Metrics for Rosa's TurbineBenchmark

analyze118.0ms (0.8%)

Memory

6.9MiB live, 235.4MiB 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 (12.3%)

Memory

-97.1MiB live, 2 578.7MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 877.0ms

ival-mult: 476.0ms (54.3% of total)

ival-sub: 185.0ms (21.1% of total)

ival-div: 151.0ms (17.2% of total)

ival-add: 40.0ms (4.6% of total)

exact: 16.0ms (1.8% of total)

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

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

Bogosity

preprocess726.0ms (4.9%)

Memory

-33.6MiB live, 568.7MiB allocated

Algorithm

2×	egg-herbie

Rules

16 612×	`accelerator-lowering-fma.f32`
16 612×	`accelerator-lowering-fma.f64`
6 932×	`-lowering-.f32`
6 932×	`-lowering-.f64`
1 710×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	297
1	279	293
2	1049	273
3	3567	270
4	7141	270
0	22	29
1	58	29
2	170	25
3	699	25
4	3914	25
5	7892	25
0	8124	23

Stop Event

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

Calls

Call 1

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

Outputs

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

Call 2

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

Outputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(+ (* (* r r) (/ (* (+ 3/8 (* 1/8 (* v -2))) (* w w)) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2)
(+ (/ 2 (* r r)) (+ (* (* (* w w) (* r (* 1/8 (- 3 (* v -2))))) (/ r (- -1 v))) -3/2))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2)
(+ (* (* r r) (/ (* (+ 3/8 (* 1/8 (* v -2))) (* w w)) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2)
(+ (* (* r r) (/ (* (+ 3/8 (* 1/8 (* v -2))) (* w w)) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2))
(+ (* (* 1/8 (- 3 (* v -2))) (* (* w w) (* r (/ r (+ v 1))))) (+ (/ -2 (* r r)) 3/2))
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2))
(+ (* (* r (* r (* w w))) (* (+ 3 (* v -2)) (/ 1/8 (- 1 v)))) (+ (/ -2 (* r r)) 3/2))
(neg (- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2))
(+ (* (* r (* r (* w w))) (* (+ 3 (* v -2)) (/ 1/8 (- 1 v)))) (+ (/ -2 (* r r)) 3/2))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 w))) (* (* (* v v) r) r)) (- 1 w))) 9/2)
(+ (* (* (* r (* v v)) (/ r (- 1 w))) (* (- 3 (* 2 w)) -1/8)) (+ (/ 2 (* r r)) -3/2))
(- (- (+ 3 (/ 2 (* v v))) (/ (* (* 1/8 (- 3 (* 2 r))) (* (* (* w w) v) v)) (- 1 r))) 9/2)
(+ (* (* (+ 3 (* r -2)) (* v (* v (* w w)))) (/ 1/8 (+ r -1))) (+ (/ 2 (* v v)) -3/2))
(- (- (+ 3 (/ 2 (* w w))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r r) w) w)) (- 1 v))) 9/2)
(- (- -3/2 (/ -2 (* w w))) (* (* r (* r (* w w))) (* (+ 3 (* v -2)) (/ 1/8 (- 1 v)))))

Symmetry

(abs w)

(abs r)

explain357.0ms (2.4%)

Memory

-1.8MiB live, 652.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
40	0	-	3	(3.4890544334422616e+140 3.22794030882704e-161 6.469540238099664e+243)	`(.f64 (.f64 w w) r)`
16	0	-	4	(2.8407309586201147e+66 1.470211735511738e-258 1.196982728194586e+204)	`(.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))`
15	0	-	1	(-1.684508075255923e+170 9.621916102056587e-256 6.801332713359193e+95)	`(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))`
4	1	(-6.2952119203332476e-304 4.46166946330247e+27 1.9219243020606304e+161)	0	-	`(/.f64 #s(literal 2 binary64) (*.f64 r r))`
1	0	-	0	-	`(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 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 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	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**	21	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	69
↳	`(*.f64 w w)`	overflow	72
↳	`(.f64 (.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	94
↳	`(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))`	overflow	1
↳	`(*.f64 #s(literal 2 binary64) v)`	overflow	1
↳	`(.f64 (.f64 (*.f64 w w) r) r)`	overflow	79
`*.f64`	`(.f64 (.f64 (*.f64 w w) r) r)`	*no**	8	0
`*.f64`	`(.f64 (.f64 w w) r)`	*nu**	7	0
`*.f64`	`(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	45	1
-	2	208

Precision

0.9574468085106383

Recall

0.9782608695652174

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	1
-	2	0	208

Precision?

0.9574468085106383

Recall?

0.9782608695652174

Freqs

test

number	freq
0	209
1	42
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms

512×

valid

Compiler

Compiled 360 to 92 computations (74.4% saved)

Precisions

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

ival-mult: 29.0ms (59% of total)

ival-sub: 9.0ms (18.3% of total)

ival-div: 7.0ms (14.2% of total)

ival-add: 2.0ms (4.1% of total)

exact: 1.0ms (2% of total)

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

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

eval0.0ms (0%)

Memory: 0.9MiB live, 0.8MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.9%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Status

Accuracy

Program

▶

82.9%

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify463.0ms (3.1%)

Memory

-7.9MiB live, 797.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

16 612×	`accelerator-lowering-fma.f32`
16 612×	`accelerator-lowering-fma.f64`
6 932×	`-lowering-.f32`
6 932×	`-lowering-.f64`
1 710×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	146
1	58	146
2	170	134
3	699	134
4	3914	134
5	7892	134
0	8124	126

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize60.0ms (0.4%)

Memory

28.1MiB live, 146.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.2%	(.f64 (.f64 (*.f64 w w) r) r)
✓	accuracy	94.5%	(.f64 (.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	94.5%	(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	86.4%	(.f64 (.f64 w w) r)

