Metrics for Rosa's TurbineBenchmark

analyze138.0ms (1%)

Memory

-19.0MiB live, 298.0MiB 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)

sample1.7s (12.5%)

Memory

45.9MiB live, 2 296.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 919.0ms

ival-mult: 530.0ms (57.7% of total)

ival-sub: 180.0ms (19.6% of total)

ival-div: 143.0ms (15.6% of total)

ival-add: 38.0ms (4.1% of total)

exact: 18.0ms (2% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

preprocess432.0ms (3.1%)

Memory

24.4MiB live, 773.4MiB 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)

explain398.0ms (2.9%)

Memory

-11.1MiB live, 679.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
37	-	1	(2.0985151620550415e-285 3.539398341383722e-157 7.059771006095589e+166)	`(.f64 (.f64 w w) r)`
15	-	1	(2.2504214512991323e-62 7.798891928351949e-295 4.6330726838502466e+268)	`(.f64 (.f64 (*.f64 w w) r) r)`
12	-	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))`
11	-	0	-	`(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))`
3	-	0	-	`(/.f64 #s(literal 2 binary64) (*.f64 r r))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 9/2 binary64)`
0	-	0	-	`#s(literal 1/8 binary64)`
0	-	0	-	`v`
0	-	0	-	`(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))`
0	-	0	-	`(*.f64 w w)`
0	-	0	-	`(*.f64 r r)`
0	-	0	-	`(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))`
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	-	`(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))`
0	-	0	-	`(-.f64 #s(literal 1 binary64) v)`
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	-	`(*.f64 #s(literal 2 binary64) v)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`w`
0	-	0	-	`r`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 w w) r)`	*no**	17	0
`/.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	12	0
↳	`(.f64 (.f64 w w) r)`	overflow	60
↳	`(*.f64 w w)`	overflow	60
↳	`(.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	82
↳	`(.f64 (.f64 (*.f64 w w) r) r)`	overflow	70
`*.f64`	`(.f64 (.f64 w w) r)`	*nu**	10	0
`*.f64`	`(.f64 (.f64 (*.f64 w w) r) r)`	*no**	6	0

Confusion

	Predicted +	Predicted -
+	43	1
-	0	212

Precision

1.0

Recall

0.9772727272727273

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	43	0	1
-	0	0	212

Precision?

1.0

Recall?

0.9772727272727273

Freqs

test

number	freq
0	213
1	41
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 360 to 92 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 19.0ms (48.5% of total)

ival-sub: 9.0ms (23% of total)

ival-div: 6.0ms (15.3% of total)

ival-add: 2.0ms (5.1% of total)

ival-true: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.9%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Status

Accuracy

Program

▶

83.9%

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify435.0ms (3.1%)

Memory

-45.9MiB live, 646.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize90.0ms (0.6%)

Memory

30.1MiB live, 156.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.8%	(.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	95.5%	(/.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	94.4%	(.f64 (.f64 (*.f64 w w) r) r)
✓	accuracy	87.0%	(.f64 (.f64 w w) r)

Samples

65.0ms

256×

valid

Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 29.0ms (59.4% of total)

ival-mult: 13.0ms (26.6% of total)

ival-sub: 4.0ms (8.2% of total)

ival-add: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

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

series27.0ms (0.2%)

Memory

-26.7MiB live, 49.1MiB 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 (*.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 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.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 (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<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)))))>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(* 1/8 (- 3 (* 2 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)

simplify441.0ms (3.2%)

Memory

7.0MiB live, 644.8MiB 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	2580	3578
0	8212	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))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 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)))))

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

rewrite465.0ms (3.4%)

Memory

51.6MiB live, 740.6MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval85.0ms (0.6%)

Memory: -4.2MiB live, 227.0MiB allocated
Compiler: Compiled 29 406 to 2 010 computations (93.2% saved)

prune96.0ms (0.7%)

Memory

-18.2MiB live, 220.2MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	593	22	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	594	22	616

Accuracy

100.0%

Counts

616 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(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))))
	60.7%	(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)))
	30.2%	(/.f64 (fma.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)))) (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 -81/4 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)))
	31.1%	(/.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 (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 #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 (.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))))
	93.8%	(-.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))
	91.5%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.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)))) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	92.3%	(-.f64 (-.f64 (+.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))) r) (.f64 w (.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
▶	93.8%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	83.9%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	76.6%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
	78.3%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))
▶	97.0%	(-.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)))
	46.7%	(-.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))
	52.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)))
	53.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 r (.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r)))
▶	43.5%	#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)))
▶	77.0%	#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 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
▶	76.0%	#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))))
	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))))
	87.2%	#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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	58.1%	#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))))
	34.9%	#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 (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))

