Metrics for Rosa's TurbineBenchmark

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze175.0ms (2.1%)

Memory

16.7MiB live, 208.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample1.9s (23.4%)

Memory

21.6MiB live, 2 397.7MiB allocated

Samples

1.3s

8 256×

valid

Precisions

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

ival-mult: 580.0ms (55.1% of total)

ival-sub: 234.0ms (22.2% of total)

ival-div: 168.0ms (16% of total)

ival-add: 42.0ms (4% of total)

exact: 18.0ms (1.7% of total)

ival-true: 7.0ms (0.7% of total)

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

Bogosity

explain369.0ms (4.5%)

Memory

-14.1MiB live, 515.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
41	-	0	-	`(.f64 (.f64 w w) r)`
21	-	0	-	`(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))`
15	-	2	(2.0789910927726272e-74 -3.5933425369252414e-259 8.682199363401405e+200)	`(.f64 (.f64 (*.f64 w w) r) r)`
15	-	0	-	`(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))`
5	-	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**	22	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	21	0
↳	`(.f64 (.f64 w w) r)`	overflow	58
↳	`(*.f64 w w)`	overflow	66
↳	`(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))`	overflow	90
↳	`(.f64 (.f64 (*.f64 w w) r) r)`	overflow	69
`*.f64`	`(.f64 (.f64 w w) r)`	*nu**	7	0
`*.f64`	`(.f64 (.f64 (*.f64 w w) r) r)`	*no**	6	0

Confusion

	Predicted +	Predicted -
+	50	0
-	1	205

Precision

0.9803921568627451

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	50	0	0
-	1	0	205

Precision?

0.9803921568627451

Recall?

1.0

Freqs

test

number	freq
0	205
1	46
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms

512×

valid

Compiler

Compiled 325 to 70 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 24.0ms (54% of total)

ival-sub: 9.0ms (20.3% of total)

ival-div: 7.0ms (15.8% of total)

ival-add: 2.0ms (4.5% of total)

ival-true: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

preprocess228.0ms (2.8%)

Memory

26.3MiB live, 255.3MiB 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
#<batchref>
#<batchref>

Symmetry

(abs r)

(abs w)

Compiler

Compiled 29 to 22 computations (24.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.2%	(-.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))

Status

Accuracy

Program

▶

81.2%

(-.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))

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify304.0ms (3.7%)

Memory

-45.1MiB live, 231.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

localize47.0ms (0.6%)

Memory

9.8MiB live, 86.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	3.3283762109141564	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	3.4340573201917164	(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))
accuracy	4.916241100776558	(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.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	9.436932683437117	(.f64 (.f64 w w) r)

Samples

34.0ms

256×

valid

Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (44.7% of total)

ival-sub: 6.0ms (26.8% of total)

ival-div: 4.0ms (17.9% of total)

ival-add: 1.0ms (4.5% of total)

exact: 1.0ms (4.5% of total)

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

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

series34.0ms (0.4%)

Memory

-18.0MiB live, 62.6MiB allocated

Counts

8 → 216

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
5.0ms	r	@	0	((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (* (* (* w w) r) r))
4.0ms	v	@	inf	((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (* (* (* w w) r) r))
4.0ms	w	@	inf	((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (* (* (* w w) r) r))
3.0ms	r	@	inf	((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (* (* (* w w) r) r))
3.0ms	w	@	0	((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (* (* (* w w) r) r))

simplify199.0ms (2.4%)

Memory

26.1MiB live, 212.7MiB 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	2589	3578
0	8208	3390

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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rewrite243.0ms (3%)

Memory

3.6MiB live, 285.0MiB allocated

Rules

5 662×	`lower-*.f64`
5 662×	`lower-*.f32`
4 532×	`lower-/.f64`
4 532×	`lower-/.f32`
3 438×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	4722
0	227	3598
1	1938	3598
0	9461	3387

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

8 → 94

Calls

Call 1

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

Outputs
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eval36.0ms (0.4%)

Memory: 1.5MiB live, 76.2MiB allocated
Compiler: Compiled 8 990 to 579 computations (93.6% saved)

prune33.0ms (0.4%)

Memory

-5.4MiB live, 73.7MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	286	24	310
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	24	311

Accuracy

96.0%

Counts

311 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	62.2%	(-.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)) (fma.f64 (.f64 (.f64 #s(literal 3/8 binary64) (.f64 r r)) w) w (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) v) (fma.f64 #s(literal 1/8 binary64) v #s(literal 1/8 binary64)))))) #s(literal 9/2 binary64))
	61.5%	(-.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)) (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 r r)) w) w (.f64 (/.f64 (.f64 (.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64))))) #s(literal 9/2 binary64))
	39.8%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64))
	46.6%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (*.f64 #s(literal -2 binary64) v))) #s(literal 9/2 binary64))
	40.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx ( 1/8 (- 3 (* 2 v))) (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64)) v))) #s(literal 9/2 binary64))
	60.4%	(-.f64 #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 w w) r) r) (-.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(literal 9/2 binary64))
	61.1%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 (.f64 #s(literal -3/8 binary64) (.f64 w w)) (.f64 r r) (fma.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64))) v (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
	79.7%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
	44.5%	(-.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))
	9.5%	(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
	3.9%	(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
▶	4.5%	(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
	52.9%	#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 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)))
▶	82.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
▶	79.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	65.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
	41.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
▶	56.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
	73.6%	#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 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r))))
	33.8%	#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))))
	7.4%	#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 w w) r) r))
	7.6%	#s(approx (* (* w w) r) (.f64 (.f64 w w) r))
	7.4%	#s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (.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))))