Samples

33.0ms

256×

valid

Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (50.9% of total)

ival-sub: 4.0ms (20.4% of total)

ival-div: 3.0ms (15.3% of total)

ival-add: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Memory

-12.0MiB live, 63.5MiB allocated

Counts

8 → 216

Calls

Call 1

Inputs
#<alt (* 1/8 (- 3 (* 2 v)))>
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))>
#<alt (- 3 (* 2 v))>
#<alt (* (* w w) r)>
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))>
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))>
#<alt (* (* (* w w) r) r)>

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

Calls

54 calls:

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

rewrite404.0ms (2.7%)

Memory

-12.8MiB live, 829.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 012×	`-lowering-.f32`
6 012×	`-lowering-.f64`
5 632×	`accelerator-lowering-fma.f32`
5 632×	`accelerator-lowering-fma.f64`
4 766×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	114
1	135	104
2	1339	104
0	8951	94

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 399

Calls

Call 1

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

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

simplify479.0ms (3.2%)

Memory

21.4MiB live, 663.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 382×	`accelerator-lowering-fma.f32`
14 382×	`accelerator-lowering-fma.f64`
5 144×	`+-lowering-+.f64`
5 144×	`+-lowering-+.f32`
4 118×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval85.0ms (0.6%)

Memory: -4.7MiB live, 184.5MiB allocated
Compiler: Compiled 29 406 to 2 004 computations (93.2% saved)

prune117.0ms (0.8%)

Memory

11.5MiB live, 212.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	599	16	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	600	16	616

Accuracy

99.3%

Counts

616 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.2%	(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
	49.2%	(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 (.f64 r r) (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
	51.5%	(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))
▶	43.4%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	79.1%	(-.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 (.f64 (.f64 w w) (/.f64 (.f64 r r) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
▶	76.9%	(-.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)))
	45.9%	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
▶	82.9%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (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))
	92.1%	(-.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 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
▶	93.6%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 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))
	75.2%	(+.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)))
	72.4%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
	87.9%	(+.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))))
	55.6%	(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
▶	60.3%	(.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)))))
	37.5%	(.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 790 to 538 computations (31.9% saved)

simplify288.0ms (1.9%)

Memory

-10.9MiB live, 539.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.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))))
✓	cost-diff	0	(*.f64 w w)
✓	cost-diff	320	(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)))
✓	cost-diff	1664	(.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)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	cost-diff	128	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
✓	cost-diff	192	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
✓	cost-diff	0	(fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	128	(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
✓	cost-diff	128	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v)))
✓	cost-diff	192	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
✓	cost-diff	320	(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))

Rules

10 712×	`accelerator-lowering-fma.f32`
10 712×	`accelerator-lowering-fma.f64`
6 504×	`-lowering-.f32`
6 504×	`-lowering-.f64`
1 544×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	500
1	161	500
2	528	470
3	2173	468
4	5412	468
0	8185	441

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize188.0ms (1.3%)

Memory

24.6MiB live, 466.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.8%	(/.f64 (.f64 r (.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	88.4%	(+.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))))
✓	accuracy	86.4%	(.f64 r (.f64 w w))
✓	accuracy	70.6%	(.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)))))
✓	accuracy	95.2%	(.f64 (.f64 (*.f64 w w) r) r)
✓	accuracy	94.5%	(.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 w w) r) r))
✓	accuracy	94.5%	(/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	86.4%	(.f64 (.f64 w w) r)
✓	accuracy	100.0%	(-.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)))
✓	accuracy	99.8%	(.f64 #s(literal 3/8 binary64) (.f64 r r))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	80.6%	(fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	94.7%	(.f64 w (.f64 (*.f64 r w) r))
✓	accuracy	94.5%	(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r)))
✓	accuracy	94.5%	(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))

Samples

81.0ms	237×	0	valid
8.0ms	12×	1	valid
8.0ms	7×	2	valid

Compiler

Compiled 481 to 56 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 33.0ms (51% of total)

ival-div: 11.0ms (17% of total)

ival-sub: 8.0ms (12.4% of total)

ival-add: 7.0ms (10.8% of total)

adjust: 4.0ms (6.2% of total)

exact: 1.0ms (1.5% of total)

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

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

series48.0ms (0.3%)

Memory

-7.4MiB live, 108.3MiB allocated

Counts

25 → 648

Calls

Call 1

Inputs
#<alt (* 1/8 (- 3 (* 2 v)))>
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v)))>
#<alt (- 3 (* 2 v))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2))>
#<alt (+ (* (* w w) (* 3/8 (* r r))) 3/2)>
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* (* w w) r) r)) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* (* w w) r) r)) (- 1 v)))>
#<alt (+ 3 (/ 2 (* r r)))>
#<alt (* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))>
#<alt (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))>
#<alt (* w w)>
#<alt (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))>
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))>
#<alt (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r)))>
#<alt (* w (* (* r w) r))>
#<alt (* 3/8 (* r r))>
#<alt (* (* w w) r)>
#<alt (/ (* (+ (* -1/4 v) 3/8) (* (* (* w w) r) r)) (- 1 v))>
#<alt (* (+ (* -1/4 v) 3/8) (* (* (* w w) r) r))>
#<alt (* (* (* w w) r) r)>
#<alt (* r (* w w))>
#<alt (/ (* r (* r (+ (* v -2) 3))) (- 1 v))>

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

Calls

162 calls:

Time	Variable		Point	Expression
4.0ms	v	@	-inf	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) 9/2)
4.0ms	v	@	0	(- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* (* w w) r) r)) (- 1 v))) 9/2)
2.0ms	v	@	0	(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))
1.0ms	w	@	0	(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))
1.0ms	v	@	0	(/ (* (+ (* -1/4 v) 3/8) (* (* (* w w) r) r)) (- 1 v))

rewrite420.0ms (2.8%)

