Metrics for Rosa's TurbineBenchmark

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze148.0ms (1.1%)

Memory

-0.8MiB live, 203.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample1.8s (13.7%)

Memory

36.5MiB live, 2 251.2MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 885.0ms

ival-mult: 465.0ms (52.5% of total)

ival-sub: 166.0ms (18.8% of total)

ival-div: 120.0ms (13.6% of total)

ival-add: 108.0ms (12.2% of total)

exact: 17.0ms (1.9% of total)

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

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

Bogosity

explain355.0ms (2.7%)

Memory

-2.8MiB live, 459.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
39	0	-	0	-	`(.f64 (.f64 w w) r)`
20	0	-	1	(-4.215264551057215e-295 7.145918428825274e-267 8.320699373337575e+216)	`(.f64 (.f64 (*.f64 w w) r) r)`
16	0	-	1	(1.5162531637250572e+235 1.3971177195649283e-303 -1.400990228751075e+145)	`(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))`
15	0	-	0	-	`(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 9/2 binary64)`
0	0	-	0	-	`#s(literal 1/8 binary64)`
0	0	-	0	-	`v`
0	0	-	0	-	`(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))`
0	0	-	0	-	`(*.f64 w w)`
0	0	-	0	-	`(*.f64 r r)`
0	0	-	0	-	`(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))`
0	0	-	0	-	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
0	0	-	0	-	`(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) v)`
0	0	-	0	-	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
0	1	(-9.045884562494106e-240 -3.2639619201823863e-118 2.4652226068849317e+161)	0	-	`(/.f64 #s(literal 2 binary64) (*.f64 r r))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) v)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`w`
0	0	-	0	-	`r`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 w w) r)`	*no**	23	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	15	0
↳	`(.f64 (.f64 w w) r)`	overflow	57
↳	`(*.f64 w w)`	overflow	61
↳	`(.f64 (.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	80
↳	`(.f64 (.f64 (*.f64 w w) r) r)`	overflow	65
`*.f64`	`(.f64 (.f64 w w) r)`	*nu**	8	0
`*.f64`	`(.f64 (.f64 (*.f64 w w) r) r)`	*no**	7	0

Confusion

	Predicted +	Predicted -
+	47	0
-	0	209

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	0	0
-	0	0	209

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	209
1	41
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

100.0ms

512×

valid

Compiler

Compiled 328 to 70 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 51.0ms (70% of total)

ival-sub: 12.0ms (16.5% of total)

ival-div: 6.0ms (8.2% of total)

ival-add: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess565.0ms (4.3%)

Memory

-211.4MiB live, 352.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs r)

(abs w)

Compiler

Compiled 32 to 22 computations (31.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.3%	(-.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))

Status

Accuracy

Program

▶

82.3%

(-.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))

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify291.0ms (2.2%)

Memory

14.7MiB live, 525.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (0.5%)

Memory

7.2MiB live, 159.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	3.4498254886082105	(.f64 (.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	3.5295648061124885	(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.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	4.532308105835053	(.f64 (.f64 (*.f64 w w) r) r)
accuracy	9.0425513568218	(.f64 (.f64 w w) r)

Samples

42.0ms

256×

valid

Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sub: 12.0ms (43.8% of total)

ival-mult: 10.0ms (36.5% of total)

ival-div: 3.0ms (11% of total)

ival-add: 1.0ms (3.7% of total)

exact: 1.0ms (3.7% of total)

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

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

series37.0ms (0.3%)

Memory

5.1MiB live, 84.3MiB allocated

Counts

8 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

simplify287.0ms (2.2%)

Memory

0.0MiB live, 642.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite370.0ms (2.8%)

Memory

1.4MiB live, 489.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

8 → 399

Calls

Call 1

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

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

eval141.0ms (1.1%)

Memory: 16.0MiB live, 87.9MiB allocated
Compiler: Compiled 29 622 to 2 013 computations (93.2% saved)

prune189.0ms (1.4%)