Compiler

Compiled 790 to 672 computations (14.9% saved)

simplify237.0ms (2.9%)

Memory

13.2MiB live, 199.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

25 300×	`lower-fma.f32`
25 294×	`lower-fma.f64`
7 722×	`lower-*.f32`
7 712×	`lower-*.f64`
3 222×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	439
0	66	439
1	131	439
2	340	401
3	1221	401
4	3938	401
0	8409	396

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

Outputs
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localize97.0ms (1.2%)

Memory

-10.3MiB live, 111.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	3.3283762109141564	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	3.4340573201917164	(.f64 #s(approx ( 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (*.f64 w w) r) r))
accuracy	4.916241100776558	(/.f64 (.f64 #s(approx ( 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
accuracy	9.436932683437117	(.f64 (.f64 w w) r)
accuracy	0.62015871679243	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	3.3283762109141564	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	5.899731341054926	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
accuracy	9.436932683437117	(.f64 (.f64 w w) r)
accuracy	0	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
accuracy	0	(*.f64 r r)
accuracy	0.62015871679243	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	27.84149480801687	#s(approx (- (- (+ 3 (/ 2 (* 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	(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
accuracy	33.69022604101623	#s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64))
accuracy	0.62015871679243	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	3.3283762109141564	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	3.855417626825325	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
accuracy	9.436932683437117	(.f64 (.f64 w w) r)

Samples

54.0ms

256×

valid

Compiler

Compiled 373 to 36 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 17.0ms (51.9% of total)

ival-sub: 7.0ms (21.4% of total)

ival-add: 4.0ms (12.2% of total)

ival-div: 3.0ms (9.2% of total)

exact: 1.0ms (3.1% of total)

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

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

series49.0ms (0.6%)

Memory

12.3MiB live, 50.3MiB allocated

Counts

17 → 420

Calls

Call 1

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

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

Calls

9 calls:

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

simplify250.0ms (3%)

Memory

-1.3MiB live, 230.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 224×	`lower-fma.f64`
15 224×	`lower-fma.f32`
5 268×	`lower-+.f64`
5 268×	`lower-+.f32`
4 210×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	8371
1	829	8048
2	2845	7445
0	8331	7013

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (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))
(/ 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))
(* (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))
(/ 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))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 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))
(/ 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))
(/ 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))
(/ 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))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(* 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)))))
(* 1/8 (* (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 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))))))
(* -1/4 (* (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)))))
(* (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))
(* -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))))))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(* -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))))))
(* -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)))))
(* -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)))
(* (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
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 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)))))
(* 1/8 (* (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 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))))))
(* -1/4 (* (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)))))
(* (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))
(* -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))))))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(* -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))))))
(* -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)))))
(* -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)))
(* (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
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 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)))))
(* 1/8 (* (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)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
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(- (+ (* -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)))))))
(- (+ 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)))))
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(* 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) (* v (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)))))
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(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(* -1/4 v)
(* -1 (* v (+ 1/4 (* 33/8 (/ 1 v)))))
(* -1 (* v (+ 1/4 (* 33/8 (/ 1 v)))))
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(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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(- (+ (* -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)))))
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(- (+ (* -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)))))
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(- (+ 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))))
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(+ (* -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))))
(* -1/4 (* (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))))))

Outputs
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rewrite207.0ms (2.5%)

Memory

16.2MiB live, 328.7MiB allocated

Rules

6 354×	`lower-*.f64`
6 354×	`lower-*.f32`
5 108×	`lower-/.f64`
5 108×	`lower-/.f32`
4 078×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	9910
0	259	7630
1	2196	7606
0	10723	7260

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

17 → 142

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

Outputs
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eval347.0ms (4.2%)

Memory: -0.5MiB live, 157.6MiB allocated
Compiler: Compiled 20 154 to 755 computations (96.3% saved)

prune119.0ms (1.5%)

Memory

-5.4MiB live, 163.1MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	858	22	880
Fresh	13	6	19
Picked	4	1	5
Done	0	0	0
Total	875	29	904

Accuracy

97.8%

Counts

904 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	46.6%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (*.f64 #s(literal -2 binary64) v))) #s(literal 9/2 binary64))
	79.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx ( (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w))) #s(literal 9/2 binary64))
	40.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx ( 1/8 (- 3 (* 2 v))) (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64)) v))) #s(literal 9/2 binary64))
	48.6%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 #s(approx ( 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	9.5%	(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
	60.4%	(-.f64 #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 w w) r) r) (-.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(literal 9/2 binary64))
	44.5%	(-.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))
	3.9%	(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
▶	7.6%	(.f64 (.f64 w w) r)
	71.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 r r) w) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
	68.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
	50.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	47.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	13.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx ( (* w w) r) (.f64 (.f64 w w) r))))
▶	82.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
▶	65.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
✓	56.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
	33.8%	#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))))
	15.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
	50.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (.f64 r r) #s(literal -3/2 binary64))))
▶	34.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)))
	39.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
	33.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w)))
	1.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w)))
	3.9%	#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
	2.7%	#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
▶	4.5%	#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
	1.4%	#s(approx (* r r) (*.f64 r r))

