Metrics for Rosa's TurbineBenchmark

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze143.0ms (1.2%)

Memory

9.1MiB live, 175.3MiB 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)

sample1.8s (15.1%)

Memory

-169.0MiB live, 2 504.1MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 660.0ms (64.4% of total)

ival-sub: 182.0ms (17.8% of total)

ival-div: 118.0ms (11.5% of total)

ival-add: 39.0ms (3.8% of total)

exact: 17.0ms (1.7% of total)

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

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

Bogosity

explain472.0ms (3.9%)

Memory

-0.6MiB live, 354.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
32	-	1	(1.1805273785153547e+280 4.297272528029253e-157 -4.7357852184394114e+64)	`(.f64 (.f64 w w) r)`
21	-	0	-	`(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))`
13	-	0	-	`(.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))`
12	-	1	(1.1132371921142728e-55 -4.9814906429909954e-198 1.157913498957696e+79)	`(.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 (.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	21	0
↳	`(.f64 (.f64 w w) r)`	overflow	57
↳	`(*.f64 w w)`	overflow	58
↳	`(.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	61
`*.f64`	`(.f64 (.f64 w w) r)`	*no**	14	0
`*.f64`	`(.f64 (.f64 w w) r)`	*nu**	9	0
`*.f64`	`(.f64 (.f64 (*.f64 w w) r) r)`	*no**	8	0

Confusion

	Predicted +	Predicted -
+	43	0
-	1	212

Precision

0.9772727272727273

Recall

1.0

Confusion?

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

Precision?

0.9772727272727273

Recall?

1.0

Freqs

test

number	freq
0	212
1	36
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 328 to 70 computations (78.7% saved)

Precisions

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

ival-mult: 20.0ms (50.7% of total)

ival-sub: 9.0ms (22.8% of total)

ival-div: 6.0ms (15.2% of total)

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

exact: 1.0ms (2.5% of total)

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

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

preprocess316.0ms (2.6%)

Memory

28.1MiB live, 496.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs r)

(abs w)

Compiler

Compiled 32 to 22 computations (31.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.8%	(-.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 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Status

Accuracy

Program

▶

83.8%

(-.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 (*.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)

simplify286.0ms (2.4%)

Memory

-47.4MiB live, 413.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize54.0ms (0.5%)

Memory

11.8MiB live, 88.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.791283110539466	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	2.8494203821201065	(.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	4.978498599106328	(/.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	7.269417139512842	(.f64 (.f64 w w) r)

Samples

33.0ms

256×

valid

Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions

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

ival-mult: 10.0ms (46.5% of total)

ival-sub: 7.0ms (32.6% of total)

ival-div: 3.0ms (14% of total)

ival-add: 1.0ms (4.7% of total)

exact: 1.0ms (4.7% of total)

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

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

series31.0ms (0.3%)

Memory

13.5MiB live, 57.8MiB allocated

Counts

8 → 216

Calls

Call 1

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

Outputs
#s(alt 3/8 (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 v) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#s(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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())) ())

Calls

54 calls:

Time	Variable		Expression
4.0ms	r	@	(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
1.0ms	r	@	(* (* w w) r)
1.0ms	w	@	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms	v	@	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms	r	@	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)

simplify281.0ms (2.4%)

Memory

-9.0MiB live, 501.5MiB 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))
(* 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)))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))

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

rewrite298.0ms (2.5%)

Memory

25.3MiB live, 527.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

8 → 399

Calls

Call 1

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

eval96.0ms (0.8%)

Memory: -13.4MiB live, 183.0MiB allocated
Compiler: Compiled 29 622 to 2 013 computations (93.2% saved)

prune90.0ms (0.8%)

Memory

30.7MiB live, 191.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

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

Accuracy

100.0%

Counts

616 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.1%	(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))))
	53.6%	(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)))
▶	90.0%	(-.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (.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))
	42.1%	(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w))))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.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))))))) #s(literal 9/2 binary64))
	91.8%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.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))
▶	96.2%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	52.1%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	63.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.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)))
	58.2%	#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)))
▶	49.6%	#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)))
	78.5%	#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))))
▶	79.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
	71.9%	#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))))
▶	89.7%	#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)))))
	60.7%	#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))))
	55.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 r (.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (.f64 w w))))))
	32.4%	#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 924 to 576 computations (37.7% saved)

simplify376.0ms (3.1%)

Memory

15.6MiB live, 407.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff	192	(-.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (.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))
cost-diff	320	(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	704	(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64))
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (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 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
cost-diff	0	(+.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))))
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 -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)))))
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

22 628×	`lower-fma.f32`
22 618×	`lower-fma.f64`
6 648×	`lower-*.f32`
6 626×	`lower-*.f64`
2 722×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	504
0	91	496
1	207	480
2	545	478
3	2391	476
4	6383	476
0	8530	460