Memory

-21.7MiB live, 98.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

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

Accuracy

99.9%

Counts

616 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.4%	(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
	46.0%	(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w))))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64))
	93.5%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	82.3%	(-.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))
	73.4%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))
▶	96.5%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	52.5%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
	47.5%	(-.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))
	32.1%	(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal 9/2 binary64))))
▶	44.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
	73.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	69.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
▶	73.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
▶	84.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	58.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
	49.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 r (.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (.f64 w w))))))
	34.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))

Compiler

Compiled 992 to 564 computations (43.1% saved)

simplify482.0ms (3.6%)

Memory

13.4MiB live, 406.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 2 binary64) r)
cost-diff	192	(-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
cost-diff	320	(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	576	(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
cost-diff	128	(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
cost-diff	0	(+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	192	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
cost-diff	320	(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))

Rules

31 588×	`lower-fma.f32`
31 578×	`lower-fma.f64`
6 654×	`lower-*.f32`
6 632×	`lower-*.f64`
2 580×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	495
0	89	488
1	200	472
2	485	472
3	2013	472
4	5125	472
0	8467	452

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (1.6%)

Memory

4.5MiB live, 326.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
accuracy	0.09765625	(.f64 w (.f64 r w))
accuracy	0.1171875	(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
accuracy	5.927629168405151	(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
accuracy	0.24999793583020583	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
accuracy	4.532308105835053	(.f64 r (.f64 r (*.f64 w w)))
accuracy	9.0425513568218	(.f64 r (.f64 w w))
accuracy	12.414981682068875	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
accuracy	0.15234375	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	0.792012206136566	(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
accuracy	4.605630592836209	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
accuracy	9.199774668904809	(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
accuracy	0	(*.f64 r r)
accuracy	0.15234375	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	35.43712786077573	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy	0.0546875	(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
accuracy	0.09765625	(.f64 w (.f64 r w))
accuracy	0.15234375	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	5.927629168405151	(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))

Samples

143.0ms

256×

valid

Compiler

Compiled 472 to 56 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 41.0ms (47.1% of total)

ival-mult: 29.0ms (33.3% of total)

ival-add: 8.0ms (9.2% of total)

ival-sub: 7.0ms (8% of total)

exact: 1.0ms (1.1% of total)

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

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

series53.0ms (0.4%)

Memory

6.6MiB live, 124.8MiB allocated

Counts

21 → 540

Calls

Call 1

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

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

Calls

135 calls:

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

simplify322.0ms (2.4%)

Memory

22.1MiB live, 524.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 142×	`lower-fma.f64`
18 142×	`lower-fma.f32`
5 728×	`lower-*.f64`
5 728×	`lower-*.f32`
3 654×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	10293
1	1116	9726
2	3740	8919
0	8289	8330

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

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

rewrite406.0ms (3.1%)

Memory

-18.1MiB live, 706.1MiB allocated

Rules

4 154×	`lower-/.f32`
4 146×	`lower-/.f64`
4 142×	`lower-*.f32`
4 120×	`lower-*.f64`
3 770×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	340
0	89	333
1	403	294
2	3702	294
0	9004	270

Stop Event

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

Counts

21 → 718

Calls

Call 1

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

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

eval241.0ms (1.8%)

Memory: 32.0MiB live, 449.9MiB allocated
Compiler: Compiled 70 548 to 2 530 computations (96.4% saved)

prune234.0ms (1.8%)

Memory

-27.4MiB live, 374.3MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 706	16	1 722
Fresh	8	4	12
Picked	3	2	5
Done	0	0	0
Total	1 717	22	1 739

