Rosa's TurbineBenchmark

Time bar (total: 15.1s)

analyze185.0ms (1.2%)

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: 87.0ms
ival-mult: 46.0ms (53% of total)
ival-sub: 19.0ms (21.9% of total)
ival-div: 14.0ms (16.1% of total)
ival-add: 5.0ms (5.8% of total)
const: 3.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

sample1.7s (11%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 810.0ms
ival-mult: 389.0ms (48% of total)
ival-sub: 187.0ms (23.1% of total)
ival-div: 126.0ms (15.6% of total)
ival-add: 81.0ms (10% of total)
const: 24.0ms (3% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess258.0ms (1.7%)

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
21068223
33913213
02226
16025
217721
377819
4465119
0821519
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
Outputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(+.f64 (*.f64 (+.f64 #s(literal 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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 (fma v -2 3) (/ (* 1/8 (square (* r w))) (- 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 (fma v -2 3) (/ (* 1/8 (square (* r w))) (- 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 (fma v -2 3) (/ (* 1/8 (square (* r w))) (- 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 (* 1/8 (* (fma 2 v 3) (/ (square (* r w)) (+ v 1))))))
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2))
(sum3 (/ -2 (square r)) (fnmsub (fma v -2 3) (/ (* 1/8 (square (* r w))) (+ v -1)) 3) 9/2)
(neg (- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2))
(sum3 (/ -2 (square r)) (fnmsub (fma v -2 3) (/ (* 1/8 (square (* r w))) (+ v -1)) 3) 9/2)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 w))) (* (* (* v v) r) r)) (- 1 w))) 9/2)
(sum3 (/ 2 (square r)) (* 1/8 (/ (* (fma w -2 3) (square (* r v))) (+ w -1))) -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 1/8 (* (fma v -2 3) (/ (square (* r w)) (- 1 v))) (/ 2 (square w))) -3/2)
Symmetry

(abs w)

(abs r)

explain288.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
270-3(-2.9701331227915037e+60 5.879563739426306e-161 7.667215479314899e+51)(*.f64 (*.f64 w w) r)
200-1(1.146215126446e+169 2.7820380076260604e-279 2.2696401399510923e+238)(*.f64 (*.f64 (*.f64 w w) r) r)
150-3(-3.114927997426518e+288 3.734302385093488e+132 2.513163900572761e-290)(*.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))
110-0-(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
30-0-(/.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
155.0ms512×0valid
Compiler

Compiled 332 to 68 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 26.0ms (49.3% of total)
ival-sub: 15.0ms (28.5% of total)
ival-div: 7.0ms (13.3% of total)
ival-add: 3.0ms (5.7% of total)
const: 2.0ms (3.8% 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
86.0%
(-.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))
88.5%
(+.f64 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Compiler

Compiled 60 to 42 computations (30% saved)

simplify673.0ms (4.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
cost-diff128
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
cost-diff128
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff0
(*.f64 v #s(literal -1/4 binary64))
cost-diff0
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
cost-diff0
(*.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))))
cost-diff0
(+.f64 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Rules
3760×*-lowering-*.f32
3760×*-lowering-*.f64
1816×fma-lowering-fma.f32
1816×fma-lowering-fma.f64
1180×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035209
191204
2269184
31262184
44851184
08261184
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* r (* w w))) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(* (+ 3/8 (* v -1/4)) (/ (* r (* r (* w w))) (+ v -1)))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(/ (* r (* r (* w w))) (+ v -1))
(* r (* r (* w w)))
r
(* r (* w w))
(* w w)
w
(+ v -1)
-1
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
-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
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* r (* w w))) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(+.f64 (/.f64 (*.f64 w (*.f64 r (*.f64 w (*.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 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(* (+ 3/8 (* v -1/4)) (/ (* r (* r (* w w))) (+ v -1)))
(/.f64 (*.f64 w (*.f64 r (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))))) (+.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 (* r (* w w))) (+ v -1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(* r (* r (* w w)))
(*.f64 r (*.f64 r (*.f64 w w)))
r
(* r (* w w))
(*.f64 r (*.f64 w w))
(* w w)
(*.f64 w w)
w
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
-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 w (*.f64 r (*.f64 w (*.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 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 w (*.f64 r (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))))) (+.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 w (*.f64 r (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))))) (-.f64 #s(literal 1 binary64) v))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
(*.f64 w (*.f64 r (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))))
(* 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 v #s(literal 2 binary64))
v
(* (* (* w w) r) r)
(*.f64 r (*.f64 r (*.f64 w w)))
(* (* w w) r)
(*.f64 r (*.f64 w w))
(* w w)
(*.f64 w w)
w
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
9/2
#s(literal 9/2 binary64)

localize413.0ms (2.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy95.9%
(/.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))
accuracy95.3%
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
accuracy93.0%
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy90.5%
(*.f64 (*.f64 w w) r)
accuracy95.2%
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
accuracy94.8%
(*.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))))
accuracy93.0%
(*.f64 r (*.f64 r (*.f64 w w)))
accuracy90.5%
(*.f64 r (*.f64 w w))
Results
145.0ms256×0valid
Compiler

Compiled 252 to 36 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 17.0ms (46.8% of total)
ival-add: 8.0ms (22% of total)
ival-div: 5.0ms (13.8% of total)
ival-sub: 5.0ms (13.8% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series176.0ms (1.2%)

Counts
15 → 396
Calls
Call 1
Inputs
#<alt (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* r (* w w))) (+ v -1))) (+ (/ 2 (* r r)) -3/2))>
#<alt (* (+ 3/8 (* v -1/4)) (/ (* r (* r (* w w))) (+ v -1)))>
#<alt (+ 3/8 (* v -1/4))>
#<alt (* v -1/4)>
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)>
#<alt (* 1/8 (- 3 (* 2 v)))>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))>
#<alt (+ 3 (/ 2 (* r r)))>
#<alt (* r (* w w))>
#<alt (* r (* r (* w w)))>
#<alt (/ (* r (* r (* w w))) (+ v -1))>
#<alt (* (* w w) r)>
#<alt (* (* (* w w) r) r)>
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))>
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))>
Outputs
#<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)))))))>
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#<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 (pow r 2))>
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#<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 (* -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)))>
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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))))) (+ (* 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)))>
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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))))>
#<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))>
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#<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))>
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#<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 3/8>
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#<alt (+ 3/8 (* -1/4 v))>
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#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
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#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
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#<alt (* -1/4 v)>
#<alt (* -1/4 v)>
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#<alt (* -1/4 v)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
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#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt 3/8>
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#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
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#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
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#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (/ (* (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))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
Calls

99 calls:

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

rewrite284.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
3288×*-lowering-*.f32
3288×*-lowering-*.f64
1964×sum5-define
1898×fma-lowering-fma.f32
1898×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035157
1115151
2603133
35770133
08304133
Stop Event
iter limit
node limit
Counts
15 → 590
Calls
Call 1
Inputs
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* r (* w w))) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(* (+ 3/8 (* v -1/4)) (/ (* r (* r (* w w))) (+ v -1)))
(+ 3/8 (* v -1/4))
(* v -1/4)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(* 1/8 (- 3 (* 2 v)))
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
(+ 3 (/ 2 (* r r)))
(* r (* w w))
(* r (* r (* w w)))
(/ (* r (* r (* w w))) (+ v -1))
(* (* w w) r)
(* (* (* w w) r) r)
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
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 (*.f64 w w) (*.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 #s(literal 1 binary64) v) (*.f64 (*.f64 w w) (*.f64 r r))))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 w w) (*.f64 r r))))) #s(literal -9/2 binary64)))
(+.f64 #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 w w) (*.f64 r r)))) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(+.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 w w) (*.f64 r r)))))
(+.f64 #s(literal 3 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 v #s(literal -1 binary64)) (*.f64 (*.f64 w w) (*.f64 r r)))) #s(literal -9/2 binary64))))
(+.f64 (-.f64 #s(literal 3 binary64) (/.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 v #s(literal -1 binary64)) (*.f64 (*.f64 w w) (*.f64 r r)))) #s(literal -9/2 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (*.f64 w w) (*.f64 r r)))))) #s(literal -9/2 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 w w) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
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(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 w w) (*.f64 r r)) (neg.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 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))) (*.f64 (*.f64 w w) (-.f64 #s(literal 0 binary64) r))) (/.f64 r (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 r (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 r (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) w)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)) (*.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w) (*.f64 (*.f64 r w) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r w)) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 r (*.f64 r w)) (*.f64 w (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) w) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r r)) (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w))))
(*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 w w) (*.f64 r r)))
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 w w) (*.f64 r r)))) #s(literal 1/8 binary64))
(*.f64 (/.f64 r #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 r (*.f64 w w)))))
(*.f64 (/.f64 (*.f64 w w) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r r)) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 w w) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 r r) #s(literal -1 binary64)) (/.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 r (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) w)) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 w w) (*.f64 r r)) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 r (*.f64 w w)) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w))) #s(literal -1 binary64)) (/.f64 r (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 w w)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 r (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) w)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) #s(literal -1 binary64)) (/.f64 (*.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)) #s(literal -1 binary64)) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 w w) (-.f64 #s(literal 0 binary64) (*.f64 r r))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (+.f64 #s(literal -3/8 binary64) (neg.f64 (*.f64 v #s(literal -1/4 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 w w) (*.f64 r r)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w w) (-.f64 #s(literal 0 binary64) r))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w w) (*.f64 r r))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (neg.f64 (+.f64 #s(literal -3/8 binary64) (neg.f64 (*.f64 v #s(literal -1/4 binary64))))) (/.f64 (*.f64 (*.f64 w w) (*.f64 r r)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) w) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.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 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 w w)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r r)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 r r)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) #s(literal 1/8 binary64)) (*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 w w)))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 r (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) w)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w)))) r)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 r (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r w)) w))) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r)) (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w))) (*.f64 r r))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r r))) (*.f64 w w))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 w w)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w w))))) r)

simplify294.0ms (1.9%)