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

localize417.0ms (3.5%)

Memory

-12.4MiB live, 308.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 w (.f64 r w))
accuracy	0.47646394059503416	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.6412145091484636	(/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v))
accuracy	4.923072718120893	(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy	0.47646394059503416	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.791283110539466	(.f64 r (.f64 r (*.f64 w w)))
accuracy	7.269417139512842	(.f64 r (.f64 w w))
accuracy	9.069247860767275	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
accuracy	0.47646394059503416	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.1463364270297447	(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
accuracy	2.976587717381525	#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)))))
accuracy	6.466555281556958	(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
accuracy	0	(*.f64 r r)
accuracy	0.47646394059503416	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	32.2021531601891	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy	0.0703125	(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
accuracy	0.1171875	(.f64 w (.f64 r w))
accuracy	0.47646394059503416	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	5.120856784183671	(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))

Samples

206.0ms	237×	0	valid
11.0ms	8×	2	valid
7.0ms	11×	1	valid

Compiler

Compiled 480 to 57 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-mult: 160.0ms (81.8% of total)

ival-div: 12.0ms (6.1% of total)

ival-add: 11.0ms (5.6% of total)

ival-sub: 8.0ms (4.1% of total)

adjust: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series84.0ms (0.7%)

Memory

17.2MiB live, 92.4MiB allocated

Counts

21 → 576

Calls

Call 1

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

Outputs
#s(alt 3/8 (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 v) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 v) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) (taylor 0 v) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 v) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 v) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 v) (#s(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))) (patch (-.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))) #<representation binary64>) () ())) ())
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#s(alt (+ (* r (pow w 2)) (* v (- (* r (* v (pow w 2))) (* -1 (* r (pow w 2)))))) (taylor 0 v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* r (pow w 2)) (* v (- (* v (- (* r (* v (pow w 2))) (* -1 (* r (pow w 2))))) (* -1 (* r (pow w 2)))))) (taylor 0 v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* r (pow w 2)) v)) (taylor inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v) (taylor inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) (pow v 2)))) (/ (* r (pow w 2)) v)) v) (taylor inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -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) (taylor inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* r (pow w 2)) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (pow w 2)) v)) (* r (pow w 2))) v)) (* r (pow w 2))) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (pow w 2)) v) (* -1 (* r (pow w 2)))) v)) (* r (pow w 2))) v)) (* r (pow w 2))) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())

Calls

144 calls:

Time	Variable		Expression
26.0ms	w	@	(* (* -1/4 (* r r)) w)
3.0ms	r	@	(+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))))
1.0ms	w	@	(- (+ 3 (/ 2 (* r r))) (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2))
1.0ms	v	@	(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2))
1.0ms	r	@	(/ (* (* 1/8 (+ (* v -2) 3)) r) -1)

simplify349.0ms (2.9%)

Memory

-34.1MiB live, 435.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 326×	`lower-fma.f64`
19 326×	`lower-fma.f32`
5 152×	`lower-*.f64`
5 152×	`lower-*.f32`
3 318×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	453	10990
1	1460	10317
2	4713	9991
0	8177	9352

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

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

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 (.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 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 (* (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))))))
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(+ (* r (* v (pow w 2))) (* r (pow w 2)))
(.f64 (.f64 w w) (fma.f64 v r r))
(+ (* r (pow w 2)) (* v (- (* r (* v (pow w 2))) (* -1 (* r (pow w 2))))))
(fma.f64 v (.f64 (.f64 w w) (fma.f64 v r r)) (.f64 r (.f64 w w)))
(+ (* r (pow w 2)) (* v (- (* v (- (* r (* v (pow w 2))) (* -1 (* r (pow w 2))))) (* -1 (* r (pow w 2))))))
(fma.f64 v (fma.f64 v (.f64 (.f64 w w) (fma.f64 v r r)) (.f64 r (.f64 w w))) (.f64 r (.f64 w w)))
(* -1 (/ (* r (pow w 2)) v))
(neg.f64 (/.f64 (.f64 r (.f64 w w)) v))
(/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v)
(neg.f64 (/.f64 (.f64 r (fma.f64 w w (/.f64 (.f64 w w) v))) v))
(/ (- (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) (pow v 2)))) (/ (* r (pow w 2)) v)) v)
(/.f64 (fma.f64 r (.f64 w w) (/.f64 (.f64 r (fma.f64 w w (/.f64 (*.f64 w w) v))) v)) (neg.f64 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)
(/.f64 (fma.f64 r (.f64 w w) (/.f64 (fma.f64 r (.f64 w w) (/.f64 (.f64 r (fma.f64 w w (/.f64 (.f64 w w) v))) v)) v)) (neg.f64 v))
(* -1 (/ (* r (pow w 2)) v))
(neg.f64 (/.f64 (.f64 r (.f64 w w)) v))
(* -1 (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v))
(neg.f64 (/.f64 (.f64 r (fma.f64 w w (/.f64 (.f64 w w) v))) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (pow w 2)) v)) (* r (pow w 2))) v)) (* r (pow w 2))) v))
(/.f64 (fma.f64 r (.f64 w w) (/.f64 (.f64 r (fma.f64 w w (/.f64 (*.f64 w w) v))) v)) (neg.f64 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))
(/.f64 (fma.f64 r (.f64 w w) (/.f64 (fma.f64 r (.f64 w w) (/.f64 (.f64 r (fma.f64 w w (/.f64 (.f64 w w) v))) v)) v)) (neg.f64 v))

