Details

analyze1.6s (23.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
11.7%	81.1%	7.2%	10
15.2%	74.9%	9.9%	11
20.3%	67.1%	12.6%	12
25.4%	54.5%	20.2%	13
28.3%	49.1%	22.6%	14

Compiler

Compiled 33 to 25 computations (24.2% saved)

sample2.2s (32.6%)

Results

1.3s	8256×	body	128	valid
877.0ms	5463×	body	128	invalid

Compiler

Compiled 66 to 50 computations (24.2% saved)

preprocess30.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

570×	`cancel-sign-sub-inv_binary64`
453×	`distribute-rgt-neg-in_binary64`
322×	`fma-def_binary64`
251×	`associate-r_binary64`
235×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	172
1	169	172
2	578	148
3	2265	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 3 (+.f64 (-.f64 (/.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 (/.f64 2 (.f64 r r)) (.f64 (.f64 (.f64 r r) (.f64 w w)) (/.f64 (+.f64 3/8 (.f64 v -1/4)) (-.f64 1 v)))) -3/2)
(+.f64 (-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 r (.f64 r (*.f64 w w))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) -3/2)
(-.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 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 3 (+.f64 (-.f64 (/.f64 2 (.f64 r r)) (.f64 (/.f64 (.f64 1/8 (-.f64 3 (.f64 2 w))) (-.f64 1 w)) (.f64 (.f64 r v) (*.f64 r v)))) -9/2))
(+.f64 (-.f64 (/.f64 2 (.f64 r r)) (.f64 (/.f64 (+.f64 3/8 (.f64 w -1/4)) (/.f64 (-.f64 1 w) r)) (.f64 r (*.f64 v v)))) -3/2)
(+.f64 (fma.f64 (/.f64 (+.f64 -3/8 (.f64 w 1/4)) (/.f64 (-.f64 1 w) (.f64 v v))) (.f64 r r) (/.f64 2 (.f64 r r))) -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 (.f64 1/8 (+.f64 3 (.f64 r -2))) (-.f64 1 r)) (.f64 w (.f64 w (*.f64 v v))))) -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 (/.f64 (fma.f64 r -1/4 3/8) (-.f64 1 r)) v) (.f64 v (*.f64 w w)))))
(-.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 3 (+.f64 (-.f64 (/.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 (.f64 r r) (.f64 w 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 32 to 24 computations (25% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-neg_binary64`
464×	`div-sub_binary64`
352×	`associate-l_binary64`
345×	`associate-r_binary64`
185×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	43
1	59	43
2	169	37
3	694	35
4	3748	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 r (.f64 w w)) (/.f64 (-.f64 1 v) (.f64 r (+.f64 3/8 (*.f64 v -1/4)))))))
(+.f64 (/.f64 2 (.f64 r r)) (-.f64 -3/2 (.f64 r (.f64 (/.f64 (fma.f64 v -1/4 3/8) (/.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 r r) (/.f64 (-.f64 1 v) (*.f64 w w))) 3/2))

prune4.0ms (0.1%)

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

9.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.0b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (/.f64 (.f64 r r) (/.f64 (-.f64 1 v) (*.f64 w w))) 3/2))
▶	11.4b	(-.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

16.0b

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

▶

11.4b

(-.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 171 to 118 computations (31% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
✓	5.3b	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
✓	6.9b	(.f64 (.f64 (*.f64 w w) r) r)
✓	8.9b	(.f64 (.f64 w w) r)

series25.0ms (0.4%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	r	@	inf	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
2.0ms	v	@	0	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
2.0ms	v	@	0	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
2.0ms	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))

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`prod-diff_binary64`
185×	`add-sqr-sqrt_binary64`
177×	`*-un-lft-identity_binary64`
177×	`pow1_binary64`
172×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	372	58
2	4958	58

Stop Event

1×	node limit

Counts

4 → 98

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

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

501×	`associate-l_binary64`
455×	`fma-neg_binary64`
429×	`unswap-sqr_binary64`
390×	`associate-r_binary64`
322×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	2409
1	176	2249
2	672	2077
3	4107	2077

Stop Event

1×	node limit

Counts

218 → 126

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

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

prune317.0ms (4.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	12	126
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	116	12	128