Algorithm
egg-herbie
Rules
3290×*-lowering-*.f32
3290×*-lowering-*.f64
2678×+-lowering-+.f64
2678×+-lowering-+.f32
1448×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03546848
113295234
256585220
081705220
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
(- (+ (* -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 (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)))))
(- (* 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)))))
(* -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))
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(+ (* 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))))
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(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
Outputs
(- (+ (* -3/8 (* (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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(- (+ (* -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 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) (+.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v #s(literal -1/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 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 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal -1/8 binary64)))) (+.f64 (*.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))))
(- (+ (* -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 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) (+.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(- (+ (* -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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal 3/8 binary64)))) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (/.f64 (*.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 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 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v))) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) 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 2 binary64) (*.f64 r r)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (/.f64 (*.f64 w w) (*.f64 v (*.f64 v v))))))) (-.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 #s(literal 3/2 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (/.f64 (*.f64 w 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 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(- (+ (* -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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal 3/8 binary64)))) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (/.f64 (*.f64 w w) 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)
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v)))) v) #s(literal -3/2 binary64)))
(- (+ (* -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 (+.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 w w) (/.f64 (*.f64 w w) v)))) v)) v) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #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 (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.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 (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.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 (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.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 v #s(literal -1/4 binary64)))) (+.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 (*.f64 w w) (+.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 r r))) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))))
(* (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 (*.f64 w w) (+.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 r r))) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.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 v #s(literal -1/4 binary64)))) (+.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 (*.f64 w w) (+.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 r r))) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))))
(* (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 (*.f64 w w) (+.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 r r))) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.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 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.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 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.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 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.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 (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.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 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.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 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.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 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* -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))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))
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eval174.0ms (1.2%)

Compiler

Compiled 27867 to 2215 computations (92.1% saved)

prune543.0ms (3.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New97313986
Fresh000
Picked202
Done000
Total97513988
Accuracy
100.0%
Counts
988 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 w w) (*.f64 r r))))))
41.2%
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
42.7%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
45.3%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
77.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
55.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
88.5%
(+.f64 (*.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 w w)))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
96.6%
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
96.5%
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
99.1%
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
70.1%
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
77.3%
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
79.3%
(+.f64 (*.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)))
Compiler

Compiled 562 to 396 computations (29.5% saved)

simplify922.0ms (6.1%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 v #s(literal -1/4 binary64))
cost-diff0
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
cost-diff0
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64))))
cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
cost-diff0
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
cost-diff0
(*.f64 v #s(literal -1/4 binary64))
cost-diff0
(*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64))))
cost-diff0
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
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 (*.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)))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(*.f64 v #s(literal -1/4 binary64))
cost-diff0
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
cost-diff0
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r)))
cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Rules
2584×+-lowering-+.f64
2584×+-lowering-+.f32
2442×*-lowering-*.f32
2442×*-lowering-*.f64
2406×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035321
199301
2308288
31067288
42485288
53219288
64995288
76853288
08015288
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (+ 3/8 (* v -1/4)) (* (* r w) (* (/ w (+ v -1)) r))) (+ (/ 2 (* r r)) -3/2))
(* (+ 3/8 (* v -1/4)) (* (* r w) (* (/ w (+ v -1)) r)))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(* (* r w) (* (/ w (+ v -1)) r))
(* r w)
r
w
(* (/ w (+ v -1)) r)
(/ w (+ v -1))
(+ v -1)
-1
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
-3/2
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* r r) (* (* w w) -3/8)) (+ (/ 2 (* r r)) -3/2))
(* (* r r) (* (* w w) -3/8))
(* r r)
r
(* (* w w) -3/8)
(* w w)
w
-3/8
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
-3/2
(+ (* (* v -1/4) (/ (* r (* r (* w w))) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(* (* v -1/4) (/ (* r (* r (* w w))) (+ v -1)))
(* v -1/4)
v
-1/4
(/ (* r (* r (* w w))) (+ v -1))
(* r (* r (* w w)))
r
(* r (* w w))
(* w w)
w
(+ v -1)
-1
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
-3/2
(+ (* (+ 3/8 (* v -1/4)) (/ (* (* r (* r w)) w) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(* (+ 3/8 (* v -1/4)) (/ (* (* r (* r w)) w) (+ v -1)))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(/ (* (* r (* r w)) w) (+ v -1))
(* (* r (* r w)) w)
(* r (* r w))
r
(* r w)
w
(+ v -1)
-1
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
-3/2
Outputs
(+ (* (+ 3/8 (* v -1/4)) (* (* r w) (* (/ w (+ v -1)) r))) (+ (/ 2 (* r r)) -3/2))
(+.f64 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(* (+ 3/8 (* v -1/4)) (* (* r w) (* (/ w (+ v -1)) r)))
(*.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))))
(+ 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)) r))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(* r w)
(*.f64 r w)
r
w
(* (/ w (+ v -1)) r)
(/.f64 (*.f64 r w) (+.f64 v #s(literal -1 binary64)))
(/ w (+ v -1))
(/.f64 w (+.f64 v #s(literal -1 binary64)))
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
-3/2
#s(literal -3/2 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (* (* r r) (* (* w w) -3/8)) (+ (/ 2 (* r r)) -3/2))
(+.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)))))
(* (* r r) (* (* w w) -3/8))
(*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)))
(* r r)
(*.f64 r r)
r
(* (* 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)
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
-3/2
#s(literal -3/2 binary64)
(+ (* (* v -1/4) (/ (* r (* r (* w w))) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 v (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))))) (+.f64 v #s(literal -1 binary64)))))
(* (* v -1/4) (/ (* r (* r (* w w))) (+ v -1)))
(/.f64 (*.f64 v (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))))) (+.f64 v #s(literal -1 binary64)))
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(/ (* r (* r (* w w))) (+ v -1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(* r (* r (* w w)))
(*.f64 r (*.f64 r (*.f64 w w)))
r
(* r (* w w))
(*.f64 r (*.f64 w w))
(* w w)
(*.f64 w w)
w
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
-3/2
#s(literal -3/2 binary64)
(+ (* (+ 3/8 (* v -1/4)) (/ (* (* r (* r w)) w) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(+.f64 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(* (+ 3/8 (* v -1/4)) (/ (* (* r (* r w)) w) (+ v -1)))
(*.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))))
(+ 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 (* r w)) w) (+ v -1))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(* (* r (* r w)) w)
(*.f64 r (*.f64 r (*.f64 w w)))
(* r (* r w))
(*.f64 r (*.f64 r w))
r
(* r w)
(*.f64 r w)
w
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
-3/2
#s(literal -3/2 binary64)

localize286.0ms (1.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy95.2%
(/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64)))
accuracy94.8%
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64))))
accuracy93.8%
(*.f64 (*.f64 r (*.f64 r w)) w)
accuracy95.2%
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
accuracy93.0%
(*.f64 r (*.f64 r (*.f64 w w)))
accuracy90.9%
(*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64))))
accuracy90.5%
(*.f64 r (*.f64 w w))
accuracy100.0%
(*.f64 r r)
accuracy99.8%
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
accuracy99.3%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy76.9%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
accuracy100.0%
(*.f64 r r)
accuracy99.3%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.7%
(*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))
accuracy99.3%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.4%
(*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r)
accuracy94.8%
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r)))
Results
188.0ms256×0valid
Compiler

Compiled 364 to 36 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 30.0ms (62.3% of total)
ival-add: 10.0ms (20.8% of total)
ival-div: 7.0ms (14.5% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.2%)

Counts
20 → 540
Calls
Call 1
Inputs
#<alt (+ (* (+ 3/8 (* v -1/4)) (* (* r w) (* (/ w (+ v -1)) r))) (+ (/ 2 (* r r)) -3/2))>
#<alt (* (+ 3/8 (* v -1/4)) (* (* r w) (* (/ w (+ v -1)) r)))>
#<alt (+ 3/8 (* v -1/4))>
#<alt (* v -1/4)>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ (* (* r r) (* (* w w) -3/8)) (+ (/ 2 (* r r)) -3/2))>
#<alt (* (* r r) (* (* w w) -3/8))>
#<alt (* (* w w) -3/8)>
#<alt (+ (* (* v -1/4) (/ (* r (* r (* w w))) (+ v -1))) (+ (/ 2 (* r r)) -3/2))>
#<alt (* (* v -1/4) (/ (* r (* r (* w w))) (+ v -1)))>
#<alt (/ (* r (* r (* w w))) (+ v -1))>
#<alt (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r (* r w)) w) (+ v -1))) (+ (/ 2 (* r r)) -3/2))>
#<alt (* (+ 3/8 (* v -1/4)) (/ (* (* r (* r w)) w) (+ v -1)))>
#<alt (* (/ w (+ v -1)) r)>
#<alt (* (* r w) (* (/ w (+ v -1)) r))>
#<alt (* r (* w w))>
#<alt (* r (* r (* w w)))>
#<alt (* (* r (* r w)) w)>
#<alt (/ (* (* r (* r w)) w) (+ v -1))>
Outputs
#<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 (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)))))>
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#<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))>
Calls

135 calls:

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

rewrite397.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
4438×/-lowering-/.f32
4438×/-lowering-/.f64
3812×*-lowering-*.f32
3812×*-lowering-*.f64
1290×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035198
1127185
2572172
34285172
08700172
Stop Event
iter limit
node limit
Counts
20 → 1120
Calls
Call 1
Inputs
(+ (* (+ 3/8 (* v -1/4)) (* (* r w) (* (/ w (+ v -1)) r))) (+ (/ 2 (* r r)) -3/2))
(* (+ 3/8 (* v -1/4)) (* (* r w) (* (/ w (+ v -1)) r)))
(+ 3/8 (* v -1/4))
(* v -1/4)
(/ 2 (* r r))
(* r r)
(+ (* (* r r) (* (* w w) -3/8)) (+ (/ 2 (* r r)) -3/2))
(* (* r r) (* (* w w) -3/8))
(* (* w w) -3/8)
(+ (* (* v -1/4) (/ (* r (* r (* w w))) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(* (* v -1/4) (/ (* r (* r (* w w))) (+ v -1)))
(/ (* r (* r (* w w))) (+ v -1))
(+ (* (+ 3/8 (* v -1/4)) (/ (* (* r (* r w)) w) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(* (+ 3/8 (* v -1/4)) (/ (* (* r (* r w)) w) (+ v -1)))
(* (/ w (+ v -1)) r)
(* (* r w) (* (/ w (+ v -1)) r))
(* r (* w w))
(* r (* r (* w w)))
(* (* r (* r w)) w)
(/ (* (* r (* r w)) w) (+ v -1))
Outputs
(+.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 w (*.f64 r w))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.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 w (*.f64 r w))))) #s(literal -3/2 binary64)))
(+.f64 #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 r (*.f64 w (*.f64 r w))))) (/.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 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))
(+.f64 (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))))) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 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 r (*.f64 w (*.f64 r w))))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))))))
(+.f64 (+.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 w (*.f64 r w))))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64)))) (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))
(-.f64 (+.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 w (*.f64 r w))))) #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 w) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 r (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 r w)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r w) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (*.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w)) (+.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 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 r (*.f64 w (*.f64 r w))))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 (*.f64 r w) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 r w)) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (+.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 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 r (*.f64 w (*.f64 r w))))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.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 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 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 r (*.f64 w (*.f64 r w))))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w)) (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w))) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)) (+.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 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (*.f64 w (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 r w)))) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 r w))) (/.f64 w (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))) (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w (*.f64 r w)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3/8 binary64)))
(-.f64 (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (*.f64 v #s(literal -1/4 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))) (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) r) r) w) (/.f64 w (-.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 v #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 r w) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))) (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))
(fma.f64 v (/.f64 (*.f64 #s(literal -1/4 binary64) r) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 r w)))) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v (*.f64 r (*.f64 w (*.f64 r w)))) (+.f64 v #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r w) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 r (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 r w)))) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 v #s(literal -1/4 binary64)) (+.f64 v #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 r w) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))) #s(literal 3/8 binary64) (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))
(fma.f64 (/.f64 (*.f64 r w) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))) (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 (*.f64 r (*.f64 r w)) (/.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) r) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 w (*.f64 r w)))) v (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) r) (*.f64 w (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w))) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) r) r) w) (/.f64 w (+.f64 v #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 v (*.f64 r (*.f64 w (*.f64 r w)))) (+.f64 v #s(literal -1 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 3/8 binary64)) (+.f64 v #s(literal -1 binary64))))
(neg.f64 (*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))
(neg.f64 (*.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))))
(neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 r (*.f64 r w))) (/.f64 w (-.f64 #s(literal 1 binary64) v))))
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(*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r w))) #s(literal -1 binary64)))
(*.f64 (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (*.f64 r w))
(*.f64 (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (/.f64 r (/.f64 #s(literal 1 binary64) w)))
(*.f64 (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) w) r) #s(literal -1 binary64)))
(*.f64 (*.f64 r r) (/.f64 w (/.f64 (+.f64 v #s(literal -1 binary64)) w)))
(*.f64 (*.f64 w w) (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64))))
(*.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 (+.f64 v #s(literal -1 binary64))) r))
(*.f64 (*.f64 w w) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 w (*.f64 r w)) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (*.f64 r w) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))) #s(literal 1 binary64))
(*.f64 (*.f64 r (*.f64 r w)) (/.f64 w (+.f64 v #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (-.f64 #s(literal 0 binary64) w) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (*.f64 r (*.f64 r w))))
(*.f64 (-.f64 #s(literal 0 binary64) w) (*.f64 (*.f64 r (*.f64 r w)) (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) w) (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r w) (/.f64 (+.f64 v #s(literal -1 binary64)) (*.f64 r w))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 r (*.f64 w (*.f64 r w))))
(*.f64 (*.f64 w (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w))) r)
(*.f64 (*.f64 w (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 (*.f64 w (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 w (*.f64 r w))) (*.f64 r (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 w (*.f64 r w))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 w (*.f64 r w)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r w))) (/.f64 w (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 w (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (*.f64 r r))
(*.f64 (/.f64 (*.f64 r r) (/.f64 (+.f64 v #s(literal -1 binary64)) w)) w)
(*.f64 (/.f64 (*.f64 r r) (/.f64 (+.f64 v #s(literal -1 binary64)) w)) (/.f64 w #s(literal 1 binary64)))
(*.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (*.f64 w (*.f64 r w)))
(*.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (/.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) w)))
(*.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 w (*.f64 r w))) #s(literal -1 binary64)))
(*.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) w) (*.f64 r w)) #s(literal -1 binary64)))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (*.f64 w (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 w #s(literal -1 binary64)) (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64))) (*.f64 w w))
(*.f64 (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64))) (/.f64 w (/.f64 #s(literal 1 binary64) w)))
(*.f64 (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) w) w) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r r) (+.f64 v #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 w w)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 w (*.f64 r w)) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (*.f64 r (*.f64 r w)) #s(literal -1 binary64)) (/.f64 w (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 w #s(literal 1 binary64)) (/.f64 (*.f64 r r) (/.f64 (+.f64 v #s(literal -1 binary64)) w)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (*.f64 w (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 w (*.f64 r w))) (/.f64 r (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (/.f64 (+.f64 v #s(literal -1 binary64)) w))) w)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 r r)) (*.f64 w w))
(*.f64 (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 0 binary64) w))
(*.f64 (/.f64 (*.f64 r (*.f64 r w)) #s(literal 1 binary64)) (/.f64 w (+.f64 v #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 r r)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 w w))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (*.f64 w (/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) w))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 w (*.f64 r w))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 w (*.f64 r w))) #s(literal -1 binary64)) (/.f64 r (+.f64 v #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) w) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r w))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r w))) #s(literal -1 binary64)) (/.f64 w (+.f64 v #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 w (*.f64 r w))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (*.f64 r w))) #s(literal -1 binary64)) (/.f64 w (-.f64 #s(literal 1 binary64) v)))

simplify384.0ms (2.5%)

Algorithm
egg-herbie
Rules
3204×+-lowering-+.f64
3204×+-lowering-+.f32
2622×*-lowering-*.f32
2622×*-lowering-*.f64
2110×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03088793
110576639
240546577
084826577
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(- (+ (* -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 (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)))))
(- (* 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)))))
(* -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))
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(* -1/4 v)
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -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))
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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))
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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))
(/ (* (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 w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
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(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(* -1 (* r w))
(+ (* -1 (* r w)) (* -1 (* r (* v w))))
(+ (* -1 (* r w)) (* v (- (* -1 (* r (* v w))) (* r w))))
(+ (* -1 (* r w)) (* v (- (* v (- (* -1 (* r (* v w))) (* r w))) (* r w))))
(/ (* r w) v)
(/ (+ (* r w) (/ (* r w) v)) v)
(/ (- (+ (* r w) (/ (* r w) (pow v 2))) (* -1 (/ (* r w) v))) v)
(/ (- (+ (* r w) (/ (* r w) (pow v 3))) (+ (* -1 (/ (* r w) v)) (* -1 (/ (* r w) (pow v 2))))) v)
(/ (* r w) v)
(* -1 (/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v))
(* -1 (/ (+ (* -1 (* r w)) (* -1 (/ (+ (* r w) (/ (* r w) v)) v))) v))
(* -1 (/ (+ (* -1 (* r w)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v)) (* r w)) v))) v))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- v 1))
(/ (* r w) (- 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))
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(/ (* (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))
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(/ (* (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))
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(/ (* (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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(+ (* -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))
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(* r (pow w 2))
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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))
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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))
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(* (pow r 2) (pow w 2))
(* (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))
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(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
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(* (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))
Outputs
(- (+ (* -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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(- (+ (* -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 (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) #s(literal -3/2 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 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (+.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 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 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (+.f64 (*.f64 v (+.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
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(- (+ (* -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 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal 3/8 binary64)))) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal 1/4 binary64))))))
(- (+ (* -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))))))
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(- (+ (* -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 2 binary64) (*.f64 r r)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (/.f64 (*.f64 w w) (*.f64 v (*.f64 v v))))))) (-.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r r) (+.f64 (/.f64 (*.f64 w w) v) (/.f64 (*.f64 w w) (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (*.f64 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))) #s(literal -3/2 binary64)))
(- (+ (* -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 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal 3/8 binary64)))) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal 1/4 binary64))))))
(- (+ (* -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 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) v)) v)) #s(literal -3/2 binary64))
(- (+ (* -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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) v)) v)) v))
(/ 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 v #s(literal -1/4 binary64))))) (+.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))
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(/ (* (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 v #s(literal -1/4 binary64))))) (+.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)))))
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(* (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 w) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.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 w) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.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))
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(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (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)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(*.f64 r (*.f64 r (*.f64 w (/.f64 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 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 v (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) (+.f64 (*.f64 w w) (*.f64 (*.f64 w w) v)))) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 r (*.f64 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 r (*.f64 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 (*.f64 w w) (*.f64 v (*.f64 v v))) (*.f64 w w)))) 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 r (*.f64 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 r (*.f64 r (*.f64 w w))) (/.f64 (+.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 (*.f64 r r) (+.f64 (*.f64 w w) (/.f64 (*.f64 w w) v))) v)) v)) v)

eval404.0ms (2.7%)