rewrite313.0ms (2.6%)

Memory

-24.6MiB live, 493.7MiB allocated

Rules

5 502×	`lower-fma.f32`
5 492×	`lower-fma.f64`
4 526×	`lower-*.f32`
4 504×	`lower-*.f64`
3 156×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	358
0	91	350
1	424	309
2	4050	309
0	8271	286

Stop Event

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

Counts

21 → 640

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

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

eval284.0ms (2.4%)

Memory: 49.3MiB live, 348.6MiB allocated
Compiler: Compiled 53 184 to 2 214 computations (95.8% saved)

prune280.0ms (2.3%)

Memory

-25.9MiB live, 428.5MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 513	14	1 527
Fresh	7	5	12
Picked	3	2	5
Done	0	0	0
Total	1 523	21	1 544

Accuracy

100.0%

Counts

1 544 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.8%	(fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 r #s(literal -1 binary64)) (/.f64 (.f64 r (.f64 w w)) (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
	92.1%	(fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (neg.f64 r)) w) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
	43.5%	(-.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64))
	52.1%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	49.8%	(-.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)))
	86.6%	#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)))))
▶	92.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	85.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	50.2%	#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 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) #s(literal -27/8 binary64)) r (.f64 (-.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) #s(literal 9/4 binary64)) (.f64 #s(literal -3/2 binary64) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) (/.f64 #s(literal 2 binary64) r))) (.f64 (-.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) #s(literal 9/4 binary64)) (.f64 #s(literal -3/2 binary64) (.f64 (.f64 r (.f64 w w)) (*.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) r)))
	50.0%	#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 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal 3/2 binary64)) (.f64 r r))))
▶	49.6%	#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) r) r))
✓	49.6%	#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)))
	78.5%	#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))))
▶	85.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
	71.9%	#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))))
✓	89.7%	#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)))))
▶	60.7%	#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))))
	57.1%	#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) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))))))))
▶	32.4%	#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))))
	39.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))))
	31.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)))))

Compiler

Compiled 1 141 to 566 computations (50.4% saved)

simplify252.0ms (2.1%)

Memory

-11.4MiB live, 264.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
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 (.f64 r w) (.f64 r 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 (.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)))
cost-diff	0	#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))))
cost-diff	320	(.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))
cost-diff	0	(/.f64 #s(literal 2 binary64) r)
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) r) r))
cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.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) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff	0	(.f64 r (.f64 r w))
cost-diff	0	(*.f64 w #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 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) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))

Rules

7 436×	`lower-fma.f32`
7 430×	`lower-fma.f64`
6 800×	`lower-*.f32`
6 782×	`lower-*.f64`
1 316×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	431
0	79	426
1	165	426
2	465	411
3	1813	407
4	5450	407
0	8170	393

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (1.5%)

Memory

23.5MiB live, 256.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.029628759768442016	(fma.f64 (.f64 (.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
accuracy	0.24837875976844204	(.f64 (.f64 r w) (*.f64 r w))
accuracy	0.4764639405950341	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	9.069247860767275	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
accuracy	0.16796875	(.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
accuracy	5.169239227292578	(/.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))
accuracy	14.750378865688884	(.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)))
accuracy	38.21639500300493	#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))))
accuracy	0	(/.f64 #s(literal 2 binary64) r)
accuracy	0.1171875	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy	32.2021531601891	#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))
accuracy	0	(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy	0	(*.f64 r r)
accuracy	0.4764639405950341	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	25.106671283500894	#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))))
accuracy	0.1484375	(.f64 r (.f64 r w))
accuracy	0.4764639405950341	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.1346176770297447	(fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
accuracy	2.976587717381525	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))

Samples

78.0ms	238×	0	valid
7.0ms	10×	2	valid
4.0ms	8×	1	valid

Compiler

Compiled 371 to 51 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 32.0ms (54% of total)

ival-div: 10.0ms (16.9% of total)

ival-add: 8.0ms (13.5% of total)

ival-sub: 6.0ms (10.1% of total)

adjust: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

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

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

series91.0ms (0.8%)

