Metrics for Rosa's TurbineBenchmark

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze113.0ms (1%)

Memory

41.2MiB live, 236.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
82%	81.9%	17.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample1.7s (15.2%)

Memory

52.0MiB live, 2 269.9MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 945.0ms

ival-mult: 452.0ms (47.8% of total)

ival-sub: 295.0ms (31.2% of total)

ival-div: 124.0ms (13.1% of total)

ival-add: 47.0ms (5% of total)

exact: 18.0ms (1.9% of total)

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

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

Bogosity

explain394.0ms (3.4%)

Memory

-41.9MiB live, 613.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
32	-	2	(5.66583154056279e-103 3.060223133442736e-162 -4.057729137566231e+272)	`(.f64 (.f64 w w) r)`
13	-	1	(5664.159789461499 -2.2207737860683056e-234 -4.2792730003405616e+148)	`(.f64 (.f64 (*.f64 w w) r) r)`
11	-	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))`
9	-	1	(7.582227406246839e+30 -7.670967507091277e-303 -8.011637736889544e+142)	`(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))`
4	-	0	-	`(/.f64 #s(literal 2 binary64) (*.f64 r r))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 9/2 binary64)`
0	-	0	-	`#s(literal 1/8 binary64)`
0	-	0	-	`v`
0	-	0	-	`(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))`
0	-	0	-	`(*.f64 w w)`
0	-	0	-	`(*.f64 r r)`
0	-	0	-	`(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))`
0	-	0	-	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
0	-	0	-	`(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))`
0	-	0	-	`(-.f64 #s(literal 1 binary64) v)`
0	-	0	-	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
0	-	0	-	`(*.f64 #s(literal 2 binary64) v)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`w`
0	-	0	-	`r`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 w w) r)`	*no**	15	0
`/.f64`	`(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))`	o/n	11	0
↳	`(.f64 (.f64 w w) r)`	overflow	69
↳	`(*.f64 w w)`	overflow	71
↳	`(.f64 (.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	88
↳	`(.f64 (.f64 (*.f64 w w) r) r)`	overflow	77
`*.f64`	`(.f64 (.f64 w w) r)`	*nu**	9	0
`*.f64`	`(.f64 (.f64 (*.f64 w w) r) r)`	*no**	8	0

Confusion

	Predicted +	Predicted -
+	36	1
-	2	217

Precision

0.9473684210526315

Recall

0.972972972972973

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	1
-	2	0	217

Precision?

0.9473684210526315

Recall?

0.972972972972973

Freqs

test

number	freq
0	218
1	33
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms

512×

valid

Compiler

Compiled 328 to 70 computations (78.7% saved)

Precisions

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

ival-mult: 24.0ms (52.4% of total)

ival-sub: 9.0ms (19.6% of total)

ival-div: 7.0ms (15.3% of total)

ival-add: 4.0ms (8.7% of total)

ival-true: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

preprocess267.0ms (2.3%)

Memory

5.9MiB live, 298.6MiB 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))

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

Symmetry

(abs r)

(abs w)

Compiler

Compiled 32 to 22 computations (31.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Status

Accuracy

Program

▶

86.0%

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify206.0ms (1.8%)

Memory

-11.1MiB live, 245.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (0.7%)

Memory

-16.7MiB live, 98.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.117550622725169	(.f64 (.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	2.5922959293951187	(/.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	2.8621782975492214	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	7.298255757777092	(.f64 (.f64 w w) r)

Samples

31.0ms

256×

valid

Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions

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

ival-mult: 10.0ms (51.9% of total)

ival-sub: 4.0ms (20.7% of total)

ival-div: 3.0ms (15.6% of total)

ival-add: 1.0ms (5.2% of total)

exact: 1.0ms (5.2% of total)

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

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

series33.0ms (0.3%)

Memory

18.7MiB live, 60.2MiB 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 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) 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>) () ())

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>) () ())) ())
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#s(alt (* -1/4 (* (pow r 2) (* v (pow w 2)))) (taylor -inf v) (#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 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#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 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#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 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#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 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 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 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 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 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 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 -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 -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>) () ())) ())

Calls

54 calls:

Time	Variable		Expression
5.0ms	w	@	(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
2.0ms	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)

simplify175.0ms (1.5%)

Memory

26.0MiB live, 250.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	4018
1	745	3856
2	2580	3578
0	8212	3390

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite302.0ms (2.6%)

Memory

-22.5MiB live, 338.4MiB 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 w w) r) r)
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))

