Metrics for Rosa's TurbineBenchmark

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze145.0ms (1%)

Memory

-1.2MiB live, 191.5MiB allocated

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 31 to 24 computations (22.6% saved)

sample1.9s (13.2%)

Memory

7.2MiB live, 2 309.0MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 594.0ms (55.8% of total)

ival-sub: 239.0ms (22.4% of total)

ival-div: 122.0ms (11.5% of total)

ival-add: 82.0ms (7.7% of total)

exact: 18.0ms (1.7% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain387.0ms (2.7%)

Memory

11.6MiB live, 503.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
40	0	-	4	(9.68436095152229e+281 3.849881065506755e-160 2004048289264524.0)	`(.f64 (.f64 w w) r)`
18	0	-	3	(-4.2340778256739235e+143 4.09984431567366e-86 -1.7812623155498714e-73)	`(.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))`
15	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))`
13	0	-	4	(1.792755059556609e-246 1.3268206517241225e-193 -1.5185309442477925e+67)	`(.f64 (.f64 (*.f64 w w) r) r)`
6	3	(-3.3153701138821024e+302 -1.7049360627600875e+142 -4.971792578509191e+161)	0	-	`(/.f64 #s(literal 2 binary64) (*.f64 r r))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 9/2 binary64)`
0	0	-	0	-	`#s(literal 1/8 binary64)`
0	0	-	0	-	`v`
0	0	-	0	-	`(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))`
0	0	-	0	-	`(*.f64 w w)`
0	0	-	0	-	`(*.f64 r r)`
0	0	-	0	-	`(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 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 1 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 2 binary64) v)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`w`
0	0	-	0	-	`r`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))`	o/n	15	0
↳	`(.f64 (.f64 w w) r)`	overflow	66
↳	`(*.f64 w w)`	overflow	66
↳	`(.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))`	overflow	87
↳	`(.f64 (.f64 (*.f64 w w) r) r)`	overflow	72
`*.f64`	`(.f64 (.f64 w w) r)`	*no**	13	0
`*.f64`	`(.f64 (.f64 w w) r)`	*nu**	9	0
`*.f64`	`(.f64 (.f64 (*.f64 w w) r) r)`	*no**	2	0

Confusion

	Predicted +	Predicted -
+	35	1
-	2	218

Precision

0.9459459459459459

Recall

0.9722222222222222

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	1
-	2	0	218

Precision?

0.9459459459459459

Recall?

0.9722222222222222

Freqs

test

number	freq
0	219
1	35
2	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

120.0ms

512×

valid

Compiler

Compiled 328 to 70 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 74.0ms (76.8% of total)

ival-div: 9.0ms (9.3% of total)

ival-sub: 9.0ms (9.3% of total)

ival-add: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess367.0ms (2.6%)

Memory

7.3MiB live, 393.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 612×	`lower-fma.f64`
16 612×	`lower-fma.f32`
6 932×	`lower-*.f32`
6 918×	`lower-*.f64`
1 710×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	268
1	270	264
2	1038	246
3	3557	243
4	7112	243
0	22	29
0	36	29
1	72	29
2	184	25
3	713	25
4	3939	25
5	7914	25
0	8146	23

Stop Event

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

Calls

Call 1

Inputs

(-.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))

Outputs

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

Symmetry

(abs r)

(abs w)

Compiler

Compiled 32 to 22 computations (31.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Status

Accuracy

Program

▶

86.7%

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify494.0ms (3.4%)

Memory

-13.9MiB live, 427.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
cost-diff	128	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
cost-diff	192	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff	320	(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))

Rules

16 612×	`lower-fma.f64`
16 612×	`lower-fma.f32`
6 932×	`lower-*.f32`
6 918×	`lower-*.f64`
1 710×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	146
0	36	146
1	72	146
2	184	134
3	713	134
4	3939	134
5	7914	134
0	8146	126

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (1.1%)

Memory

-15.9MiB live, 105.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.5576219816831345	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	3.5497929995615674	(/.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))
accuracy	3.805739024345043	(.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))
accuracy	8.389048161582132	(.f64 (.f64 w w) r)

Samples

78.0ms

256×

valid

Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-sub: 52.0ms (78.2% of total)

ival-mult: 10.0ms (15% of total)

ival-div: 3.0ms (4.5% of total)

ival-add: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series48.0ms (0.3%)

Memory

8.8MiB live, 46.7MiB allocated

Counts

8 → 216

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))>
#<alt (-.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))>
#<alt (-.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)))>
#<alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))>
#<alt (.f64 (.f64 w w) r)>
#<alt (.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))>
#<alt (/.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))>
#<alt (.f64 (.f64 (*.f64 w w) r) r)>

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

Calls

54 calls:

Time	Variable		Point	Expression
26.0ms	w	@	inf	(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
1.0ms	r	@	0	(* (* w w) r)
1.0ms	w	@	0	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms	v	@	0	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms	r	@	0	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)

simplify376.0ms (2.6%)

Memory

33.7MiB live, 542.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 382×	`lower-fma.f64`
14 382×	`lower-fma.f32`
5 144×	`lower-+.f64`
5 144×	`lower-+.f32`
4 118×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	4018
1	745	3856
2	2574	3578
0	8209	3390

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite398.0ms (2.8%)

Memory

-45.7MiB live, 447.9MiB allocated

Rules

6 012×	`lower-*.f32`
5 998×	`lower-*.f64`
5 632×	`lower-fma.f64`
5 632×	`lower-fma.f32`
4 766×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	114
0	36	114
1	149	104
2	1353	104
0	8965	94

Stop Event

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

Counts

8 → 399

Calls

Call 1

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

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

eval194.0ms (1.4%)

Memory: 36.5MiB live, 155.5MiB allocated
Compiler: Compiled 29 622 to 2 011 computations (93.2% saved)

prune220.0ms (1.5%)

Memory

-16.4MiB live, 226.0MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	598	17	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	599	17	616

Accuracy

100.0%

Counts

616 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
	28.3%	(fma.f64 (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w)))) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(literal -9/2 binary64))
▶	63.0%	(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
	57.9%	(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 r (.f64 r r)) (.f64 r (.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
	28.3%	(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))))))
	93.9%	(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
▶	98.2%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	43.1%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	79.4%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal -1/4 binary64) (.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
▶	39.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
▶	75.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
▶	76.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
	76.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	85.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	57.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
	56.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 r (.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (.f64 w w))))))
	38.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (.f64 (.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))))

Compiler

Compiled 1 174 to 616 computations (47.5% saved)

simplify391.0ms (2.7%)

Memory

-16.2MiB live, 704.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (*.f64 r r)))
cost-diff	0	(-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (*.f64 r r))))
cost-diff	192	(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
cost-diff	320	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 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)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #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)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 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	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	192	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
cost-diff	320	(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))

Rules

26 346×	`lower-fma.f32`
26 334×	`lower-fma.f64`
6 988×	`lower-*.f32`
6 966×	`lower-*.f64`
3 358×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	538
0	103	532
1	228	517
2	586	504
3	2607	504
4	6994	504
0	8261	491

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (.f64 r (.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 w (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(/.f64 (.f64 r (.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
(.f64 w (.f64 r w))
w
(*.f64 r w)
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (.f64 r (.f64 (.f64 r w) #s(literal -3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 w (.f64 r (.f64 (.f64 r w) #s(literal -3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
(fma.f64 w (.f64 r (.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(*.f64 w w)
w
(.f64 (.f64 r r) #s(literal -3/8 binary64))
(.f64 r (.f64 r #s(literal -3/8 binary64)))
#s(literal -3/8 binary64)
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 r (.f64 w (.f64 r w))) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 r (.f64 w (.f64 r w))) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 r (.f64 w (*.f64 r w))) #s(literal -3/2 binary64))
(.f64 r (.f64 r (*.f64 w w)))
(.f64 r (.f64 w (*.f64 r w)))
(.f64 r (.f64 w w))
(.f64 w (.f64 r w))
(*.f64 w w)
w
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
#s(literal -3/2 binary64)
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(+.f64 (fma.f64 (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal -9/2 binary64)) (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -4 binary64) (.f64 r (.f64 r (.f64 r r))))) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (*.f64 r r))))
(+.f64 #s(literal 9 binary64) (/.f64 #s(literal -4 binary64) (.f64 r (.f64 r (*.f64 r r)))))
#s(literal 9 binary64)
(/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (*.f64 r r)))
(/.f64 #s(literal 4 binary64) (.f64 r (.f64 r (*.f64 r r))))
#s(literal 4 binary64)
(.f64 (.f64 r r) (*.f64 r r))
(.f64 r (.f64 r (*.f64 r r)))
(*.f64 r r)
r
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(literal 1 binary64)
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))
(fma.f64 (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (*.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal -9/2 binary64))
#s(literal -1/8 binary64)
(/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (.f64 (.f64 r r) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w))))
(.f64 (.f64 r r) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 w w)))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(.f64 r (.f64 w (*.f64 r w)))
(.f64 w (.f64 r w))
w
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal -9/2 binary64)

localize169.0ms (1.2%)