Memory

-15.6MiB live, 96.1MiB allocated

Counts

20 → 504

Calls

Call 1

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

Outputs
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) (taylor inf w) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2))))) (taylor inf w) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2))))) (taylor inf w) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2))))) (taylor inf w) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) (taylor -inf w) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (taylor 0 v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v) (taylor 0 v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v) (taylor 0 v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v) (taylor 0 v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) (taylor inf v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) (taylor inf v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) (taylor inf v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) (taylor inf v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) (taylor -inf v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) (taylor -inf v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) (taylor -inf v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2) (taylor -inf v) (#s(alt (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (.f64 (.f64 r w) (.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Expression
41.0ms	w	@	(* (* r r) (/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v)))
6.0ms	w	@	(/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v))
1.0ms	r	@	(* r (* r w))
1.0ms	r	@	(* (* r r) (/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v)))
0.0ms	v	@	(/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v))

simplify426.0ms (3.6%)

Memory

49.0MiB live, 599.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 784×	`lower-fma.f64`
15 784×	`lower-fma.f32`
5 660×	`lower-*.f64`
5 660×	`lower-*.f32`
4 882×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	9773
1	903	9146
2	3004	8531
0	8466	8035

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

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

rewrite322.0ms (2.7%)

Memory

-17.1MiB live, 476.0MiB allocated

Rules

4 600×	`lower-/.f32`
4 590×	`lower-/.f64`
3 728×	`lower-*.f32`
3 710×	`lower-*.f64`
3 180×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	354
0	79	331
1	341	329
2	3250	329
0	8602	311

Stop Event

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

Counts

20 → 441

Calls

Call 1

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

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

eval216.0ms (1.8%)

Memory: -19.7MiB live, 288.4MiB allocated
Compiler: Compiled 29 451 to 1 422 computations (95.2% saved)

prune266.0ms (2.2%)

Memory

3.3MiB live, 404.6MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 082	9	1 091
Fresh	5	9	14
Picked	1	4	5
Done	0	2	2
Total	1 088	24	1 112

Accuracy

100.0%

Counts

1 112 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.8%	(fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 r #s(literal -1 binary64)) (/.f64 (.f64 r (.f64 w w)) (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
	92.1%	(fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (neg.f64 r)) w) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
▶	43.5%	(-.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64))
	52.1%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	49.8%	(-.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)))
	86.6%	#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)))))
✓	92.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
▶	95.2%	#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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
▶	85.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	50.2%	#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 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) #s(literal -27/8 binary64)) r (.f64 (-.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) #s(literal 9/4 binary64)) (.f64 #s(literal -3/2 binary64) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) (/.f64 #s(literal 2 binary64) r))) (.f64 (-.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) #s(literal 9/4 binary64)) (.f64 #s(literal -3/2 binary64) (.f64 (.f64 r (.f64 w w)) (*.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) r)))
	50.0%	#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 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal 3/2 binary64)) (.f64 r r))))
✓	49.6%	#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) r) r))
✓	49.6%	#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)))
✓	89.7%	#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)))))
✓	60.7%	#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))))
	57.1%	#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) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))))))))
✓	32.4%	#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))))
	23.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (/.f64 #s(approx (* -1/8 (* w (* w (+ (* v -2) 3)))) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 w w) v))) (-.f64 #s(literal 1 binary64) v))))
	31.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) #s(approx (/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v)) (.f64 (.f64 w w) #s(literal -1/4 binary64)))))
	29.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) #s(approx (/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v)) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	18.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* (* r w) (* r w)) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r (.f64 r (.f64 w w))) (/.f64 #s(literal 1/8 binary64) v))))
▶	39.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
▶	12.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))
	23.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* r r) (/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v))) (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))

Compiler

Compiled 1 129 to 550 computations (51.3% saved)

simplify506.0ms (4.2%)

Memory

32.7MiB live, 333.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #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)))
cost-diff	704	(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64))
cost-diff	0	(.f64 r (.f64 w w))
cost-diff	0	(.f64 r (.f64 r (*.f64 w w)))
cost-diff	0	(fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 2 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) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
cost-diff	0	(*.f64 r r)
cost-diff	0	(fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
cost-diff	0	#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
cost-diff	0	#s(approx (+ -3/2 (/ 2 (* 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) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))
cost-diff	0	(*.f64 w #s(literal -1/4 binary64))
cost-diff	0	(.f64 r (.f64 w #s(literal -1/4 binary64)))
cost-diff	0	(fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 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) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))

Rules

8 282×	`lower-fma.f32`
8 272×	`lower-fma.f64`
5 238×	`lower-*.f32`
5 216×	`lower-*.f64`
2 848×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	476
0	90	470
1	202	461
2	450	450
3	1515	447
4	5365	447
0	8253	434