Compiler

Compiled 52952 to 3003 computations (94.3% saved)

prune235.0ms (1.6%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New2102142116
Fresh448
Picked325
Done000
Total2109202129
Accuracy
100.0%
Counts
2129 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
26.6%
(/.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (*.f64 r r)) (+.f64 v #s(literal -1 binary64)))
41.2%
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
42.7%
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
42.7%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
45.3%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
91.3%
(-.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
77.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
55.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
80.5%
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
99.1%
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
83.8%
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
84.9%
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
79.2%
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
93.8%
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
91.3%
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
92.4%
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
42.6%
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
45.9%
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
38.1%
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
Compiler

Compiled 672 to 468 computations (30.4% saved)

simplify184.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 r (*.f64 w w))
cost-diff0
(*.f64 r (*.f64 r (*.f64 w w)))
cost-diff0
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
cost-diff0
(*.f64 r (*.f64 r w))
cost-diff0
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w)))
cost-diff0
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w)
cost-diff0
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) r)
cost-diff0
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
cost-diff128
(/.f64 r (/.f64 #s(literal 1 binary64) r))
cost-diff0
(/.f64 #s(literal 2 binary64) r)
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff0
(*.f64 w (*.f64 r #s(literal -3/8 binary64)))
cost-diff0
(*.f64 r w)
cost-diff0
(*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))
cost-diff0
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Rules
3140×*-lowering-*.f32
3140×*-lowering-*.f64
2186×fma-define
1678×/-lowering-/.f32
1678×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035178
188169
2234162
3696162
41652162
52471162
63395162
74398162
85200162
95473162
106379162
08132162
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* r w) (* w (* r -3/8))) (+ (/ 2 (* r r)) -3/2))
(* (* r w) (* w (* r -3/8)))
(* r w)
r
w
(* w (* r -3/8))
(* r -3/8)
-3/8
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
-3/2
(/ (/ 2 r) r)
(/ 2 r)
2
r
(/ 2 (/ r (/ 1 r)))
2
(/ r (/ 1 r))
r
(/ 1 r)
1
(+ (* (* -3/8 (* r (* r w))) w) (+ (/ 2 (* r r)) -3/2))
(* (* -3/8 (* r (* r w))) w)
(* -3/8 (* r (* r w)))
-3/8
(* r (* r w))
r
(* r w)
w
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
-3/2
(/ (* (* r (* r (* w w))) (+ 3/8 (* v -1/4))) (+ v -1))
(* (* r (* r (* w w))) (+ 3/8 (* v -1/4)))
(* r (* r (* w w)))
r
(* r (* w w))
(* w w)
w
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(+ v -1)
-1
Outputs
(+ (* (* r w) (* w (* r -3/8))) (+ (/ 2 (* r r)) -3/2))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
(* (* r w) (* w (* r -3/8)))
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
(* r w)
(*.f64 r w)
r
w
(* w (* r -3/8))
(*.f64 (*.f64 r w) #s(literal -3/8 binary64))
(* r -3/8)
(*.f64 r #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
-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
(/ 2 (/ r (/ 1 r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(/ r (/ 1 r))
(*.f64 r r)
r
(/ 1 r)
(/.f64 #s(literal 1 binary64) r)
1
#s(literal 1 binary64)
(+ (* (* -3/8 (* r (* r w))) w) (+ (/ 2 (* r r)) -3/2))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
(* (* -3/8 (* r (* r w))) w)
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
(* -3/8 (* r (* r w)))
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w)))
-3/8
#s(literal -3/8 binary64)
(* r (* r w))
(*.f64 r (*.f64 r w))
r
(* r w)
(*.f64 r w)
w
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
-3/2
#s(literal -3/2 binary64)
(/ (* (* r (* r (* w w))) (+ 3/8 (* v -1/4))) (+ v -1))
(*.f64 r (*.f64 r (*.f64 w (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 w (+.f64 v #s(literal -1 binary64)))))))
(* (* r (* r (* w w))) (+ 3/8 (* v -1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
(* r (* r (* w w)))
(*.f64 r (*.f64 r (*.f64 w w)))
r
(* r (* w w))
(*.f64 r (*.f64 w w))
(* w w)
(*.f64 w w)
w
(+ 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)
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize181.0ms (1.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy95.9%
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
accuracy95.3%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
accuracy93.0%
(*.f64 r (*.f64 r (*.f64 w w)))
accuracy90.5%
(*.f64 r (*.f64 w w))
accuracy99.8%
(*.f64 r (*.f64 r w))
accuracy99.8%
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w)))
accuracy99.3%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy93.9%
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w)
accuracy100.0%
(/.f64 #s(literal 1 binary64) r)
accuracy99.7%
(/.f64 r (/.f64 #s(literal 1 binary64) r))
accuracy99.3%
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) r)
accuracy99.7%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy100.0%
(*.f64 r #s(literal -3/8 binary64))
accuracy99.8%
(*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))
accuracy99.6%
(*.f64 w (*.f64 r #s(literal -3/8 binary64)))
accuracy99.3%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
Results
138.0ms256×0valid
Compiler

Compiled 212 to 36 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 20.0ms (51.7% of total)
ival-div: 12.0ms (31% of total)
ival-add: 6.0ms (15.5% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.1%)

Counts
19 → 396
Calls
Call 1
Inputs
#<alt (+ (* (* r w) (* w (* r -3/8))) (+ (/ 2 (* r r)) -3/2))>
#<alt (* (* r w) (* w (* r -3/8)))>
#<alt (* r w)>
#<alt (* w (* r -3/8))>
#<alt (/ (/ 2 r) r)>
#<alt (/ 2 r)>
#<alt (/ r (/ 1 r))>
#<alt (/ 2 (/ r (/ 1 r)))>
#<alt (/ 1 r)>
#<alt (+ (* (* -3/8 (* r (* r w))) w) (+ (/ 2 (* r r)) -3/2))>
#<alt (* (* -3/8 (* r (* r w))) w)>
#<alt (* -3/8 (* r (* r w)))>
#<alt (* r (* r w))>
#<alt (/ (* (* r (* r (* w w))) (+ 3/8 (* v -1/4))) (+ v -1))>
#<alt (* (* r (* r (* w w))) (+ 3/8 (* v -1/4)))>
#<alt (* r (* r (* w w)))>
#<alt (* r (* w w))>
#<alt (/ 2 (* r r))>
#<alt (* r -3/8)>
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 (* -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 (* 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 (* 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 (/ 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 (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (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) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* (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 (/ (* (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 (* -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))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (/ 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 (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
Calls

99 calls:

TimeVariablePointExpression
8.0ms
v
@-inf
(* (* r (* r (* w w))) (+ 3/8 (* v -1/4)))
0.0ms
w
@0
(* -3/8 (* r (* r w)))
0.0ms
r
@inf
(* (* r (* r (* w w))) (+ 3/8 (* v -1/4)))
0.0ms
w
@inf
(* (* r (* r (* w w))) (+ 3/8 (* v -1/4)))
0.0ms
w
@inf
(* -3/8 (* r (* r w)))

rewrite292.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
4190×/-lowering-/.f32
4190×/-lowering-/.f64
3974×*-lowering-*.f32
3974×*-lowering-*.f64
1244×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035123
1131113
2533106
32580106
08116106
Stop Event
iter limit
node limit
Counts
19 → 1217
Calls
Call 1
Inputs
(+ (* (* r w) (* w (* r -3/8))) (+ (/ 2 (* r r)) -3/2))
(* (* r w) (* w (* r -3/8)))
(* r w)
(* w (* r -3/8))
(/ (/ 2 r) r)
(/ 2 r)
(/ r (/ 1 r))
(/ 2 (/ r (/ 1 r)))
(/ 1 r)
(+ (* (* -3/8 (* r (* r w))) w) (+ (/ 2 (* r r)) -3/2))
(* (* -3/8 (* r (* r w))) w)
(* -3/8 (* r (* r w)))
(* r (* r w))
(/ (* (* r (* r (* w w))) (+ 3/8 (* v -1/4))) (+ v -1))
(* (* r (* r (* w w))) (+ 3/8 (* v -1/4)))
(* r (* r (* w w)))
(* r (* w w))
(/ 2 (* r r))
(* r -3/8)
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(+.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))))
(+.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(+.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(-.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 r (neg.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 r (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 w (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r (*.f64 w w)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 (*.f64 r r) (neg.f64 (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.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))))
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w #s(literal -3/8 binary64)) w) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 1 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 #s(literal 1 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal -3/8 binary64)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w (-.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 r (*.f64 w w)))) #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w w) (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 w w)) (neg.f64 (*.f64 r #s(literal 3/8 binary64))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r (*.f64 r w)) (neg.f64 w)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 #s(literal -1 binary64) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -2 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal -1 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.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))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) r) #s(literal 2 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) r (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) r) #s(literal -2 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 (*.f64 (*.f64 r (*.f64 r w)) (neg.f64 w)) #s(literal 3/8 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r)) #s(literal -1 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(fma.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r #s(literal 3/8 binary64)) (neg.f64 (*.f64 r (*.f64 w w))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 r r) #s(literal 3/8 binary64)) (neg.f64 (*.f64 w w)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w #s(literal -3/8 binary64)) (*.f64 r (*.f64 r w)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 r #s(literal -3/8 binary64))) (*.f64 w w) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (neg.f64 (*.f64 r (*.f64 w w))) (*.f64 r #s(literal 3/8 binary64)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (neg.f64 (*.f64 r #s(literal 3/8 binary64))) (*.f64 r (*.f64 w w)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (neg.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) r (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (*.f64 r r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal 1 binary64)) r (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 w #s(literal -3/8 binary64)) w) (*.f64 r r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(-.f64 #s(literal 0 binary64) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
(neg.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 0 binary64) r))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))))
(/.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) #s(literal 1 binary64))
(/.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (-.f64 #s(literal 0 binary64) r))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))) (/.f64 #s(literal 1 binary64) r))
(*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))))
(*.f64 r (neg.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
(*.f64 r (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))))
(*.f64 w (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -3/8 binary64))))
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 r (*.f64 w #s(literal -3/8 binary64))) (*.f64 r w))
(*.f64 (*.f64 r r) (neg.f64 (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w #s(literal -3/8 binary64)) w))
(*.f64 #s(literal 1 binary64) (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))))
(*.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal -3/8 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) r) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r #s(literal 3/8 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) r) #s(literal -3/8 binary64)) #s(literal -1 binary64))

simplify258.0ms (1.7%)