Outputs
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64))) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64))))))
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) v)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) v)) (.f64 #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) v))) (.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) v))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 27 binary64) (.f64 #s(literal -8 binary64) (.f64 (.f64 v v) v))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 27 binary64) (.f64 #s(literal -8 binary64) (.f64 (.f64 v v) v))))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 27 binary64) (.f64 #s(literal -8 binary64) (.f64 (.f64 v v) v))) #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 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 27 binary64) (.f64 #s(literal -8 binary64) (.f64 (.f64 v v) v)))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(+.f64 #s(literal 3/8 binary64) (.f64 (.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)))
(+.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) v)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))))))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 729/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal 9/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 81/4 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 9/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal -81/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal 9/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) #s(literal 81/4 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 729/8 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -729/8 binary64) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 81/4 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 #s(literal -9/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) 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 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))))
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(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (.f64 w r)) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (.f64 (.f64 w w) r) r) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (.f64 (.f64 w w) r) r) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))))
(.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)))
(.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (.f64 (.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))))
(/.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(neg.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 w w)) (*.f64 r r))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) (.f64 (*.f64 w w) r))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) #s(literal 1/8 binary64))
(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) r)
(.f64 (.f64 (.f64 (.f64 w w) r) r) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 w w) r) (.f64 r (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(.f64 (.f64 w w) (.f64 (.f64 r r) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(.f64 r (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 (*.f64 w w) r) r))
(.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 w w) r) r)))
(.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)))

eval138.0ms (1.2%)

Memory: -4.3MiB live, 190.3MiB allocated
Compiler: Compiled 29 602 to 2 012 computations (93.2% saved)

prune184.0ms (1.6%)

Memory

21.2MiB live, 192.3MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	597	18	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	598	18	616

Accuracy

99.9%

Counts

616 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.0%	(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 (.f64 (.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
	53.9%	(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 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
	52.2%	(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r))))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
▶	94.3%	(-.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 r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	74.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (.f64 v #s(literal -1/4 binary64))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	79.0%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	94.1%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
▶	88.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (.f64 (.f64 w w) r) r) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
	89.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) w) w))) #s(literal 9/2 binary64))
	88.1%	(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))
	48.5%	(-.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))
▶	87.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -1/4 binary64)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	45.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
	81.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 #s(literal -3/8 binary64) (.f64 w w)) (.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #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) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
	56.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
▶	80.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (.f64 (.f64 (.f64 r r) w) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
	38.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 r r)) (/.f64 (.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))

Compiler

Compiled 942 to 620 computations (34.2% saved)

simplify136.0ms (1.2%)

Memory

4.2MiB live, 162.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	128	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (.f64 (.f64 w w) r) r) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v))))
cost-diff	192	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (.f64 (.f64 w w) r) r) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
cost-diff	320	(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 r r) w) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
cost-diff	0	(+.f64 (fma.f64 (.f64 (.f64 (.f64 r r) w) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) #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 (fma.f64 (.f64 (.f64 (.f64 r r) w) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff	128	(-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64))
cost-diff	0	(.f64 (.f64 r r) #s(literal -1/4 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 r r) #s(literal -1/4 binary64)) w)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -1/4 binary64)) w) 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 (.f64 (.f64 r r) #s(literal -1/4 binary64)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	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 r) w) r)) (-.f64 #s(literal 1 binary64) v)))
cost-diff	192	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff	320	(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))

Rules

7 752×	`lower-fma.f32`
7 746×	`lower-fma.f64`
6 248×	`lower-*.f32`
6 216×	`lower-*.f64`
2 614×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	538
0	100	529
1	203	529
2	445	506
3	1710	506
4	5267	506
0	8428	482

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

localize323.0ms (2.8%)

Memory

6.9MiB live, 308.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(.f64 (.f64 (.f64 (.f64 w w) r) r) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))
accuracy	0.5069175563316902	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.8621782975492214	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	7.298255757777092	(.f64 (.f64 w w) r)
accuracy	0.5069175563316902	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	4.0229876222451475	(.f64 (.f64 (*.f64 r r) w) w)
accuracy	7.51368401304665	(.f64 (.f64 r r) w)
accuracy	9.864562668189992	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (.f64 (.f64 (.f64 r r) w) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy	0.5069175563316902	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	1.9180263674443254	(fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -1/4 binary64)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
accuracy	4.1920824415714035	#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 -1/4 binary64)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
accuracy	7.516956740288822	(.f64 (.f64 (*.f64 r r) #s(literal -1/4 binary64)) w)
accuracy	0	(*.f64 r r)
accuracy	0.5069175563316902	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	34.4348987367678	#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	0.5069175563316902	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	2.117550622725169	(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w r) w) r))
accuracy	2.5922959293951187	(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))
accuracy	2.8621782975492214	(.f64 (.f64 (*.f64 w r) w) r)

Samples

182.0ms

256×

valid

Compiler

Compiled 505 to 56 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 43.0ms (46.5% of total)

ival-sub: 36.0ms (38.9% of total)

ival-div: 6.0ms (6.5% of total)

ival-add: 5.0ms (5.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series118.0ms (1%)

Memory

10.6MiB live, 119.2MiB allocated

Counts

27 → 696

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

Calls

174 calls:

Time	Variable		Point	Expression
33.0ms	w	@	-inf	(* (* (* r r) -1/4) w)
11.0ms	r	@	0	(* (* (* (* w w) r) r) (/ (* (+ (* -2 v) 3) 1/8) (- 1 v)))
1.0ms	r	@	inf	(+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r)))
1.0ms	w	@	0	(- (- (+ 3 (/ 2 (* r r))) (* (* (* (* w w) r) r) (/ (* (+ (* -2 v) 3) 1/8) (- 1 v)))) 9/2)
1.0ms	v	@	inf	(+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r)))

simplify355.0ms (3.1%)

