Metrics for Rosa's TurbineBenchmark

analyze223.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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: 119.0ms

ival-mult: 63.0ms (52.9% of total)

ival-sub: 37.0ms (31.1% of total)

ival-div: 10.0ms (8.4% of total)

ival-add: 5.0ms (4.2% of total)

const: 3.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

sample2.7s (19.7%)

Results

1.8s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-sub: 597.0ms (43.3% of total)

ival-mult: 536.0ms (38.9% of total)

ival-div: 118.0ms (8.6% of total)

ival-add: 97.0ms (7% of total)

const: 26.0ms (1.9% of total)

backward-pass: 3.0ms (0.2% of total)

Bogosity

preprocess284.0ms (2%)

Algorithm

2×	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)

Iter	Nodes	Cost
0	83	267
1	284	253
2	1080	223
3	3952	213
0	22	26
1	60	25
2	177	21
3	778	19
4	4665	19
0	8229	19

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)

Outputs

(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))

Call 2

Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2)
(- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2)
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2))
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2))
(neg (- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 w))) (* (* (* v v) r) r)) (- 1 w))) 9/2)
(- (- (+ 3 (/ 2 (* v v))) (/ (* (* 1/8 (- 3 (* 2 r))) (* (* (* w w) v) v)) (- 1 r))) 9/2)
(- (- (+ 3 (/ 2 (* w w))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r r) w) w)) (- 1 v))) 9/2)

Outputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(+ (fnmadd (square (* r w)) (* (fma v -2 3) (/ 1/8 (- 1 v))) (/ 2 (square r))) -3/2)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2)
(+ (fnmadd (square (* r w)) (* (fma 2 v 3) (/ 1/8 (+ v 1))) (/ 2 (square r))) -3/2)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2)
(+ (fnmadd (square (* r w)) (* (fma v -2 3) (/ 1/8 (- 1 v))) (/ 2 (square r))) -3/2)
(- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2)
(+ (fnmadd (square (* r w)) (* (fma v -2 3) (/ 1/8 (- 1 v))) (/ 2 (square r))) -3/2)
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2))
(- (/ -2 (square r)) (+ -3/2 (* (square (* r w)) (/ (* 1/8 (fma 2 v 3)) (- -1 v)))))
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2))
(- (/ -2 (square r)) (+ -3/2 (* (fma v -2 3) (/ (* 1/8 (square (* r w))) (+ v -1)))))
(neg (- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2))
(- (/ -2 (square r)) (+ -3/2 (* (fma v -2 3) (/ (* 1/8 (square (* r w))) (+ v -1)))))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 w))) (* (* (* v v) r) r)) (- 1 w))) 9/2)
(+ (fnmadd (square (* r v)) (/ (* 1/8 (fma w -2 3)) (- 1 w)) (/ 2 (square r))) -3/2)
(- (- (+ 3 (/ 2 (* v v))) (/ (* (* 1/8 (- 3 (* 2 r))) (* (* (* w w) v) v)) (- 1 r))) 9/2)
(sum3 (/ 2 (square v)) (* (* (fma r -2 3) (square (* v w))) (/ 1/8 (+ r -1))) -3/2)
(- (- (+ 3 (/ 2 (* w w))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r r) w) w)) (- 1 v))) 9/2)
(+ (fnmadd (fma v -2 3) (/ (* 1/8 (square (* r w))) (- 1 v)) (/ 2 (square w))) -3/2)

Symmetry

(abs w)

(abs r)

explain282.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
32	0	-	2	(-3.93664448711788e-114 4.105841536822685e-156 3.640438071613589e+276)	`(.f64 (.f64 w w) r)`
12	0	-	1	(6.154009369060124e+227 2.3544244156525232e-278 8.499874310087365e+240)	`(.f64 (.f64 (*.f64 w w) r) r)`
12	0	-	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))`
10	1	(-1.7156180630603075e+180 4.094392966742453e-5 9.355549072622232e-248)	2	(5.826426144023666e+144 9.86401725291477e+73 1.0645610436536133e-231)	`(.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))`
4	1	(3.986126360892919e+176 4.4762505781265006e-49 3.0460771601513855e+161)	0	-	`(/.f64 #s(literal 2 binary64) (*.f64 r r))`
0	0	-	0	-	`r`
0	0	-	0	-	`w`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) v)`
0	0	-	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)))`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) v)`
0	0	-	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))`
0	0	-	0	-	`(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))`
0	0	-	0	-	`(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))`
0	0	-	0	-	`(*.f64 r r)`
0	0	-	0	-	`(*.f64 w w)`
0	0	-	0	-	`(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))`
0	0	-	0	-	`v`
0	0	-	0	-	`#s(literal 1/8 binary64)`
0	0	-	0	-	`#s(literal 9/2 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`

Results

187.0ms

512×

valid

Compiler

Compiled 332 to 68 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 23.0ms (48.6% of total)

ival-sub: 12.0ms (25.3% of total)

ival-div: 7.0ms (14.8% of total)

ival-add: 3.0ms (6.3% of total)

const: 2.0ms (4.2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 28 to 20 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 r (.f64 w (.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))

Status

Accuracy

Program

▶

97.9%

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify199.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 r (.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64))
✓	cost-diff	(*.f64 r r)
✓	cost-diff	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 r (.f64 w (.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))

Rules

4902×	`fma-define`
2484×	`fma-lowering-fma.f32`
2484×	`fma-lowering-fma.f64`
2198×	`-lowering-.f32`
2198×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	109
1	41	90
2	93	89
3	356	89
4	1305	89
5	2761	89
6	3227	89
7	3952	89
8	4722	89
9	5076	89
10	5260	89
11	6440	89
12	6440	89
13	6548	89
14	6670	89
15	6670	89
16	6670	89
17	7464	89
18	7822	89
19	7840	89
0	7840	89

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)
(* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(/ (* r (* w (* r w))) (+ v -1))
(* r (* w (* r w)))
(* w (* r w))
w
(* r w)
(+ v -1)
-1
-3/2

Outputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
(+.f64 (/.f64 (.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w w))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)
(+.f64 (/.f64 (.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (*.f64 w w))) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64))
(* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))
(/.f64 (.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(/ (* r (* w (* r w))) (+ v -1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(* r (* w (* r w)))
(.f64 r (.f64 r (*.f64 w w)))
(* w (* r w))
(.f64 r (.f64 w w))
w
(* r w)
(*.f64 r w)
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
-3/2
#s(literal -3/2 binary64)

localize93.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	96.3%	(/.f64 (.f64 r (.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))
✓	accuracy	95.7%	(.f64 r (.f64 w (*.f64 r w)))
✓	accuracy	93.6%	(.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 r (.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64))))

Results

71.0ms

256×

valid

Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 17.0ms (52.7% of total)

ival-mult: 10.0ms (31% of total)

ival-div: 4.0ms (12.4% of total)

const: 1.0ms (3.1% of total)

backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts

7 → 192

Calls

Call 1

Inputs
#<alt (+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)>
#<alt (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))>
#<alt (* r (* w (* r w)))>
#<alt (/ (* r (* w (* r w))) (+ v -1))>

Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt -3/2>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (/ (* (pow r 2) (pow w 2)) (- v 1))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))))>
#<alt (+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))) (* (pow r 2) (pow w 2)))))>
#<alt (/ (* (pow r 2) (pow w 2)) v)>
#<alt (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)>
#<alt (/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)>
#<alt (/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3))) (+ (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)>
#<alt (/ (* (pow r 2) (pow w 2)) v)>
#<alt (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)) (* (pow r 2) (pow w 2))) v))) v))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	r	@	0	(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
2.0ms	w	@	0	(* r (* w (* r w)))
2.0ms	w	@	0	(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
1.0ms	r	@	inf	(/ (* r (* w (* r w))) (+ v -1))
1.0ms	v	@	0	(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))

rewrite348.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3824×	`/-lowering-/.f32`
3824×	`/-lowering-/.f64`
3478×	`-lowering-.f32`
3478×	`-lowering-.f64`
1658×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	82
1	111	64
2	1146	64
0	8340	64

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 403

Calls

Call 1

Inputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2))
(/ 2 (* r r))
(* r r)
(+ (* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1))) -3/2)
(* (+ 3/8 (* v -1/4)) (/ (* r (* w (* r w))) (+ v -1)))
(* r (* w (* r w)))
(/ (* r (* w (* r w))) (+ v -1))

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w 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 (.f64 r 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)) (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w))))) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal 3/2 binary64))) (neg.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal -3/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal -3/2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal 3/2 binary64)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w)))))
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(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal 3/2 binary64))) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal -3/2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal -3/2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal 3/2 binary64))))
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(.f64 (/.f64 (.f64 r (.f64 w (-.f64 #s(literal 0 binary64) (.f64 r w)))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (+.f64 v #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 r w)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 r (.f64 w (-.f64 #s(literal 0 binary64) (*.f64 r w)))))
(neg.f64 (.f64 r (.f64 w (-.f64 #s(literal 0 binary64) (*.f64 r w)))))
(pow.f64 (*.f64 r w) #s(literal 2 binary64))
(.f64 r (.f64 r (*.f64 w w)))
(.f64 r (neg.f64 (.f64 w (-.f64 #s(literal 0 binary64) (*.f64 r w)))))
(.f64 (.f64 r r) (*.f64 w w))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 w (.f64 (*.f64 r w) r))
(.f64 (.f64 r w) (*.f64 r w))
(.f64 (.f64 r w) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 r w))))
(.f64 (.f64 r (*.f64 w w)) r)
(.f64 (.f64 r (*.f64 w w)) (neg.f64 (-.f64 #s(literal 0 binary64) r)))
(.f64 (.f64 (.f64 r r) (.f64 w w)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 r (.f64 w (-.f64 #s(literal 0 binary64) (.f64 r w)))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 r r) (.f64 w w)))
(.f64 (-.f64 #s(literal 0 binary64) r) (.f64 w (-.f64 #s(literal 0 binary64) (*.f64 r w))))
(.f64 (.f64 w (-.f64 #s(literal 0 binary64) (*.f64 r w))) (-.f64 #s(literal 0 binary64) r))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 r w)) (-.f64 #s(literal 0 binary64) (*.f64 r w)))
(.f64 (.f64 r (*.f64 r w)) w)
(.f64 (.f64 (*.f64 r w) r) w)
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) r)) (.f64 r (*.f64 w w)))
(.f64 (neg.f64 (.f64 w (-.f64 #s(literal 0 binary64) (*.f64 r w)))) r)
(.f64 (pow.f64 (.f64 r w) #s(literal 1 binary64)) (pow.f64 (*.f64 r w) #s(literal 1 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 r w))) (*.f64 r w))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v)) (/.f64 (.f64 (.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(neg.f64 (/.f64 (.f64 (.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v))))
(/.f64 r (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w))))
(/.f64 (.f64 (.f64 r r) (*.f64 w w)) (+.f64 v #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w)))))
(/.f64 (.f64 r (.f64 w (-.f64 #s(literal 0 binary64) (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w))))))
(pow.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w))) #s(literal -1 binary64))
(.f64 r (/.f64 (.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64))))
(.f64 (.f64 r w) (/.f64 (*.f64 r w) (+.f64 v #s(literal -1 binary64))))
(.f64 (.f64 r (*.f64 w w)) (/.f64 r (+.f64 v #s(literal -1 binary64))))
(.f64 (.f64 (.f64 r r) (.f64 w w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w))))))
(.f64 (.f64 r (.f64 w (-.f64 #s(literal 0 binary64) (.f64 r w)))) (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (+.f64 v #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) (.f64 (.f64 r r) (.f64 w w)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 r r) (.f64 w w))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) r)
(.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 r r) (.f64 w w)) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 r r) (.f64 w w)) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 r r) (.f64 w w)) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 r r) (.f64 w w)) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (.f64 w (-.f64 #s(literal 0 binary64) (*.f64 r w))) (+.f64 v #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 r w) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r w)) (+.f64 v #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 r (*.f64 w w)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) r) (+.f64 v #s(literal -1 binary64))))
(.f64 (/.f64 r (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 r (.f64 w w)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 r (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 (.f64 r (.f64 w w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 r r) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 w w) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 r r) (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 (.f64 w w) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 w (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 r (.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 w (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 (.f64 r w) r) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 w (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 (.f64 r (.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 w (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 r w) r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 r w) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 r w) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 r w) (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 (.f64 r w) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 w w) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 w w) (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 (.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 r (.f64 r w)) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 r (.f64 r w)) (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 r w) r) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 r w) r) (+.f64 (.f64 v v) #s(literal -1 binary64))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) #s(literal -1 binary64)) (/.f64 (.f64 r (*.f64 w w)) (+.f64 v #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 w (-.f64 #s(literal 0 binary64) (*.f64 r w))) #s(literal -1 binary64)) (/.f64 r (+.f64 v #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 r w)) #s(literal -1 binary64)) (/.f64 (*.f64 r w) (+.f64 v #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w))) #s(literal -1/2 binary64)))

simplify210.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1930×	`-lowering-.f32`
1930×	`-lowering-.f64`
1806×	`fnmadd-define`
1752×	`sum3-define`
1536×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	3679
1	655	2634
2	2597	2425
0	8271	2425

