Details

analyze869.0ms (6.4%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	99.9%	0.1%	0%	0%	0%	8
0%	0%	96.7%	0.1%	3.1%	0%	0%	9
12.6%	11.7%	81.1%	0.1%	7%	0%	0%	10
16.9%	15.2%	74.9%	0.1%	9.8%	0%	0%	11
23.2%	20.3%	67.1%	0.1%	12.5%	0%	0%	12

Compiler

Compiled 33 to 25 computations (24.2% saved)

sample2.7s (19.5%)

Results

1.4s	8256×	body	256	valid
1.3s	7079×	body	256	infinite

Bogosity

preprocess60.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

570×	`cancel-sign-sub-inv_binary64`
513×	`associate-/l*_binary64`
453×	`distribute-rgt-neg-in_binary64`
435×	`distribute-lft-neg-in_binary64`
396×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	172
1	169	172
2	578	148
3	2275	140
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

634×	`associate-/r/_binary64`
628×	`fma-neg_binary64`
612×	`distribute-rgt-neg-in_binary64`
561×	`distribute-lft-neg-in_binary64`
464×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	43
1	59	43
2	169	37
3	693	35
4	3742	33

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 55 to 38 computations (30.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

4.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.0b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
▶	11.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)

Status

Error

Program

▶

11.0b

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

▶

11.3b

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

Compiler

Compiled 58 to 42 computations (27.6% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
✓	5.9b	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
✓	6.0b	(.f64 (.f64 (*.f64 w w) r) r)
✓	8.3b	(.f64 (.f64 w w) r)

Compiler

Compiled 149 to 81 computations (45.6% saved)

series49.0ms (0.4%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
30.0ms	w	@	inf	(.f64 (.f64 (*.f64 w w) r) r)
2.0ms	v	@	0	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
1.0ms	v	@	0	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
1.0ms	w	@	0	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
1.0ms	r	@	0	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

325×	`pow1/3_binary64`
315×	`expm1-udef_binary64`
314×	`log1p-udef_binary64`
294×	`pow3_binary64`
280×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	372	58
2	4968	54

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

Inputs
(.f64 (.f64 w w) r)
(.f64 (.f64 (*.f64 w w) r) r)
(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 w (.f64 w r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 w (.f64 w r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 w (.f64 w r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 w (.f64 w r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 w (sqrt.f64 r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 w w) 3) (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 r 3) (pow.f64 (.f64 w w) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 w 4) (.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 w) w) r))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 w (.f64 w r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 w (.f64 w r)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 w w) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 r 3) (pow.f64 (.f64 w w) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 w (.f64 w r))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 w (.f64 w r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 w (.f64 w r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 w (.f64 w r))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 w r) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 w r) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 w r) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 w r) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 w r) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 r 3) (pow.f64 (.f64 w (.f64 w r)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 w (.f64 w r)) 3) (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (.f64 w r) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 w r) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 w r) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 r 3) (pow.f64 (.f64 w (.f64 w r)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 w (.f64 w r)) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 w r) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 w r) 2) (.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (/.f64 (.f64 (pow.f64 (.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (.f64 (pow.f64 (.f64 w r) 2) (fma.f64 v -2 3)) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (.f64 w r) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/8 (fma.f64 v -2 3)) (.f64 (pow.f64 (.f64 w r) 2) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (pow.f64 (.f64 w r) 2) 1/8) (fma.f64 v -2 3)) (/.f64 1 (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2)) 2)) (cbrt.f64 (.f64 (/.f64 (.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 w r) 2) 1/8) (fma.f64 v -2 3)) 2)) (.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 w r) 2) 1/8) (fma.f64 v -2 3))) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (.f64 w r) (sqrt.f64 (.f64 1/8 (fma.f64 v -2 3)))) (sqrt.f64 (-.f64 1 v))) (/.f64 (.f64 (.f64 w r) (sqrt.f64 (.f64 1/8 (fma.f64 v -2 3)))) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 w r) (sqrt.f64 (.f64 1/8 (fma.f64 v -2 3)))) (.f64 (.f64 (.f64 w r) (sqrt.f64 (.f64 1/8 (fma.f64 v -2 3)))) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/8 (.f64 (pow.f64 (.f64 w r) 2) (fma.f64 v -2 3))) (/.f64 1 (neg.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 v)) (.f64 (.f64 (pow.f64 (.f64 w r) 2) 1/8) (fma.f64 v -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3))) (.f64 r (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 w r) 2) 1) (/.f64 (.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2))))) (#(struct:change #<rule egg-rr> (2) 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simplify215.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

969×	`div-sub_binary64`
652×	`times-frac_binary64`
641×	`associate-r_binary64`
582×	`associate-/l*_binary64`
511×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	2603
1	263	2230
2	1120	1930
3	7410	1930

Stop Event

1×	node limit

Counts

226 → 136

Calls

Call 1

Inputs
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (+.f64 (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 (pow.f64 v 3) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2)))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v))))
(+.f64 (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
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(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
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(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
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(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
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(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))

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

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (-.f64 1 v) r) r)
✓	0.9b	(/.f64 2 (*.f64 r r))
✓	2.8b	(*.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w)
✓	9.0b	(/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r))

Compiler

Compiled 98 to 59 computations (39.8% saved)

series12.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	w	@	0	(/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r))
1.0ms	r	@	0	(/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r))
1.0ms	w	@	inf	(/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r))
1.0ms	v	@	inf	(/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r))
1.0ms	v	@	inf	(*.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w)

rewrite171.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`log-prod_binary64`
309×	`log-div_binary64`
271×	`prod-diff_binary64`
254×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	292	45
2	4217	45

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

Inputs
(/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r))
(*.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w)
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 (-.f64 1 v) r) r)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r)))) (cbrt.f64 (exp.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 w (.f64 r (/.f64 r (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (.f64 w (/.f64 r (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 w) 2) (.f64 (cbrt.f64 w) (.f64 r (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r))) (pow.f64 (cbrt.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r))) 2) (cbrt.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 w) (.f64 (sqrt.f64 w) (.f64 r (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 w) (/.f64 (sqrt.f64 (-.f64 1 v)) r)) (/.f64 (sqrt.f64 w) (/.f64 (sqrt.f64 (-.f64 1 v)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 w) (/.f64 1 (/.f64 (neg.f64 (/.f64 (-.f64 1 v) r)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (/.f64 r (-.f64 1 v))) w)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (-.f64 1 v)) (/.f64 w (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 w (/.f64 r (-.f64 1 v))) r)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 w) 2) 1) (/.f64 (cbrt.f64 w) (.f64 (-.f64 1 v) (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 w) 1) (/.f64 (sqrt.f64 w) (.f64 (-.f64 1 v) (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 w) 2) (/.f64 (-.f64 1 v) r)) (/.f64 (cbrt.f64 w) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 w) (/.f64 (-.f64 1 v) r)) (/.f64 (sqrt.f64 w) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 v) 2) (pow.f64 r 4)))) (/.f64 w (cbrt.f64 (.f64 (-.f64 1 v) (pow.f64 r -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 w) 2) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 v) 2) (pow.f64 r 4)))) (cbrt.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) r))))))) 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egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (-.f64 1 v) (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 v) (pow.f64 r -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 1 v) (pow.f64 r -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 v) 3) (pow.f64 (.f64 r r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 v) r) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 1 v) (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 1 v) (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 1 v) (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 v) (pow.f64 r -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 r -2) (neg.f64 (/.f64 v (.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 r -2) (neg.f64 (/.f64 (/.f64 v r) r)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (pow.f64 r -2)) (cbrt.f64 (pow.f64 r -2))) (cbrt.f64 (pow.f64 r -2)) (neg.f64 (/.f64 v (.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (pow.f64 r -2)) (cbrt.f64 (pow.f64 r -2))) (cbrt.f64 (pow.f64 r -2)) (neg.f64 (/.f64 (/.f64 v r) r)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 r -2)) (sqrt.f64 (pow.f64 r -2)) (neg.f64 (/.f64 v (.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 r -2)) (sqrt.f64 (pow.f64 r -2)) (neg.f64 (/.f64 (/.f64 v r) r)))))))

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

630×	`unswap-sqr_binary64`
601×	`fma-def_binary64`
397×	`times-frac_binary64`
302×	`associate-l_binary64`
291×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	2007
1	218	1786
2	831	1617
3	4846	1593

Stop Event

1×	node limit

Counts

265 → 202

Calls

Call 1

Inputs
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(*.f64 w (pow.f64 r 2))
(+.f64 (.f64 v (.f64 w (pow.f64 r 2))) (*.f64 w (pow.f64 r 2)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 w (pow.f64 r 2))) (+.f64 (.f64 v (.f64 w (pow.f64 r 2))) (*.f64 w (pow.f64 r 2))))
(+.f64 (.f64 (pow.f64 v 3) (.f64 w (pow.f64 r 2))) (+.f64 (.f64 (pow.f64 v 2) (.f64 w (pow.f64 r 2))) (+.f64 (.f64 v (.f64 w (pow.f64 r 2))) (*.f64 w (pow.f64 r 2)))))
(.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 4))) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2))))))
(.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 4))) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2))))))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(+.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))))))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 1 (pow.f64 r 2))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(*.f64 -1 (/.f64 v (pow.f64 r 2)))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(*.f64 -1 (/.f64 v (pow.f64 r 2)))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(/.f64 (-.f64 1 v) (pow.f64 r 2))

Outputs
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(+.f64 (.f64 v (.f64 w (pow.f64 r 2))) (*.f64 w (pow.f64 r 2)))
(.f64 (+.f64 v 1) (.f64 w (*.f64 r r)))
(.f64 (.f64 r r) (+.f64 w (*.f64 w v)))
(.f64 (.f64 r r) (fma.f64 w v w))
(.f64 r (.f64 r (fma.f64 w v w)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 w (pow.f64 r 2))) (+.f64 (.f64 v (.f64 w (pow.f64 r 2))) (*.f64 w (pow.f64 r 2))))
(fma.f64 (.f64 v v) (.f64 w (.f64 r r)) (.f64 (+.f64 v 1) (.f64 w (.f64 r r))))
(.f64 (.f64 w (.f64 r r)) (+.f64 (+.f64 1 v) (.f64 v v)))
(.f64 w (.f64 (*.f64 r r) (+.f64 1 (fma.f64 v v v))))
(.f64 (.f64 w (*.f64 r r)) (+.f64 1 (fma.f64 v v v)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 w (pow.f64 r 2))) (+.f64 (.f64 (pow.f64 v 2) (.f64 w (pow.f64 r 2))) (+.f64 (.f64 v (.f64 w (pow.f64 r 2))) (*.f64 w (pow.f64 r 2)))))
(fma.f64 (pow.f64 v 3) (.f64 w (.f64 r r)) (fma.f64 (.f64 v v) (.f64 w (.f64 r r)) (.f64 (+.f64 v 1) (.f64 w (.f64 r r)))))
(fma.f64 (.f64 w (.f64 r r)) (pow.f64 v 3) (.f64 (.f64 w (.f64 r r)) (+.f64 (+.f64 1 v) (.f64 v v))))
(.f64 (.f64 w (*.f64 r r)) (+.f64 (+.f64 1 (fma.f64 v v v)) (pow.f64 v 3)))
(.f64 (.f64 r r) (*.f64 (fma.f64 v v 1) (fma.f64 w v w)))
(.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v))
(neg.f64 (/.f64 w (/.f64 v (*.f64 r r))))
(/.f64 (neg.f64 (.f64 w (.f64 r r))) v)
(.f64 (/.f64 w v) (neg.f64 (.f64 r r)))
(.f64 (.f64 r r) (/.f64 (neg.f64 w) v))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2))))
(.f64 -1 (+.f64 (/.f64 w (/.f64 v (.f64 r r))) (/.f64 (.f64 w (.f64 r r)) (*.f64 v v))))
(-.f64 (/.f64 (neg.f64 w) (.f64 (/.f64 v r) (/.f64 v r))) (.f64 (/.f64 w v) (*.f64 r r)))
(.f64 (.f64 (*.f64 r r) (/.f64 w v)) (+.f64 -1 (/.f64 -1 v)))
(.f64 (/.f64 (.f64 r r) v) (-.f64 (/.f64 (neg.f64 w) v) w))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2)))))
(fma.f64 -1 (/.f64 w (/.f64 v (.f64 r r))) (.f64 -1 (+.f64 (/.f64 (.f64 w (.f64 r r)) (pow.f64 v 3)) (/.f64 (.f64 w (.f64 r r)) (*.f64 v v)))))
(-.f64 (-.f64 (/.f64 (neg.f64 w) (.f64 (/.f64 v r) (/.f64 v r))) (.f64 (/.f64 w (pow.f64 v 3)) (.f64 r r))) (.f64 (/.f64 w v) (*.f64 r r)))
(-.f64 (.f64 (.f64 (/.f64 w v) (/.f64 r (/.f64 v r))) (+.f64 -1 (/.f64 -1 v))) (.f64 (.f64 r r) (/.f64 w v)))
(-.f64 (.f64 (.f64 (/.f64 r v) (/.f64 r v)) (-.f64 (/.f64 (neg.f64 w) v) w)) (.f64 (.f64 r r) (/.f64 w v)))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 4))) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2))))))
(fma.f64 -1 (/.f64 (.f64 w (.f64 r r)) (pow.f64 v 4)) (fma.f64 -1 (/.f64 w (/.f64 v (.f64 r r))) (.f64 -1 (+.f64 (/.f64 (.f64 w (.f64 r r)) (pow.f64 v 3)) (/.f64 (.f64 w (.f64 r r)) (*.f64 v v))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 w) (.f64 (/.f64 v r) (/.f64 v r))) (.f64 (/.f64 w (pow.f64 v 3)) (.f64 r r))) (.f64 (/.f64 w v) (.f64 r r))) (.f64 (/.f64 w (pow.f64 v 4)) (*.f64 r r)))
(-.f64 (.f64 (.f64 (/.f64 w v) (/.f64 r (/.f64 v r))) (+.f64 -1 (/.f64 -1 v))) (.f64 (.f64 r r) (+.f64 (/.f64 w (pow.f64 v 4)) (/.f64 w v))))
(-.f64 (.f64 (.f64 (/.f64 r v) (/.f64 r v)) (-.f64 (/.f64 (neg.f64 w) v) w)) (.f64 (.f64 r r) (+.f64 (/.f64 w (pow.f64 v 4)) (/.f64 w v))))
(.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v))
(neg.f64 (/.f64 w (/.f64 v (*.f64 r r))))
(/.f64 (neg.f64 (.f64 w (.f64 r r))) v)
(.f64 (/.f64 w v) (neg.f64 (.f64 r r)))
(.f64 (.f64 r r) (/.f64 (neg.f64 w) v))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2))))
(.f64 -1 (+.f64 (/.f64 w (/.f64 v (.f64 r r))) (/.f64 (.f64 w (.f64 r r)) (*.f64 v v))))
(-.f64 (/.f64 (neg.f64 w) (.f64 (/.f64 v r) (/.f64 v r))) (.f64 (/.f64 w v) (*.f64 r r)))
(.f64 (.f64 (*.f64 r r) (/.f64 w v)) (+.f64 -1 (/.f64 -1 v)))
(.f64 (/.f64 (.f64 r r) v) (-.f64 (/.f64 (neg.f64 w) v) w))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2)))))
(fma.f64 -1 (/.f64 w (/.f64 v (.f64 r r))) (.f64 -1 (+.f64 (/.f64 (.f64 w (.f64 r r)) (pow.f64 v 3)) (/.f64 (.f64 w (.f64 r r)) (*.f64 v v)))))
(-.f64 (-.f64 (/.f64 (neg.f64 w) (.f64 (/.f64 v r) (/.f64 v r))) (.f64 (/.f64 w (pow.f64 v 3)) (.f64 r r))) (.f64 (/.f64 w v) (*.f64 r r)))
(-.f64 (.f64 (.f64 (/.f64 w v) (/.f64 r (/.f64 v r))) (+.f64 -1 (/.f64 -1 v))) (.f64 (.f64 r r) (/.f64 w v)))
(-.f64 (.f64 (.f64 (/.f64 r v) (/.f64 r v)) (-.f64 (/.f64 (neg.f64 w) v) w)) (.f64 (.f64 r r) (/.f64 w v)))
(+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 4))) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 w (pow.f64 r 2)) (pow.f64 v 2))))))
(fma.f64 -1 (/.f64 (.f64 w (.f64 r r)) (pow.f64 v 4)) (fma.f64 -1 (/.f64 w (/.f64 v (.f64 r r))) (.f64 -1 (+.f64 (/.f64 (.f64 w (.f64 r r)) (pow.f64 v 3)) (/.f64 (.f64 w (.f64 r r)) (*.f64 v v))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 w) (.f64 (/.f64 v r) (/.f64 v r))) (.f64 (/.f64 w (pow.f64 v 3)) (.f64 r r))) (.f64 (/.f64 w v) (.f64 r r))) (.f64 (/.f64 w (pow.f64 v 4)) (*.f64 r r)))
(-.f64 (.f64 (.f64 (/.f64 w v) (/.f64 r (/.f64 v r))) (+.f64 -1 (/.f64 -1 v))) (.f64 (.f64 r r) (+.f64 (/.f64 w (pow.f64 v 4)) (/.f64 w v))))
(-.f64 (.f64 (.f64 (/.f64 r v) (/.f64 r v)) (-.f64 (/.f64 (neg.f64 w) v) w)) (.f64 (.f64 r r) (+.f64 (/.f64 w (pow.f64 v 4)) (/.f64 w v))))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
(.f64 (.f64 r r) (/.f64 w (-.f64 1 v)))
(/.f64 (*.f64 w (pow.f64 r 2)) (-.f64 1 v))
(/.f64 w (/.f64 (-.f64 1 v) (*.f64 r r)))
(.f64 (/.f64 w (-.f64 1 v)) (.f64 r r))
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(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 1 (pow.f64 r 2))
(/.f64 1 (*.f64 r r))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(*.f64 -1 (/.f64 v (pow.f64 r 2)))
(neg.f64 (/.f64 v (*.f64 r r)))
(/.f64 (neg.f64 v) (*.f64 r r))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(*.f64 -1 (/.f64 v (pow.f64 r 2)))
(neg.f64 (/.f64 v (*.f64 r r)))
(/.f64 (neg.f64 v) (*.f64 r r))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(+.f64 (/.f64 1 (pow.f64 r 2)) (*.f64 -1 (/.f64 v (pow.f64 r 2))))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))
(/.f64 (-.f64 1 v) (pow.f64 r 2))
(+.f64 (/.f64 1 (.f64 r r)) (neg.f64 (/.f64 v (.f64 r r))))
(/.f64 (-.f64 1 v) (*.f64 r r))

eval235.0ms (1.7%)