Stop Event

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

Calls

Call 1

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

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

localize233.0ms (1.9%)

Memory

15.4MiB live, 326.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 w (.f64 r w))
accuracy	2.6412145091484636	(/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v))
accuracy	4.923072718120893	(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) #s(literal -1 binary64)) (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)))
accuracy	34.05870116520085	#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
accuracy	0.47646394059503416	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.791283110539466	(.f64 r (.f64 r (*.f64 w w)))
accuracy	2.976587717381525	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
accuracy	7.269417139512842	(.f64 r (.f64 w w))
accuracy	0.2052990078190221	(.f64 (.f64 w w) #s(literal -1/4 binary64))
accuracy	2.976587717381525	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
accuracy	9.984383902613347	(fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
accuracy	31.73580281763847	#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
accuracy	25.106671283500894	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))
accuracy	35.279084831058015	#s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64))
accuracy	0	(*.f64 r r)
accuracy	0.10384750976844201	(fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
accuracy	0.47646394059503416	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.976587717381525	#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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))

Samples

148.0ms	237×	0	valid
6.0ms	11×	1	valid
6.0ms	8×	2	valid

Compiler

Compiled 397 to 55 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-div: 55.0ms (42.1% of total)

ival-add: 34.0ms (26% of total)

ival-mult: 33.0ms (25.2% of total)

ival-sub: 6.0ms (4.6% of total)

adjust: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series46.0ms (0.4%)

Memory

-13.5MiB live, 105.1MiB allocated

Counts

23 → 552

Calls

Call 1

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

Outputs
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) (taylor 0 v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 v) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (pow w 2)) (taylor -inf w) (#s(alt (.f64 (.f64 w w) #s(literal -1/4 binary64)) (patch (.f64 (.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor inf r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 2 (/ 1 (pow r 2)))) (taylor inf r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 2 (/ 1 (pow r 2)))) (taylor inf r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 2 (/ 1 (pow r 2)))) (taylor inf r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor -inf r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 2 (/ 1 (pow r 2)))) (taylor -inf r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 2 (/ 1 (pow r 2)))) (taylor -inf r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 2 (/ 1 (pow r 2)))) (taylor -inf r) (#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor 0 w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor 0 w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor 0 w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor 0 w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor inf w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor inf w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor inf w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor inf w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor -inf w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor -inf w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor -inf w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor -inf w) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor 0 r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor inf r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor inf r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor inf r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor inf r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor -inf r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor -inf r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor -inf r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (pow w 2)) (- 1 v)) (taylor -inf r) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* r (* v (pow w 2))) (* r (pow w 2))) (taylor 0 v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* r (pow w 2)) (* v (- (* r (* v (pow w 2))) (* -1 (* r (pow w 2)))))) (taylor 0 v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* r (pow w 2)) (* v (- (* v (- (* r (* v (pow w 2))) (* -1 (* r (pow w 2))))) (* -1 (* r (pow w 2)))))) (taylor 0 v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* r (pow w 2)) v)) (taylor inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) v))) v) (taylor inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (* r (pow w 2))) (* -1 (/ (* r (pow w 2)) (pow v 2)))) (/ (* r (pow w 2)) v)) v) (taylor inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -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) (taylor inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* r (pow w 2)) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* r (pow w 2)) (/ (* r (pow w 2)) v)) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (pow w 2)) v)) (* r (pow w 2))) v)) (* r (pow w 2))) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (pow w 2)) v) (* -1 (* r (pow w 2)))) v)) (* r (pow w 2))) v)) (* r (pow w 2))) v)) (taylor -inf v) (#s(alt (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())) ())

Calls

138 calls:

Time	Variable		Point	Expression
0.0ms	r	@	0	(* r (* w -1/4))
0.0ms	w	@	0	(* r (* w -1/4))
0.0ms	w	@	inf	(* r (* w -1/4))
0.0ms	r	@	inf	(* r (* w -1/4))
0.0ms	r	@	-inf	(* r (* w -1/4))

simplify409.0ms (3.4%)

Memory

-24.5MiB live, 602.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 890×	`lower-fma.f64`
15 890×	`lower-fma.f32`
4 598×	`lower-*.f64`
4 598×	`lower-*.f32`
4 562×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	9708
1	1021	9366
2	3314	8617
0	8223	8093

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

rewrite272.0ms (2.3%)

Memory

-11.3MiB live, 516.7MiB allocated

Rules

4 390×	`lower-fma.f32`
4 380×	`lower-fma.f64`
4 212×	`lower-/.f32`
4 206×	`lower-/.f64`
3 642×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	400
0	90	394
1	396	356
2	3267	356
0	8476	324