Memory

-38.6MiB live, 348.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 324×	`lower-fma.f64`
16 324×	`lower-fma.f32`
4 966×	`lower-+.f64`
4 966×	`lower-+.f32`
4 932×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	13197
1	1071	12573
2	3442	11738
0	8282	11034

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

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)))))
(/ 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))
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(* 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)))
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(* 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)))
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(* 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) w)
(* (pow r 2) w)
(* (pow r 2) w)
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(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
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(* (pow r 2) w)
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(* (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)
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(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* r (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))
(* 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)))
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(* 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)))
(+ (* 1/8 (* 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))))

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

rewrite250.0ms (2.2%)

Memory

-15.7MiB live, 469.8MiB allocated

Rules

4 550×	`lower-/.f32`
4 544×	`lower-/.f64`
4 082×	`lower-*.f32`
4 050×	`lower-*.f64`
3 944×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	424
0	100	415
1	416	381
2	2823	381
0	8287	356

Stop Event

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

Counts

27 → 963

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

Outputs
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(*.f64 #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 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -9 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 v v) v) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 v v) v) #s(literal 27 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -9 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))))
(/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -9 binary64))) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 v v) v) #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 #s(literal 8 binary64) (.f64 (.f64 v v) v) #s(literal 27 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 v v) v) #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 #s(literal 8 binary64) (.f64 (.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64) #s(literal 3/8 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v) #s(literal 3/8 binary64))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))
(+.f64 (.f64 #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) v)) #s(literal 3/8 binary64))
(+.f64 #s(literal 3/8 binary64) (.f64 (.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)))
(+.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 #s(literal -2 binary64) v)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (.f64 (.f64 (.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (.f64 (.f64 (.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/2 binary64) (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (.f64 (.f64 (.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))))))
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(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 w r) (.f64 (.f64 w r) (*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))
(.f64 (.f64 w r) (.f64 w (.f64 (*.f64 r (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))))
(.f64 w (.f64 (.f64 w r) (.f64 (*.f64 r (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))))
(.f64 r (.f64 (.f64 (.f64 w w) r) (*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))
(.f64 r (.f64 (.f64 w w) (.f64 (*.f64 r (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (.f64 (.f64 (.f64 w w) r) r)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)) (.f64 (.f64 (*.f64 w w) r) r)))
(.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))))
(.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)))
(.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (.f64 (.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 w w) r) r))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (.f64 (.f64 (*.f64 w w) r) r)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 w w) r) r)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (.f64 (.f64 (*.f64 w w) r) r))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))))
(/.f64 (.f64 (neg.f64 r) (.f64 (.f64 w w) r)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (.f64 (.f64 (.f64 w w) r) r) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))) #s(literal -1 binary64)))

eval272.0ms (2.4%)

Memory: 52.7MiB live, 676.2MiB allocated
Compiler: Compiled 71 052 to 3 150 computations (95.6% saved)

prune408.0ms (3.6%)

Memory

-24.1MiB live, 408.4MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1 937	18	1 955
Fresh	10	3	13
Picked	4	1	5
Done	0	0	0
Total	1 951	22	1 973

Accuracy

100.0%

Counts

1 973 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (.f64 w w) r) r) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
	51.3%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	50.2%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 w w) r) r) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
	48.5%	(-.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))
	84.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (.f64 (.f64 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	48.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (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 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)))
▶	91.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 w r) r) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
▶	79.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
▶	89.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	81.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 #s(literal -3/8 binary64) (.f64 w w)) (.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	82.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (.f64 (.f64 w r) (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	82.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (.f64 (.f64 #s(literal -1/4 binary64) r) (.f64 w w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	41.0%	#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 (.f64 (.f64 w r) r) (.f64 (.f64 w r) r)) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w)) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) (.f64 r r))))
	46.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓	46.1%	#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)))
▶	56.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
	89.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (.f64 (.f64 (.f64 r r) w) w) #s(approx (- ( -1/8 v) 3/8) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
	35.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
	73.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (-.f64 (fma.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 r r) v))) (/.f64 #s(literal 3/2 binary64) v)) v)))
▶	30.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) (.f64 r r))))
	42.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 (.f64 w (*.f64 r r)) #s(literal -1/4 binary64)) w #s(literal -3/2 binary64))))
	36.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w)))

Compiler

Compiled 997 to 592 computations (40.6% saved)

simplify192.0ms (1.7%)

Memory

9.4MiB live, 131.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

19 916×	`lower-fma.f32`
19 908×	`lower-fma.f64`
7 548×	`lower-*.f32`
7 528×	`lower-*.f64`
1 860×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	492
0	83	490
1	181	490
2	494	470
3	1821	470
4	5519	470
0	8520	458

Stop Event

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

Calls

Call 1

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

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

localize223.0ms (1.9%)