Compiler: Compiled 10387 to 6993 computations (32.7% saved)

prune214.0ms (1.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	321	17	338
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	322	18	340

Error

0.0b

Counts

340 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	18.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
✓	11.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
	6.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (pow.f64 (*.f64 w r) 2)) (-.f64 1 v))) 9/2)
	6.9b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (pow.f64 (cbrt.f64 (.f64 w (*.f64 w r))) 3) r)) (-.f64 1 v))) 9/2)
▶	6.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
	15.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (.f64 w r) (.f64 w r)) 3/2))
	2.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (.f64 (.f64 w (/.f64 r (-.f64 1 v))) r) w) 3/2))
▶	3.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	15.2b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) (.f64 w (.f64 w (*.f64 r r))))) 9/2)
	7.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 w r) 2) 1/8) (fma.f64 v -2 3)) (-.f64 1 (.f64 v v))) (+.f64 v 1))) 9/2)
	23.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
	25.2b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (neg.f64 v) (*.f64 r r))) w) 3/2))
▶	11.0b	(-.f64 (.f64 (/.f64 2 r) (/.f64 1 r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
	10.9b	(-.f64 (.f64 (pow.f64 r -2) 2) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
▶	21.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
	6.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 (fma.f64 v -1/4 3/8) (.f64 w r)) (*.f64 w r)) (-.f64 1 v))) 9/2)
	20.9b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
▶	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (.f64 w r) 2))))) 9/2)

Compiler

Compiled 998 to 724 computations (27.5% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 w r) 2)
✓	0.4b	(/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2)))
	0.9b	(/.f64 2 (*.f64 r r))
✓	4.0b	(.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))

Compiler

Compiled 140 to 92 computations (34.3% saved)

series15.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	w	@	0	(.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))
1.0ms	r	@	0	(.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))
1.0ms	v	@	inf	(.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))
1.0ms	w	@	inf	(.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))
1.0ms	r	@	inf	(.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`log-prod_binary64`
297×	`expm1-udef_binary64`
296×	`log1p-udef_binary64`
247×	`prod-diff_binary64`
245×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	371	43
2	4649	43

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs
(.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))
(/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2)))
(pow.f64 (*.f64 w r) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))) (cbrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (/.f64 (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2)) (fma.f64 v -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 v -2 3) (/.f64 (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/8 (fma.f64 v -2 3)) (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2)) (*.f64 1/8 (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 v -2 3) 2) 1/64)) (/.f64 (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2)) (cbrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3))) (/.f64 (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2)) (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/8 (fma.f64 v -2 3))) (*.f64 (-.f64 1 v) (neg.f64 (pow.f64 (*.f64 w r) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/8 (fma.f64 v -2 3)) (/.f64 (sqrt.f64 (-.f64 1 v)) (*.f64 w r))) (/.f64 (sqrt.f64 (-.f64 1 v)) (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/8 (fma.f64 v -2 3)) 1) (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)) (pow.f64 (*.f64 w r) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/8 (fma.f64 v -2 3)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 v) 2) (pow.f64 (*.f64 w r) 4)))) (cbrt.f64 (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 1/8 (fma.f64 v -2 3))) (*.f64 (-.f64 1 v) (neg.f64 (pow.f64 (*.f64 w r) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/8 (fma.f64 v -2 3)) -1) (*.f64 (-.f64 1 v) (neg.f64 (pow.f64 (*.f64 w r) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3))) (/.f64 (sqrt.f64 (-.f64 1 v)) (*.f64 w r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/8 (fma.f64 v -2 3)) 3) (pow.f64 (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/8 (fma.f64 v -2 3)) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) 3) (pow.f64 (*.f64 1/8 (fma.f64 v -2 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (*.f64 (fma.f64 v -2 3) (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 w r) 2) (/.f64 1 (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) 1)))) (#(struct:change #<rule 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-1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 v)) (*.f64 w r)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 v)) (*.f64 w r)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) 1) (/.f64 (*.f64 w r) (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 w r) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) 1) (/.f64 (*.f64 r r) (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 (pow.f64 (*.f64 w r) 2) (cbrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 (*.f64 w r) (cbrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 w r) 4)) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) (cbrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 (*.f64 r r) (cbrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 v))) (/.f64 (pow.f64 (*.f64 w r) 2) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) (sqrt.f64 (-.f64 1 v))) (/.f64 (*.f64 w r) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 w r) 4)) (sqrt.f64 (-.f64 1 v))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) (sqrt.f64 (-.f64 1 v))) (/.f64 (*.f64 r r) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 (pow.f64 v 3))) (+.f64 1 (fma.f64 v v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 (*.f64 v v))) 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(-.f64 1 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 v))) (*.f64 w r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3) (pow.f64 (-.f64 1 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 w r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 w r) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 w r) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 w r) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 w r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 w (*.f64 r (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 w (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w r) (*.f64 w r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 w r) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r r) (*.f64 w w))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w w) (*.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) (cbrt.f64 (pow.f64 (*.f64 w r) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) (*.f64 (cbrt.f64 (*.f64 w r)) (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 w r) 4)) (pow.f64 (cbrt.f64 (*.f64 w r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 w r)) (*.f64 (sqrt.f64 (*.f64 w r)) (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 w r))) (sqrt.f64 (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 w r) w) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 w r) r) w)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 w r) (pow.f64 (cbrt.f64 (*.f64 w r)) 2)) (cbrt.f64 (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 w r) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 w r) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 w r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 w r))) 1))))))

simplify209.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

910×	`times-frac_binary64`
889×	`fma-def_binary64`
660×	`associate-/l*_binary64`
277×	`associate-+l+_binary64`
269×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	2268
1	340	2134
2	1477	1942

Stop Event

1×	node limit

Counts

203 → 146

Calls

Call 1

Inputs
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (+.f64 (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 (pow.f64 v 3) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2)))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v))))
(+.f64 (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(+.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))))))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(/.f64 (*.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4)))
✓	0.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
	0.9b	(/.f64 2 (*.f64 r r))
✓	20.7b	(.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))

Compiler

Compiled 77 to 38 computations (50.6% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	w	@	0	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
0.0ms	r	@	0	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
0.0ms	w	@	0	(.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))
0.0ms	r	@	0	(.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))
0.0ms	w	@	inf	(.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))

rewrite161.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`log-prod_binary64`
636×	`fma-def_binary64`
376×	`fma-neg_binary64`
304×	`expm1-udef_binary64`
304×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	356	51
2	4921	49

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

Inputs

(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) 1/4))

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) 1/4))) 9/2)

(-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) 1/4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) 1/4)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) 1/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) 1/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (*.f64 w r) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 w r) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (*.f64 w r) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 w (*.f64 r 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3) 1/64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 w 4) (*.f64 1/16 (pow.f64 r 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (*.f64 w r) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (*.f64 w r) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 (*.f64 w r) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 w (*.f64 r 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 w (*.f64 r 1/2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (-.f64 (*.f64 2 (pow.f64 r -2)) (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (fma.f64 2 (pow.f64 r -2) (*.f64 (pow.f64 (*.f64 w r) 2) -1/4)) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 r -2)) (-.f64 3 (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (pow.f64 r -2) 3) (neg.f64 (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -9/2 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2))) (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2) 2)) (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2)) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 3) -729/8) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 9/2 81/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 2) -81/4) (/.f64 1 (+.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 9/2 81/4)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 3) -729/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 9/2)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 2) -81/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 3) -729/8) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 9/2 81/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 3) -729/8) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 2) (-.f64 81/4 (*.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 2) -81/4) (+.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 3) -729/8)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 9/2 81/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 (fma.f64 2 (pow.f64 r -2) 3)) 2) -81/4)) (neg.f64 (+.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2 (pow.f64 r -2) 3) 3) (pow.f64 (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 r -2) 3) 2) (fma.f64 (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2) (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2) (*.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2 (pow.f64 r -2) 3) 2) (*.f64 (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2) (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2))) (+.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 1/4 (pow.f64 (*.f64 w r) 2) 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 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simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

907×	`distribute-rgt-neg-in_binary64`
731×	`distribute-lft-neg-in_binary64`
666×	`fma-def_binary64`
575×	`distribute-neg-frac_binary64`
376×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	1250
1	56	1216
2	123	1216
3	344	1216
4	1466	1216
5	2915	1216
6	5369	1216

Stop Event

1×	node limit

Counts

312 → 258

Calls

Call 1

Inputs
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(/.f64 2 (pow.f64 r 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 r 2))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 r 2))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(/.f64 2 (pow.f64 r 2))
(+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 r 2))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 r 2))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))

Outputs
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
(.f64 (.f64 w w) (.f64 r (.f64 r 1/4)))
(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
(.f64 (.f64 w w) (.f64 r (.f64 r 1/4)))
(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
(.f64 (.f64 w w) (.f64 r (.f64 r 1/4)))
(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
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(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
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(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
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(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
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(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
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(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
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(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
(.f64 (.f64 w w) (.f64 r (.f64 r 1/4)))
(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
(.f64 (.f64 w w) (.f64 r (.f64 r 1/4)))
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(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
(.f64 (.f64 w w) (.f64 r (.f64 r 1/4)))
(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 1/4 (.f64 w (.f64 w (.f64 r r))))
(.f64 (.f64 w w) (.f64 r (.f64 r 1/4)))
(.f64 (.f64 r r) (.f64 1/4 (.f64 w w)))
(.f64 w (.f64 (.f64 r r) (.f64 1/4 w)))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
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(-.f64 (*.f64 2 (/.f64 1 (pow.f64 r 2))) 3/2)
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(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)) -3/2))
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(+.f64 (/.f64 (/.f64 2 r) r) (fma.f64 (.f64 w w) (.f64 r (*.f64 r -1/4)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) -1/4) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 (.f64 r r) -1/4)) -3/2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)) -3/2))
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(+.f64 (/.f64 (/.f64 2 r) r) (fma.f64 (.f64 w w) (.f64 r (*.f64 r -1/4)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) -1/4) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 (.f64 r r) -1/4)) -3/2))
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r))
(.f64 (.f64 w w) (.f64 (.f64 r r) -1/4))
(.f64 (.f64 (.f64 w w) r) (.f64 r -1/4))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 (.f64 w (.f64 w (*.f64 r r))) -1/4 -3/2)
(fma.f64 (.f64 w w) (.f64 r (*.f64 r -1/4)) -3/2)
(fma.f64 (.f64 w w) (.f64 (*.f64 r r) -1/4) -3/2)
(fma.f64 w (.f64 w (.f64 (*.f64 r r) -1/4)) -3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)) -3/2))
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(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)) -3/2))
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(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 (.f64 w (.f64 w (*.f64 r r))) -1/4 -3/2)
(fma.f64 (.f64 w w) (.f64 r (*.f64 r -1/4)) -3/2)
(fma.f64 (.f64 w w) (.f64 (*.f64 r r) -1/4) -3/2)
(fma.f64 w (.f64 w (.f64 (*.f64 r r) -1/4)) -3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)) -3/2))
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(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w r) (.f64 r (.f64 w -1/4)) 3))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (+.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 -1/4 (.f64 w w)) (*.f64 r r))) 3)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w (.f64 w (.f64 r r))) -1/4 3))
(fma.f64 (.f64 r r) (.f64 (*.f64 w w) -1/4) (+.f64 (/.f64 (/.f64 2 r) r) 3))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 (.f64 r r) -1/4)) 3))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w r) (.f64 r (.f64 w -1/4)) 3))
(+.f64 3 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (+.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 -1/4 (.f64 w w)) (*.f64 r r))) 3)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w (.f64 w (.f64 r r))) -1/4 3))
(fma.f64 (.f64 r r) (.f64 (*.f64 w w) -1/4) (+.f64 (/.f64 (/.f64 2 r) r) 3))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 (.f64 r r) -1/4)) 3))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w r) (.f64 r (.f64 w -1/4)) 3))

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(/.f64 2 (*.f64 r r))
✓	3.8b	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r))
✓	5.9b	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r)) (-.f64 1 v))
✓	6.0b	(.f64 (.f64 w (*.f64 w r)) r)

Compiler

Compiled 149 to 81 computations (45.6% saved)

series116.0ms (0.9%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
110.0ms	v	@	inf	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r)) (-.f64 1 v))
0.0ms	v	@	-inf	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r)) (-.f64 1 v))
0.0ms	v	@	0	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r)) (-.f64 1 v))
0.0ms	w	@	0	(.f64 (.f64 w (*.f64 w r)) r)
0.0ms	w	@	inf	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r))

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

329×	`pow1/3_binary64`
317×	`expm1-udef_binary64`
316×	`log1p-udef_binary64`
296×	`pow3_binary64`
280×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	373	51
2	5035	47

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(.f64 (.f64 w (*.f64 w r)) r)
(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r)) (-.f64 1 v))
(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 w r) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 w r) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 w r) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 r 3) (pow.f64 (*.f64 w (*.f64 w r)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 w (*.f64 w r)) 3) (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 w r) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (*.f64 w (*.f64 w r)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 w (*.f64 w r)) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 w r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 w r))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 w r) 2) (*.f64 (*.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (fma.f64 v -2 3)) (*.f64 (pow.f64 (*.f64 w r) 2) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) (/.f64 1 (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v)))) (pow.f64 (cbrt.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v)))) 2) (cbrt.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))) 2) (*.f64 (cbrt.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))) (sqrt.f64 (-.f64 1 v))) (/.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))) (*.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))) (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) (/.f64 1 (neg.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 v)) (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 w (*.f64 w r)) (*.f64 1/8 (fma.f64 v -2 3))) (*.f64 r (/.f64 1 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 1) (/.f64 (*.f64 1/8 (fma.f64 v -2 3)) (-.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/8 (fma.f64 v -2 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(cbrt.f64 (-.f64 1 v)) 2)) (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (cbrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/8 (fma.f64 v -2 3)) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 (pow.f64 (*.f64 w r) 2) (cbrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) (cbrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))) 2) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (cbrt.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))) (cbrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 w (*.f64 w r)) (*.f64 1/8 (fma.f64 v -2 3))) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 r (cbrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (sqrt.f64 (-.f64 1 v))) (/.f64 (*.f64 1/8 (fma.f64 v -2 3)) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/8 (fma.f64 v -2 3)) (sqrt.f64 (-.f64 1 v))) (/.f64 (pow.f64 (*.f64 w r) 2) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 (sqrt.f64 (-.f64 1 v))) (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 v))) (/.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))) 2) (sqrt.f64 (-.f64 1 v))) (/.f64 (cbrt.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))) (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 w (*.f64 w r)) (*.f64 1/8 (fma.f64 v -2 3))) (sqrt.f64 (-.f64 1 v))) (/.f64 r (sqrt.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) (-.f64 1 (pow.f64 v 3))) (+.f64 1 (fma.f64 v v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) (-.f64 1 (*.f64 v v))) (+.f64 v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))) (sqrt.f64 (-.f64 1 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (/.f64 (-.f64 1 v) (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) 3) (pow.f64 (-.f64 1 v) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 8 (/.f64 (-.f64 1 v) (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) (neg.f64 (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 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egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)) (-.f64 1 v)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 1/8 (fma.f64 v -2 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3) (pow.f64 (*.f64 1/8 (fma.f64 v -2 3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 1/8 (fma.f64 v -2 3)) 3) (pow.f64 (pow.f64 (*.f64 w r) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/8) (fma.f64 v -2 3)) (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3) (pow.f64 (*.f64 1/8 (fma.f64 v -2 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/8 (fma.f64 v -2 3)) 3) (pow.f64 (pow.f64 (*.f64 w r) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 v -2 3)))) 1))))))

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

969×	`div-sub_binary64`
652×	`times-frac_binary64`
640×	`associate-r_binary64`
582×	`associate-/l*_binary64`
511×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	2435
1	261	2062
2	1118	1762
3	7507	1762

Stop Event

1×	node limit

Counts

185 → 117

Calls

Call 1

Inputs
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (+.f64 (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 (pow.f64 v 3) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2)))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v))))
(+.f64 (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 -1/4 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 -1/4 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 -1/4 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 -1/4 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 -1/4 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 -1/4 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 -1/4 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 -1/4 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 -1/4 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (-.f64 3 (.f64 2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))))

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

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 w (.f64 w r))
	0.9b	(/.f64 2 (*.f64 r r))
✓	4.2b	(.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3)))
✓	7.4b	(.f64 (/.f64 (.f64 (.f64 w (.f64 w r)) (*.f64 1/8 (fma.f64 v -2 3))) 1) (/.f64 r (-.f64 1 v)))

Compiler

Compiled 157 to 93 computations (40.8% saved)

series11.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (/.f64 (.f64 (.f64 w (.f64 w r)) (*.f64 1/8 (fma.f64 v -2 3))) 1) (/.f64 r (-.f64 1 v)))
1.0ms	v	@	-inf	(.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3)))
1.0ms	v	@	0	(.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3)))
1.0ms	r	@	0	(.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3)))
1.0ms	w	@	inf	(.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3)))

rewrite134.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`log-prod_binary64`
301×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`
242×	`log-pow_binary64`
203×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	371	47
2	4564	47

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 (.f64 w (.f64 w r)) (*.f64 1/8 (fma.f64 v -2 3))) 1) (/.f64 r (-.f64 1 v)))
(.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3)))
(.f64 w (.f64 w r))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 w (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 w) (*.f64 w r))) (cbrt.f64 (pow.f64 (exp.f64 w) (*.f64 w r))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 w) (*.f64 w r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 w) (*.f64 w r)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 w) (*.f64 w r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 w (*.f64 w r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 w (*.f64 w r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 w (*.f64 w r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 w (sqrt.f64 r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 w (*.f64 w r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 w) (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 w (*.f64 w r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 w (*.f64 w r)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 w 3) (pow.f64 (*.f64 w r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 w r) 3) (pow.f64 w 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 w (*.f64 w r))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 w (*.f64 w r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 w (*.f64 w r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 w (*.f64 w r))) 1))))))