Stop Event

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

Counts

23 → 428

Calls

Call 1

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

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 w #s(literal -1/4 binary64)) (.f64 w (.f64 r r)) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 w (.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w))) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 w (*.f64 r r))))
(+.f64 (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 w (.f64 r r)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))
(+.f64 (.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 w (.f64 r r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (fma.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w))) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(literal -3/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w))))) (-.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))) (-.f64 (fma.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 w (.f64 r r))))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 r (.f64 r (.f64 w w))))) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)) (.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 w (*.f64 r r))))))
(-.f64 (/.f64 (.f64 (fma.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w))) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w))) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (-.f64 (fma.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w))) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(literal -3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (-.f64 (fma.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 r r)) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 w (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 r (.f64 r (.f64 #s(literal -1/4 binary64) (.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 w (.f64 r (.f64 r (.f64 w #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 w (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 w (.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 r w) (.f64 r (.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 w (.f64 r r)) (.f64 w #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 w w) (.f64 #s(literal -1/4 binary64) (.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 w w)) (.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
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(pow.f64 (.f64 (.f64 r r) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 r (/.f64 #s(literal 2 binary64) r)) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 r r)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 r r))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 r r)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r))
(.f64 w (.f64 w #s(literal -1/4 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 w w))
(.f64 (.f64 w #s(literal -1/4 binary64)) w)
(.f64 (.f64 w w) #s(literal -1/4 binary64))
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 r (*.f64 w w)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (/.f64 (.f64 r (.f64 w w)) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(neg.f64 (/.f64 (.f64 r (.f64 w w)) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(neg.f64 (/.f64 (neg.f64 (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 r (.f64 w w))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 r (.f64 w w))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 r (.f64 w w))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 r (.f64 w w)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 r (.f64 w w))) #s(literal 1 binary64))))
(/.f64 (.f64 r (.f64 w w)) (-.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (.f64 r (.f64 w w))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (.f64 (.f64 r (*.f64 w w)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (neg.f64 (.f64 r (.f64 w w)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(/.f64 (neg.f64 (.f64 (.f64 r (*.f64 w w)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 r (.f64 w w))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 r (.f64 w w))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 r (.f64 w w))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 r (.f64 (*.f64 w w) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 r (/.f64 (.f64 w w) (-.f64 #s(literal 1 binary64) v)))
(.f64 w (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 r w) (*.f64 w (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 (.f64 r w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 w w) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 (.f64 w w) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 r (*.f64 w w)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(.f64 (neg.f64 (.f64 r (*.f64 w w))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (.f64 r (*.f64 w w)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (*.f64 w w))) #s(literal -1 binary64)))
(.f64 (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) w)
(.f64 (/.f64 (.f64 r (.f64 w w)) (-.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))
(.f64 (/.f64 (.f64 r (.f64 w 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)

eval235.0ms (2%)

Memory: 20.2MiB live, 283.5MiB allocated
Compiler: Compiled 29 414 to 1 392 computations (95.3% saved)

prune381.0ms (3.2%)

Memory

-8.0MiB live, 442.3MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1 045	8	1 053
Fresh	4	9	13
Picked	4	1	5
Done	1	5	6
Total	1 054	23	1 077

Accuracy

100.0%

Counts

1 077 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 r #s(literal -1 binary64)) (/.f64 (.f64 r (.f64 w w)) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(literal -9/2 binary64)))
	42.5%	(fma.f64 (.f64 (neg.f64 (.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) w) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(approx (+ 3 (/ 2 ( r r))) #s(literal 3 binary64)) #s(literal -9/2 binary64)))
	32.4%	(-.f64 (fma.f64 #s(approx (/ (* (* 1/8 (+ (* v -2) 3)) r) -1) (.f64 r (.f64 v #s(literal 1/4 binary64)))) (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64))
	34.0%	(-.f64 (fma.f64 #s(approx (/ (* (* 1/8 (+ (* v -2) 3)) r) -1) (.f64 r #s(literal -3/8 binary64))) (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(approx (+ 3 (/ 2 ( r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64))
	52.1%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	49.8%	(-.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)))
	86.6%	#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)))))
✓	92.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	50.2%	#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 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) #s(literal -27/8 binary64)) r (.f64 (-.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) #s(literal 9/4 binary64)) (.f64 #s(literal -3/2 binary64) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) (/.f64 #s(literal 2 binary64) r))) (.f64 (-.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) #s(literal 9/4 binary64)) (.f64 #s(literal -3/2 binary64) (.f64 (.f64 r (.f64 w w)) (*.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))) r)))
	50.0%	#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 r (.f64 r (.f64 w w))) (.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 r (.f64 w w)) (.f64 r (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal 3/2 binary64)) (.f64 r r))))
✓	49.6%	#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) r) r))
✓	49.6%	#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)))
✓	60.7%	#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))))
	57.1%	#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) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))))))))
✓	32.4%	#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))))
	31.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) #s(approx (/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v)) (.f64 (.f64 w w) #s(literal -1/4 binary64)))))
	29.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) #s(approx (/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v)) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	40.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 w (.f64 r r)) (*.f64 w #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
	44.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
	46.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 r (*.f64 w #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64))))
✓	12.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))
	23.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* r r) (/ (* -1/8 (* w (* w (+ (* v -2) 3)))) (- 1 v))) (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))