Algorithm
egg-herbie
Rules
5124×*-lowering-*.f32
5124×*-lowering-*.f64
1630×+-lowering-+.f64
1630×+-lowering-+.f32
1502×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01263664
14072877
215192812
377302629
081332629
Stop Event
iter limit
node limit
Counts
396 → 396
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)))))
(* -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)))
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* -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))
(/ 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)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (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) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(/ (* (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))
(* -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))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(/ 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))
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
(* -3/8 r)
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 r (*.f64 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 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))))) (*.f64 r r))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
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(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* 3/8 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 r (*.f64 r (*.f64 v (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 r (*.f64 r (*.f64 v (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* (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)))
(* 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))
(/ 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))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))
(* -3/8 r)
(*.f64 r #s(literal -3/8 binary64))

eval217.0ms (1.4%)

Compiler

Compiled 34888 to 3476 computations (90% saved)

prune233.0ms (1.5%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New172281730
Fresh4913
Picked235
Done022
Total1728221750
Accuracy
100.0%
Counts
1750 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
33.4%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r))) r) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 r (/.f64 #s(literal 2 binary64) r))))
42.7%
(/.f64 (*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
42.7%
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
42.7%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
45.3%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
77.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
55.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
99.1%
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
84.9%
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
79.2%
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
91.3%
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
92.4%
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
43.4%
(*.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (*.f64 w (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))))
42.6%
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
46.2%
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)) (*.f64 r w))
30.8%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))
45.5%
(*.f64 (*.f64 r w) (*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
45.9%
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
38.1%
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
39.2%
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
39.5%
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
Compiler

Compiled 658 to 450 computations (31.6% saved)

simplify131.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 r w) w)
cost-diff0
(*.f64 r (*.f64 (*.f64 r w) w))
cost-diff0
(*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
cost-diff0
(/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
cost-diff0
(*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64))))
cost-diff0
(*.f64 r w)
cost-diff0
(*.f64 (*.f64 r w) (*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
cost-diff0
(*.f64 w w)
cost-diff0
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
cost-diff0
(*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
cost-diff0
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) r)
cost-diff0
(/.f64 #s(literal 2 binary64) r)
cost-diff128
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
cost-diff0
(*.f64 w (*.f64 r w))
cost-diff0
(*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w)))
cost-diff0
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r)
cost-diff0
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Rules
2336×*-lowering-*.f32
2336×*-lowering-*.f64
1300×fma-define
1212×fma-lowering-fma.f32
1212×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036211
1103197
2289190
3812190
41400190
51723190
62697190
73507190
83809190
93871190
103871190
113877190
123877190
133877190
03877190
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (* -3/8 (* w (* r w))) r) (+ (/ 2 (* r r)) -3/2))
(* (* -3/8 (* w (* r w))) r)
(* -3/8 (* w (* r w)))
-3/8
(* w (* r w))
w
(* r w)
r
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
-3/2
(* (/ 2 r) (/ 1 r))
(/ 2 r)
2
r
(/ 1 r)
1
(* r (* r (* (* w w) -1/4)))
r
(* r (* (* w w) -1/4))
(* (* w w) -1/4)
(* w w)
w
-1/4
(* (* r w) (* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1))))
(* r w)
r
w
(* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1)))
(/ (* r (+ 3/8 (* v -1/4))) (+ v -1))
(* r (+ 3/8 (* v -1/4)))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(+ v -1)
-1
(/ (* (* r (* (* r w) w)) (+ 3/8 (* v -1/4))) (+ v -1))
(* (* r (* (* r w) w)) (+ 3/8 (* v -1/4)))
(* r (* (* r w) w))
r
(* (* r w) w)
(* r w)
w
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(+ v -1)
-1
Outputs
(+ (* (* -3/8 (* w (* r w))) r) (+ (/ 2 (* r r)) -3/2))
(+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w (*.f64 w r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(* (* -3/8 (* w (* r w))) r)
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w (*.f64 w r))))
(* -3/8 (* w (* r w)))
(*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 w r)))
-3/8
#s(literal -3/8 binary64)
(* w (* r w))
(*.f64 w (*.f64 w r))
w
(* r w)
(*.f64 w r)
r
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
-3/2
#s(literal -3/2 binary64)
(* (/ 2 r) (/ 1 r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
2
#s(literal 2 binary64)
r
(/ 1 r)
(/.f64 #s(literal 1 binary64) r)
1
#s(literal 1 binary64)
(* r (* r (* (* w w) -1/4)))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
r
(* r (* (* w w) -1/4))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(* (* w w) -1/4)
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* w w)
(*.f64 w w)
w
-1/4
#s(literal -1/4 binary64)
(* (* r w) (* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1))))
(/.f64 (*.f64 w (*.f64 r (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))) (+.f64 v #s(literal -1 binary64)))
(* r w)
(*.f64 w r)
r
w
(* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1)))
(/.f64 (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* r (+ 3/8 (* v -1/4))) (+ v -1))
(/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64)))
(* r (+ 3/8 (* v -1/4)))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 #s(literal -1/4 binary64) v)
v
-1/4
#s(literal -1/4 binary64)
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ (* (* r (* (* r w) w)) (+ 3/8 (* v -1/4))) (+ v -1))
(/.f64 (*.f64 w (*.f64 r (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))) (+.f64 v #s(literal -1 binary64)))
(* (* r (* (* r w) w)) (+ 3/8 (* v -1/4)))
(*.f64 w (*.f64 r (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))))
(* r (* (* r w) w))
(*.f64 r (*.f64 w (*.f64 w r)))
r
(* (* r w) w)
(*.f64 w (*.f64 w r))
(* r w)
(*.f64 w r)
w
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 #s(literal -1/4 binary64) v)
v
-1/4
#s(literal -1/4 binary64)
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize239.0ms (1.6%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (*.f64 r w) w)
accuracy95.9%
(/.f64 (*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
accuracy95.3%
(*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
accuracy93.0%
(*.f64 r (*.f64 (*.f64 r w) w))
accuracy99.9%
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
accuracy99.9%
(*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64))))
accuracy99.7%
(*.f64 (*.f64 r w) (*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
accuracy89.1%
(/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
accuracy100.0%
(*.f64 w w)
accuracy100.0%
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
accuracy93.0%
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
accuracy90.5%
(*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) r)
accuracy100.0%
(/.f64 #s(literal 1 binary64) r)
accuracy99.5%
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
accuracy99.8%
(*.f64 w (*.f64 r w))
accuracy99.7%
(*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w)))
accuracy99.3%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy93.1%
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r)
Results
115.0ms222×0valid
22.0ms16×2valid
19.0ms18×1valid
Compiler

Compiled 238 to 37 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 35.0ms (61.4% of total)
ival-div: 10.0ms (17.5% of total)
ival-add: 6.0ms (10.5% of total)
backward-pass: 4.0ms (7% of total)
const: 1.0ms (1.8% of total)

series27.0ms (0.2%)