Memory

33.6MiB live, 468.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.5576219816831345	(.f64 r (.f64 w (*.f64 r w)))
accuracy	3.5480135977343386	(/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v))
accuracy	3.818358725777043	(.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w))))
accuracy	16.390606248891956	(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
accuracy	0.8634444628343253	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.5576219816831345	(.f64 r (.f64 r (*.f64 w w)))
accuracy	8.389048161582132	(.f64 r (.f64 w w))
accuracy	12.68452599617245	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
accuracy	0.13671875	(.f64 (.f64 r r) #s(literal -3/8 binary64))
accuracy	0.8634444628343253	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	5.568280037295217	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
accuracy	11.747208951857555	(fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
accuracy	0	(*.f64 r r)
accuracy	0.8634444628343253	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	38.53140182064602	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy	0.0625	(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
accuracy	0.1328125	(.f64 w (.f64 r w))
accuracy	0.8634444628343253	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	6.149559776909243	(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))

Samples

91.0ms

256×

valid

Compiler

Compiled 514 to 65 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 32.0ms (50.5% of total)

ival-div: 12.0ms (18.9% of total)

ival-add: 9.0ms (14.2% of total)

ival-sub: 8.0ms (12.6% of total)

exact: 1.0ms (1.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory

6.2MiB live, 83.0MiB allocated

Counts

24 → 624

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))>
#<alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))>
#<alt (*.f64 r r)>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))>
#<alt (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))>
#<alt (fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))>
#<alt (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (*.f64 r r))))>
#<alt (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (*.f64 r r)))>
#<alt (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))>
#<alt (.f64 w (.f64 r w))>
#<alt (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))>
#<alt (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))>
#<alt (.f64 (.f64 r r) #s(literal -3/8 binary64))>
#<alt (.f64 r (.f64 w w))>
#<alt (.f64 r (.f64 r (*.f64 w w)))>
#<alt (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w))))>
#<alt (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v))>
#<alt (.f64 r (.f64 w (*.f64 r w)))>

Outputs
#<alt 3/8>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (* -1/4 v)>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* -1/4 v)>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
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#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2)))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2))))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2)))))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2)))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2)))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2)))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2)))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 9 (/ 1 (- 3 (* 2 (/ 1 (pow r 2))))))) (+ 9/2 (* 4 (/ 1 (* (pow r 4) (- 3 (* 2 (/ 1 (pow r 2)))))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 9 (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))) (+ (* 9/2 (/ 1 (pow w 2))) (/ 4 (* (pow r 4) (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))))))>
#<alt (* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 9 (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))) (+ (* 9/2 (/ 1 (pow w 2))) (/ 4 (* (pow r 4) (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))))))>
#<alt (* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 9 (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))) (+ (* 9/2 (/ 1 (pow w 2))) (/ 4 (* (pow r 4) (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 9 (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))) (+ (* 9/2 (/ 1 (pow w 2))) (/ 4 (* (pow r 4) (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))))))>
#<alt (* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 9 (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))) (+ (* 9/2 (/ 1 (pow w 2))) (/ 4 (* (pow r 4) (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))))))>
#<alt (* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 9 (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))) (+ (* 9/2 (/ 1 (pow w 2))) (/ 4 (* (pow r 4) (* (pow w 2) (- 3 (* 2 (/ 1 (pow r 2))))))))))>
#<alt (/ -4 (pow r 4))>
#<alt (/ (- (* 9 (pow r 4)) 4) (pow r 4))>
#<alt (/ (- (* 9 (pow r 4)) 4) (pow r 4))>
#<alt (/ (- (* 9 (pow r 4)) 4) (pow r 4))>
#<alt 9>
#<alt (- 9 (* 4 (/ 1 (pow r 4))))>
#<alt (- 9 (* 4 (/ 1 (pow r 4))))>
#<alt (- 9 (* 4 (/ 1 (pow r 4))))>
#<alt 9>
#<alt (- 9 (* 4 (/ 1 (pow r 4))))>
#<alt (- 9 (* 4 (/ 1 (pow r 4))))>
#<alt (- 9 (* 4 (/ 1 (pow r 4))))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
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#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))>
#<alt (+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))>
#<alt (+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))>
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)>
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v)>
#<alt (/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v)>
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
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#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
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#<alt (* r (pow w 2))>
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#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ 9/2 (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))>
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))))>
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt 9/2>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt 9/2>
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#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
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#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
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#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt -3/2>
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#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* r (pow w 2))>
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#<alt (* r (pow w 2))>
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#<alt (* r (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
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#<alt (* (pow r 2) (pow w 2))>
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#<alt (* (pow r 2) (pow w 2))>
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#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* 3 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -2 (* (pow r 2) (* v (pow w 2)))) (* 3 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -2 (* (pow r 2) (* v (pow w 2)))) (* 3 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -2 (* (pow r 2) (* v (pow w 2)))) (* 3 (* (pow r 2) (pow w 2))))>
#<alt (* -2 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (+ (* -2 (* (pow r 2) (pow w 2))) (* 3 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -2 (* (pow r 2) (pow w 2))) (* 3 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -2 (* (pow r 2) (pow w 2))) (* 3 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* -2 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2))))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))>
#<alt (* 3 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 3 (* (pow r 2) (pow w 2))) (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* 3 (* (pow r 2) (pow w 2))) (* v (- (+ (* -2 (* (pow r 2) (pow w 2))) (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -3 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* 3 (* (pow r 2) (pow w 2))) (* v (- (+ (* -2 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* -1 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (* -3 (* (pow r 2) (pow w 2))))))>
#<alt (* 2 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2)))) (* -2 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (* (pow r 2) (pow w 2))))) (+ (* -2 (/ (* (pow r 2) (pow w 2)) v)) (* -2 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (* (pow r 2) (pow w 2))))) (+ (* -2 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -2 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* -1 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))))))>
#<alt (* 2 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>

Calls

156 calls:

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

simplify380.0ms (2.7%)

Memory

1.4MiB live, 496.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24 258×	`lower-fma.f64`
24 258×	`lower-fma.f32`
5 020×	`lower-*.f64`
5 020×	`lower-*.f32`
3 990×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	472	12254
1	1514	11262
2	5030	10881
0	8796	10209

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

Inputs
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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-9/2
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(- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2)))) (* -2 (/ (* (pow r 2) (pow w 2)) v)))
(- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (* (pow r 2) (pow w 2))))) (+ (* -2 (/ (* (pow r 2) (pow w 2)) v)) (* -2 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))
(- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (* (pow r 2) (pow w 2))))) (+ (* -2 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -2 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* -1 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))))))
(* 2 (* (pow r 2) (pow w 2)))
(+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))

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

rewrite345.0ms (2.4%)

Memory

-9.5MiB live, 467.7MiB allocated

Rules

5 164×	`lower-fma.f32`
5 152×	`lower-fma.f64`
4 768×	`lower-*.f32`
4 746×	`lower-*.f64`
3 430×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	391
0	103	368
1	474	326
2	4486	326
0	8740	304