Compiler

Compiled 1 683 to 479 computations (71.5% saved)

regimes86.0ms (0.7%)

Memory

4.1MiB live, 164.2MiB allocated

Counts

49 → 2

Calls

Call 1

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

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)))

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

Calls

6 calls:

15.0ms	v
15.0ms	(*.f64 w w)
15.0ms	w
13.0ms	r
13.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
98.8%	2	`v`
99.3%	2	`w`
99.3%	2	`r`
99.8%	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))`
99.8%	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)))`
99.3%	2	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes41.0ms (0.3%)

Memory

-3.1MiB live, 74.7MiB allocated

Counts

38 → 2

Calls

Call 1

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

16.0ms	(*.f64 w w)
13.0ms	w
11.0ms	r

Results

Accuracy	Segments	Branch
95.2%	1	`w`
99.2%	2	`r`
95.2%	1	`(*.f64 w w)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes67.0ms (0.6%)

Memory

-6.1MiB live, 112.1MiB allocated

Counts

30 → 1

Calls

Call 1

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

Calls

6 calls:

19.0ms	w
11.0ms	v
11.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
9.0ms	r
8.0ms	(*.f64 w w)

Results

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

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes64.0ms (0.5%)

Memory

10.8MiB live, 88.7MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	(-.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))
8.0ms	v
7.0ms	w
7.0ms	r
6.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
89.7%	1	`v`
94.0%	2	`w`
95.2%	2	`r`
93.6%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
93.6%	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)))`
94.0%	2	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes31.0ms (0.3%)

Memory

25.5MiB live, 64.1MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

7.0ms	(*.f64 w w)
6.0ms	w
6.0ms	r
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))
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
93.4%	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))`
93.4%	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)))`
69.4%	2	`w`
69.4%	2	`(*.f64 w w)`
90.3%	2	`r`

Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes16.0ms (0.1%)

Memory

-31.2MiB live, 17.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms

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

4.0ms

3.0ms

(-.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
60.7%	1	`v`
90.8%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
90.8%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes10.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms

(-.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)))

3.0ms

(-.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
84.3%	2	`r`
88.9%	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))`
88.9%	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 66 to 45 computations (31.8% saved)

regimes20.0ms (0.2%)

Memory

-26.2MiB live, 10.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

2 calls:

17.0ms

(-.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))

3.0ms

(-.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
88.5%	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))`
88.5%	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)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes11.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	w
2.0ms	r
2.0ms	(-.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	(-.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)))
2.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
60.7%	1	`w`
60.7%	1	`(*.f64 w w)`
60.7%	1	`r`
60.7%	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))`
60.7%	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 76 to 52 computations (31.6% saved)

regimes28.0ms (0.2%)

Memory

-19.9MiB live, 17.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Outputs

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

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

Calls

6 calls:

19.0ms	(-.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)))
2.0ms	w
2.0ms	v
2.0ms	(-.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

Results

Accuracy	Segments	Branch
58.9%	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))`
58.9%	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)))`
49.6%	1	`v`
60.3%	2	`r`
49.6%	1	`w`
49.6%	1	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Calls

6 calls:

1.0ms	r
1.0ms	v
1.0ms	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	(-.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
12.1%	1	`v`
12.1%	1	`w`
12.1%	1	`(*.f64 w w)`
12.1%	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))`
12.1%	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)))`
12.1%	1	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.2198021294339965e+239	1.559885120918079e+241

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch15.0ms (0.1%)

Memory

-6.0MiB live, 30.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	440.6117275757713	1226.3185645079293

Samples

10.0ms

80×

valid

Compiler

Compiled 270 to 183 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.7% of total)

ival-div: 1.0ms (12.3% of total)

ival-sub: 1.0ms (12.3% 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)

bsearch3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	6.594221756461264e+141	1.6948820306517132e+145

Samples

2.0ms

16×

valid

Compiler

Compiled 72 to 51 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (83% of total)

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

ival-sub: 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)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.000010301913307

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.000010301913307

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.999999999995563	3.0

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-130056917832134.83	2.7155427758726924

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch26.0ms (0.2%)

Memory

-10.3MiB live, 36.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.0013248238085014432	440.6117275757713

Samples

17.0ms

144×

valid

Compiler

Compiled 188 to 136 computations (27.7% saved)

Precisions

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

ival-mult: 8.0ms (59.2% of total)

ival-sub: 3.0ms (22.2% of total)

ival-div: 2.0ms (14.8% of total)

ival-add: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify45.0ms (0.4%)

