Rosa's TurbineBenchmark

Time bar (total: 13.4s)

analyze281.0ms (2.1%)

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 33 to 23 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 48.0ms (53.1% of total)
ival-sub: 20.0ms (22.1% of total)
ival-div: 13.0ms (14.4% of total)
ival-add: 6.0ms (6.6% of total)
const: 3.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

sample2.6s (19.8%)

Results
2.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 986.0ms (52.3% of total)
ival-div: 534.0ms (28.3% of total)
ival-sub: 280.0ms (14.9% of total)
ival-add: 54.0ms (2.9% of total)
const: 28.0ms (1.5% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess262.0ms (2%)

Algorithm
egg-herbie
Rules
3996×*-lowering-*.f32
3996×*-lowering-*.f64
2170×fma-lowering-fma.f32
2170×fma-lowering-fma.f64
1972×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083267
1284253
21080223
33952213
02226
16025
217721
377819
4466519
0822919
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)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r 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)
(+ (fnmadd (square (* r w)) (* (fma v -2 3) (/ 1/8 (- 1 v))) (/ 2 (square r))) -3/2)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2)
(+ (fnmadd (square (* r w)) (* (fma 2 v 3) (/ 1/8 (+ v 1))) (/ 2 (square r))) -3/2)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2)
(+ (fnmadd (square (* r w)) (* (fma v -2 3) (/ 1/8 (- 1 v))) (/ 2 (square r))) -3/2)
(- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2)
(+ (fnmadd (square (* r w)) (* (fma v -2 3) (/ 1/8 (- 1 v))) (/ 2 (square r))) -3/2)
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2))
(- (/ -2 (square r)) (+ -3/2 (* (square (* r w)) (/ (* 1/8 (fma 2 v 3)) (- -1 v)))))
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2))
(- (/ -2 (square r)) (+ -3/2 (* (fma v -2 3) (/ (* 1/8 (square (* r w))) (+ v -1)))))
(neg (- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2))
(- (/ -2 (square r)) (+ -3/2 (* (fma v -2 3) (/ (* 1/8 (square (* r w))) (+ v -1)))))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 w))) (* (* (* v v) r) r)) (- 1 w))) 9/2)
(+ (fnmadd (square (* r v)) (/ (* 1/8 (fma w -2 3)) (- 1 w)) (/ 2 (square r))) -3/2)
(- (- (+ 3 (/ 2 (* v v))) (/ (* (* 1/8 (- 3 (* 2 r))) (* (* (* w w) v) v)) (- 1 r))) 9/2)
(sum3 (/ 2 (square v)) (* (* (fma r -2 3) (square (* v w))) (/ 1/8 (+ r -1))) -3/2)
(- (- (+ 3 (/ 2 (* w w))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r r) w) w)) (- 1 v))) 9/2)
(+ (fnmadd (fma v -2 3) (/ (* 1/8 (square (* r w))) (- 1 v)) (/ 2 (square w))) -3/2)
Symmetry

(abs w)

(abs r)

explain197.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-3(-5.024452137779569e+167 6.642597778546434e-159 1.2626491656308032e+85)(*.f64 (*.f64 w w) r)
190-0-(*.f64 (*.f64 (*.f64 w w) r) r)
130-3(7.536251523081487e+277 5.93441127475499e+82 1.888098174925583e-244)(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
70-0-(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
21(-1.1746302192185846e-175 3.0782590594654747e-138 7.345368593880792e+161)0-(/.f64 #s(literal 2 binary64) (*.f64 r r))
00-0-r
00-0-w
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 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 1 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 3 binary64) (*.f64 #s(literal 2 binary64) v))
00-0-(*.f64 r r)
00-0-(*.f64 w w)
00-0-(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
00-0-v
00-0-#s(literal 1/8 binary64)
00-0-#s(literal 9/2 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
Results
101.0ms512×0valid
Compiler

Compiled 332 to 68 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 25.0ms (52.8% of total)
ival-sub: 10.0ms (21.1% of total)
ival-div: 7.0ms (14.8% of total)
ival-add: 3.0ms (6.3% of total)
const: 2.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 28 to 20 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
86.5%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
95.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
Compiler

Compiled 60 to 42 computations (30% saved)

simplify200.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
cost-diff128
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
cost-diff128
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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-diff256
(-.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-diff0
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 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)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
Rules
3826×*-lowering-*.f32
3826×*-lowering-*.f64
1796×fma-lowering-fma.f32
1796×fma-lowering-fma.f64
1182×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036220
194204
2265193
31251193
44816193
08232193
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)
(* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(/ (* r (* w (* r w))) (+ v -1))
(* r (* w (* r w)))
(* w (* r w))
w
(* r w)
(+ v -1)
-1
-3/2
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
(+ 3 (/ 2 (* r r)))
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
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
(+.f64 (*.f64 (*.f64 r r) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))) (+.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
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))))
(* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))
(*.f64 (*.f64 r r) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(/ (* r (* w (* r w))) (+ v -1))
(/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))
(* r (* w (* r w)))
(*.f64 r (*.f64 w (*.f64 r w)))
(* w (* r w))
(*.f64 w (*.f64 r w))
w
(* r w)
(*.f64 r w)
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
-3/2
#s(literal -3/2 binary64)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(+.f64 (*.f64 (*.f64 r r) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))))
(+ 3 (/ 2 (* r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
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 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)))
(* 1/8 (- 3 (* 2 v)))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
1/8
#s(literal 1/8 binary64)
(- 3 (* 2 v))
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))
(* 2 v)
(*.f64 #s(literal 2 binary64) v)
v
(* (* (* w w) r) r)
(*.f64 r (*.f64 w (*.f64 r w)))
(* (* w w) r)
(*.f64 w (*.f64 r 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)

localize134.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy97.3%
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
accuracy95.5%
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
accuracy93.5%
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy87.8%
(*.f64 (*.f64 w w) r)
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy95.6%
(/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))
accuracy93.5%
(*.f64 r (*.f64 w (*.f64 r w)))
accuracy93.0%
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64))))
Results
84.0ms256×0valid
Compiler

Compiled 264 to 37 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 20.0ms (52.1% of total)
ival-add: 6.0ms (15.6% of total)
ival-div: 5.0ms (13% of total)
ival-sub: 5.0ms (13% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series50.0ms (0.4%)

Counts
13 → 384
Calls
Call 1
Inputs
#<alt (+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)>
#<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 (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))>
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))>
#<alt (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))>
#<alt (* r (* w (* r w)))>
#<alt (/ (* r (* w (* r w))) (+ v -1))>
#<alt (* (* w w) r)>
#<alt (* (* (* w w) r) r)>
Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
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#<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 (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<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 (- (+ (* -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)) v)))>
#<alt (- (+ (* -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)) (pow v 2))))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ (* -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)) (pow v 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)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -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))))) (* -1 (/ (- (+ (* -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)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<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 (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))))>
#<alt (+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))) (* (pow r 2) (pow w 2)))))>
#<alt (/ (* (pow r 2) (pow w 2)) v)>
#<alt (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)>
#<alt (/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)>
#<alt (/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3))) (+ (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)>
#<alt (/ (* (pow r 2) (pow w 2)) v)>
#<alt (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)) (* (pow r 2) (pow w 2))) v))) v))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
Calls

96 calls:

TimeVariablePointExpression
8.0ms
w
@inf
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
3.0ms
r
@inf
(* r (* w (* r w)))
2.0ms
v
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
2.0ms
w
@0
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
1.0ms
r
@0
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))

rewrite490.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
2796×/-lowering-/.f32
2796×/-lowering-/.f64
2722×*-lowering-*.f32
2722×*-lowering-*.f64
2248×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036161
1228146
22390141
08666141
Stop Event
iter limit
node limit
Counts
13 → 438
Calls
Call 1
Inputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
(/ 2 (* r r))
(* r r)
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
(* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))
(* r (* w (* r w)))
(/ (* r (* w (* r w))) (+ v -1))
(* (* w w) r)
(* (* (* w w) r) r)
Outputs
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (neg.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 w w) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v)))
(pow.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -1 binary64))
(*.f64 r (*.f64 (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64)))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.f64 w w))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.f64 w w))) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (+.f64 v #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.f64 w w))) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 r) #s(literal 2 binary64)) (*.f64 (log.f64 w) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.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))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 w w))
(*.f64 w (*.f64 r (*.f64 r w)))
(*.f64 w (*.f64 (*.f64 r w) r))
(*.f64 w (*.f64 w (*.f64 r r)))
(*.f64 (*.f64 r w) (*.f64 r w))
(*.f64 (*.f64 r (*.f64 w w)) r)
(*.f64 (*.f64 w w) (*.f64 r r))
(*.f64 (*.f64 r (*.f64 r w)) w)
(*.f64 (*.f64 (*.f64 r w) r) w)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(neg.f64 (/.f64 (*.f64 (*.f64 w w) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (+.f64 v #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))))))
(/.f64 (*.f64 (*.f64 w w) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (-.f64 #s(literal 0 binary64) (*.f64 r r)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 w w) (-.f64 #s(literal 0 binary64) (*.f64 r r))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))
(pow.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 r w) (/.f64 (*.f64 r w) (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 w w) (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 w w) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r r) (*.f64 w w)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64)))) r)
(*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (+.f64 v #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
(*.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 (+.f64 (*.f64 (log.f64 r) #s(literal 2 binary64)) (*.f64 (log.f64 w) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.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))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 w w))
(*.f64 w (*.f64 r (*.f64 r w)))
(*.f64 w (*.f64 (*.f64 r w) r))
(*.f64 w (*.f64 w (*.f64 r r)))
(*.f64 (*.f64 r w) (*.f64 r w))
(*.f64 (*.f64 r (*.f64 w w)) r)
(*.f64 (*.f64 w w) (*.f64 r r))
(*.f64 (*.f64 r (*.f64 r w)) w)
(*.f64 (*.f64 (*.f64 r w) r) w)

simplify314.0ms (2.3%)