Stop Event

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

Counts

24 → 752

Calls

Call 1

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

Outputs
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 v #s(literal 1/8 binary64)) #s(literal 3/8 binary64))
(fma.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 3/8 binary64))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) v) #s(literal -2 binary64) #s(literal 3/8 binary64))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)) (fma.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 v #s(literal -1/4 binary64)) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64)) (-.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))
(/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64)))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))))) #s(literal -9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (-.f64 (neg.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))))) #s(literal 9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))))))
(+.f64 (fma.f64 (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(+.f64 (neg.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))))) (+.f64 #s(literal -9/2 binary64) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) #s(literal 3 binary64))
(+.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(literal -9/2 binary64)) (neg.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (-.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))) #s(literal -9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)))) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)) (fma.f64 (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)))))
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(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 r (.f64 w w))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 r (.f64 w w))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))))
(.f64 (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (.f64 r (.f64 r (.f64 w w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 (.f64 r (.f64 r (.f64 w w))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(.f64 (neg.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 r (*.f64 w w))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 r (*.f64 w w)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 r (*.f64 w w))))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) (.f64 (.f64 r (*.f64 w w)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) (/.f64 (.f64 r (.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w w))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) (.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))))
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 w w)))
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 r (.f64 w w)))) (-.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 r (.f64 w w)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (+.f64 v #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 r w)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 r) (*.f64 (log.f64 w) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 r))))
(pow.f64 (*.f64 r w) #s(literal 2 binary64))
(.f64 r (.f64 r (*.f64 w w)))
(.f64 (.f64 r r) (*.f64 w w))
(.f64 w (.f64 w (*.f64 r r)))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 w (.f64 (*.f64 r w) r))
(.f64 (.f64 r w) (*.f64 r w))
(.f64 (.f64 r (*.f64 w w)) r)
(.f64 (.f64 w w) (*.f64 r r))
(.f64 (.f64 r (*.f64 r w)) w)
(.f64 (.f64 (*.f64 r r) w) w)
(.f64 (.f64 (*.f64 r w) r) w)

eval216.0ms (1.5%)

Memory: 61.5MiB live, 357.7MiB allocated
Compiler: Compiled 65 897 to 2 578 computations (96.1% saved)

prune192.0ms (1.3%)

Memory

-25.4MiB live, 337.3MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 646	19	1 665
Fresh	8	4	12
Picked	3	2	5
Done	0	0	0
Total	1 657	25	1 682

Accuracy

100.0%

Counts

1 682 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -4 binary64) (.f64 r (.f64 r (.f64 r r))))) (fma.f64 (/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)))
	27.5%	(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(approx (+ (* -1/8 (/ (* (+ (* v -2) 3) (* r (* w (* r w)))) (- 1 v))) -9/2) #s(literal -9/2 binary64)))
	28.3%	(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))))))
▶	98.2%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 #s(approx ( 1/8 (+ (* v -2) 3)) (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
▶	96.2%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
	43.1%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	59.6%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	84.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w w)) (.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
▶	84.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	91.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	44.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) (*.f64 r r))))
	51.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) #s(literal -9/4 binary64)) r (.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (.f64 (fma.f64 r (.f64 (.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) r)))
	39.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓	39.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
	80.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
✓	76.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
	76.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	64.8%	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))))
▶	57.2%	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
	85.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	42.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
	52.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (.f64 (.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 r (.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))))
	32.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	35.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64))))
▶	26.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))

Compiler

Compiled 1 325 to 706 computations (46.7% saved)

simplify576.0ms (4%)

Memory

30.2MiB live, 410.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	192	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
cost-diff	0	(.f64 r (.f64 w w))
cost-diff	0	(.f64 r (.f64 r (*.f64 w w)))
cost-diff	0	(fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
cost-diff	0	(*.f64 r r)
cost-diff	0	(.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
cost-diff	0	#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	192	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 #s(approx ( 1/8 (+ (* v -2) 3)) (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
cost-diff	832	(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))

Rules

21 826×	`lower-fma.f32`
21 818×	`lower-fma.f64`
7 106×	`lower-*.f32`
7 080×	`lower-*.f64`
2 302×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	583
0	113	590
1	257	559
2	736	554
3	3110	545
4	6930	545
0	8124	535

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 #s(approx ( 1/8 (+ (* v -2) 3)) (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r r) (.f64 (.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(approx (* 1/8 (+ (* v -2) 3)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) #s(literal 3/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (.f64 r r) (.f64 (.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(approx ( 1/8 (+ (* v -2) 3)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64))
#s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
#s(approx (* 1/8 (+ (* v -2) 3)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
v
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))
#s(literal -1/4 binary64)
(/.f64 #s(literal 3/8 binary64) v)
#s(literal 3/8 binary64)
(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(.f64 w (.f64 r w))
(.f64 r (.f64 w w))
w
(*.f64 r w)
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 r (.f64 r (.f64 w w))))))
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 r (.f64 r (.f64 w w)))))
(.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 r (.f64 r (.f64 w w))))
(*.f64 r r)
r
(.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
(.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(*.f64 w w)
w
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))
#s(literal -1/4 binary64)
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (.f64 #s(literal -3/8 binary64) (.f64 r (.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 r (.f64 #s(literal -3/8 binary64) (.f64 r (.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(.f64 r (.f64 r (*.f64 w w)))
r
(.f64 r (.f64 w w))
(*.f64 w w)
w
#s(literal -3/8 binary64)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))) (.f64 w (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
(fma.f64 (.f64 r (.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))) (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
w
(.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
(/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
(.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 r (.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v))))
(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal -1/4 binary64)
#s(literal 3/8 binary64)
#s(literal 9/2 binary64)

localize452.0ms (3.2%)

Memory

-231.1MiB live, 362.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9798586732154201	(.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))
accuracy	1.875932713554634	(fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
accuracy	2.35145736166776	(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))
accuracy	4.901081573746222	(.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
accuracy	0.8634444628343251	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.5576219816831345	(.f64 r (.f64 r (*.f64 w w)))
accuracy	5.568280037295217	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
accuracy	8.389048161582132	(.f64 r (.f64 w w))
accuracy	3.8929195735251056	(.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
accuracy	12.68452599617245	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))
accuracy	14.893325516497931	(.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
accuracy	32.086728370816694	#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))
accuracy	0	(*.f64 r r)
accuracy	0.8634444628343251	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	5.568280037295217	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
accuracy	30.252735765474473	#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))
accuracy	0.06640625	(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
accuracy	0.1328125	(.f64 w (.f64 r w))
accuracy	0.8634444628343251	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	6.149559776909243	(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))

Samples

355.0ms

256×

valid

Compiler

Compiled 479 to 68 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 37.0ms (49% of total)

ival-add: 22.0ms (29.1% of total)

ival-div: 8.0ms (10.6% of total)

ival-sub: 7.0ms (9.3% of total)

exact: 1.0ms (1.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series73.0ms (0.5%)

Memory

5.0MiB live, 51.5MiB allocated

Counts

23 → 648

Calls

Call 1

Inputs
#<alt (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))>
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 #s(approx ( 1/8 (+ (* v -2) 3)) (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))>
#<alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))>
#<alt #s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))>
#<alt (*.f64 r r)>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))>
#<alt #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))>
#<alt (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))>
#<alt (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))>
#<alt (.f64 r (.f64 r (*.f64 w w)))>
#<alt (.f64 r (.f64 w w))>
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))>
#<alt (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))>
#<alt (.f64 w (.f64 r w))>
#<alt #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))>
#<alt (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))>
#<alt (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))>
#<alt (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))>
#<alt (fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))>
#<alt (.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))>