Accuracy

100.0%

Counts

1 739 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.5%	(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) #s(approx (- 3 (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2)) #s(literal -3/2 binary64)))
	46.5%	(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal 15/2 binary64) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) (.f64 r (-.f64 #s(literal 9 binary64) (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))) (.f64 r (+.f64 #s(literal 15/2 binary64) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))))))
	46.0%	(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w))))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64))
▶	98.7%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
	47.5%	(-.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))
	54.9%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	92.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	80.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
▶	44.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓	44.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
▶	73.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
	79.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r (.f64 r w)) w) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	80.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 (.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	80.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
✓	84.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
▶	58.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
	34.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 (.f64 r r) #s(literal -1/8 binary64)) (/.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))))
	26.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))))
	64.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) -3/2)) (.f64 v (+.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal 2 binary64) (.f64 v (.f64 r r)))) (/.f64 #s(literal -3/2 binary64) v)))))
▶	50.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))))
	39.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))))
	32.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)))))

Compiler

Compiled 1 037 to 582 computations (43.9% saved)

simplify364.0ms (2.7%)

Memory

23.7MiB live, 372.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 w w)
cost-diff	0	#s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w))))) #s(literal -3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))))
cost-diff	512	(fma.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) r)
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff	192	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))

Rules

17 666×	`lower-fma.f32`
17 656×	`lower-fma.f64`
7 468×	`lower-*.f32`
7 452×	`lower-*.f64`
1 794×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	466
0	89	464
1	193	464
2	549	443
3	2182	439
4	5283	439
0	8211	429

Stop Event

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

Calls

Call 1

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

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

localize298.0ms (2.2%)

Memory

6.6MiB live, 212.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.532308105835053	(.f64 r (.f64 r (*.f64 w w)))
accuracy	4.605630592836209	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))))
accuracy	9.0425513568218	(.f64 r (.f64 w w))
accuracy	21.511851469439062	(fma.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
accuracy	0.15234375	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	0.171875	(.f64 #s(literal 3/8 binary64) (.f64 r r))
accuracy	4.565499588698963	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
accuracy	13.96106767219057	(fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
accuracy	0	(/.f64 #s(literal 2 binary64) r)
accuracy	0.12890625	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy	35.43712786077573	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
accuracy	0	(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy	0	(*.f64 r r)
accuracy	0.15234375	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	26.418627782559525	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy	0.15234375	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	0.764638575258322	(fma.f64 w (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
accuracy	1.9360985199506722	(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
accuracy	3.584309975959696	(.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))

Samples

193.0ms

256×

valid

Compiler

Compiled 390 to 55 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 141.0ms (83.2% of total)

ival-add: 11.0ms (6.5% of total)

ival-div: 9.0ms (5.3% of total)

ival-sub: 6.0ms (3.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series76.0ms (0.6%)

Memory

-16.2MiB live, 90.4MiB allocated

Counts

22 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
16.0ms	w	@	0	(+ (* (* w w) (+ (* -1/4 (* r r)) (/ 2 (* r (* r (* w w)))))) -3/2)
6.0ms	v	@	-inf	(* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))
1.0ms	r	@	0	(* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))
1.0ms	r	@	inf	(- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2))
1.0ms	w	@	0	(* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))

simplify359.0ms (2.7%)

Memory

15.8MiB live, 443.2MiB allocated

Algorithm

1×	egg-herbie

Rules

19 508×	`lower-fma.f64`
19 508×	`lower-fma.f32`
5 674×	`lower-*.f64`
5 674×	`lower-*.f32`
2 706×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	410	9662
1	1363	9213
2	4713	9030
0	8218	8435

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

rewrite326.0ms (2.5%)

Memory

-18.1MiB live, 506.6MiB allocated

Rules

4 694×	`lower-/.f32`
4 684×	`lower-/.f64`
4 680×	`lower-*.f32`
4 664×	`lower-*.f64`
4 088×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	382
0	89	382
1	405	357
2	3960	357
0	9818	332

Stop Event

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

Counts

22 → 502

Calls

Call 1

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

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

eval211.0ms (1.6%)

Memory: 7.0MiB live, 326.2MiB allocated
Compiler: Compiled 36 856 to 1 977 computations (94.6% saved)

prune234.0ms (1.8%)