Memory

1.9MiB live, 738.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 014×	`/-lowering-/.f32`
5 014×	`/-lowering-/.f64`
4 684×	`-lowering-.f32`
4 684×	`-lowering-.f64`
3 438×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	359
1	356	331
2	3864	331
0	9980	303

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 812

Calls

Call 1

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

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

simplify873.0ms (5.9%)

Memory

18.4MiB live, 592.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 832×	`accelerator-lowering-fma.f32`
19 832×	`accelerator-lowering-fma.f64`
5 058×	`-lowering-.f32`
5 058×	`-lowering-.f64`
3 702×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	12367
1	2078	11474
2	7214	11474
0	8517	10820

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

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

eval474.0ms (3.2%)

Memory: -11.8MiB live, 330.4MiB allocated
Compiler: Compiled 69 268 to 3 927 computations (94.3% saved)

prune228.0ms (1.5%)

Memory

33.8MiB live, 425.5MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	1 730	24	1 754
Fresh	8	3	11
Picked	4	1	5
Done	0	0	0
Total	1 742	28	1 770

Accuracy

99.6%

Counts

1 770 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.4%	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
	44.7%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 r (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal -9/4 binary64)))) (.f64 r (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	44.6%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 (.f64 r r) (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal -9/4 binary64)))) (.f64 (.f64 r r) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	43.0%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal 9/4 binary64)) (.f64 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 #s(literal 27/512 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal 9/4 binary64)) (.f64 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))))
✓	43.4%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	80.9%	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w w) (.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64)))
	87.3%	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))
	80.9%	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 r (.f64 w w)) #s(literal 3/2 binary64)))
▶	68.4%	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r))))
	45.9%	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
▶	55.6%	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
▶	92.1%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
▶	91.3%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (*.f64 r w))) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	90.8%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) r) (.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	83.6%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (*.f64 w w))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
	91.9%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
	91.9%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) (.f64 (.f64 r (*.f64 r w)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
	48.4%	(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 (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))
	51.1%	(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 (.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	80.0%	(-.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 (.f64 r r) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
	77.8%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal -1/4 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
	75.2%	(+.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)))
	87.9%	(+.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))))
	61.0%	(.f64 (.f64 w w) (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) (.f64 r (.f64 w w))) (fma.f64 (.f64 #s(literal -1/8 binary64) r) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
	22.8%	(.f64 (.f64 w w) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w)))))
	35.2%	(.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w)))
▶	38.3%	(.f64 (neg.f64 (.f64 r r)) (.f64 (.f64 w w) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))
	43.2%	(neg.f64 (.f64 r (.f64 r (fma.f64 #s(literal 3/8 binary64) (.f64 w w) (/.f64 #s(literal 3/2 binary64) (.f64 r r))))))

Compiler

Compiled 1 470 to 862 computations (41.4% saved)

simplify280.0ms (1.9%)

Memory

-15.1MiB live, 508.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

10 560×	`accelerator-lowering-fma.f32`
10 560×	`accelerator-lowering-fma.f64`
4 120×	`-lowering-.f32`
4 120×	`-lowering-.f64`
1 988×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	388
1	122	388
2	387	384
3	1351	383
4	3395	383
5	6175	383
0	8383	363

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize159.0ms (1.1%)

Memory

-0.2MiB live, 324.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	96.0%	(.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (*.f64 r w)))
✓	accuracy	95.1%	(.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r w))) w)
✓	accuracy	94.5%	(/.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r w))) w) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	100.0%	(neg.f64 (*.f64 r r))
✓	accuracy	100.0%	(/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	99.8%	(.f64 (.f64 w w) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))
✓	accuracy	75.4%	(.f64 (neg.f64 (.f64 r r)) (.f64 (.f64 w w) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r))))
✓	accuracy	99.8%	(.f64 #s(literal 3/8 binary64) (.f64 r r))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	75.7%	(.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	95.2%	(.f64 (.f64 (*.f64 r w) w) r)
✓	accuracy	94.5%	(.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 r w) w) r))
✓	accuracy	94.5%	(/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))

Samples

77.0ms

256×

valid

Compiler

Compiled 375 to 42 computations (88.8% saved)

Precisions

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

ival-mult: 24.0ms (54.6% of total)

ival-div: 7.0ms (15.9% of total)

ival-sub: 7.0ms (15.9% of total)

ival-add: 4.0ms (9.1% of total)

exact: 1.0ms (2.3% of total)

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

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

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

series35.0ms (0.2%)

Memory

-13.4MiB live, 68.4MiB allocated

Counts

21 → 540

Calls

Call 1

Inputs
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* (* r w) w) r)) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* (* r w) w) r)) (- 1 v)))>
#<alt (+ 3 (/ 2 (* r r)))>
#<alt (/ 2 (* r r))>
#<alt (- (/ 2 (* r r)) 3/2)>
#<alt (* r r)>
#<alt (- (/ 2 (* r r)) (* (* w w) (* 3/8 (* r r))))>
#<alt (* (* w w) (* 3/8 (* r r)))>
#<alt (* (neg (* r r)) (* (* w w) (/ (+ (* -1/4 v) 3/8) (- 1 v))))>
#<alt (neg (* r r))>
#<alt (* (* w w) (/ (+ (* -1/4 v) 3/8) (- 1 v)))>
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (+ (* v -1/4) 3/8) (* r (* r w))) w) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* (+ (* v -1/4) 3/8) (* r (* r w))) w) (- 1 v)))>
#<alt (/ (* (+ (* -1/4 v) 3/8) (* (* (* r w) w) r)) (- 1 v))>
#<alt (* (+ (* -1/4 v) 3/8) (* (* (* r w) w) r))>
#<alt (* (* (* r w) w) r)>
#<alt (* 3/8 (* r r))>
#<alt (/ (+ (* -1/4 v) 3/8) (- 1 v))>
#<alt (/ (* (* (+ (* v -1/4) 3/8) (* r (* r w))) w) (- 1 v))>
#<alt (* (* (+ (* v -1/4) 3/8) (* r (* r w))) w)>
#<alt (* (+ (* v -1/4) 3/8) (* r (* r w)))>