Memory

8.2MiB live, 328.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03250753162065376	(fma.f64 (.f64 (.f64 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
accuracy	0.21712875976844204	(.f64 (.f64 w r) (*.f64 w r))
accuracy	0.5069175563316902	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	12.747100969240167	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
accuracy	0.5069175563316902	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	1.9257053621952298	(fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
accuracy	3.40025133730496	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
accuracy	7.581023956109473	(.f64 (.f64 #s(literal -3/8 binary64) (*.f64 r r)) w)
accuracy	0.15234375	(.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w)
accuracy	9.864562668189992	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) (.f64 r r))))
accuracy	14.797338668169624	(.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) (.f64 r r))
accuracy	33.02169448490511	#s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) (.f64 r r)))
accuracy	0	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
accuracy	0	(*.f64 r r)
accuracy	0.5069175563316902	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	27.745874445466974	#s(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)))
accuracy	0.1015625	(.f64 (.f64 w r) r)
accuracy	0.5069175563316902	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	1.9180263674443254	(fma.f64 (.f64 (.f64 (.f64 w r) r) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
accuracy	4.1920824415714035	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 w r) r) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))

Samples

150.0ms	243×	0	valid
7.0ms	6×	1	valid
5.0ms	7×	2	valid

Compiler

Compiled 390 to 57 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 81.0ms (59.8% of total)

ival-sub: 38.0ms (28.1% of total)

ival-add: 8.0ms (5.9% of total)

ival-div: 5.0ms (3.7% of total)

adjust: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series43.0ms (0.4%)

Memory

-1.2MiB live, 78.0MiB allocated

Counts

20 → 528

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

Calls

132 calls:

Time	Variable		Point	Expression
2.0ms	r	@	0	(+ (* (* (* -3/8 (* r r)) w) w) (- (/ 2 (* r r)) 3/2))
1.0ms	w	@	0	(+ (* (* (* w r) (* w r)) (- (/ 1/8 v) 1/4)) (- (/ 2 (* r r)) 3/2))
1.0ms	v	@	0	(+ (* (* (* w r) (* w r)) (- (/ 1/8 v) 1/4)) (- (/ 2 (* r r)) 3/2))
1.0ms	w	@	inf	(+ (* (* (* w r) (* w r)) (- (/ 1/8 v) 1/4)) (- (/ 2 (* r r)) 3/2))
0.0ms	v	@	inf	(+ (* (* (* w r) (* w r)) (- (/ 1/8 v) 1/4)) (- (/ 2 (* r r)) 3/2))

simplify206.0ms (1.8%)

Memory

2.2MiB live, 247.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 896×	`lower-fma.f64`
18 896×	`lower-fma.f32`
4 932×	`lower-*.f64`
4 932×	`lower-*.f32`
4 714×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	9770
1	756	9358
2	2504	8635
0	8385	8141

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

rewrite178.0ms (1.6%)

Memory

3.6MiB live, 240.3MiB allocated

Rules

4 268×	`lower-/.f32`
4 264×	`lower-/.f64`
4 024×	`lower-*.f32`
4 006×	`lower-fma.f32`
4 004×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	398
0	83	376
1	370	366
2	3163	366
0	8631	335

Stop Event

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

Counts

20 → 342

Calls

Call 1

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

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

eval177.0ms (1.5%)

Memory: -0.9MiB live, 348.5MiB allocated
Compiler: Compiled 31 899 to 1 161 computations (96.4% saved)

prune184.0ms (1.6%)

Memory

-0.9MiB live, 435.0MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 255	16	1 271
Fresh	13	3	16
Picked	4	1	5
Done	0	1	1
Total	1 272	21	1 293

Accuracy

100.0%

Counts

1 293 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(-.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))
	46.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 w r) r) #s(literal -1/4 binary64)) w #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	82.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 w w) r) (.f64 #s(literal -1/4 binary64) r) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
▶	36.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	43.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
▶	90.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (.f64 (.f64 w r) (.f64 #s(literal -1/4 binary64) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	41.0%	#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 (.f64 (.f64 w r) r) (.f64 (.f64 w r) r)) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w)) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) (.f64 r r))))
	46.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
	19.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #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) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	56.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
	19.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
▶	11.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
	67.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal 2 binary64) (.f64 v (.f64 r r)))) (/.f64 #s(literal 3/2 binary64) v)) v)))
	32.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (.f64 (.f64 w w) r))))
	33.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) r) (.f64 w r))))
▶	32.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) r) r)))
▶	36.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 #s(approx ( (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (*.f64 r r))))
	37.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (* (* (* (+ (* -1/8 v) -3/8) w) w) (* r r)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w))))
	36.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* w r) r) -1/4) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w)))
	30.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* w r) (* w r)) (- (/ 1/8 v) 1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64))))

Compiler

Compiled 770 to 438 computations (43.1% saved)

simplify137.0ms (1.2%)

Memory

4.5MiB live, 202.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

10 096×	`lower-fma.f32`
10 090×	`lower-fma.f64`
6 586×	`lower-*.f32`
6 562×	`lower-*.f64`
2 648×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	550
0	91	546
1	183	546
2	467	526
3	1677	526
4	5023	526
0	8244	512

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

localize253.0ms (2.2%)