Compiler

Compiled 666 to 613 computations (8% saved)

simplify146.0ms (1.8%)

Memory

22.7MiB live, 169.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r)
cost-diff	0	(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) 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 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)
cost-diff	0	#s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)))
cost-diff	0	(*.f64 w w)
cost-diff	0	(.f64 (.f64 w w) r)
cost-diff	0	#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 r r) w) w)
cost-diff	0	#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w))
cost-diff	0	(fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.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 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))

Rules

8 800×	`lower-fma.f32`
8 796×	`lower-fma.f64`
6 656×	`lower-*.f32`
6 640×	`lower-*.f64`
3 688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	328
0	67	328
1	133	328
2	289	312
3	950	312
4	3120	312
0	8095	303

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 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
#s(literal -3/8 binary64)
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w))
(.f64 (.f64 (*.f64 r r) w) w)
(.f64 (.f64 r r) w)
(*.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 (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(literal -33/8 binary64)
(.f64 (.f64 w w) r)
(*.f64 w w)
w
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)))
#s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))
(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(.f64 #s(literal -1/4 binary64) (.f64 r r))
#s(literal -1/4 binary64)
(*.f64 r r)
r
w
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r)
(fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64))
#s(literal -3/2 binary64)
(*.f64 r r)
r
#s(literal 2 binary64)

Outputs
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#<batchref>

localize162.0ms (2%)

Memory

-11.6MiB live, 149.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64))
accuracy	0.1953125	(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
accuracy	16.65507530612628	(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r)
accuracy	27.84149480801687	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
accuracy	3.855417626825325	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)))
accuracy	5.195438422943204	(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)
accuracy	8.527303065560075	(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
accuracy	34.556587874178724	#s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))
accuracy	0	(*.f64 w w)
accuracy	9.436932683437117	(.f64 (.f64 w w) r)
accuracy	33.549852227962276	#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
accuracy	0.62015871679243	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	5.172962134273889	(.f64 (.f64 (*.f64 r r) w) w)
accuracy	5.899731341054926	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
accuracy	8.54069229263767	(.f64 (.f64 r r) w)

Samples

96.0ms	209×	0	valid
19.0ms	35×	1	valid
4.0ms	7×	2	valid
3.0ms	5×	3	valid

Compiler

Compiled 242 to 44 computations (81.8% saved)

Precisions

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

ival-add: 30.0ms (39.7% of total)

ival-mult: 24.0ms (31.8% of total)

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

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

adjust: 4.0ms (5.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series37.0ms (0.5%)

Memory

13.9MiB live, 55.3MiB allocated

Counts

17 → 372

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 r r) w) w) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 w w) r) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 w w) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 r r) w) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 r r) w) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 r r) w) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 r r) w) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 w w) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 w w) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 w w) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 w w) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	r	@	inf	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* (* r r) w) w) (- (* 1/8 (- 3 (* 2 v))) 9/2) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -1/4 (* r r)) w) w) (* (* -1/4 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (/ (+ (* -3/2 (* r r)) 2) r) (+ (* -3/2 (* r r)) 2) (* (* r r) w) (/ 2 (* r r)))
3.0ms	r	@	-inf	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* (* r r) w) w) (- (* 1/8 (- 3 (* 2 v))) 9/2) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -1/4 (* r r)) w) w) (* (* -1/4 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (/ (+ (* -3/2 (* r r)) 2) r) (+ (* -3/2 (* r r)) 2) (* (* r r) w) (/ 2 (* r r)))
3.0ms	w	@	-inf	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* (* r r) w) w) (- (* 1/8 (- 3 (* 2 v))) 9/2) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -1/4 (* r r)) w) w) (* (* -1/4 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (/ (+ (* -3/2 (* r r)) 2) r) (+ (* -3/2 (* r r)) 2) (* (* r r) w) (/ 2 (* r r)))
2.0ms	r	@	0	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* (* r r) w) w) (- (* 1/8 (- 3 (* 2 v))) 9/2) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -1/4 (* r r)) w) w) (* (* -1/4 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (/ (+ (* -3/2 (* r r)) 2) r) (+ (* -3/2 (* r r)) 2) (* (* r r) w) (/ 2 (* r r)))
2.0ms	w	@	inf	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* (* r r) w) w) (- (* 1/8 (- 3 (* 2 v))) 9/2) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -1/4 (* r r)) w) w) (* (* -1/4 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (/ (+ (* -3/2 (* r r)) 2) r) (+ (* -3/2 (* r r)) 2) (* (* r r) w) (/ 2 (* r r)))

simplify399.0ms (4.9%)

Memory

-36.7MiB live, 202.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 634×	`lower-fma.f64`
16 634×	`lower-fma.f32`
4 872×	`lower-*.f64`
4 872×	`lower-*.f32`
2 334×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	5477
1	547	5339
2	1857	5075
3	7670	5063
0	8216	4790