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

Calls

135 calls:

Time	Variable		Point	Expression
6.0ms	v	@	0	(* (+ (* v -1/4) 3/8) (* r (* r w)))
5.0ms	v	@	0	(* (* w w) (/ (+ (* -1/4 v) 3/8) (- 1 v)))
1.0ms	w	@	0	(* (+ (* v -1/4) 3/8) (* r (* r w)))
0.0ms	v	@	inf	(* (* w w) (/ (+ (* -1/4 v) 3/8) (- 1 v)))
0.0ms	r	@	0	(* (+ (* v -1/4) 3/8) (* r (* r w)))

rewrite495.0ms (3.3%)

Memory

-18.8MiB live, 877.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 958×	`accelerator-lowering-fma.f32`
6 958×	`accelerator-lowering-fma.f64`
4 282×	`-lowering-.f32`
4 282×	`-lowering-.f64`
4 280×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	277
1	269	253
2	2575	253
0	8896	233

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 131

Calls

Call 1

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

Outputs
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r (.f64 r w)) (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.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 (.f64 r (.f64 r w)) (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) 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 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (neg.f64 (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 r (.f64 w 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 (.f64 (.f64 r r) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (neg.f64 w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (-.f64 (/.f64 (.f64 (.f64 r (.f64 r w)) (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 81/4 binary64)))))
(-.f64 (/.f64 (.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 r (.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))) (/.f64 #s(literal 81/4 binary64) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (.f64 (.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 81/4 binary64) (.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 81/4 binary64) (.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))))))
(-.f64 (/.f64 (.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v)))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))) (/.f64 #s(literal 81/4 binary64) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 r w)) (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) 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))) (fma.f64 (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))) (/.f64 (.f64 (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (.f64 (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.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))) (fma.f64 (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.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 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 r r))) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
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(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) v) (.f64 r (.f64 r w))) (.f64 #s(literal 3/8 binary64) (.f64 r (*.f64 r w))))
(fma.f64 #s(literal 3/8 binary64) (.f64 r (.f64 r w)) (.f64 (.f64 #s(literal -1/4 binary64) v) (.f64 r (.f64 r w))))
(fma.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)) (.f64 (.f64 r (.f64 r w)) (.f64 #s(literal -1/4 binary64) v)))
(fma.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) w (.f64 (.f64 r (.f64 r w)) (.f64 #s(literal -1/4 binary64) v)))
(fma.f64 (.f64 #s(literal -1/4 binary64) v) (.f64 r (.f64 r w)) (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 r w))))
(fma.f64 (.f64 r (.f64 r w)) #s(literal 3/8 binary64) (.f64 (.f64 r (.f64 r w)) (.f64 #s(literal -1/4 binary64) v)))
(fma.f64 (.f64 r (.f64 r w)) (.f64 #s(literal -1/4 binary64) v) (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))))
(fma.f64 (.f64 w #s(literal 3/8 binary64)) (.f64 r r) (.f64 (.f64 r (.f64 r w)) (.f64 #s(literal -1/4 binary64) v)))
(fma.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r (.f64 (.f64 r (.f64 r w)) (.f64 #s(literal -1/4 binary64) v)))
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(/.f64 (neg.f64 (.f64 (.f64 r (.f64 r w)) (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal -3/32 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 r (.f64 r w)) (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal -9/64 binary64)))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal -3/8 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)) (.f64 r (.f64 r w)))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) #s(literal 1/16 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal -3/32 binary64)))))
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(.f64 r (.f64 (*.f64 r w) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))
(.f64 (.f64 r r) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))
(.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 r (*.f64 r w)))
(.f64 (.f64 r w) (*.f64 r (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))
(.f64 (.f64 r (*.f64 r w)) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(.f64 (.f64 r (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 r w))
(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r r)) w)
(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) r)
(.f64 (.f64 (*.f64 r (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) w)
(.f64 (.f64 (*.f64 r (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) w) r)

simplify873.0ms (5.9%)

Memory

28.3MiB live, 986.7MiB allocated

Algorithm

1×	egg-herbie

Rules

27 284×	`accelerator-lowering-fma.f32`
27 284×	`accelerator-lowering-fma.f64`
5 324×	`-lowering-.f32`
5 324×	`-lowering-.f64`
4 572×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	10475
1	1174	9486
2	3790	8596
0	8607	8181

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

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

eval268.0ms (1.8%)

Memory: 1.4MiB live, 453.2MiB allocated
Compiler: Compiled 70 250 to 3 176 computations (95.5% saved)

prune215.0ms (1.4%)

Memory

18.5MiB live, 345.8MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 904	15	1 919
Fresh	12	10	22
Picked	4	1	5
Done	0	1	1
Total	1 920	27	1 947