Memory

-5.9MiB live, 229.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03250753162065376	(fma.f64 (.f64 (.f64 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64)))
accuracy	0.21712875976844204	(.f64 (.f64 w r) (*.f64 w r))
accuracy	12.747100969240167	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
accuracy	32.81078169583854	#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))
accuracy	2.7122594484279943	(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) r) r)
accuracy	6.001077249374525	(.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) r)
accuracy	9.864562668189992	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) r) r)))
accuracy	33.02169448490511	#s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) r) r))
accuracy	9.864562668189992	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 #s(approx ( (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (*.f64 r r))))
accuracy	14.797338668169624	(.f64 #s(approx ( (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (*.f64 r r))
accuracy	20.7047198022984	#s(approx (* (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w)))
accuracy	33.02169448490511	#s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 #s(approx ( (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (*.f64 r r)))
accuracy	27.745874445466974	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
accuracy	32.81078169583854	#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))
accuracy	0.140625	(.f64 (.f64 w r) (*.f64 #s(literal -1/4 binary64) w))
accuracy	0.5069175563316901	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	1.8972242775742205	(fma.f64 r (.f64 (.f64 w r) (.f64 #s(literal -1/4 binary64) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
accuracy	4.1920824415714035	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (.f64 (.f64 w r) (.f64 #s(literal -1/4 binary64) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))

Samples

190.0ms	243×	0	valid
5.0ms	7×	2	valid
3.0ms	6×	1	valid

Compiler

Compiled 385 to 56 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 129.0ms (73.3% of total)

ival-sub: 32.0ms (18.2% of total)

ival-add: 6.0ms (3.4% of total)

ival-div: 5.0ms (2.8% of total)

adjust: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series145.0ms (1.3%)

Memory

28.1MiB live, 69.3MiB allocated

Counts

18 → 540

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

Calls

135 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	(* (* (* (+ (* -1/8 v) -3/8) w) w) r)
0.0ms	w	@	inf	(* (* (* (+ (* -1/8 v) -3/8) w) w) r)
0.0ms	r	@	0	(* (* (* (+ (* -1/8 v) -3/8) w) w) r)
0.0ms	r	@	0	(* (* w r) (* -1/4 w))
0.0ms	w	@	0	(* (* w r) (* -1/4 w))

simplify252.0ms (2.2%)

Memory

15.3MiB live, 268.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 948×	`lower-fma.f64`
16 948×	`lower-fma.f32`
4 722×	`lower-*.f64`
4 722×	`lower-*.f32`
4 624×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	10954
1	782	10317
2	2603	9486
0	8236	8909

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

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)))))
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(- (+ (* -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)
(- (+ (* 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)))))
(/ 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)))))
(* 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)
(* (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))
(/ 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))

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

rewrite224.0ms (1.9%)

Memory

-3.8MiB live, 285.8MiB allocated

Rules

4 754×	`lower-/.f32`
4 750×	`lower-/.f64`
4 414×	`lower-fma.f32`
4 408×	`lower-fma.f64`
4 364×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	468
0	91	440
1	364	432
2	2965	432
0	8774	401

Stop Event

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

Counts

18 → 207

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

eval102.0ms (0.9%)

Memory: -16.3MiB live, 215.5MiB allocated
Compiler: Compiled 18 533 to 683 computations (96.3% saved)

prune385.0ms (3.4%)

Memory

8.7MiB live, 227.8MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	810	6	816
Fresh	5	9	14
Picked	2	3	5
Done	0	2	2
Total	817	20	837

Accuracy

100.0%

Counts

837 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(-.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))
	37.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (.f64 (.f64 w w) r)) r #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	46.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 w r) r) #s(literal -1/4 binary64)) w #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
✓	36.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	43.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	37.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (.f64 w (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (.f64 w r))) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	41.0%	#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 (.f64 (.f64 w r) r) (.f64 (.f64 w r) r)) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w)) #s(literal -9/4 binary64)) (.f64 r r) (.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) (.f64 r r))))
	46.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
	19.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #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) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	56.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
	19.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
✓	11.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
	67.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal 2 binary64) (.f64 v (.f64 r r)))) (/.f64 #s(literal 3/2 binary64) v)) v)))
	33.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) r) w) r)))
	38.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 #s(approx (* (* (+ (* -1/8 v) -3/8) w) w) (.f64 (.f64 w w) #s(literal -3/8 binary64))) r) r)))
✓	36.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 #s(approx ( (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (*.f64 r r))))
	37.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (* (* (* (+ (* -1/8 v) -3/8) w) w) (* r r)) (.f64 (.f64 (.f64 (.f64 #s(literal -3/8 binary64) r) r) w) w))))
	36.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* w r) r) -1/4) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w)))
	40.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* r (* (* w r) (* -1/4 w))) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))

Compiler

Compiled 1 539 to 422 computations (72.6% saved)

regimes111.0ms (1%)

Memory

-0.3MiB live, 156.5MiB allocated

Counts

59 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

21.0ms	v
20.0ms	r
18.0ms	(*.f64 w w)
18.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
16.0ms	w

Results

Accuracy	Segments	Branch
99.8%	3	`v`
98.8%	2	`w`
98.8%	2	`r`
98.1%	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))`
98.1%	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)))`
98.8%	2	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes64.0ms (0.6%)