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

932×	`div-sub_binary64`
652×	`times-frac_binary64`
645×	`associate-r_binary64`
566×	`associate-/l*_binary64`
505×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	2024
1	267	1867
2	1142	1582
3	7338	1582

Stop Event

1×	node limit

Counts

211 → 145

Calls

Call 1

Inputs
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (+.f64 (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 (pow.f64 v 3) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2)))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v))))
(+.f64 (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 1/8 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) r))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) (.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) (.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) (.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r))))
(.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) (.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) (.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) (.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r))))
(.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) (.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) (.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) (.f64 -1/4 (.f64 v (*.f64 (pow.f64 w 2) r))))
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)
(*.f64 (pow.f64 w 2) r)

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (/.f64 (-.f64 1 v) r) r)
✓	0.4b	(*.f64 (/.f64 2 r) (/.f64 1 r))
	2.8b	(*.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w)
	9.0b	(/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r))

Compiler

Compiled 105 to 68 computations (35.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	r	@	0	(*.f64 (/.f64 2 r) (/.f64 1 r))
0.0ms	r	@	inf	(*.f64 (/.f64 2 r) (/.f64 1 r))
0.0ms	r	@	-inf	(*.f64 (/.f64 2 r) (/.f64 1 r))

rewrite37.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`pow1_binary64`
597×	`add-log-exp_binary64`
597×	`log1p-expm1-u_binary64`
597×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	149	7
2	1771	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(*.f64 (/.f64 2 r) (/.f64 1 r))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (pow.f64 r -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 r) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 r (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 r) r)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 r 1/2) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 r (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 r r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 r (/.f64 2 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 r) (*.f64 r 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 2 r)) 2) (/.f64 r (cbrt.f64 (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 2 r)) (/.f64 r (sqrt.f64 (/.f64 2 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 r) (*.f64 r 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 r 1/2) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 r) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 r (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 r)) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 r) (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 r) 1) r)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 r) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 1 r)) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 2 r)) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 r) -1) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 r) -2) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 r -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 r -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 r -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) r) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (pow.f64 r -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 r -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 2 r) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 2 r) 3) (/.f64 (pow.f64 r -2) r)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 r -2) r) (pow.f64 (/.f64 2 r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 r -2))))))))

simplify139.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	84
1	10	84
2	19	84
3	34	84
4	74	84
5	222	84
6	831	84
7	2040	84
8	2206	84
9	2390	84
10	2598	84
11	2897	84
12	3290	84
13	3773	84
14	4339	84
15	5025	84
16	5864	84
17	6256	84
18	6542	84
19	6816	84
20	6888	84
21	6922	84

Stop Event

1×	node limit

Counts

50 → 39

Calls

Call 1

Inputs
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))

Outputs
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))

eval1.1s (8.4%)

Compiler: Compiled 31027 to 21936 computations (29.3% saved)

prune169.0ms (1.2%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	970	21	991
Fresh	9	3	12
Picked	1	0	1
Done	3	2	5
Total	983	26	1009

Error

Counts

1009 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	20.9b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
▶	37.7b	(/.f64 (/.f64 2 r) r)
▶	6.6b	(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
✓	6.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
	21.6b	(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
	15.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (.f64 w r) (.f64 w r)) 3/2))
	18.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
▶	34.4b	(-.f64 (fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3) 9/2)
	19.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 r r) (*.f64 1/4 w)))) 9/2)
✓	21.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
	3.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 (/.f64 8 (fma.f64 v -2 3)) (.f64 w (*.f64 w r))))) 9/2)
	6.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 (fma.f64 v -1/4 3/8) (.f64 w r)) (*.f64 w r)) (-.f64 1 v))) 9/2)
	11.0b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 (fma.f64 v -1/4 3/8) (*.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
	45.2b	(fma.f64 w (.f64 w (.f64 (*.f64 r r) -1/4)) -3/2)
	3.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) (.f64 v -2)) (.f64 (.f64 w (.f64 (*.f64 w r) 1/8)) 3)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	13.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r 3/8)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	58.3b	(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
	13.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	23.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
	4.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w r) (fma.f64 1/8 (*.f64 v -2) 3/8))) (/.f64 (-.f64 1 v) r))) 9/2)
	4.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 w (.f64 w r))) 3) (.f64 1/8 (fma.f64 v -2 3))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
▶	1.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3))))) 9/2)
▶	17.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
	4.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (/.f64 w (/.f64 1 (.f64 (.f64 w r) (fma.f64 1/8 (*.f64 v -2) 3/8)))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	16.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 v (.f64 (.f64 -1/4 (.f64 w w)) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	18.8b	(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))

Compiler

Compiled 1272 to 929 computations (27% saved)

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 w (.f64 w r))
	0.9b	(/.f64 2 (*.f64 r r))
✓	3.0b	(*.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3)))
✓	6.1b	(/.f64 (.f64 w (.f64 w r)) (*.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3))))

Compiler

Compiled 137 to 82 computations (40.1% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	r	@	0	(*.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3)))
1.0ms	r	@	inf	(*.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3)))
1.0ms	v	@	0	(*.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3)))
1.0ms	v	@	inf	(*.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3)))
0.0ms	r	@	-inf	(*.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3)))

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

367×	`log-div_binary64`
318×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
264×	`prod-diff_binary64`
251×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	359	43
2	5312	43

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs
(/.f64 (.f64 w (.f64 w r)) (*.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3))))
(*.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 w (*.f64 w r)) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 8 (fma.f64 v -2 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 w (/.f64 1 (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r) (*.f64 w r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 w (*.f64 (*.f64 w r) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 8 (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w r) (*.f64 w (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 8 (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w (*.f64 w r)) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 8 (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 w (*.f64 w r)) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 8 (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 w (*.f64 w r)) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 8 (fma.f64 v -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w w) (*.f64 r (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 8 (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) 2) (*.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 8 (fma.f64 v -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) (pow.f64 (*.f64 w r) 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) (pow.f64 (*.f64 w r) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) (pow.f64 (*.f64 w r) 2)))) 2) (/.f64 1 (cbrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) (pow.f64 (*.f64 w r) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w (sqrt.f64 r)) (*.f64 (*.f64 w (sqrt.f64 r)) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 8 (fma.f64 v -2 3)))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) (/.f64 8 (fma.f64 v -2 3))) (/.f64 r (/.f64 (-.f64 1 v) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) 2) (/.f64 8 (fma.f64 v -2 3))) (/.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (/.f64 (-.f64 1 v) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r) 2))) (/.f64 (*.f64 w r) (cbrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r) 2))) (/.f64 w (cbrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r) 2))) (/.f64 (*.f64 w (*.f64 w r)) (cbrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v 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r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) (sqrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))) (/.f64 w (sqrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))) (/.f64 (*.f64 w (*.f64 w r)) (sqrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) (sqrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))) (/.f64 r (sqrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) 2) (sqrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))) (/.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (sqrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 v) r)) (/.f64 8 (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 v) r) 3) (pow.f64 (/.f64 8 (fma.f64 v -2 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 8 (fma.f64 v -2 3)) 3) (pow.f64 (/.f64 (-.f64 1 v) r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 v) 8) (fma.f64 v -2 3)) r)))))) (#(struct:change #<rule 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simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

689×	`times-frac_binary64`
630×	`associate-l_binary64`
606×	`associate-/l*_binary64`
574×	`associate-r_binary64`
571×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1652
1	358	1535
2	1341	1419

Stop Event

1×	node limit

Counts

180 → 157

Calls

Call 1

Inputs
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (+.f64 (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 (pow.f64 v 3) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2)))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v))))
(+.f64 (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))))
(/.f64 8/3 r)
(+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r)))
(+.f64 (.f64 8/3 (/.f64 1 r)) (+.f64 (.f64 -16/27 (/.f64 (pow.f64 v 2) r)) (*.f64 -8/9 (/.f64 v r))))
(+.f64 (.f64 8/3 (/.f64 1 r)) (+.f64 (.f64 -16/27 (/.f64 (pow.f64 v 2) r)) (+.f64 (.f64 -8/9 (/.f64 v r)) (.f64 -32/81 (/.f64 (pow.f64 v 3) r)))))
(/.f64 4 r)
(+.f64 (.f64 4 (/.f64 1 r)) (.f64 2 (/.f64 1 (*.f64 v r))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 2 (/.f64 1 (.f64 v r))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 v 2) r)))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 9/2 (/.f64 1 (.f64 (pow.f64 v 3) r))) (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 v 2) r))) (.f64 2 (/.f64 1 (*.f64 v r))))))
(/.f64 4 r)
(+.f64 (.f64 4 (/.f64 1 r)) (.f64 2 (/.f64 1 (*.f64 v r))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 2 (/.f64 1 (.f64 v r))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 v 2) r)))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 9/2 (/.f64 1 (.f64 (pow.f64 v 3) r))) (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 v 2) r))) (.f64 2 (/.f64 1 (*.f64 v r))))))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))

Outputs
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (.f64 w w) (.f64 r r)) 3/8)
(.f64 (.f64 w w) (.f64 (.f64 r r) 3/8))
(.f64 (.f64 w w) (.f64 3/8 (.f64 r r)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))
(fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (.f64 (.f64 1/8 v) (.f64 (.f64 (.f64 w w) (*.f64 r r)) 1)))
(fma.f64 1/8 (.f64 v (.f64 w (.f64 w (.f64 r r)))) (.f64 (.f64 w w) (.f64 (.f64 r r) 3/8)))
(.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (*.f64 1/8 v)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))))))))
(fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (+.f64 (.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) 1) (.f64 v v)) (.f64 v (.f64 (.f64 (.f64 w w) (*.f64 r r)) 1)))))
(fma.f64 1/8 (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 (.f64 v v) v)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8)))
(.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (*.f64 1/8 (fma.f64 v v v))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (+.f64 (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 (pow.f64 v 3) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))))
(fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (fma.f64 1/8 (.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) 1) (.f64 v v)) (.f64 1/8 (+.f64 (.f64 v (.f64 (.f64 (.f64 w w) (.f64 r r)) 1)) (.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) 1) (pow.f64 v 3))))))
(fma.f64 (.f64 w (.f64 w (.f64 r r))) 3/8 (.f64 1/8 (+.f64 (.f64 (.f64 w (.f64 w (.f64 r r))) (.f64 v v)) (.f64 (.f64 w (.f64 w (*.f64 r r))) (+.f64 v (pow.f64 v 3))))))
(fma.f64 1/8 (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (fma.f64 v v v) (pow.f64 v 3))) (.f64 (.f64 w w) (.f64 3/8 (.f64 r r))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 1/4 (.f64 w w)) (.f64 r r))
(.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))
(.f64 (.f64 w w) (.f64 1/4 (.f64 r r)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (.f64 (.f64 1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4)))
(fma.f64 (.f64 r r) (.f64 w (.f64 w 1/4)) (.f64 -1/8 (/.f64 (.f64 (.f64 w r) (*.f64 w r)) v)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2)))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (fma.f64 1/4 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) (*.f64 v v)))))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (fma.f64 1/8 (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) v) (/.f64 -1 v)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))))
(fma.f64 (.f64 w w) (.f64 r (.f64 r 1/4)) (.f64 (/.f64 (.f64 w (neg.f64 (.f64 (*.f64 w r) r))) v) (+.f64 1/8 (/.f64 1/8 v))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (fma.f64 1/4 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (+.f64 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) (.f64 v v)) (/.f64 (.f64 (.f64 (.f64 w w) (*.f64 r r)) -1) (pow.f64 v 3))))))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (fma.f64 1/8 (+.f64 (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) v) (/.f64 -1 v)) (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 (pow.f64 v 3) -1))) (.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))))
(fma.f64 -1/8 (/.f64 r (/.f64 (pow.f64 v 3) (.f64 r (.f64 w w)))) (fma.f64 (.f64 w w) (.f64 r (.f64 r 1/4)) (.f64 (/.f64 (.f64 w (neg.f64 (.f64 (*.f64 w r) r))) v) (+.f64 1/8 (/.f64 1/8 v)))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 1/4 (.f64 w w)) (.f64 r r))
(.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))
(.f64 (.f64 w w) (.f64 1/4 (.f64 r r)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (.f64 (.f64 1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4)))
(fma.f64 (.f64 r r) (.f64 w (.f64 w 1/4)) (.f64 -1/8 (/.f64 (.f64 (.f64 w r) (*.f64 w r)) v)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (fma.f64 1/4 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) (*.f64 v v)))))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (fma.f64 1/8 (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) v) (/.f64 -1 v)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))))
(fma.f64 (.f64 w w) (.f64 r (.f64 r 1/4)) (.f64 (/.f64 (.f64 w (neg.f64 (.f64 (*.f64 w r) r))) v) (+.f64 1/8 (/.f64 1/8 v))))
(+.f64 (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (fma.f64 1/4 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (+.f64 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) (.f64 v v)) (/.f64 (.f64 (.f64 (.f64 w w) (*.f64 r r)) -1) (pow.f64 v 3))))))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (fma.f64 1/8 (+.f64 (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) v) (/.f64 -1 v)) (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 (pow.f64 v 3) -1))) (.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))))
(fma.f64 -1/8 (/.f64 r (/.f64 (pow.f64 v 3) (.f64 r (.f64 w w)))) (fma.f64 (.f64 w w) (.f64 r (.f64 r 1/4)) (.f64 (/.f64 (.f64 w (neg.f64 (.f64 (*.f64 w r) r))) v) (+.f64 1/8 (/.f64 1/8 v)))))
(/.f64 8/3 r)
(+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r)))
(+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r)))
(fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))
(+.f64 (.f64 8/3 (/.f64 1 r)) (+.f64 (.f64 -16/27 (/.f64 (pow.f64 v 2) r)) (*.f64 -8/9 (/.f64 v r))))
(+.f64 (/.f64 8/3 r) (fma.f64 -16/27 (/.f64 (.f64 v v) r) (.f64 -8/9 (/.f64 v r))))
(+.f64 (/.f64 8/3 r) (fma.f64 -16/27 (/.f64 v (/.f64 r v)) (/.f64 -8/9 (/.f64 r v))))
(fma.f64 -8/9 (/.f64 v r) (fma.f64 -16/27 (/.f64 (*.f64 v v) r) (/.f64 8/3 r)))
(+.f64 (.f64 8/3 (/.f64 1 r)) (+.f64 (.f64 -16/27 (/.f64 (pow.f64 v 2) r)) (+.f64 (.f64 -8/9 (/.f64 v r)) (.f64 -32/81 (/.f64 (pow.f64 v 3) r)))))
(+.f64 (/.f64 8/3 r) (fma.f64 -16/27 (/.f64 (.f64 v v) r) (fma.f64 -8/9 (/.f64 v r) (.f64 -32/81 (/.f64 (pow.f64 v 3) r)))))
(+.f64 (/.f64 8/3 r) (fma.f64 -16/27 (/.f64 v (/.f64 r v)) (fma.f64 -32/81 (/.f64 (pow.f64 v 3) r) (/.f64 -8/9 (/.f64 r v)))))
(+.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (fma.f64 -16/27 (/.f64 (*.f64 v v) r) (/.f64 (pow.f64 v 3) (/.f64 r -32/81))))
(/.f64 4 r)
(+.f64 (.f64 4 (/.f64 1 r)) (.f64 2 (/.f64 1 (*.f64 v r))))
(+.f64 (/.f64 4 r) (/.f64 2 (*.f64 v r)))
(+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 2 (/.f64 1 (.f64 v r))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 v 2) r)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 r (*.f64 v v)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 (/.f64 2 v) r) (/.f64 3 (.f64 v (.f64 v r)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 v (*.f64 v r)))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 9/2 (/.f64 1 (.f64 (pow.f64 v 3) r))) (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 v 2) r))) (.f64 2 (/.f64 1 (*.f64 v r))))))
(+.f64 (+.f64 (/.f64 4 r) (/.f64 9/2 (.f64 r (pow.f64 v 3)))) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 r (.f64 v v)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 3 (.f64 v (.f64 v r))) (+.f64 (/.f64 (/.f64 2 v) r) (/.f64 9/2 (*.f64 r (pow.f64 v 3))))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 3 (.f64 v (.f64 v r))) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 9/2 (.f64 r (pow.f64 v 3))))))
(/.f64 4 r)
(+.f64 (.f64 4 (/.f64 1 r)) (.f64 2 (/.f64 1 (*.f64 v r))))
(+.f64 (/.f64 4 r) (/.f64 2 (*.f64 v r)))
(+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 2 (/.f64 1 (.f64 v r))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 v 2) r)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 r (*.f64 v v)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 (/.f64 2 v) r) (/.f64 3 (.f64 v (.f64 v r)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 v (*.f64 v r)))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 9/2 (/.f64 1 (.f64 (pow.f64 v 3) r))) (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 v 2) r))) (.f64 2 (/.f64 1 (*.f64 v r))))))
(+.f64 (+.f64 (/.f64 4 r) (/.f64 9/2 (.f64 r (pow.f64 v 3)))) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 r (.f64 v v)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 3 (.f64 v (.f64 v r))) (+.f64 (/.f64 (/.f64 2 v) r) (/.f64 9/2 (*.f64 r (pow.f64 v 3))))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 3 (.f64 v (.f64 v r))) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 9/2 (.f64 r (pow.f64 v 3))))))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 2 r) r)

Compiler

Compiled 13 to 9 computations (30.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	r	@	0	(/.f64 (/.f64 2 r) r)
0.0ms	r	@	-inf	(/.f64 (/.f64 2 r) r)
0.0ms	r	@	inf	(/.f64 (/.f64 2 r) r)