Accuracy

100.0%

Counts

1 947 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.8%	(fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
	69.3%	(fma.f64 (.f64 (neg.f64 (.f64 w w)) (.f64 r #s(literal 3/8 binary64))) r (/.f64 #s(literal 2 binary64) (.f64 r r)))
	43.4%	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
	44.7%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 r (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal -9/4 binary64)))) (.f64 r (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	44.6%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 (.f64 r r) (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal -9/4 binary64)))) (.f64 (.f64 r r) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	43.0%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal 9/4 binary64)) (.f64 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 #s(literal 27/512 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal 9/4 binary64)) (.f64 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))))
	40.9%	(/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
✓	43.4%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	45.9%	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
✓	55.6%	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
▶	90.8%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) r) (.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	51.1%	(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	48.8%	(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r w))) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	87.9%	(+.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))))
▶	39.3%	(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 r (.f64 w w))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
	44.6%	(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 r w)) #s(literal -1 binary64)) (/.f64 (.f64 r w) (-.f64 #s(literal 1 binary64) v)))
	31.6%	(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (.f64 (.f64 r (.f64 r w)) (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
	61.0%	(.f64 (.f64 w w) (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) (.f64 r (.f64 w w))) (fma.f64 (.f64 #s(literal -1/8 binary64) r) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
	22.8%	(.f64 (.f64 w w) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w)))))
	35.2%	(.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)))
	30.2%	(.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
	32.5%	(.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
	36.3%	(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
▶	28.0%	(.f64 (neg.f64 (.f64 r r)) (.f64 (.f64 w w) (fma.f64 v (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))))
▶	34.4%	(.f64 (neg.f64 (.f64 r r)) (.f64 (.f64 w w) (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))))
	43.2%	(neg.f64 (.f64 r (.f64 r (fma.f64 #s(literal 3/8 binary64) (.f64 w w) (/.f64 #s(literal 3/2 binary64) (.f64 r r))))))
▶	12.8%	#s(literal -3/2 binary64)

Compiler

Compiled 1 250 to 698 computations (44.2% saved)

simplify322.0ms (2.2%)

Memory

-32.6MiB live, 501.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
✓	cost-diff	0	(.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 r (*.f64 w w)))
✓	cost-diff	0	(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 r (.f64 w w))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
✓	cost-diff	704	(/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 r (*.f64 w w))) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (.f64 w w) (fma.f64 v (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) #s(literal 3/8 binary64)))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(neg.f64 (*.f64 r r))
✓	cost-diff	128	(.f64 (neg.f64 (.f64 r r)) (.f64 (.f64 w w) (fma.f64 v (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))))
✓	cost-diff	0	(.f64 (.f64 w w) (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 3/8 binary64)))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(neg.f64 (*.f64 r r))
✓	cost-diff	128	(.f64 (neg.f64 (.f64 r r)) (.f64 (.f64 w w) (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	cost-diff	128	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) r) (.f64 r w)) (-.f64 #s(literal 1 binary64) v)))
✓	cost-diff	192	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) r) (.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
✓	cost-diff	320	(.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w))

Rules

11 080×	`accelerator-lowering-fma.f32`
11 080×	`accelerator-lowering-fma.f64`
7 476×	`-lowering-.f32`
7 476×	`-lowering-.f64`
1 784×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	365
1	143	365
2	555	350
3	2721	348
4	5765	345
0	8051	312

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize160.0ms (1.1%)

Memory

22.7MiB live, 334.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 r (-.f64 #s(literal 1 binary64) v))
✓	accuracy	95.1%	(.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 r (*.f64 w w)))
✓	accuracy	90.1%	(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 r (.f64 w w))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
✓	accuracy	86.4%	(.f64 r (.f64 w w))
✓	accuracy	100.0%	(neg.f64 (*.f64 r r))
✓	accuracy	99.9%	(fma.f64 v (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))
✓	accuracy	90.8%	(.f64 (.f64 w w) (fma.f64 v (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) #s(literal 3/8 binary64)))
✓	accuracy	75.5%	(.f64 (neg.f64 (.f64 r r)) (.f64 (.f64 w w) (fma.f64 v (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	100.0%	(neg.f64 (*.f64 r r))
✓	accuracy	87.7%	(.f64 (.f64 w w) (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 3/8 binary64)))
✓	accuracy	77.6%	(.f64 (neg.f64 (.f64 r r)) (.f64 (.f64 w w) (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))))
✓	accuracy	99.5%	(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)
✓	accuracy	99.0%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	96.3%	(.f64 (.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) r)
✓	accuracy	94.5%	(/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))

Samples

76.0ms	235×	0	valid
7.0ms	10×	2	valid
6.0ms	11×	1	valid

Compiler

Compiled 336 to 49 computations (85.4% saved)

Precisions

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

ival-mult: 35.0ms (58.9% of total)

ival-add: 10.0ms (16.8% of total)

ival-div: 7.0ms (11.8% of total)

ival-sub: 3.0ms (5% of total)

adjust: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series74.0ms (0.5%)

Memory

8.4MiB live, 46.3MiB allocated

Counts

21 → 540

Calls

Call 1

Inputs
#<alt (* 1/8 (* (+ (* v -2) 3) w))>
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (* (+ (* v -2) 3) w)) r) (* r w)) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (* (+ (* v -2) 3) w)) r) (* r w)) (- 1 v)))>
#<alt (+ 3 (/ 2 (* r r)))>
#<alt (* (neg (* r r)) (* (* w w) (+ (* v (+ (* v 1/8) 1/8)) 3/8)))>
#<alt (neg (* r r))>
#<alt (* r r)>
#<alt (* (* w w) (+ (* v (+ (* v 1/8) 1/8)) 3/8))>
#<alt (* (neg (* r r)) (* (* w w) (+ (* v (+ (* v (+ (* v 1/8) 1/8)) 1/8)) 3/8)))>
#<alt (* (* w w) (+ (* v (+ (* v (+ (* v 1/8) 1/8)) 1/8)) 3/8))>
#<alt (/ (* (+ (* -1/4 v) 3/8) (* r (* w w))) -1)>
#<alt (* (/ (* (+ (* -1/4 v) 3/8) (* r (* w w))) -1) (/ r (- 1 v)))>
#<alt (* (+ (* -1/4 v) 3/8) (* r (* w w)))>
#<alt (+ (* -1/4 v) 3/8)>
#<alt (/ (* (* (* 1/8 (* (+ (* v -2) 3) w)) r) (* r w)) (- 1 v))>
#<alt (* (* 1/8 (* (+ (* v -2) 3) w)) r)>
#<alt (/ 2 (* r r))>
#<alt (* (+ (* v -2) 3) w)>
#<alt (+ (* v (+ (* v (+ (* v 1/8) 1/8)) 1/8)) 3/8)>
#<alt (* r (* w w))>
#<alt (/ r (- 1 v))>