Outputs
#<alt 3/8>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (* -1/4 v)>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* -1/4 v)>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
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#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
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#<alt (+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))>
#<alt (+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))>
#<alt (+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))>
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#<alt (* r (pow w 2))>
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#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt -3/2>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
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#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
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#<alt (/ (+ (* -1/4 (* v (pow w 2))) (* 1/8 (pow w 2))) v)>
#<alt (* -1/4 (pow w 2))>
#<alt (+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))>
#<alt (+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))>
#<alt (+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))>
#<alt (* -1/4 (pow w 2))>
#<alt (+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))>
#<alt (+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))>
#<alt (+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (* 3/8 (* (pow r 2) w))>
#<alt (+ (* 3/8 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))))>
#<alt (+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))) (* -3/8 (* (pow r 2) w)))))>
#<alt (+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))) (* -1 (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))))) (* -3/8 (* (pow r 2) w)))))>
#<alt (* 1/4 (* (pow r 2) w))>
#<alt (- (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w))) (* -1/4 (/ (* (pow r 2) w) v)))>
#<alt (- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 2))) (* 1/4 (* (pow r 2) w)))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 2)))))>
#<alt (- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 3))) (* 1/4 (* (pow r 2) w)))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) w)) (* -1/4 (* (pow r 2) w))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 3))))))>
#<alt (* 1/4 (* (pow r 2) w))>
#<alt (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) w)) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))>
#<alt (/ (* r w) (- 1 v))>
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#<alt (/ (* r w) (- 1 v))>
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#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
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#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
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#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (* r w)>
#<alt (+ (* r w) (* r (* v w)))>
#<alt (+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w)))))>
#<alt (+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w)))))>
#<alt (* -1 (/ (* r w) v))>
#<alt (/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v)>
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v)>
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v)>
#<alt (* -1 (/ (* r w) v))>
#<alt (* -1 (/ (+ (* r w) (/ (* r w) v)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v))>
#<alt 9/2>
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#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt 9/2>
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#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ 9/2 (+ (* 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)))))))>
#<alt (+ 9/2 (+ (* 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)))))))>
#<alt (+ 9/2 (+ (* 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)))))))>
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (- (+ 9/2 (+ (* -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)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))>
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 9/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (* (pow r 2) w)>
#<alt (+ (* (pow r 2) w) (* (pow r 2) (* v w)))>
#<alt (+ (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))>
#<alt (+ (* v (- (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))>
#<alt (* -1 (/ (* (pow r 2) w) v))>
#<alt (/ (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) v))) v)>
#<alt (/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 2)))) (/ (* (pow r 2) w) v)) v)>
#<alt (/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 3)))) (+ (/ (* (pow r 2) w) v) (/ (* (pow r 2) w) (pow v 2)))) v)>
#<alt (* -1 (/ (* (pow r 2) w) v))>
#<alt (* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))>

Calls

162 calls:

Time	Variable		Point	Expression
41.0ms	r	@	0	(- (+ 3 (/ 2 (* r r))) (+ (* w (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8))) 9/2))
1.0ms	r	@	0	(* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8))
1.0ms	w	@	0	(* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8))
1.0ms	v	@	inf	(- (+ 3 (/ 2 (* r r))) (+ (* w (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8))) 9/2))
1.0ms	r	@	0	(* (* r r) (* (* w w) (+ -1/4 (/ 1/8 v))))

simplify454.0ms (3.2%)

Memory

-15.1MiB live, 534.0MiB allocated

Algorithm

1×	egg-herbie

Rules

19 850×	`lower-fma.f64`
19 850×	`lower-fma.f32`
5 134×	`lower-*.f64`
5 134×	`lower-*.f32`
3 146×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	552	11691
1	1799	10919
2	5940	10727
0	8523	10117

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

Inputs
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
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(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(* (pow r 2) (pow w 2))
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v)
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v)
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))
(* 1/8 (/ (pow w 2) v))
(/ (+ (* -1/4 (* v (pow w 2))) (* 1/8 (pow w 2))) v)
(/ (+ (* -1/4 (* v (pow w 2))) (* 1/8 (pow w 2))) v)
(/ (+ (* -1/4 (* v (pow w 2))) (* 1/8 (pow w 2))) v)
(* -1/4 (pow w 2))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))
(* -1/4 (pow w 2))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(* 3/8 (* (pow r 2) w))
(+ (* 3/8 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))))
(+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))) (* -3/8 (* (pow r 2) w)))))
(+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))) (* -1 (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))))) (* -3/8 (* (pow r 2) w)))))
(* 1/4 (* (pow r 2) w))
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w))) (* -1/4 (/ (* (pow r 2) w) v)))
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 2))) (* 1/4 (* (pow r 2) w)))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 2)))))
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 3))) (* 1/4 (* (pow r 2) w)))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) w)) (* -1/4 (* (pow r 2) w))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 3))))))
(* 1/4 (* (pow r 2) w))
(+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) w)) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(* r w)
(+ (* r w) (* r (* v w)))
(+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w)))))
(+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w)))))
(* -1 (/ (* r w) v))
(/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v)
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v)
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v)
(* -1 (/ (* r w) v))
(* -1 (/ (+ (* r w) (/ (* r w) v)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v))
9/2
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
9/2
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* 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)))))))
(+ 9/2 (+ (* 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)))))))
(+ 9/2 (+ (* 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)))))))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))
(- (+ 9/2 (+ (* -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)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(* (pow r 2) w)
(+ (* (pow r 2) w) (* (pow r 2) (* v w)))
(+ (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))
(+ (* v (- (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))
(* -1 (/ (* (pow r 2) w) v))
(/ (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) v))) v)
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 2)))) (/ (* (pow r 2) w) v)) v)
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 3)))) (+ (/ (* (pow r 2) w) v) (/ (* (pow r 2) w) (pow v 2)))) v)
(* -1 (/ (* (pow r 2) w) v))
(* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))

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

rewrite545.0ms (3.8%)

Memory

10.7MiB live, 498.7MiB allocated

Rules

5 098×	`lower-*.f32`
5 072×	`lower-*.f64`
5 070×	`lower-fma.f32`
5 062×	`lower-fma.f64`
3 488×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	423
0	113	427
1	519	377
2	4823	371
0	8996	349

Stop Event

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

Counts

23 → 493

Calls

Call 1

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

Outputs
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 v v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal -3/8 binary64))) (/.f64 #s(literal 9/64 binary64) (fma.f64 v #s(literal -1/4 binary64) #s(literal -3/8 binary64))))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 v #s(literal 1/8 binary64)) #s(literal 3/8 binary64))
(fma.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 3/8 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) v) #s(literal -2 binary64) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 v v) #s(literal 9/64 binary64)) (.f64 v #s(literal -3/32 binary64))) (fma.f64 #s(literal -1/64 binary64) (.f64 v (.f64 v v)) #s(literal 27/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal -3/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 v v) #s(literal -9/64 binary64))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 v (.f64 v v)) #s(literal 27/512 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 v v) #s(literal 9/64 binary64)) (.f64 v #s(literal -3/32 binary64))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 v (.f64 v v)) #s(literal 27/512 binary64)) (+.f64 #s(literal 9/64 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 v v)) (*.f64 v #s(literal -3/32 binary64)))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 v v) #s(literal -9/64 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal -3/8 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 v (.f64 v v)) #s(literal 27/512 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 v v) #s(literal 9/64 binary64)) (.f64 v #s(literal -3/32 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 v v) #s(literal -9/64 binary64))) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal -3/8 binary64))))
(/.f64 (-.f64 #s(literal 9/64 binary64) (.f64 #s(literal 1/16 binary64) (.f64 v v))) (-.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v (.f64 v v)) #s(literal -8 binary64) #s(literal 27 binary64))) (fma.f64 (.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal -8 binary64)))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
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(fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (.f64 w (*.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (*.f64 w w)) #s(literal 9/2 binary64))
(fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (*.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(fma.f64 (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)) #s(literal 9/2 binary64))
(fma.f64 (/.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64)) #s(literal 9/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal 81/4 binary64)) (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 w w) w) (.f64 (.f64 w w) w)) (.f64 (.f64 r (.f64 r r)) (.f64 r (.f64 r r)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 729/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) #s(literal -9/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 w w) w) (.f64 (.f64 w w) w)) (.f64 (.f64 r (.f64 r r)) (.f64 r (.f64 r r)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 729/8 binary64)) (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal 81/4 binary64)) (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 w w) w) (.f64 (.f64 w w) w)) (.f64 (.f64 r (.f64 r r)) (.f64 r (.f64 r r)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 729/8 binary64)) (+.f64 #s(literal 81/4 binary64) (-.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)) (fma.f64 (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) #s(literal -9/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 w w) w) (.f64 (.f64 w w) w)) (.f64 (.f64 r (.f64 r r)) (.f64 r (.f64 r r)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 729/8 binary64))) (neg.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal 81/4 binary64)) (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64))) (neg.f64 (fma.f64 (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) #s(literal -9/2 binary64))))
(/.f64 (-.f64 #s(literal 81/4 binary64) (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (-.f64 #s(literal 9/2 binary64) (.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))))))
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal 81/4 binary64)) (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 w w) w) (.f64 (.f64 w w) w)) (.f64 (.f64 r (.f64 r r)) (.f64 r (.f64 r r)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 729/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) #s(literal -9/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 w w) w) (.f64 (.f64 w w) w)) (.f64 (.f64 r (.f64 r r)) (.f64 r (.f64 r r)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 729/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal 81/4 binary64)) (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) #s(literal -9/2 binary64))))
(/.f64 (*.f64 r w) (/.f64 (-.f64 #s(literal 1 binary64) v) r))
(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v))
(/.f64 (.f64 (.f64 r w) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) r))
(/.f64 (.f64 (.f64 r w) (neg.f64 r)) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(.f64 r (/.f64 (.f64 r w) (-.f64 #s(literal 1 binary64) v)))
(.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 w (.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r))
(.f64 (.f64 r w) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (.f64 r w))
(.f64 (/.f64 (.f64 r w) (-.f64 #s(literal 1 binary64) v)) r)
(.f64 (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v))) w)
(.f64 (.f64 (*.f64 r w) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))