Compiler

Compiled 1 294 to 764 computations (41% saved)

simplify533.0ms (3.9%)

Memory

11.9MiB live, 712.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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 w (.f64 (*.f64 r w) 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 w (.f64 (*.f64 r w) 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)))
✓	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 #s(literal 3/8 binary64) (.f64 r r)) #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 #s(literal 3/8 binary64) (.f64 r r)) #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

26 114×	`lower-fma.f32`
26 106×	`lower-fma.f64`
7 016×	`lower-*.f32`
6 990×	`lower-*.f64`
2 292×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	513
0	96	500
1	211	489
2	509	484
3	2113	484
4	5463	484
0	8276	467

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

localize255.0ms (1.8%)

Memory

16.1MiB live, 248.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	95.8%	(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r)))
✓	accuracy	95.6%	(.f64 w (.f64 (*.f64 r w) r))
✓	accuracy	95.5%	(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	94.4%	(.f64 r (.f64 r (*.f64 w w)))
✓	accuracy	87.0%	(.f64 r (.f64 w w))
✓	accuracy	79.5%	#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	99.7%	(.f64 #s(literal 3/8 binary64) (.f64 r r))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	93.5%	#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 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
✓	accuracy	82.0%	(fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	43.6%	#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	99.9%	(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	99.8%	(.f64 w (.f64 r w))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	91.9%	(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))

Samples

120.0ms

256×

valid

Compiler

Compiled 481 to 56 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 29.0ms (53.6% of total)

ival-sub: 9.0ms (16.6% of total)

ival-div: 8.0ms (14.8% of total)

ival-add: 7.0ms (12.9% of total)

exact: 1.0ms (1.8% of total)

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

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

series50.0ms (0.4%)

Memory

-30.0MiB live, 46.7MiB 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 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))>
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #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 (.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 w (.f64 (*.f64 r w) 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 w (.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v)))>
#<alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))>
#<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 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))>
#<alt (.f64 #s(literal 3/8 binary64) (.f64 r r))>
#<alt (.f64 r (.f64 w w))>
#<alt (.f64 r (.f64 r (*.f64 w w)))>
#<alt (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))>
#<alt (.f64 w (.f64 (*.f64 r w) r))>
#<alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r)))>

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

Calls

156 calls:

Time	Variable		Point	Expression
16.0ms	v	@	-inf	(- (+ 3 (/ 2 (* r r))) (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2))
3.0ms	r	@	0	(- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2))
1.0ms	w	@	0	(- (+ 3 (/ 2 (* r r))) (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2))
1.0ms	v	@	0	(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2))
1.0ms	w	@	inf	(- (+ 3 (/ 2 (* r r))) (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2))

simplify626.0ms (4.5%)

Memory

44.2MiB live, 670.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 126×	`lower-fma.f64`
18 126×	`lower-fma.f32`
5 652×	`lower-*.f64`
5 652×	`lower-*.f32`
4 110×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	11811
1	1172	10993
2	3961	10445
0	8273	9829

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)))))
(- (+ (* -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)))))
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3/8
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(* -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)))))

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

rewrite394.0ms (2.8%)

Memory

-8.3MiB live, 700.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 916×	`lower-*.f32`
3 890×	`lower-*.f64`
3 832×	`lower-/.f32`
3 824×	`lower-/.f64`
3 408×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	386
0	96	373
1	427	331
2	3360	331
0	8275	308

Stop Event

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

Counts

24 → 749

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

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

eval311.0ms (2.2%)

Memory: 9.5MiB live, 527.7MiB allocated
Compiler: Compiled 61 543 to 2 859 computations (95.4% saved)

prune185.0ms (1.3%)

Memory

-0.1MiB live, 557.6MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 633	17	1 650
Fresh	11	6	17
Picked	4	1	5
Done	0	0	0
Total	1 648	24	1 672