Error

0.1b

Counts

128 → 12

Alt Table

Status	Error	Program
	13.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (cbrt.f64 (/.f64 1/8 (/.f64 (-.f64 1 v) (.f64 (pow.f64 (.f64 w r) 2) (+.f64 3 (.f64 v -2)))))) (cbrt.f64 (pow.f64 (/.f64 1/8 (/.f64 (-.f64 1 v) (.f64 (pow.f64 (.f64 w r) 2) (+.f64 3 (.f64 v -2))))) 2)))) 9/2)
	7.2b	(-.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)
	9.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 1/8 (.f64 (+.f64 3 (.f64 v -2)) (.f64 (*.f64 w w) r))) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 r (cbrt.f64 (-.f64 1 v))))) 9/2)
	5.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 1/8 (.f64 (.f64 (pow.f64 (.f64 w r) 2) (+.f64 3 (.f64 v -2))) (/.f64 1 (-.f64 1 v))))) 9/2)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (pow.f64 (.f64 w r) 2) (.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (/.f64 1 (-.f64 1 v))))) 9/2)
	18.6b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 9/2)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))) 9/2)
	15.9b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 w r) 2) 3))) (-.f64 1 v))) 9/2)
	17.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1) (/.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) (-.f64 1 v)))) 9/2)
	17.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w (*.f64 r r)) 1/4))) 9/2)
▶	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (*.f64 w r) 2))) 9/2)
	15.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (.f64 1/8 (fma.f64 v -2 3)))) (-.f64 1 v))) 9/2)

Compiler

Compiled 4873 to 3501 computations (28.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v))
✓	0.1b	(.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2))
✓	0.4b	(pow.f64 (*.f64 w r) 2)
✓	1.1b	(/.f64 2 (*.f64 r r))

series15.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

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

rewrite42.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

204×	`add-sqr-sqrt_binary64`
194×	`pow1_binary64`
193×	`*-un-lft-identity_binary64`
190×	`add-log-exp_binary64`
190×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	49
1	417	45

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

452×	`fma-neg_binary64`
425×	`unswap-sqr_binary64`
401×	`fma-def_binary64`
391×	`associate-l_binary64`
307×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	1539
1	218	1481
2	765	1350
3	3972	1350

Stop Event

1×	node limit

Counts

194 → 145

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

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

prune378.0ms (5.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	146	11	157

Error

Counts

157 → 11

Alt Table

Status	Error	Program
	9.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 1/8 (.f64 (+.f64 3 (.f64 v -2)) (.f64 (*.f64 w w) r))) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 r (cbrt.f64 (-.f64 1 v))))) 9/2)
	5.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 1/8 (.f64 (.f64 (pow.f64 (.f64 w r) 2) (+.f64 3 (.f64 v -2))) (/.f64 1 (-.f64 1 v))))) 9/2)
	17.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1) (/.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) (-.f64 1 v)))) 9/2)
▶	0.2b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (*.f64 w r) 2))) 9/2)
	13.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (cbrt.f64 (/.f64 1/8 (/.f64 (-.f64 1 v) (.f64 (pow.f64 (.f64 w r) 2) (+.f64 3 (.f64 v -2)))))) (cbrt.f64 (pow.f64 (/.f64 1/8 (/.f64 (-.f64 1 v) (.f64 (pow.f64 (.f64 w r) 2) (+.f64 3 (.f64 v -2))))) 2)))) 9/2)
	0.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (.f64 (pow.f64 (cbrt.f64 (.f64 r w)) 2) (.f64 (cbrt.f64 (.f64 r w)) (*.f64 r w))))) 9/2)
	3.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (.f64 w (.f64 r (*.f64 r w))))) 9/2)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (pow.f64 (.f64 r w) 2) (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)))) 9/2)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 3)) (pow.f64 (*.f64 w r) 2))) 9/2)
	15.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (.f64 1/8 (fma.f64 v -2 3)))) (-.f64 1 v))) 9/2)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) (pow.f64 (*.f64 w r) 2))) 9/2)

Compiler

Compiled 5054 to 3605 computations (28.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v))
✓	0.0b	(*.f64 2 (pow.f64 r -2))
	0.1b	(.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2))
	0.4b	(pow.f64 (*.f64 w r) 2)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite34.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
467×	`add-log-exp_binary64`
466×	`log1p-expm1-u_binary64`
466×	`expm1-log1p-u_binary64`
457×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1318	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 2 (pow.f64 r -2))

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

605×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
333×	`associate-/l/_binary64`
281×	`cube-prod_binary64`
275×	`fabs-mul_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	201	84
6	793	84
7	1999	84
8	2165	84
9	2349	84
10	2557	84
11	2848	84
12	3241	84
13	3721	84
14	4284	84
15	4972	84