Algorithm
egg-herbie
Rules
3270×*-lowering-*.f32
3270×*-lowering-*.f64
2388×+-lowering-+.f64
2388×+-lowering-+.f32
1464×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03597503
113535584
258185229
081785229
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 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))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 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)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -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)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -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))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -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)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -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)))))) 3/2)
(- (+ (* -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)))))) 3/2)
(- (+ (* -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)))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 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)) (pow v 2))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -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)) (pow v 3))))) (+ 3/2 (+ (* -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))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
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(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(* -1 (* (pow r 2) (pow w 2)))
(+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))) (* (pow r 2) (pow w 2)))))
(/ (* (pow r 2) (pow w 2)) v)
(/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3))) (+ (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)
(/ (* (pow r 2) (pow w 2)) v)
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v))
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))) v))
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)) (* (pow r 2) (pow w 2))) v))) v))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))))) (*.f64 r r))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 v (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 3/2)
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal -1/8 binary64))))) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 3/2)
(+.f64 (*.f64 v (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal -1/8 binary64)))))) (+.f64 #s(literal -3/2 binary64) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
(- (+ (* -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)) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w))))
(- (+ (* -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)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(+.f64 (+.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w))) v)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w))) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w))) 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)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -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)))))))
(-.f64 (+.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w (/.f64 w (*.f64 v (*.f64 v v))))))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w))) (+.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w (/.f64 w (*.f64 v (*.f64 v v))))))) (*.f64 (*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v)) (/.f64 #s(literal -1/8 binary64) v)))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
(- (+ (* -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)) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w)))) v)))
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w)))) v)) v) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(/ 2 (pow r 2))
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(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(* -1 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1 binary64)))
(+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))
(neg.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))))
(-.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 v #s(literal 1 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 r (*.f64 r (*.f64 w w))))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))) (* (pow r 2) (pow w 2)))))
(-.f64 (*.f64 v (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 v #s(literal 1 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 r (*.f64 r (*.f64 w w))))
(/ (* (pow r 2) (pow w 2)) v)
(*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v))
(/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)
(/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w))) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/.f64 (+.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w))) v)) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3))) (+ (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w))) v) (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (*.f64 w (/.f64 w (*.f64 v (*.f64 v v))))))) v)
(/ (* (pow r 2) (pow w 2)) v)
(*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v))
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v))
(/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w))) v)
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))) v))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w))) v))) v)
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)) (* (pow r 2) (pow w 2))) v))) v))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (+.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (*.f64 w w))) v)) v))) v)
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* (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)))

eval108.0ms (0.8%)

Compiler

Compiled 39346 to 2133 computations (94.6% saved)

prune109.0ms (0.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New85720877
Fresh000
Picked202
Done000
Total85920879
Accuracy
100.0%
Counts
879 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.4%
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64))))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))))
53.4%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal 3/2 binary64))) (*.f64 r (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) #s(literal -9/4 binary64)))) (*.f64 r (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal 3/2 binary64))))
51.8%
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))))))) #s(literal -27/8 binary64)) (*.f64 r r)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) (-.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))) #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) (-.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))) (*.f64 r r)))
33.7%
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))
47.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
97.2%
(-.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3 binary64))) #s(literal 9/2 binary64))
55.5%
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
58.4%
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
50.5%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
95.3%
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
90.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
83.4%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.f64 w w))))) #s(literal -3/2 binary64)))
98.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 r w) r) w) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
99.8%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
67.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v))) #s(literal -3/2 binary64)))
91.4%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
82.7%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
60.9%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
57.9%
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
53.2%
(*.f64 (*.f64 r r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
Compiler

Compiled 1668 to 764 computations (54.2% saved)

simplify228.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w))
cost-diff0
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
cost-diff0
(*.f64 w w)
cost-diff512
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
cost-diff0
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 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)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
cost-diff0
(+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 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)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
Rules
2930×*-lowering-*.f32
2930×*-lowering-*.f64
2096×/-lowering-/.f32
2096×/-lowering-/.f64
1628×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040359
1126337
2364337
31242337
43650337
55948337
67612337
08096337
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2)
(* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1)))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(/ (* (* r w) (* r w)) (+ v -1))
(* (* r w) (* r w))
(* r w)
w
(+ v -1)
-1
-3/2
(/ 2 (* r r))
2
(* r r)
r
(+ (/ 2 (* r r)) (+ (* (* r r) (* (* w w) -3/8)) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* r r) (* (* w w) -3/8)) -3/2)
(* (* r r) (* (* w w) -3/8))
(* (* w w) -3/8)
(* w w)
w
-3/8
-3/2
(+ (/ 2 (* r r)) (+ (* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1)))) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1)))) -3/2)
(* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1))))
(* (+ 3/8 (* v -1/4)) r)
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(* (* r w) (/ w (+ v -1)))
(* r w)
w
(/ w (+ v -1))
(+ v -1)
-1
-3/2
(* (* w w) (+ (/ (/ 2 (* r r)) (* w w)) (+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w)))))
(* w w)
w
(+ (/ (/ 2 (* r r)) (* w w)) (+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w))))
(/ (/ 2 (* r r)) (* w w))
(/ 2 (* r r))
2
(* r r)
r
(+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w)))
(/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1))
(* (* r r) (+ 3/8 (* -1/4 v)))
(+ 3/8 (* -1/4 v))
3/8
(* -1/4 v)
-1/4
v
(+ v -1)
-1
(/ -3/2 (* w w))
-3/2
Outputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64))) #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
(+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2)
(+.f64 (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))
(* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1)))
(/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(/ (* (* r w) (* r w)) (+ v -1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(* (* r w) (* r w))
(*.f64 r (*.f64 r (*.f64 w w)))
(* r w)
(*.f64 r w)
w
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
-3/2
#s(literal -3/2 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (/ 2 (* r r)) (+ (* (* r r) (* (* w w) -3/8)) -3/2))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))))))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (* (* r r) (* (* w w) -3/8)) -3/2)
(+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w)))))
(* (* r r) (* (* w w) -3/8))
(*.f64 w (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))))
(* (* w w) -3/8)
(*.f64 w (*.f64 w #s(literal -3/8 binary64)))
(* w w)
(*.f64 w w)
w
-3/8
#s(literal -3/8 binary64)
-3/2
#s(literal -3/2 binary64)
(+ (/ 2 (* r r)) (+ (* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1)))) -3/2))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64))) #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
(+ (* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1)))) -3/2)
(+.f64 (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))
(* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1))))
(/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))
(* (+ 3/8 (* v -1/4)) r)
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(* (* r w) (/ w (+ v -1)))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(* r w)
(*.f64 r w)
w
(/ w (+ v -1))
(/.f64 w (+.f64 v #s(literal -1 binary64)))
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
-3/2
#s(literal -3/2 binary64)
(* (* w w) (+ (/ (/ 2 (* r r)) (* w w)) (+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
(* w w)
(*.f64 w w)
w
(+ (/ (/ 2 (* r r)) (* w w)) (+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w))))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (*.f64 (*.f64 r r) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64)))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
(/ (/ 2 (* r r)) (* w w))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w)))
(+.f64 (*.f64 (*.f64 r r) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64)))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))
(/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1))
(*.f64 (*.f64 r r) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))))
(* (* r r) (+ 3/8 (* -1/4 v)))
(*.f64 r (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))
(+ 3/8 (* -1/4 v))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* -1/4 v)
(*.f64 v #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
v
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-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)

localize291.0ms (2.2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy90.3%
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
accuracy86.1%
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
accuracy78.5%
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w))
accuracy68.6%
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
accuracy99.9%
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r)
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.5%
(*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))
accuracy87.4%
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64)))))
accuracy100.0%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
accuracy99.8%
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy78.4%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
accuracy100.0%
(*.f64 r r)
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.6%
(*.f64 (*.f64 r w) (*.f64 r w))
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy95.6%
(/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))
accuracy93.0%
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64))))
Results
114.0ms245×0valid
90.0ms2valid
6.0ms1valid
Compiler

Compiled 440 to 41 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-mult: 109.0ms (78.9% of total)
ival-add: 14.0ms (10.1% of total)
ival-div: 11.0ms (8% of total)
backward-pass: 4.0ms (2.9% of total)
const: 1.0ms (0.7% of total)

series42.0ms (0.3%)