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

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))
(/ 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))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (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))
(/ 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))
(/ 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)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) (pow w 2)))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ 2 r)
(/ (+ 2 (* -3/2 (pow r 2))) r)
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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)))))
(- (+ (* -1/8 (/ (- (* -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)))))
(* -1/4 v)
(* -1 (* v (+ 1/4 (* 33/8 (/ 1 v)))))
(* -1 (* v (+ 1/4 (* 33/8 (/ 1 v)))))
(* -1 (* v (+ 1/4 (* 33/8 (/ 1 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)))) 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 (* 1/4 (* (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)))))

Outputs
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rewrite189.0ms (2.3%)

Memory

12.5MiB live, 166.5MiB allocated

Rules

4 880×	`lower-*.f64`
4 880×	`lower-*.f32`
3 872×	`lower-/.f64`
3 872×	`lower-/.f32`
3 384×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	6354
0	183	5024
1	1421	5000
0	8246	4766

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

17 → 160

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 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w))
(.f64 (.f64 (*.f64 r r) w) w)
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
(.f64 (.f64 w w) r)
(*.f64 w w)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)))
#s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w))
(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r)
(fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64))
(.f64 (.f64 r r) w)
(/.f64 #s(literal 2 binary64) (*.f64 r r))

Outputs
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eval67.0ms (0.8%)

Memory: 14.3MiB live, 125.6MiB allocated
Compiler: Compiled 8 677 to 386 computations (95.6% saved)

prune63.0ms (0.8%)

Memory

6.0MiB live, 129.9MiB allocated

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	519	13	532
Fresh	9	14	23
Picked	0	5	5
Done	0	1	1
Total	528	33	561

Accuracy

98.7%

Counts

561 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	79.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx ( (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w))) #s(literal 9/2 binary64))
	9.5%	(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
	3.9%	(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
✓	7.6%	(.f64 (.f64 w w) r)
	56.4%	#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
▶	15.5%	#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
	4.0%	#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
	41.6%	#s(approx (/ 2 (* r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
	71.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 r r) w) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
	42.4%	#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 (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)))
▶	68.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
	50.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	47.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
✓	82.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.f64 r r) w) w)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #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 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (.f64 w r))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
✓	65.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
✓	56.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
	35.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
	33.8%	#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))))
	50.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (.f64 r r) #s(literal -3/2 binary64))))
	54.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) w) w) r) r)) (/.f64 #s(literal 3/2 binary64) (.f64 w w))) (.f64 w w))))
✓	34.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)))
▶	10.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
	1.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
	7.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
	39.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
▶	33.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w)))
	37.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 w r)) (.f64 w r))))
	24.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
	2.7%	#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
✓	4.5%	#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
	1.4%	#s(approx (* r r) (*.f64 r r))

Compiler

Compiled 677 to 617 computations (8.9% saved)

simplify243.0ms (3%)

Memory

-4.5MiB live, 227.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

14 736×	`lower-fma.f32`
14 732×	`lower-fma.f64`
6 116×	`lower-*.f32`
6 096×	`lower-*.f64`
1 886×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	466
0	80	466
1	154	466
2	354	450
3	1200	450
4	3623	450
5	7592	450
0	8216	437

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

Outputs
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localize108.0ms (1.3%)

Memory

12.7MiB live, 205.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	3.3283762109141564	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	3.855417626825325	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
accuracy	9.436932683437117	(.f64 (.f64 w w) r)
accuracy	33.111465219417134	#s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy	5.200958399813443	(.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w)
accuracy	5.899731341054926	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w)))
accuracy	8.527842666664396	(.f64 (.f64 #s(literal -3/8 binary64) (*.f64 r r)) w)
accuracy	34.55629935959874	#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w))
accuracy	0	#s(approx (* w w) (*.f64 w w))
accuracy	0.078125	(.f64 #s(approx ( w w) (*.f64 w w)) w)
accuracy	3.855417626825325	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
accuracy	57.269281166019326	#s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w))
accuracy	30.623775140796898	#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
accuracy	0.0546875	(fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (.f64 w r))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
accuracy	0.24837875976844204	(.f64 (.f64 w r) (*.f64 w r))
accuracy	0.62015871679243	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	5.899731341054926	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (.f64 w r))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))

Samples

79.0ms

256×

valid

Compiler

Compiled 308 to 43 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 29.0ms (49.8% of total)

ival-div: 13.0ms (22.3% of total)

ival-sub: 10.0ms (17.2% of total)

ival-add: 4.0ms (6.9% of total)

exact: 1.0ms (1.7% of total)

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

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

series36.0ms (0.4%)

Memory

11.0MiB live, 61.4MiB allocated

Counts

19 → 444

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	w	@	0	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w r) (* w r)) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) w) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -3/8 (* r r)) w) w) (* (* -3/8 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (/ 2 (* r r)) (- (/ 2 (* r r)) 3/2))
3.0ms	w	@	-inf	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w r) (* w r)) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) w) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -3/8 (* r r)) w) w) (* (* -3/8 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (/ 2 (* r r)) (- (/ 2 (* r r)) 3/2))
3.0ms	w	@	inf	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w r) (* w r)) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) w) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -3/8 (* r r)) w) w) (* (* -3/8 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (/ 2 (* r r)) (- (/ 2 (* r r)) 3/2))
2.0ms	r	@	0	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w r) (* w r)) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) w) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -3/8 (* r r)) w) w) (* (* -3/8 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (/ 2 (* r r)) (- (/ 2 (* r r)) 3/2))
2.0ms	r	@	inf	((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w r) (* w r)) (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) w) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* -3/8 (* r r)) w) w) (* (* -3/8 (* r r)) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (/ 2 (* r r)) (- (/ 2 (* r r)) 3/2))

simplify241.0ms (2.9%)