Memory

20.9MiB live, 95.3MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

17.0ms	w
17.0ms	(*.f64 w w)
14.0ms	r
13.0ms	v

Results

Accuracy	Segments	Branch
99.8%	3	`v`
98.7%	3	`w`
98.9%	3	`r`
98.7%	3	`(*.f64 w w)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes87.0ms (0.8%)

Memory

-18.7MiB live, 66.2MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

22.0ms	(-.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))
12.0ms	v
12.0ms	r
10.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
97.1%	2	`r`
98.9%	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))`
98.9%	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)))`
98.3%	3	`v`

Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes75.0ms (0.7%)

Memory

-1.6MiB live, 116.6MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

Calls

6 calls:

14.0ms	w
13.0ms	r
13.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
12.0ms	v
10.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
98.3%	3	`v`
94.9%	2	`w`
94.9%	2	`(*.f64 w w)`
97.7%	3	`r`
97.6%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
97.6%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes25.0ms (0.2%)

Memory

0.5MiB live, 38.7MiB allocated

Counts

37 → 3

Calls

Call 1

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

Calls

2 calls:

12.0ms	v
10.0ms	r

Results

Accuracy	Segments	Branch
97.1%	3	`r`
97.6%	3	`v`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes70.0ms (0.6%)

Memory

-9.4MiB live, 65.9MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	(-.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)))
13.0ms	r
10.0ms	v
9.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
95.2%	2	`r`
96.4%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
96.4%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
91.6%	1	`v`

Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes47.0ms (0.4%)

Memory

-5.4MiB live, 78.2MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	w
9.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
8.0ms	r
7.0ms	(*.f64 w w)
7.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
92.0%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
92.0%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
93.0%	2	`w`
93.0%	2	`(*.f64 w w)`
93.5%	2	`r`

Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes48.0ms (0.4%)

Memory

14.6MiB live, 90.4MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

9.0ms	(*.f64 w w)
8.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
8.0ms	w
8.0ms	r
7.0ms	v

Results

Accuracy	Segments	Branch
92.5%	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))`
92.5%	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)))`
70.7%	2	`w`
68.8%	2	`(*.f64 w w)`
59.6%	2	`v`
87.3%	2	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes14.0ms (0.1%)

Memory

-14.7MiB live, 28.7MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms

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

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
92.5%	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))`
92.5%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes10.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes9.0ms (0.1%)

Memory

-22.9MiB live, 15.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms

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

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
91.3%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
91.3%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 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
89.7%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
89.7%	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)

regimes6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB 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 (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* w r) r) -1/4) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (* (* (* (+ (* -1/8 v) -3/8) w) w) (* r r)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w))))

Outputs

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

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

Calls

2 calls:

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))

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
89.7%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
89.7%	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)

regimes7.0ms (0.1%)

Memory

-24.8MiB live, 13.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
88.1%	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))`
88.1%	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)

regimes13.0ms (0.1%)

Memory

31.3MiB live, 31.3MiB 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 (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
56.6%	1	`v`
56.6%	1	`(*.f64 w w)`
56.6%	1	`w`
56.6%	1	`r`
56.6%	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))`
56.6%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes12.0ms (0.1%)

Memory

-12.7MiB live, 24.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

6 calls:

4.0ms	r
2.0ms	w
2.0ms	v
1.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
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
54.3%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
54.3%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
46.1%	1	`v`
46.1%	1	`w`
46.1%	1	`(*.f64 w w)`
56.1%	2	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes14.0ms (0.1%)

Memory

-18.8MiB live, 21.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	w
1.0ms	r
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	v
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
11.4%	1	`w`
11.4%	1	`(*.f64 w w)`
11.4%	1	`v`
11.4%	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))`
11.4%	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)))`
11.4%	1	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.015179081574559e+267	2.9907705156882524e+270

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch54.0ms (0.5%)

Memory

33.4MiB live, 106.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.874893235017341e-5	5664.159789461499
24.0ms	-15104018551318.941	-7.6212760049346695

Samples

33.0ms

304×

valid

Compiler

Compiled 966 to 617 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 13.0ms (52.4% of total)

ival-sub: 5.0ms (20.1% of total)

ival-div: 4.0ms (16.1% of total)

ival-add: 2.0ms (8.1% of total)

exact: 1.0ms (4% of total)

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

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.0002913527210957
0.0ms	-inf	-1.2036936245924088e+279

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch34.0ms (0.3%)

Memory

-27.3MiB live, 50.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.747962075043373e-27	1.2126653198344173e-23
1.0ms	-15104018551318.941	-7.6212760049346695

Samples

18.0ms

128×

valid

Compiler

Compiled 845 to 550 computations (34.9% saved)

Precisions

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

ival-mult: 10.0ms (69.3% of total)

ival-div: 2.0ms (13.9% of total)

ival-sub: 2.0ms (13.9% of total)

ival-add: 1.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.66583154056279e-103	3.730971434664137e-102
1.0ms	-15104018551318.941	-7.6212760049346695

Samples

6.0ms

64×

valid

Compiler

Compiled 665 to 448 computations (32.6% saved)