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

Calls

135 calls:

Time	Variable		Point	Expression
36.0ms	r	@	inf	(* (neg (* r r)) (* (* w w) (+ (* v (+ (* v 1/8) 1/8)) 3/8)))
1.0ms	r	@	0	(* (neg (* r r)) (* (* w w) (+ (* v (+ (* v 1/8) 1/8)) 3/8)))
1.0ms	r	@	0	(* (neg (* r r)) (* (* w w) (+ (* v (+ (* v (+ (* v 1/8) 1/8)) 1/8)) 3/8)))
1.0ms	w	@	0	(* (neg (* r r)) (* (* w w) (+ (* v (+ (* v 1/8) 1/8)) 3/8)))
1.0ms	w	@	0	(* (neg (* r r)) (* (* w w) (+ (* v (+ (* v (+ (* v 1/8) 1/8)) 1/8)) 3/8)))

rewrite421.0ms (2.8%)

Memory

0.1MiB live, 632.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 366×	`-lowering-.f32`
6 366×	`-lowering-.f64`
3 820×	`accelerator-lowering-fma.f32`
3 820×	`accelerator-lowering-fma.f64`
3 592×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	262
1	289	260
2	2686	256
0	8442	229

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 576

Calls

Call 1

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

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

simplify640.0ms (4.3%)

Memory

-8.7MiB live, 871.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 990×	`accelerator-lowering-fma.f32`
17 990×	`accelerator-lowering-fma.f64`
6 778×	`-lowering-.f32`
6 778×	`-lowering-.f64`
2 740×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	513	8822
1	1783	8261
2	6853	8255
0	8144	7633

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

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

eval149.0ms (1%)

Memory: 37.5MiB live, 378.6MiB allocated
Compiler: Compiled 36 798 to 2 548 computations (93.1% saved)

prune251.0ms (1.7%)

Memory

-34.4MiB live, 340.7MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1 164	9	1 173
Fresh	5	15	20
Picked	3	2	5
Done	0	2	2
Total	1 172	28	1 200

Accuracy

100.0%

Counts

1 200 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.8%	(fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
	43.4%	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
	44.7%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) r) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 r (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal -9/4 binary64)))) (.f64 r (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	44.6%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))) (.f64 (.f64 r r) (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal -9/4 binary64)))) (.f64 (.f64 r r) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	43.0%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal 9/4 binary64)) (.f64 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 #s(literal 27/512 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w)))) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 (.f64 r r) (.f64 w w)) (.f64 (.f64 r r) (.f64 w w))) #s(literal 9/4 binary64)) (.f64 (.f64 w w) (.f64 (.f64 (.f64 r r) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))))
✓	43.4%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
	45.9%	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
✓	55.6%	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
	51.1%	(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	51.8%	(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	87.9%	(+.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))))
	44.5%	(.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 w (*.f64 w r)) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
	42.3%	(.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (neg.f64 (.f64 (.f64 w r) (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))))
	42.3%	(.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (neg.f64 (.f64 w (.f64 w r)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
	35.0%	(.f64 (.f64 (.f64 w (.f64 w (fma.f64 v (fma.f64 #s(literal 1/8 binary64) v #s(literal 1/8 binary64)) #s(literal 3/8 binary64)))) (neg.f64 r)) r)
	35.9%	(.f64 (.f64 (neg.f64 (.f64 r r)) w) (.f64 w (fma.f64 v (fma.f64 #s(literal 1/8 binary64) v #s(literal 1/8 binary64)) #s(literal 3/8 binary64))))
	23.2%	(.f64 (.f64 w (.f64 w (.f64 r r))) (.f64 #s(literal -1/8 binary64) (.f64 v v)))
	61.0%	(.f64 (.f64 w w) (fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) (.f64 r (.f64 w w))) (fma.f64 (.f64 #s(literal -1/8 binary64) r) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
	22.8%	(.f64 (.f64 w w) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (*.f64 w w)))))
	35.2%	(.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -3/8 binary64)))
	30.2%	(.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
	32.5%	(.f64 (.f64 r (.f64 r (.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
	36.3%	(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/4 binary64)))
	29.1%	(.f64 (.f64 #s(literal 1/4 binary64) (.f64 v (.f64 r (*.f64 w w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
✓	28.0%	(.f64 (neg.f64 (.f64 r r)) (.f64 (.f64 w w) (fma.f64 v (fma.f64 v (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))))
	43.1%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (.f64 (.f64 w r) (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))))
	43.2%	(neg.f64 (.f64 r (.f64 r (fma.f64 #s(literal 3/8 binary64) (.f64 w w) (/.f64 #s(literal 3/2 binary64) (.f64 r r))))))
✓	12.8%	#s(literal -3/2 binary64)

Compiler

Compiled 1 998 to 642 computations (67.9% saved)

regimes180.0ms (1.2%)