Counts
21 → 576
Calls
Call 1
Inputs
#<alt (+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2)>
#<alt (+ (/ 2 (* r r)) (+ (* (* r r) (* (* w w) -3/8)) -3/2))>
#<alt (+ (* (* r r) (* (* w w) -3/8)) -3/2)>
#<alt (+ (/ 2 (* r r)) (+ (* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1)))) -3/2))>
#<alt (+ (* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1)))) -3/2)>
#<alt (* (* w w) (+ (/ (/ 2 (* r r)) (* w w)) (+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w)))))>
#<alt (* w w)>
#<alt (+ (/ (/ 2 (* r r)) (* w w)) (+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w))))>
#<alt (/ (/ 2 (* r r)) (* w w))>
#<alt (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1)))>
#<alt (/ (* (* r w) (* r w)) (+ v -1))>
#<alt (* (* r w) (* r w))>
#<alt (* (* r r) (* (* w w) -3/8))>
#<alt (* (* w w) -3/8)>
#<alt (* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1))))>
#<alt (* (* r w) (/ w (+ v -1)))>
#<alt (* (+ 3/8 (* v -1/4)) r)>
#<alt (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1))>
Outputs
#<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) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 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))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -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)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))>
#<alt (- (+ (* -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)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -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))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -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)) v))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (pow r 2)>
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#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 3/2)>
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#<alt (- (+ (* -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)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))>
#<alt (- (+ (* -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)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -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)))))))>
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#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
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#<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)))))) 3/2)>
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#<alt (- (+ (* -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)) (pow v 3))))) (+ 3/2 (+ (* -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))) 3/2)>
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#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt -3/2>
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#<alt -3/2>
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#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
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#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
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#<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 (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<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 (- (+ (* -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)) v)))>
#<alt (- (+ (* -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)) (pow v 2))))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ (* -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)) (pow v 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)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -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))))) (* -1 (/ (- (+ (* -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)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (* -1 (* r (pow w 2)))>
#<alt (+ (* -1 (* r (* v (pow w 2)))) (* -1 (* r (pow w 2))))>
#<alt (+ (* -1 (* r (pow w 2))) (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))))>
#<alt (+ (* -1 (* r (pow w 2))) (* v (- (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))) (* r (pow w 2)))))>
#<alt (/ (* r (pow w 2)) v)>
#<alt (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v)>
#<alt (/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 2))) (* -1 (/ (* r (pow w 2)) v))) v)>
#<alt (/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 3))) (+ (* -1 (/ (* r (pow w 2)) v)) (* -1 (/ (* r (pow w 2)) (pow v 2))))) v)>
#<alt (/ (* r (pow w 2)) v)>
#<alt (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v)) (* r (pow w 2))) v))) v))>
#<alt (* 3/8 r)>
#<alt (+ (* -1/4 (* r v)) (* 3/8 r))>
#<alt (+ (* -1/4 (* r v)) (* 3/8 r))>
#<alt (+ (* -1/4 (* r v)) (* 3/8 r))>
#<alt (* -1/4 (* r v))>
#<alt (* v (+ (* -1/4 r) (* 3/8 (/ r v))))>
#<alt (* v (+ (* -1/4 r) (* 3/8 (/ r v))))>
#<alt (* v (+ (* -1/4 r) (* 3/8 (/ r v))))>
#<alt (* -1/4 (* r v))>
#<alt (* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))>
#<alt (* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))>
#<alt (* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (* r (+ 3/8 (* -1/4 v)))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (* -3/8 (pow r 2))>
#<alt (+ (* -3/8 (pow r 2)) (* v (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2)))))>
#<alt (+ (* -3/8 (pow r 2)) (* v (- (+ (* 1/4 (pow r 2)) (* v (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2))))) (* 3/8 (pow r 2)))))>
#<alt (+ (* -3/8 (pow r 2)) (* v (- (+ (* 1/4 (pow r 2)) (* v (- (* v (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2)))) (* -1 (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2))))))) (* 3/8 (pow r 2)))))>
#<alt (* -1/4 (pow r 2))>
#<alt (- (+ (* -1/4 (pow r 2)) (* 3/8 (/ (pow r 2) v))) (* 1/4 (/ (pow r 2) v)))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* 3/8 (/ (pow r 2) v)) (* 3/8 (/ (pow r 2) (pow v 2))))) (+ (* 1/4 (/ (pow r 2) v)) (* 1/4 (/ (pow r 2) (pow v 2)))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* 3/8 (/ (pow r 2) v)) (* 3/8 (/ (pow r 2) (pow v 3))))) (+ (* -1 (/ (- (* 3/8 (pow r 2)) (* 1/4 (pow r 2))) (pow v 2))) (+ (* 1/4 (/ (pow r 2) v)) (* 1/4 (/ (pow r 2) (pow v 3))))))>
#<alt (* -1/4 (pow r 2))>
#<alt (- (+ (* -1/4 (pow r 2)) (* 3/8 (/ (pow r 2) v))) (* 1/4 (/ (pow r 2) v)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (pow r 2)) (* 1/4 (pow r 2)))) (* 1/4 (/ (pow r 2) v))) (* 3/8 (/ (pow r 2) v))) v)) (* -1/4 (pow r 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* 3/8 (pow r 2)) (* 1/4 (pow r 2)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2)))) (* 3/8 (/ (pow r 2) v))) (* 1/4 (/ (pow r 2) v))) v))) v)) (* -1/4 (pow r 2)))>
Calls

144 calls:

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

rewrite374.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
3724×*-lowering-*.f32
3724×*-lowering-*.f64
2484×fma-lowering-fma.f32
2484×fma-lowering-fma.f64
1740×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040237
1303219
24009219
08101219
Stop Event
iter limit
node limit
Counts
21 → 677
Calls
Call 1
Inputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2))
(/ 2 (* r r))
(* r r)
(+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2)
(+ (/ 2 (* r r)) (+ (* (* r r) (* (* w w) -3/8)) -3/2))
(+ (* (* r r) (* (* w w) -3/8)) -3/2)
(+ (/ 2 (* r r)) (+ (* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1)))) -3/2))
(+ (* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1)))) -3/2)
(* (* w w) (+ (/ (/ 2 (* r r)) (* w w)) (+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w)))))
(* w w)
(+ (/ (/ 2 (* r r)) (* w w)) (+ (/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1)) (/ -3/2 (* w w))))
(/ (/ 2 (* r r)) (* w w))
(* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1)))
(/ (* (* r w) (* r w)) (+ v -1))
(* (* r w) (* r w))
(* (* r r) (* (* w w) -3/8))
(* (* w w) -3/8)
(* (* (+ 3/8 (* v -1/4)) r) (* (* r w) (/ w (+ v -1))))
(* (* r w) (/ w (+ v -1)))
(* (+ 3/8 (* v -1/4)) r)
(/ (* (* r r) (+ 3/8 (* -1/4 v))) (+ v -1))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))))
(+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) #s(literal -3/2 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))))) (/.f64 (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))))
(fma.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r w) (/.f64 (+.f64 v #s(literal -1 binary64)) w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 r (*.f64 (/.f64 w (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r w) (*.f64 (*.f64 r (/.f64 w (+.f64 v #s(literal -1 binary64)))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (/.f64 (*.f64 r w) (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 r w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
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(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 r (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 v))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 r (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r r))
(*.f64 (/.f64 (*.f64 r (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 v #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 r (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))

simplify334.0ms (2.5%)

Algorithm
egg-herbie
Rules
3578×*-lowering-*.f32
3578×*-lowering-*.f64
3010×+-lowering-+.f64
3010×+-lowering-+.f32
1574×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042110911
114718044
257027622
082237622
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 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))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 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)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -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)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -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))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -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)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -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)))))) 3/2)
(- (+ (* -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)))))) 3/2)
(- (+ (* -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)))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 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)) (pow v 2))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -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)) (pow v 3))))) (+ 3/2 (+ (* -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))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 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))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 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)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -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)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -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))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -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)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
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(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
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(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
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(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(* -1 (* (pow r 2) (pow w 2)))
(+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))
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(/ (* (pow r 2) (pow w 2)) v)
(/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3))) (+ (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)
(/ (* (pow r 2) (pow w 2)) v)
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v))
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))) v))
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(* (pow r 2) (pow w 2))
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(* (pow r 2) (pow w 2))
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(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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 w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (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))) (* 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)))
(- (+ (* -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)) 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)) (pow v 2))))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))
(- (+ (* -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)) (pow v 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)) (* 1/4 (/ (* (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))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))
(+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -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))))) (* -1 (/ (- (+ (* -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)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
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(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(* -1 (* r (pow w 2)))
(+ (* -1 (* r (* v (pow w 2)))) (* -1 (* r (pow w 2))))
(+ (* -1 (* r (pow w 2))) (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))))
(+ (* -1 (* r (pow w 2))) (* v (- (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))) (* r (pow w 2)))))
(/ (* r (pow w 2)) v)
(/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v)
(/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 2))) (* -1 (/ (* r (pow w 2)) v))) v)
(/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 3))) (+ (* -1 (/ (* r (pow w 2)) v)) (* -1 (/ (* r (pow w 2)) (pow v 2))))) v)
(/ (* r (pow w 2)) v)
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v))
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v))) v))
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v)) (* r (pow w 2))) v))) v))
(* 3/8 r)
(+ (* -1/4 (* r v)) (* 3/8 r))
(+ (* -1/4 (* r v)) (* 3/8 r))
(+ (* -1/4 (* r v)) (* 3/8 r))
(* -1/4 (* r v))
(* v (+ (* -1/4 r) (* 3/8 (/ r v))))
(* v (+ (* -1/4 r) (* 3/8 (/ r v))))
(* v (+ (* -1/4 r) (* 3/8 (/ r v))))
(* -1/4 (* r v))
(* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))
(* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))
(* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(* r (+ 3/8 (* -1/4 v)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(* -3/8 (pow r 2))
(+ (* -3/8 (pow r 2)) (* v (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2)))))
(+ (* -3/8 (pow r 2)) (* v (- (+ (* 1/4 (pow r 2)) (* v (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2))))) (* 3/8 (pow r 2)))))
(+ (* -3/8 (pow r 2)) (* v (- (+ (* 1/4 (pow r 2)) (* v (- (* v (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2)))) (* -1 (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2))))))) (* 3/8 (pow r 2)))))
(* -1/4 (pow r 2))
(- (+ (* -1/4 (pow r 2)) (* 3/8 (/ (pow r 2) v))) (* 1/4 (/ (pow r 2) v)))
(- (+ (* -1/4 (pow r 2)) (+ (* 3/8 (/ (pow r 2) v)) (* 3/8 (/ (pow r 2) (pow v 2))))) (+ (* 1/4 (/ (pow r 2) v)) (* 1/4 (/ (pow r 2) (pow v 2)))))
(- (+ (* -1/4 (pow r 2)) (+ (* 3/8 (/ (pow r 2) v)) (* 3/8 (/ (pow r 2) (pow v 3))))) (+ (* -1 (/ (- (* 3/8 (pow r 2)) (* 1/4 (pow r 2))) (pow v 2))) (+ (* 1/4 (/ (pow r 2) v)) (* 1/4 (/ (pow r 2) (pow v 3))))))
(* -1/4 (pow r 2))
(- (+ (* -1/4 (pow r 2)) (* 3/8 (/ (pow r 2) v))) (* 1/4 (/ (pow r 2) v)))
(+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (pow r 2)) (* 1/4 (pow r 2)))) (* 1/4 (/ (pow r 2) v))) (* 3/8 (/ (pow r 2) v))) v)) (* -1/4 (pow r 2)))
(+ (* -1 (/ (+ (* -1 (- (* 3/8 (pow r 2)) (* 1/4 (pow r 2)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2)))) (* 3/8 (/ (pow r 2) v))) (* 1/4 (/ (pow r 2) v))) v))) v)) (* -1/4 (pow r 2)))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r #s(literal -3/2 binary64)))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))))) (*.f64 r r))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
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(/.f64 (+.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v)) v)
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v)) (* r (pow w 2))) v))) v))
(/.f64 (+.f64 (*.f64 r (*.f64 w w)) (/.f64 (+.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v)) v)) v)
(* 3/8 r)
(*.f64 r #s(literal 3/8 binary64))
(+ (* -1/4 (* r v)) (* 3/8 r))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(+ (* -1/4 (* r v)) (* 3/8 r))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(+ (* -1/4 (* r v)) (* 3/8 r))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* -1/4 (* r v))
(*.f64 r (*.f64 #s(literal -1/4 binary64) v))
(* v (+ (* -1/4 r) (* 3/8 (/ r v))))
(*.f64 v (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 3/8 binary64)) v)))
(* v (+ (* -1/4 r) (* 3/8 (/ r v))))
(*.f64 v (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 3/8 binary64)) v)))
(* v (+ (* -1/4 r) (* 3/8 (/ r v))))
(*.f64 v (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 3/8 binary64)) v)))
(* -1/4 (* r v))
(*.f64 r (*.f64 #s(literal -1/4 binary64) v))
(* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))
(*.f64 v (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 3/8 binary64)) v)))
(* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))
(*.f64 v (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 3/8 binary64)) v)))
(* -1 (* v (+ (* -3/8 (/ r v)) (* 1/4 r))))
(*.f64 v (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 3/8 binary64)) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* r (+ 3/8 (* -1/4 v)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(* -3/8 (pow r 2))
(*.f64 r (*.f64 r #s(literal -3/8 binary64)))
(+ (* -3/8 (pow r 2)) (* v (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2)))))
(+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) v)))
(+ (* -3/8 (pow r 2)) (* v (- (+ (* 1/4 (pow r 2)) (* v (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2))))) (* 3/8 (pow r 2)))))
(+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) v)))
(+ (* -3/8 (pow r 2)) (* v (- (+ (* 1/4 (pow r 2)) (* v (- (* v (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2)))) (* -1 (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2))))))) (* 3/8 (pow r 2)))))
(+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (*.f64 v (+.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) v)) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)))))
(* -1/4 (pow r 2))
(*.f64 (*.f64 r r) #s(literal -1/4 binary64))
(- (+ (* -1/4 (pow r 2)) (* 3/8 (/ (pow r 2) v))) (* 1/4 (/ (pow r 2) v)))
(+.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) v))
(- (+ (* -1/4 (pow r 2)) (+ (* 3/8 (/ (pow r 2) v)) (* 3/8 (/ (pow r 2) (pow v 2))))) (+ (* 1/4 (/ (pow r 2) v)) (* 1/4 (/ (pow r 2) (pow v 2)))))
(+.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 r r) v) (/.f64 (*.f64 r r) (*.f64 v v))) #s(literal 1/8 binary64)))
(- (+ (* -1/4 (pow r 2)) (+ (* 3/8 (/ (pow r 2) v)) (* 3/8 (/ (pow r 2) (pow v 3))))) (+ (* -1 (/ (- (* 3/8 (pow r 2)) (* 1/4 (pow r 2))) (pow v 2))) (+ (* 1/4 (/ (pow r 2) v)) (* 1/4 (/ (pow r 2) (pow v 3))))))
(+.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (+.f64 (/.f64 (*.f64 r r) v) (/.f64 (*.f64 r r) (*.f64 v (*.f64 v v))))) (+.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 r r) v) (/.f64 (*.f64 r r) (*.f64 v (*.f64 v v))))))))
(* -1/4 (pow r 2))
(*.f64 (*.f64 r r) #s(literal -1/4 binary64))
(- (+ (* -1/4 (pow r 2)) (* 3/8 (/ (pow r 2) v))) (* 1/4 (/ (pow r 2) v)))
(+.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) v))
(+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (pow r 2)) (* 1/4 (pow r 2)))) (* 1/4 (/ (pow r 2) v))) (* 3/8 (/ (pow r 2) v))) v)) (* -1/4 (pow r 2)))
(-.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 r r) v) #s(literal -1/8 binary64))) v))
(+ (* -1 (/ (+ (* -1 (- (* 3/8 (pow r 2)) (* 1/4 (pow r 2)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (pow r 2)) (* 3/8 (pow r 2)))) (* 3/8 (/ (pow r 2) v))) (* 1/4 (/ (pow r 2) v))) v))) v)) (* -1/4 (pow r 2)))
(+.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) v)) v)) v))