eval225.0ms (1.6%)

Memory: 24.5MiB live, 364.5MiB allocated
Compiler: Compiled 40 984 to 2 038 computations (95% saved)

prune145.0ms (1%)

Memory

-3.8MiB live, 285.3MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1 328	14	1 342
Fresh	12	6	18
Picked	3	2	5
Done	1	1	2
Total	1 344	23	1 367

Accuracy

100.0%

Counts

1 367 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (.f64 (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (.f64 (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))))) (fma.f64 (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))))
▶	43.1%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
▶	56.9%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
	90.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r w) (.f64 w #s(literal -3/8 binary64))) r (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
▶	91.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	90.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 (.f64 r w) w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
✓	84.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	44.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 w (.f64 w (.f64 r r))) (.f64 w (.f64 w (.f64 r r)))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)) #s(literal 3/2 binary64)) (*.f64 r r))))
	45.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 w (.f64 w (.f64 r r))) (.f64 w (.f64 w (.f64 r r)))) #s(literal -9/4 binary64)) r (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r)))
	39.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
	27.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))))
✓	39.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
	80.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
▶	71.0%	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))))
✓	57.2%	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
	85.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
▶	42.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
	52.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (.f64 (.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 r (.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))))
	32.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	33.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 w w) (.f64 r (*.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
	30.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 (.f64 r w) (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)))
	36.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) #s(approx (* (* w w) (+ -1/4 (/ 1/8 v))) (.f64 #s(literal -1/4 binary64) (.f64 w w))))))
	36.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) #s(approx (* (* r r) (* (* w w) (+ -1/4 (/ 1/8 v)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w))))))

Compiler

Compiled 1 167 to 547 computations (53.1% saved)

simplify389.0ms (2.7%)

Memory

-19.9MiB live, 416.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
cost-diff	0	(fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
cost-diff	0	#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
cost-diff	0	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
cost-diff	0	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))))
cost-diff	0	(*.f64 w w)
cost-diff	0	(fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
cost-diff	0	#s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 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	#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	0	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
cost-diff	0	(*.f64 r w)
cost-diff	0	(.f64 (.f64 r w) (*.f64 r w))
cost-diff	0	(fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))

Rules

15 678×	`lower-fma.f32`
15 670×	`lower-fma.f64`
6 852×	`lower-*.f32`
6 830×	`lower-*.f64`
1 872×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	518
0	87	518
1	185	518
2	478	497
3	1992	497
4	5849	497
0	8189	492

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(.f64 (.f64 r w) (*.f64 r w))
(.f64 r (.f64 r (*.f64 w w)))
(*.f64 r w)
r
w
#s(literal -3/8 binary64)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(+.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
#s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
(fma.f64 r (.f64 (.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
(*.f64 w w)
w
(.f64 (.f64 r r) #s(literal -3/8 binary64))
(.f64 r (.f64 r #s(literal -3/8 binary64)))
(*.f64 r r)
r
#s(literal -3/8 binary64)
#s(literal -3/2 binary64)
#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) (.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64))))
(.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))
(.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)))
(.f64 w (.f64 (*.f64 r r) w))
(.f64 r (.f64 r (*.f64 w w)))
w
(.f64 (.f64 r r) w)
(.f64 r (.f64 r w))
#s(literal -3/8 binary64)
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(+.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 r (.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal -9/2 binary64)))
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
(fma.f64 (.f64 w w) (/.f64 (.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))
w
(.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
(/.f64 (.f64 w (.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (-.f64 #s(literal 1 binary64) v))
(.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v))
r
(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal -1/4 binary64)
#s(literal 3/8 binary64)
#s(literal 9/2 binary64)

localize145.0ms (1%)

Memory

7.1MiB live, 315.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.875932713554634	(fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
accuracy	2.35145736166776	(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))
accuracy	4.901081573746222	(.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
accuracy	29.376383447804503	#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
accuracy	3.0884165470047713	(.f64 w (.f64 (*.f64 r r) w))
accuracy	5.568280037295217	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))))
accuracy	8.374887491534297	(.f64 (.f64 r r) w)
accuracy	31.688784135437118	#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))
accuracy	0.13671875	(.f64 (.f64 r r) #s(literal -3/8 binary64))
accuracy	5.568280037295217	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
accuracy	11.747208951857555	(fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
accuracy	25.234105654876274	#s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
accuracy	0	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
accuracy	0	(*.f64 r r)
accuracy	0.8634444628343251	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	38.28226608905444	#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy	0.0546875	(fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
accuracy	0.2265625	(.f64 (.f64 r w) (*.f64 r w))
accuracy	0.8634444628343251	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	5.568280037295217	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))

Samples

88.0ms

256×

valid

Compiler

Compiled 412 to 49 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 47.0ms (70.9% of total)

ival-add: 7.0ms (10.6% of total)

ival-div: 5.0ms (7.5% of total)

ival-sub: 5.0ms (7.5% of total)

exact: 1.0ms (1.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

7.7MiB live, 45.8MiB allocated

Counts

23 → 600

Calls

Call 1

Inputs
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))>
#<alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))>
#<alt (.f64 (.f64 r w) (*.f64 r w))>
#<alt (*.f64 r w)>
#<alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))>
#<alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))>
#<alt (*.f64 r r)>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))>
#<alt #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))>
#<alt (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))>
#<alt (*.f64 w w)>
#<alt #s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))))>
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))>
#<alt (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))>
#<alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))>
#<alt (fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))>
#<alt (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))>
#<alt (.f64 (.f64 r r) #s(literal -3/8 binary64))>
#<alt #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))>
#<alt (.f64 (.f64 r r) w)>
#<alt (.f64 w (.f64 (*.f64 r r) w))>
#<alt (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))>

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

Calls

150 calls:

Time	Variable		Point	Expression
0.0ms	w	@	-inf	(* r w)
0.0ms	r	@	inf	(* r w)
0.0ms	w	@	-inf	(* (* r r) w)
0.0ms	r	@	-inf	(* r w)
0.0ms	w	@	inf	(* (* r r) w)

simplify521.0ms (3.6%)

Memory

16.6MiB live, 569.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 084×	`lower-fma.f64`
18 084×	`lower-fma.f32`
5 656×	`lower-*.f64`
5 656×	`lower-*.f32`
2 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	432	11107
1	1465	10591
2	5129	10354
0	8159	9693