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* -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))
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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))
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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))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(* -1 (* (pow r 2) (pow w 2)))
(+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))))
(+ (* -1 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1 (* (pow r 2) (* v (pow w 2)))) (* (pow r 2) (pow w 2)))) (* (pow r 2) (pow w 2)))))
(/ (* (pow r 2) (pow w 2)) v)
(/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (- (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3))) (+ (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)
(/ (* (pow r 2) (pow w 2)) v)
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v))
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))) v))
(* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)) (* (pow r 2) (pow w 2))) v))) v))

Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))) (.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))) (.f64 r r))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (/.f64 (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
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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)))))
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(- (+ (* -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)
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(- (+ (* -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)
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(- (* 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)) (* 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))))))
(+.f64 (+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (.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 (.f64 r (.f64 w w))) (/.f64 #s(literal 1/8 binary64) (.f64 v v))) (.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))))))))
(* -1/4 (* (pow r 2) (pow w 2)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(- (+ (* -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)))
(+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/8 binary64))) 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))))
(+.f64 (.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))
(+ (* -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))))
(+.f64 (.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 (.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))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(/ (* (pow r 2) (pow w 2)) (- v 1))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(* -1 (* (pow r 2) (pow w 2)))
(.f64 (.f64 r r) (-.f64 #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 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)
(/ (* (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)

eval78.0ms (0.6%)

Compiler: Compiled 30711 to 1746 computations (94.3% saved)

prune82.0ms (0.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	579	16	595
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	580	16	596

Accuracy

100.0%

Counts

596 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(/.f64 (+.f64 (.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (.f64 w w))))) #s(literal -9/4 binary64)) r) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal 3/2 binary64)) (/.f64 r #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w)))) #s(literal 3/2 binary64)) r))
	56.3%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
	33.6%	(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
▶	43.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	97.9%	(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 r (.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
	66.3%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
	88.3%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal -3/2 binary64) (.f64 (.f64 (.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
▶	86.0%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
▶	99.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 (.f64 r w) (.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
	99.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (/.f64 (.f64 r w) (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
▶	70.3%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (.f64 w w)))) #s(literal -3/2 binary64)))
	74.0%	(+.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 r (.f64 r (/.f64 (.f64 w w) v)))) #s(literal -3/2 binary64)))
▶	81.1%	(+.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)))
	81.2%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
	90.5%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 r (.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal -3/2 binary64)))
	60.0%	(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))

Compiler

Compiled 836 to 510 computations (39% saved)

simplify202.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))) #s(literal -3/2 binary64))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (*.f64 w w))))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (.f64 w w)))) #s(literal -3/2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.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)))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 (.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 (.f64 r w) (.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))

Rules

3188×	`-lowering-.f32`
3188×	`-lowering-.f64`
1632×	`fma-lowering-fma.f32`
1632×	`fma-lowering-fma.f64`
1604×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	312
1	102	293
2	289	291
3	1144	291
4	4113	290
5	7295	290
0	8360	290

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2)
(* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1)))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(/ (* (* r w) (* r w)) (+ v -1))
(* (* r w) (* r w))
(* r w)
w
(+ v -1)
-1
-3/2
(/ 2 (* r r))
2
(* r r)
r
(+ (/ 2 (* r r)) (+ (* (* r r) (* (* w w) -1/4)) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* r r) (* (* w w) -1/4)) -3/2)
(* (* r r) (* (* w w) -1/4))
(* (* w w) -1/4)
(* w w)
w
-1/4
-3/2
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2)
(* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w))))
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(* (* r r) (- 0 (* w w)))
(- 0 (* w w))
0
(* w w)
w
-3/2
(+ (/ 2 (* r r)) (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w)))) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w)))) -3/2)
(/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w))))
(* (+ 3/8 (* v -1/4)) r)
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(/ (+ v -1) (* r (* w w)))
(+ v -1)
-1
(* r (* w w))
(* w w)
w
-3/2

Outputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2))
(+.f64 (/.f64 (.f64 r (+.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2)
(+.f64 (/.f64 (.f64 r (+.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)))) #s(literal -3/2 binary64))
(* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1)))
(/.f64 (.f64 r (+.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))))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(/ (* (* r w) (* r w)) (+ v -1))
(/.f64 (*.f64 r w) (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w))
(* (* r w) (* r w))
(.f64 (.f64 r r) (*.f64 w w))
(* r w)
(*.f64 r w)
w
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
-3/2
#s(literal -3/2 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (/ 2 (* r r)) (+ (* (* r r) (* (* w w) -1/4)) -3/2))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 r (.f64 w (.f64 #s(literal -1/4 binary64) (*.f64 r w))))))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (* (* r r) (* (* w w) -1/4)) -3/2)
(+.f64 #s(literal -3/2 binary64) (.f64 r (.f64 w (.f64 #s(literal -1/4 binary64) (.f64 r w)))))
(* (* r r) (* (* w w) -1/4))
(.f64 r (.f64 w (.f64 #s(literal -1/4 binary64) (.f64 r w))))
(* (* w w) -1/4)
(.f64 #s(literal -1/4 binary64) (.f64 w w))
(* w w)
(*.f64 w w)
w
-1/4
#s(literal -1/4 binary64)
-3/2
#s(literal -3/2 binary64)
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2))
(+.f64 (.f64 (.f64 r w) (.f64 w (.f64 r (-.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)))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2)
(+.f64 #s(literal -3/2 binary64) (.f64 (.f64 r w) (.f64 w (.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))))
(* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w))))
(.f64 (.f64 r w) (.f64 w (.f64 r (-.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(* (* r r) (- 0 (* w w)))
(.f64 r (.f64 r (-.f64 #s(literal 0 binary64) (*.f64 w w))))
(- 0 (* w w))
(-.f64 #s(literal 0 binary64) (*.f64 w w))
0
#s(literal 0 binary64)
(* w w)
(*.f64 w w)
w
-3/2
#s(literal -3/2 binary64)
(+ (/ 2 (* r r)) (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w)))) -3/2))
(+.f64 (/.f64 (.f64 r (+.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w)))) -3/2)
(+.f64 (/.f64 (.f64 r (+.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)))) #s(literal -3/2 binary64))
(/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w))))
(/.f64 (.f64 r (+.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))))
(* (+ 3/8 (* v -1/4)) r)
(.f64 r (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(/ (+ v -1) (* r (* w w)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* r (* w w))
(.f64 r (.f64 w w))
(* w w)
(*.f64 w w)
w
-3/2
#s(literal -3/2 binary64)

localize251.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	95.7%	(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
✓	accuracy	89.0%	(.f64 r (.f64 w w))
✓	accuracy	87.5%	(/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w))))
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	97.0%	(.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (*.f64 w w))))
✓	accuracy	79.2%	(.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (*.f64 w w)))
✓	accuracy	100.0%	(*.f64 w w)
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	79.2%	(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	99.7%	(.f64 (.f64 r w) (*.f64 r w))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	96.3%	(/.f64 (.f64 (.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))
✓	accuracy	93.6%	(.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 (.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64))))

Results

145.0ms	235×	0	valid
18.0ms	10×	2	valid
15.0ms	11×	1	valid

Compiler

Compiled 389 to 37 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 22.0ms (44.2% of total)

ival-add: 13.0ms (26.1% of total)

ival-div: 7.0ms (14.1% of total)

backward-pass: 5.0ms (10% of total)

ival-sub: 2.0ms (4% of total)

const: 1.0ms (2% of total)

series30.0ms (0.2%)

Counts

20 → 576

Calls

Call 1

Inputs
#<alt (+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2)>
#<alt (+ (/ 2 (* r r)) (+ (* (* r r) (* (* w w) -1/4)) -3/2))>
#<alt (+ (* (* r r) (* (* w w) -1/4)) -3/2)>
#<alt (+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2))>
#<alt (+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2)>
#<alt (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w))))>
#<alt (+ (/ 2 (* r r)) (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w)))) -3/2))>
#<alt (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w)))) -3/2)>
#<alt (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1)))>
#<alt (/ (* (* r w) (* r w)) (+ v -1))>
#<alt (* (* r w) (* r w))>
#<alt (* (* r r) (* (* w w) -1/4))>
#<alt (* w w)>
#<alt (* (* r r) (- 0 (* w w)))>
#<alt (/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w))))>
#<alt (* r (* w w))>
#<alt (/ (+ v -1) (* r (* w w)))>

Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
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#<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 (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* -1/4 (* (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 (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 (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -1 (* (pow r 2) (pow w 2)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* r (pow w 2))>
#<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 (/ -1 (* r (pow w 2)))>
#<alt (- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))>
#<alt (- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))>
#<alt (- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))>
#<alt (/ v (* r (pow w 2)))>
#<alt (* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))>
#<alt (* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))>
#<alt (* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))>
#<alt (/ v (* r (pow w 2)))>
#<alt (* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))>
#<alt (* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))>
#<alt (* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>

Calls

144 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(/ (+ v -1) (* r (* w w)))
1.0ms	v	@	0	(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2))
1.0ms	v	@	inf	(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2))
1.0ms	v	@	-inf	(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2))
0.0ms	v	@	-inf	(/ (+ v -1) (* r (* w w)))

rewrite623.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3518×	`fma-lowering-fma.f32`
3518×	`fma-lowering-fma.f64`
3158×	`-lowering-.f32`
3158×	`-lowering-.f64`
2092×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	206
1	259	191
2	3367	189
0	8668	189

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 701

Calls

Call 1

Inputs
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2))
(/ 2 (* r r))
(* r r)
(+ (* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1))) -3/2)
(+ (/ 2 (* r r)) (+ (* (* r r) (* (* w w) -1/4)) -3/2))
(+ (* (* r r) (* (* w w) -1/4)) -3/2)
(+ (/ 2 (* r r)) (+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2))
(+ (* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w)))) -3/2)
(* (+ 3/8 (* v -1/4)) (* (* r r) (- 0 (* w w))))
(+ (/ 2 (* r r)) (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w)))) -3/2))
(+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w)))) -3/2)
(* (+ 3/8 (* v -1/4)) (/ (* (* r w) (* r w)) (+ v -1)))
(/ (* (* r w) (* r w)) (+ v -1))
(* (* r w) (* r w))
(* (* r r) (* (* w w) -1/4))
(* w w)
(* (* r r) (- 0 (* w w)))
(/ (* (+ 3/8 (* v -1/4)) r) (/ (+ v -1) (* r (* w w))))
(* r (* w w))
(/ (+ v -1) (* r (* w w)))