eval204.0ms (1.5%)

Compiler

Compiled 55551 to 2512 computations (95.5% saved)

prune135.0ms (1%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1520141534
Fresh9615
Picked325
Done000
Total1532221554
Accuracy
100.0%
Counts
1554 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
47.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
47.7%
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
58.4%
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
50.5%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
95.3%
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
90.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
99.8%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
67.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v))) #s(literal -3/2 binary64)))
69.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (*.f64 r (*.f64 w w)) v)) #s(literal -3/2 binary64)))
85.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) r) #s(literal -3/2 binary64)))
94.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
95.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
81.6%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
60.9%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
60.4%
(*.f64 (*.f64 w (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 r (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) w)
33.7%
(*.f64 (*.f64 w w) (/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w))
24.6%
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)))
25.4%
(*.f64 (*.f64 w w) (/.f64 (+.f64 (/.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
57.8%
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
43.1%
(*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
32.9%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
Compiler

Compiled 836 to 557 computations (33.4% saved)

simplify294.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 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)) (+.f64 (*.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w)
cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w)
cost-diff0
(*.f64 w w)
cost-diff512
(*.f64 (*.f64 w w) (/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w))
cost-diff0
(*.f64 w w)
cost-diff0
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
cost-diff0
(*.f64 r r)
cost-diff0
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) r)
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff0
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
Rules
4780×+-lowering-+.f64
4780×+-lowering-+.f32
4452×*-lowering-*.f32
4452×*-lowering-*.f64
1960×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031217
178201
2204195
3493187
4705183
5905183
61578183
73673183
86536183
08801183
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ 2 (* r r)) (+ (* (* r w) (* (* r w) -3/8)) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* r w) (* (* r w) -3/8)) -3/2)
(* (* r w) (* (* r w) -3/8))
(* r w)
w
(* (* r w) -3/8)
-3/8
-3/2
(/ (/ 2 r) r)
(/ 2 r)
2
r
(* (* r r) (* (* w w) -3/8))
(* r r)
r
(* (* w w) -3/8)
(* w w)
w
-3/8
(* (* w w) (/ (/ (+ -3/2 (/ 2 (* r r))) w) w))
(* w w)
w
(/ (/ (+ -3/2 (/ 2 (* r r))) w) w)
(/ (+ -3/2 (/ 2 (* r r))) w)
(+ -3/2 (/ 2 (* r r)))
-3/2
(/ 2 (* r r))
2
(* r r)
r
(+ (/ 2 (* r r)) (+ (* (* r 3/8) (* (* r w) (/ w (+ v -1)))) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* r 3/8) (* (* r w) (/ w (+ v -1)))) -3/2)
(* (* r 3/8) (* (* r w) (/ w (+ v -1))))
(* r 3/8)
3/8
(* (* r w) (/ w (+ v -1)))
(* r w)
w
(/ w (+ v -1))
(+ v -1)
v
-1
-3/2
Outputs
(+ (/ 2 (* r r)) (+ (* (* r w) (* (* r w) -3/8)) -3/2))
(+.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) (+.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
(+ (* (* r w) (* (* r w) -3/8)) -3/2)
(+.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64))
(* (* r w) (* (* r w) -3/8))
(*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))
(* r w)
(*.f64 r w)
w
(* (* r w) -3/8)
(*.f64 (*.f64 r w) #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
-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
(* (* r r) (* (* w w) -3/8))
(*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))
(* r r)
(*.f64 r r)
r
(* (* w w) -3/8)
(*.f64 #s(literal -3/8 binary64) (*.f64 w w))
(* w w)
(*.f64 w w)
w
-3/8
#s(literal -3/8 binary64)
(* (* w w) (/ (/ (+ -3/2 (/ 2 (* r r))) w) w))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(* w w)
(*.f64 w w)
w
(/ (/ (+ -3/2 (/ 2 (* r r))) w) w)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w w))
(/ (+ -3/2 (/ 2 (* r r))) w)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) 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)
r
(+ (/ 2 (* r r)) (+ (* (* r 3/8) (* (* r w) (/ w (+ v -1)))) -3/2))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 w #s(literal 3/8 binary64))))) (+.f64 v #s(literal -1 binary64)))))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (* (* r 3/8) (* (* r w) (/ w (+ v -1)))) -3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 w #s(literal 3/8 binary64))))) (+.f64 v #s(literal -1 binary64))))
(* (* r 3/8) (* (* r w) (/ w (+ v -1))))
(/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 w #s(literal 3/8 binary64))))) (+.f64 v #s(literal -1 binary64)))
(* r 3/8)
(*.f64 r #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
(* (* r w) (/ w (+ v -1)))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(* r w)
(*.f64 r w)
w
(/ w (+ v -1))
(/.f64 w (+.f64 v #s(literal -1 binary64)))
(+ v -1)
(+.f64 v #s(literal -1 binary64))
v
-1
#s(literal -1 binary64)
-3/2
#s(literal -3/2 binary64)

localize148.0ms (1.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.5%
(*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))
accuracy94.2%
(*.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64)))))
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy98.0%
(/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w)
accuracy94.4%
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w)
accuracy52.7%
(*.f64 (*.f64 w w) (/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w))
accuracy100.0%
(*.f64 w w)
accuracy100.0%
(*.f64 r r)
accuracy99.8%
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
accuracy78.4%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) r)
accuracy99.7%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy100.0%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
accuracy99.8%
(*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)))
accuracy99.6%
(*.f64 (*.f64 r w) #s(literal -3/8 binary64))
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
Results
90.0ms256×0valid
Compiler

Compiled 239 to 32 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 19.0ms (46.9% of total)
ival-div: 14.0ms (34.5% of total)
ival-add: 7.0ms (17.3% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series51.0ms (0.4%)