Precisions

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

ival-mult: 2.0ms (43.5% of total)

ival-div: 1.0ms (21.7% of total)

ival-sub: 1.0ms (21.7% 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)

bsearch20.0ms (0.2%)

Memory

-0.4MiB live, 36.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.775944480489966e+147	4.2792730003405616e+148

Samples

14.0ms

96×

valid

Compiler

Compiled 293 to 190 computations (35.2% saved)

Precisions

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

ival-mult: 4.0ms (55.6% of total)

ival-sub: 2.0ms (27.8% of total)

ival-div: 1.0ms (13.9% 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)

bsearch12.0ms (0.1%)

Memory

-17.3MiB live, 19.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.775944480489966e+147	4.2792730003405616e+148

Samples

8.0ms

48×

valid

Compiler

Compiled 263 to 166 computations (36.9% saved)

Precisions

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

ival-add: 4.0ms (56.9% of total)

ival-mult: 2.0ms (28.4% of total)

ival-div: 1.0ms (14.2% of total)

ival-sub: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-5.350312561499679e+51	-34492400052106.586
0.0ms	-inf	-1.2036936245924088e+279

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-5.350312561499679e+51	-34492400052106.586
0.0ms	-inf	-1.2036936245924088e+279

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-34492400052106.586	1.9304887154450487
0.0ms	-inf	-1.2036936245924088e+279

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-34492400052106.586	1.9304887154450487
0.0ms	-inf	-1.2036936245924088e+279

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-34492400052106.586	1.9304887154450487

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-34492400052106.586	1.9304887154450487

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	-34492400052106.586	1.9304887154450487

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch20.0ms (0.2%)

Memory

2.7MiB live, 40.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.4364978163293309e-8	1.7645565272192515e-6

Samples

11.0ms

112×

valid

Compiler

Compiled 154 to 112 computations (27.3% saved)

Precisions

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

ival-mult: 4.0ms (48.4% of total)

ival-sub: 2.0ms (24.2% of total)

ival-div: 1.0ms (12.1% 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)

simplify54.0ms (0.5%)

Memory

-8.5MiB live, 39.7MiB allocated

Algorithm

1×	egg-herbie

Rules

398×	`unsub-neg_binary64`
278×	`neg-mul-1_binary64`
166×	`*-commutative_binary64`
152×	`distribute-lft-neg-in_binary64`
130×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	2363
1	263	2363
2	315	2363
3	375	2363
4	445	2363
5	518	2363
6	698	2363
7	1008	2363
8	1187	2363
9	1218	2363
10	1227	2363
11	1228	2363

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 w w) #s(literal 9999999999999999734382248541602273058775185611228237505937125919871459640244446566940444044768686890151491676229963091901658245840231469410183497393091354632481226134593141070740392918115693292196488489075430041978905121877944698963704207935331634934234728920650874880 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) 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 (.f64 (.f64 r r) #s(literal -1/4 binary64)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 v #s(literal -8669429282688205/1125899906842624 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) (if (<=.f64 v #s(literal 1 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (.f64 (.f64 w r) (.f64 w r)) (-.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 w r) (.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -1/4 binary64)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 ( r r))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 v #s(literal -8669429282688205/1125899906842624 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 w r) r) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) (if (<=.f64 v #s(literal 8166776806102523/680564733841876926926749214863536422912 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (.f64 (.f64 w r) (.f64 w r)) (-.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 w r) r) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))))
(if (<=.f64 v #s(literal -8669429282688205/1125899906842624 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 w r) r) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) (if (<=.f64 v #s(literal 8826049387992363/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (.f64 (.f64 w r) (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 w r) r) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))))
(if (<=.f64 r #s(literal 15000000000000000734650898627257808693583405052961158331175635618852523953900771342418472938709146956896695970222654151430801493779938778256534142976 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (.f64 (.f64 (.f64 r r) w) w) #s(approx (- ( -1/8 v) 3/8) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (.f64 (.f64 w r) (.f64 #s(literal -1/4 binary64) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 r #s(literal 19200000000000000145373295544569958589463843590285323214609575340377102228113081964471423987518729466806309123706097481747417905184689521364893171712 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (.f64 (.f64 (.f64 r r) w) w) #s(approx (- ( -1/8 v) 3/8) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 w r) r) #s(literal -1/4 binary64)) w #s(approx (- (/ 2 ( r r)) 3/2) #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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -4999999999999999966104743371808139882308542209720320 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) r) (.f64 w 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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -4999999999999999966104743371808139882308542209720320 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) r) w) 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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 #s(approx (* (* (+ (* -1/8 v) -3/8) w) w) (.f64 (.f64 w w) #s(literal -3/8 binary64))) r) r))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 #s(approx ( (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (.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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (* (* (* (+ (* -1/8 v) -3/8) w) w) (* r r)) (.f64 (.f64 (.f64 (.f64 #s(literal -3/8 binary64) r) r) w) w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (* (* (* (+ (* -1/8 v) -3/8) w) w) (* r r)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 r #s(literal 8264141345021879/4722366482869645213696 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))