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 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))))
(+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))) (/.f64 #s(literal 2 binary64) (.f64 r r)))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))) #s(literal -3/2 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))))) (/.f64 (.f64 (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))) (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))))
(fma.f64 r (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 r (.f64 w w)) (+.f64 v #s(literal -1 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 r (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (.f64 r w) (.f64 (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (.f64 r (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64)))) (/.f64 (.f64 r (.f64 w w)) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (.f64 r (.f64 w w)) (/.f64 (.f64 r (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64)))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 r (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 r (.f64 w w))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))))
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(/.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w) w)
(pow.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w))) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 w w) (/.f64 (+.f64 v #s(literal -1 binary64)) r)) #s(literal -1 binary64))
(.f64 (+.f64 v #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 r (*.f64 w w))))
(.f64 (+.f64 #s(literal 1 binary64) (neg.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 r (*.f64 w w)))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (*.f64 w w))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 r (*.f64 w w))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) (/.f64 #s(literal 1 binary64) (.f64 w w)))
(.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (/.f64 (.f64 w w) (+.f64 v #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 w w)) (/.f64 (+.f64 v #s(literal -1 binary64)) r))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 r w)) (pow.f64 (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 r (*.f64 w w))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 r (*.f64 w w)))))
(.f64 (pow.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 v #s(literal -1 binary64))))))
(.f64 (pow.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 (.f64 v v) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal -1 binary64)) r)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 w w)))

simplify383.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3088×	`+-lowering-+.f64`
3088×	`+-lowering-+.f32`
2364×	`-lowering-.f32`
2364×	`-lowering-.f64`
2054×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	10177
1	916	7518
2	3646	6982
0	8401	6982

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))) 3/2))) (pow r 2))
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))))
(* (pow r 2) (- (* -1 (* (pow w 2) (+ 3/8 (* -1/4 v)))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 3/8 (* -1/4 v)))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 3/8 (* -1/4 v)))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))))
(* (pow r 2) (- (* -1 (* (pow w 2) (+ 3/8 (* -1/4 v)))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 3/8 (* -1/4 v)))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1 (* (pow w 2) (+ 3/8 (* -1/4 v)))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 1/4 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 1/4 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 1/4 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)
(* 1/4 (* (pow r 2) (* v (pow w 2))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 1/4 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 1/4 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 1/4 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))
(* 1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* -1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* -1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* -1/4 (* (pow r 2) (pow w 2))))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))))
(* (pow w 2) (- (+ (* -1 (* (pow r 2) (+ 3/8 (* -1/4 v)))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
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(/ (* (pow r 2) (pow w 2)) (- v 1))
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(/ (* (pow r 2) (pow w 2)) (- v 1))
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(+ (* -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))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (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))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* -1/4 (* (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)))
(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)
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
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(* -1 (* (pow r 2) (pow w 2)))
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(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (pow r 2) (pow w 2)))
(* -1 (* (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))) (* 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))
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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))
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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))
(* 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))
(/ -1 (* r (pow w 2)))
(- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))
(- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))
(- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))
(/ v (* r (pow w 2)))
(* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))
(* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))
(* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))
(/ v (* r (pow w 2)))
(* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))
(* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))
(* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
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(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))
(/ (- v 1) (* r (pow w 2)))

Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (.f64 w w) (+.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 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (.f64 w w) (+.f64 v #s(literal -1 binary64)))))))) (.f64 r r))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (.f64 w w) (+.f64 v #s(literal -1 binary64)))) (/.f64 #s(literal -3/2 binary64) (.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (.f64 w w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (.f64 w w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (.f64 w w) (+.f64 v #s(literal -1 binary64)))) (/.f64 #s(literal -3/2 binary64) (.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (.f64 w w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (.f64 w w) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 #s(literal -1/8 binary64) v)))))
(- (+ (* -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 #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)) (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/8 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) v)))))
(- (+ (* -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 #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)) (.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))))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -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 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal 1/8 binary64))) v) #s(literal -3/2 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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(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(.f64 (.f64 r r) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (/.f64 (*.f64 w w) (+.f64 v #s(literal -1 binary64)))))
(* 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))
(/ -1 (* r (pow w 2)))
(/.f64 #s(literal -1 binary64) (.f64 r (.f64 w w)))
(- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ v (* r (pow w 2)))
(/.f64 v (.f64 r (.f64 w w)))
(* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))
(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (.f64 r (.f64 w w))) (/.f64 #s(literal -1 binary64) (.f64 r (.f64 w (.f64 w v))))))
(* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))
(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (.f64 r (.f64 w w))) (/.f64 #s(literal -1 binary64) (.f64 r (.f64 w (.f64 w v))))))
(* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))
(.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (.f64 r (.f64 w w))) (/.f64 #s(literal -1 binary64) (.f64 r (.f64 w (.f64 w v))))))
(/ v (* r (pow w 2)))
(/.f64 v (.f64 r (.f64 w w)))
(* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 r (.f64 w w))) v) (/.f64 #s(literal -1 binary64) (.f64 r (*.f64 w w)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 r (.f64 w w))) v) (/.f64 #s(literal -1 binary64) (.f64 r (*.f64 w w)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 r (.f64 w w))) v) (/.f64 #s(literal -1 binary64) (.f64 r (*.f64 w w)))) (-.f64 #s(literal 0 binary64) v))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))

eval214.0ms (1.5%)

Compiler: Compiled 51391 to 2314 computations (95.5% saved)

prune191.0ms (1.4%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	1526	19	1545
Fresh	6	5	11
Picked	4	1	5
Done	0	0	0
Total	1536	25	1561

Accuracy

100.0%

Counts

1561 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.0%	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
	51.6%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))) #s(literal 3/2 binary64))) (.f64 r (+.f64 (.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) #s(literal 1/16 binary64)) #s(literal -9/4 binary64)))) (.f64 r (+.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal 3/2 binary64))))
	51.2%	(/.f64 (+.f64 (.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (.f64 w w))))) #s(literal -9/4 binary64)) r) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal 3/2 binary64)) (/.f64 r #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w)))) #s(literal 3/2 binary64)) r))
▶	56.3%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
✓	43.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.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 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (.f64 (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))) (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))))))
	42.9%	(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
▶	66.3%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
	92.6%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w) w)) #s(literal -3/2 binary64)))
	71.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 v (.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
	79.6%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (neg.f64 (.f64 r w)))) #s(literal -3/2 binary64)))
	77.9%	(+.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 (neg.f64 (.f64 r (.f64 r w))) w)) #s(literal -3/2 binary64)))
▶	91.7%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64)))
	85.6%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r (.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
▶	93.6%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
	81.2%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
	75.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 r (.f64 (-.f64 #s(literal 0 binary64) (.f64 r (.f64 w w))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal -3/2 binary64)))
	67.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))
	60.0%	(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
	75.8%	(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (.f64 w w))))) #s(literal -3/2 binary64))
	42.9%	(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
	44.9%	(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
	14.0%	(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
	25.7%	(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
	32.5%	(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))

Compiler

Compiled 1236 to 708 computations (42.7% saved)

simplify139.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
✓	cost-diff	(*.f64 r r)
✓	cost-diff	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
✓	cost-diff	(+.f64 (.f64 (.f64 (.f64 r w) (.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64))
✓	cost-diff	(*.f64 r r)
✓	cost-diff	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64)))
✓	cost-diff	(*.f64 r r)
✓	cost-diff	(.f64 (.f64 r r) #s(literal -3/2 binary64))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64)))
✓	cost-diff	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
✓	cost-diff	(/.f64 #s(literal 2 binary64) r)
✓	cost-diff	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
✓	cost-diff	(+.f64 (.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64))
✓	cost-diff	(*.f64 r r)
✓	cost-diff	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))

Rules

2210×	`-lowering-.f32`
2210×	`-lowering-.f64`
1836×	`fma-define`
1652×	`fma-lowering-fma.f32`
1652×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	224
1	88	195
2	251	194
3	704	194
4	1372	194
5	1704	194
6	2400	194
7	3514	194
8	4144	194
9	4207	194
10	4207	194
11	4217	194
12	4217	194
13	4313	194
14	4331	194
0	4331	194

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (/ 2 (* r r)) (+ (* (* r w) (* (* r w) -1/4)) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* r w) (* (* r w) -1/4)) -3/2)
(* (* r w) (* (* r w) -1/4))
(* r w)
w
(* (* r w) -1/4)
-1/4
-3/2
(/ (/ 2 r) r)
(/ 2 r)
2
r
(/ (+ 2 (* (* r r) -3/2)) (* r r))
(+ 2 (* (* r r) -3/2))
2
(* (* r r) -3/2)
(* r r)
r
-3/2
(+ (/ 2 (* r r)) (+ (* (* (* r w) (* -1/4 w)) r) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* (* r w) (* -1/4 w)) r) -3/2)
(* (* (* r w) (* -1/4 w)) r)
(* (* r w) (* -1/4 w))
(* r w)
w
(* -1/4 w)
-1/4
-3/2
(+ (/ 2 (* r r)) (/ (* (* r r) (* (* w w) (+ 3/8 (* -1/4 v)))) (+ v -1)))
(/ 2 (* r r))
2
(* r r)
r
(/ (* (* r r) (* (* w w) (+ 3/8 (* -1/4 v)))) (+ v -1))
(* (* r r) (* (* w w) (+ 3/8 (* -1/4 v))))
(* (* w w) (+ 3/8 (* -1/4 v)))
(* w w)
w
(+ 3/8 (* -1/4 v))
3/8
(* -1/4 v)
-1/4
v
(+ v -1)
-1

Outputs
(+ (/ 2 (* r r)) (+ (* (* r w) (* (* r w) -1/4)) -3/2))
(+.f64 (.f64 r (.f64 w (.f64 r (.f64 w #s(literal -1/4 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (* (* r w) (* (* r w) -1/4)) -3/2)
(+.f64 (.f64 r (.f64 w (.f64 r (.f64 w #s(literal -1/4 binary64))))) #s(literal -3/2 binary64))
(* (* r w) (* (* r w) -1/4))
(.f64 r (.f64 w (.f64 r (.f64 w #s(literal -1/4 binary64)))))
(* r w)
(*.f64 r w)
w
(* (* r w) -1/4)
(.f64 r (.f64 w #s(literal -1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
-3/2
#s(literal -3/2 binary64)
(/ (/ 2 r) r)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
2
#s(literal 2 binary64)
r
(/ (+ 2 (* (* r r) -3/2)) (* r r))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(+ 2 (* (* r r) -3/2))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64)))
2
#s(literal 2 binary64)
(* (* r r) -3/2)
(.f64 (.f64 r r) #s(literal -3/2 binary64))
(* r r)
(*.f64 r r)
r
-3/2
#s(literal -3/2 binary64)
(+ (/ 2 (* r r)) (+ (* (* (* r w) (* -1/4 w)) r) -3/2))
(+.f64 (.f64 r (.f64 w (.f64 r (.f64 w #s(literal -1/4 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (* (* (* r w) (* -1/4 w)) r) -3/2)
(+.f64 (.f64 r (.f64 w (.f64 r (.f64 w #s(literal -1/4 binary64))))) #s(literal -3/2 binary64))
(* (* (* r w) (* -1/4 w)) r)
(.f64 r (.f64 w (.f64 r (.f64 w #s(literal -1/4 binary64)))))
(* (* r w) (* -1/4 w))
(.f64 w (.f64 r (*.f64 w #s(literal -1/4 binary64))))
(* r w)
(*.f64 r w)
w
(* -1/4 w)
(*.f64 w #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-3/2
#s(literal -3/2 binary64)
(+ (/ 2 (* r r)) (/ (* (* r r) (* (* w w) (+ 3/8 (* -1/4 v)))) (+ v -1)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
(/ 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 (* -1/4 v)))) (+ v -1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(* (* r r) (* (* w w) (+ 3/8 (* -1/4 v))))
(.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))
(* (* w w) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* w w)
(*.f64 w w)
w
(+ 3/8 (* -1/4 v))
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))
3/8
#s(literal 3/8 binary64)
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
-1/4
#s(literal -1/4 binary64)
v
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize183.0ms (1.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	95.6%	(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
✓	accuracy	93.1%	(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
✓	accuracy	80.5%	(.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/4 binary64) w)
✓	accuracy	99.8%	(.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	95.7%	(.f64 (.f64 (.f64 r w) (.f64 #s(literal -1/4 binary64) w)) r)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64)))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	99.8%	(.f64 (.f64 r r) #s(literal -3/2 binary64))
✓	accuracy	76.9%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) r)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
✓	accuracy	100.0%	(*.f64 r w)
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	99.7%	(.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64)))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))

Results

130.0ms

256×

valid

Compiler

Compiled 255 to 34 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 21.0ms (53% of total)

ival-add: 9.0ms (22.7% of total)

ival-div: 8.0ms (20.2% of total)