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
544×	`add-log-exp_binary64`
544×	`log1p-expm1-u_binary64`
544×	`expm1-log1p-u_binary64`
534×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	112	7
2	1475	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (/.f64 2 r) r)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 r r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 r) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 r) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 r) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 r r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 r r))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 r r))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 r r))) 2) (cbrt.f64 (/.f64 2 (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 r)) 2) (*.f64 (cbrt.f64 (/.f64 2 r)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 r)) (*.f64 (sqrt.f64 (/.f64 2 r)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 r) (/.f64 1 (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (/.f64 2 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 r)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 r)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 r)) 1) (/.f64 (sqrt.f64 (/.f64 2 r)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (/.f64 1 r) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (/.f64 2 r) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 r)) 2) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 (/.f64 2 (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 r)) (pow.f64 (cbrt.f64 r) 2)) (/.f64 (sqrt.f64 (/.f64 2 r)) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 r)) (/.f64 (/.f64 1 r) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 r)) (/.f64 (/.f64 2 r) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 r)) 2) (sqrt.f64 r)) (/.f64 (cbrt.f64 (/.f64 2 r)) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 r r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 r r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 r r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) r) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (*.f64 r 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 r) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (*.f64 r r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 r r)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 r r))))))))

simplify132.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	84
1	10	84
2	19	84
3	34	84
4	74	84
5	222	84
6	831	84
7	2040	84
8	2206	84
9	2390	84
10	2598	84
11	2897	84
12	3290	84
13	3773	84
14	4339	84
15	5025	84
16	5864	84
17	6256	84
18	6542	84
19	6816	84
20	6888	84
21	6922	84

Stop Event

1×	node limit

Counts

47 → 37

Calls

Call 1

Inputs
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))

Outputs
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 w r) r)
	0.9b	(/.f64 2 (*.f64 r r))
✓	3.8b	(.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (*.f64 1/8 v)))
✓	5.5b	(.f64 w (.f64 (*.f64 w r) r))

Compiler

Compiled 106 to 51 computations (51.9% saved)

series8.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	w	@	0	(.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (*.f64 1/8 v)))
1.0ms	w	@	inf	(.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (*.f64 1/8 v)))
1.0ms	r	@	inf	(.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (*.f64 1/8 v)))
1.0ms	r	@	0	(.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (*.f64 1/8 v)))
1.0ms	v	@	0	(.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (*.f64 1/8 v)))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`log-prod_binary64`
497×	`prod-diff_binary64`
329×	`pow2_binary64`
319×	`pow-unpow_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	261	28
2	3462	28

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs
(.f64 w (.f64 (*.f64 w r) r))
(.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (*.f64 1/8 v)))
(.f64 (.f64 w r) r)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 w r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 w r) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 w r) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 w r) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 w r) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 w 3) (pow.f64 (*.f64 w (*.f64 r r)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 w (*.f64 r r)) 3) (pow.f64 w 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 w r) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 w 3) (pow.f64 (*.f64 w (*.f64 r r)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 w (*.f64 r r)) 3) (pow.f64 w 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 w r) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 w r) 2)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 w r) 2) 3/8) (*.f64 (pow.f64 (*.f64 w r) 2) (*.f64 1/8 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (*.f64 1/8 v)) (*.f64 (pow.f64 (*.f64 w r) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (*.f64 w r) 2) (fma.f64 1/8 v 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (*.f64 w r) 2) 3/8) 1) (*.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (*.f64 1/8 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) (fma.f64 1/8 v 3/8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) (fma.f64 1/8 v 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) (fma.f64 1/8 v 3/8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 w r) 2)) (fma.f64 1/8 v 3/8)))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 w r) 2) 1/8) v (*.f64 (pow.f64 (*.f64 w r) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 w r) 2) v) 1/8 (*.f64 (pow.f64 (*.f64 w r) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (pow.f64 (cbrt.f64 (*.f64 1/8 v)) 2)) (cbrt.f64 (*.f64 1/8 v)) (*.f64 (pow.f64 (*.f64 w r) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 w r) 2) (sqrt.f64 (*.f64 1/8 v))) (sqrt.f64 (*.f64 1/8 v)) (*.f64 (pow.f64 (*.f64 w r) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/8 v) w) (*.f64 w (*.f64 r r)) (*.f64 (pow.f64 (*.f64 w r) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/8 v) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) 2)) (pow.f64 (cbrt.f64 (*.f64 w r)) 2) (*.f64 (pow.f64 (*.f64 w r) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/8 v) (*.f64 w r)) (*.f64 w r) (*.f64 (pow.f64 (*.f64 w r) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/8 v) (*.f64 w (*.f64 w r))) r (*.f64 (pow.f64 (*.f64 w r) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/8 w) (*.f64 w (*.f64 r r)) (*.f64 (pow.f64 (*.f64 w r) 2) (*.f64 1/8 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/8 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) 2)) (pow.f64 (cbrt.f64 (*.f64 w r)) 2) (*.f64 (pow.f64 (*.f64 w r) 2) (*.f64 1/8 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/8 (*.f64 w r)) (*.f64 w r) (*.f64 (pow.f64 (*.f64 w r) 2) (*.f64 1/8 v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/8 (*.f64 w (*.f64 w r))) r (*.f64 (pow.f64 (*.f64 w r) 2) (*.f64 1/8 v)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 w (*.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (*.f64 w r))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (*.f64 w r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (*.f64 w r)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (*.f64 w r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 w (*.f64 r r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 w (*.f64 r r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 w (*.f64 r r)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 w (*.f64 r r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 w (*.f64 r r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 w) r) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 r 3) (pow.f64 (*.f64 w r) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 w r) 3) (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 w (*.f64 r r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 w (*.f64 r r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 w (*.f64 r r)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (*.f64 w r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 w r) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 w (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 w (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 w (*.f64 r r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 w (*.f64 r r))) 1))))))

simplify217.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1012×	`distribute-lft-in_binary64`
1010×	`distribute-rgt-in_binary64`
698×	`associate-l_binary64`
551×	`associate-r_binary64`
379×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1014
1	44	1014
2	120	1014
3	478	1014
4	2630	1014
5	4310	1014
6	5137	1014
7	5485	1014
8	5626	1014
9	5761	1014
10	5917	1014
11	6087	1014

Stop Event

1×	node limit

Counts

198 → 125

Calls

Call 1

Inputs
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))
(*.f64 w (pow.f64 r 2))

Outputs
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(*.f64 (pow.f64 w 2) (pow.f64 r 2))
(.f64 (.f64 w w) (*.f64 r r))
(.f64 w (.f64 r (*.f64 r w)))
(.f64 (.f64 w r) (*.f64 w r))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(.f64 (+.f64 (.f64 1/8 v) 3/8) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
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(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
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(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
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(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
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(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (.f64 (.f64 w w) (*.f64 r r)) v))
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(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
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(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
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(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 1/8 (.f64 (.f64 (.f64 w w) (*.f64 r r)) v))
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(.f64 (.f64 w w) (.f64 v (.f64 r (*.f64 r 1/8))))
(.f64 w (.f64 w (.f64 r (.f64 r (*.f64 1/8 v)))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(.f64 (.f64 (fma.f64 1/8 v 3/8) (.f64 w w)) (.f64 r r))
(.f64 (.f64 r r) (.f64 (.f64 w w) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (.f64 w (.f64 r r)) (fma.f64 1/8 v 3/8)))
(.f64 w (.f64 (fma.f64 1/8 v 3/8) (.f64 r (.f64 w r))))
(.f64 w (.f64 w (.f64 (.f64 r r) (fma.f64 1/8 v 3/8))))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))
(*.f64 w (pow.f64 r 2))
(.f64 w (.f64 r r))
(.f64 r (.f64 r w))
(.f64 r (.f64 w r))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3) 9/2)
✓	0.2b	(fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3)

Compiler

Compiled 41 to 24 computations (41.5% saved)

series33.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	r	@	-inf	(fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3)
1.0ms	w	@	0	(fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3)
1.0ms	w	@	inf	(fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3)
1.0ms	r	@	inf	(fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3)
1.0ms	w	@	-inf	(fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3)

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
395×	`exp-prod_binary64`
367×	`prod-exp_binary64`
327×	`pow-prod-down_binary64`
292×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	236	26
2	2795	22

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs
(fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3)
(-.f64 (fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3) 9/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2)) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4) 3) 27) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4) 2) (-.f64 9 (*.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4) 2) 9) (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))) 2)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -9/2 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)) 2) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 3) -729/8) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 9/2 81/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2) -81/4) (/.f64 1 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 3) -729/8)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 9/2 81/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2) -81/4)) (neg.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 9/2 81/4)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 3) -729/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 15/2) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2) -81/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2)) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3) 2)) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) (*.f64 (cbrt.f64 (*.f64 w r)) (*.f64 w (*.f64 -1/4 r))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 w r) 2) -1/4 3)) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 w r)) (*.f64 (sqrt.f64 (*.f64 w r)) (*.f64 w (*.f64 -1/4 r))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4)) 2) (cbrt.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 w r) 2) -1/4)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 w r) r) (*.f64 w -1/4) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 w r) (*.f64 w -1/4)) r -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 w r) (pow.f64 (cbrt.f64 (*.f64 w (*.f64 -1/4 r))) 2)) (cbrt.f64 (*.f64 w (*.f64 -1/4 r))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 w r) (sqrt.f64 (*.f64 w (*.f64 -1/4 r)))) (sqrt.f64 (*.f64 w (*.f64 -1/4 r))) -3/2)))))

simplify181.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

900×	`unswap-sqr_binary64`
700×	`sqr-pow_binary64`
699×	`fabs-mul_binary64`
667×	`cube-prod_binary64`
336×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	648
1	30	612
2	68	612
3	200	612
4	867	612
5	1548	612
6	1620	612
7	1720	612
8	1840	612
9	1962	612
10	2109	612
11	3569	612
12	3798	612
13	4094	612
14	4422	612
15	4835	612
16	5450	612
17	6228	612
18	6723	612
19	7103	612
20	7533	612
21	7933	612

Stop Event

1×	node limit

Counts

144 → 104

Calls

Call 1

Inputs
3
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
3
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
-3/2
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
-3/2
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)

Outputs
3
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r))
(.f64 -1/4 (.f64 (.f64 (.f64 r r) w) w))
(.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 (.f64 w (.f64 r r)) (.f64 -1/4 w))
(.f64 -1/4 (.f64 w (.f64 w (.f64 r r))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r))
(.f64 -1/4 (.f64 (.f64 (.f64 r r) w) w))
(.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 (.f64 w (.f64 r r)) (.f64 -1/4 w))
(.f64 -1/4 (.f64 w (.f64 w (.f64 r r))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
3
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r))
(.f64 -1/4 (.f64 (.f64 (.f64 r r) w) w))
(.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 (.f64 w (.f64 r r)) (.f64 -1/4 w))
(.f64 -1/4 (.f64 w (.f64 w (.f64 r r))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r))
(.f64 -1/4 (.f64 (.f64 (.f64 r r) w) w))
(.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 (.f64 w (.f64 r r)) (.f64 -1/4 w))
(.f64 -1/4 (.f64 w (.f64 w (.f64 r r))))
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
(+.f64 3 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 3 (.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) 3)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) 3)
(fma.f64 (.f64 w w) (.f64 -1/4 (*.f64 r r)) 3)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) 3)
-3/2
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r))
(.f64 -1/4 (.f64 (.f64 (.f64 r r) w) w))
(.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 (.f64 w (.f64 r r)) (.f64 -1/4 w))
(.f64 -1/4 (.f64 w (.f64 w (.f64 r r))))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r))
(.f64 -1/4 (.f64 (.f64 (.f64 r r) w) w))
(.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 (.f64 w (.f64 r r)) (.f64 -1/4 w))
(.f64 -1/4 (.f64 w (.f64 w (.f64 r r))))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
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(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
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(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
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(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
-3/2
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
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(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
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(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
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(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r))
(.f64 -1/4 (.f64 (.f64 (.f64 r r) w) w))
(.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 (.f64 w (.f64 r r)) (.f64 -1/4 w))
(.f64 -1/4 (.f64 w (.f64 w (.f64 r r))))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 -1/4 (.f64 w w)) (.f64 r r))
(.f64 -1/4 (.f64 (.f64 (.f64 r r) w) w))
(.f64 -1/4 (.f64 (.f64 w w) (.f64 r r)))
(.f64 (.f64 w (.f64 r r)) (.f64 -1/4 w))
(.f64 -1/4 (.f64 w (.f64 w (.f64 r r))))
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)
(-.f64 (.f64 -1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -1/4 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 -1/4 (.f64 (.f64 (*.f64 r r) w) w) -3/2)
(fma.f64 (.f64 r (.f64 -1/4 (*.f64 w w))) r -3/2)
(fma.f64 (.f64 w (.f64 r r)) (*.f64 -1/4 w) -3/2)
(fma.f64 -1/4 (.f64 w (.f64 w (*.f64 r r))) -3/2)

localize83.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 w (.f64 w r))
	3.8b	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r))
	5.9b	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (.f64 w r)) r)) (-.f64 1 v))
	6.0b	(.f64 (.f64 w (*.f64 w r)) r)

Compiler

Compiled 150 to 91 computations (39.3% saved)

eval457.0ms (3.3%)

Compiler: Compiled 17740 to 12115 computations (31.7% saved)

prune128.0ms (0.9%)

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	621	15	636
Fresh	8	11	19
Picked	1	0	1
Done	2	4	6
Total	632	30	662

Error

Counts

662 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	20.9b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
✓	37.7b	(/.f64 (/.f64 2 r) r)
	9.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
	34.4b	(+.f64 (.f64 (pow.f64 (.f64 w r) 2) -1/4) -3/2)
	15.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (.f64 w r) (.f64 w r)) 3/2))
	18.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
	19.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 r r) (*.f64 1/4 w)))) 9/2)
✓	21.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
	18.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 w (.f64 r (*.f64 r 3/8))))) 9/2)
	9.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))) 9/2)
	16.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 v (.f64 (.f64 -1/4 (.f64 w w)) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	34.8b	(fma.f64 (.f64 (.f64 w r) (*.f64 w -1/4)) r -3/2)
▶	8.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 8/3 r))) 9/2)
	15.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
	44.5b	-3/2
▶	20.9b	(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
	3.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) (.f64 v -2)) (.f64 (.f64 w (.f64 (*.f64 w r) 1/8)) 3)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	13.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r 3/8)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	8.2b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 -2 v)) r))))) 9/2)
	58.3b	(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
	13.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	4.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w r) (fma.f64 1/8 (*.f64 v -2) 3/8))) (/.f64 (-.f64 1 v) r))) 9/2)
	17.2b	(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
✓	1.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3))))) 9/2)
✓	17.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
▶	1.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (.f64 (fma.f64 v -2 3) 1/8)))) 9/2)
	18.8b	(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
▶	37.7b	(/.f64 2 (*.f64 r r))
	10.9b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2)
▶	9.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))) 9/2)

Compiler

Compiled 1291 to 941 computations (27.1% saved)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 w (.f64 w r))
	0.9b	(/.f64 2 (*.f64 r r))
✓	2.9b	(/.f64 (/.f64 (-.f64 1 v) r) (*.f64 (fma.f64 v -2 3) 1/8))
✓	6.1b	(/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (*.f64 (fma.f64 v -2 3) 1/8)))

Compiler

Compiled 137 to 82 computations (40.1% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (*.f64 (fma.f64 v -2 3) 1/8)))
0.0ms	v	@	-inf	(/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (*.f64 (fma.f64 v -2 3) 1/8)))
0.0ms	v	@	0	(/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (*.f64 (fma.f64 v -2 3) 1/8)))
0.0ms	w	@	0	(/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (*.f64 (fma.f64 v -2 3) 1/8)))
0.0ms	r	@	-inf	(/.f64 (/.f64 (-.f64 1 v) r) (*.f64 (fma.f64 v -2 3) 1/8))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

317×	`log-div_binary64`
312×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
264×	`prod-diff_binary64`
249×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	353	43
2	5163	43

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

Inputs
(/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (*.f64 (fma.f64 v -2 3) 1/8)))
(/.f64 (/.f64 (-.f64 1 v) r) (*.f64 (fma.f64 v -2 3) 1/8))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 w (*.f64 (*.f64 w r) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 w (/.f64 1 (*.f64 (/.f64 (/.f64 (-.f64 1 v) r) r) (/.f64 (/.f64 8 (fma.f64 v -2 3)) w))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 w (*.f64 (*.f64 w r) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w r) (*.f64 w (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w (*.f64 w r)) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 w (*.f64 (*.f64 w r) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 v -2 3) 1/8) (*.f64 (*.f64 w (*.f64 w r)) (/.f64 r (-.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w (*.f64 (*.f64 w r) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w w) (*.f64 r (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) 2) (*.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 w (*.f64 (*.f64 w r) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v)))))) (pow.f64 (cbrt.f64 (*.f64 w (*.f64 (*.f64 w r) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 w (*.f64 (*.f64 w r) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v)))))) 2) (cbrt.f64 (*.f64 w (*.f64 (*.f64 w r) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w (sqrt.f64 r)) (*.f64 (*.f64 w (sqrt.f64 r)) (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 w (sqrt.f64 r)) (sqrt.f64 (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v))))) (*.f64 (*.f64 w (sqrt.f64 r)) (sqrt.f64 (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w (neg.f64 (*.f64 w r))) (/.f64 1 (*.f64 (/.f64 (-.f64 1 v) r) (neg.f64 (/.f64 8 (fma.f64 v -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (-.f64 1 v)) (/.f64 (*.f64 w (*.f64 w r)) (/.f64 8 (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 v -2 3) 1/8) (/.f64 r (-.f64 1 v))) (*.f64 w (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 w (*.f64 w r)) (/.f64 r (-.f64 1 v))) (*.f64 (fma.f64 v -2 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w 1) (/.f64 (*.f64 w r) (/.f64 (/.f64 8 (fma.f64 v -2 3)) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) (/.f64 (-.f64 1 v) r)) (/.f64 w (/.f64 8 (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) 1) (/.f64 w (/.f64 (/.f64 8 (fma.f64 v -2 3)) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w (/.f64 (-.f64 1 v) r)) (/.f64 (*.f64 w r) (/.f64 8 (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) 1) (/.f64 r (/.f64 (/.f64 8 (fma.f64 v -2 3)) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) 2) 1) (/.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (/.f64 (/.f64 8 (fma.f64 v -2 3)) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w (sqrt.f64 r)) 1) (/.f64 (*.f64 w (sqrt.f64 r)) (/.f64 (/.f64 8 (fma.f64 v -2 3)) (/.f64 r (-.f64 1 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w (sqrt.f64 r)) (/.f64 (-.f64 1 v) r)) (/.f64 (*.f64 w (sqrt.f64 r)) (/.f64 8 (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w (/.f64 (/.f64 8 (fma.f64 v -2 3)) (/.f64 r (-.f64 1 v)))) (*.f64 w r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) (/.f64 (-.f64 1 v) r)) (/.f64 r (/.f64 8 (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) 2) (/.f64 (-.f64 1 v) r)) (/.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (/.f64 8 (fma.f64 v -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w (cbrt.f64 (pow.f64 (/.f64 (/.f64 8 (fma.f64 v -2 3)) (/.f64 r (-.f64 1 v))) 2))) (/.f64 (*.f64 w r) (cbrt.f64 (/.f64 (/.f64 8 (fma.f64 v -2 3)) (/.f64 r (-.f64 1 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) (cbrt.f64 (pow.f64 (/.f64 (/.f64 8 (fma.f64 v -2 3)) (/.f64 r (-.f64 1 v))) 2))) (/.f64 w (cbrt.f64 (/.f64 (/.f64 8 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simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