Accuracy

100.0%

Counts

1 672 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.7%	(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 (/.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)))
	30.2%	(/.f64 (fma.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)))) (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 -81/4 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)))
	91.5%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.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)))) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
▶	92.3%	(-.f64 (-.f64 (+.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))) r) (.f64 w (.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	52.2%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	46.7%	(-.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))
	56.6%	(-.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)))
▶	79.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 r (.f64 r w))) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	85.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (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)))))
▶	83.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	43.5%	#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))
	46.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 r (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 (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))))
	45.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.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 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w))))) #s(literal 27/512 binary64) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.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 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)))))))
✓	43.5%	#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)))
	82.2%	#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)) (fma.f64 (.f64 (.f64 w w) (.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64))))
	82.1%	#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))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
▶	58.1%	#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) (* 3/8 (* r r))) 3/2) #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))))
	87.2%	#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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	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) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (.f64 (*.f64 w w) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))))
	42.8%	#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) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
	33.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	26.3%	#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 w w) (.f64 (.f64 r r) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))))
▶	13.9%	#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)) (.f64 (.f64 r (.f64 r (.f64 w w))) (/.f64 #s(literal 1/8 binary64) v))))

Compiler

Compiled 1 272 to 702 computations (44.8% saved)

simplify296.0ms (2.1%)

Memory

14.3MiB live, 460.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

10 870×	`lower-fma.f32`
10 864×	`lower-fma.f64`
7 208×	`lower-*.f32`
7 184×	`lower-*.f64`
1 612×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	576
0	98	573
1	216	560
2	552	550
3	1744	550
4	5296	550
0	8131	531

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

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

localize314.0ms (2.3%)

Memory

-15.7MiB live, 220.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	94.7%	(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 r (.f64 r w))) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
✓	accuracy	94.6%	(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 r (*.f64 r w)))
✓	accuracy	79.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 r (.f64 r w))) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	94.4%	(.f64 r (.f64 r (*.f64 w w)))
✓	accuracy	93.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
✓	accuracy	87.0%	(.f64 r (.f64 w w))
✓	accuracy	91.9%	(.f64 (.f64 r (.f64 r (.f64 w w))) (/.f64 #s(literal 1/8 binary64) v))
✓	accuracy	87.0%	(.f64 r (.f64 w w))
✓	accuracy	79.5%	#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 (.f64 r (.f64 w w))) (/.f64 #s(literal 1/8 binary64) v))))
✓	accuracy	30.5%	#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r (.f64 r (.f64 w w))) (/.f64 #s(literal 1/8 binary64) v)))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	93.5%	#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) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
✓	accuracy	53.3%	#s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))
✓	accuracy	99.8%	(.f64 w (.f64 r w))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	95.5%	(/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	92.5%	(.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (*.f64 r w)))

Samples

75.0ms	235×	0	valid
12.0ms	12×	1	valid
7.0ms	9×	2	valid

Compiler

Compiled 479 to 60 computations (87.5% saved)

Precisions

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

ival-mult: 32.0ms (47.7% of total)

ival-div: 12.0ms (17.9% of total)

ival-add: 10.0ms (14.9% of total)

ival-sub: 9.0ms (13.4% of total)

adjust: 3.0ms (4.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series79.0ms (0.6%)

Memory

3.4MiB live, 40.3MiB allocated

Counts

23 → 636

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

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

Calls

159 calls:

Time	Variable		Point	Expression
50.0ms	w	@	-inf	(* w (* r w))
1.0ms	v	@	0	(* (* r (* r (* w w))) (/ 1/8 v))
1.0ms	r	@	0	(* (+ (/ 1/8 v) -1/4) (* r (* r w)))
1.0ms	v	@	inf	(* (* r (* r (* w w))) (/ 1/8 v))
1.0ms	w	@	0	(* (+ (/ 1/8 v) -1/4) (* r (* r w)))

simplify456.0ms (3.3%)

Memory

-2.8MiB live, 793.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 066×	`lower-fma.f64`
18 066×	`lower-fma.f32`
5 824×	`lower-+.f64`
5 824×	`lower-+.f32`
4 698×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	12437
1	996	11863
2	3209	10727
0	8451	10132

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

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)))))
(/ 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 (* -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)))
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(* 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)))
(* 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
(+ 3/2 (* 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))))
(* 3/8 (* (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
(+ 3/2 (* 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))))
(* 3/8 (* (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)))))

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

rewrite347.0ms (2.5%)

Memory

-15.1MiB live, 550.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 058×	`lower-*.f32`
4 046×	`lower-fma.f32`
4 040×	`lower-fma.f64`
4 034×	`lower-*.f64`
3 648×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	460
0	98	457
1	442	407
2	3509	407
0	8382	373

Stop Event

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

Counts

23 → 572

Calls

Call 1

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

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

eval193.0ms (1.4%)