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts

20 → 420

Calls

Call 1

Inputs
#<alt (+ (/ 2 (* r r)) (+ (* (* r w) (* (* r w) -1/4)) -3/2))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ (* (* r w) (* (* r w) -1/4)) -3/2)>
#<alt (/ (/ 2 r) r)>
#<alt (/ 2 r)>
#<alt (/ (+ 2 (* (* r r) -3/2)) (* r r))>
#<alt (+ 2 (* (* r r) -3/2))>
#<alt (* (* r r) -3/2)>
#<alt (+ (/ 2 (* r r)) (+ (* (* (* r w) (* -1/4 w)) r) -3/2))>
#<alt (+ (* (* (* r w) (* -1/4 w)) r) -3/2)>
#<alt (+ (/ 2 (* r r)) (/ (* (* r r) (* (* w w) (+ 3/8 (* -1/4 v)))) (+ v -1)))>
#<alt (/ (* (* r r) (* (* w w) (+ 3/8 (* -1/4 v)))) (+ v -1))>
#<alt (* (* r w) (* (* r w) -1/4))>
#<alt (* r w)>
#<alt (* (* (* r w) (* -1/4 w)) r)>
#<alt (* (* r w) (* -1/4 w))>
#<alt (* -1/4 w)>
#<alt (* (* r r) (* (* w w) (+ 3/8 (* -1/4 v))))>
#<alt (* (* w w) (+ 3/8 (* -1/4 v)))>

Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt -3/2>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt 2>
#<alt (+ 2 (* -3/2 (pow r 2)))>
#<alt (+ 2 (* -3/2 (pow r 2)))>
#<alt (+ 2 (* -3/2 (pow r 2)))>
#<alt (* -3/2 (pow r 2))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (* -3/2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt -3/2>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (/ (* (pow r 4) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) (pow r 2))>
#<alt (/ (+ 2 (/ (* (pow r 4) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) (pow r 2))>
#<alt (/ (+ 2 (/ (* (pow r 4) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) (pow r 2))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (+ (* 2 (/ 1 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (* (pow r 2) (+ (* 2 (/ 1 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (* (pow r 2) (+ (* 2 (/ 1 (pow r 4))) (/ (* (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) (+ (* 2 (/ 1 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (* (pow r 2) (+ (* 2 (/ 1 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (* (pow r 2) (+ (* 2 (/ 1 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (/ 2 (pow r 2))>
#<alt (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)))>
#<alt (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)))>
#<alt (+ (* 2 (/ 1 (pow r 2))) (/ (* (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 w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 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)))))))>
#<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)))))))>
#<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)))))))>
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) 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)))))) (+ (* 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)))))) (+ (* -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))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) 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)))))>
#<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)))))>
#<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 (* -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 (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* -1/4 (* (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 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* (pow r 2) (* (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 w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* (pow w 2) (+ 3/8 (* -1/4 v)))>
#<alt (* 3/8 (pow w 2))>
#<alt (+ (* -1/4 (* v (pow w 2))) (* 3/8 (pow w 2)))>
#<alt (+ (* -1/4 (* v (pow w 2))) (* 3/8 (pow w 2)))>
#<alt (+ (* -1/4 (* v (pow w 2))) (* 3/8 (pow w 2)))>
#<alt (* -1/4 (* v (pow w 2)))>
#<alt (* v (+ (* -1/4 (pow w 2)) (* 3/8 (/ (pow w 2) v))))>
#<alt (* v (+ (* -1/4 (pow w 2)) (* 3/8 (/ (pow w 2) v))))>
#<alt (* v (+ (* -1/4 (pow w 2)) (* 3/8 (/ (pow w 2) v))))>
#<alt (* -1/4 (* v (pow w 2)))>
#<alt (* -1 (* v (+ (* -3/8 (/ (pow w 2) v)) (* 1/4 (pow w 2)))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (pow w 2) v)) (* 1/4 (pow w 2)))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (pow w 2) v)) (* 1/4 (pow w 2)))))>

Calls

105 calls:

Time	Variable		Point	Expression
2.0ms	w	@	-inf	(* r w)
0.0ms	w	@	inf	(* (* w w) (+ 3/8 (* -1/4 v)))
0.0ms	r	@	inf	(/ (+ 2 (* (* r r) -3/2)) (* r r))
0.0ms	r	@	0	(/ (+ 2 (* (* r r) -3/2)) (* r r))
0.0ms	w	@	inf	(* -1/4 w)

rewrite332.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3624×	`/-lowering-/.f32`
3624×	`/-lowering-/.f64`
3278×	`-lowering-.f32`
3278×	`-lowering-.f64`
1598×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	167
1	224	139
2	2899	138
0	8214	138

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 705

Calls

Call 1

Inputs
(+ (/ 2 (* r r)) (+ (* (* r w) (* (* r w) -1/4)) -3/2))
(/ 2 (* r r))
(* r r)
(+ (* (* r w) (* (* r w) -1/4)) -3/2)
(/ (/ 2 r) r)
(/ 2 r)
(/ (+ 2 (* (* r r) -3/2)) (* r r))
(+ 2 (* (* r r) -3/2))
(* (* r r) -3/2)
(+ (/ 2 (* r r)) (+ (* (* (* r w) (* -1/4 w)) r) -3/2))
(+ (* (* (* r w) (* -1/4 w)) r) -3/2)
(+ (/ 2 (* r r)) (/ (* (* r r) (* (* w w) (+ 3/8 (* -1/4 v)))) (+ v -1)))
(/ (* (* r r) (* (* w w) (+ 3/8 (* -1/4 v)))) (+ v -1))
(* (* r w) (* (* r w) -1/4))
(* r w)
(* (* (* r w) (* -1/4 w)) r)
(* (* r w) (* -1/4 w))
(* -1/4 w)
(* (* r r) (* (* w w) (+ 3/8 (* -1/4 v))))
(* (* w w) (+ 3/8 (* -1/4 v)))

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 r (.f64 w (.f64 (*.f64 r w) #s(literal -1/4 binary64))))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 r (.f64 w (.f64 (*.f64 r w) #s(literal -1/4 binary64))))))
(+.f64 (.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -1/4 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -1/4 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
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(.f64 w (.f64 r (.f64 (.f64 r w) #s(literal -1/4 binary64))))
(.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 r (.f64 w (.f64 r w))))
(.f64 (.f64 (.f64 r w) #s(literal -1/4 binary64)) (.f64 r w))
(.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 (.f64 r w) r))
(.f64 (.f64 w (.f64 (.f64 r w) #s(literal -1/4 binary64))) r)
(.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal -1/4 binary64))
(.f64 (.f64 (.f64 r w) r) (.f64 w #s(literal -1/4 binary64)))
(.f64 (.f64 r (.f64 r w)) (.f64 w #s(literal -1/4 binary64)))
(.f64 (.f64 r (.f64 (.f64 r w) #s(literal -1/4 binary64))) w)
(.f64 (.f64 (.f64 (.f64 r w) #s(literal -1/4 binary64)) r) w)
(.f64 r (.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(.f64 w (.f64 (*.f64 r w) #s(literal -1/4 binary64)))
(.f64 (.f64 r w) (*.f64 w #s(literal -1/4 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 (*.f64 r w) w))
(.f64 #s(literal -1/4 binary64) (.f64 w (*.f64 r w)))
(.f64 (.f64 (*.f64 r w) #s(literal -1/4 binary64)) w)
(.f64 (.f64 w #s(literal -1/4 binary64)) (*.f64 r w))
(.f64 (.f64 (*.f64 w w) #s(literal -1/4 binary64)) r)
(.f64 (.f64 (*.f64 r w) w) #s(literal -1/4 binary64))
(.f64 (.f64 w (*.f64 r w)) #s(literal -1/4 binary64))
(*.f64 w #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) w)
(+.f64 (.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64)) (.f64 (.f64 r (.f64 w (.f64 r w))) (*.f64 #s(literal -1/4 binary64) v)))
(+.f64 (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 w (.f64 w (*.f64 #s(literal -1/4 binary64) v)))))
(+.f64 (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 #s(literal -1/4 binary64) v)) (.f64 (.f64 r (.f64 w (*.f64 r w))) #s(literal 3/8 binary64)))
(+.f64 (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 r r)) (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (*.f64 r r)))
(+.f64 (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w (.f64 r w)))) (.f64 (.f64 #s(literal -1/4 binary64) v) (.f64 r (.f64 w (*.f64 r w)))))
(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) v) (.f64 r (.f64 w (.f64 r w)))) (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w (*.f64 r w)))))
(fma.f64 r (.f64 (.f64 w (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)) (.f64 (.f64 r (.f64 w (.f64 r w))) (*.f64 #s(literal -1/4 binary64) v)))
(fma.f64 (.f64 r r) (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 (.f64 r r) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v)))))
(fma.f64 (.f64 r w) (.f64 (.f64 (.f64 r w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) (.f64 (.f64 r (.f64 w (.f64 r w))) (*.f64 #s(literal -1/4 binary64) v)))
(fma.f64 (.f64 (.f64 r w) #s(literal -1/4 binary64)) (.f64 (.f64 r w) #s(literal -3/2 binary64)) (.f64 (.f64 r (.f64 w (.f64 r w))) (*.f64 #s(literal -1/4 binary64) v)))
(fma.f64 #s(literal -3/2 binary64) (.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -1/4 binary64)))) (.f64 (.f64 r (.f64 w (.f64 r w))) (*.f64 #s(literal -1/4 binary64) v)))
(fma.f64 (.f64 w (.f64 (.f64 r w) #s(literal -1/4 binary64))) (.f64 r #s(literal -3/2 binary64)) (.f64 (.f64 r (.f64 w (.f64 r w))) (*.f64 #s(literal -1/4 binary64) v)))
(fma.f64 (.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (*.f64 #s(literal -1/4 binary64) v)))
(fma.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w (.f64 r w))) (.f64 (.f64 #s(literal -1/4 binary64) v) (.f64 r (.f64 w (.f64 r w)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) v) (.f64 r (.f64 w (.f64 r w))) (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w (.f64 r w)))))
(fma.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 r r) (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 r r)))
(fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 #s(literal -1/4 binary64) v)))
(fma.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 #s(literal -1/4 binary64) v) (.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64)))
(/.f64 (.f64 (.f64 r (.f64 w (.f64 r w))) (+.f64 #s(literal 27/512 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64)))) (+.f64 #s(literal 9/64 binary64) (.f64 (.f64 #s(literal -1/4 binary64) v) (-.f64 (.f64 #s(literal -1/4 binary64) v) #s(literal 3/8 binary64)))))
(/.f64 (.f64 (.f64 r (.f64 w (.f64 r w))) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v v) #s(literal 1/16 binary64)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/4 binary64) v)))
(/.f64 (neg.f64 (.f64 (.f64 r (.f64 w (.f64 r w))) (+.f64 #s(literal 27/512 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64))))) (neg.f64 (+.f64 #s(literal 9/64 binary64) (.f64 (.f64 #s(literal -1/4 binary64) v) (-.f64 (.f64 #s(literal -1/4 binary64) v) #s(literal 3/8 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 r (.f64 w (.f64 r w))) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v v) #s(literal 1/16 binary64))))) (neg.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/4 binary64) v))))
(.f64 r (.f64 r (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))
(.f64 w (.f64 (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (*.f64 r r)))
(.f64 (.f64 w w) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (*.f64 r r)))
(.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (.f64 r (.f64 w (*.f64 r w))))
(.f64 (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (*.f64 r r))
(.f64 (.f64 r (.f64 w (.f64 r w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(.f64 (.f64 r (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) r)
(.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))
(.f64 (.f64 (.f64 r r) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (*.f64 w w))
(+.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w (*.f64 #s(literal -1/4 binary64) v))))
(+.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 w (*.f64 w #s(literal 3/8 binary64))))
(-.f64 (/.f64 (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w #s(literal 3/8 binary64)))) (-.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))))) (/.f64 (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v)))) (-.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))))))
(fma.f64 w (.f64 w #s(literal 3/8 binary64)) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))))
(fma.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v)) (.f64 w (.f64 w #s(literal 3/8 binary64))))
(fma.f64 #s(literal -1/4 binary64) (.f64 v (.f64 w w)) (.f64 w (.f64 w #s(literal 3/8 binary64))))
(fma.f64 (.f64 w w) #s(literal 3/8 binary64) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))))
(fma.f64 (.f64 w w) (.f64 #s(literal -1/4 binary64) v) (.f64 w (.f64 w #s(literal 3/8 binary64))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w w) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))))
(fma.f64 v (.f64 #s(literal -1/4 binary64) (.f64 w w)) (.f64 w (.f64 w #s(literal 3/8 binary64))))
(fma.f64 (.f64 #s(literal -1/4 binary64) v) (.f64 w w) (.f64 w (.f64 w #s(literal 3/8 binary64))))
(fma.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) v (.f64 w (.f64 w #s(literal 3/8 binary64))))
(fma.f64 (.f64 #s(literal 3/8 binary64) w) w (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) v) w) w (.f64 w (.f64 w #s(literal 3/8 binary64))))
(fma.f64 (.f64 (.f64 w w) v) #s(literal -1/4 binary64) (.f64 w (.f64 w #s(literal 3/8 binary64))))
(/.f64 (+.f64 (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w #s(literal 3/8 binary64))))) (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v)))))) (+.f64 (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w #s(literal 3/8 binary64)))) (-.f64 (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v)))) (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w (*.f64 #s(literal -1/4 binary64) v)))))))
(/.f64 (-.f64 (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w #s(literal 3/8 binary64)))) (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))))) (-.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w (*.f64 #s(literal -1/4 binary64) v)))))
(/.f64 (.f64 (.f64 w w) (+.f64 #s(literal 27/512 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64)))) (+.f64 #s(literal 9/64 binary64) (.f64 (.f64 #s(literal -1/4 binary64) v) (-.f64 (.f64 #s(literal -1/4 binary64) v) #s(literal 3/8 binary64)))))
(/.f64 (.f64 (.f64 w w) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v v) #s(literal 1/16 binary64)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/4 binary64) v)))
(/.f64 (.f64 (+.f64 #s(literal 27/512 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64))) (.f64 w w)) (+.f64 #s(literal 9/64 binary64) (.f64 (.f64 #s(literal -1/4 binary64) v) (-.f64 (.f64 #s(literal -1/4 binary64) v) #s(literal 3/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v v) #s(literal 1/16 binary64))) (.f64 w w)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/4 binary64) v)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w #s(literal 3/8 binary64))))) (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))))))) (neg.f64 (+.f64 (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w #s(literal 3/8 binary64)))) (-.f64 (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v)))) (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w (*.f64 #s(literal -1/4 binary64) v))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w #s(literal 3/8 binary64)))) (.f64 (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v))) (.f64 w (.f64 w (.f64 #s(literal -1/4 binary64) v)))))) (neg.f64 (-.f64 (.f64 w (.f64 w #s(literal 3/8 binary64))) (.f64 w (.f64 w (*.f64 #s(literal -1/4 binary64) v))))))
(/.f64 (neg.f64 (.f64 (.f64 w w) (+.f64 #s(literal 27/512 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64))))) (neg.f64 (+.f64 #s(literal 9/64 binary64) (.f64 (.f64 #s(literal -1/4 binary64) v) (-.f64 (.f64 #s(literal -1/4 binary64) v) #s(literal 3/8 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 w w) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v v) #s(literal 1/16 binary64))))) (neg.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/4 binary64) v))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 27/512 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64))) (.f64 w w))) (neg.f64 (+.f64 #s(literal 9/64 binary64) (.f64 (.f64 #s(literal -1/4 binary64) v) (-.f64 (.f64 #s(literal -1/4 binary64) v) #s(literal 3/8 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v v) #s(literal 1/16 binary64))) (.f64 w w))) (neg.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/4 binary64) v))))
(.f64 w (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))
(.f64 (.f64 w w) (+.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)) (*.f64 w w))
(.f64 (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))) w)