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
9/2
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
9/2
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* 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)))))))
(+ 9/2 (+ (* 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)))))))
(+ 9/2 (+ (* 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)))))))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))
(- (+ 9/2 (+ (* -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)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(* 3/8 (* (pow r 2) w))
(+ (* 3/8 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))))
(+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))) (* -3/8 (* (pow r 2) w)))))
(+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))) (* -1 (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))))) (* -3/8 (* (pow r 2) w)))))
(* 1/4 (* (pow r 2) w))
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w))) (* -1/4 (/ (* (pow r 2) w) v)))
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 2))) (* 1/4 (* (pow r 2) w)))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 2)))))
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 3))) (* 1/4 (* (pow r 2) w)))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) w)) (* -1/4 (* (pow r 2) w))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 3))))))
(* 1/4 (* (pow r 2) w))
(+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) w)) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(* r w)
(+ (* r w) (* r (* v w)))
(+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w)))))
(+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w)))))
(* -1 (/ (* r w) v))
(/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v)
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v)
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v)
(* -1 (/ (* r w) v))
(* -1 (/ (+ (* r w) (/ (* r w) v)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v))

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

rewrite400.0ms (2.8%)

Memory

-36.7MiB live, 465.3MiB allocated

Rules

4 298×	`lower-/.f32`
4 294×	`lower-/.f64`
3 734×	`lower-*.f32`
3 712×	`lower-*.f64`
3 272×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	438
0	87	410
1	373	402
2	3151	402
0	8370	373

Stop Event

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

Counts

23 → 422

Calls

Call 1

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

Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 r (.f64 w (.f64 (*.f64 r w) #s(literal -3/8 binary64)))))
(+.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))
(+.f64 (.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(literal -3/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w))))) (-.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (/.f64 (.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (-.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))) (/.f64 (.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64)))))) (/.f64 (.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w))))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 r (.f64 w (.f64 (*.f64 r w) #s(literal -3/8 binary64)))))))
(-.f64 (/.f64 (.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (-.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (-.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(-.f64 (/.f64 (.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (-.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(literal -3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (-.f64 (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 r r)) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 r (.f64 (.f64 r #s(literal -3/8 binary64)) (.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 w (.f64 r (.f64 (.f64 r w) #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 w w) (.f64 #s(literal -3/8 binary64) (.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 r (.f64 w w)) (.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 #s(literal -3/8 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.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 r r)) (.f64 w w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 r (.f64 r w)) (.f64 w #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 r r))) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 r (.f64 r r)) (.f64 r (.f64 r r)))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))) (.f64 r (.f64 w (.f64 (*.f64 r w) #s(literal -3/8 binary64)))))
(fma.f64 (fma.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r w)) (.f64 #s(literal -27/512 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r w))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) (-.f64 #s(literal 9/4 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal 9/16 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 r r)) #s(literal 2 binary64) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64)))))
(fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (.f64 r (.f64 (.f64 r w) #s(literal -3/8 binary64))) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 (.f64 r w) #s(literal -3/8 binary64)) (.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 r #s(literal -3/8 binary64)) (.f64 r (.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 r (.f64 w (.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (fma.f64 r (.f64 w (.f64 (*.f64 r w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64))))) (-.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))) (/.f64 (.f64 (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64)))) (-.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))))
(fma.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64)) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))))
(fma.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 v (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 (.f64 r w) (.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 (.f64 r w) (.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 3/8 binary64)) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))))
(fma.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r #s(literal 3/8 binary64)) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))))
(fma.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3/8 binary64) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))))
(fma.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (.f64 v #s(literal -1/4 binary64)) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 #s(literal -1/4 binary64) (.f64 v (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 #s(literal 3/8 binary64) (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))))
(fma.f64 (.f64 v #s(literal -1/4 binary64)) (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 (.f64 #s(literal 3/8 binary64) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))))
(fma.f64 (.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) r (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 (.f64 (.f64 v #s(literal -1/4 binary64)) r) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 (.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 (.f64 #s(literal 3/8 binary64) r) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))))
(fma.f64 (.f64 #s(literal 3/8 binary64) (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))))
(fma.f64 (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) v) #s(literal -1/4 binary64) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(fma.f64 (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal -1/4 binary64)) v (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64))))) (.f64 (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))) (.f64 (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64)))))) (fma.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (-.f64 (.f64 (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64)))) (.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 r (.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64))))) (.f64 (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))) (-.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 r (.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64))) (-.f64 (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal -3/32 binary64))))
(/.f64 (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal -9/64 binary64))) (fma.f64 v #s(literal -1/4 binary64) #s(literal -3/8 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)) (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v))) (-.f64 (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal -3/32 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal -9/64 binary64)) (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 v #s(literal -1/4 binary64) #s(literal -3/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64))))) (.f64 (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))) (.f64 (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))))) (neg.f64 (fma.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (-.f64 (.f64 (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64)))) (.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 r (.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64))))) (.f64 (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))) (.f64 r (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64)))))) (neg.f64 (-.f64 (.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 r (.f64 v #s(literal -1/4 binary64)))) (.f64 r (.f64 (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3/8 binary64))))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal -3/32 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal -9/64 binary64)))) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal -3/8 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)) (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal -3/32 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal -9/64 binary64)) (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal -3/8 binary64))))
(.f64 r (/.f64 (.f64 (*.f64 r w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 r w) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))
(.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))
(.f64 (/.f64 (.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
(.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (.f64 (*.f64 r w) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (-.f64 #s(literal 1 binary64) v)) r)
(.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) r) (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 r (.f64 r #s(literal -3/8 binary64)))
(.f64 #s(literal -3/8 binary64) (.f64 r r))
(.f64 (.f64 r r) #s(literal -3/8 binary64))
(.f64 (.f64 r #s(literal -3/8 binary64)) r)
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) (.f64 r (.f64 w (.f64 (.f64 r w) #s(literal -3/8 binary64)))))
(.f64 r (.f64 r w))
(.f64 w (.f64 r r))
(.f64 (.f64 r w) r)
(.f64 (.f64 r r) w)
(exp.f64 (.f64 (log.f64 (.f64 r w)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64))))
(pow.f64 (.f64 r (.f64 r (*.f64 w w))) #s(literal 1 binary64))
(pow.f64 (*.f64 r w) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 r w))) #s(literal 2 binary64))
(.f64 r (.f64 r (*.f64 w w)))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 (.f64 r (*.f64 w w)) r)
(.f64 (.f64 r w) (*.f64 r w))
(.f64 (.f64 r r) (*.f64 w w))
(.f64 (.f64 r (*.f64 r w)) w)
(.f64 (exp.f64 (log.f64 (.f64 r w))) (exp.f64 (log.f64 (*.f64 r w))))
(/.f64 w (/.f64 (-.f64 #s(literal 1 binary64) v) r))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r w)))
(/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r w))))
(/.f64 (neg.f64 (*.f64 r w)) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (neg.f64 w) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r)))
(/.f64 (*.f64 w #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) r))
(/.f64 (*.f64 w (neg.f64 r)) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 #s(literal 1 binary64) w) (/.f64 (-.f64 #s(literal 1 binary64) v) r))
(/.f64 (*.f64 (neg.f64 r) w) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (neg.f64 (neg.f64 (*.f64 r w))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(/.f64 (neg.f64 (*.f64 w #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r)))
(/.f64 (neg.f64 (*.f64 w (neg.f64 r))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) w)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) w)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r w)) #s(literal -1 binary64))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) w))
(*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))
(*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 r w) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w)
(.f64 (/.f64 (.f64 r w) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))
(.f64 (/.f64 (.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64)))

eval163.0ms (1.1%)

Memory: 28.6MiB live, 290.3MiB allocated
Compiler: Compiled 34 031 to 1 701 computations (95% saved)

prune185.0ms (1.3%)

Memory

-6.7MiB live, 256.4MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 183	13	1 196
Fresh	4	11	15
Picked	4	1	5
Done	1	2	3
Total	1 192	27	1 219