Memory

-30.9MiB live, 326.0MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1 217	13	1 230
Fresh	6	9	15
Picked	2	3	5
Done	0	2	2
Total	1 225	27	1 252

Accuracy

100.0%

Counts

1 252 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.5%	(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal 15/2 binary64) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) (.f64 r (-.f64 #s(literal 9 binary64) (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))) (.f64 r (+.f64 #s(literal 15/2 binary64) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))))))
	46.0%	(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w))))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64))
	84.2%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w #s(approx ( (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8)) (.f64 (.f64 r r) (*.f64 w #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)))
	47.5%	(-.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))
	54.9%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	55.0%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
▶	92.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	80.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
✓	44.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓	44.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
▶	91.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r (.f64 r w)) #s(literal 3/8 binary64)) w #s(literal 3/2 binary64))))
	80.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 #s(literal 3/8 binary64) (.f64 w w)) r) r #s(literal 3/2 binary64))))
	90.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
	65.4%	#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(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64))))))
	79.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r (.f64 r w)) w) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
✓	84.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
▶	58.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
✓	58.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
	32.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	26.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))))
	64.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) -3/2)) (.f64 v (+.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal 2 binary64) (.f64 v (.f64 r r)))) (/.f64 #s(literal -3/2 binary64) v)))))
▶	15.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))
▶	67.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w)))))) w #s(literal -3/2 binary64))))
✓	50.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))))
	39.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r r) (.f64 w (*.f64 w #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
	32.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
	33.3%	#s(approx (- (+ 3 (/ 2 (* r r))) (+ (* w (* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))) 9/2)) (.f64 (/.f64 (.f64 r (.f64 r (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) (.f64 w (neg.f64 w))))

Compiler

Compiled 1 141 to 641 computations (43.8% saved)

simplify353.0ms (2.7%)

Memory

24.6MiB live, 453.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w)))))) w #s(literal -3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w)))))) w #s(literal -3/2 binary64))))
cost-diff	192	(fma.f64 (.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w)))))) w #s(literal -3/2 binary64))
cost-diff	320	(.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w))))))
cost-diff	0	(*.f64 r r)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r (.f64 r w)) #s(literal 3/8 binary64)) w #s(literal 3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r (.f64 r w)) #s(literal 3/8 binary64)) w #s(literal 3/2 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) r)
cost-diff	0	(+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #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 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff	0	#s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))
cost-diff	0	(.f64 r (.f64 r w))
cost-diff	0	(*.f64 w #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))

Rules

17 858×	`lower-fma.f32`
17 850×	`lower-fma.f64`
7 416×	`lower-*.f32`
7 398×	`lower-*.f64`
3 886×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	482
0	85	477
1	179	477
2	413	457
3	1324	450
4	3801	450
0	8505	439

Stop Event

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

Calls

Call 1

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

localize159.0ms (1.2%)

Memory

-14.5MiB live, 309.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.532308105835053	(.f64 r (.f64 w (*.f64 r w)))
accuracy	4.605630592836209	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w)))))) w #s(literal -3/2 binary64))))
accuracy	5.902380018012125	(fma.f64 (.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w)))))) w #s(literal -3/2 binary64))
accuracy	10.204289248173424	(.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w))))))
accuracy	0.15234375	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	0.16015625	(.f64 (.f64 r (*.f64 r w)) #s(literal 3/8 binary64))
accuracy	0.76463382479962	(fma.f64 (.f64 (.f64 r (*.f64 r w)) #s(literal 3/8 binary64)) w #s(literal 3/2 binary64))
accuracy	4.565499588698963	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r (.f64 r w)) #s(literal 3/8 binary64)) w #s(literal 3/2 binary64))))
accuracy	0	(/.f64 #s(literal 2 binary64) r)
accuracy	0	(+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
accuracy	0.12890625	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy	26.418627782559525	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
accuracy	26.418627782559525	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))
accuracy	32.29806411529272	#s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64))
accuracy	0.1484375	(.f64 r (.f64 r w))
accuracy	0.15234375	(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy	0.772480956136566	(fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
accuracy	4.605630592836209	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))