Counts
18 → 408
Calls
Call 1
Inputs
#<alt (+ (/ 2 (* r r)) (+ (* (* r w) (* (* r w) -3/8)) -3/2))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ (* (* r w) (* (* r w) -3/8)) -3/2)>
#<alt (/ (/ 2 r) r)>
#<alt (/ 2 r)>
#<alt (* (* r r) (* (* w w) -3/8))>
#<alt (* (* w w) -3/8)>
#<alt (* w w)>
#<alt (* (* w w) (/ (/ (+ -3/2 (/ 2 (* r r))) w) w))>
#<alt (/ (/ (+ -3/2 (/ 2 (* r r))) w) w)>
#<alt (/ (+ -3/2 (/ 2 (* r r))) w)>
#<alt (+ (/ 2 (* r r)) (+ (* (* r 3/8) (* (* r w) (/ w (+ v -1)))) -3/2))>
#<alt (+ (* (* r 3/8) (* (* r w) (/ w (+ v -1)))) -3/2)>
#<alt (* (* r w) -3/8)>
#<alt (* (* r w) (* (* r w) -3/8))>
#<alt (* (* r 3/8) (* (* r w) (/ w (+ v -1))))>
#<alt (* (* r w) (/ w (+ v -1)))>
Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 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 -3/2>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 2)>
#<alt (pow w 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 (/ 1 (pow r 2))) 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 (/ 1 (pow r 2))) 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 (/ 1 (pow r 2))) 3/2)>
#<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 (* (pow r 2) (pow w 2)))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (/ -3/2 (pow w 2))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (/ -3/2 (pow w 2))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ 2 (* (pow r 2) w))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) w)) (* 2 (/ 1 w))) (pow r 2))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) w)) (* 2 (/ 1 w))) (pow r 2))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) w)) (* 2 (/ 1 w))) (pow r 2))>
#<alt (/ -3/2 w)>
#<alt (- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))>
#<alt (- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))>
#<alt (- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))>
#<alt (/ -3/2 w)>
#<alt (- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))>
#<alt (- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))>
#<alt (- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2))) (pow r 2))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* 3/8 (/ (pow w 2) (- v 1))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* 3/8 (/ (pow w 2) (- v 1))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* 3/8 (/ (pow w 2) (- v 1))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* 3/8 (/ (pow w 2) (- v 1))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))))))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt -3/2>
#<alt (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)>
#<alt (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)>
#<alt (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)>
#<alt (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)>
#<alt (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2)))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2)))))))) 3/2)>
#<alt -3/2>
#<alt (- (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) 3/2)>
#<alt (- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) 3/2)>
#<alt (- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) 3/2)>
#<alt -3/2>
#<alt (- (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) 3/2)>
#<alt (- (* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) 3/2)>
#<alt (- (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v)) 3/2)>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* r w))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))))))>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)>
#<alt (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)>
#<alt (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) v)>
#<alt (* 3/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (/ (* r (pow w 2)) (- v 1))>
#<alt (* -1 (* r (pow w 2)))>
#<alt (+ (* -1 (* r (* v (pow w 2)))) (* -1 (* r (pow w 2))))>
#<alt (+ (* -1 (* r (pow w 2))) (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))))>
#<alt (+ (* -1 (* r (pow w 2))) (* v (- (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))) (* r (pow w 2)))))>
#<alt (/ (* r (pow w 2)) v)>
#<alt (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v)>
#<alt (/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 2))) (* -1 (/ (* r (pow w 2)) v))) v)>
#<alt (/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 3))) (+ (* -1 (/ (* r (pow w 2)) v)) (* -1 (/ (* r (pow w 2)) (pow v 2))))) v)>
#<alt (/ (* r (pow w 2)) v)>
#<alt (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v)) (* r (pow w 2))) v))) v))>
Calls

102 calls:

TimeVariablePointExpression
6.0ms
r
@inf
(+ (/ 2 (* r r)) (+ (* (* r 3/8) (* (* r w) (/ w (+ v -1)))) -3/2))
6.0ms
r
@inf
(/ (+ -3/2 (/ 2 (* r r))) w)
1.0ms
r
@0
(* (* r w) -3/8)
0.0ms
r
@inf
(* (* r w) -3/8)
0.0ms
w
@0
(* (* r w) -3/8)

rewrite436.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
2814×fma-lowering-fma.f32
2814×fma-lowering-fma.f64
2782×/-lowering-/.f32
2782×/-lowering-/.f64
2378×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031147
1185135
22020133
08297133
Stop Event
iter limit
node limit
Counts
18 → 556
Calls
Call 1
Inputs
(+ (/ 2 (* r r)) (+ (* (* r w) (* (* r w) -3/8)) -3/2))
(/ 2 (* r r))
(* r r)
(+ (* (* r w) (* (* r w) -3/8)) -3/2)
(/ (/ 2 r) r)
(/ 2 r)
(* (* r r) (* (* w w) -3/8))
(* (* w w) -3/8)
(* w w)
(* (* w w) (/ (/ (+ -3/2 (/ 2 (* r r))) w) w))
(/ (/ (+ -3/2 (/ 2 (* r r))) w) w)
(/ (+ -3/2 (/ 2 (* r r))) w)
(+ (/ 2 (* r r)) (+ (* (* r 3/8) (* (* r w) (/ w (+ v -1)))) -3/2))
(+ (* (* r 3/8) (* (* r w) (/ w (+ v -1)))) -3/2)
(* (* r w) -3/8)
(* (* r w) (* (* r w) -3/8))
(* (* r 3/8) (* (* r w) (/ w (+ v -1))))
(* (* r w) (/ w (+ v -1)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))))))
(+.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))))) #s(literal -3/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))))) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))))))
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64))) (-.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))))) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))))) #s(literal -3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))))) #s(literal -3/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 r (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 w (*.f64 (*.f64 w #s(literal -3/8 binary64)) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 w (*.f64 r (*.f64 r (*.f64 w #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 w #s(literal -3/8 binary64))) (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 (+.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r r) (*.f64 w w))) (*.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -27/512 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64)) (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 9/16 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 r (*.f64 r r))) (*.f64 r (*.f64 r r))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (/.f64 r (/.f64 #s(literal 2 binary64) r))))) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64)) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
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(/.f64 (neg.f64 (*.f64 r w)) (neg.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) w)))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (*.f64 w w)))) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 v))))
(/.f64 (neg.f64 (*.f64 (*.f64 r w) (-.f64 #s(literal 0 binary64) w))) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 v))))
(/.f64 (neg.f64 (*.f64 (*.f64 r w) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) w)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) w) (*.f64 r w))) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 v))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 r w))) (neg.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) w)))
(pow.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w w))) #s(literal -1 binary64))
(*.f64 r (/.f64 w (/.f64 (+.f64 v #s(literal -1 binary64)) w)))
(*.f64 w (*.f64 r (/.f64 w (+.f64 v #s(literal -1 binary64)))))
(*.f64 w (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)))
(*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) (*.f64 r w))
(*.f64 (/.f64 w (/.f64 (+.f64 v #s(literal -1 binary64)) w)) r)
(*.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r) w)
(*.f64 (/.f64 (*.f64 r (*.f64 w w)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 v #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 r (*.f64 w w)) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))

simplify301.0ms (2.2%)

Algorithm
egg-herbie
Rules
4102×*-lowering-*.f32
4102×*-lowering-*.f64
1988×+-lowering-+.f64
1988×+-lowering-+.f32
1976×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02054634
16243699
221083450
368703446
080473446
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/ 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)
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(pow w 2)
(pow w 2)
(pow w 2)
(pow w 2)
(pow w 2)
(pow w 2)
(pow w 2)
(pow w 2)
(pow w 2)
(pow w 2)
(pow w 2)
(pow w 2)
(- (* 2 (/ 1 (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)
(- (* 2 (/ 1 (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)
(- (* 2 (/ 1 (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)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(/ 2 (* (pow r 2) (pow w 2)))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ -3/2 (pow w 2))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/ -3/2 (pow w 2))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ 2 (* (pow r 2) w))
(/ (+ (* -3/2 (/ (pow r 2) w)) (* 2 (/ 1 w))) (pow r 2))
(/ (+ (* -3/2 (/ (pow r 2) w)) (* 2 (/ 1 w))) (pow r 2))
(/ (+ (* -3/2 (/ (pow r 2) w)) (* 2 (/ 1 w))) (pow r 2))
(/ -3/2 w)
(- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))
(- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))
(- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))
(/ -3/2 w)
(- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))
(- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))
(- (* 2 (/ 1 (* (pow r 2) w))) (* 3/2 (/ 1 w)))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) w)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2))) (pow r 2))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* 3/8 (/ (pow w 2) (- v 1))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* 3/8 (/ (pow w 2) (- v 1))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* 3/8 (/ (pow w 2) (- v 1))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* 3/8 (/ (pow w 2) (- v 1))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* 3/8 (/ (pow r 2) (- v 1))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (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 (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))))))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) 3/2)
-3/2
(- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)
(- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)
(- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* 3/8 (/ (pow w 2) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)
(- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)
(- (* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1))) 3/2)
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* 3/8 (/ (pow r 2) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2)))))))) 3/2)
-3/2
(- (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) 3/2)
(- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) 3/2)
(- (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) 3/2)
-3/2
(- (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) 3/2)
(- (* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) 3/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v)) 3/2)
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* r w))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(* -3/8 (* (pow r 2) (pow w 2)))
(+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))))))
(* 3/8 (/ (* (pow r 2) (pow w 2)) v))
(/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)
(/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) v)
(* 3/8 (/ (* (pow r 2) (pow w 2)) v))
(* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(/ (* r (pow w 2)) (- v 1))
(* -1 (* r (pow w 2)))
(+ (* -1 (* r (* v (pow w 2)))) (* -1 (* r (pow w 2))))
(+ (* -1 (* r (pow w 2))) (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))))
(+ (* -1 (* r (pow w 2))) (* v (- (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))) (* r (pow w 2)))))
(/ (* r (pow w 2)) v)
(/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v)
(/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 2))) (* -1 (/ (* r (pow w 2)) v))) v)
(/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 3))) (+ (* -1 (/ (* r (pow w 2)) v)) (* -1 (/ (* r (pow w 2)) (pow v 2))))) v)
(/ (* r (pow w 2)) v)
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v))
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v))) v))
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v)) (* r (pow w 2))) v))) v))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))))) (*.f64 r r))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w 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))
(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)
-3/2
#s(literal -3/2 binary64)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
-3/2
#s(literal -3/2 binary64)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w 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 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)
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* (pow r 2) (pow w 2)))
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(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* 3/8 (/ (* (pow r 2) (pow w 2)) (- v 1)))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (+.f64 v #s(literal -1 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -3/8 binary64) v)))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (+.f64 (*.f64 w (*.f64 (*.f64 w v) v)) (*.f64 (+.f64 v #s(literal 1 binary64)) (*.f64 w w))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -3/8 (* (pow r 2) (* v (pow w 2)))) (* -3/8 (* (pow r 2) (pow w 2))))))))
(*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -3/8 binary64) v))))
(* 3/8 (/ (* (pow r 2) (pow w 2)) v))
(*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 w w) v))))
(/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/8 binary64) v))) v)
(/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v)))))) v)
(/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) v)
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r r) (+.f64 (*.f64 w (+.f64 w (/.f64 w v))) (*.f64 (/.f64 (/.f64 w v) v) (+.f64 w (/.f64 w v)))))) v)
(* 3/8 (/ (* (pow r 2) (pow w 2)) v))
(*.f64 r (*.f64 r (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 w w) v))))
(* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v))
(/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/8 binary64) v))) v)
(* -1 (/ (+ (* -1 (/ (+ (* 3/8 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/8 binary64) v))) v) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* -3/8 (* (pow r 2) (pow w 2)))) v))
(/.f64 (+.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/8 binary64) v))) v) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) v)) v)
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* r (pow w 2)) (- v 1))
(/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(* -1 (* r (pow w 2)))
(*.f64 r (-.f64 #s(literal 0 binary64) (*.f64 w w)))
(+ (* -1 (* r (* v (pow w 2)))) (* -1 (* r (pow w 2))))
(*.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal -1 binary64) v))
(+ (* -1 (* r (pow w 2))) (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))))
(-.f64 (*.f64 v (*.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal -1 binary64) v))) (*.f64 r (*.f64 w w)))
(+ (* -1 (* r (pow w 2))) (* v (- (* v (- (* -1 (* r (* v (pow w 2)))) (* r (pow w 2)))) (* r (pow w 2)))))
(+.f64 (*.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal -1 binary64) v)) (*.f64 v (*.f64 v (*.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal -1 binary64) v)))))
(/ (* r (pow w 2)) v)
(*.f64 r (/.f64 (*.f64 w w) v))
(/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v)
(*.f64 (/.f64 (*.f64 w w) v) (+.f64 r (/.f64 r v)))
(/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 2))) (* -1 (/ (* r (pow w 2)) v))) v)
(/.f64 (*.f64 r (+.f64 (*.f64 w w) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) v)
(/ (- (+ (* r (pow w 2)) (/ (* r (pow w 2)) (pow v 3))) (+ (* -1 (/ (* r (pow w 2)) v)) (* -1 (/ (* r (pow w 2)) (pow v 2))))) v)
(/.f64 (+.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 (*.f64 w w) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) v)) v)
(/ (* r (pow w 2)) v)
(*.f64 r (/.f64 (*.f64 w w) v))
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v))
(*.f64 (/.f64 (*.f64 w w) v) (+.f64 r (/.f64 r v)))
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v))) v))
(/.f64 (*.f64 r (+.f64 (*.f64 w w) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) v)
(* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v)) (* r (pow w 2))) v))) v))
(/.f64 (+.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 (*.f64 w w) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) v)) v)