Memory

12.1MiB live, 278.4MiB allocated

Counts

65 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

51.0ms	w
40.0ms	r
25.0ms	v
25.0ms	(-.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))
18.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
95.8%	2	`v`
96.9%	3	`w`
96.2%	2	`r`
95.8%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
95.8%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
96.9%	3	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes20.0ms (0.1%)

Memory

4.0MiB live, 41.7MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
96.2%	2	`r`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes96.0ms (0.6%)

Memory

7.8MiB live, 219.9MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

21.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
16.0ms	w
15.0ms	v
15.0ms	r
14.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
96.9%	3	`w`
96.9%	3	`(*.f64 w w)`
96.1%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
96.1%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
95.0%	2	`v`
95.2%	2	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes33.0ms (0.2%)

Memory

3.2MiB live, 84.8MiB allocated

Counts

47 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	w
14.0ms	(*.f64 w w)

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes269.0ms (1.8%)

Memory

-15.5MiB live, 139.4MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

227.0ms	v
14.0ms	w
14.0ms	r
12.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
91.0%	3	`v`
95.0%	2	`r`
94.3%	3	`w`
94.3%	3	`(*.f64 w w)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes32.0ms (0.2%)

Memory

15.2MiB live, 92.1MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))

Calls

3 calls:

11.0ms

10.0ms

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

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
93.7%	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))`
93.7%	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)))`
93.5%	2	`r`

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes78.0ms (0.5%)

Memory

-23.3MiB live, 57.7MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

59.0ms

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)))

8.0ms

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

Results

Accuracy	Segments	Branch
93.2%	2	`r`
94.4%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
94.4%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes45.0ms (0.3%)

Memory

16.2MiB live, 93.3MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

(+.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

5 calls:

10.0ms	w
9.0ms	r
9.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
8.0ms	(*.f64 w w)
7.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
92.0%	2	`w`
92.0%	2	`(*.f64 w w)`
92.9%	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))`
92.9%	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)))`
91.7%	2	`r`

Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes19.0ms (0.1%)

Memory

5.8MiB live, 43.9MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	(*.f64 w w)
8.0ms	w

Results

Accuracy	Segments	Branch
92.0%	2	`w`
92.0%	2	`(*.f64 w w)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes43.0ms (0.3%)

Memory

0.3MiB live, 88.0MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

(+.f64 #s(literal -3/2 binary64) (/.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))))

Calls

5 calls:

12.0ms	(*.f64 w w)
9.0ms	r
8.0ms	w
6.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
6.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
90.9%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
90.9%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
87.9%	1	`r`
90.9%	2	`w`
90.9%	2	`(*.f64 w w)`

Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes30.0ms (0.2%)

Memory

0.4MiB live, 76.0MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	w
8.0ms	(*.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	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.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
90.1%	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))`
90.1%	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)))`
87.9%	2	`w`
87.9%	2	`(*.f64 w w)`

Compiler

Compiled 72 to 49 computations (31.9% saved)

regimes51.0ms (0.3%)

Memory

1.6MiB live, 78.4MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	(*.f64 w w)
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)))
6.0ms	w
5.0ms	v
5.0ms	r

Results

Accuracy	Segments	Branch
67.0%	2	`w`
67.0%	2	`(*.f64 w w)`
74.7%	2	`r`
57.6%	2	`v`
87.6%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
87.6%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory

-18.0MiB live, 16.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
86.5%	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))`
86.5%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes16.0ms (0.1%)

Memory

7.1MiB live, 44.9MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#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) (*.f64 r r)) #s(literal 3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))

Outputs
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
55.6%	1	`v`
55.6%	1	`(*.f64 w w)`
55.6%	1	`w`
55.6%	1	`r`
55.6%	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))`
55.6%	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)

regimes15.0ms (0.1%)

Memory

-8.5MiB live, 32.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))

Outputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal -3/2 binary64)

Calls

6 calls:

6.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
2.0ms	w
2.0ms	v
2.0ms	r
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
53.0%	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))`
53.0%	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)))`
43.4%	1	`v`
46.2%	2	`w`
43.4%	1	`(*.f64 w w)`
54.7%	2	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -3/2 binary64)

Outputs
#s(literal -3/2 binary64)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
12.8%	1	`v`
12.8%	1	`(*.f64 w w)`
12.8%	1	`w`
12.8%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
12.8%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
12.8%	1	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch20.0ms (0.1%)

Memory

11.7MiB live, 49.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.8316408775551145e-114	9.451928059351395e-113

Samples

13.0ms

112×

valid

Compiler

Compiled 399 to 273 computations (31.6% saved)

Precisions

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

ival-mult: 4.0ms (40% of total)

ival-div: 2.0ms (20% of total)

ival-sub: 2.0ms (20% of total)

ival-add: 2.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

-10.2MiB live, 26.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	3.8316408775551145e-114	9.451928059351395e-113

Samples

7.0ms

48×

valid

Compiler

Compiled 185 to 130 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (49.3% of total)

ival-mult: 2.0ms (32.8% of total)

ival-div: 1.0ms (16.4% 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)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.119916802968732e+136	3.110346440743612e+140
0.0ms	1.042e-321	2.915e-321

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.119916802968732e+136	3.110346440743612e+140

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch27.0ms (0.2%)

Memory

-13.7MiB live, 64.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	197.32005618833816	2528478.1744127525

Samples

15.0ms

128×

valid

Compiler

Compiled 387 to 276 computations (28.7% saved)

Precisions

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

ival-mult: 6.0ms (53.5% of total)

ival-div: 2.0ms (17.8% of total)

ival-sub: 2.0ms (17.8% of total)

ival-add: 1.0ms (8.9% 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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3129463.6760906656	3.0

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch22.0ms (0.2%)