689×	`times-frac_binary64`
630×	`associate-l_binary64`
606×	`associate-/l*_binary64`
574×	`associate-r_binary64`
571×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1652
1	358	1535
2	1341	1419

Stop Event

1×	node limit

Counts

175 → 152

Calls

Call 1

Inputs
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (+.f64 (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 (pow.f64 v 3) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2)))))
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(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
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(/.f64 8/3 r)
(+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r)))
(+.f64 (.f64 8/3 (/.f64 1 r)) (+.f64 (.f64 -16/27 (/.f64 (pow.f64 v 2) r)) (*.f64 -8/9 (/.f64 v r))))
(+.f64 (.f64 8/3 (/.f64 1 r)) (+.f64 (.f64 -16/27 (/.f64 (pow.f64 v 2) r)) (+.f64 (.f64 -8/9 (/.f64 v r)) (.f64 -32/81 (/.f64 (pow.f64 v 3) r)))))
(/.f64 4 r)
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(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 9/2 (/.f64 1 (.f64 (pow.f64 v 3) r))) (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 v 2) r))) (.f64 2 (/.f64 1 (*.f64 v r))))))
(/.f64 4 r)
(+.f64 (.f64 4 (/.f64 1 r)) (.f64 2 (/.f64 1 (*.f64 v r))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 2 (/.f64 1 (.f64 v r))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 v 2) r)))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 9/2 (/.f64 1 (.f64 (pow.f64 v 3) r))) (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 v 2) r))) (.f64 2 (/.f64 1 (*.f64 v r))))))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))

Outputs
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
(.f64 (/.f64 (fma.f64 -2 v 3) (-.f64 1 v)) (.f64 w (.f64 (.f64 (*.f64 w r) r) 1/8)))
(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
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(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
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(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
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(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
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(.f64 1/8 (/.f64 (.f64 (+.f64 3 (.f64 -2 v)) (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))
(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
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(.f64 1/8 (/.f64 (+.f64 3 (.f64 -2 v)) (/.f64 (-.f64 1 v) (.f64 (.f64 w w) (*.f64 r r)))))
(.f64 1/8 (/.f64 (fma.f64 -2 v 3) (/.f64 (/.f64 (-.f64 1 v) (.f64 r r)) (*.f64 w w))))
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(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (.f64 w w) (.f64 r r)) 3/8)
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(.f64 (.f64 w w) (.f64 3/8 (.f64 r r)))
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(fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (.f64 (.f64 1/8 v) (.f64 (.f64 (.f64 w w) (*.f64 r r)) 1)))
(fma.f64 1/8 (.f64 v (.f64 w (.f64 w (.f64 r r)))) (.f64 (.f64 w w) (.f64 (.f64 r r) 3/8)))
(.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (*.f64 1/8 v)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))))))))
(fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (+.f64 (.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) 1) (.f64 v v)) (.f64 v (.f64 (.f64 (.f64 w w) (*.f64 r r)) 1)))))
(fma.f64 1/8 (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 (.f64 v v) v)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8)))
(.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (*.f64 1/8 (fma.f64 v v v))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 v 2) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (+.f64 (.f64 1/8 (.f64 v (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))) (.f64 1/8 (.f64 (pow.f64 v 3) (-.f64 (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))))))))
(fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (fma.f64 1/8 (.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) 1) (.f64 v v)) (.f64 1/8 (+.f64 (.f64 v (.f64 (.f64 (.f64 w w) (.f64 r r)) 1)) (.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) 1) (pow.f64 v 3))))))
(fma.f64 (.f64 w (.f64 w (.f64 r r))) 3/8 (.f64 1/8 (+.f64 (.f64 (.f64 w (.f64 w (.f64 r r))) (.f64 v v)) (.f64 (.f64 w (.f64 w (*.f64 r r))) (+.f64 v (pow.f64 v 3))))))
(fma.f64 1/8 (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (fma.f64 v v v) (pow.f64 v 3))) (.f64 (.f64 w w) (.f64 3/8 (.f64 r r))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 1/4 (.f64 w w)) (.f64 r r))
(.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))
(.f64 (.f64 w w) (.f64 1/4 (.f64 r r)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (.f64 (.f64 1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4)))
(fma.f64 (.f64 r r) (.f64 w (.f64 w 1/4)) (.f64 -1/8 (/.f64 (.f64 (.f64 w r) (*.f64 w r)) v)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2)))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (fma.f64 1/4 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) (*.f64 v v)))))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (fma.f64 1/8 (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) v) (/.f64 -1 v)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))))
(fma.f64 (.f64 w w) (.f64 r (.f64 r 1/4)) (.f64 (/.f64 (.f64 w (neg.f64 (.f64 (*.f64 w r) r))) v) (+.f64 1/8 (/.f64 1/8 v))))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (.f64 1/8 (/.f64 (-.f64 (.f64 -3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (fma.f64 1/4 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (+.f64 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) (.f64 v v)) (/.f64 (.f64 (.f64 (.f64 w w) (*.f64 r r)) -1) (pow.f64 v 3))))))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (fma.f64 1/8 (+.f64 (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) v) (/.f64 -1 v)) (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 (pow.f64 v 3) -1))) (.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))))
(fma.f64 -1/8 (/.f64 r (/.f64 (pow.f64 v 3) (.f64 r (.f64 w w)))) (fma.f64 (.f64 w w) (.f64 r (.f64 r 1/4)) (.f64 (/.f64 (.f64 w (neg.f64 (.f64 (*.f64 w r) r))) v) (+.f64 1/8 (/.f64 1/8 v)))))
(.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 1/4 (.f64 w w)) (.f64 r r))
(.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))
(.f64 (.f64 w w) (.f64 1/4 (.f64 r r)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (.f64 (.f64 1/4 (.f64 w w)) (.f64 r r)))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4)))
(fma.f64 (.f64 r r) (.f64 w (.f64 w 1/4)) (.f64 -1/8 (/.f64 (.f64 (.f64 w r) (*.f64 w r)) v)))
(+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) v))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (fma.f64 1/4 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) (*.f64 v v)))))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (fma.f64 1/8 (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) v) (/.f64 -1 v)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))))
(fma.f64 (.f64 w w) (.f64 r (.f64 r 1/4)) (.f64 (/.f64 (.f64 w (neg.f64 (.f64 (*.f64 w r) r))) v) (+.f64 1/8 (/.f64 1/8 v))))
(+.f64 (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 3))) (+.f64 (.f64 1/8 (/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (pow.f64 v 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 -1/8 (/.f64 (-.f64 (.f64 3 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 2 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) v)))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) v) (fma.f64 1/4 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (+.f64 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) -1) (.f64 v v)) (/.f64 (.f64 (.f64 (.f64 w w) (*.f64 r r)) -1) (pow.f64 v 3))))))
(fma.f64 1/8 (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 v -1)) (fma.f64 1/8 (+.f64 (.f64 (/.f64 (.f64 w (.f64 w (.f64 r r))) v) (/.f64 -1 v)) (/.f64 (.f64 w (.f64 w (.f64 r r))) (/.f64 (pow.f64 v 3) -1))) (.f64 (.f64 w w) (.f64 (.f64 r r) 1/4))))
(fma.f64 -1/8 (/.f64 r (/.f64 (pow.f64 v 3) (.f64 r (.f64 w w)))) (fma.f64 (.f64 w w) (.f64 r (.f64 r 1/4)) (.f64 (/.f64 (.f64 w (neg.f64 (.f64 (*.f64 w r) r))) v) (+.f64 1/8 (/.f64 1/8 v)))))
(/.f64 8/3 r)
(+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r)))
(+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r)))
(fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))
(+.f64 (.f64 8/3 (/.f64 1 r)) (+.f64 (.f64 -16/27 (/.f64 (pow.f64 v 2) r)) (*.f64 -8/9 (/.f64 v r))))
(+.f64 (/.f64 8/3 r) (fma.f64 -16/27 (/.f64 (.f64 v v) r) (.f64 -8/9 (/.f64 v r))))
(+.f64 (/.f64 8/3 r) (fma.f64 -16/27 (/.f64 v (/.f64 r v)) (/.f64 -8/9 (/.f64 r v))))
(fma.f64 -8/9 (/.f64 v r) (fma.f64 -16/27 (/.f64 (*.f64 v v) r) (/.f64 8/3 r)))
(+.f64 (.f64 8/3 (/.f64 1 r)) (+.f64 (.f64 -16/27 (/.f64 (pow.f64 v 2) r)) (+.f64 (.f64 -8/9 (/.f64 v r)) (.f64 -32/81 (/.f64 (pow.f64 v 3) r)))))
(+.f64 (/.f64 8/3 r) (fma.f64 -16/27 (/.f64 (.f64 v v) r) (fma.f64 -8/9 (/.f64 v r) (.f64 -32/81 (/.f64 (pow.f64 v 3) r)))))
(+.f64 (/.f64 8/3 r) (fma.f64 -16/27 (/.f64 v (/.f64 r v)) (fma.f64 -32/81 (/.f64 (pow.f64 v 3) r) (/.f64 -8/9 (/.f64 r v)))))
(+.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (fma.f64 -16/27 (/.f64 (*.f64 v v) r) (/.f64 (pow.f64 v 3) (/.f64 r -32/81))))
(/.f64 4 r)
(+.f64 (.f64 4 (/.f64 1 r)) (.f64 2 (/.f64 1 (*.f64 v r))))
(+.f64 (/.f64 4 r) (/.f64 2 (*.f64 v r)))
(+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 2 (/.f64 1 (.f64 v r))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 v 2) r)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 r (*.f64 v v)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 (/.f64 2 v) r) (/.f64 3 (.f64 v (.f64 v r)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 v (*.f64 v r)))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 9/2 (/.f64 1 (.f64 (pow.f64 v 3) r))) (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 v 2) r))) (.f64 2 (/.f64 1 (*.f64 v r))))))
(+.f64 (+.f64 (/.f64 4 r) (/.f64 9/2 (.f64 r (pow.f64 v 3)))) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 r (.f64 v v)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 3 (.f64 v (.f64 v r))) (+.f64 (/.f64 (/.f64 2 v) r) (/.f64 9/2 (*.f64 r (pow.f64 v 3))))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 3 (.f64 v (.f64 v r))) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 9/2 (.f64 r (pow.f64 v 3))))))
(/.f64 4 r)
(+.f64 (.f64 4 (/.f64 1 r)) (.f64 2 (/.f64 1 (*.f64 v r))))
(+.f64 (/.f64 4 r) (/.f64 2 (*.f64 v r)))
(+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 2 (/.f64 1 (.f64 v r))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 v 2) r)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 r (*.f64 v v)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 (/.f64 2 v) r) (/.f64 3 (.f64 v (.f64 v r)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 v (*.f64 v r)))))
(+.f64 (.f64 4 (/.f64 1 r)) (+.f64 (.f64 9/2 (/.f64 1 (.f64 (pow.f64 v 3) r))) (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 v 2) r))) (.f64 2 (/.f64 1 (*.f64 v r))))))
(+.f64 (+.f64 (/.f64 4 r) (/.f64 9/2 (.f64 r (pow.f64 v 3)))) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 3 (.f64 r (.f64 v v)))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 3 (.f64 v (.f64 v r))) (+.f64 (/.f64 (/.f64 2 v) r) (/.f64 9/2 (*.f64 r (pow.f64 v 3))))))
(+.f64 (/.f64 4 r) (+.f64 (/.f64 3 (.f64 v (.f64 v r))) (+.f64 (/.f64 2 (.f64 v r)) (/.f64 9/2 (.f64 r (pow.f64 v 3))))))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))
(.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (*.f64 -2 v)) r)))
(/.f64 (.f64 8 (-.f64 1 v)) (.f64 (+.f64 3 (*.f64 -2 v)) r))
(*.f64 8 (/.f64 (/.f64 (-.f64 1 v) (fma.f64 -2 v 3)) r))
(.f64 (/.f64 8 (.f64 (fma.f64 -2 v 3) r)) (-.f64 1 v))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.9b	(/.f64 2 (*.f64 r r))

Compiler

Compiled 13 to 7 computations (46.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 w (.f64 w r))
✓	0.4b	(/.f64 8/3 r)
	0.9b	(/.f64 2 (*.f64 r r))
✓	6.0b	(/.f64 (.f64 w (.f64 w r)) (/.f64 8/3 r))

Compiler

Compiled 80 to 39 computations (51.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	w	@	0	(/.f64 (.f64 w (.f64 w r)) (/.f64 8/3 r))
0.0ms	r	@	0	(/.f64 8/3 r)
0.0ms	r	@	0	(/.f64 (.f64 w (.f64 w r)) (/.f64 8/3 r))
0.0ms	r	@	inf	(/.f64 8/3 r)
0.0ms	r	@	-inf	(/.f64 8/3 r)

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
409×	`exp-prod_binary64`
354×	`prod-exp_binary64`
305×	`pow-prod-down_binary64`
229×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	177	14
2	2520	14

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(/.f64 (.f64 w (.f64 w r)) (/.f64 8/3 r))
(/.f64 8/3 r)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 w (/.f64 1 (/.f64 8/3 (*.f64 (*.f64 w r) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 w (*.f64 (*.f64 w r) (*.f64 r 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (*.f64 w r) (/.f64 8/3 w)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w r) (*.f64 w (*.f64 r 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w (*.f64 w r)) (*.f64 r 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w w) (*.f64 r (*.f64 r 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)) 2) (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 w (sqrt.f64 r)) 4)) (*.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (*.f64 r 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)) (sqrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w (sqrt.f64 r)) (*.f64 (*.f64 w (sqrt.f64 r)) (*.f64 r 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 w (neg.f64 (*.f64 w r))) (/.f64 1 (/.f64 -8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r 3/8) (*.f64 w (*.f64 w r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) (/.f64 8/3 w)) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w 8/3) (/.f64 (*.f64 w r) (pow.f64 r -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) 8/3) (/.f64 w (pow.f64 r -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/8 (/.f64 (*.f64 w (*.f64 w r)) (pow.f64 r -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) 8/3) (*.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 w (sqrt.f64 r)) 4)) 8/3) (/.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (pow.f64 r -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w (sqrt.f64 r)) 8/3) (/.f64 (*.f64 w (sqrt.f64 r)) (pow.f64 r -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w 1) (/.f64 (*.f64 w r) (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) 1) (/.f64 w (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w (/.f64 8/3 r)) (*.f64 w r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) 1) (/.f64 r (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 w (sqrt.f64 r)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w (sqrt.f64 r)) 1) (/.f64 (*.f64 w (sqrt.f64 r)) (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w (pow.f64 (cbrt.f64 (/.f64 8/3 r)) 2)) (/.f64 (*.f64 w r) (cbrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) (pow.f64 (cbrt.f64 (/.f64 8/3 r)) 2)) (/.f64 w (cbrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 r)) -2) (/.f64 (*.f64 w (*.f64 w r)) (cbrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) (pow.f64 (cbrt.f64 (/.f64 8/3 r)) 2)) (/.f64 r (cbrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 w (sqrt.f64 r)) 4)) (pow.f64 (cbrt.f64 (/.f64 8/3 r)) 2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w (sqrt.f64 r)) (pow.f64 (cbrt.f64 (/.f64 8/3 r)) 2)) (/.f64 (*.f64 w (sqrt.f64 r)) (cbrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 w (sqrt.f64 (/.f64 8/3 r))) (/.f64 (*.f64 w r) (sqrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w r) (sqrt.f64 (/.f64 8/3 r))) (/.f64 w (sqrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 8/3 r) -1/2) (/.f64 (*.f64 w (*.f64 w r)) (sqrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w w) (sqrt.f64 (/.f64 8/3 r))) (/.f64 r (sqrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 w (sqrt.f64 r)) 4)) (sqrt.f64 (/.f64 8/3 r))) (/.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (sqrt.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w (*.f64 w r)) 1) (*.f64 r 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w (*.f64 w r)) -8/3) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 w r) (/.f64 8/3 w)) 1) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 w r) (/.f64 8/3 w)) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 w r) (/.f64 8/3 w)) (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 (pow.f64 (*.f64 w r) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 w (sqrt.f64 r)) 6) (pow.f64 (/.f64 8/3 r) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 8/3 (pow.f64 (*.f64 w r) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 w (*.f64 w r)) (/.f64 -8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 w (sqrt.f64 r)) 6) (pow.f64 (/.f64 8/3 r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 (pow.f64 (*.f64 w r) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 w r) 2) 8/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 w) 1) (log.f64 (/.f64 8/3 (*.f64 (*.f64 w r) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 w (*.f64 w r))) 1) (log.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 w (*.f64 w r))) (*.f64 (log.f64 (/.f64 8/3 r)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 w (*.f64 w r))) 1) (*.f64 (log.f64 (/.f64 8/3 r)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 r) 1) (log.f64 (/.f64 (*.f64 w r) (/.f64 8/3 w)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 w (*.f64 w r))) 1) (log.f64 (*.f64 r 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 r 3/8)) (*.f64 (log.f64 (*.f64 w (*.f64 w r))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 w r) (/.f64 8/3 w))) (*.f64 (log.f64 r) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 r))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 r)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (pow.f64 r -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8/3 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/3 r)) (pow.f64 (cbrt.f64 (/.f64 8/3 r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 r)) 2) (cbrt.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 8/3 r)) (sqrt.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8/3 (/.f64 1 (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 r -1) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 64/9 (*.f64 r r)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/3 r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 r 3/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 8/3 r))) 2)) (cbrt.f64 (log.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 8/3 r)))) (sqrt.f64 (log.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64/9 (*.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/3 r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 8/3 r) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 r))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 8/3 r))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 r 3/8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 8/3 r)) 1) 1))))))