eval142.0ms (1.1%)

Compiler

Compiled 30875 to 2009 computations (93.5% saved)

prune158.0ms (1.2%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New111991128
Fresh51015
Picked325
Done022
Total1127231150
Accuracy
100.0%
Counts
1150 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.2%
(/.f64 (/.f64 (*.f64 w w) (/.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) w)
47.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
47.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
58.4%
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
50.5%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
95.3%
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
90.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
99.8%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
67.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v))) #s(literal -3/2 binary64)))
69.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (*.f64 r (*.f64 w w)) v)) #s(literal -3/2 binary64)))
94.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w) #s(literal -3/2 binary64)))
85.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) r) #s(literal -3/2 binary64)))
95.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
60.9%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
35.4%
(*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w)
35.7%
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
35.4%
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
30.8%
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
57.8%
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
33.7%
(*.f64 (*.f64 w w) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) w) (/.f64 #s(literal 1 binary64) w)))
36.6%
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
43.1%
(*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
14.5%
#s(literal -3/2 binary64)
Compiler

Compiled 736 to 500 computations (32.1% saved)

simplify214.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) r) #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)) (+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) r) #s(literal -3/2 binary64)))
cost-diff0
(*.f64 (*.f64 r r) #s(literal 3 binary64))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r))
cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
cost-diff0
(*.f64 w #s(literal -3/8 binary64))
cost-diff0
(*.f64 r w)
cost-diff0
(*.f64 (*.f64 r w) r)
cost-diff0
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) r)
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff0
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
Rules
4786×fma-define
2588×fma-lowering-fma.f32
2588×fma-lowering-fma.f64
2318×*-lowering-*.f32
2318×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037230
187193
2181192
3522192
41499192
52951192
63415192
74162192
84930192
95284192
105468192
116648192
126648192
136754192
146754192
156754192
167690192
177720192
187720192
08050192
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ (/ 2 r) r) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
(/ (/ 2 r) r)
(/ 2 r)
2
r
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)
(* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(/ (* r (* w (* r w))) (+ v -1))
(* r (* w (* r w)))
(* w (* r w))
w
(* r w)
(+ v -1)
-1
-3/2
-3/2
(* (* (* r w) r) (* w -3/8))
(* (* r w) r)
(* r w)
r
w
(* w -3/8)
-3/8
(- (/ (+ 2 (* (* r r) 3)) (* r r)) 9/2)
(/ (+ 2 (* (* r r) 3)) (* r r))
(+ 2 (* (* r r) 3))
2
(* (* r r) 3)
(* r r)
r
3
9/2
(+ (/ 2 (* r r)) (+ (* (* r (* w (* w -3/8))) r) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* r (* w (* w -3/8))) r) -3/2)
(* (* r (* w (* w -3/8))) r)
(* r (* w (* w -3/8)))
(* w (* w -3/8))
w
(* w -3/8)
-3/8
-3/2
Outputs
(+ (/ (/ 2 r) r) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
(+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w)) (+.f64 v #s(literal -1 binary64))) (+.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
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)
(+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))
(* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))
(/.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w)) (+.f64 v #s(literal -1 binary64)))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(/ (* r (* w (* r w))) (+ v -1))
(/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))
(* r (* w (* r w)))
(*.f64 r (*.f64 w (*.f64 r w)))
(* w (* r w))
(*.f64 w (*.f64 r w))
w
(* r w)
(*.f64 r w)
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
-3/2
#s(literal -3/2 binary64)
-3/2
#s(literal -3/2 binary64)
(* (* (* r w) r) (* w -3/8))
(*.f64 r (*.f64 (*.f64 w (*.f64 r w)) #s(literal -3/8 binary64)))
(* (* r w) r)
(*.f64 r (*.f64 r w))
(* r w)
(*.f64 r w)
r
w
(* w -3/8)
(*.f64 w #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
(- (/ (+ 2 (* (* r r) 3)) (* r r)) 9/2)
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal -9/2 binary64))
(/ (+ 2 (* (* r r) 3)) (* r r))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r))
(+ 2 (* (* r r) 3))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64)))
2
#s(literal 2 binary64)
(* (* r r) 3)
(*.f64 (*.f64 r r) #s(literal 3 binary64))
(* r r)
(*.f64 r r)
r
3
#s(literal 3 binary64)
9/2
#s(literal 9/2 binary64)
(+ (/ 2 (* r r)) (+ (* (* r (* w (* w -3/8))) r) -3/2))
(+.f64 (*.f64 r (*.f64 (*.f64 w (*.f64 r w)) #s(literal -3/8 binary64))) (+.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)
r
(+ (* (* r (* w (* w -3/8))) r) -3/2)
(+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 (*.f64 w (*.f64 r w)) #s(literal -3/8 binary64))))
(* (* r (* w (* w -3/8))) r)
(*.f64 r (*.f64 (*.f64 w (*.f64 r w)) #s(literal -3/8 binary64)))
(* r (* w (* w -3/8)))
(*.f64 (*.f64 w (*.f64 r w)) #s(literal -3/8 binary64))
(* w (* w -3/8))
(*.f64 w (*.f64 w #s(literal -3/8 binary64)))
w
(* w -3/8)
(*.f64 w #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
-3/2
#s(literal -3/2 binary64)

localize198.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 w (*.f64 w #s(literal -3/8 binary64)))
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy93.5%
(*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) r)
accuracy87.8%
(*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64))))
accuracy100.0%
(*.f64 r r)
accuracy100.0%
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
accuracy99.7%
(*.f64 (*.f64 r r) #s(literal 3 binary64))
accuracy83.1%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r))
accuracy100.0%
(*.f64 w #s(literal -3/8 binary64))
accuracy100.0%
(*.f64 r w)
accuracy99.8%
(*.f64 (*.f64 r w) r)
accuracy96.4%
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
accuracy99.7%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy95.6%
(/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))
accuracy93.5%
(*.f64 r (*.f64 w (*.f64 r w)))
accuracy93.0%
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64))))
Results
129.0ms256×0valid
Compiler

Compiled 250 to 38 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 23.0ms (48.2% of total)
ival-div: 13.0ms (27.2% of total)
ival-add: 9.0ms (18.8% of total)
ival-sub: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
22 → 456
Calls
Call 1
Inputs
#<alt (+ (/ (/ 2 r) r) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))>
#<alt (/ (/ 2 r) r)>
#<alt (/ 2 r)>
#<alt (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)>
#<alt (* (* (* r w) r) (* w -3/8))>
#<alt (* (* r w) r)>
#<alt (* r w)>
#<alt (* w -3/8)>
#<alt (- (/ (+ 2 (* (* r r) 3)) (* r r)) 9/2)>
#<alt (/ (+ 2 (* (* r r) 3)) (* r r))>
#<alt (+ 2 (* (* r r) 3))>
#<alt (* (* r r) 3)>
#<alt (+ (/ 2 (* r r)) (+ (* (* r (* w (* w -3/8))) r) -3/2))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ (* (* r (* w (* w -3/8))) r) -3/2)>
#<alt (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))>
#<alt (* r (* w (* r w)))>
#<alt (/ (* r (* w (* r w))) (+ v -1))>
#<alt (* r (* w (* w -3/8)))>
#<alt (* (* r (* w (* w -3/8))) r)>
#<alt (* w (* w -3/8))>
Outputs
#<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) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 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))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -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)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))>
#<alt (- (+ (* -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)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -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))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -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)) v))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<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)))))) 3/2)>
#<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)))))) 3/2)>
#<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)))))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -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)) (pow v 2))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))>
#<alt (- (+ (* -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)) (pow v 3))))) (+ 3/2 (+ (* -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))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt -3/2>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<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 (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 w)>
#<alt (* -3/8 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 (/ 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>
#<alt (+ 2 (* 3 (pow r 2)))>
#<alt (+ 2 (* 3 (pow r 2)))>
#<alt (+ 2 (* 3 (pow r 2)))>
#<alt (* 3 (pow r 2))>
#<alt (* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))>
#<alt (* 3 (pow r 2))>
#<alt (* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (* 3 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 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 -3/2>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (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 (- (+ (* -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)) v)))>
#<alt (- (+ (* -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)) (pow v 2))))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ (* -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)) (pow v 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)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -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))))) (* -1 (/ (- (+ (* -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)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<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 (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))))>
#<alt (+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))) (* (pow r 2) (pow w 2)))))>
#<alt (/ (* (pow r 2) (pow w 2)) v)>
#<alt (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)>
#<alt (/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)>
#<alt (/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3))) (+ (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)>
#<alt (/ (* (pow r 2) (pow w 2)) v)>
#<alt (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)) (* (pow r 2) (pow w 2))) v))) v))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
#<alt (* -3/8 (pow w 2))>
Calls