Memory: 51.2MiB live, 356.4MiB allocated
Compiler: Compiled 43 170 to 2 315 computations (94.6% saved)

prune274.0ms (2%)

Memory

-37.2MiB live, 284.0MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1 418	18	1 436
Fresh	9	9	18
Picked	4	1	5
Done	0	1	1
Total	1 431	29	1 460

Accuracy

100.0%

Counts

1 460 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r (.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r (.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
▶	96.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (*.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) #s(literal 9/2 binary64))
▶	52.2%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	52.2%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
▶	46.7%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	56.6%	(-.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)))
	85.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (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)))))
	76.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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))))
	92.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r w)) w (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	92.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
▶	90.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	50.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 (.f64 w (.f64 r (.f64 r w))) (.f64 (.f64 w (.f64 r (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 w (.f64 r (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 w (.f64 r (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal 3/2 binary64)) (.f64 r r))))
	43.5%	#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))
	23.6%	#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) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))))
	46.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 r (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 (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))))
	45.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.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 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w))))) #s(literal 27/512 binary64) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.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 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)))))))
✓	43.5%	#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)))
	82.2%	#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)) (fma.f64 (.f64 (.f64 w w) (.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64))))
	82.1%	#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))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
	68.2%	#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) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 w w)))))))
✓	58.1%	#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) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
	42.8%	#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) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
	33.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	10.5%	#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 1/8 binary64) v) (.f64 w (.f64 r (.f64 r w))))))
▶	10.5%	#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 r w)) (/.f64 #s(literal 1/8 binary64) v))))
	10.9%	#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)) (.f64 (.f64 r (.f64 (.f64 r w) w)) (/.f64 #s(literal 1/8 binary64) v))))
	30.0%	#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 (.f64 r (.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))
	52.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (fma.f64 (.f64 r r) (fma.f64 #s(literal -1/4 binary64) (.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))))
	34.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)))))

Compiler

Compiled 1 450 to 770 computations (46.9% saved)

simplify741.0ms (5.4%)

Memory

-272.0MiB live, 486.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
✓	cost-diff	128	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
✓	cost-diff	320	(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 (.f64 r w) w)
✓	cost-diff	0	(.f64 r (.f64 (*.f64 r w) w))
✓	cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 (.f64 r w) w)) (+.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 #s(literal -1/4 binary64) (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
✓	cost-diff	0	(.f64 (.f64 r w) (*.f64 r w))
✓	cost-diff	0	(.f64 (.f64 (.f64 r w) (.f64 r w)) (/.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 (.f64 r w) (.f64 r w)) (/.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 (.f64 r w) (.f64 r w)) (/.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	#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	cost-diff	0	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 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	128	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (*.f64 r w) (/.f64 w (-.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 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (*.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) #s(literal 9/2 binary64))

Rules

12 634×	`lower-fma.f32`
12 628×	`lower-fma.f64`
6 882×	`lower-*.f32`
6 856×	`lower-*.f64`
2 676×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	562
0	108	556
1	240	540
2	696	534
3	2413	534
4	7666	534
0	8234	524

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

localize203.0ms (1.5%)

Memory

-11.5MiB live, 355.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 w (.f64 r w))
✓	accuracy	95.5%	(/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	92.5%	(.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (*.f64 r w)))
✓	accuracy	54.0%	#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 r w) w)
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	94.4%	(.f64 r (.f64 (*.f64 r w) w))
✓	accuracy	93.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
✓	accuracy	99.7%	(.f64 (.f64 r w) (*.f64 r w))
✓	accuracy	91.9%	(.f64 (.f64 (.f64 r w) (.f64 r w)) (/.f64 #s(literal 1/8 binary64) v))
✓	accuracy	79.5%	#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 r w)) (/.f64 #s(literal 1/8 binary64) v))))
✓	accuracy	30.5%	#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 (.f64 r w) (.f64 r w)) (/.f64 #s(literal 1/8 binary64) v)))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	100.0%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	43.9%	#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	98.2%	(.f64 (.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))
✓	accuracy	94.6%	(.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (*.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v))))
✓	accuracy	94.4%	(.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))))

Samples

84.0ms	235×	0	valid
9.0ms	12×	1	valid
7.0ms	9×	2	valid

Compiler

Compiled 498 to 61 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 36.0ms (50.2% of total)

ival-add: 11.0ms (15.3% of total)

ival-sub: 11.0ms (15.3% of total)

ival-div: 9.0ms (12.5% of total)

adjust: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

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

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

series59.0ms (0.4%)