Accuracy

100.0%

Counts

1 219 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.1%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	39.6%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r #s(approx (* w (/ r (- 1 v))) (/.f64 (*.f64 r w) (neg.f64 v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
	31.4%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r #s(approx (* w (/ r (- 1 v))) (*.f64 r (fma.f64 w v w)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
	37.8%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r #s(approx (* w (/ r (- 1 v))) (*.f64 r w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
	46.2%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w #s(approx (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8)) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 r r) w))) #s(literal 9/2 binary64)))
	24.4%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) #s(literal -9/2 binary64)))))
	90.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r w) (.f64 w #s(literal -3/8 binary64))) r (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	44.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 w (.f64 w (.f64 r r))) (.f64 w (.f64 w (.f64 r r)))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)) #s(literal 3/2 binary64)) (*.f64 r r))))
	45.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 w (.f64 w (.f64 r r))) (.f64 w (.f64 w (.f64 r r)))) #s(literal -9/4 binary64)) r (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r)))
	39.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
	27.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))))
✓	39.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
	80.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
	79.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
	74.6%	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64)))))
✓	57.2%	#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
	52.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 (.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64))))
	50.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r (.f64 (*.f64 r w) #s(literal -3/8 binary64))) w #s(literal -3/2 binary64))))
	50.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
	50.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r (.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
	50.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r (.f64 r w)) (*.f64 w #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
	52.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (.f64 (.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 r (.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))))
	32.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	18.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
	30.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 (.f64 r w) (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)))
	36.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) #s(approx (* (* w w) (+ -1/4 (/ 1/8 v))) (.f64 #s(literal -1/4 binary64) (.f64 w w))))))
	36.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) #s(approx (* (* r r) (* (* w w) (+ -1/4 (/ 1/8 v)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w))))))

Compiler

Compiled 2 201 to 570 computations (74.1% saved)

regimes148.0ms (1%)

Memory

8.0MiB live, 161.3MiB allocated

Counts

64 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) #s(approx (* (* r r) (* (* w w) (+ -1/4 (/ 1/8 v)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) #s(approx (* (* w w) (+ -1/4 (/ 1/8 v))) (.f64 #s(literal -1/4 binary64) (.f64 w w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r (.f64 r w)) (*.f64 w #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r (.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 r (.f64 (*.f64 r w) #s(literal -3/8 binary64))) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 (.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w #s(approx (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8)) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 r r) w))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r #s(approx (* w (/ r (- 1 v))) (*.f64 r w))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 (.f64 r w) (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 w w) (.f64 r (*.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r #s(approx (* w (/ r (- 1 v))) (*.f64 r (fma.f64 w v w)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))))
#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w w)) (.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 (.f64 r w) w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r w) (.f64 w #s(literal -3/8 binary64))) r (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r #s(approx (* w (/ r (- 1 v))) (/.f64 (*.f64 r w) (neg.f64 v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal -1/4 binary64) (.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (.f64 (.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))))
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(approx (+ (* -1/8 (/ (* (+ (* v -2) 3) (* r (* w (* r w)))) (- 1 v))) -9/2) #s(literal -9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (.f64 (.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 r (.f64 r #s(literal -3/8 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 #s(approx ( 1/8 (+ (* v -2) 3)) (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 r (.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (.f64 w w))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -4 binary64) (.f64 r (.f64 r (.f64 r r))))) (fma.f64 (/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)))
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 w (.f64 w (.f64 r r))) (.f64 w (.f64 w (.f64 r r)))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)) #s(literal 3/2 binary64)) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w)))) #s(literal -9/4 binary64)) r (.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (.f64 (fma.f64 r (.f64 (.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 w (.f64 w (.f64 r r))) (.f64 w (.f64 w (.f64 r r)))) #s(literal -9/4 binary64)) r (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r)))
(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 r (.f64 r r)) (.f64 r (.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) #s(literal -9/2 binary64)))))
(fma.f64 (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w)))) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(literal -9/2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (.f64 (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (.f64 (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))))) (fma.f64 (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))

Calls

6 calls:

57.0ms	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))
17.0ms	v
17.0ms	r
16.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
98.2%	1	`v`
99.8%	2	`w`
99.8%	2	`r`
98.2%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
98.2%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
99.8%	2	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes75.0ms (0.5%)

Memory

-8.6MiB live, 103.7MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))

Calls

3 calls:

34.0ms	r
22.0ms	w
15.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
99.8%	2	`w`
99.8%	2	`(*.f64 w w)`
99.8%	2	`r`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes92.0ms (0.6%)

Memory

21.1MiB live, 208.3MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))

Calls

6 calls:

16.0ms	(-.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))
16.0ms	v
16.0ms	(*.f64 w w)
15.0ms	w
14.0ms	r

Results

Accuracy	Segments	Branch
98.3%	2	`v`
96.2%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
96.2%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
96.2%	1	`w`
99.3%	2	`r`
96.2%	1	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes80.0ms (0.6%)

Memory

-24.4MiB live, 155.3MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (*.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))

Calls

6 calls:

17.0ms	(*.f64 w w)
15.0ms	r
14.0ms	v
11.0ms	w
11.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
97.0%	3	`(-.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))`
97.0%	3	`(-.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)))`
94.8%	2	`w`
94.8%	2	`(*.f64 w w)`
92.8%	2	`v`
96.5%	2	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes58.0ms (0.4%)

Memory

4.7MiB live, 80.6MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

Calls

3 calls:

36.0ms

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

12.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
93.3%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
93.3%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
95.2%	2	`r`

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes42.0ms (0.3%)

Memory

-17.1MiB live, 24.3MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

Calls

1 calls:

40.0ms

Results

Accuracy	Segments	Branch
95.2%	2	`r`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
95.2%	2	`r`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes83.0ms (0.6%)

Memory

-21.2MiB live, 91.3MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w #s(approx (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r r) w))) #s(literal 9/2 binary64)))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64))))

Calls

6 calls:

35.0ms	w
17.0ms	v
9.0ms	r
7.0ms	(*.f64 w w)
6.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
74.6%	1	`v`
92.9%	4	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
92.9%	4	`(-.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)))`
87.8%	2	`w`
87.8%	2	`(*.f64 w w)`
94.1%	3	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

24 → 4

Calls

Call 1

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

Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w #s(approx (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8)) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 r r) w))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 (.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
93.7%	4	`r`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory

11.3MiB live, 50.2MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w #s(approx (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r r) w))) #s(literal 9/2 binary64)))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

3 calls:

13.0ms

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
91.4%	3	`(-.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))`
91.4%	3	`(-.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)))`
88.2%	3	`r`

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes14.0ms (0.1%)

Memory

-2.6MiB live, 31.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

2 calls:

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
91.3%	3	`(-.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))`
91.3%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes12.0ms (0.1%)

Memory

-8.2MiB live, 28.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

2 calls:

7.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
89.4%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
89.4%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes18.0ms (0.1%)

Memory

13.0MiB live, 49.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

6 calls:

5.0ms	(*.f64 w w)
2.0ms	w
2.0ms	v
2.0ms	r
2.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
57.2%	1	`v`
57.2%	1	`r`
57.2%	1	`w`
57.2%	1	`(*.f64 w w)`
57.2%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
57.2%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes16.0ms (0.1%)

Memory

-15.8MiB live, 30.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))

Calls

6 calls:

8.0ms	r
2.0ms	w
2.0ms	v
2.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
1.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
39.7%	1	`v`
54.8%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
54.8%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
56.3%	2	`r`
43.7%	2	`(*.f64 w w)`
43.7%	2	`w`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes10.0ms (0.1%)

Memory

-9.3MiB live, 28.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))

Calls

6 calls:

2.0ms	(*.f64 w w)
1.0ms	v
1.0ms	r
1.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
1.0ms	w

Results

Accuracy	Segments	Branch
18.2%	1	`v`
18.2%	1	`(*.f64 w w)`
18.2%	1	`w`
18.2%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
18.2%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
18.2%	1	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch18.0ms (0.1%)

Memory

7.2MiB live, 44.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.817719068925793e-46	2.644178976370275e-45

Samples

12.0ms

96×

valid

Compiler

Compiled 353 to 238 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (56% of total)

ival-sub: 2.0ms (28% of total)

ival-div: 1.0ms (14% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.817719068925793e-46	2.644178976370275e-45

Compiler

Compiled 347 to 238 computations (31.4% saved)

bsearch20.0ms (0.1%)

Memory

17.1MiB live, 55.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	7.75969273724932	198.71120378364802