Outputs
(if (<=.f64 (.f64 w w) #s(literal 9999999999999999734382248541602273058775185611228237505937125919871459640244446566940444044768686890151491676229963091901658245840231469410183497393091354632481226134593141070740392918115693292196488489075430041978905121877944698963704207935331634934234728920650874880 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) 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 (.f64 (.f64 r r) #s(literal -1/4 binary64)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (.f64 w w) #s(literal 9999999999999999734382248541602273058775185611228237505937125919871459640244446566940444044768686890151491676229963091901658245840231469410183497393091354632481226134593141070740392918115693292196488489075430041978905121877944698963704207935331634934234728920650874880 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (.f64 (.f64 r w) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) w)))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))))
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(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 r (.f64 w w)) r) (.f64 (-.f64 #s(literal 3 binary64) (.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -1/4 binary64)) w))) (if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 r (.f64 w w)) r) (.f64 (-.f64 #s(literal 3 binary64) (.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 (.f64 #s(approx (* (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w))) 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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 #s(approx ( (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (.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 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 r (.f64 w w)) r) (.f64 (-.f64 #s(literal 3 binary64) (.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -1/4 binary64)) w))) (if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 r (.f64 w w)) r) (.f64 (-.f64 #s(literal 3 binary64) (.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) (.f64 #s(approx ( (* (+ (* -1/8 v) -3/8) w) w) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (.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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (* (* (* (+ (* -1/8 v) -3/8) w) w) (* r r)) (.f64 (.f64 (.f64 (.f64 #s(literal -3/8 binary64) r) r) w) w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 r (.f64 w w)) r) (.f64 (-.f64 #s(literal 3 binary64) (.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (* (* (* (+ (* -1/8 v) -3/8) w) w) (* r r)) (.f64 (.f64 (.f64 (.f64 #s(literal -3/8 binary64) r) r) w) w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (* (* (* (+ (* -1/8 v) -3/8) w) w) (* r r)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 r (.f64 w w)) r) (.f64 (-.f64 #s(literal 3 binary64) (.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) w) w) (- (* -1/8 v) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (* (* (* (+ (* -1/8 v) -3/8) w) w) (* r r)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 w (.f64 r r)) #s(literal -1/4 binary64)) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 r (.f64 w w)) r) (.f64 (-.f64 #s(literal 3 binary64) (.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* (* r r) -1/4) w) w) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -1/4 binary64)) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 r #s(literal 8264141345021879/4722366482869645213696 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))

soundness2.3s (20.4%)

Memory

-129.2MiB live, 1 448.8MiB allocated

Rules

18 896×	`lower-fma.f64`
18 896×	`lower-fma.f32`
16 948×	`lower-fma.f64`
16 948×	`lower-fma.f32`
16 324×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	9770
1	756	9358
2	2504	8635
0	8385	8141
0	60	398
0	83	376
1	370	366
2	3163	366
0	8631	335
0	64	424
0	100	415
1	416	381
2	2823	381
0	8287	356
0	336	13197
1	1071	12573
2	3442	11738
0	8282	11034
0	255	10954
1	782	10317
2	2603	9486
0	8236	8909
0	68	468
0	91	440
1	364	432
2	2965	432
0	8774	401
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 594 to 574 computations (64% saved)

preprocess107.0ms (0.9%)

Memory

21.9MiB live, 218.1MiB allocated

Remove

(abs w)

(abs r)

Compiler

Compiled 2 298 to 402 computations (82.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze113.0ms (1%)

sample1.7s (15.2%)

explain394.0ms (3.4%)

preprocess267.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify206.0ms (1.8%)

localize76.0ms (0.7%)

series33.0ms (0.3%)

simplify175.0ms (1.5%)

rewrite302.0ms (2.6%)

eval138.0ms (1.2%)

prune184.0ms (1.6%)

simplify136.0ms (1.2%)

localize323.0ms (2.8%)

series118.0ms (1%)

simplify355.0ms (3.1%)

rewrite250.0ms (2.2%)

eval272.0ms (2.4%)

prune408.0ms (3.6%)

simplify192.0ms (1.7%)

localize223.0ms (1.9%)

series43.0ms (0.4%)

simplify206.0ms (1.8%)

rewrite178.0ms (1.6%)

eval177.0ms (1.5%)

prune184.0ms (1.6%)

simplify137.0ms (1.2%)

localize253.0ms (2.2%)

series145.0ms (1.3%)

simplify252.0ms (2.2%)

rewrite224.0ms (1.9%)

eval102.0ms (0.9%)

prune385.0ms (3.4%)

regimes111.0ms (1%)

regimes64.0ms (0.6%)

regimes87.0ms (0.8%)

regimes75.0ms (0.7%)

regimes25.0ms (0.2%)

regimes70.0ms (0.6%)

regimes47.0ms (0.4%)

regimes48.0ms (0.4%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch54.0ms (0.5%)

bsearch1.0ms (0%)

bsearch34.0ms (0.3%)

bsearch12.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

simplify54.0ms (0.5%)

soundness2.3s (20.4%)

preprocess107.0ms (0.9%)

end0.0ms (0%)

Profiling