Samples

83.0ms

256×

valid

Compiler

Compiled 379 to 56 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 32.0ms (52.5% of total)

ival-add: 15.0ms (24.6% of total)

ival-div: 8.0ms (13.1% of total)

ival-sub: 5.0ms (8.2% of total)

exact: 1.0ms (1.6% of total)

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

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

series44.0ms (0.3%)

Memory

22.8MiB live, 59.8MiB allocated

Counts

21 → 480

Calls

Call 1

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

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

Calls

120 calls:

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

simplify302.0ms (2.3%)

Memory

13.2MiB live, 482.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 290×	`lower-fma.f64`
12 290×	`lower-fma.f32`
3 966×	`lower-*.f64`
3 966×	`lower-*.f32`
3 212×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	8563
1	582	8333
2	1950	7659
3	7274	7639
0	8451	7112

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

rewrite830.0ms (6.3%)

Memory

-42.6MiB live, 378.7MiB allocated

Rules

4 204×	`lower-fma.f32`
4 196×	`lower-fma.f64`
4 136×	`lower-*.f32`
4 118×	`lower-*.f64`
4 100×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	403
0	85	401
1	391	374
2	3406	374
0	8690	344

Stop Event

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

Counts

21 → 381

Calls

Call 1

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

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

eval164.0ms (1.2%)

Memory: 39.0MiB live, 223.5MiB allocated
Compiler: Compiled 25 291 to 1 176 computations (95.4% saved)

prune265.0ms (2%)

Memory

-33.7MiB live, 379.8MiB allocated

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	944	7	951
Fresh	7	10	17
Picked	1	4	5
Done	1	4	5
Total	953	25	978

Accuracy

100.0%

Counts

978 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.5%	(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal 15/2 binary64) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) (.f64 r (-.f64 #s(literal 9 binary64) (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))) (.f64 r (+.f64 #s(literal 15/2 binary64) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))))))
	47.5%	(-.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))
	54.9%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	55.0%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
	90.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
✓	92.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	80.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
✓	44.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓	44.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
	80.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 #s(literal 3/8 binary64) (.f64 w w)) r) r #s(literal 3/2 binary64))))
	92.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r w) (.f64 r (.f64 w #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))
	76.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* (* r (* r w)) 3/8) w) 3/2) (.f64 w (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)))))))
	65.4%	#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(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64))))))
✓	58.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
✓	58.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
	32.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* r (* r w)) 3/8) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	26.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))))
	64.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) -3/2)) (.f64 v (+.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal 2 binary64) (.f64 v (.f64 r r)))) (/.f64 #s(literal -3/2 binary64) v)))))
	32.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
✓	15.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))
✓	67.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w)))))) w #s(literal -3/2 binary64))))
✓	50.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w))))) #s(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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(approx (* w (+ (* r (* r -1/4)) (/ 2 (* r (* w (* r w)))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 r r) w))) w #s(literal -3/2 binary64))))
	41.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(approx (* w (+ (* r (* r -1/4)) (/ 2 (* r (* w (* r w)))))) (.f64 w (.f64 (*.f64 r r) #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64))))
	33.3%	#s(approx (- (+ 3 (/ 2 (* r r))) (+ (* w (* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))) 9/2)) (.f64 (/.f64 (.f64 r (.f64 r (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) (.f64 w (neg.f64 w))))

Compiler

Compiled 1 617 to 507 computations (68.6% saved)

regimes97.0ms (0.7%)