114 calls:

TimeVariablePointExpression
0.0ms
r
@inf
(- (/ (+ 2 (* (* r r) 3)) (* r r)) 9/2)
0.0ms
r
@0
(* r (* w (* w -3/8)))
0.0ms
w
@-inf
(* w -3/8)
0.0ms
r
@inf
(* (* r r) 3)
0.0ms
r
@0
(/ (+ 2 (* (* r r) 3)) (* r r))

rewrite386.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
2752×/-lowering-/.f32
2752×/-lowering-/.f64
2620×*-lowering-*.f32
2620×*-lowering-*.f64
2502×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037185
1227150
22350149
08478149
Stop Event
iter limit
node limit
Counts
22 → 571
Calls
Call 1
Inputs
(+ (/ (/ 2 r) r) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
(/ (/ 2 r) r)
(/ 2 r)
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)
(* (* (* r w) r) (* w -3/8))
(* (* r w) r)
(* r w)
(* w -3/8)
(- (/ (+ 2 (* (* r r) 3)) (* r r)) 9/2)
(/ (+ 2 (* (* r r) 3)) (* r r))
(+ 2 (* (* r r) 3))
(* (* r r) 3)
(+ (/ 2 (* r r)) (+ (* (* r (* w (* w -3/8))) r) -3/2))
(/ 2 (* r r))
(* r r)
(+ (* (* r (* w (* w -3/8))) r) -3/2)
(* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))
(* r (* w (* r w)))
(/ (* r (* w (* r w))) (+ v -1))
(* r (* w (* w -3/8)))
(* (* r (* w (* w -3/8))) r)
(* w (* w -3/8))
Outputs
(+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 w (*.f64 r r))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
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(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w (*.f64 w (*.f64 r r)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64)))
(pow.f64 (*.f64 r w) #s(literal 2 binary64))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 w (*.f64 w (*.f64 r r)))
(*.f64 (*.f64 r w) (*.f64 r w))
(*.f64 (*.f64 r (*.f64 w w)) r)
(*.f64 (*.f64 w (*.f64 r r)) w)
(*.f64 (*.f64 r r) (*.f64 w w))
(*.f64 (*.f64 w w) (*.f64 r r))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 w (*.f64 r r))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 w (*.f64 w (*.f64 r r))) (-.f64 #s(literal 0 binary64) (+.f64 v #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 w (*.f64 w (*.f64 r r)))) (+.f64 v #s(literal -1 binary64))))
(/.f64 (*.f64 w (*.f64 w (*.f64 r r))) (+.f64 v #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 w (*.f64 r r))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 w (*.f64 w (*.f64 r r)))) (-.f64 #s(literal 0 binary64) (+.f64 v #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 w (*.f64 r r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 w (*.f64 r r)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 w (*.f64 w (*.f64 r r))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 v #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 v #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 v #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 r w) (/.f64 (*.f64 r w) (+.f64 v #s(literal -1 binary64))))
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(*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64))))
(*.f64 w (*.f64 r (*.f64 w #s(literal -3/8 binary64))))
(*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64))
(*.f64 (*.f64 w #s(literal -3/8 binary64)) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 w #s(literal -3/8 binary64))) r)
(*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) w)
(*.f64 r (*.f64 w (*.f64 r (*.f64 w #s(literal -3/8 binary64)))))
(*.f64 w (*.f64 r (*.f64 r (*.f64 w #s(literal -3/8 binary64)))))
(*.f64 w (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r r))))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -3/8 binary64))))
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
(*.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 w (*.f64 r r))))
(*.f64 (*.f64 w #s(literal -3/8 binary64)) (*.f64 w (*.f64 r r)))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))))
(*.f64 (*.f64 w (*.f64 w #s(literal -3/8 binary64))) (*.f64 r r))
(*.f64 (*.f64 w (*.f64 r (*.f64 w #s(literal -3/8 binary64)))) r)
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
(*.f64 w (*.f64 w #s(literal -3/8 binary64)))
(*.f64 #s(literal -3/8 binary64) (*.f64 w w))
(*.f64 (*.f64 w #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))

simplify267.0ms (2%)

Algorithm
egg-herbie
Rules
2032×*-lowering-*.f32
2032×*-lowering-*.f64
1922×fnmadd-define
1776×sum3-define
1574×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02155625
17244212
227953932
082053932
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))) 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))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 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)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -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)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -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))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -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)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -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)))))) 3/2)
(- (+ (* -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)))))) 3/2)
(- (+ (* -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)))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 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)) (pow v 2))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -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)) (pow v 3))))) (+ 3/2 (+ (* -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))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (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)))
(* -3/8 (* (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)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
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(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
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(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
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(* (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)
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(* r w)
(* -3/8 w)
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(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
2
(+ 2 (* 3 (pow r 2)))
(+ 2 (* 3 (pow r 2)))
(+ 2 (* 3 (pow r 2)))
(* 3 (pow r 2))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* 3 (pow r 2))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(* 3 (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/ 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)
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (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)))
(- (+ (* -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)) 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)) (pow v 2))))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))
(- (+ (* -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)) (pow v 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)) (* 1/4 (/ (* (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))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))
(+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 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))) v)) (* -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))))) (* -1 (/ (- (+ (* -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)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(* -1 (* (pow r 2) (pow w 2)))
(+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))) (* (pow r 2) (pow w 2)))))
(/ (* (pow r 2) (pow w 2)) v)
(/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3))) (+ (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)
(/ (* (pow r 2) (pow w 2)) v)
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v))
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))) v))
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)) (* (pow r 2) (pow w 2))) v))) v))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (pow w 2)))
(* -3/8 (* r (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (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)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
(* -3/8 (pow w 2))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))) (*.f64 r r))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 (*.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 #s(literal -1/8 binary64) v))))
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(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 r r) (*.f64 w w))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(* -1 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (-.f64 #s(literal 0 binary64) (*.f64 w w)))
(+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (+.f64 (*.f64 w w) (*.f64 (*.f64 w w) v)))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))))
(-.f64 (*.f64 v (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (+.f64 (*.f64 w w) (*.f64 (*.f64 w w) v)))) (*.f64 (*.f64 r r) (*.f64 w w)))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))) (* (pow r 2) (pow w 2)))))
(-.f64 (*.f64 v (-.f64 (*.f64 v (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (+.f64 (*.f64 w w) (*.f64 (*.f64 w w) v)))) (*.f64 (*.f64 r r) (*.f64 w w)))) (*.f64 (*.f64 r r) (*.f64 w w)))
(/ (* (pow r 2) (pow w 2)) v)
(*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))
(/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)
(/.f64 (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (/.f64 (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v)) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3))) (+ (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v) (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (/.f64 (/.f64 (*.f64 w w) v) v) v)))) v)
(/ (* (pow r 2) (pow w 2)) v)
(*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v))
(/.f64 (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v)
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))) v))
(/.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (/.f64 (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v)) v)
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)) (* (pow r 2) (pow w 2))) v))) v))
(/.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (/.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (/.f64 (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v)) v)) v)
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))

eval266.0ms (2%)

Compiler

Compiled 36783 to 2097 computations (94.3% saved)

prune130.0ms (1%)

Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New110251107
Fresh41014
Picked145
Done044
Total1107231130
Accuracy
100.0%
Counts
1130 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.2%
(/.f64 (/.f64 (*.f64 w w) (/.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) w)
47.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
47.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
58.4%
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
50.5%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
95.3%
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
60.9%
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
90.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
99.8%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
67.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v))) #s(literal -3/2 binary64)))
69.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (*.f64 r (*.f64 w w)) v)) #s(literal -3/2 binary64)))
91.9%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) w) r) #s(literal -3/2 binary64)))
95.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
34.4%
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
35.7%
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
35.4%
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
34.4%
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
30.8%
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
57.8%
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
33.7%
(*.f64 (*.f64 w w) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) w) (/.f64 #s(literal 1 binary64) w)))
36.6%
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
43.7%
(*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
14.5%
#s(literal -3/2 binary64)
Compiler

Compiled 1627 to 515 computations (68.3% saved)

regimes127.0ms (0.9%)

Counts
50 → 1
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
(*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w)
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)))
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(*.f64 (*.f64 w w) (/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w))
(/.f64 (/.f64 (*.f64 w w) (/.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) w)
(*.f64 (*.f64 w w) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) w) (/.f64 #s(literal 1 binary64) w)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) w) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
(*.f64 (*.f64 w w) (/.f64 (+.f64 (/.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (*.f64 r (*.f64 w w)) v)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 r w) r) w) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.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 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(*.f64 (*.f64 w (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 (*.f64 r (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) w)
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal 3/2 binary64))) (*.f64 r (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) #s(literal -9/4 binary64)))) (*.f64 r (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal 3/2 binary64))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r)))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64))))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))))
(-.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))))))) #s(literal -27/8 binary64)) (*.f64 r r)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) (-.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))) #s(literal 2 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) (-.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))) (*.f64 r r)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
Calls

6 calls:

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

Compiled 80 to 55 computations (31.3% saved)

regimes50.0ms (0.4%)

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

4 calls:

14.0ms
v
13.0ms
w
10.0ms
r
9.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
97.2%2v
99.2%2w
99.2%2r
98.9%2(*.f64 w w)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes50.0ms (0.4%)