simplify294.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

4140×	`-lowering-.f32`
4140×	`-lowering-.f64`
3164×	`+-lowering-+.f64`
3164×	`+-lowering-+.f32`
1614×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	5075
1	589	3912
2	2204	3578
0	8810	3578

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
2
(+ 2 (* -3/2 (pow r 2)))
(+ 2 (* -3/2 (pow r 2)))
(+ 2 (* -3/2 (pow r 2)))
(* -3/2 (pow r 2))
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))
(* -3/2 (pow r 2))
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))
(* (pow r 2) (- (* 2 (/ 1 (pow r 2))) 3/2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(* -3/2 (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
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(* -1/4 (* (pow r 2) (pow w 2)))
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(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
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(* -1/4 (* (pow r 2) (pow w 2)))
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(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
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(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
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(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
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(* -1/4 (* (pow r 2) (pow w 2)))
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(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
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(/ (+ 2 (/ (* (pow r 4) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) (pow r 2))
(/ (+ 2 (/ (* (pow r 4) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) (pow r 2))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (+ (* 2 (/ 1 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))))
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(* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))
(* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))
(* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))
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(* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))
(* (pow w 2) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 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)))))))
(+ (* -3/8 (* (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)))))))
(+ (* -3/8 (* (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)))))))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) 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)))))) (+ (* 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))) (* 2 (/ 1 (pow r 2))))
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(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
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(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/ (* (pow r 2) (* (pow w 2) (+ 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))))
(* -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)))
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* -1/4 (* (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 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* (pow r 2) (* (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 w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(* 3/8 (pow w 2))
(+ (* -1/4 (* v (pow w 2))) (* 3/8 (pow w 2)))
(+ (* -1/4 (* v (pow w 2))) (* 3/8 (pow w 2)))
(+ (* -1/4 (* v (pow w 2))) (* 3/8 (pow w 2)))
(* -1/4 (* v (pow w 2)))
(* v (+ (* -1/4 (pow w 2)) (* 3/8 (/ (pow w 2) v))))
(* v (+ (* -1/4 (pow w 2)) (* 3/8 (/ (pow w 2) v))))
(* v (+ (* -1/4 (pow w 2)) (* 3/8 (/ (pow w 2) v))))
(* -1/4 (* v (pow w 2)))
(* -1 (* v (+ (* -3/8 (/ (pow w 2) v)) (* 1/4 (pow w 2)))))
(* -1 (* v (+ (* -3/8 (/ (pow w 2) v)) (* 1/4 (pow w 2)))))
(* -1 (* v (+ (* -3/8 (/ (pow w 2) v)) (* 1/4 (pow w 2)))))

Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
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(.f64 (.f64 r r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(.f64 (.f64 r r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 (.f64 v (.f64 (.f64 (*.f64 r r) #s(literal -1/4 binary64)) w)) w)
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(.f64 v (.f64 (.f64 r r) (.f64 (*.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 r) (.f64 (*.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 r) (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(.f64 (.f64 v (.f64 (.f64 (*.f64 r r) #s(literal -1/4 binary64)) w)) w)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(.f64 v (.f64 (.f64 r r) (.f64 (*.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 r) (.f64 (*.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 r) (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* (pow w 2) (+ 3/8 (* -1/4 v)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* 3/8 (pow w 2))
(.f64 (.f64 w w) #s(literal 3/8 binary64))
(+ (* -1/4 (* v (pow w 2))) (* 3/8 (pow w 2)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(+ (* -1/4 (* v (pow w 2))) (* 3/8 (pow w 2)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(+ (* -1/4 (* v (pow w 2))) (* 3/8 (pow w 2)))
(.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))
(* -1/4 (* v (pow w 2)))
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 w w)) v)
(* v (+ (* -1/4 (pow w 2)) (* 3/8 (/ (pow w 2) v))))
(.f64 v (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* v (+ (* -1/4 (pow w 2)) (* 3/8 (/ (pow w 2) v))))
(.f64 v (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* v (+ (* -1/4 (pow w 2)) (* 3/8 (/ (pow w 2) v))))
(.f64 v (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1/4 (* v (pow w 2)))
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 w w)) v)
(* -1 (* v (+ (* -3/8 (/ (pow w 2) v)) (* 1/4 (pow w 2)))))
(.f64 v (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1 (* v (+ (* -3/8 (/ (pow w 2) v)) (* 1/4 (pow w 2)))))
(.f64 v (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1 (* v (+ (* -3/8 (/ (pow w 2) v)) (* 1/4 (pow w 2)))))
(.f64 v (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))

eval184.0ms (1.3%)

Compiler: Compiled 38485 to 1949 computations (94.9% saved)

prune178.0ms (1.3%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1358	9	1367
Fresh	7	12	19
Picked	2	3	5
Done	0	1	1
Total	1367	25	1392

Accuracy

100.0%

Counts

1392 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.6%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
✓	43.0%	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
	51.6%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))) #s(literal 3/2 binary64))) (.f64 r (+.f64 (.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) #s(literal 1/16 binary64)) #s(literal -9/4 binary64)))) (.f64 r (+.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal 3/2 binary64))))
	51.2%	(/.f64 (+.f64 (.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (.f64 w w))))) #s(literal -9/4 binary64)) r) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal 3/2 binary64)) (/.f64 r #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w)))) #s(literal 3/2 binary64)) r))
✓	43.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.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 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (.f64 (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))) (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))))))
	78.0%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (.f64 r (.f64 w (.f64 r w)))) (+.f64 v #s(literal -1 binary64))))
▶	72.7%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
▶	92.6%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w) w)) #s(literal -3/2 binary64)))
	71.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 v (.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
	79.6%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (neg.f64 (.f64 r w)))) #s(literal -3/2 binary64)))
	77.9%	(+.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 (neg.f64 (.f64 r (.f64 r w))) w)) #s(literal -3/2 binary64)))
	85.6%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r) #s(literal -3/2 binary64)))
✓	91.7%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64)))
✓	93.6%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
	81.2%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
▶	61.5%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
	67.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))
	67.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))
	70.3%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 r (/.f64 (.f64 r (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))
	60.0%	(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
	71.5%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
▶	44.9%	(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
	32.5%	(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
▶	18.2%	#s(literal -3/2 binary64)

Compiler

Compiled 1208 to 685 computations (43.3% saved)

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
✓	cost-diff	0	(.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/8 binary64) v)))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
✓	cost-diff	0	(.f64 (.f64 w w) #s(literal -1/4 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	256	(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
✓	cost-diff	0	(+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w) w)) #s(literal -3/2 binary64))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w) w)) #s(literal -3/2 binary64)))

Rules

3046×	`-lowering-.f32`
3046×	`-lowering-.f64`
1420×	`fma-define`
1356×	`+-lowering-+.f64`
1356×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	287
1	112	269
2	369	256
3	1145	251
4	2274	251
5	3375	251
6	5492	251
0	8440	251

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (/ 2 (* r r)) (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w)) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w)) -3/2)
(/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w))
(* (+ 3/8 (* v -1/4)) r)
(+ 3/8 (* v -1/4))
3/8
(* v -1/4)
v
-1/4
(/ (/ (/ (+ v -1) r) w) w)
(/ (/ (+ v -1) r) w)
(/ (+ v -1) r)
(+ v -1)
-1
w
-3/2
-3/2
(* (* r r) (+ (* (* w w) -1/4) (/ -3/2 (* r r))))
(* r r)
r
(+ (* (* w w) -1/4) (/ -3/2 (* r r)))
(* (* w w) -1/4)
(* w w)
w
-1/4
(/ -3/2 (* r r))
-3/2
(+ (/ 2 (* r r)) (* (* r (* r (* w w))) (+ -3/8 (* -1/8 v))))
(/ 2 (* r r))
2
(* r r)
r
(* (* r (* r (* w w))) (+ -3/8 (* -1/8 v)))
(* r (* r (* w w)))
(* r (* w w))
(* w w)
w
(+ -3/8 (* -1/8 v))
-3/8
(* -1/8 v)
-1/8
v
(+ (/ 2 (* r r)) (/ (* (* (* r r) w) (* w (+ 3/8 (* -1/4 v)))) (+ v -1)))
(/ 2 (* r r))
2
(* r r)
r
(/ (* (* (* r r) w) (* w (+ 3/8 (* -1/4 v)))) (+ v -1))
(* (* (* r r) w) (* w (+ 3/8 (* -1/4 v))))
(* (* r r) w)
w
(* w (+ 3/8 (* -1/4 v)))
(+ 3/8 (* -1/4 v))
3/8
(* -1/4 v)
-1/4
v
(+ v -1)
-1