Memory

2.7MiB live, 234.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18 182×	`lower-fma.f64`
18 182×	`lower-fma.f32`
4 666×	`lower-*.f64`
4 666×	`lower-*.f32`
2 952×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	7352
1	503	7168
2	1713	6784
3	7344	6768
0	8426	6398

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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))
(/ 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))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (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 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ 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))
(/ 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))
(/ 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))
(/ 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)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 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))
(* (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))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 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))))))
(* -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)))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(* -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))))))
(* -1/4 (* (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)))))
(* -1/8 (/ (* (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))))))
(* -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)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -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))))))
(* -1/4 (* (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)))))
(* (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))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(* -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))))))
(* -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)))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(* -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))))))
(* -1/4 (* (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)))))
(* -1/8 (/ (* (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))))))
(* -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)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -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))))))
(* -1/4 (* (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)))))
(* (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))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 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)
(- (* 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)
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (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 (/ 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)
(- (* 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)
(pow w 3)
(pow w 3)
(pow w 3)
(pow w 3)
(pow w 2)
(pow w 2)
(pow w 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)
(- (* 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)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(- (* 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)
(- (* 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)
(* (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))
(* -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))))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* -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))))))
(* -1/4 (* (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)))))
(pow w 3)
(pow w 3)
(pow w 3)
(pow w 3)
(pow w 2)
(pow w 2)
(pow w 2)
(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))))))
(* -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)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) (pow w 2)))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -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))))))
(* -1/4 (* (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)))))
(* (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))
(* -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))))))
(* -3/8 (* (pow r 2) (pow w 2)))
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(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (pow w 2))
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(pow w 3)
(pow w 3)
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(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
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(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
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(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 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)))))
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(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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Outputs
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rewrite333.0ms (4.1%)

Memory

-29.6MiB live, 259.7MiB allocated

Rules

4 642×	`lower-*.f64`
4 642×	`lower-*.f32`
4 450×	`lower-/.f64`
4 450×	`lower-/.f32`
3 310×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	8456
0	167	6652
1	1331	6604
0	8256	6270

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

19 → 203

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

Outputs
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eval115.0ms (1.4%)

Memory: 28.3MiB live, 148.1MiB allocated
Compiler: Compiled 12 293 to 435 computations (96.5% saved)

prune86.0ms (1.1%)

Memory

-33.7MiB live, 164.3MiB allocated

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	667	6	673
Fresh	3	19	22
Picked	1	4	5
Done	1	5	6
Total	672	34	706

Accuracy

99.9%

Counts

706 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	79.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx ( (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) w) w))) #s(literal 9/2 binary64))
	9.5%	(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
	3.9%	(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
✓	7.6%	(.f64 (.f64 w w) r)
	1.5%	(.f64 (.f64 r w) (*.f64 r w))
	56.4%	#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
✓	15.5%	#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
	4.0%	#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
	41.6%	#s(approx (/ 2 (* r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
	71.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 (.f64 r r) w) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
	42.4%	#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 (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)))
	37.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) (*.f64 w w) #s(literal -3/2 binary64))))))
	50.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
	80.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
	47.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #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 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (.f64 w r))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
✓	65.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
✓	56.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
	35.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
	50.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (.f64 r r) #s(literal -3/2 binary64))))
	54.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) w) w) r) r)) (/.f64 #s(literal 3/2 binary64) (.f64 w w))) (.f64 w w))))
✓	34.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w)))
	40.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w))))
✓	10.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
	33.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* -3/8 (* r r)) w) w) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64)) w))))
	24.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
	7.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
✓	33.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) w) w)))
	37.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 w r)) (.f64 w r))))
	24.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
	2.7%	#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
✓	4.5%	#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
	1.4%	#s(approx (* r r) (*.f64 r r))

Compiler

Compiled 1 254 to 584 computations (53.4% saved)

regimes146.0ms (1.8%)

Memory

6.7MiB live, 205.5MiB allocated

Counts

66 → 3

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* -3/8 (* r r)) w) w) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64)) w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -3/8 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) (fma.f64 #s(literal -3/8 binary64) (.f64 (.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (/ 2 (* r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (*.f64 #s(literal -2 binary64) v))) #s(literal 9/2 binary64))
#s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (.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))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx ( (* w w) r) (.f64 (.f64 w w) r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.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 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.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 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) 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 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) (-.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))) #s(approx ( (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) 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 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) (*.f64 w w) #s(literal -3/2 binary64))))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx ( 1/8 (- 3 (* 2 v))) (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 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 -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(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (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 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 #s(approx ( 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#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) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) (-.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))) 9/2) (+.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (-.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(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 (.f64 #s(literal -3/8 binary64) (.f64 w w)) (.f64 r r) (fma.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64))) v (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 r r)) w) w (.f64 (/.f64 (.f64 (.f64 (*.f64 w w) r) r) v) #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))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (fma.f64 (.f64 (.f64 #s(literal 3/8 binary64) (.f64 r r)) w) w (.f64 (.f64 (.f64 (.f64 (.f64 w w) r) r) v) (fma.f64 #s(literal 1/8 binary64) v #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) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) w) w) r) r)) (/.f64 #s(literal 3/2 binary64) (.f64 w w))) (.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 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 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)))