Memory

9.2MiB live, 198.4MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* (* r (* r w)) 3/8) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(approx (* w (+ (* r (* r -1/4)) (/ 2 (* r (* w (* r w)))))) (.f64 w (.f64 (*.f64 r r) #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r r) (.f64 w (*.f64 w #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (fma.f64 v #s(literal -1/8 binary64) #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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(approx (* w (+ (* r (* r -1/4)) (/ 2 (* r (* w (* r w)))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 r r) w))) w #s(literal -3/2 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) #s(approx (- 3 (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* (* r (* r w)) 3/8) w) 3/2) (.f64 w (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r w) (.f64 r (.f64 w #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 #s(literal 3/8 binary64) (.f64 w w)) r) r #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r (.f64 r w)) #s(literal 3/8 binary64)) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (+ 3 (/ 2 (* r r))) (+ (* w (* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))) 9/2)) (.f64 (/.f64 (.f64 r (.f64 r (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) (.f64 w (neg.f64 w))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w #s(approx ( (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8)) (.f64 (.f64 r r) (*.f64 w #s(literal 3/8 binary64)))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 (.f64 r r) #s(literal -1/8 binary64)) (/.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w w) (fma.f64 #s(literal -1/4 binary64) (.f64 r r) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w (fma.f64 r (.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 w (*.f64 r w)))))) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 (.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 r (.f64 r w)) w) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) -3/2)) (.f64 v (+.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal 2 binary64) (.f64 v (.f64 r r)))) (/.f64 #s(literal -3/2 binary64) v)))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 r (.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (.f64 w w))))))
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w))))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal 15/2 binary64) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)))) (.f64 r (-.f64 #s(literal 9 binary64) (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))) (.f64 r (+.f64 #s(literal 15/2 binary64) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 (.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal 9/2 binary64))))

Outputs

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

Calls

6 calls:

19.0ms	w
17.0ms	r
14.0ms	v
14.0ms	(*.f64 w w)
14.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
98.7%	1	`v`
98.7%	1	`w`
98.7%	1	`r`
98.7%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
98.7%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
98.7%	1	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes101.0ms (0.8%)

Memory

31.2MiB live, 146.8MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

27.0ms	w
27.0ms	r
12.0ms	v
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)))
11.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
99.1%	3	`v`
92.7%	1	`w`
98.5%	2	`r`
99.2%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
99.2%	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)))`
92.7%	1	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes51.0ms (0.4%)

Memory

-5.6MiB live, 102.6MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

14.0ms	v
14.0ms	r
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))
9.0ms	(-.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
99.1%	3	`v`
96.7%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
96.7%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
97.4%	2	`r`

Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes52.0ms (0.4%)

Memory

7.9MiB live, 55.5MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

27.0ms	r
8.0ms	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))
7.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
95.5%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
95.5%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
92.7%	1	`r`
94.4%	2	`v`

Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes98.0ms (0.7%)

Memory

10.0MiB live, 112.9MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

47.0ms	v
22.0ms	(-.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	r
7.0ms	w
6.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
92.4%	2	`w`
91.5%	2	`r`
92.4%	2	`(*.f64 w w)`
87.8%	3	`v`
93.9%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
93.9%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes42.0ms (0.3%)

Memory

10.4MiB live, 93.2MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

16.0ms	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))
6.0ms	r
6.0ms	(*.f64 w w)
5.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
84.7%	1	`r`
92.3%	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))`
92.3%	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)))`
89.9%	2	`(*.f64 w w)`
89.9%	2	`w`

Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes27.0ms (0.2%)

Memory

-3.7MiB live, 72.5MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	(*.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)))
6.0ms	w
5.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
89.5%	2	`w`
89.5%	2	`(*.f64 w w)`
89.5%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
89.5%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 72 to 49 computations (31.9% saved)

regimes31.0ms (0.2%)

Memory

-2.9MiB live, 73.7MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

10.0ms	(*.f64 w 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)))
6.0ms	w
5.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
90.4%	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))`
90.4%	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)))`
78.9%	2	`w`
78.9%	2	`(*.f64 w w)`

Compiler

Compiled 72 to 49 computations (31.9% saved)

regimes14.0ms (0.1%)

Memory

-1.6MiB live, 35.8MiB allocated

Counts

18 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

8.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
90.4%	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))`
90.4%	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 42 computations (32.3% saved)

regimes7.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
89.5%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
89.5%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes8.0ms (0.1%)