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

900×	`unswap-sqr_binary64`
743×	`cube-prod_binary64`
704×	`fabs-mul_binary64`
700×	`sqr-pow_binary64`
336×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	312
1	21	312
2	53	312
3	173	312
4	810	312
5	1379	312
6	1444	312
7	1544	312
8	1664	312
9	1786	312
10	1933	312
11	3393	312
12	3622	312
13	3918	312
14	4249	312
15	4662	312
16	5276	312
17	6051	312
18	6543	312
19	6927	312
20	7355	312
21	7761	312

Stop Event

1×	node limit

Counts

141 → 119

Calls

Call 1

Inputs
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))

Outputs
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 3/8 (.f64 w w)) (.f64 r r))
(.f64 3/8 (.f64 (.f64 w r) (.f64 w r)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -8/9 (/.f64 v r))
✓	0.4b	(*.f64 8/3 (/.f64 1 r))
	0.9b	(/.f64 2 (*.f64 r r))
✓	5.1b	(/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r))))

Compiler

Compiled 131 to 70 computations (46.6% saved)

series12.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	r	@	0	(/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r))))
2.0ms	w	@	0	(/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r))))
1.0ms	r	@	-inf	(/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r))))
1.0ms	r	@	inf	(/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r))))
1.0ms	v	@	0	(/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r))))

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`log-prod_binary64`
321×	`fma-def_binary64`
284×	`expm1-udef_binary64`
284×	`log1p-udef_binary64`
234×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	327	31
2	4502	31

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs
(/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (.f64 -8/9 (/.f64 v r))))
(*.f64 8/3 (/.f64 1 r))
(*.f64 -8/9 (/.f64 v r))

Outputs

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8/3 r)))) (/.f64 (cbrt.f64 (*.f64 w (*.f64 w r))) (sqrt.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w (*.f64 w r)) (fma.f64 (pow.f64 (/.f64 v r) 3) -512/729 (/.f64 512/27 (pow.f64 r 3)))) (fma.f64 (*.f64 -8/9 (/.f64 v r)) (fma.f64 -8/9 (/.f64 v r) (neg.f64 (/.f64 8/3 r))) (*.f64 64/9 (pow.f64 r -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 w (*.f64 w r)) (-.f64 (*.f64 64/9 (pow.f64 r -2)) (*.f64 (pow.f64 (/.f64 v r) 2) 64/81))) (/.f64 (-.f64 8/3 (*.f64 -8/9 v)) r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))) 3)))) (#(struct:change #<rule egg-rr> (2) 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(pow.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 r))) (cbrt.f64 (exp.f64 (/.f64 8/3 r))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 r)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 r)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 r 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8/3 (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8/3 (cbrt.f64 (*.f64 r r))) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8/3 (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 512/27 (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 64/9 (pow.f64 r -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 512/27 (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 r)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -8/9 (/.f64 v r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -8/9) (/.f64 v r))) (cbrt.f64 (pow.f64 (exp.f64 -8/9) (/.f64 v r))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -8/9) (/.f64 v r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -8/9) (/.f64 v r)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -8/9) (/.f64 v r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -8/9 (/.f64 v r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 r (*.f64 -8/9 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8/9 (/.f64 r v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/9 v) r)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -8/9 v)) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -8/9 v) 1) r)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -8/9 v) (cbrt.f64 (*.f64 r r))) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -8/9 v) (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 v) -8/9) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/9 (neg.f64 v)) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/9 (/.f64 v r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -8/9 (/.f64 v r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -8/9 (/.f64 v r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 v r) 3) -512/729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 v r) 2) 64/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -8/9) (/.f64 v r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -8/9 (/.f64 v r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 v r) 3) -512/729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -8/9 (/.f64 v r))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -8/9 (/.f64 v r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -8/9 (/.f64 v r))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -8/9 (/.f64 v r))) 1))))))

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-/r/_binary64`
605×	`distribute-rgt-out_binary64`
548×	`associate-/l/_binary64`
455×	`unswap-sqr_binary64`
448×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1053
1	184	975
2	602	858
3	3591	823

Stop Event

1×	node limit

Counts

146 → 120

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 (*.f64 8/9 v) 8/3)))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 (*.f64 8/9 v) 8/3)))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 (*.f64 8/9 v) 8/3)))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 (*.f64 8/9 v) 8/3)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 v 2) (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 1/8 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2))))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 v 2) (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (+.f64 (.f64 1/8 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 1/72 (.f64 (pow.f64 v 3) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))
(+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)))
(+.f64 (.f64 -81/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))))
(+.f64 (.f64 -81/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (.f64 -243/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 4))))))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))
(+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)))
(+.f64 (.f64 -81/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))))
(+.f64 (.f64 -81/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (.f64 -243/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 4))))))
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)

Outputs
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) r) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))
(/.f64 (.f64 (.f64 w w) r) (+.f64 (/.f64 8/3 r) (*.f64 -8/9 (/.f64 v r))))
(/.f64 r (/.f64 (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)) (*.f64 w w)))
(/.f64 (.f64 w (.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))
(.f64 (/.f64 r (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r))) (.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 w w) (/.f64 (+.f64 8/3 (.f64 -8/9 v)) (*.f64 r r)))
(/.f64 (.f64 r r) (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w w)))
(/.f64 r (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w (.f64 w r))))
(.f64 (/.f64 (.f64 r r) (fma.f64 -8/9 v 8/3)) (*.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 w w) (/.f64 (+.f64 8/3 (.f64 -8/9 v)) (*.f64 r r)))
(/.f64 (.f64 r r) (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w w)))
(/.f64 r (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w (.f64 w r))))
(.f64 (/.f64 (.f64 r r) (fma.f64 -8/9 v 8/3)) (*.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 w w) (/.f64 (+.f64 8/3 (.f64 -8/9 v)) (*.f64 r r)))
(/.f64 (.f64 r r) (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w w)))
(/.f64 r (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w (.f64 w r))))
(.f64 (/.f64 (.f64 r r) (fma.f64 -8/9 v 8/3)) (*.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 w w) (/.f64 (+.f64 8/3 (.f64 -8/9 v)) (*.f64 r r)))
(/.f64 (.f64 r r) (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w w)))
(/.f64 r (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w (.f64 w r))))
(.f64 (/.f64 (.f64 r r) (fma.f64 -8/9 v 8/3)) (*.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 w w) (/.f64 (+.f64 8/3 (.f64 -8/9 v)) (*.f64 r r)))
(/.f64 (.f64 r r) (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w w)))
(/.f64 r (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w (.f64 w r))))
(.f64 (/.f64 (.f64 r r) (fma.f64 -8/9 v 8/3)) (*.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 w w) (/.f64 (+.f64 8/3 (.f64 -8/9 v)) (*.f64 r r)))
(/.f64 (.f64 r r) (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w w)))
(/.f64 r (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w (.f64 w r))))
(.f64 (/.f64 (.f64 r r) (fma.f64 -8/9 v 8/3)) (*.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 w w) (/.f64 (+.f64 8/3 (.f64 -8/9 v)) (*.f64 r r)))
(/.f64 (.f64 r r) (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w w)))
(/.f64 r (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w (.f64 w r))))
(.f64 (/.f64 (.f64 r r) (fma.f64 -8/9 v 8/3)) (*.f64 w w))
(/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (+.f64 8/3 (.f64 -8/9 v)))
(/.f64 (.f64 w w) (/.f64 (+.f64 8/3 (.f64 -8/9 v)) (*.f64 r r)))
(/.f64 (.f64 r r) (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w w)))
(/.f64 r (/.f64 (fma.f64 -8/9 v 8/3) (.f64 w (.f64 w r))))
(.f64 (/.f64 (.f64 r r) (fma.f64 -8/9 v 8/3)) (*.f64 w w))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 (*.f64 8/9 v) 8/3)))
(neg.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r r)) (fma.f64 8/9 v -8/3)))
(/.f64 (neg.f64 (.f64 w w)) (/.f64 (fma.f64 v 8/9 -8/3) (.f64 r r)))
(.f64 (/.f64 (.f64 w (neg.f64 w)) (fma.f64 v 8/9 -8/3)) (*.f64 r r))
(.f64 (.f64 r r) (/.f64 (neg.f64 w) (/.f64 (fma.f64 v 8/9 -8/3) w)))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 (*.f64 8/9 v) 8/3)))
(neg.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r r)) (fma.f64 8/9 v -8/3)))
(/.f64 (neg.f64 (.f64 w w)) (/.f64 (fma.f64 v 8/9 -8/3) (.f64 r r)))
(.f64 (/.f64 (.f64 w (neg.f64 w)) (fma.f64 v 8/9 -8/3)) (*.f64 r r))
(.f64 (.f64 r r) (/.f64 (neg.f64 w) (/.f64 (fma.f64 v 8/9 -8/3) w)))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 (*.f64 8/9 v) 8/3)))
(neg.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r r)) (fma.f64 8/9 v -8/3)))
(/.f64 (neg.f64 (.f64 w w)) (/.f64 (fma.f64 v 8/9 -8/3) (.f64 r r)))
(.f64 (/.f64 (.f64 w (neg.f64 w)) (fma.f64 v 8/9 -8/3)) (*.f64 r r))
(.f64 (.f64 r r) (/.f64 (neg.f64 w) (/.f64 (fma.f64 v 8/9 -8/3) w)))
(.f64 -1 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 (*.f64 8/9 v) 8/3)))
(neg.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r r)) (fma.f64 8/9 v -8/3)))
(/.f64 (neg.f64 (.f64 w w)) (/.f64 (fma.f64 v 8/9 -8/3) (.f64 r r)))
(.f64 (/.f64 (.f64 w (neg.f64 w)) (fma.f64 v 8/9 -8/3)) (*.f64 r r))
(.f64 (.f64 r r) (/.f64 (neg.f64 w) (/.f64 (fma.f64 v 8/9 -8/3) w)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (.f64 w w) (.f64 r r)) 3/8)
(.f64 (.f64 3/8 r) (.f64 w (.f64 w r)))
(.f64 (.f64 (.f64 w r) (.f64 w r)) 3/8)
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (.f64 1/8 (.f64 v (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))
(fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (.f64 v (.f64 (.f64 w w) (.f64 r r)))))
(.f64 (.f64 (.f64 w w) (.f64 r r)) (+.f64 3/8 (*.f64 v 1/8)))
(.f64 (.f64 w w) (.f64 (.f64 r r) (fma.f64 v 1/8 3/8)))
(.f64 (.f64 w w) (.f64 r (.f64 r (fma.f64 v 1/8 3/8))))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 v 2) (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 1/8 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2))))))
(fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (fma.f64 1/24 (.f64 (.f64 (.f64 v v) (.f64 w w)) (.f64 r r)) (.f64 1/8 (.f64 v (.f64 (.f64 w w) (*.f64 r r))))))
(fma.f64 (.f64 (.f64 w w) (.f64 r r)) 3/8 (.f64 (.f64 (.f64 w w) (.f64 r r)) (+.f64 (.f64 v 1/8) (.f64 1/24 (.f64 v v)))))
(.f64 (.f64 w (.f64 r (.f64 w r))) (+.f64 (.f64 v (+.f64 (.f64 v 1/24) 1/8)) 3/8))
(.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (.f64 v (+.f64 (.f64 v 1/24) 1/8)) 3/8))
(+.f64 (.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 v 2) (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (+.f64 (.f64 1/8 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2)))) (.f64 1/72 (.f64 (pow.f64 v 3) (*.f64 (pow.f64 w 2) (pow.f64 r 2)))))))
(fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (fma.f64 1/24 (.f64 (.f64 (.f64 v v) (.f64 w w)) (.f64 r r)) (fma.f64 1/8 (.f64 v (.f64 (.f64 w w) (.f64 r r))) (.f64 1/72 (.f64 (.f64 (.f64 w w) (*.f64 r r)) (pow.f64 v 3))))))
(+.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) (+.f64 (.f64 v 1/8) (.f64 1/72 (pow.f64 v 3)))) (.f64 (.f64 (.f64 w w) (.f64 r r)) (+.f64 3/8 (.f64 1/24 (.f64 v v)))))
(.f64 (.f64 w (.f64 r (.f64 w r))) (+.f64 (fma.f64 1/72 (pow.f64 v 3) (.f64 v 1/8)) (+.f64 3/8 (.f64 1/24 (*.f64 v v)))))
(.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (.f64 (.f64 v v) (+.f64 (*.f64 v 1/72) 1/24)) (fma.f64 v 1/8 3/8)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))
(.f64 -9/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) v))
(.f64 -9/8 (/.f64 (.f64 w w) (/.f64 (/.f64 v r) r)))
(/.f64 (.f64 (.f64 -9/8 r) (.f64 w (.f64 w r))) v)
(.f64 (/.f64 -9/8 v) (.f64 (.f64 w r) (.f64 w r)))
(+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)))
(fma.f64 -27/8 (/.f64 (.f64 w w) (/.f64 (.f64 v v) (.f64 r r))) (.f64 -9/8 (/.f64 (.f64 (.f64 w w) (*.f64 r r)) v)))
(fma.f64 -9/8 (/.f64 (.f64 w w) (/.f64 (/.f64 v r) r)) (/.f64 (.f64 -27/8 (.f64 w w)) (.f64 (/.f64 v r) (/.f64 v r))))
(.f64 (.f64 (*.f64 r r) (/.f64 w (/.f64 v w))) (+.f64 -9/8 (/.f64 -27/8 v)))
(.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) w)) (+.f64 -9/8 (/.f64 -27/8 v)))
(+.f64 (.f64 -81/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))))
(fma.f64 -81/8 (/.f64 (.f64 w w) (/.f64 (pow.f64 v 3) (.f64 r r))) (fma.f64 -27/8 (/.f64 (.f64 w w) (/.f64 (.f64 v v) (.f64 r r))) (.f64 -9/8 (/.f64 (.f64 (.f64 w w) (*.f64 r r)) v))))
(fma.f64 -81/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (pow.f64 v 3)) (fma.f64 -9/8 (/.f64 (.f64 w w) (/.f64 (/.f64 v r) r)) (/.f64 (.f64 -27/8 (.f64 w w)) (*.f64 (/.f64 v r) (/.f64 v r)))))
(fma.f64 -9/8 (.f64 (.f64 r r) (/.f64 w (/.f64 v w))) (.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) (/.f64 w v))) (+.f64 (/.f64 -81/8 v) -27/8)))
(.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) w)) (+.f64 -9/8 (+.f64 (/.f64 -81/8 (*.f64 v v)) (/.f64 -27/8 v))))
(+.f64 (.f64 -81/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (.f64 -243/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 4))))))
(fma.f64 -81/8 (/.f64 (.f64 w w) (/.f64 (pow.f64 v 3) (.f64 r r))) (fma.f64 -27/8 (/.f64 (.f64 w w) (/.f64 (.f64 v v) (.f64 r r))) (fma.f64 -9/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) v) (.f64 -243/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (pow.f64 v 4))))))
(fma.f64 -81/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (pow.f64 v 3)) (fma.f64 -27/8 (.f64 (/.f64 (.f64 w w) (.f64 v v)) (.f64 r r)) (fma.f64 -9/8 (/.f64 (.f64 w w) (/.f64 (/.f64 v r) r)) (.f64 -243/8 (.f64 (/.f64 (.f64 w w) (pow.f64 v 4)) (.f64 r r))))))
(+.f64 (.f64 (.f64 (.f64 r r) (/.f64 w (/.f64 v w))) (+.f64 -9/8 (/.f64 -27/8 v))) (.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) (/.f64 w v))) (+.f64 (/.f64 -243/8 (.f64 v v)) (/.f64 -81/8 v))))
(+.f64 (.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) w)) (+.f64 -9/8 (/.f64 -27/8 v))) (.f64 (.f64 (/.f64 r (pow.f64 v 3)) (.f64 w (.f64 w r))) (+.f64 -81/8 (/.f64 -243/8 v))))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))
(.f64 -9/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) v))
(.f64 -9/8 (/.f64 (.f64 w w) (/.f64 (/.f64 v r) r)))
(/.f64 (.f64 (.f64 -9/8 r) (.f64 w (.f64 w r))) v)
(.f64 (/.f64 -9/8 v) (.f64 (.f64 w r) (.f64 w r)))
(+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)))
(fma.f64 -27/8 (/.f64 (.f64 w w) (/.f64 (.f64 v v) (.f64 r r))) (.f64 -9/8 (/.f64 (.f64 (.f64 w w) (*.f64 r r)) v)))
(fma.f64 -9/8 (/.f64 (.f64 w w) (/.f64 (/.f64 v r) r)) (/.f64 (.f64 -27/8 (.f64 w w)) (.f64 (/.f64 v r) (/.f64 v r))))
(.f64 (.f64 (*.f64 r r) (/.f64 w (/.f64 v w))) (+.f64 -9/8 (/.f64 -27/8 v)))
(.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) w)) (+.f64 -9/8 (/.f64 -27/8 v)))
(+.f64 (.f64 -81/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v))))
(fma.f64 -81/8 (/.f64 (.f64 w w) (/.f64 (pow.f64 v 3) (.f64 r r))) (fma.f64 -27/8 (/.f64 (.f64 w w) (/.f64 (.f64 v v) (.f64 r r))) (.f64 -9/8 (/.f64 (.f64 (.f64 w w) (*.f64 r r)) v))))
(fma.f64 -81/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (pow.f64 v 3)) (fma.f64 -9/8 (/.f64 (.f64 w w) (/.f64 (/.f64 v r) r)) (/.f64 (.f64 -27/8 (.f64 w w)) (*.f64 (/.f64 v r) (/.f64 v r)))))
(fma.f64 -9/8 (.f64 (.f64 r r) (/.f64 w (/.f64 v w))) (.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) (/.f64 w v))) (+.f64 (/.f64 -81/8 v) -27/8)))
(.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) w)) (+.f64 -9/8 (+.f64 (/.f64 -81/8 (*.f64 v v)) (/.f64 -27/8 v))))
(+.f64 (.f64 -81/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 3))) (+.f64 (.f64 -27/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 2))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) v)) (.f64 -243/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (pow.f64 v 4))))))
(fma.f64 -81/8 (/.f64 (.f64 w w) (/.f64 (pow.f64 v 3) (.f64 r r))) (fma.f64 -27/8 (/.f64 (.f64 w w) (/.f64 (.f64 v v) (.f64 r r))) (fma.f64 -9/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) v) (.f64 -243/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (pow.f64 v 4))))))
(fma.f64 -81/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (pow.f64 v 3)) (fma.f64 -27/8 (.f64 (/.f64 (.f64 w w) (.f64 v v)) (.f64 r r)) (fma.f64 -9/8 (/.f64 (.f64 w w) (/.f64 (/.f64 v r) r)) (.f64 -243/8 (.f64 (/.f64 (.f64 w w) (pow.f64 v 4)) (.f64 r r))))))
(+.f64 (.f64 (.f64 (.f64 r r) (/.f64 w (/.f64 v w))) (+.f64 -9/8 (/.f64 -27/8 v))) (.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) (/.f64 w v))) (+.f64 (/.f64 -243/8 (.f64 v v)) (/.f64 -81/8 v))))
(+.f64 (.f64 (.f64 (.f64 r r) (.f64 (/.f64 w v) w)) (+.f64 -9/8 (/.f64 -27/8 v))) (.f64 (.f64 (/.f64 r (pow.f64 v 3)) (.f64 w (.f64 w r))) (+.f64 -81/8 (/.f64 -243/8 v))))
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)
(/.f64 8/3 r)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 r -2) 2)
✓	0.0b	(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
✓	0.2b	(.f64 (.f64 r r) 3/8)
✓	20.7b	(.f64 (.f64 w w) (.f64 (.f64 r r) 3/8))