Outputs

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

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

Calls

6 calls:

43.0ms	v
29.0ms	r
18.0ms	w
17.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
17.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
93.8%	2	`v`
93.8%	2	`w`
96.3%	4	`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)))`
93.8%	2	`(*.f64 w w)`

Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes31.0ms (0.4%)

Memory

34.3MiB live, 72.3MiB allocated

Counts

58 → 3

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* -3/8 (* r r)) w) w) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64)) w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -3/8 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) (fma.f64 #s(literal -3/8 binary64) (.f64 (.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (/ 2 (* r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (*.f64 #s(literal -2 binary64) v))) #s(literal 9/2 binary64))
#s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (.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))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx ( (* w w) r) (.f64 (.f64 w w) r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.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 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.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 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) 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 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) (-.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))) #s(approx ( (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) 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 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) (*.f64 w w) #s(literal -3/2 binary64))))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx ( 1/8 (- 3 (* 2 v))) (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 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 -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(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (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 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 #s(approx ( 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#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) w) (-.f64 (.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)) (-.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))) 9/2) (+.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (-.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(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (.f64 (.f64 (.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r))))

Outputs

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

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

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

Calls

2 calls:

14.0ms

(-.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

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

Results

Accuracy	Segments	Branch
97.3%	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))`
97.3%	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 56 to 42 computations (25% saved)

regimes124.0ms (1.5%)

Memory

-18.4MiB live, 28.9MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* -3/8 (* r r)) w) w) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64)) w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -3/8 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) (fma.f64 #s(literal -3/8 binary64) (.f64 (.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (/ 2 (* r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (*.f64 #s(literal -2 binary64) v))) #s(literal 9/2 binary64))
#s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (.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))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx ( (* w w) r) (.f64 (.f64 w w) r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.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 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.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 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) 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 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) (-.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))) #s(approx ( (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) 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 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) (*.f64 w w) #s(literal -3/2 binary64))))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx ( 1/8 (- 3 (* 2 v))) (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 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 -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(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (*.f64 w w) r)) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (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)))

Outputs

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

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

Calls

2 calls:

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

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

Results

Accuracy	Segments	Branch
97.0%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
97.0%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes45.0ms (0.6%)

Memory

5.2MiB live, 44.5MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* -3/8 (* r r)) w) w) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64)) w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -3/8 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) (fma.f64 #s(literal -3/8 binary64) (.f64 (.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (/ 2 (* r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (*.f64 #s(literal -2 binary64) v))) #s(literal 9/2 binary64))
#s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (.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))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx ( (* w w) r) (.f64 (.f64 w w) r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.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 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (.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 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) 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 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) (-.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))) #s(approx ( (* (* w w) r) r) (.f64 (.f64 (*.f64 r r) 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 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) (*.f64 w w) #s(literal -3/2 binary64))))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx ( 1/8 (- 3 (* 2 v))) (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 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 -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))))

Outputs

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

Calls

2 calls:

30.0ms

(-.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

(-.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
95.4%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
95.4%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes81.0ms (1%)

Memory

-10.8MiB live, 145.7MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* -3/8 (* r r)) w) w) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64)) w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -3/8 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) (fma.f64 #s(literal -3/8 binary64) (.f64 (.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (/ 2 (* r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (*.f64 #s(literal -2 binary64) v))) #s(literal 9/2 binary64))
#s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (.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))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx ( (* w w) r) (.f64 (.f64 w w) r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.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) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))

Calls

6 calls:

15.0ms	w
14.0ms	r
13.0ms	(*.f64 w w)
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

Results

Accuracy	Segments	Branch
91.4%	2	`r`
80.1%	1	`v`
89.4%	2	`w`
89.4%	2	`(*.f64 w w)`
94.4%	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))`
94.4%	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)))`

Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes38.0ms (0.5%)

Memory

-1.9MiB live, 74.0MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* -3/8 (* r r)) w) w) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64)) w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -3/8 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) (fma.f64 #s(literal -3/8 binary64) (.f64 (.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) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx (- (/ 2 ( r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (/ 2 (* r r)) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (*.f64 #s(literal -2 binary64) v))) #s(literal 9/2 binary64))
#s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (.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))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.f64 (.f64 w w) r) r) #s(approx ( (* w w) r) (.f64 (.f64 w w) r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- 3 ( 2 v)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) (*.f64 r w))))

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

Calls

3 calls:

14.0ms

12.0ms

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

10.0ms

(-.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
87.1%	2	`r`
91.4%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
91.4%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 57 to 45 computations (21.1% saved)

regimes21.0ms (0.3%)

Memory

17.7MiB live, 62.5MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* -3/8 (* r r)) w) w) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64)) w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 (.f64 #s(literal -1/4 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (.f64 #s(literal -3/8 binary64) (.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))

Outputs

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

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

2 calls:

11.0ms

(-.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)))

8.0ms

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

Results

Accuracy	Segments	Branch
91.4%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
91.4%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes60.0ms (0.7%)

Memory

-21.0MiB live, 57.0MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* -3/8 (* r r)) w) w) (.f64 (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64)) w))))