Memory

6.4MiB live, 42.5MiB allocated

Counts

25 → 720

Calls

Call 1

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

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

Calls

180 calls:

Time	Variable		Point	Expression
7.0ms	r	@	0	(- (- (+ 3 (/ 2 (* r r))) (* r (* (+ (* v -1/4) 3/8) (* (* r w) (/ w (- 1 v)))))) 9/2)
2.0ms	v	@	inf	(- (- (+ 3 (/ 2 (* r r))) (* r (* (+ (* v -1/4) 3/8) (* (* r w) (/ w (- 1 v)))))) 9/2)
1.0ms	r	@	0	(* r (* (+ (* v -1/4) 3/8) (* (* r w) (/ w (- 1 v)))))
1.0ms	w	@	0	(* (+ (* v -1/4) 3/8) (* (* r w) (/ w (- 1 v))))
1.0ms	v	@	-inf	(- (- (+ 3 (/ 2 (* r r))) (* r (* (+ (* v -1/4) 3/8) (* (* r w) (/ w (- 1 v)))))) 9/2)

simplify710.0ms (5.1%)

Memory

9.1MiB live, 811.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 862×	`lower-fma.f64`
17 862×	`lower-fma.f32`
5 050×	`lower-*.f64`
5 050×	`lower-*.f32`
3 228×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	14636
1	1785	13717
2	6151	13585
0	8348	12799

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

Calls

Call 1

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

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

rewrite415.0ms (3%)

Memory

15.8MiB live, 604.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 246×	`lower-*.f32`
4 220×	`lower-*.f64`
3 916×	`lower-/.f32`
3 908×	`lower-/.f64`
3 676×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	468
0	108	432
1	480	408
2	4086	408
0	9280	388

Stop Event

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

Counts

25 → 640

Calls

Call 1

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

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

eval241.0ms (1.7%)

Memory: 27.8MiB live, 439.3MiB allocated
Compiler: Compiled 43 157 to 2 771 computations (93.6% saved)

prune181.0ms (1.3%)

Memory

-15.2MiB live, 466.5MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1 464	6	1 470
Fresh	7	15	22
Picked	2	3	5
Done	0	2	2
Total	1 473	26	1 499

Accuracy

100.0%

Counts

1 499 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r (.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r (.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
	39.2%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) r) (.f64 w (.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	54.3%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) r))) #s(literal 9/2 binary64))
	55.8%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) #s(literal 9/2 binary64))
✓	46.7%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	54.3%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 r (.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)))
	85.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (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)))))
	92.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r w)) w (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
✓	90.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 (.f64 r w) w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	50.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 (.f64 w (.f64 r (.f64 r w))) (.f64 (.f64 w (.f64 r (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 w (.f64 r (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 w (.f64 r (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal 3/2 binary64)) (.f64 r r))))
	43.5%	#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))
	23.6%	#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) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))))
	46.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 r (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 (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))))
	45.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.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 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w))))) #s(literal 27/512 binary64) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.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 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64)))))))
✓	43.5%	#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)))
	82.2%	#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)) (fma.f64 (.f64 (.f64 w w) (.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64))))
	68.2%	#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) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 w w)))))))
✓	58.1%	#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) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
	42.8%	#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) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
	33.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	10.5%	#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 1/8 binary64) v) (.f64 w (.f64 r (.f64 r w))))))
✓	10.5%	#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 r w)) (/.f64 #s(literal 1/8 binary64) v))))
	10.9%	#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)) (.f64 (.f64 r (.f64 (.f64 r w) w)) (/.f64 #s(literal 1/8 binary64) v))))
	30.0%	#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 (.f64 r (.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))
	53.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* r (* (* r w) w))) (+ -3/2 (/ 2 (* r r)))) (fma.f64 (.f64 r r) (fma.f64 w (.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))))
	34.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* r (* (* r w) w))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))))

Compiler

Compiled 2 143 to 595 computations (72.2% saved)

regimes120.0ms (0.9%)