Memory

-7.3MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Rules

238×	`unsub-neg_binary64`
174×	`neg-mul-1_binary64`
98×	`*-commutative_binary64`
94×	`distribute-lft-neg-in_binary64`
78×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	943
1	159	943
2	194	943
3	231	943
4	277	943
5	332	943
6	461	943
7	645	943
8	747	943
9	763	943
10	764	943

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 w w) #s(literal 1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144 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))) (fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (neg.f64 r)) w) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 1200 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))))
#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 #s(literal -1/4 binary64))) (.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 r (.f64 w #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.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 6755399441045753/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -100000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 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))))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* 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) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))

Outputs
(if (<=.f64 (.f64 w w) #s(literal 1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144 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))) (fma.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (neg.f64 r)) w) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 (.f64 w w) #s(literal 1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144 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 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (fma.f64 (neg.f64 (.f64 w (.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 1200 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 1200 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 w r)) (/.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) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.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 r (.f64 w #s(literal -1/4 binary64))) (.f64 w r) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))))
(if (<=.f64 r #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (*.f64 w 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)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 (.f64 w w) r))) (+.f64 v #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 w #s(literal -1/4 binary64))) (.f64 w 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)) #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)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 r (.f64 w #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.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 (.f64 w w) r))) (+.f64 v #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (.f64 r (.f64 r (.f64 w #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.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 6755399441045753/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 (.f64 w w) r))) (+.f64 v #s(literal -1 binary64)))) #s(literal 6755399441045753/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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 -100000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 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 (.f64 w w) r))) (+.f64 v #s(literal -1 binary64)))) #s(literal -100000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 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) (+.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) (+.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(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* 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) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))

soundness1.5s (12.3%)

Memory

-0.7MiB live, 1 273.4MiB allocated

Rules

19 326×	`lower-fma.f64`
19 326×	`lower-fma.f32`
15 784×	`lower-fma.f64`
15 784×	`lower-fma.f32`
14 382×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	400
0	90	394
1	396	356
2	3267	356
0	8476	324
0	58	358
0	91	350
1	424	309
2	4050	309
0	8271	286
0	54	354
0	79	331
1	341	329
2	3250	329
0	8602	311
0	453	10990
1	1460	10317
2	4713	9991
0	8177	9352
0	293	9773
1	903	9146
2	3004	8531
0	8466	8035
0	22	114
0	36	114
1	149	104
2	1353	104
0	8965	94
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×	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

Compiler

Compiled 768 to 357 computations (53.5% saved)

preprocess199.0ms (1.7%)

Memory

30.3MiB live, 146.9MiB allocated

Remove

(abs w)

(abs r)

Compiler

Compiled 1 536 to 618 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	117	943
1	159	943
2	194	943
3	231	943
4	277	943
5	332	943
6	461	943
7	645	943
8	747	943
9	763	943
10	764	943

Iter	Nodes	Cost
0	117	943
1	159	943
2	194	943
3	231	943
4	277	943
5	332	943
6	461	943
7	645	943
8	747	943
9	763	943
10	764	943

start0.0ms (0%)

analyze143.0ms (1.2%)

sample1.8s (15.1%)

explain472.0ms (3.9%)

preprocess316.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify286.0ms (2.4%)

localize54.0ms (0.5%)

series31.0ms (0.3%)

simplify281.0ms (2.4%)

rewrite298.0ms (2.5%)

eval96.0ms (0.8%)

prune90.0ms (0.8%)

simplify376.0ms (3.1%)

localize417.0ms (3.5%)

series84.0ms (0.7%)

simplify349.0ms (2.9%)

rewrite313.0ms (2.6%)

eval284.0ms (2.4%)

prune280.0ms (2.3%)

simplify252.0ms (2.1%)

localize185.0ms (1.5%)

series91.0ms (0.8%)

simplify426.0ms (3.6%)

rewrite322.0ms (2.7%)

eval216.0ms (1.8%)

prune266.0ms (2.2%)

simplify506.0ms (4.2%)

localize233.0ms (1.9%)

series46.0ms (0.4%)

simplify409.0ms (3.4%)

rewrite272.0ms (2.3%)

eval235.0ms (2%)

prune381.0ms (3.2%)

regimes86.0ms (0.7%)

regimes41.0ms (0.3%)

regimes67.0ms (0.6%)

regimes64.0ms (0.5%)

regimes31.0ms (0.3%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

regimes20.0ms (0.2%)

regimes11.0ms (0.1%)

regimes28.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch26.0ms (0.2%)

simplify45.0ms (0.4%)

soundness1.5s (12.3%)

preprocess199.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	117	943
1	159	943
2	194	943
3	231	943
4	277	943
5	332	943
6	461	943
7	645	943
8	747	943
9	763	943
10	764	943