Counts
35 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
(*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w)
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)))
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(*.f64 (*.f64 w w) (/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w))
(/.f64 (/.f64 (*.f64 w w) (/.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) w)
(*.f64 (*.f64 w w) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) w) (/.f64 #s(literal 1 binary64) w)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) w) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
(/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))) (+.f64 v #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
(*.f64 (*.f64 w w) (/.f64 (+.f64 (/.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (*.f64 r (*.f64 w w)) v)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (*.f64 (*.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
Calls

4 calls:

17.0ms
w
11.0ms
v
10.0ms
r
9.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
97.2%2v
95.5%1(*.f64 w w)
95.5%1w
95.5%1r
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.2%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
(*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w)
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)))
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(*.f64 (*.f64 w w) (/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w))
(/.f64 (/.f64 (*.f64 w w) (/.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) w)
(*.f64 (*.f64 w w) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) w) (/.f64 #s(literal 1 binary64) w)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) w) r) #s(literal -3/2 binary64)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
Calls

2 calls:

10.0ms
v
10.0ms
r
Results
AccuracySegmentsBranch
95.5%1r
95.5%1v
Compiler

Compiled 8 to 6 computations (25% saved)

regimes60.0ms (0.4%)

Counts
23 → 3
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
(*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w)
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)))
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(*.f64 (*.f64 w w) (/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w))
(/.f64 (/.f64 (*.f64 w w) (/.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) w)
(*.f64 (*.f64 w w) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) w) (/.f64 #s(literal 1 binary64) w)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
Calls

4 calls:

34.0ms
v
11.0ms
(*.f64 w w)
7.0ms
w
7.0ms
r
Results
AccuracySegmentsBranch
82.7%1v
84.8%2w
84.8%2(*.f64 w w)
92.3%3r
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
(*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w)
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)))
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(*.f64 (*.f64 w w) (/.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) w) w))
(/.f64 (/.f64 (*.f64 w w) (/.f64 w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) w)
(*.f64 (*.f64 w w) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) w) (/.f64 #s(literal 1 binary64) w)))
Outputs
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
Calls

1 calls:

7.0ms
r
Results
AccuracySegmentsBranch
88.2%3r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Counts
18 → 3
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
(*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w)
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)))
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
Outputs
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
Calls

1 calls:

22.0ms
r
Results
AccuracySegmentsBranch
88.2%3r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
(*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w)
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)))
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
Outputs
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
Calls

4 calls:

6.0ms
(*.f64 w w)
5.0ms
w
5.0ms
r
5.0ms
v
Results
AccuracySegmentsBranch
64.5%3v
72.9%2w
72.9%2(*.f64 w w)
77.6%2r
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -3/8 binary64)))
(*.f64 (*.f64 (*.f64 r w) (*.f64 w #s(literal -3/8 binary64))) r)
(*.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) r) w)
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)))
(*.f64 (*.f64 w w) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r w))) w))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
Calls

1 calls:

5.0ms
r
Results
AccuracySegmentsBranch
77.6%2r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
r
Results
AccuracySegmentsBranch
75.2%2r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
Calls

3 calls:

4.0ms
w
3.0ms
v
3.0ms
r
Results
AccuracySegmentsBranch
60.9%1v
60.9%1w
60.9%1r
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal -3/2 binary64)
Calls

3 calls:

2.0ms
w
2.0ms
v
2.0ms
r
Results
AccuracySegmentsBranch
47.8%1w
47.8%1v
60.8%2r
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

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

3 calls:

3.0ms
v
1.0ms
r
1.0ms
w
Results
AccuracySegmentsBranch
14.5%1v
14.5%1w
14.5%1r
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch50.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
47.0ms
1.1916660800024593e-29
3.639325304515466e-28
Results
14.0ms112×0valid
Compiler

Compiled 388 to 272 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49.5% of total)
ival-div: 2.0ms (19.8% of total)
ival-sub: 2.0ms (19.8% of total)
ival-add: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
2.1358973610487593
39.72959015240258
Results
14.0ms112×0valid
Compiler

Compiled 332 to 223 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49.2% of total)
ival-div: 2.0ms (19.7% of total)
ival-sub: 2.0ms (19.7% of total)
ival-add: 1.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
4.274919826999899e+146
3.830731925850093e+151
17.0ms
8.92186039351278e-117
6.84289671202907e-116
Results
33.0ms240×0valid
Compiler

Compiled 524 to 360 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 13.0ms (54.3% of total)
ival-sub: 6.0ms (25.1% of total)
ival-div: 3.0ms (12.5% of total)
ival-add: 1.0ms (4.2% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch80.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
68.0ms
4.274919826999899e+146
3.830731925850093e+151
8.0ms
4.9229522368901294e-5
5.774607209003359e-5
Results
69.0ms192×0valid
Compiler

Compiled 434 to 288 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 54.0ms (87.4% of total)
ival-sub: 4.0ms (6.5% of total)
ival-div: 3.0ms (4.9% of total)
ival-add: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
4.274919826999899e+146
3.830731925850093e+151
8.0ms
4.9229522368901294e-5
5.774607209003359e-5
Results
26.0ms192×0valid
Compiler

Compiled 434 to 300 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 10.0ms (54.2% of total)
ival-sub: 4.0ms (21.7% of total)
ival-div: 3.0ms (16.3% of total)
ival-add: 1.0ms (5.4% of total)
const: 1.0ms (5.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
4.9229522368901294e-5
5.774607209003359e-5
Results
6.0ms48×0valid
Compiler

Compiled 128 to 90 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (46.6% of total)
ival-div: 1.0ms (23.3% of total)
ival-sub: 1.0ms (23.3% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
4.9229522368901294e-5
5.774607209003359e-5
Results
8.0ms48×0valid
Compiler

Compiled 110 to 81 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (46.3% of total)
ival-div: 1.0ms (23.1% of total)
ival-sub: 1.0ms (23.1% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
4.9229522368901294e-5
5.774607209003359e-5
Results
6.0ms48×0valid
Compiler

Compiled 110 to 81 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (46.8% of total)
ival-div: 1.0ms (23.4% of total)
ival-sub: 1.0ms (23.4% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
4.9229522368901294e-5
5.774607209003359e-5
Results
8.0ms48×0valid
Compiler

Compiled 80 to 63 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (75.6% of total)
ival-div: 1.0ms (15.1% of total)
ival-sub: 1.0ms (15.1% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
56×*-commutative_binary64
48×+-commutative_binary64
20×sub-neg_binary64
16×neg-sub0_binary64
16×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084339
1125339
2144339
3160339
4174339
5182339
6186339
7187339
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 6065802694000329/89202980794122492566142873090593446023921664 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64))))
(if (<=.f64 v #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (if (<=.f64 r #s(literal 38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))))
(if (<=.f64 r #s(literal 2102928824402889/36893488147419103232 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64)) (if (<=.f64 r #s(literal 38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472 binary64)) (*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))))
(if (<=.f64 r #s(literal 2102928824402889/36893488147419103232 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64)) (if (<=.f64 r #s(literal 38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472 binary64)) (*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))))
(if (<=.f64 r #s(literal 7378697629483821/147573952589676412928 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64)) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w)))
(if (<=.f64 r #s(literal 3910709743626425/73786976294838206464 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w)))
(if (<=.f64 r #s(literal 7673845534663173/147573952589676412928 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(if (<=.f64 r #s(literal 2102928824402889/36893488147419103232 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 6065802694000329/89202980794122492566142873090593446023921664 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 6065802694000329/89202980794122492566142873090593446023921664 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 1/4 binary64)))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))))))
(if (<=.f64 v #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w))))
(if (<=.f64 v #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 (*.f64 r r) #s(literal 1/4 binary64)))))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)))))
(if (<=.f64 r #s(literal 1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (if (<=.f64 r #s(literal 38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))))
(if (<=.f64 r #s(literal 1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (if (<=.f64 r #s(literal 38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -3/8 binary64))))))
(if (<=.f64 r #s(literal 2102928824402889/36893488147419103232 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64)) (if (<=.f64 r #s(literal 38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472 binary64)) (*.f64 (*.f64 r r) (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))))
(if (<=.f64 r #s(literal 2102928824402889/36893488147419103232 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64)) (if (<=.f64 r #s(literal 38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472 binary64)) (*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -3/8 binary64))))))
(if (<=.f64 r #s(literal 2102928824402889/36893488147419103232 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64)) (if (<=.f64 r #s(literal 38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472 binary64)) (*.f64 r (*.f64 r (+.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))))
(if (<=.f64 r #s(literal 2102928824402889/36893488147419103232 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64)) (if (<=.f64 r #s(literal 38000000000000000362010740996030570265764272365158915667926303816832894685975084924058266377513288763869254360760036547885329637985186250334770636521472 binary64)) (*.f64 r (*.f64 r (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -3/8 binary64))))))
(if (<=.f64 r #s(literal 7378697629483821/147573952589676412928 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64)) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w)))
(if (<=.f64 r #s(literal 7378697629483821/147573952589676412928 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) (*.f64 r r)) #s(literal 9/2 binary64)) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -3/8 binary64)))))
(if (<=.f64 r #s(literal 3910709743626425/73786976294838206464 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w)))
(if (<=.f64 r #s(literal 3910709743626425/73786976294838206464 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -3/8 binary64)))))
(if (<=.f64 r #s(literal 7673845534663173/147573952589676412928 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))
(if (<=.f64 r #s(literal 7673845534663173/147573952589676412928 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(if (<=.f64 r #s(literal 2102928824402889/36893488147419103232 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)

soundness3.2s (23.6%)

Rules
4102×*-lowering-*.f32
4102×*-lowering-*.f64
3996×*-lowering-*.f32
3996×*-lowering-*.f64
3724×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042110911
114718044
257027622
082237622
02155625
17244212
227953932
082053932
02054634
16243699
221083450
368703446
080473446
03597503
113535584
258185229
081785229
040237
1303219
24009219
08101219
036161
1228146
22390141
08666141
02226
16025
217721
377819
4466519
0822919
031147
1185135
22020133
08297133
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
iter limit
node limit
Compiler

Compiled 1034 to 576 computations (44.3% saved)

preprocess120.0ms (0.9%)

Remove

(abs r)

(abs w)

Compiler

Compiled 972 to 364 computations (62.6% saved)

end0.0ms (0%)

Profiling

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