Outputs
(+ (/ 2 (* r r)) (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w)) -3/2))
(+.f64 (/.f64 (.f64 r (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w)) -3/2)
(+.f64 (/.f64 (.f64 r (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w)) #s(literal -3/2 binary64))
(/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w))
(/.f64 (.f64 r (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w))
(* (+ 3/8 (* v -1/4)) r)
(.f64 r (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))
(+ 3/8 (* v -1/4))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* v -1/4)
(*.f64 v #s(literal -1/4 binary64))
v
-1/4
#s(literal -1/4 binary64)
(/ (/ (/ (+ v -1) r) w) w)
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (/ (+ v -1) r) w)
(/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w)
(/ (+ v -1) r)
(/.f64 (+.f64 v #s(literal -1 binary64)) r)
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)
w
-3/2
#s(literal -3/2 binary64)
-3/2
#s(literal -3/2 binary64)
(* (* r r) (+ (* (* w w) -1/4) (/ -3/2 (* r r))))
(+.f64 #s(literal -3/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w)))))
(* r r)
(*.f64 r r)
r
(+ (* (* w w) -1/4) (/ -3/2 (* r r)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 w w)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))
(* (* w w) -1/4)
(.f64 #s(literal -1/4 binary64) (.f64 w w))
(* w w)
(*.f64 w w)
w
-1/4
#s(literal -1/4 binary64)
(/ -3/2 (* r r))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
-3/2
#s(literal -3/2 binary64)
(+ (/ 2 (* r r)) (* (* r (* r (* w w))) (+ -3/8 (* -1/8 v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (.f64 v #s(literal -1/8 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 (* -1/8 v)))
(.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))
(* r (* r (* w w)))
(.f64 r (.f64 r (*.f64 w w)))
(* r (* w w))
(.f64 r (.f64 w w))
(* w w)
(*.f64 w w)
w
(+ -3/8 (* -1/8 v))
(+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64)))
-3/8
#s(literal -3/8 binary64)
(* -1/8 v)
(*.f64 v #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
v
(+ (/ 2 (* r r)) (/ (* (* (* r r) w) (* w (+ 3/8 (* -1/4 v)))) (+ v -1)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 r (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w)))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(/ (* (* (* r r) w) (* w (+ 3/8 (* -1/4 v)))) (+ v -1))
(/.f64 (.f64 r (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))) (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w))
(* (* (* r r) w) (* w (+ 3/8 (* -1/4 v))))
(.f64 r (.f64 r (.f64 w (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))))
(* (* r r) w)
(.f64 (.f64 r r) w)
w
(* w (+ 3/8 (* -1/4 v)))
(.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))
(+ 3/8 (* -1/4 v))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
3/8
#s(literal 3/8 binary64)
(* -1/4 v)
(*.f64 v #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
v
(+ v -1)
(+.f64 v #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize369.0ms (2.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	95.6%	(/.f64 (.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
✓	accuracy	92.2%	(.f64 (.f64 r r) w)
✓	accuracy	92.1%	(.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v))))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	97.0%	(.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -1/8 binary64) v)))
✓	accuracy	95.7%	(.f64 r (.f64 r (*.f64 w w)))
✓	accuracy	89.0%	(.f64 r (.f64 w w))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r)))
✓	accuracy	99.0%	(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
✓	accuracy	63.3%	(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	98.7%	(/.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w) w)
✓	accuracy	96.5%	(/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w)
✓	accuracy	87.5%	(/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w) w))

Results

197.0ms	213×	0	valid
61.0ms	22×	2	valid
26.0ms	21×	1	valid

Compiler

Compiled 327 to 41 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 38.0ms (47.4% of total)

ival-div: 20.0ms (24.9% of total)

ival-add: 14.0ms (17.4% of total)

backward-pass: 7.0ms (8.7% of total)

const: 1.0ms (1.2% of total)

series26.0ms (0.2%)

Counts

19 → 528

Calls

Call 1

Inputs
#<alt (+ (/ 2 (* r r)) (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w)) -3/2))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w)) -3/2)>
#<alt (* (* r r) (+ (* (* w w) -1/4) (/ -3/2 (* r r))))>
#<alt (+ (* (* w w) -1/4) (/ -3/2 (* r r)))>
#<alt (* (* w w) -1/4)>
#<alt (+ (/ 2 (* r r)) (* (* r (* r (* w w))) (+ -3/8 (* -1/8 v))))>
#<alt (* (* r (* r (* w w))) (+ -3/8 (* -1/8 v)))>
#<alt (+ (/ 2 (* r r)) (/ (* (* (* r r) w) (* w (+ 3/8 (* -1/4 v)))) (+ v -1)))>
#<alt (/ (* (* (* r r) w) (* w (+ 3/8 (* -1/4 v)))) (+ v -1))>
#<alt (/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w))>
#<alt (/ (/ (+ v -1) r) w)>
#<alt (/ (/ (/ (+ v -1) r) w) w)>
#<alt (/ -3/2 (* r r))>
#<alt (* r (* w w))>
#<alt (* r (* r (* w w)))>
#<alt (* (* (* r r) w) (* w (+ 3/8 (* -1/4 v))))>
#<alt (* (* r r) w)>

Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt -3/2>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
#<alt (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)>
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#<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 (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))>
#<alt (/ -1 (* r w))>
#<alt (- (/ v (* r w)) (/ 1 (* r w)))>
#<alt (- (/ v (* r w)) (/ 1 (* r w)))>
#<alt (- (/ v (* r w)) (/ 1 (* r w)))>
#<alt (/ v (* r w))>
#<alt (* v (- (/ 1 (* r w)) (/ 1 (* r (* v w)))))>
#<alt (* v (- (/ 1 (* r w)) (/ 1 (* r (* v w)))))>
#<alt (* v (- (/ 1 (* r w)) (/ 1 (* r (* v w)))))>
#<alt (/ v (* r w))>
#<alt (* -1 (* v (- (/ 1 (* r (* v w))) (/ 1 (* r w)))))>
#<alt (* -1 (* v (- (/ 1 (* r (* v w))) (/ 1 (* r w)))))>
#<alt (* -1 (* v (- (/ 1 (* r (* v w))) (/ 1 (* r w)))))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ (- v 1) (* r w))>
#<alt (/ -1 (* r (pow w 2)))>
#<alt (- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))>
#<alt (- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))>
#<alt (- (/ v (* r (pow w 2))) (/ 1 (* r (pow w 2))))>
#<alt (/ v (* r (pow w 2)))>
#<alt (* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))>
#<alt (* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))>
#<alt (* v (- (/ 1 (* r (pow w 2))) (/ 1 (* r (* v (pow w 2))))))>
#<alt (/ v (* r (pow w 2)))>
#<alt (* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))>
#<alt (* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))>
#<alt (* -1 (* v (- (/ 1 (* r (* v (pow w 2)))) (/ 1 (* r (pow w 2))))))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ (- v 1) (* r (pow w 2)))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (pow r 2))>
#<alt (/ -3/2 (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) (+ 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) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>

Calls

132 calls:

Time	Variable		Point	Expression
3.0ms	w	@	0	(* (* r r) (+ (* (* w w) -1/4) (/ -3/2 (* r r))))
1.0ms	v	@	inf	(+ (/ 2 (* r r)) (* (* r (* r (* w w))) (+ -3/8 (* -1/8 v))))
1.0ms	v	@	0	(+ (/ 2 (* r r)) (* (* r (* r (* w w))) (+ -3/8 (* -1/8 v))))
0.0ms	r	@	inf	(+ (/ 2 (* r r)) (* (* r (* r (* w w))) (+ -3/8 (* -1/8 v))))
0.0ms	w	@	inf	(* (* r r) (+ (* (* w w) -1/4) (/ -3/2 (* r r))))

rewrite515.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3580×	`-lowering-.f32`
3580×	`-lowering-.f64`
3460×	`/-lowering-/.f32`
3460×	`/-lowering-/.f64`
2218×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	194
1	277	180
2	3023	169
0	9019	169

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 660

Calls

Call 1

Inputs
(+ (/ 2 (* r r)) (+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w)) -3/2))
(/ 2 (* r r))
(* r r)
(+ (/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w)) -3/2)
(* (* r r) (+ (* (* w w) -1/4) (/ -3/2 (* r r))))
(+ (* (* w w) -1/4) (/ -3/2 (* r r)))
(* (* w w) -1/4)
(+ (/ 2 (* r r)) (* (* r (* r (* w w))) (+ -3/8 (* -1/8 v))))
(* (* r (* r (* w w))) (+ -3/8 (* -1/8 v)))
(+ (/ 2 (* r r)) (/ (* (* (* r r) w) (* w (+ 3/8 (* -1/4 v)))) (+ v -1)))
(/ (* (* (* r r) w) (* w (+ 3/8 (* -1/4 v)))) (+ v -1))
(/ (* (+ 3/8 (* v -1/4)) r) (/ (/ (/ (+ v -1) r) w) w))
(/ (/ (+ v -1) r) w)
(/ (/ (/ (+ v -1) r) w) w)
(/ -3/2 (* r r))
(* r (* w w))
(* r (* r (* w w)))
(* (* (* r r) w) (* w (+ 3/8 (* -1/4 v))))
(* (* r r) w)

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 r (+.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)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (.f64 r (+.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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 r (+.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 (.f64 r (+.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)))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 r (+.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))))) #s(literal -3/2 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (.f64 r (+.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 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 r (+.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))))) #s(literal -3/2 binary64))) (/.f64 (.f64 (+.f64 (/.f64 (.f64 r (+.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)))) #s(literal -3/2 binary64)) (+.f64 (/.f64 (.f64 r (+.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)))) #s(literal -3/2 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 r (+.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))))) #s(literal -3/2 binary64))))
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(fma.f64 r (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (/.f64 r (+.f64 v #s(literal -1 binary64))) (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
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(fma.f64 (.f64 r (.f64 r w)) (.f64 #s(literal 3/8 binary64) w) (.f64 (.f64 r (.f64 r w)) (.f64 w (.f64 v #s(literal -1/4 binary64)))))
(fma.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 r (.f64 r (.f64 w w))) (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 r (.f64 w w)))))
(fma.f64 (.f64 #s(literal 3/8 binary64) w) (.f64 r (.f64 r w)) (.f64 (.f64 w (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r w))))
(/.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal 27/512 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64)))) (+.f64 #s(literal 9/64 binary64) (.f64 (.f64 v #s(literal -1/4 binary64)) (-.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))))
(/.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v v) #s(literal 1/16 binary64)))) (-.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal 27/512 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64))))) (neg.f64 (+.f64 #s(literal 9/64 binary64) (.f64 (.f64 v #s(literal -1/4 binary64)) (-.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v v) #s(literal 1/16 binary64))))) (neg.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))
(.f64 r (.f64 r (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))))
(.f64 r (.f64 (.f64 r w) (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))))
(.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))
(.f64 w (.f64 (.f64 r r) (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))))
(.f64 w (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (*.f64 r w))))
(.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
(.f64 (.f64 r (.f64 r w)) (.f64 w (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))))
(.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (*.f64 w w))))
(.f64 (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64)))) (.f64 r (*.f64 r w)))
(.f64 (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64)))) (*.f64 r r))
(.f64 (.f64 (.f64 r (.f64 r w)) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) w)
(.f64 (.f64 (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64)))) r) (*.f64 r w))
(.f64 (.f64 (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64)))) (*.f64 r r)) w)
(.f64 r (.f64 r w))
(.f64 (.f64 r r) w)
(.f64 w (.f64 r r))
(.f64 (.f64 r w) r)

simplify331.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3120×	`-lowering-.f32`
3120×	`-lowering-.f64`
2192×	`+-lowering-+.f64`
2192×	`+-lowering-+.f32`
1882×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	8142
1	862	6180
2	3392	5794
0	8301	5794