Outputs

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

5 calls:

26.0ms	r
9.0ms	w
8.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
8.0ms	(*.f64 w w)
7.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
75.4%	2	`r`
66.0%	2	`w`
66.0%	2	`(*.f64 w w)`
86.6%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
86.6%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 61 to 52 computations (14.8% saved)

regimes53.0ms (0.6%)

Memory

7.5MiB live, 46.4MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (*.f64 (*.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))

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

Calls

4 calls:

30.0ms	r
8.0ms	v
7.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
7.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
68.2%	2	`r`
56.4%	1	`v`
74.6%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
74.6%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 58 to 48 computations (17.2% saved)

regimes29.0ms (0.3%)

Memory

-43.1MiB live, 27.6MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r 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) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (*.f64 (*.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))

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

Calls

2 calls:

21.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
73.8%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
73.8%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes44.0ms (0.5%)

Memory

31.1MiB live, 68.6MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (*.f64 w r)))))
(.f64 (.f64 r w) (*.f64 r w))

Outputs

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

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

Calls

6 calls:

10.0ms	r
7.0ms	v
7.0ms	w
6.0ms	(*.f64 w w)
6.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
24.1%	1	`v`
35.0%	2	`w`
35.0%	2	`(*.f64 w w)`
36.6%	3	`r`
45.8%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
45.8%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes26.0ms (0.3%)

Memory

-13.2MiB live, 23.5MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (* (* -1/4 (* r r)) w) (.f64 (.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.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 (* (* -1/4 (* r r)) w) (*.f64 (*.f64 (*.f64 r r) w) #s(literal -1/4 binary64))))

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

Calls

2 calls:

19.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
45.8%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
45.8%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes33.0ms (0.4%)

Memory

15.4MiB live, 54.0MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))
(.f64 (.f64 w w) r)
(-.f64 #s(approx (* (* w w) r) (.f64 (.f64 w w) r)) #s(literal 9/2 binary64))
(-.f64 (.f64 (.f64 w w) r) #s(literal 9/2 binary64))
#s(approx (* (* (* w w) r) r) (.f64 (.f64 (*.f64 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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 #s(approx (* w w) (*.f64 w w)) w)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
15.5%	1	`v`
23.7%	2	`w`
23.7%	2	`(*.f64 w w)`
24.8%	2	`r`
24.8%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
24.8%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes119.0ms (1.5%)

Memory

-19.1MiB live, 30.3MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (*.f64 w w))))
#s(approx (/ (+ (* -3/2 (* r r)) 2) r) (*.f64 #s(literal -3/2 binary64) r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) v #s(literal -33/8 binary64)))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
#s(approx (* (* w w) r) (.f64 (.f64 w w) r))

Outputs

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

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

Calls

5 calls:

103.0ms	(-.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))
4.0ms	r
4.0ms	w
4.0ms	(*.f64 w w)
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)))

Results

Accuracy	Segments	Branch
21.2%	2	`w`
21.2%	2	`(*.f64 w w)`
22.2%	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))`
22.2%	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)))`
22.3%	2	`r`

Compiler

Compiled 61 to 52 computations (14.8% saved)

regimes58.0ms (0.7%)

Memory

-9.2MiB live, 28.0MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (/ (/ (+ (* -3/2 (* r r)) 2) r) r) #s(literal -3/2 binary64))
(-.f64 #s(approx (* 1/8 (- 3 (* 2 v))) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))
#s(approx (* r r) (*.f64 r r))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) (*.f64 #s(literal -1/4 binary64) v))

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:

44.0ms	w
3.0ms	r
3.0ms	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
15.5%	1	`v`
15.5%	1	`w`
15.5%	1	`(*.f64 w w)`
15.5%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
15.5%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
15.5%	1	`r`

Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes9.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))

Outputs
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
4.5%	1	`w`
4.5%	1	`r`
4.5%	1	`(*.f64 w w)`
4.5%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
4.5%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
4.5%	1	`v`

Compiler

Compiled 62 to 55 computations (11.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.487989511453582e+34	-2.8267626967534256e+29
0.0ms	-inf	-7.949001354736159e+267

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.487989511453582e+34	-2.8267626967534256e+29
0.0ms	-inf	-7.949001354736159e+267

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.487989511453582e+34	-2.8267626967534256e+29
0.0ms	-inf	-7.949001354736159e+267

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-7.949001354736159e+267

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.000000000000002
0.0ms	-inf	-7.949001354736159e+267

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch3.0ms (0%)

Memory

-35.4MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
2.0ms	3.0	3.000000000000002
0.0ms	-inf	-7.949001354736159e+267

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.8267626967534256e+29	3.0
0.0ms	-inf	-7.949001354736159e+267

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.8267626967534256e+29	3.0

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.487989511453582e+34	-2.8267626967534256e+29

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0000017255536173	791.3682076406783
0.0ms	-2.1461556612741985e+146	-2.349450738329063e+124

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0000017255536173	791.3682076406783
0.0ms	-2.1461556612741985e+146	-2.349450738329063e+124

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0000017255536173	791.3682076406783
0.0ms	-2.1461556612741985e+146	-2.349450738329063e+124

Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch23.0ms (0.3%)

Memory

4.6MiB live, 39.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.461567418434506e-31	5.446719281460181e-29