Memory

20.1MiB live, 56.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.6106417770477776e+150	2.293697916129449e+154

Samples

15.0ms

128×

valid

Compiler

Compiled 363 to 252 computations (30.6% saved)

Precisions

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

ival-mult: 5.0ms (43.1% of total)

ival-sub: 4.0ms (34.5% of total)

ival-div: 2.0ms (17.2% of total)

ival-add: 1.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0621443150195726e-84	8.838012196275267e-77

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0621443150195726e-84	8.838012196275267e-77

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.697041656865583e-276	2.943013075537923e-259

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3129463.6760906656	3.0

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3129463.6760906656	3.0

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3129463.6760906656	3.0

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch22.0ms (0.1%)

Memory

-18.0MiB live, 53.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.032367553684979504	0.20440502494245266

Samples

17.0ms

96×

valid

Compiler

Compiled 119 to 100 computations (16% saved)

Precisions

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

ival-mult: 7.0ms (50% of total)

ival-sub: 5.0ms (35.7% of total)

ival-div: 1.0ms (7.1% of total)

ival-add: 1.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify47.0ms (0.3%)

Memory

-3.7MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Rules

400×	`unsub-neg_binary64`
264×	`neg-mul-1_binary64`
162×	`*-commutative_binary64`
158×	`distribute-neg-out_binary64`
130×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	615
1	212	615
2	320	615
3	434	613
4	535	613
5	603	613
6	649	613
7	858	613
8	1082	613
9	1092	613

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 r #s(literal 3725774901474845/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) (.f64 (.f64 r (*.f64 r w)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64)))
(if (<=.f64 r #s(literal 4332296397063773/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) (/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(if (<=.f64 (.f64 w w) #s(literal 405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (if (<=.f64 (.f64 w w) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 w w))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(if (<=.f64 (.f64 w w) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 w w))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))
(if (<=.f64 r #s(literal 22000 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))) (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000 binary64)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (.f64 (.f64 w (.f64 w r)) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 r #s(literal 1899999999999999832029823630126164532661318798928784988864126854888221302237263255959255561845796066688553735314529043839060950695117761531880514900721664 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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (neg.f64 (.f64 w (.f64 w r)))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(if (<=.f64 (.f64 w w) #s(literal 546812681195753/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w w) (.f64 r #s(literal 3/8 binary64))) r #s(literal 3/2 binary64))) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (.f64 w w) #s(literal 546812681195753/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 r (.f64 w w)) #s(literal 3/2 binary64))) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (.f64 w w) #s(literal 6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) (+.f64 #s(literal -3/2 binary64) (/.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)))))
(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 -2000000 binary64)) (fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
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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 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000 binary64)) (.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (+.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)))
(if (<=.f64 r #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)

Outputs
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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 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000 binary64)) (.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 r (.f64 r (.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -2000000 binary64)) (.f64 (.f64 r r) (.f64 #s(literal -3/8 binary64) (.f64 w w))) (+.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))
(if (<=.f64 r #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)

soundness2.1s (14.1%)

Memory

6.4MiB live, 1 734.0MiB allocated

Rules

27 284×	`accelerator-lowering-fma.f32`
27 284×	`accelerator-lowering-fma.f64`
19 832×	`accelerator-lowering-fma.f32`
19 832×	`accelerator-lowering-fma.f64`
14 382×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	277
1	269	253
2	2575	253
0	8896	233
0	22	114
1	135	104
2	1339	104
0	8951	94
0	620	12367
1	2078	11474
2	7214	11474
0	8517	10820
0	54	359
1	356	331
2	3864	331
0	9980	303
0	352	10475
1	1174	9486
2	3790	8596
0	8607	8181
0	46	262
1	289	260
2	2686	256
0	8442	229
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 766 to 912 computations (48.4% saved)

preprocess136.0ms (0.9%)

Memory

-0.2MiB live, 230.6MiB allocated

Remove

(abs r)

(abs w)

Compiler

Compiled 1 944 to 590 computations (69.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze118.0ms (0.8%)

sample1.8s (12.3%)

preprocess726.0ms (4.9%)

explain357.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify463.0ms (3.1%)

localize60.0ms (0.4%)

series26.0ms (0.2%)

rewrite404.0ms (2.7%)

simplify479.0ms (3.2%)

eval85.0ms (0.6%)

prune117.0ms (0.8%)

simplify288.0ms (1.9%)

localize188.0ms (1.3%)

series48.0ms (0.3%)

rewrite420.0ms (2.8%)

simplify873.0ms (5.9%)

eval474.0ms (3.2%)

prune228.0ms (1.5%)

simplify280.0ms (1.9%)

localize159.0ms (1.1%)

series35.0ms (0.2%)

rewrite495.0ms (3.3%)

simplify873.0ms (5.9%)

eval268.0ms (1.8%)

prune215.0ms (1.4%)

simplify322.0ms (2.2%)

localize160.0ms (1.1%)

series74.0ms (0.5%)

rewrite421.0ms (2.8%)

simplify640.0ms (4.3%)

eval149.0ms (1%)

prune251.0ms (1.7%)

regimes180.0ms (1.2%)

regimes20.0ms (0.1%)

regimes96.0ms (0.6%)

regimes33.0ms (0.2%)

regimes269.0ms (1.8%)

regimes32.0ms (0.2%)

regimes78.0ms (0.5%)

regimes45.0ms (0.3%)

regimes19.0ms (0.1%)

regimes43.0ms (0.3%)

regimes30.0ms (0.2%)

regimes51.0ms (0.3%)

regimes8.0ms (0.1%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch20.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch22.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.1%)

simplify47.0ms (0.3%)

soundness2.1s (14.1%)

preprocess136.0ms (0.9%)

end0.0ms (0%)

Profiling