Memory

6.9MiB live, 255.4MiB 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) (/.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) (* 3/8 (* r r))) 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))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.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 (+ (* -1/4 (* r (* (* r w) w))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 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) (* 3/8 (* r r))) 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) (* 3/8 (* r r))) 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) (/.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 (fma.f64 r (.f64 r #s(literal -3/2 binary64)) #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)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r (.f64 r (.f64 w w))) (/.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 r (.f64 (.f64 r w) w)) (/.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 r w)) (/.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 1/8 binary64) v) (.f64 w (.f64 r (.f64 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 (.f64 r (.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 w w) (.f64 (.f64 r r) (+.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) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 w 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) (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 (.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) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #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 w w) (.f64 r #s(literal 3/8 binary64))) r #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 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.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 #s(literal -1/4 binary64) (.f64 r (.f64 (.f64 r w) w)) (+.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 #s(literal -1/4 binary64)) w) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #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 (.f64 r #s(literal -1/4 binary64)) (.f64 r w)) w (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #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 (.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)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (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)))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) 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)) (fma.f64 r (.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) 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) (.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) #s(literal 9/2 binary64))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) 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) (+.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))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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)))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#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) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 r (.f64 r w))) w (+.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 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) (.f64 #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (*.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.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 (.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 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #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 #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 (/.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 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 r (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 (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 (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (fma.f64 (.f64 r r) (fma.f64 #s(literal -1/4 binary64) (.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* r (* (* r w) w))) (+ -3/2 (/ 2 (* r r)))) (fma.f64 (.f64 r r) (fma.f64 w (.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))))
#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) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (.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) (fma.f64 (.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (.f64 (.f64 w (.f64 r (.f64 r w))) (.f64 (.f64 w (.f64 r (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 w (.f64 r (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 w (.f64 r (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) #s(literal 3/2 binary64)) (.f64 r r))))
(/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r (.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r (.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(/.f64 (fma.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)))) (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 -81/4 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 (+.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 #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 #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 (.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 (.f64 #s(literal 2 binary64) (-.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 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w))))) #s(literal 27/512 binary64) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.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 (.f64 w w) (.f64 (.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)))))

(-.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

6 calls:

27.0ms	w
20.0ms	(*.f64 w w)
19.0ms	v
18.0ms	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
97.0%	1	`v`
99.8%	2	`w`
99.8%	2	`r`
99.0%	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))`
99.0%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
99.5%	2	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes86.0ms (0.6%)

Memory

13.6MiB live, 89.2MiB allocated

Counts

45 → 2

Calls

Call 1

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

3 calls:

48.0ms	r
22.0ms	(*.f64 w w)
12.0ms	w

Results

Accuracy	Segments	Branch
98.3%	2	`(*.f64 w w)`
98.5%	2	`w`
99.2%	2	`r`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes69.0ms (0.5%)

Memory

15.0MiB live, 167.1MiB allocated

Counts

36 → 2

Calls

Call 1

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

Calls

6 calls:

16.0ms	r
12.0ms	v
12.0ms	w
10.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
9.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
92.9%	1	`(*.f64 w w)`
92.9%	1	`w`
92.9%	1	`v`
99.1%	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))`
99.1%	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)))`
97.9%	2	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes56.0ms (0.4%)

Memory

-26.0MiB live, 85.8MiB allocated

Counts

32 → 3

Calls

Call 1

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

Calls

3 calls:

12.0ms

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

9.0ms

8.0ms

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

Results

Accuracy	Segments	Branch
99.1%	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))`
99.1%	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)))`
96.8%	2	`r`

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes68.0ms (0.5%)

Memory

32.5MiB live, 71.7MiB allocated

Counts

29 → 1

Calls

Call 1

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

Calls

4 calls:

43.0ms	r
9.0ms	v
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)))
7.0ms	(-.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
92.9%	1	`v`
92.9%	1	`r`
92.9%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
92.9%	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 70 to 48 computations (31.4% saved)

regimes127.0ms (0.9%)

Memory

-31.9MiB live, 88.7MiB allocated

Counts

24 → 2

Calls

Call 1

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

Calls

6 calls:

53.0ms	(-.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)))
16.0ms	r
7.0ms	w
7.0ms	v
6.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
93.0%	2	`w`
92.5%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
92.5%	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)))`
93.0%	2	`(*.f64 w w)`
90.5%	1	`v`
92.9%	2	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes14.0ms (0.1%)

Memory

32.5MiB live, 32.5MiB allocated

Counts

21 → 2

Calls

Call 1

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

Calls

2 calls:

6.0ms	w
6.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
93.0%	2	`w`
93.0%	2	`(*.f64 w w)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes54.0ms (0.4%)

Memory

-32.9MiB live, 78.2MiB allocated

Counts

19 → 3

Calls

Call 1

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

6 calls:

23.0ms	r
7.0ms	(*.f64 w w)
6.0ms	v
6.0ms	w
5.0ms	(-.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
87.2%	1	`v`
93.0%	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))`
93.0%	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)))`
87.2%	1	`r`
90.8%	2	`w`
90.8%	2	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes26.0ms (0.2%)