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))))) (* 3/8 (* (pow r 2) (pow w 2)))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) (+ 3/2 (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))))) (+ 3/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))))
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (+ 3/2 (* 1/4 (/ (* (pow r 2) (pow w 2)) v))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2)
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow w 2)))))
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(/ -3/2 (pow r 2))
(- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))
(- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))
(- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))
(* -1/4 (pow w 2))
(* -1 (* (pow w 2) (+ 1/4 (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))))
(* -1 (* (pow w 2) (+ 1/4 (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))))
(* -1 (* (pow w 2) (+ 1/4 (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))))
(* -1/4 (pow w 2))
(* -1 (* (pow w 2) (+ 1/4 (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))))
(* -1 (* (pow w 2) (+ 1/4 (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))))
(* -1 (* (pow w 2) (+ 1/4 (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))))
(/ -3/2 (pow r 2))
(/ (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) (pow r 2))
(/ (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) (pow r 2))
(/ (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) (pow r 2))
(* -1/4 (pow w 2))
(- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))
(- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))
(- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))
(* -1/4 (pow w 2))
(- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))
(- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))
(- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 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))
(/ 2 (pow r 2))
(/ (+ 2 (* (pow r 4) (* (pow w 2) (- (* -1/8 v) 3/8)))) (pow r 2))
(/ (+ 2 (* (pow r 4) (* (pow w 2) (- (* -1/8 v) 3/8)))) (pow r 2))
(/ (+ 2 (* (pow r 4) (* (pow w 2) (- (* -1/8 v) 3/8)))) (pow r 2))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (pow r 4)))))
(/ 2 (pow r 2))
(+ (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) (* 2 (/ 1 (pow r 2))))
(+ (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) (* 2 (/ 1 (pow r 2))))
(+ (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) (* 2 (/ 1 (pow r 2))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2)))))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))))
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(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (* (pow w 2) (+ 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) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)

Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))) (.f64 r r))
(/ (+ 2 (* (pow r 2) (- (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1)) 3/2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))) (.f64 r r))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (/.f64 (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (/.f64 (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (/.f64 (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r)))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(* (pow r 2) (- (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1)) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (/.f64 (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (/.f64 (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r)))))
(* (pow r 2) (- (+ (/ 2 (pow r 4)) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow r 2)))))
(.f64 (.f64 r r) (+.f64 (/.f64 (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.f64 v #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (.f64 r r)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (.f64 v #s(literal -1/8 binary64))))))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* 1/4 (* (pow r 2) (pow w 2))) (* v (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))))) 3/2)
(+.f64 #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)) (.f64 (.f64 (.f64 r r) (.f64 (.f64 (*.f64 w w) v) #s(literal -1/8 binary64))) (+.f64 v #s(literal 1 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 #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)) (.f64 v (+.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 (.f64 w w) v) #s(literal -1/8 binary64))) (+.f64 v #s(literal 1 binary64))) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/8 binary64))))))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -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 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal 1/8 binary64))) v) #s(literal -3/2 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))))))
(+.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 v)))))) (+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 r r) (+.f64 (/.f64 (.f64 w w) v) (/.f64 (.f64 w w) (*.f64 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 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 r r) (+.f64 (/.f64 (.f64 w w) v) (/.f64 (.f64 w w) (.f64 v (.f64 v v))))))) (+.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 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -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 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal 1/8 binary64))) v) #s(literal -3/2 binary64))))
(- (+ (* -1 (/ (- (+ (* -1 (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (* 1/4 (/ (* (pow r 2) (pow w 2)) v))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 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)))
(- (+ (* -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 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))) (+.f64 (/.f64 (+.f64 (/.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) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal 1/8 binary64)))) v) #s(literal -3/2 binary64)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(+.f64 (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(+.f64 (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(- (+ (* 2 (/ 1 (pow r 2))) (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))) 3/2)
(+.f64 (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- v 1))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(* (pow w 2) (- (+ (/ 2 (* (pow r 2) (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- v 1))) (* 3/2 (/ 1 (pow w 2)))))
(.f64 (.f64 w w) (+.f64 (/.f64 (.f64 (.f64 r r) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.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 (.f64 r r) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.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 (.f64 r r) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.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 r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(* (pow 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 (.f64 r r) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.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 (.f64 r r) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.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 (.f64 r r) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v))) (+.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)))))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
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(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ (- v 1) (* r (pow w 2)))
(/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (.f64 w w)))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(/ -3/2 (pow r 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 r r))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(.f64 (.f64 r r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(.f64 (.f64 r r) (.f64 (.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 r) (.f64 (.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 r) (.f64 (.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 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 (*.f64 w w) v)))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(.f64 v (+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (.f64 (.f64 r (.f64 r (*.f64 w w))) (/.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 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (.f64 (.f64 r (.f64 r (*.f64 w w))) (/.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 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (.f64 (.f64 r (.f64 r (*.f64 w w))) (/.f64 #s(literal 3/8 binary64) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 (*.f64 w w) v)))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(.f64 v (+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (.f64 (.f64 r (.f64 r (*.f64 w w))) (/.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 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (.f64 (.f64 r (.f64 r (*.f64 w w))) (/.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 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))) (.f64 (.f64 r (.f64 r (*.f64 w w))) (/.f64 #s(literal 3/8 binary64) v))))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))
(* (pow r 2) w)
(.f64 r (.f64 r w))

eval211.0ms (1.5%)

Compiler: Compiled 43245 to 2613 computations (94% saved)

prune188.0ms (1.4%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1346	6	1352
Fresh	6	10	16
Picked	3	2	5
Done	0	4	4
Total	1355	22	1377

Accuracy

100.0%

Counts

1377 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.6%	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
✓	43.0%	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
	51.6%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))) #s(literal 3/2 binary64))) (.f64 r (+.f64 (.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) #s(literal 1/16 binary64)) #s(literal -9/4 binary64)))) (.f64 r (+.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal 3/2 binary64))))
	51.2%	(/.f64 (+.f64 (.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (.f64 w w))))) #s(literal -9/4 binary64)) r) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal 3/2 binary64)) (/.f64 r #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w)))) #s(literal 3/2 binary64)) r))
✓	43.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.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 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (.f64 (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))) (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))))))
✓	72.7%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
	73.2%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 v (.f64 r w)) w)) #s(literal -3/2 binary64)))
	71.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 v (.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
	77.9%	(+.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 (neg.f64 (.f64 r (.f64 r w))) w)) #s(literal -3/2 binary64)))
✓	91.7%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64)))
✓	93.6%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
	61.4%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (.f64 w w) (.f64 r (+.f64 #s(literal -3/8 binary64) (.f64 v #s(literal -1/8 binary64))))) r))
	67.4%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
	67.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))
	67.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))
	60.0%	(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
	49.5%	(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
	44.8%	(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))
	32.5%	(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
	26.1%	(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
✓	18.2%	#s(literal -3/2 binary64)

Compiler

Compiled 1620 to 554 computations (65.8% saved)

regimes131.0ms (0.9%)

Counts

52 → 1

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r (.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal -3/2 binary64) (.f64 (.f64 (.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (.f64 w w) (.f64 r (+.f64 #s(literal -3/8 binary64) (.f64 v #s(literal -1/8 binary64))))) r))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (.f64 w w))))) #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 (neg.f64 (.f64 r (.f64 r w))) w)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (neg.f64 (.f64 r w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 r (/.f64 (.f64 r (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 r (.f64 (-.f64 #s(literal 0 binary64) (.f64 r (.f64 w w))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (/.f64 (.f64 w w) v)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (.f64 w w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 v (.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 v (.f64 r w)) w)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (.f64 r (.f64 w (.f64 r w)))) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 r (.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (/.f64 (.f64 r w) (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 r (.f64 w (.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 (.f64 r w) (.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 (/.f64 (+.f64 v #s(literal -1 binary64)) r) w) w)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 r (.f64 w (*.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))) #s(literal 3/2 binary64))) (.f64 r (+.f64 (.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) #s(literal 1/16 binary64)) #s(literal -9/4 binary64)))) (.f64 r (+.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (.f64 (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))))))) (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64))))))))))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (.f64 w w))))) #s(literal -9/4 binary64)) r) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal 3/2 binary64)) (/.f64 r #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (+.f64 v #s(literal -1 binary64)) (.f64 (.f64 r r) (*.f64 w w)))) #s(literal 3/2 binary64)) r))

Outputs

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))

Calls

6 calls:

44.0ms	w
19.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
18.0ms	(*.f64 w w)
16.0ms	v
15.0ms	r

Results

Accuracy	Segments	Branch
99.8%	1	`v`
99.8%	1	`w`
99.8%	1	`r`
99.8%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
99.8%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
99.8%	1	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes63.0ms (0.4%)

Counts

44 → 1

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r (.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal -3/2 binary64) (.f64 (.f64 (.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (.f64 w w) (.f64 r (+.f64 #s(literal -3/8 binary64) (.f64 v #s(literal -1/8 binary64))))) r))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (.f64 w w))))) #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 (neg.f64 (.f64 r (.f64 r w))) w)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (neg.f64 (.f64 r w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 r (/.f64 (.f64 r (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 r (.f64 (-.f64 #s(literal 0 binary64) (.f64 r (.f64 w w))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (/.f64 (.f64 w w) v)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (.f64 w w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 v (.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 v (.f64 r w)) w)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (.f64 r (.f64 w (.f64 r w)))) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 r (.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (/.f64 (.f64 r w) (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 r (.f64 w (.f64 r w))) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))

Outputs

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (/.f64 (*.f64 r w) (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))

Calls

4 calls:

18.0ms	w
14.0ms	v
14.0ms	r
11.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
99.8%	1	`v`
99.8%	1	`w`
99.8%	1	`r`
99.8%	1	`(*.f64 w w)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (0.5%)

Counts

42 → 3

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r (.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal -3/2 binary64) (.f64 (.f64 (.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (.f64 w w) (.f64 r (+.f64 #s(literal -3/8 binary64) (.f64 v #s(literal -1/8 binary64))))) r))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (.f64 w w))))) #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 (neg.f64 (.f64 r (.f64 r w))) w)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (neg.f64 (.f64 r w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 r (/.f64 (.f64 r (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 r (.f64 (-.f64 #s(literal 0 binary64) (.f64 r (.f64 w w))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (/.f64 (.f64 w w) v)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r r) (-.f64 #s(literal 0 binary64) (.f64 w w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 v (.f64 r (*.f64 w w)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) r) (/.f64 (/.f64 v (.f64 r w)) w)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 (.f64 r r) w) (.f64 w (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/4 binary64) v)) (.f64 r (.f64 w (.f64 r w)))) (+.f64 v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 r (.f64 (/.f64 (.f64 r (.f64 w w)) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))))) #s(literal -3/2 binary64)))

Outputs

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 r w) (neg.f64 (*.f64 r w)))) #s(literal -3/2 binary64)))

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))

Calls

4 calls:

17.0ms	w
15.0ms	v
14.0ms	r
11.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
99.6%	3	`v`
97.5%	2	`w`
97.2%	2	`r`
97.5%	2	`(*.f64 w w)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes45.0ms (0.3%)

Counts

31 → 3

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r (.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal -3/2 binary64) (.f64 (.f64 (.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (.f64 w w) (.f64 r (+.f64 #s(literal -3/8 binary64) (.f64 v #s(literal -1/8 binary64))))) r))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (.f64 w w))))) #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 (neg.f64 (.f64 r (.f64 r w))) w)) #s(literal -3/2 binary64)))

Outputs

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (neg.f64 (*.f64 r (*.f64 r w))) w)) #s(literal -3/2 binary64)))

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))

Calls

4 calls:

14.0ms	w
9.0ms	v
9.0ms	r
9.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
93.6%	1	`r`
93.6%	1	`w`
93.6%	1	`(*.f64 w w)`
98.0%	3	`v`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes67.0ms (0.5%)

Counts

30 → 1

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r (.f64 r (*.f64 w w))) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 r w) (*.f64 #s(literal -1/4 binary64) w)) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 (.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal -3/2 binary64) (.f64 (.f64 (.f64 (*.f64 r r) #s(literal 1/4 binary64)) w) w)))
(/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))) (+.f64 v #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/8 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (.f64 w w) (.f64 r (+.f64 #s(literal -3/8 binary64) (.f64 v #s(literal -1/8 binary64))))) r))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 r (.f64 w w))))) #s(literal -3/2 binary64))