Counts
21 → 480
Calls
Call 1
Inputs
#<alt (+ (* (* -3/8 (* w (* r w))) r) (+ (/ 2 (* r r)) -3/2))>
#<alt (* (* -3/8 (* w (* r w))) r)>
#<alt (* -3/8 (* w (* r w)))>
#<alt (* w (* r w))>
#<alt (* (/ 2 r) (/ 1 r))>
#<alt (/ 2 r)>
#<alt (/ 1 r)>
#<alt (* r (* r (* (* w w) -1/4)))>
#<alt (* r (* (* w w) -1/4))>
#<alt (* (* w w) -1/4)>
#<alt (* w w)>
#<alt (* (* r w) (* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1))))>
#<alt (* r w)>
#<alt (* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1)))>
#<alt (/ (* r (+ 3/8 (* v -1/4))) (+ v -1))>
#<alt (/ (* (* r (* (* r w) w)) (+ 3/8 (* v -1/4))) (+ v -1))>
#<alt (* (* r (* (* r w) w)) (+ 3/8 (* v -1/4)))>
#<alt (* r (* (* r w) w))>
#<alt (* (* r w) w)>
#<alt (/ 2 (* r r))>
#<alt (* r (+ 3/8 (* v -1/4)))>
Outputs
#<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 (* -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 (* -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 (* 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 (* 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 (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (pow w 2))>
#<alt (* -1/4 (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 (/ (* (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 (* -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 (* 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 (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* -3/8 (* r w))>
#<alt (+ (* -3/8 (* r w)) (* v (- (* 1/4 (* r w)) (* 3/8 (* r w)))))>
#<alt (+ (* -3/8 (* r w)) (* v (- (+ (* 1/4 (* r w)) (* v (- (* 1/4 (* r w)) (* 3/8 (* r w))))) (* 3/8 (* r w)))))>
#<alt (+ (* -3/8 (* r w)) (* v (- (+ (* 1/4 (* r w)) (* v (- (* v (- (* 1/4 (* r w)) (* 3/8 (* r w)))) (* -1 (- (* 1/4 (* r w)) (* 3/8 (* r w))))))) (* 3/8 (* r w)))))>
#<alt (* -1/4 (* r w))>
#<alt (- (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))) (* 1/4 (/ (* r w) v)))>
#<alt (- (+ (* -1/4 (* r w)) (+ (* 3/8 (/ (* r w) v)) (* 3/8 (/ (* r w) (pow v 2))))) (+ (* 1/4 (/ (* r w) v)) (* 1/4 (/ (* r w) (pow v 2)))))>
#<alt (- (+ (* -1/4 (* r w)) (+ (* 3/8 (/ (* r w) v)) (* 3/8 (/ (* r w) (pow v 3))))) (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) (pow v 2))) (+ (* 1/4 (/ (* r w) v)) (* 1/4 (/ (* r w) (pow v 3))))))>
#<alt (* -1/4 (* r w))>
#<alt (- (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))) (* 1/4 (/ (* r w) v)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* r w)) (* 1/4 (* r w)))) (* 1/4 (/ (* r w) v))) (* 3/8 (/ (* r w) v))) v)) (* -1/4 (* r w)))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* r w)) (* 1/4 (* r w)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* r w)) (* 3/8 (* r w)))) (* 3/8 (/ (* r w) v))) (* 1/4 (/ (* r w) v))) v))) v)) (* -1/4 (* r w)))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (/ (* r (+ 3/8 (* -1/4 v))) (- v 1))>
#<alt (* -3/8 r)>
#<alt (+ (* -3/8 r) (* v (- (* 1/4 r) (* 3/8 r))))>
#<alt (+ (* -3/8 r) (* v (- (+ (* 1/4 r) (* v (- (* 1/4 r) (* 3/8 r)))) (* 3/8 r))))>
#<alt (+ (* -3/8 r) (* v (- (+ (* 1/4 r) (* v (- (* v (- (* 1/4 r) (* 3/8 r))) (* -1 (- (* 1/4 r) (* 3/8 r)))))) (* 3/8 r))))>
#<alt (* -1/4 r)>
#<alt (- (+ (* -1/4 r) (* 3/8 (/ r v))) (* 1/4 (/ r v)))>
#<alt (- (+ (* -1/4 r) (+ (* 3/8 (/ r v)) (* 3/8 (/ r (pow v 2))))) (+ (* 1/4 (/ r v)) (* 1/4 (/ r (pow v 2)))))>
#<alt (- (+ (* -1/4 r) (+ (* 3/8 (/ r v)) (* 3/8 (/ r (pow v 3))))) (+ (* -1 (/ (- (* 3/8 r) (* 1/4 r)) (pow v 2))) (+ (* 1/4 (/ r v)) (* 1/4 (/ r (pow v 3))))))>
#<alt (* -1/4 r)>
#<alt (- (+ (* -1/4 r) (* 3/8 (/ r v))) (* 1/4 (/ r v)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 r) (* 1/4 r))) (* 1/4 (/ r v))) (* 3/8 (/ r v))) v)) (* -1/4 r))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* 3/8 r) (* 1/4 r))) (* -1 (/ (- (+ (* -1 (- (* 1/4 r) (* 3/8 r))) (* 3/8 (/ r v))) (* 1/4 (/ r v))) v))) v)) (* -1/4 r))>
#<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 (* -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))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (/ 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 (* 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 (* 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))))>
Calls

120 calls:

TimeVariablePointExpression
1.0ms
r
@0
(* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1)))
1.0ms
w
@0
(* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1)))
1.0ms
w
@-inf
(+ (* (* -3/8 (* w (* r w))) r) (+ (/ 2 (* r r)) -3/2))
1.0ms
r
@0
(/ (* r (+ 3/8 (* v -1/4))) (+ v -1))
0.0ms
v
@0
(* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1)))

rewrite550.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
3724×*-lowering-*.f32
3724×*-lowering-*.f64
3188×/-lowering-/.f32
3188×/-lowering-/.f64
1018×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036152
1135140
2578133
32953133
08356133
Stop Event
iter limit
node limit
Counts
21 → 1025
Calls
Call 1
Inputs
(+ (* (* -3/8 (* w (* r w))) r) (+ (/ 2 (* r r)) -3/2))
(* (* -3/8 (* w (* r w))) r)
(* -3/8 (* w (* r w)))
(* w (* r w))
(* (/ 2 r) (/ 1 r))
(/ 2 r)
(/ 1 r)
(* r (* r (* (* w w) -1/4)))
(* r (* (* w w) -1/4))
(* (* w w) -1/4)
(* w w)
(* (* r w) (* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1))))
(* r w)
(* w (/ (* r (+ 3/8 (* v -1/4))) (+ v -1)))
(/ (* r (+ 3/8 (* v -1/4))) (+ v -1))
(/ (* (* r (* (* r w) w)) (+ 3/8 (* v -1/4))) (+ v -1))
(* (* r (* (* r w) w)) (+ 3/8 (* v -1/4)))
(* r (* (* r w) w))
(* (* r w) w)
(/ 2 (* r r))
(* r (+ 3/8 (* v -1/4)))
Outputs
(+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
(+.f64 #s(literal -3/2 binary64) (+.f64 (*.f64 #s(literal -3/8 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)) #s(literal -3/2 binary64)) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
(+.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(+.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #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 w (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r)))))
(-.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 w (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 w (*.f64 (*.f64 w r) (*.f64 #s(literal -3/8 binary64) r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.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)))
(fma.f64 r (-.f64 #s(literal 0 binary64) (*.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)))
(fma.f64 (*.f64 w r) (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
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(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) v) (/.f64 #s(literal 1 binary64) r)) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 r r)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 #s(literal -3/8 binary64) r))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (+.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) v)) (/.f64 #s(literal 1 binary64) r)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (+.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) v)) (*.f64 #s(literal 1 binary64) (*.f64 r #s(literal 3/8 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) v)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) r))) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 r v) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) r)) #s(literal -3/8 binary64)) (/.f64 #s(literal -1 binary64) r))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 r v) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -3/8 binary64) r)) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 r #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (+.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) r)) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 #s(literal -1/4 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 r r)))
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 r (*.f64 #s(literal -1/4 binary64) v)))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (+.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 r v) #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (+.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 r (*.f64 #s(literal -1/4 binary64) v)))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) r) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 r v) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 r #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) r)) (*.f64 #s(literal -1/4 binary64) v)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) (/.f64 #s(literal 1 binary64) r)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) v))) (/.f64 #s(literal -1 binary64) r))
(pow.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) #s(literal -1 binary64))
(*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(*.f64 #s(literal 1 binary64) (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) r)
(*.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))
(*.f64 (-.f64 #s(literal 0 binary64) r) (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(*.f64 (*.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)) (-.f64 #s(literal 0 binary64) r))

simplify318.0ms (2.1%)