Memory

-19.0MiB live, 56.0MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

4 calls:

8.0ms	w
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)))
5.0ms	(*.f64 w w)
5.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
79.6%	2	`w`
79.6%	2	`(*.f64 w w)`
90.6%	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))`
90.6%	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 72 to 49 computations (31.9% saved)

regimes22.0ms (0.2%)

Memory

24.2MiB live, 63.1MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

6.0ms	r
5.0ms	v
5.0ms	(-.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)))
5.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
61.6%	2	`v`
82.9%	2	`r`
88.4%	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))`
88.4%	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 70 to 48 computations (31.4% saved)

regimes17.0ms (0.1%)

Memory

3.2MiB live, 45.4MiB 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) (/.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) (* 3/8 (* r r))) 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))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
2.0ms	r
2.0ms	v
2.0ms	w
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
58.1%	1	`v`
58.1%	1	`w`
58.1%	1	`(*.f64 w w)`
58.1%	1	`r`
58.1%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
58.1%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory

-9.9MiB live, 29.6MiB 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) (/.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)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
43.5%	1	`r`
43.5%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
43.5%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
43.5%	1	`v`
43.5%	1	`w`
43.5%	1	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch7.0ms (0%)

Memory

-21.0MiB live, 18.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	3.6513702392798636e-128	2.8002695960309705e-126

Samples

4.0ms

32×

valid

Compiler

Compiled 137 to 98 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (65.2% of total)

ival-sub: 1.0ms (32.6% of total)

ival-div: 0.0ms (0% 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)

bsearch22.0ms (0.2%)

Memory

26.2MiB live, 65.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	468043.02952841046	145154166.56248555

Samples

13.0ms

128×

valid

Compiler

Compiled 395 to 276 computations (30.1% saved)

Precisions

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

ival-mult: 5.0ms (50.6% of total)

ival-div: 2.0ms (20.2% of total)

ival-sub: 2.0ms (20.2% of total)

ival-add: 1.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	468043.02952841046	145154166.56248555

Compiler

Compiled 387 to 276 computations (28.7% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.0000000000091296
0.0ms	-inf	-1.0971992863647523e+299

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.944198539094083e+43	1.9885410083642137e+54

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.944198539094083e+43	1.9885410083642137e+54

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch3.0ms (0%)

Memory

-38.9MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.3413771863699626e+20	2.9999522864524932
0.0ms	-inf	-1.0971992863647523e+299

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.3413771863699626e+20	2.9999522864524932
0.0ms	-inf	-1.0971992863647523e+299

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1890716436194125e+29	-2.3413771863699626e+20

Compiler

Compiled 35 to 28 computations (20% saved)

simplify34.0ms (0.2%)

Memory

19.7MiB live, 56.7MiB allocated

Algorithm

1×	egg-herbie

Rules

370×	`unsub-neg_binary64`
240×	`neg-mul-1_binary64`
130×	`*-commutative_binary64`
122×	`distribute-lft-neg-in_binary64`
106×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1253
1	186	1253
2	235	1253
3	281	1253
4	339	1253
5	406	1253
6	566	1253
7	837	1253
8	998	1253
9	1023	1253
10	1025	1253