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))

Calls

4 calls:

38.0ms	w
10.0ms	v
9.0ms	r
8.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
93.6%	1	`w`
93.6%	1	`r`
93.6%	1	`(*.f64 w w)`
93.6%	1	`v`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes45.0ms (0.3%)

Counts

20 → 3

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))

Outputs

(/.f64 (/.f64 #s(literal 2 binary64) r) r)

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))

(+.f64 (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))

Calls

4 calls:

23.0ms	w
6.0ms	v
6.0ms	r
6.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
83.0%	2	`v`
84.3%	2	`w`
92.3%	3	`r`
84.3%	2	`(*.f64 w w)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64))))

Outputs

(/.f64 (/.f64 #s(literal 2 binary64) r) r)

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))

(+.f64 (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
91.8%	3	`r`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64))))

Outputs

(/.f64 (/.f64 #s(literal 2 binary64) r) r)

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))))

(+.f64 (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`r`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w v)) #s(literal 1/4 binary64)))
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 r r) #s(literal -3/2 binary64))) (*.f64 r r))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (.f64 r #s(literal -3/2 binary64)))) r) r)
(.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -3/8 binary64) (*.f64 v #s(literal -1/8 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 r (*.f64 r #s(literal -3/2 binary64)))) r) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) v)))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 (.f64 w w) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -3/2 binary64) r) r)))

Outputs
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
86.0%	2	`r`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w 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 w w) #s(literal -1/4 binary64)))

Calls

4 calls:

5.0ms	(*.f64 w w)
3.0ms	w
3.0ms	v
3.0ms	r

Results

Accuracy	Segments	Branch
60.0%	1	`v`
72.2%	2	`w`
72.2%	2	`(*.f64 w w)`
72.1%	2	`r`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))

Calls

2 calls:

4.0ms	r
3.0ms	w

Results

Accuracy	Segments	Branch
60.0%	1	`r`
60.0%	1	`w`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))

Outputs
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
#s(literal -3/2 binary64)

Calls

3 calls:

2.0ms	r
2.0ms	w
2.0ms	v

Results

Accuracy	Segments	Branch
46.6%	3	`w`
43.0%	1	`v`
59.7%	2	`r`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))

Outputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal -3/2 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
59.7%	2	`r`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -3/2 binary64)

Outputs
#s(literal -3/2 binary64)

Calls

3 calls:

2.0ms	r
1.0ms	w
1.0ms	v

Results

Accuracy	Segments	Branch
18.2%	1	`v`
18.2%	1	`w`
18.2%	1	`r`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch80.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	8.406990145325643e-10	784401216413059200.0
41.0ms	-20386616985450.17	-26141142.614381462

Results

60.0ms

320×

valid

Compiler

Compiled 978 to 667 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 18.0ms (38.7% of total)

ival-mult: 17.0ms (36.6% of total)

ival-sub: 6.0ms (12.9% of total)

ival-div: 4.0ms (8.6% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

bsearch75.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
17.0ms	1.0636028468179113e-34	7.99592972375766e-33
53.0ms	-20386616985450.17	-26141142.614381462

Results

62.0ms

224×

valid

Compiler

Compiled 696 to 489 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 42.0ms (79.5% of total)

ival-div: 4.0ms (7.6% of total)

ival-sub: 4.0ms (7.6% of total)

ival-add: 1.0ms (1.9% of total)

const: 1.0ms (1.9% of total)

backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.6867903553105023e+62	2.858645520460675e+62
21.0ms	9.304459859817458e-113	5.376459557545162e-111

Results

24.0ms

176×

valid

Compiler

Compiled 392 to 274 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (52.8% of total)

ival-sub: 3.0ms (19.8% of total)

ival-div: 2.0ms (13.2% of total)

ival-add: 1.0ms (6.6% of total)

const: 1.0ms (6.6% of total)

backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.000454395305627129	817.2419931466438
20.0ms	9.304459859817458e-113	5.376459557545162e-111

Results

40.0ms

256×

valid

Compiler

Compiled 540 to 367 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 17.0ms (61.6% of total)

ival-sub: 5.0ms (18.1% of total)

ival-div: 3.0ms (10.9% of total)

ival-add: 1.0ms (3.6% of total)

const: 1.0ms (3.6% of total)

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
25.0ms	0.000454395305627129	817.2419931466438
3.0ms	9.304459859817458e-113	5.376459557545162e-111

Results

22.0ms

160×

valid

Compiler

Compiled 372 to 253 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (50.8% of total)

ival-sub: 3.0ms (21.8% of total)

ival-div: 2.0ms (14.5% of total)

ival-add: 1.0ms (7.3% of total)

const: 1.0ms (7.3% of total)

backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	3.455348284159654e-78	2.7338107209319774e-70

Results

27.0ms

144×

valid

Compiler

Compiled 254 to 189 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 15.0ms (73% of total)

ival-sub: 3.0ms (14.6% of total)

ival-div: 2.0ms (9.7% of total)

ival-add: 1.0ms (4.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.786932551307424e+152	1.6663113995147026e+161

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.000454395305627129	817.2419931466438

Results

23.0ms

144×

valid

Compiler

Compiled 164 to 135 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 11.0ms (66.5% of total)

ival-sub: 3.0ms (18.1% of total)

ival-div: 2.0ms (12.1% of total)

ival-add: 1.0ms (6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	0.000454395305627129	817.2419931466438

Results

25.0ms

144×

valid

Compiler

Compiled 164 to 135 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 7.0ms (37.1% of total)

ival-mult: 6.0ms (31.8% of total)

ival-sub: 4.0ms (21.2% of total)

ival-add: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

68×	`*-commutative_binary64`
62×	`+-commutative_binary64`
30×	`neg-sub0_binary64`
30×	`neg-mul-1_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	352
1	150	352
2	179	350
3	208	350
4	222	350
5	238	350
6	247	350
7	253	350
8	255	350

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 (.f64 r w) (.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (/.f64 (.f64 r w) (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
(if (<=.f64 v #s(literal -26500000 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64))) (if (<=.f64 v #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (neg.f64 (.f64 r w)))) #s(literal -3/2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))))
(if (<=.f64 v #s(literal -28000000 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64))) (if (<=.f64 v #s(literal 4384504911992709/730750818665451459101842416358141509827966271488 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 (neg.f64 (.f64 r (.f64 r w))) w)) #s(literal -3/2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 419691213465553/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 259999999999999983986159791827325143293975763964496346236321792 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 2369224592144251/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))) (+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 4332296397063773/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 5494391545392005/4503599627370496 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))) (+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 4196164807207575/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64)))
(if (<=.f64 (.f64 w w) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)

Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (/.f64 (.f64 (.f64 r w) (.f64 r w)) (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (/.f64 (.f64 r w) (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (/.f64 (.f64 r w) (+.f64 v #s(literal -1 binary64)))))))
(if (<=.f64 v #s(literal -26500000 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64))) (if (<=.f64 v #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (neg.f64 (.f64 r w)))) #s(literal -3/2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))))
(if (<=.f64 v #s(literal -26500000 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 r w) (.f64 #s(literal -1/4 binary64) (.f64 r w))))) (if (<=.f64 v #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 r w) (.f64 r w))))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 r w) (.f64 #s(literal -1/4 binary64) (.f64 r w)))))))
(if (<=.f64 v #s(literal -28000000 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64))) (if (<=.f64 v #s(literal 4384504911992709/730750818665451459101842416358141509827966271488 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 (neg.f64 (.f64 r (.f64 r w))) w)) #s(literal -3/2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))))
(if (<=.f64 v #s(literal -28000000 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 r w) (.f64 #s(literal -1/4 binary64) (.f64 r w))))) (if (<=.f64 v #s(literal 4384504911992709/730750818665451459101842416358141509827966271488 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal -3/2 binary64) (.f64 (+.f64 #s(literal 3/8 binary64) (.f64 v #s(literal -1/4 binary64))) (.f64 w (.f64 r (.f64 r w)))))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 r w) (.f64 #s(literal -1/4 binary64) (.f64 r w)))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r w) (.f64 (*.f64 r w) #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 r w) (.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(if (<=.f64 r #s(literal 419691213465553/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 259999999999999983986159791827325143293975763964496346236321792 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 419691213465553/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 259999999999999983986159791827325143293975763964496346236321792 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) (+.f64 #s(literal -3/2 binary64) (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (*.f64 w w)))))))
(if (<=.f64 r #s(literal 2369224592144251/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))) (+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 2369224592144251/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (*.f64 w w)))))))
(if (<=.f64 r #s(literal 4332296397063773/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 5494391545392005/4503599627370496 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))) (+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (*.f64 w w)))) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 4332296397063773/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 5494391545392005/4503599627370496 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (*.f64 w w)))))))
(if (<=.f64 r #s(literal 4196164807207575/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w)))) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 4196164807207575/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w))))))
(if (<=.f64 (.f64 w w) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64))))
(if (<=.f64 (.f64 w w) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)

soundness3.4s (24.4%)

Rules

4140×	`-lowering-.f32`
4140×	`-lowering-.f64`
3996×	`-lowering-.f32`
3996×	`-lowering-.f64`
3824×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	194
1	277	180
2	3023	169
0	9019	169
0	267	10177
1	916	7518
2	3646	6982
0	8401	6982
0	189	3679
1	655	2634
2	2597	2425
0	8271	2425
0	22	26
1	60	25
2	177	21
3	778	19
4	4665	19
0	8229	19
0	174	5075
1	589	3912
2	2204	3578
0	8810	3578
0	36	206
1	259	191
2	3367	189
0	8668	189
0	20	82
1	111	64
2	1146	64
0	8340	64

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1245 to 698 computations (43.9% saved)

preprocess79.0ms (0.6%)

Remove

(abs r)

(abs w)

Compiler

Compiled 1170 to 452 computations (61.4% saved)

Iter	Nodes	Cost
0	94	352
1	150	352
2	179	350
3	208	350
4	222	350
5	238	350
6	247	350
7	253	350
8	255	350

Iter	Nodes	Cost
0	94	352
1	150	352
2	179	350
3	208	350
4	222	350
5	238	350
6	247	350
7	253	350
8	255	350

analyze223.0ms (1.6%)

sample2.7s (19.7%)

preprocess284.0ms (2%)

explain282.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify199.0ms (1.4%)

localize93.0ms (0.7%)

series22.0ms (0.2%)

rewrite348.0ms (2.5%)

simplify210.0ms (1.5%)

eval78.0ms (0.6%)

prune82.0ms (0.6%)

simplify202.0ms (1.4%)

localize251.0ms (1.8%)

series30.0ms (0.2%)

rewrite623.0ms (4.5%)

simplify383.0ms (2.8%)

eval214.0ms (1.5%)

prune191.0ms (1.4%)

simplify139.0ms (1%)

localize183.0ms (1.3%)

series17.0ms (0.1%)

rewrite332.0ms (2.4%)

simplify294.0ms (2.1%)

eval184.0ms (1.3%)

prune178.0ms (1.3%)

simplify141.0ms (1%)

localize369.0ms (2.7%)

series26.0ms (0.2%)

rewrite515.0ms (3.7%)

simplify331.0ms (2.4%)

eval211.0ms (1.5%)

prune188.0ms (1.4%)

regimes131.0ms (0.9%)

regimes63.0ms (0.4%)

regimes63.0ms (0.5%)

regimes45.0ms (0.3%)

regimes67.0ms (0.5%)

regimes45.0ms (0.3%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

regimes15.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch80.0ms (0.6%)

bsearch75.0ms (0.5%)

bsearch38.0ms (0.3%)

bsearch56.0ms (0.4%)

bsearch33.0ms (0.2%)

bsearch35.0ms (0.2%)

bsearch0.0ms (0%)

bsearch30.0ms (0.2%)

bsearch33.0ms (0.2%)

simplify26.0ms (0.2%)

soundness3.4s (24.4%)

preprocess79.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	94	352
1	150	352
2	179	350
3	208	350
4	222	350
5	238	350
6	247	350
7	253	350
8	255	350