Compiler

Compiled 81 to 49 computations (39.5% saved)

series20.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	r	@	inf	(.f64 (.f64 w w) (.f64 (.f64 r r) 3/8))
0.0ms	r	@	inf	(.f64 (.f64 r r) 3/8)
0.0ms	w	@	inf	(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
0.0ms	r	@	0	(.f64 (.f64 r r) 3/8)
0.0ms	r	@	0	(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`fma-def_binary64`
398×	`fma-neg_binary64`
327×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
260×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	391	45
2	5162	45

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(.f64 (.f64 w w) (.f64 (.f64 r r) 3/8))
(.f64 (.f64 r r) 3/8)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(*.f64 (pow.f64 r -2) 2)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 r r) 3/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 r r) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 r r) 3/8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 r r) 3/8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 r (sqrt.f64 3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9/64 (pow.f64 r 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/8) (.f64 r r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 r r) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 r r) 3/8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 r r) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 r r) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 r r) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 r r) 3/8)) 1))))))
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((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 w r) 2) -3/8 (fma.f64 (pow.f64 r -2) 2 3))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 w r) 2) -3/8 (fma.f64 (pow.f64 r -2) 2 3))) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 r -2) 2 3)) (sqrt.f64 (fma.f64 (pow.f64 r -2) 2 3)) (neg.f64 (fma.f64 3/8 (pow.f64 (.f64 w r) 2) 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 r -2) 2 3)) (sqrt.f64 (fma.f64 (pow.f64 r -2) 2 3)) (fma.f64 (pow.f64 (.f64 w r) 2) -3/8 -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 r) (.f64 (/.f64 1 r) 2) (-.f64 3 (fma.f64 3/8 (pow.f64 (.f64 w r) 2) 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 2) (/.f64 1 r)) (.f64 (sqrt.f64 2) (/.f64 1 r)) (-.f64 3 (fma.f64 3/8 (pow.f64 (.f64 w r) 2) 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 r -2) 2 3) 3) (pow.f64 (.f64 3/8 (pow.f64 (.f64 w r) 2)) 3)) (/.f64 1 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (.f64 4 (pow.f64 r -4))) (/.f64 1 (+.f64 3 (.f64 -2 (pow.f64 r -2)))) (fma.f64 (pow.f64 (.f64 w r) 2) -3/8 -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (pow.f64 r -2) 2 3)) (.f64 w (.f64 r (sqrt.f64 3/8)))) (-.f64 (sqrt.f64 (fma.f64 (pow.f64 r -2) 2 3)) (.f64 w (.f64 r (sqrt.f64 3/8)))) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (cbrt.f64 (pow.f64 r -4))) (cbrt.f64 (pow.f64 r -2)) (-.f64 3 (fma.f64 3/8 (pow.f64 (.f64 w r) 2) 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (/.f64 1 r)) (/.f64 1 r) (-.f64 3 (fma.f64 3/8 (pow.f64 (*.f64 w r) 2) 9/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 r -2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 r -2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 r -2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (/.f64 1 r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8 (pow.f64 (pow.f64 r -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4 (pow.f64 r -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 r -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 r -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 8 (pow.f64 (pow.f64 r -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 r -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 r -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -2 (log.f64 r) (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -2 (log.f64 r) (log1p.f64 1)) 1))))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

913×	`distribute-rgt-neg-in_binary64`
733×	`distribute-lft-neg-in_binary64`
578×	`distribute-neg-frac_binary64`
440×	`fma-def_binary64`
378×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	932
1	50	932
2	111	932
3	327	932
4	1445	932
5	2773	932
6	5226	932

Stop Event

1×	node limit

Counts

180 → 122

Calls

Call 1

Inputs
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(*.f64 3/8 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 r 2))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 r 2))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (pow.f64 r 2))

Outputs
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 3/8 (.f64 (.f64 w w) (.f64 r r)))
(.f64 3/8 (.f64 (.f64 r w) (.f64 r w)))
(.f64 r (.f64 (.f64 w w) (.f64 3/8 r)))
(.f64 w (.f64 3/8 (.f64 w (.f64 r r))))
(.f64 3/8 (.f64 w (.f64 w (.f64 r r))))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(*.f64 3/8 (pow.f64 r 2))
(.f64 3/8 (.f64 r r))
(.f64 r (.f64 r 3/8))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 r 2))) 3/2)
(+.f64 (/.f64 2 (*.f64 r r)) -3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (.f64 w w) (.f64 r r)) -3/8)
(.f64 (.f64 w w) (.f64 (.f64 r r) -3/8))
(.f64 w (.f64 w (.f64 r (.f64 r -3/8))))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(-.f64 (.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -3/8 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 (.f64 (.f64 r w) (*.f64 r w)) -3/8 -3/2)
(fma.f64 (.f64 w w) (.f64 r (*.f64 r -3/8)) -3/2)
(fma.f64 w (.f64 w (.f64 r (*.f64 r -3/8))) -3/2)
(fma.f64 (.f64 w r) (.f64 w (*.f64 r -3/8)) -3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (.f64 w w) (.f64 r r)) -3/8)
(.f64 (.f64 w w) (.f64 (.f64 r r) -3/8))
(.f64 w (.f64 w (.f64 r (.f64 r -3/8))))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(-.f64 (.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2))) 3/2)
(fma.f64 -3/8 (.f64 (.f64 w w) (*.f64 r r)) -3/2)
(fma.f64 (.f64 (.f64 r w) (*.f64 r w)) -3/8 -3/2)
(fma.f64 (.f64 w w) (.f64 r (*.f64 r -3/8)) -3/2)
(fma.f64 w (.f64 w (.f64 r (*.f64 r -3/8))) -3/2)
(fma.f64 (.f64 w r) (.f64 w (*.f64 r -3/8)) -3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 r 2))) 3/2)
(+.f64 (/.f64 2 (*.f64 r r)) -3/2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (.f64 w w) (.f64 r r)) -3/8)
(.f64 (.f64 w w) (.f64 (.f64 r r) -3/8))
(.f64 w (.f64 w (.f64 r (.f64 r -3/8))))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(.f64 -3/8 (.f64 (pow.f64 w 2) (pow.f64 r 2)))
(.f64 (.f64 (.f64 w w) (.f64 r r)) -3/8)
(.f64 (.f64 w w) (.f64 (.f64 r r) -3/8))
(.f64 w (.f64 w (.f64 r (.f64 r -3/8))))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 -3/8 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 3/2)
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 -3/8 (.f64 (.f64 w w) (.f64 r r)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 r w) (.f64 r w)) -3/8 -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 r (.f64 r -3/8)) -3/2))
(+.f64 (/.f64 2 (.f64 r r)) (fma.f64 w (.f64 w (.f64 r (.f64 r -3/8))) -3/2))
(-.f64 (fma.f64 (.f64 w r) (.f64 w (.f64 r -3/8)) -3/2) (/.f64 -2 (.f64 r r)))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))
(/.f64 2 (pow.f64 r 2))
(/.f64 2 (*.f64 r r))

eval307.0ms (2.2%)

Compiler: Compiled 18369 to 11958 computations (34.9% saved)

prune125.0ms (0.9%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	655	10	665
Fresh	9	12	21
Picked	1	0	1
Done	3	5	8
Total	668	27	695

Error

Counts

695 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	11.9b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (*.f64 w w) r)))) 9/2)
	10.9b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2)
	15.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
	18.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
	8.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)
	19.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 r r) (*.f64 1/4 w)))) 9/2)
✓	21.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
	34.3b	(fma.f64 (.f64 w r) (.f64 w (*.f64 r -3/8)) -3/2)
	34.8b	(fma.f64 (.f64 (.f64 w r) (*.f64 w -1/4)) r -3/2)
	44.5b	-3/2
	9.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
	11.1b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w r) (*.f64 r 3/8)))) 9/2)
	3.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) (.f64 v -2)) (.f64 (.f64 w (.f64 (*.f64 w r) 1/8)) 3)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	8.2b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 -2 v)) r))))) 9/2)
	58.3b	(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
✓	1.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3))))) 9/2)
✓	1.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (.f64 (fma.f64 v -2 3) 1/8)))) 9/2)
	37.6b	(*.f64 (pow.f64 r -2) 2)
	24.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (.f64 v (+.f64 (*.f64 v 1/24) 1/8)) 3/8))) 9/2)
	18.8b	(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
✓	37.7b	(/.f64 2 (*.f64 r r))
✓	37.7b	(/.f64 (/.f64 2 r) r)
	34.4b	(+.f64 (.f64 (pow.f64 (.f64 w r) 2) -1/4) -3/2)
	9.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (/.f64 8/3 r) (.f64 -8/9 (/.f64 v r))))) 9/2)
	16.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 v (.f64 (.f64 -1/4 (.f64 w w)) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	51.6b	(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
	4.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w r) (fma.f64 1/8 (*.f64 v -2) 3/8))) (/.f64 (-.f64 1 v) r))) 9/2)

Compiler

Compiled 573 to 415 computations (27.6% saved)

regimes197.0ms (1.4%)

Counts

65 → 1

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (*.f64 w w) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w r) (*.f64 r 3/8)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 w (.f64 r (*.f64 r 3/8))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 8/3 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 r r) (*.f64 1/4 w)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (/.f64 8/3 r) (.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r 3/8)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (.f64 v (+.f64 (*.f64 v 1/24) 1/8)) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 v (.f64 (.f64 -1/4 (.f64 w w)) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 -2 v)) r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) (.f64 v -2)) (.f64 (.f64 w (.f64 (*.f64 w r) 1/8)) 3)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(*.f64 (pow.f64 r -2) 2)
(+.f64 (.f64 (pow.f64 (.f64 w r) 2) -1/4) -3/2)
(fma.f64 (.f64 w r) (.f64 w (*.f64 r -3/8)) -3/2)
(fma.f64 (.f64 (.f64 w r) (*.f64 w -1/4)) r -3/2)
(fma.f64 w (.f64 w (.f64 (*.f64 r r) -1/4)) -3/2)
(-.f64 (fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) (.f64 w (.f64 w (*.f64 r r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 (fma.f64 v -1/4 3/8) (.f64 w r)) (*.f64 w r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (pow.f64 (*.f64 w r) 2)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (.f64 (fma.f64 v -2 3) 1/8)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 (/.f64 8 (fma.f64 v -2 3)) (.f64 w (*.f64 w r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w r) (fma.f64 1/8 (*.f64 v -2) 3/8))) (/.f64 (-.f64 1 v) r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (/.f64 w (/.f64 1 (.f64 (.f64 w r) (fma.f64 1/8 (*.f64 v -2) 3/8)))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (.f64 w r) (.f64 w r)) 3/2))
(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (neg.f64 v) (*.f64 r r))) w) 3/2))
(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 (fma.f64 v -1/4 3/8) (*.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (.f64 (.f64 w (/.f64 r (-.f64 1 v))) r) w) 3/2))
(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
(-.f64 (.f64 (/.f64 2 r) (/.f64 1 r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (.f64 w r) 2))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (pow.f64 (cbrt.f64 (.f64 w (*.f64 w r))) 3) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 w r) 2) 1/8) (fma.f64 v -2 3)) (-.f64 1 (.f64 v v))) (+.f64 v 1))) 9/2)
(-.f64 (.f64 (pow.f64 r -2) 2) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 w (.f64 w r))) 3) (.f64 1/8 (fma.f64 v -2 3))) 1) (/.f64 r (-.f64 1 v)))) 9/2)

Outputs
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (.f64 w r) 2))))) 9/2)

Calls

9 calls:

27.0ms	v
27.0ms	r
26.0ms	w
15.0ms	(*.f64 w w)
14.0ms	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)

Results

Error	Segments	Branch
0.3b	1	`v`
0.3b	1	`w`
0.3b	1	`r`
0.3b	1	`(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)`
0.3b	1	`(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)`
0.3b	1	`(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v)))`
0.3b	1	`(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v)))`
0.3b	1	`(*.f64 w w)`
0.3b	1	`(*.f64 w w)`

Compiler

Compiled 1559 to 962 computations (38.3% saved)

regimes254.0ms (1.9%)

Counts

60 → 1

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (*.f64 w w) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w r) (*.f64 r 3/8)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 w (.f64 r (*.f64 r 3/8))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 8/3 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 r r) (*.f64 1/4 w)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (/.f64 8/3 r) (.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r 3/8)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (.f64 v (+.f64 (*.f64 v 1/24) 1/8)) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 v (.f64 (.f64 -1/4 (.f64 w w)) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 -2 v)) r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) (.f64 v -2)) (.f64 (.f64 w (.f64 (*.f64 w r) 1/8)) 3)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(*.f64 (pow.f64 r -2) 2)
(+.f64 (.f64 (pow.f64 (.f64 w r) 2) -1/4) -3/2)
(fma.f64 (.f64 w r) (.f64 w (*.f64 r -3/8)) -3/2)
(fma.f64 (.f64 (.f64 w r) (*.f64 w -1/4)) r -3/2)
(fma.f64 w (.f64 w (.f64 (*.f64 r r) -1/4)) -3/2)
(-.f64 (fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) (.f64 w (.f64 w (*.f64 r r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 (fma.f64 v -1/4 3/8) (.f64 w r)) (*.f64 w r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (pow.f64 (*.f64 w r) 2)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (.f64 (fma.f64 v -2 3) 1/8)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 (/.f64 8 (fma.f64 v -2 3)) (.f64 w (*.f64 w r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w r) (fma.f64 1/8 (*.f64 v -2) 3/8))) (/.f64 (-.f64 1 v) r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 (/.f64 (-.f64 1 v) r) (/.f64 8 (fma.f64 v -2 3))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w (.f64 w r)) (.f64 1/8 (fma.f64 v -2 3))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (/.f64 w (/.f64 1 (.f64 (.f64 w r) (fma.f64 1/8 (*.f64 v -2) 3/8)))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (.f64 w r) (.f64 w r)) 3/2))
(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (neg.f64 v) (*.f64 r r))) w) 3/2))
(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 (fma.f64 v -1/4 3/8) (*.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (.f64 (.f64 w (/.f64 r (-.f64 1 v))) r) w) 3/2))
(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))
(-.f64 (.f64 (/.f64 2 r) (/.f64 1 r)) (fma.f64 (fma.f64 v -1/4 3/8) (.f64 (/.f64 w (/.f64 (/.f64 (-.f64 1 v) r) r)) w) 3/2))

Outputs
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (.f64 (fma.f64 v -2 3) 1/8)))) 9/2)

Calls

9 calls:

53.0ms	r
38.0ms	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
28.0ms	v
25.0ms	w
24.0ms	(*.f64 w w)

Results

Error	Segments	Branch
1.0b	1	`v`
1.0b	1	`w`
1.0b	1	`r`
1.0b	1	`(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)`
1.0b	1	`(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)`
1.0b	1	`(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v)))`
1.0b	1	`(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v)))`
1.0b	1	`(*.f64 w w)`
1.0b	1	`(*.f64 w w)`

Compiler

Compiled 1411 to 862 computations (38.9% saved)

regimes334.0ms (2.4%)

Counts

47 → 3

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (*.f64 w w) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w r) (*.f64 r 3/8)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 w (.f64 r (*.f64 r 3/8))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 8/3 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 r r) (*.f64 1/4 w)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (/.f64 8/3 r) (.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r 3/8)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (.f64 v (+.f64 (*.f64 v 1/24) 1/8)) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 v (.f64 (.f64 -1/4 (.f64 w w)) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 -2 v)) r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) (.f64 v -2)) (.f64 (.f64 w (.f64 (*.f64 w r) 1/8)) 3)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(*.f64 (pow.f64 r -2) 2)
(+.f64 (.f64 (pow.f64 (.f64 w r) 2) -1/4) -3/2)
(fma.f64 (.f64 w r) (.f64 w (*.f64 r -3/8)) -3/2)
(fma.f64 (.f64 (.f64 w r) (*.f64 w -1/4)) r -3/2)
(fma.f64 w (.f64 w (.f64 (*.f64 r r) -1/4)) -3/2)
(-.f64 (fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) (.f64 w (.f64 w (*.f64 r r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 (fma.f64 v -1/4 3/8) (.f64 w r)) (*.f64 w r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (pow.f64 (*.f64 w r) 2)) (-.f64 1 v))) 9/2)

Outputs

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

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

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

Calls

9 calls:

67.0ms	r
57.0ms	v
56.0ms	w
23.0ms	(*.f64 w w)
21.0ms	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)

Results

Error	Segments	Branch
0.8b	3	`v`
0.5b	3	`w`
0.5b	3	`r`
1.9b	2	`(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)`
1.9b	2	`(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)`
1.9b	2	`(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v)))`
1.9b	2	`(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v)))`
0.5b	2	`(*.f64 w w)`
0.5b	2	`(*.f64 w w)`