Samples

12.0ms

112×

valid

Compiler

Compiled 109 to 140 computations (-28.4% saved)

Precisions

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

ival-mult: 4.0ms (45.2% of total)

ival-sub: 2.0ms (22.6% of total)

ival-div: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.461567418434506e-31	5.446719281460181e-29

Compiler

Compiled 95 to 133 computations (-40% saved)

simplify52.0ms (0.6%)

Memory

-0.8MiB live, 79.4MiB allocated

Algorithm

1×	egg-herbie

Rules

266×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
174×	`neg-mul-1-binary64-*.f64-neg.f64`
98×	`-commutative-binary64-.f64`
96×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
80×	`distribute-rgt-neg-in-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	2481
1	182	2481
2	216	2481
3	251	2481
4	297	2481
5	353	2481
6	483	2481
7	672	2481
8	786	2481
9	811	2481
10	819	2481
11	820	2481

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -9999999999999999455752309870428160 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (.f64 w r))) (-.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 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -9999999999999999455752309870428160 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (.f64 #s(approx ( 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (.f64 w r))) (-.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 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -9999999999999999455752309870428160 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (.f64 (.f64 w w) r)) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (.f64 w r))) (-.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 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.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) (fma.f64 #s(literal -3/8 binary64) #s(approx (* (* (* w w) r) r) (.f64 (.f64 w r) (.f64 w r))) (-.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 #s(literal -1/4 binary64) (.f64 (.f64 r w) (.f64 r w)) #s(approx (- (/ 2 ( r r)) 3/2) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.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 (/.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (.f64 (.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 (/.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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r w)) (.f64 r w)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -199999999999999982866301714432 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 -199999999999999982866301714432 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 (.f64 #s(literal -3/8 binary64) (.f64 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 -9999999999999999455752309870428160 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(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 -199999999999999986726733459944924484222039388635692365157852007791239747300286840518597024906650109066035554149860765582115811384854799426355462144 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 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 5 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 (- (- (+ 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)))))
(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 -199999999999999986726733459944924484222039388635692365157852007791239747300286840518597024906650109066035554149860765582115811384854799426355462144 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* (* -3/8 (* r r)) w) (.f64 (.f64 (.f64 r r) w) #s(literal -3/8 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 5 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 (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -199999999999999986726733459944924484222039388635692365157852007791239747300286840518597024906650109066035554149860765582115811384854799426355462144 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (* (* -1/4 (* r r)) w) (.f64 (.f64 (.f64 r r) w) #s(literal -1/4 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 5 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 (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (*.f64 w w)) w)))))
(if (<=.f64 r #s(literal 1177479346482417/178405961588244985132285746181186892047843328 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (.f64 #s(approx ( w w) (.f64 w w)) w))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 1177479346482417/178405961588244985132285746181186892047843328 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) #s(approx (* w w) (.f64 w w)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 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)))
#s(approx (- (* 1/8 (- 3 (* 2 v))) 9/2) #s(literal -33/8 binary64))

Outputs
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soundness76.0ms (0.9%)

Memory

-1.7MiB live, 72.3MiB allocated

Rules

5 662×	`lower-*.f64`
5 662×	`lower-*.f32`
4 532×	`lower-/.f64`
4 532×	`lower-/.f32`
3 438×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	4722
0	227	3598
1	1938	3598
0	9461	3387

Stop Event

1×	iter limit
1×	node limit
1×	saturated

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze175.0ms (2.1%)

sample1.9s (23.4%)

explain369.0ms (4.5%)

preprocess228.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify304.0ms (3.7%)

localize47.0ms (0.6%)

series34.0ms (0.4%)

simplify199.0ms (2.4%)

rewrite243.0ms (3%)

eval36.0ms (0.4%)

prune33.0ms (0.4%)

simplify237.0ms (2.9%)

localize97.0ms (1.2%)

series49.0ms (0.6%)

simplify250.0ms (3%)

rewrite207.0ms (2.5%)

eval347.0ms (4.2%)

prune119.0ms (1.5%)

simplify146.0ms (1.8%)

localize162.0ms (2%)

series37.0ms (0.5%)

simplify399.0ms (4.9%)

rewrite189.0ms (2.3%)

eval67.0ms (0.8%)

prune63.0ms (0.8%)

simplify243.0ms (3%)

localize108.0ms (1.3%)

series36.0ms (0.4%)

simplify241.0ms (2.9%)

rewrite333.0ms (4.1%)

eval115.0ms (1.4%)

prune86.0ms (1.1%)

regimes146.0ms (1.8%)

regimes31.0ms (0.4%)

regimes124.0ms (1.5%)

regimes45.0ms (0.6%)

regimes81.0ms (1%)

regimes38.0ms (0.5%)

regimes21.0ms (0.3%)

regimes60.0ms (0.7%)

regimes53.0ms (0.6%)

regimes29.0ms (0.3%)

regimes44.0ms (0.5%)

regimes26.0ms (0.3%)

regimes33.0ms (0.4%)

regimes119.0ms (1.5%)

regimes58.0ms (0.7%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch23.0ms (0.3%)

bsearch1.0ms (0%)

simplify52.0ms (0.6%)

soundness76.0ms (0.9%)

end0.0ms (0%)

Profiling