Algorithm
egg-herbie
Rules
3386×*-lowering-*.f32
3386×*-lowering-*.f64
1818×fma-lowering-fma.f32
1818×fma-lowering-fma.f64
1658×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02485213
18804041
233484025
081694025
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(- (* 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 (* -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)))))
(* -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 (* 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)))
(* 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))
(/ 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)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (pow w 2))
(* -1/4 (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)
(/ (* (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))
(* -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))))
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* r (* w (+ 3/8 (* -1/4 v)))) (- v 1))
(* -3/8 (* r w))
(+ (* -3/8 (* r w)) (* v (- (* 1/4 (* r w)) (* 3/8 (* r w)))))
(+ (* -3/8 (* r w)) (* v (- (+ (* 1/4 (* r w)) (* v (- (* 1/4 (* r w)) (* 3/8 (* r w))))) (* 3/8 (* r w)))))
(+ (* -3/8 (* r w)) (* v (- (+ (* 1/4 (* r w)) (* v (- (* v (- (* 1/4 (* r w)) (* 3/8 (* r w)))) (* -1 (- (* 1/4 (* r w)) (* 3/8 (* r w))))))) (* 3/8 (* r w)))))
(* -1/4 (* r w))
(- (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))) (* 1/4 (/ (* r w) v)))
(- (+ (* -1/4 (* r w)) (+ (* 3/8 (/ (* r w) v)) (* 3/8 (/ (* r w) (pow v 2))))) (+ (* 1/4 (/ (* r w) v)) (* 1/4 (/ (* r w) (pow v 2)))))
(- (+ (* -1/4 (* r w)) (+ (* 3/8 (/ (* r w) v)) (* 3/8 (/ (* r w) (pow v 3))))) (+ (* -1 (/ (- (* 3/8 (* r w)) (* 1/4 (* r w))) (pow v 2))) (+ (* 1/4 (/ (* r w) v)) (* 1/4 (/ (* r w) (pow v 3))))))
(* -1/4 (* r w))
(- (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))) (* 1/4 (/ (* r w) v)))
(+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* r w)) (* 1/4 (* r w)))) (* 1/4 (/ (* r w) v))) (* 3/8 (/ (* r w) v))) v)) (* -1/4 (* r w)))
(+ (* -1 (/ (+ (* -1 (- (* 3/8 (* r w)) (* 1/4 (* r w)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* r w)) (* 3/8 (* r w)))) (* 3/8 (/ (* r w) v))) (* 1/4 (/ (* r w) v))) v))) v)) (* -1/4 (* r w)))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(/ (* r (+ 3/8 (* -1/4 v))) (- v 1))
(* -3/8 r)
(+ (* -3/8 r) (* v (- (* 1/4 r) (* 3/8 r))))
(+ (* -3/8 r) (* v (- (+ (* 1/4 r) (* v (- (* 1/4 r) (* 3/8 r)))) (* 3/8 r))))
(+ (* -3/8 r) (* v (- (+ (* 1/4 r) (* v (- (* v (- (* 1/4 r) (* 3/8 r))) (* -1 (- (* 1/4 r) (* 3/8 r)))))) (* 3/8 r))))
(* -1/4 r)
(- (+ (* -1/4 r) (* 3/8 (/ r v))) (* 1/4 (/ r v)))
(- (+ (* -1/4 r) (+ (* 3/8 (/ r v)) (* 3/8 (/ r (pow v 2))))) (+ (* 1/4 (/ r v)) (* 1/4 (/ r (pow v 2)))))
(- (+ (* -1/4 r) (+ (* 3/8 (/ r v)) (* 3/8 (/ r (pow v 3))))) (+ (* -1 (/ (- (* 3/8 r) (* 1/4 r)) (pow v 2))) (+ (* 1/4 (/ r v)) (* 1/4 (/ r (pow v 3))))))
(* -1/4 r)
(- (+ (* -1/4 r) (* 3/8 (/ r v))) (* 1/4 (/ r v)))
(+ (* -1 (/ (- (+ (* -1 (- (* 3/8 r) (* 1/4 r))) (* 1/4 (/ r v))) (* 3/8 (/ r v))) v)) (* -1/4 r))
(+ (* -1 (/ (+ (* -1 (- (* 3/8 r) (* 1/4 r))) (* -1 (/ (- (+ (* -1 (- (* 1/4 r) (* 3/8 r))) (* 3/8 (/ r v))) (* 1/4 (/ r v))) v))) v)) (* -1/4 r))
(/ (* (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))
(* -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))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(/ 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))
(* 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)))
(* 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))))
Outputs
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (+.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))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (+.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))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (+.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))))
(* -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 (*.f64 r r) #s(literal -3/8 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.f64 #s(literal -3/2 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 (*.f64 r r) #s(literal -3/8 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.f64 #s(literal -3/2 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 (*.f64 r r) #s(literal -3/8 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.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)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 (*.f64 w w) (+.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.f64 #s(literal -3/2 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 (*.f64 r r) #s(literal -3/8 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.f64 #s(literal -3/2 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 (*.f64 r r) #s(literal -3/8 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 binary64))) 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 (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) #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 (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) #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)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (+.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) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (+.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)))
(*.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 #s(literal -3/8 binary64) (*.f64 w w)) (+.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) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (+.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)))
(*.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)))
(*.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 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(* -3/8 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
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(*.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))
(/ 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))
(* 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)))
(* 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 #s(literal -1/4 binary64) (*.f64 r 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 #s(literal -1/4 binary64) (*.f64 r 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)))

eval199.0ms (1.3%)

Compiler

Compiled 28240 to 2688 computations (90.5% saved)

prune223.0ms (1.5%)

Pruning

27 alts after pruning (19 fresh and 8 done)

PrunedKeptTotal
New158091589
Fresh21012
Picked145
Done145
Total1584271611
Accuracy
100.0%
Counts
1611 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
33.4%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r))) r) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 r (/.f64 #s(literal 2 binary64) r))))
42.7%
(/.f64 (*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
40.0%
(/.f64 (*.f64 w (*.f64 r (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) r))
42.7%
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
42.7%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
45.3%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
77.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
55.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
99.1%
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
84.9%
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
79.2%
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
91.3%
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
42.6%
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
41.0%
(*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
30.8%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))
45.0%
(*.f64 (*.f64 r w) (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
32.9%
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 1/8 binary64)) v))))
29.8%
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r (*.f64 #s(literal -1/8 binary64) v)))))
40.6%
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
45.9%
(*.f64 (*.f64 r r) (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
38.1%
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
39.0%
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
39.2%
(*.f64 r (/.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) r)))
39.2%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
39.2%
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
39.5%
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
Compiler

Compiled 1164 to 474 computations (59.3% saved)

regimes81.0ms (0.5%)

Counts
46 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
(*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
(*.f64 r (/.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 w (*.f64 r (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 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 w (+.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r (*.f64 #s(literal -1/8 binary64) v)))))
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 1/8 binary64)) v))))
(/.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (*.f64 r r)) (+.f64 v #s(literal -1 binary64)))
(*.f64 (*.f64 r w) (*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 r w) (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)) (*.f64 r w))
(*.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (*.f64 w (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.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)))
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(-.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r))) r) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 r (/.f64 #s(literal 2 binary64) r))))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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 r (*.f64 w w)))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 w w) (*.f64 r r))))))
Outputs
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Calls

6 calls:

14.0ms
w
14.0ms
r
14.0ms
(*.f64 w w)
13.0ms
v
12.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
99.1%1v
99.1%1w
99.1%1r
99.1%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))
99.1%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)))
99.1%1(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes51.0ms (0.3%)

Counts
39 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
(*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
(*.f64 r (/.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 w (*.f64 r (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 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 w (+.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r (*.f64 #s(literal -1/8 binary64) v)))))
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 1/8 binary64)) v))))
(/.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (*.f64 r r)) (+.f64 v #s(literal -1 binary64)))
(*.f64 (*.f64 r w) (*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 r w) (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)) (*.f64 r w))
(*.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (*.f64 w (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.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)))
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(-.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r))) r) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 r (/.f64 #s(literal 2 binary64) r))))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Outputs
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Calls

4 calls:

12.0ms
w
12.0ms
r
11.0ms
v
10.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
99.2%3v
93.8%1w
93.8%1r
93.8%1(*.f64 w w)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.1%)

Counts
38 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
(*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
(*.f64 r (/.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 w (*.f64 r (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 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 w (+.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r (*.f64 #s(literal -1/8 binary64) v)))))
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 1/8 binary64)) v))))
(/.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (*.f64 r r)) (+.f64 v #s(literal -1 binary64)))
(*.f64 (*.f64 r w) (*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 r w) (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)) (*.f64 r w))
(*.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (*.f64 w (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.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)))
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(-.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r))) r) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 r (/.f64 #s(literal 2 binary64) r))))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Outputs
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Calls

1 calls:

11.0ms
v
Results
AccuracySegmentsBranch
98.4%3v
Compiler

Compiled 4 to 3 computations (25% saved)

regimes59.0ms (0.4%)

Counts
34 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
(*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
(*.f64 r (/.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 w (*.f64 r (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 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 w (+.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r (*.f64 #s(literal -1/8 binary64) v)))))
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 1/8 binary64)) v))))
(/.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (*.f64 r r)) (+.f64 v #s(literal -1 binary64)))
(*.f64 (*.f64 r w) (*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 r w) (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)) (*.f64 r w))
(*.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (*.f64 w (*.f64 w (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 r w))) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.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)))
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(-.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r))) r) (*.f64 (-.f64 #s(literal 0 binary64) r) (/.f64 r (/.f64 #s(literal 2 binary64) r))))
(+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Outputs
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Calls

4 calls:

24.0ms
(*.f64 w w)
10.0ms
w
10.0ms
r
10.0ms
v
Results
AccuracySegmentsBranch
93.8%1w
93.8%1r
93.8%1(*.f64 w w)
93.8%1v
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes35.0ms (0.2%)

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

4 calls:

9.0ms
w
8.0ms
v
8.0ms
r
7.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
92.4%1v
92.4%1w
95.2%2r
92.4%1(*.f64 w w)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes41.0ms (0.3%)

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

4 calls:

16.0ms
w
9.0ms
r
7.0ms
v
7.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
62.1%4v
71.1%2w
71.1%2(*.f64 w w)
87.6%3r
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
(*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
(*.f64 r (/.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 w (*.f64 r (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 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 w (+.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r (*.f64 #s(literal -1/8 binary64) v)))))
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 1/8 binary64)) v))))
(/.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (*.f64 r r)) (+.f64 v #s(literal -1 binary64)))
(*.f64 (*.f64 r w) (*.f64 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
(*.f64 (*.f64 r w) (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 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 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))
Calls

1 calls:

7.0ms
r
Results
AccuracySegmentsBranch
86.8%3r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
(*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
(*.f64 r (/.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 w (*.f64 r (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 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 w (+.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r (*.f64 #s(literal -1/8 binary64) v)))))
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (*.f64 r #s(literal -1/4 binary64)) (/.f64 (*.f64 r #s(literal 1/8 binary64)) v))))
(/.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (*.f64 r r)) (+.f64 v #s(literal -1 binary64)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 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 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
Calls

1 calls:

7.0ms
r
Results
AccuracySegmentsBranch
85.8%3r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
(*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
(*.f64 r (/.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 w (*.f64 r (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))
Calls

1 calls:

5.0ms
r
Results
AccuracySegmentsBranch
77.7%2r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w)))
Calls

1 calls:

4.0ms
r
Results
AccuracySegmentsBranch
77.0%2r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 w r) (*.f64 r #s(literal -1/4 binary64))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
Calls

1 calls:

5.0ms
r
Results
AccuracySegmentsBranch
76.9%2r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))
Calls

1 calls:

3.0ms
r
Results
AccuracySegmentsBranch
76.1%2r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
Calls

3 calls:

3.0ms
r
3.0ms
w
3.0ms
v
Results
AccuracySegmentsBranch
55.2%1v
55.2%1w
55.2%1r
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

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

3 calls:

2.0ms
w
2.0ms
v
2.0ms
r
Results
AccuracySegmentsBranch
42.7%1v
42.7%1w
42.7%1r
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch53.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
29.0ms
3.134487513951954e-24
9.739560234798613e-6
18.0ms
-65.96103910229857
-5.377201122763486e-6
Results
37.0ms256×0valid
Compiler