Compiler

Compiled 1073 to 653 computations (39.1% saved)

bsearch12.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	6.382145224534783e+136	1.995447801624068e+140
5.0ms	-4.738245288820971e+156	-9.617849351572266e+139

Compiler

Compiled 184 to 133 computations (27.7% saved)

regimes388.0ms (2.8%)

Counts

44 → 3

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (*.f64 w w) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w r) (*.f64 r 3/8)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 w (.f64 r (*.f64 r 3/8))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 8/3 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 r r) (*.f64 1/4 w)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (/.f64 8/3 r) (.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r 3/8)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (.f64 v (+.f64 (*.f64 v 1/24) 1/8)) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 v (.f64 (.f64 -1/4 (.f64 w w)) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 -2 v)) r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) (.f64 v -2)) (.f64 (.f64 w (.f64 (*.f64 w r) 1/8)) 3)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(*.f64 (pow.f64 r -2) 2)
(+.f64 (.f64 (pow.f64 (.f64 w r) 2) -1/4) -3/2)
(fma.f64 (.f64 w r) (.f64 w (*.f64 r -3/8)) -3/2)
(fma.f64 (.f64 (.f64 w r) (*.f64 w -1/4)) r -3/2)
(fma.f64 w (.f64 w (.f64 (*.f64 r r) -1/4)) -3/2)
(-.f64 (fma.f64 (.f64 w r) (.f64 r (*.f64 w -1/4)) 3) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (.f64 (pow.f64 r -2) 2)) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (fma.f64 -8/9 (/.f64 v r) (/.f64 8/3 r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 3/8 (.f64 (pow.f64 w 2) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)

Outputs

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)

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

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)

Calls

9 calls:

85.0ms	v
73.0ms	r
54.0ms	(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v)))
38.0ms	(*.f64 w w)
36.0ms	w

Results

Error	Segments	Branch
1.0b	3	`v`
2.2b	2	`w`
1.7b	3	`r`
1.9b	2	`(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)`
1.9b	2	`(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)`
1.9b	2	`(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v)))`
1.9b	2	`(-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v)))`
1.5b	2	`(*.f64 w w)`
1.5b	2	`(*.f64 w w)`

Compiler

Compiled 994 to 605 computations (39.1% saved)

bsearch90.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	0.6207891505361259	1.02660622517053e+20
31.0ms	-1.8179282493338328e+96	-4.972220404752745e+95

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes165.0ms (1.2%)

Counts

27 → 3

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (*.f64 w w) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w r) (*.f64 r 3/8)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 w (.f64 r (*.f64 r 3/8))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 8/3 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 r r) (*.f64 1/4 w)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 (.f64 w r) r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 3/8 (.f64 1/8 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (/.f64 8/3 r) (.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w w) (*.f64 r 3/8)) 1) (/.f64 r (-.f64 1 v)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 (.f64 v (+.f64 (*.f64 v 1/24) 1/8)) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (.f64 8/3 (/.f64 1 r)) (*.f64 -8/9 (/.f64 v r))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 v (.f64 (.f64 -1/4 (.f64 w w)) r)) 1) (/.f64 r (-.f64 1 v)))) 9/2)

Outputs

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2)

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (+.f64 (*.f64 v (+.f64 (*.f64 v 1/24) 1/8)) 3/8))) 9/2)

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)

Calls

5 calls:

37.0ms	v
36.0ms	r
34.0ms	w
23.0ms	(*.f64 w w)
23.0ms	(*.f64 w w)

Results

Error	Segments	Branch
1.4b	3	`v`
7.1b	2	`w`
6.8b	2	`r`
6.2b	4	`(*.f64 w w)`
6.2b	4	`(*.f64 w w)`

Compiler

Compiled 520 to 300 computations (42.3% saved)

bsearch61.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.6207891505361259	1.02660622517053e+20
30.0ms	-1613816883.9497578	-6018232.12797371

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes141.0ms (1%)

Counts

24 → 3

Calls

Call 1

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

Outputs

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2)

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

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)

Calls

5 calls:

32.0ms	r
31.0ms	w
30.0ms	v
19.0ms	(*.f64 w w)
19.0ms	(*.f64 w w)

Results

Error	Segments	Branch
1.4b	3	`v`
7.1b	2	`w`
6.8b	2	`r`
6.2b	4	`(*.f64 w w)`
6.2b	4	`(*.f64 w w)`

Compiler

Compiled 439 to 253 computations (42.4% saved)

bsearch65.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.6207891505361259	1.02660622517053e+20
29.0ms	-1613816883.9497578	-6018232.12797371

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes201.0ms (1.5%)

Counts

22 → 3

Calls

Call 1

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

Outputs

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)

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

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)

Calls

5 calls:

52.0ms	w
43.0ms	(*.f64 w w)
40.0ms	r
38.0ms	v
18.0ms	(*.f64 w w)

Results

Error	Segments	Branch
1.4b	3	`v`
7.1b	2	`w`
6.8b	2	`r`
6.2b	4	`(*.f64 w w)`
6.2b	4	`(*.f64 w w)`

Compiler

Compiled 389 to 223 computations (42.7% saved)

bsearch62.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.6207891505361259	1.02660622517053e+20
30.0ms	-1613816883.9497578	-6018232.12797371

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes224.0ms (1.6%)

Counts

17 → 3

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (*.f64 w w) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w r) (*.f64 r 3/8)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 w (.f64 r (*.f64 r 3/8))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 8/3 r))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 r r) (*.f64 1/4 w)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 1/4))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w w) (.f64 (*.f64 r r) 3/8))) 9/2)

Outputs

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) 3/8)) 9/2)

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)

Calls

5 calls:

91.0ms	(*.f64 w w)
51.0ms	v
25.0ms	w
22.0ms	r
15.0ms	(*.f64 w w)

Results

Error	Segments	Branch
1.6b	3	`v`
7.1b	2	`w`
6.8b	2	`r`
6.2b	4	`(*.f64 w w)`
6.2b	4	`(*.f64 w w)`

Compiler

Compiled 272 to 157 computations (42.3% saved)

bsearch59.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	0.6207891505361259	1.02660622517053e+20
30.0ms	-1613816883.9497578	-6018232.12797371

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes31.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (*.f64 w w) r)))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)

Outputs
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)

Calls

5 calls:

10.0ms	(*.f64 w w)
6.0ms	v
5.0ms	r
5.0ms	w
3.0ms	(*.f64 w w)

Results

Error	Segments	Branch
8.4b	1	`v`
8.4b	1	`w`
8.4b	1	`r`
8.4b	1	`(*.f64 w w)`
8.4b	1	`(*.f64 w w)`

Compiler

Compiled 101 to 62 computations (38.6% saved)

regimes34.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (*.f64 w w) r)))) 9/2)

Outputs

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (*.f64 r (*.f64 3/8 (*.f64 (*.f64 w w) r)))) 9/2)

(/.f64 (/.f64 2 r) r)

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (*.f64 r (*.f64 3/8 (*.f64 (*.f64 w w) r)))) 9/2)

Calls

4 calls:

13.0ms	r
8.0ms	w
5.0ms	v
5.0ms	(*.f64 w w)

Results

Error	Segments	Branch
11.9b	1	`v`
10.7b	2	`w`
10.2b	3	`r`
10.2b	2	`(*.f64 w w)`

Compiler

Compiled 76 to 48 computations (36.8% saved)

bsearch75.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	3.4170412273655313e-93	7.609527719043725e-85
45.0ms	-3.0843587467304782e-78	-6.367085700080237e-83

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes48.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(.f64 w (.f64 w (.f64 (.f64 r r) -1/4)))

Outputs
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(.f64 (.f64 w r) (.f64 w (.f64 r -3/8)))

Calls

3 calls:

16.0ms	r
4.0ms	w
4.0ms	v

Results

Error	Segments	Branch
18.8b	1	`v`
18.8b	1	`w`
16.4b	3	`r`

Compiler

Compiled 51 to 32 computations (37.3% saved)

bsearch98.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	6.167376346527005e+165	6.747503188989135e+174
43.0ms	-1.7858328531657003e+210	-3.290273840369135e+197

Compiler

Compiled 494 to 371 computations (24.9% saved)

regimes13.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))

Outputs
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))

Calls

3 calls:

4.0ms	v
4.0ms	r
4.0ms	w

Results

Error	Segments	Branch
18.8b	1	`v`
18.8b	1	`w`
18.8b	1	`r`

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes72.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))
(/.f64 (/.f64 2 r) r)

Outputs
-3/2
(/.f64 (/.f64 2 r) r)
-3/2

Calls

3 calls:

42.0ms	v
20.0ms	w
9.0ms	r

Results

Error	Segments	Branch
30.6b	10	`v`
27.8b	7	`w`
19.3b	3	`r`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch171.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
135.0ms	0.00047428484603962307	89227.68743854533
29.0ms	-54.62777205185027	-2.46439098123813e-9

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes58.0ms (0.4%)

Accuracy

Total -43.7b remaining (-226.3%)

Threshold costs -43.7b (-226.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-3/2
(/.f64 2 (*.f64 r r))

Outputs
-3/2
(/.f64 2 (*.f64 r r))
-3/2

Calls

3 calls:

30.0ms	v
19.0ms	w
8.0ms	r

Results

Error	Segments	Branch
30.6b	10	`v`
27.9b	7	`w`
19.3b	3	`r`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch62.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.00047428484603962307	89227.68743854533
31.0ms	-54.62777205185027	-2.46439098123813e-9

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

73×	`+-commutative_binary64`
69×	`*-commutative_binary64`
66×	`sub-neg_binary64`
47×	`distribute-rgt-neg-in_binary64`
42×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	983
1	239	983
2	359	983
3	462	983
4	548	983
5	593	983
6	617	983
7	623	983
8	624	983

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (.f64 w r) 2))))) 9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (.f64 (fma.f64 v -2 3) 1/8)))) 9/2)
(if (<=.f64 r -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) (.f64 v -2)) (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) 3)) 1) (/.f64 r (-.f64 1 v)))) 9/2) (if (<=.f64 r 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) (.f64 w (.f64 w (.f64 r r))))) 9/2) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 (.f64 (.f64 w (.f64 (.f64 w r) 1/8)) (.f64 v -2)) (.f64 (.f64 w (.f64 (*.f64 w r) 1/8)) 3)) 1) (/.f64 r (-.f64 1 v)))) 9/2)))
(if (<=.f64 v -1817928249333832757680862529184450306521555134304317664905086671000818743895372726797844120338432) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 4 r))) 9/2) (if (<=.f64 v 5591571574060287/9007199254740992) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 -2 v)) r))))) 9/2) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 4 r))) 9/2)))
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(if (<=.f64 v -6768838611618005/4194304) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) 9/2) (if (<=.f64 v 5591571574060287/9007199254740992) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 4 r))) 9/2)))
(if (<=.f64 v -6768838611618005/4194304) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 4 r))) 9/2) (if (<=.f64 v 5591571574060287/9007199254740992) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) (+.f64 3/8 (.f64 1/8 v)))) 9/2) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 4 r))) 9/2)))
(if (<=.f64 v -6768838611618005/4194304) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 4 r))) 9/2) (if (<=.f64 v 5591571574060287/9007199254740992) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (.f64 w r)) 3/8)) 9/2) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (*.f64 w r)) (/.f64 4 r))) 9/2)))
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)
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(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(if (<=.f64 r -3844087716512395/70368744177664) -3/2 (if (<=.f64 r 546813198308229/1152921504606846976) (/.f64 (/.f64 2 r) r) -3/2))
(if (<=.f64 r -3844087716512395/70368744177664) -3/2 (if (<=.f64 r 546813198308229/1152921504606846976) (/.f64 2 (*.f64 r r)) -3/2))
-3/2

Outputs
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (.f64 w r) 2))))) 9/2)
(+.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (.f64 r w) 2))))) -9/2)
(+.f64 (+.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (.f64 r w) 2))) (.f64 (fma.f64 v -2 3) -1/8))) -9/2)
(+.f64 (+.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 1/8 (fma.f64 v -2 3)) (/.f64 -1 (/.f64 (-.f64 1 v) (pow.f64 (.f64 r w) 2))))) -9/2)
(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 (/.f64 (-.f64 1 v) r) (.f64 (fma.f64 v -2 3) 1/8)))) 9/2)
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(if (<=.f64 r -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (+.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (+.f64 (.f64 (.f64 w (.f64 1/8 (.f64 r w))) (.f64 v -2)) (.f64 3 (.f64 w (.f64 1/8 (.f64 r w))))) (/.f64 r (-.f64 1 v)))) -9/2) (if (<=.f64 r 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (+.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) (.f64 w (.f64 (.f64 r r) w)))) -9/2) (+.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (+.f64 (.f64 (.f64 w (.f64 1/8 (.f64 r w))) (.f64 v -2)) (.f64 3 (.f64 w (.f64 1/8 (*.f64 r w))))) (/.f64 r (-.f64 1 v)))) -9/2)))
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(if (<=.f64 r -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (+.f64 (+.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 r (-.f64 1 v)) (+.f64 (.f64 (.f64 v -2) (.f64 w (.f64 (.f64 r w) -1/8))) (.f64 3 (.f64 w (.f64 (.f64 r w) -1/8)))))) -9/2) (if (<=.f64 r 100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (+.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) (.f64 w (.f64 (.f64 r r) w)))) -9/2) (+.f64 (+.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 r (-.f64 1 v)) (+.f64 (.f64 (.f64 v -2) (.f64 w (.f64 (.f64 r w) -1/8))) (.f64 3 (.f64 w (.f64 (*.f64 r w) -1/8)))))) -9/2)))
(if (<=.f64 v -1817928249333832757680862529184450306521555134304317664905086671000818743895372726797844120338432) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 4 r))) 9/2) (if (<=.f64 v 5591571574060287/9007199254740992) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (.f64 8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 -2 v)) r))))) 9/2) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 w r)) (/.f64 4 r))) 9/2)))
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(if (<=.f64 v -6768838611618005/4194304) (+.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 r w)) (+.f64 (/.f64 4 r) (/.f64 (/.f64 2 v) r)))) -9/2) (if (<=.f64 v 5591571574060287/9007199254740992) (+.f64 (+.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 r w) (.f64 r w)) (+.f64 -3/8 (.f64 v -1/8)))) -9/2) (+.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 r w)) (/.f64 4 r))) -9/2)))
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(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (*.f64 w r)) 3/8)) 9/2)
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(if (<=.f64 r -3216870262278109/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))) 9/2) (if (<=.f64 r 4012533414780857/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 (/.f64 2 r) r) (-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 (.f64 w w) r)))) 9/2)))
(if (<=.f64 r -3216870262278109/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (+.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 r (.f64 w w))))) -9/2) (if (<=.f64 r 4012533414780857/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 (/.f64 2 r) r) (+.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 3/8 (.f64 r (.f64 w w))))) -9/2)))
(if (<=.f64 r -3216870262278109/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (+.f64 (+.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 (.f64 r (.f64 w w)) -3/8))) -9/2) (if (<=.f64 r 4012533414780857/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 (/.f64 2 r) r) (+.f64 (+.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 r (.f64 (.f64 r (.f64 w w)) -3/8))) -9/2)))
(if (<=.f64 r -1749999999999999981947694056785745002935787805073036475990603610818028960381976918005080617074074103979108741843586061776806892498070719339696019810410814239183622849839003708773513498083978126023888832957513728) (.f64 (.f64 w r) (.f64 w (.f64 r -3/8))) (if (<=.f64 r 6600000000000000147577010569322932157497696450279668720348265235517849375366614808624498261256583748724887985700991165627107783404814083828578576955304982021898426304004358144) (-.f64 -3/2 (/.f64 -2 (.f64 r r))) (.f64 (.f64 w r) (.f64 w (*.f64 r -3/8)))))
(if (<=.f64 r -1749999999999999981947694056785745002935787805073036475990603610818028960381976918005080617074074103979108741843586061776806892498070719339696019810410814239183622849839003708773513498083978126023888832957513728) (.f64 (.f64 r w) (.f64 w (.f64 r -3/8))) (if (<=.f64 r 6600000000000000147577010569322932157497696450279668720348265235517849375366614808624498261256583748724887985700991165627107783404814083828578576955304982021898426304004358144) (-.f64 -3/2 (/.f64 -2 (.f64 r r))) (.f64 (.f64 r w) (.f64 w (*.f64 r -3/8)))))
(if (<=.f64 r -1749999999999999981947694056785745002935787805073036475990603610818028960381976918005080617074074103979108741843586061776806892498070719339696019810410814239183622849839003708773513498083978126023888832957513728) (.f64 (.f64 r w) (.f64 w (.f64 r -3/8))) (if (<=.f64 r 6600000000000000147577010569322932157497696450279668720348265235517849375366614808624498261256583748724887985700991165627107783404814083828578576955304982021898426304004358144) (+.f64 (/.f64 2 (.f64 r r)) -3/2) (.f64 (.f64 r w) (.f64 w (*.f64 r -3/8)))))
(-.f64 -3/2 (/.f64 -2 (*.f64 r r)))
(+.f64 (/.f64 2 (*.f64 r r)) -3/2)
(if (<=.f64 r -3844087716512395/70368744177664) -3/2 (if (<=.f64 r 546813198308229/1152921504606846976) (/.f64 (/.f64 2 r) r) -3/2))
(if (<=.f64 r -3844087716512395/70368744177664) -3/2 (if (<=.f64 r 546813198308229/1152921504606846976) (/.f64 2 (*.f64 r r)) -3/2))
-3/2

Compiler

Compiled 713 to 472 computations (33.8% saved)

soundness0.0ms (0%)

end294.0ms (2.1%)

Compiler: Compiled 671 to 400 computations (40.4% saved)

Iter	Nodes	Cost
0	144	983
1	239	983
2	359	983
3	462	983
4	548	983
5	593	983
6	617	983
7	623	983
8	624	983

Iter	Nodes	Cost
0	144	983
1	239	983
2	359	983
3	462	983
4	548	983
5	593	983
6	617	983
7	623	983
8	624	983

Iter	Nodes	Cost
0	144	983
1	239	983
2	359	983
3	462	983
4	548	983
5	593	983
6	617	983
7	623	983
8	624	983