Memory

-20.4MiB live, 16.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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)))

3.0ms

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

Results

Accuracy	Segments	Branch
87.0%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
87.0%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes19.0ms (0.1%)

Memory

-0.9MiB live, 42.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	r
2.0ms	v
2.0ms	w
2.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
2.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
58.6%	1	`w`
58.6%	1	`(*.f64 w w)`
58.6%	1	`r`
58.6%	1	`v`
58.6%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
58.6%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes11.0ms (0.1%)

Memory

-1.6MiB live, 36.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

6 calls:

3.0ms	v
2.0ms	w
2.0ms	r
1.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
1.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
57.1%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
57.1%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
44.5%	1	`v`
58.5%	2	`r`
48.5%	2	`w`
44.5%	1	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory

-10.8MiB live, 27.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
15.5%	1	`(*.f64 w w)`
15.5%	1	`v`
15.5%	1	`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 80 to 55 computations (31.3% saved)

bsearch26.0ms (0.2%)

Memory

22.0MiB live, 59.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.176653436013221e-5	8.110884880239912

Samples

16.0ms

144×

valid

Compiler

Compiled 458 to 316 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (40% of total)

ival-sub: 4.0ms (32% of total)

ival-div: 2.0ms (16% of total)

ival-add: 1.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.4%)

Memory

-8.8MiB live, 55.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.12402227120806848	1131337784788.4968
40.0ms	-8.155485956078306e+30	-2.006926091796775e+29

Samples

18.0ms

176×

valid

Compiler

Compiled 497 to 336 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (54.4% of total)

ival-sub: 3.0ms (23.3% of total)

ival-div: 2.0ms (15.6% of total)

ival-add: 1.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-4.731606612665033e+278

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch46.0ms (0.3%)

Memory

-30.3MiB live, 46.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.7671052089377682e+20	1.7806650314333693e+23

Samples

14.0ms

128×

valid

Compiler

Compiled 379 to 244 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (55.4% of total)

ival-div: 2.0ms (18.5% of total)

ival-sub: 2.0ms (18.5% of total)

ival-add: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.621016525173782e+22	2.999999999937951
0.0ms	-inf	-4.731606612665033e+278

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2269323565356704e-216	9.105110574033412e-216

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.621016525173782e+22	2.999999999937951
0.0ms	-inf	-4.731606612665033e+278

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.621016525173782e+22	2.999999999937951
0.0ms	-inf	-4.731606612665033e+278

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.621016525173782e+22	2.999999999937951
0.0ms	-inf	-4.731606612665033e+278

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.621016525173782e+22	2.999999999937951

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch21.0ms (0.2%)

Memory

15.4MiB live, 48.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.176653436013221e-5	8.110884880239912

Samples

15.0ms

96×

valid

Compiler

Compiled 188 to 136 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 7.0ms (54.6% of total)

ival-mult: 4.0ms (31.2% of total)

ival-div: 1.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify40.0ms (0.3%)

Memory

-1.3MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Rules

266×	`unsub-neg_binary64`
174×	`neg-mul-1_binary64`
110×	`*-commutative_binary64`
90×	`distribute-lft-neg-in_binary64`
86×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1723
1	216	1723
2	251	1723
3	283	1723
4	327	1723
5	380	1723
6	509	1723
7	698	1723
8	812	1723
9	837	1723
10	845	1723
11	846	1723

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(if (<=.f64 r #s(literal 8 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 v #s(literal -205000000000000016742722043904 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r w) (.f64 r (.f64 w #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r w) (.f64 r (.f64 w #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))
(if (<=.f64 w #s(literal 1220000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (.f64 w w) #s(literal 7762590461503545/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* (* r (* r w)) 3/8) w) 3/2) (.f64 w (.f64 w (.f64 (.f64 r r) #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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(approx (* w (+ (* r (* r -1/4)) (/ 2 (* r (* w (* r w)))))) (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(approx (* w (+ (* r (* r -1/4)) (/ 2 (* r (* w (* r w)))))) (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 r #s(literal 5224175567749775/4503599627370496 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))

Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 w (.f64 (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(if (<=.f64 r #s(literal 8 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 v #s(literal -205000000000000016742722043904 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r w) (.f64 r (.f64 w #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r w) (.f64 r (.f64 w #s(literal 3/8 binary64))) #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 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r w) (.f64 r (.f64 w #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))
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(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(approx (* w (+ (* r (* r -1/4)) (/ 2 (* r (* w (* r w)))))) (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64)))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 (.f64 w w) (.f64 (.f64 r r) #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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(approx (* w (+ (* r (* r -1/4)) (/ 2 (* r (* w (* r w)))))) (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(approx (* w (+ (* r (* r -1/4)) (/ 2 (* r (* w (* r w)))))) (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64)))) w #s(literal -3/2 binary64)))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.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 -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -10000000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) (.f64 w w))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 5224175567749775/4503599627370496 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (/ 2 (* r r))) #s(literal -3/2 binary64)))

soundness2.2s (16.5%)

Memory

37.6MiB live, 1 587.2MiB allocated

Rules

19 508×	`lower-fma.f64`
19 508×	`lower-fma.f32`
18 142×	`lower-fma.f64`
18 142×	`lower-fma.f32`
14 382×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	410	9662
1	1363	9213
2	4713	9030
0	8218	8435
0	57	340
0	89	333
1	403	294
2	3702	294
0	9004	270
0	59	382
0	89	382
1	405	357
2	3960	357
0	9818	332
0	22	114
0	36	114
1	149	104
2	1353	104
0	8965	94
0	347	10293
1	1116	9726
2	3740	8919
0	8289	8330
0	189	8563
1	582	8333
2	1950	7659
3	7274	7639
0	8451	7112
0	59	403
0	85	401
1	391	374
2	3406	374
0	8690	344
0	227	4018
1	745	3856
2	2580	3578
0	8212	3390

Stop Event

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

Compiler

Compiled 1 360 to 548 computations (59.7% saved)

preprocess123.0ms (0.9%)

Memory

-41.5MiB live, 255.2MiB allocated

Remove

(abs w)

(abs r)

Compiler

Compiled 2 246 to 544 computations (75.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze148.0ms (1.1%)

sample1.8s (13.7%)

explain355.0ms (2.7%)

preprocess565.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify291.0ms (2.2%)

localize66.0ms (0.5%)

series37.0ms (0.3%)

simplify287.0ms (2.2%)

rewrite370.0ms (2.8%)

eval141.0ms (1.1%)

prune189.0ms (1.4%)

simplify482.0ms (3.6%)

localize213.0ms (1.6%)

series53.0ms (0.4%)

simplify322.0ms (2.4%)

rewrite406.0ms (3.1%)

eval241.0ms (1.8%)

prune234.0ms (1.8%)

simplify364.0ms (2.7%)

localize298.0ms (2.2%)

series76.0ms (0.6%)

simplify359.0ms (2.7%)

rewrite326.0ms (2.5%)

eval211.0ms (1.6%)

prune234.0ms (1.8%)

simplify353.0ms (2.7%)

localize159.0ms (1.2%)

series44.0ms (0.3%)

simplify302.0ms (2.3%)

rewrite830.0ms (6.3%)

eval164.0ms (1.2%)

prune265.0ms (2%)

regimes97.0ms (0.7%)

regimes101.0ms (0.8%)

regimes51.0ms (0.4%)

regimes52.0ms (0.4%)

regimes98.0ms (0.7%)

regimes42.0ms (0.3%)

regimes27.0ms (0.2%)

regimes31.0ms (0.2%)

regimes14.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes19.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch26.0ms (0.2%)

bsearch53.0ms (0.4%)

bsearch1.0ms (0%)

bsearch46.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.2%)

simplify40.0ms (0.3%)

soundness2.2s (16.5%)

preprocess123.0ms (0.9%)

end0.0ms (0%)

Profiling