Compiled 806 to 555 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 11.0ms (41.6% of total)
ival-sub: 10.0ms (37.8% of total)
ival-div: 4.0ms (15.1% of total)
ival-add: 1.0ms (3.8% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch103.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
3.134487513951954e-24
9.739560234798613e-6
58.0ms
-65.96103910229857
-5.377201122763486e-6
Results
81.0ms304×0valid
Compiler

Compiled 950 to 673 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-sub: 35.0ms (55.2% of total)
ival-mult: 22.0ms (34.7% of total)
ival-div: 4.0ms (6.3% of total)
ival-add: 2.0ms (3.2% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
9.277760840127703e+221
1.6908094522048737e+222
Results
8.0ms64×0valid
Compiler

Compiled 206 to 143 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (56.5% of total)
ival-div: 1.0ms (18.8% of total)
ival-sub: 1.0ms (18.8% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch77.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
49.0ms
3.3654812511995958e+140
6.985948514791974e+143
22.0ms
4.385059886660309e-6
8.654280348399224e-5
Results
63.0ms240×0valid
Compiler

Compiled 568 to 382 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 24.0ms (69.9% of total)
ival-sub: 5.0ms (14.6% of total)
ival-div: 3.0ms (8.7% of total)
ival-add: 1.0ms (2.9% of total)
const: 1.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
3.3654812511995958e+140
6.985948514791974e+143
20.0ms
4.385059886660309e-6
8.654280348399224e-5
Results
34.0ms240×0valid
Compiler

Compiled 568 to 390 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 12.0ms (54.6% of total)
ival-sub: 5.0ms (22.7% of total)
ival-div: 3.0ms (13.6% of total)
ival-add: 1.0ms (4.5% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch58.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
5.98215527878821e+146
7.465253753317475e+152
28.0ms
4.385059886660309e-6
8.654280348399224e-5
Results
34.0ms256×0valid
Compiler

Compiled 536 to 363 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 12.0ms (52.3% of total)
ival-sub: 5.0ms (21.8% of total)
ival-div: 3.0ms (13.1% of total)
ival-add: 1.0ms (4.4% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
5.319856588918982e+81
2.9362039652780877e+82
Results
16.0ms96×0valid
Compiler

Compiled 182 to 135 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 6.0ms (51.2% of total)
ival-mult: 4.0ms (34.2% of total)
ival-div: 1.0ms (8.5% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
5.319856588918982e+81
2.9362039652780877e+82
Results
19.0ms96×0valid
Compiler

Compiled 182 to 135 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 11.0ms (75.4% of total)
ival-sub: 2.0ms (13.7% of total)
ival-div: 1.0ms (6.9% of total)
ival-add: 1.0ms (6.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
5.319856588918982e+81
2.9362039652780877e+82
Results
23.0ms96×0valid
Compiler

Compiled 182 to 135 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 13.0ms (69% of total)
ival-mult: 4.0ms (21.2% of total)
ival-div: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5.319856588918982e+81
2.9362039652780877e+82
Results
13.0ms96×0valid
Compiler

Compiled 182 to 135 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.9% of total)
ival-sub: 3.0ms (33% of total)
ival-div: 1.0ms (11% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
64×*-commutative_binary64
18×+-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102403
1148403
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(if (<=.f64 v #s(literal -2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (if (<=.f64 v #s(literal 700976274800963/73786976294838206464 binary64)) (+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 v #s(literal -3602879701896397/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (if (<=.f64 v #s(literal 700976274800963/73786976294838206464 binary64)) (+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 1250000000000000058252258968525871960506357262436721076776225572523353476653857874465959640267744640401292470744981862331646577082508622614200777621865804300734287659209145277374359007368819047908074669714450303480443699200 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)) (*.f64 r w)))
(if (<=.f64 r #s(literal 2582544170319337/36893488147419103232 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (if (<=.f64 r #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)) (*.f64 r w))))
(if (<=.f64 r #s(literal 1438846037749345/18446744073709551616 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (if (<=.f64 r #s(literal 270000000000000015075859530963344882682881965960880763856701407490390903384094244014099546510922561414843430741573012894811755810256483990372352 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 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))))
(if (<=.f64 r #s(literal 5460236245818027/73786976294838206464 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (if (<=.f64 r #s(literal 739999999999999992359889686264119211968023081374476716070234205699896625564133944028214311796584962388118981020842334072882298381489820323504111059206144 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 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))))
(if (<=.f64 r #s(literal 7000000000000000080846909281003599381056688845436880876040559972156116564875149312 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64)))))
(if (<=.f64 r #s(literal 5399999999999999869796568108555349560622195059196803292680257531802057913592184832 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w))))
(if (<=.f64 r #s(literal 8200000000000000239134665160339786746382559185116939063560786802421660553337372672 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
(if (<=.f64 r #s(literal 5500000000000000304236381106062111966071461655518537417220658036520631596541280256 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
Outputs
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (*.f64 r (/.f64 w (+.f64 v #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(if (<=.f64 v #s(literal -2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (if (<=.f64 v #s(literal 700976274800963/73786976294838206464 binary64)) (+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 v #s(literal -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 r w) (/.f64 (*.f64 r w) v)))) (if (<=.f64 v #s(literal 700976274800963/73786976294838206464 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 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 r w) (/.f64 (*.f64 r w) v))))))
(if (<=.f64 v #s(literal -3602879701896397/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (if (<=.f64 v #s(literal 700976274800963/73786976294838206464 binary64)) (+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (+.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 v #s(literal -3602879701896397/1125899906842624 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 r (/.f64 w (+.f64 v #s(literal -1 binary64))))))) (if (<=.f64 v #s(literal 700976274800963/73786976294838206464 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) (*.f64 r (/.f64 w (+.f64 v #s(literal -1 binary64)))))))))
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))))
(if (<=.f64 r #s(literal 1250000000000000058252258968525871960506357262436721076776225572523353476653857874465959640267744640401292470744981862331646577082508622614200777621865804300734287659209145277374359007368819047908074669714450303480443699200 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)) (*.f64 r w)))
(if (<=.f64 r #s(literal 1250000000000000058252258968525871960506357262436721076776225572523353476653857874465959640267744640401292470744981862331646577082508622614200777621865804300734287659209145277374359007368819047908074669714450303480443699200 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 r w))))) (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))))))
(if (<=.f64 r #s(literal 2582544170319337/36893488147419103232 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (if (<=.f64 r #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))) (*.f64 r w)) (*.f64 r w))))
(if (<=.f64 r #s(literal 2582544170319337/36893488147419103232 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (if (<=.f64 r #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 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 (*.f64 r w) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64)))))))
(if (<=.f64 r #s(literal 1438846037749345/18446744073709551616 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (if (<=.f64 r #s(literal 270000000000000015075859530963344882682881965960880763856701407490390903384094244014099546510922561414843430741573012894811755810256483990372352 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 w (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64)))))))
(if (<=.f64 r #s(literal 1438846037749345/18446744073709551616 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (if (<=.f64 r #s(literal 270000000000000015075859530963344882682881965960880763856701407490390903384094244014099546510922561414843430741573012894811755810256483990372352 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 w (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (+.f64 v #s(literal -1 binary64)))))))
(if (<=.f64 r #s(literal 5460236245818027/73786976294838206464 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (if (<=.f64 r #s(literal 739999999999999992359889686264119211968023081374476716070234205699896625564133944028214311796584962388118981020842334072882298381489820323504111059206144 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 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64))))))
(if (<=.f64 r #s(literal 5460236245818027/73786976294838206464 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (if (<=.f64 r #s(literal 739999999999999992359889686264119211968023081374476716070234205699896625564133944028214311796584962388118981020842334072882298381489820323504111059206144 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 #s(literal -1/4 binary64) w)))))
(if (<=.f64 r #s(literal 7000000000000000080846909281003599381056688845436880876040559972156116564875149312 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 w r) (*.f64 r (*.f64 w #s(literal -1/4 binary64)))))
(if (<=.f64 r #s(literal 7000000000000000080846909281003599381056688845436880876040559972156116564875149312 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -1/4 binary64) w))))
(if (<=.f64 r #s(literal 5399999999999999869796568108555349560622195059196803292680257531802057913592184832 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r w) (*.f64 r (*.f64 #s(literal -3/8 binary64) w))))
(if (<=.f64 r #s(literal 5399999999999999869796568108555349560622195059196803292680257531802057913592184832 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 8200000000000000239134665160339786746382559185116939063560786802421660553337372672 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
(if (<=.f64 r #s(literal 8200000000000000239134665160339786746382559185116939063560786802421660553337372672 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))
(if (<=.f64 r #s(literal 5500000000000000304236381106062111966071461655518537417220658036520631596541280256 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))

soundness3.5s (23.5%)

Rules
5124×*-lowering-*.f32
5124×*-lowering-*.f64
4438×/-lowering-/.f32
4438×/-lowering-/.f64
4190×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035157
1115151
2603133
35770133
08304133
036152
1135140
2578133
32953133
08356133
035123
1131113
2533106
32580106
08116106
03088793
110576639
240546577
084826577
02226
16025
217721
377819
4465119
0821519
02485213
18804041
233484025
081694025
03546848
113295234
256585220
081705220
01263664
14072877
215192812
377302629
081332629
035198
1127185
2572172
34285172
08700172
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
iter limit
node limit
Compiler

Compiled 1373 to 762 computations (44.5% saved)

preprocess81.0ms (0.5%)

Remove

(abs r)

(abs w)

Compiler

Compiled 1852 to 582 computations (68.6% saved)

end0.0ms (0%)

Profiling

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