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 r #s(literal 3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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 (+.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 75000000 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 75000000 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 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) #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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 ( r r))) #s(literal 3 binary64)) (fma.f64 r (.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) 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) (+.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 #s(literal -1/4 binary64)) w) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 (.f64 w w) #s(literal 100000000000000008821361405306422640701865984 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 w w) (.f64 r #s(literal 3/8 binary64))) r #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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 (.f64 w w) #s(literal 100000000000000008821361405306422640701865984 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))) #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 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 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))))) (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 -200000000000000000000 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) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 w 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))))))
(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 (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w 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 -200000000000000000000 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) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 w 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))))))
(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 -99999999999999991433150857216 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.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) (+.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))))
#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
(if (<=.f64 r #s(literal 3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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 (+.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 3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 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 #s(literal -1/4 binary64) (.f64 r r))) w (/.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 75000000 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 75000000 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 #s(literal -1/4 binary64) (.f64 r r))) 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 75000000 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 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) #s(literal 9/2 binary64)))
(if (<=.f64 r #s(literal 75000000 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 #s(literal -1/4 binary64) (.f64 r r))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 (+.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 r w) (/.f64 w (+.f64 v #s(literal -1 binary64))))))) #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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 ( r r))) #s(literal 3 binary64)) (fma.f64 r (.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) 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) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w (.f64 r #s(literal -1/4 binary64))) (.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 ( r r))) #s(literal 3 binary64)) (fma.f64 r (.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (.f64 r (.f64 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 #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 #s(literal -1/4 binary64)) w) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #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 w (.f64 r #s(literal -1/4 binary64))) (.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(if (<=.f64 (.f64 w w) #s(literal 100000000000000008821361405306422640701865984 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 w w) (.f64 r #s(literal 3/8 binary64))) r #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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 (.f64 w w) #s(literal 100000000000000008821361405306422640701865984 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 w w) (.f64 r #s(literal 3/8 binary64))) r #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) (fma.f64 (.f64 w (.f64 #s(literal -1/4 binary64) (.f64 r r))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 (.f64 w w) #s(literal 100000000000000008821361405306422640701865984 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))) #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 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 (.f64 w w) #s(literal 100000000000000008821361405306422640701865984 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))) #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 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 #s(literal -1/4 binary64) (.f64 r r))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 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))))) (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 -200000000000000000000 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) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 w 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))))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 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 #s(literal -1/4 binary64) (.f64 r r))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -200000000000000000000 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) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 w 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))))))
(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 (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w 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 -200000000000000000000 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) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 w 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))))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w 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 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -200000000000000000000 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) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 w 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))))))
(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 -99999999999999991433150857216 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.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) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -99999999999999991433150857216 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* r (* r (* w w)))) (+ -3/2 (/ 2 (* r r)))) (.f64 (.f64 r r) (.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) (+.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))))
#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)))

soundness1.7s (12.3%)

Memory

22.0MiB live, 1 511.2MiB allocated

Rules

18 126×	`lower-fma.f64`
18 126×	`lower-fma.f32`
18 066×	`lower-fma.f64`
18 066×	`lower-fma.f32`
17 862×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	14636
1	1785	13717
2	6151	13585
0	8348	12799
0	321	12437
1	996	11863
2	3209	10727
0	8451	10132
0	69	460
0	98	457
1	442	407
2	3509	407
0	8382	373
0	358	11811
1	1172	10993
2	3961	10445
0	8273	9829
0	22	114
0	36	114
1	149	104
2	1353	104
0	8965	94
0	76	468
0	108	432
1	480	408
2	4086	408
0	9280	388
0	61	386
0	96	373
1	427	331
2	3360	331
0	8275	308
0	227	4018
1	745	3856
2	2580	3578
0	8212	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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 367 to 569 computations (58.4% saved)

preprocess192.0ms (1.4%)

Memory: 14.4MiB live, 292.8MiB allocated
Remove: (abs w)
Compiler: Compiled 1 808 to 592 computations (67.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze138.0ms (1%)

sample1.7s (12.5%)

preprocess432.0ms (3.1%)

explain398.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify435.0ms (3.1%)

localize90.0ms (0.6%)

series27.0ms (0.2%)

simplify441.0ms (3.2%)

rewrite465.0ms (3.4%)

eval85.0ms (0.6%)

prune96.0ms (0.7%)

simplify533.0ms (3.9%)

localize255.0ms (1.8%)

series50.0ms (0.4%)

simplify626.0ms (4.5%)

rewrite394.0ms (2.8%)

eval311.0ms (2.2%)

prune185.0ms (1.3%)

simplify296.0ms (2.1%)

localize314.0ms (2.3%)

series79.0ms (0.6%)

simplify456.0ms (3.3%)

rewrite347.0ms (2.5%)

eval193.0ms (1.4%)

prune274.0ms (2%)

simplify741.0ms (5.4%)

localize203.0ms (1.5%)

series59.0ms (0.4%)

simplify710.0ms (5.1%)

rewrite415.0ms (3%)

eval241.0ms (1.7%)

prune181.0ms (1.3%)

regimes120.0ms (0.9%)

regimes86.0ms (0.6%)

regimes69.0ms (0.5%)

regimes56.0ms (0.4%)

regimes68.0ms (0.5%)

regimes127.0ms (0.9%)

regimes14.0ms (0.1%)

regimes54.0ms (0.4%)

regimes26.0ms (0.2%)

regimes22.0ms (0.2%)

regimes17.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch7.0ms (0%)

bsearch22.0ms (0.2%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify34.0ms (0.2%)

soundness1.7s (12.3%)

preprocess192.0ms (1.4%)

end0.0ms (0%)

Profiling