Samples

11.0ms

112×

valid

Compiler

Compiled 364 to 245 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (47% of total)

ival-sub: 2.0ms (23.5% of total)

ival-div: 1.0ms (11.8% of total)

ival-add: 1.0ms (11.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.75969273724932	198.71120378364802

Compiler

Compiled 350 to 238 computations (32% saved)

bsearch28.0ms (0.2%)

Memory

-24.7MiB live, 35.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.297788503762547e+147	1.6388450094211218e+151

Samples

19.0ms

128×

valid

Compiler

Compiled 371 to 244 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 11.0ms (68.3% of total)

ival-div: 2.0ms (12.4% of total)

ival-sub: 2.0ms (12.4% of total)

ival-add: 1.0ms (6.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.297788503762547e+147	1.6388450094211218e+151

Compiler

Compiled 371 to 236 computations (36.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.297788503762547e+147	1.6388450094211218e+151

Compiler

Compiled 331 to 204 computations (38.4% saved)

bsearch53.0ms (0.4%)

Memory

-5.8MiB live, 32.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.297788503762547e+147	1.6388450094211218e+151
49.0ms	0.21415436351994735	3.650417183760742

Samples

44.0ms

112×

valid

Compiler

Compiled 580 to 364 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 37.0ms (89.9% of total)

ival-sub: 2.0ms (4.9% of total)

ival-div: 1.0ms (2.4% of total)

ival-add: 1.0ms (2.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory

-12.0MiB live, 26.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.297788503762547e+147	1.6388450094211218e+151
1.0ms	0.21415436351994735	3.650417183760742
10.0ms	3.2094107756480374e-130	4.6322673186936435e-130

Samples

7.0ms

64×

valid

Compiler

Compiled 704 to 440 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (59.4% of total)

ival-div: 1.0ms (19.8% of total)

ival-sub: 1.0ms (19.8% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.1500876630277928
0.0ms	-22426309493470.668	-2935571219745.0728

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.1500876630277928
0.0ms	-inf	-1.5086805860909004e+305

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2935571219745.0728	-6132.844150160194

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch18.0ms (0.1%)

Memory

-4.7MiB live, 32.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.21415436351994735	3.650417183760742

Samples

13.0ms

96×

valid

Compiler

Compiled 161 to 112 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (38.7% of total)

ival-mult: 4.0ms (38.7% of total)

ival-sub: 2.0ms (19.4% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify39.0ms (0.3%)

Memory

2.1MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Rules

242×	`unsub-neg_binary64`
154×	`neg-mul-1_binary64`
104×	`*-commutative_binary64`
88×	`distribute-lft-neg-in_binary64`
80×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	1729
1	207	1729
2	238	1729
3	266	1729
4	308	1729
5	361	1729
6	482	1729
7	649	1729
8	753	1729
9	778	1729
10	786	1729
11	787	1729

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 r #s(literal 2506823349044025/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))))
(if (<=.f64 r #s(literal 2506823349044025/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 195 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 195 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 22499999999999999682369464551029504936227045298182881337307670835860699443565611738941599811583401438878148030014517241281902228431279390950032408576 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 (.f64 r w) w)) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 r #s(literal 22499999999999999682369464551029504936227045298182881337307670835860699443565611738941599811583401438878148030014517241281902228431279390950032408576 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 r #s(literal 22499999999999999682369464551029504936227045298182881337307670835860699443565611738941599811583401438878148030014517241281902228431279390950032408576 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 (.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64)))))
(if (<=.f64 r #s(literal 7746191359077253/18014398509481984 binary64)) #s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))) (if (<=.f64 r #s(literal 22499999999999999682369464551029504936227045298182881337307670835860699443565611738941599811583401438878148030014517241281902228431279390950032408576 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w #s(approx (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 r r) w))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 (.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64))))))
(if (<=.f64 r #s(literal 1217481934623237/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (if (<=.f64 r #s(literal 7746191359077253/18014398509481984 binary64)) #s(approx (- (- (+ 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)) #s(approx (+ ( (* w w) (* (* r r) -3/8)) -3/2) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))) (if (<=.f64 r #s(literal 22499999999999999682369464551029504936227045298182881337307670835860699443565611738941599811583401438878148030014517241281902228431279390950032408576 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w #s(approx (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 r r) w))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 (.f64 r w) #s(literal -3/8 binary64)) (*.f64 r w) #s(literal -3/2 binary64)))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) (-.f64 #s(approx (+ 3 (/ 2 ( r r))) #s(literal 3 binary64)) (fma.f64 w #s(approx (* (* r (* w (/ r (- 1 v)))) (+ (* v -1/4) 3/8)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 r r) w))) #s(literal 9/2 binary64))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 (.f64 r w) #s(literal -3/8 binary64)) (.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) #s(approx (* (* r r) (* (* w w) (+ -1/4 (/ 1/8 v)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (.f64 (.f64 r w) #s(literal -3/8 binary64)) (.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) #s(approx (* (* r r) (* (* w w) (+ -1/4 (/ 1/8 v)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))

Outputs
(if (<=.f64 r #s(literal 2506823349044025/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))))
(if (<=.f64 r #s(literal 2506823349044025/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r w) (.f64 (.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 195 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 195 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 195 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))))
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soundness2.6s (17.8%)

Memory

31.0MiB live, 1 624.8MiB allocated

Rules

24 258×	`lower-fma.f64`
24 258×	`lower-fma.f32`
19 850×	`lower-fma.f64`
19 850×	`lower-fma.f32`
18 084×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	432	11107
1	1465	10591
2	5129	10354
0	8159	9693
0	59	438
0	87	410
1	373	402
2	3151	402
0	8370	373
0	22	114
0	36	114
1	149	104
2	1353	104
0	8965	94
0	552	11691
1	1799	10919
2	5940	10727
0	8523	10117
0	472	12254
1	1514	11262
2	5030	10881
0	8796	10209
0	76	423
0	113	427
1	519	377
2	4823	371
0	8996	349
0	65	391
0	103	368
1	474	326
2	4486	326
0	8740	304
0	227	4018
1	745	3856
2	2574	3578
0	8209	3390

Stop Event

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

Compiler

Compiled 1 604 to 778 computations (51.5% saved)

preprocess180.0ms (1.3%)

Memory: -10.4MiB live, 229.8MiB allocated
Remove: (abs w)
Compiler: Compiled 1 710 to 440 computations (74.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze145.0ms (1%)

sample1.9s (13.2%)

explain387.0ms (2.7%)

preprocess367.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify494.0ms (3.4%)

localize162.0ms (1.1%)

series48.0ms (0.3%)

simplify376.0ms (2.6%)

rewrite398.0ms (2.8%)

eval194.0ms (1.4%)

prune220.0ms (1.5%)

simplify391.0ms (2.7%)

localize169.0ms (1.2%)

series44.0ms (0.3%)

simplify380.0ms (2.7%)

rewrite345.0ms (2.4%)

eval216.0ms (1.5%)

prune192.0ms (1.3%)

simplify576.0ms (4%)

localize452.0ms (3.2%)

series73.0ms (0.5%)

simplify454.0ms (3.2%)

rewrite545.0ms (3.8%)

eval225.0ms (1.6%)

prune145.0ms (1%)

simplify389.0ms (2.7%)

localize145.0ms (1%)

series19.0ms (0.1%)

simplify521.0ms (3.6%)

rewrite400.0ms (2.8%)

eval163.0ms (1.1%)

prune185.0ms (1.3%)

regimes148.0ms (1%)

regimes75.0ms (0.5%)

regimes92.0ms (0.6%)

regimes80.0ms (0.6%)

regimes58.0ms (0.4%)

regimes42.0ms (0.3%)

regimes10.0ms (0.1%)

regimes83.0ms (0.6%)

regimes9.0ms (0.1%)

regimes27.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes18.0ms (0.1%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch1.0ms (0%)

bsearch20.0ms (0.1%)

bsearch1.0ms (0%)

bsearch28.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch53.0ms (0.4%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.1%)

simplify39.0ms (0.3%)

soundness2.6s (17.8%)

preprocess180.0ms (1.3%)

end0.0ms (0%)

Profiling