Stop Event

1×	node limit

Counts

23 → 13

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))

prune282.0ms (4.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	135	10	145

Error

Counts

145 → 10

Alt Table

Status	Error	Program
	17.7b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (.f64 r (.f64 (.f64 r (*.f64 w w)) (fma.f64 1/8 v 3/8)))) 9/2)
▶	0.2b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (/.f64 (pow.f64 (.f64 r w) 2) (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)))) 9/2)
	0.5b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (pow.f64 (.f64 (*.f64 r w) (sqrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2)) 9/2)
	15.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (.f64 1/8 (fma.f64 v -2 3)))) (-.f64 1 v))) 9/2)
	7.0b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (exp.f64 (log.f64 (/.f64 (.f64 (pow.f64 (*.f64 r w) 2) (fma.f64 v -1/4 3/8)) (-.f64 1 v))))) 9/2)
	0.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (.f64 (pow.f64 (cbrt.f64 (.f64 r w)) 2) (.f64 (cbrt.f64 (.f64 r w)) (*.f64 r w))))) 9/2)
	3.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (.f64 w (.f64 r (*.f64 r w))))) 9/2)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 3)) (pow.f64 (*.f64 w r) 2))) 9/2)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) (pow.f64 (*.f64 w r) 2))) 9/2)
	6.3b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (.f64 (.f64 (*.f64 w w) r) r))) 9/2)

Compiler

Compiled 4554 to 3458 computations (24.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8))
	0.0b	(*.f64 2 (pow.f64 r -2))
✓	0.1b	(/.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)))
✓	0.4b	(pow.f64 (*.f64 r w) 2)

series13.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	(/.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)))
1.0ms	r	@	0	(/.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)))
1.0ms	w	@	0	(/.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)))
1.0ms	r	@	inf	(/.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)))
1.0ms	w	@	inf	(/.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)))

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

254×	`log1p-udef_binary64`
246×	`prod-diff_binary64`
151×	`add-sqr-sqrt_binary64`
144×	`pow1_binary64`
143×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	307	38
2	3981	38

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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

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

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

460×	`fma-neg_binary64`
425×	`unswap-sqr_binary64`
396×	`associate-l_binary64`
396×	`fma-def_binary64`
319×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	1458
1	223	1406
2	769	1278
3	4097	1278

Stop Event

1×	node limit

Counts

217 → 179

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

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

prune410.0ms (6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	189	3	192
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	194	8	202

Error

Counts

202 → 8

Alt Table

Status	Error	Program
	7.0b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (exp.f64 (log.f64 (/.f64 (.f64 (pow.f64 (*.f64 r w) 2) (fma.f64 v -1/4 3/8)) (-.f64 1 v))))) 9/2)
	0.4b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 r w)) 2) (.f64 (cbrt.f64 (.f64 r w)) (.f64 r w))) (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)))) 9/2)
	0.5b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (/.f64 (pow.f64 (.f64 r w) 2) (pow.f64 (pow.f64 (/.f64 (-.f64 1 v) (fma.f64 v -1/4 3/8)) 3) 1/3))) 9/2)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 3)) (pow.f64 (*.f64 w r) 2))) 9/2)
	17.7b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (.f64 r (.f64 (.f64 r (*.f64 w w)) (fma.f64 1/8 v 3/8)))) 9/2)
	0.5b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (pow.f64 (.f64 (*.f64 r w) (sqrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2)) 9/2)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) (pow.f64 (*.f64 w r) 2))) 9/2)
	17.4b	(-.f64 (-.f64 (+.f64 3 (.f64 2 (pow.f64 r -2))) (.f64 w (.f64 (.f64 w (*.f64 r r)) 3/8))) 9/2)

Compiler

Compiled 7618 to 5752 computations (24.5% saved)

regimes736.0ms (10.8%)

Accuracy

Total 0.2b remaining (86.1%)

Threshold costs 0.2b (86.1%)

Counts

218 → 1

Compiler

Compiled 6045 to 4266 computations (29.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	35
1	37	35
2	53	35
3	63	35
4	71	35
5	75	35
6	76	35

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

end169.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 285 to 225 computations (21.1% saved)

Details

analyze1.6s (23.8%)

sample2.2s (32.6%)

preprocess30.0ms (0.4%)

simplify23.0ms (0.3%)

prune4.0ms (0.1%)

localize17.0ms (0.3%)

series25.0ms (0.4%)

rewrite73.0ms (1.1%)

simplify95.0ms (1.4%)

prune317.0ms (4.7%)

localize16.0ms (0.2%)

series15.0ms (0.2%)

rewrite42.0ms (0.6%)

simplify57.0ms (0.8%)

prune378.0ms (5.6%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite34.0ms (0.5%)

simplify56.0ms (0.8%)

prune282.0ms (4.1%)

localize17.0ms (0.3%)

series13.0ms (0.2%)

rewrite74.0ms (1.1%)

simplify60.0ms (0.9%)

prune410.0ms (6%)

regimes736.0ms (10.8%)

simplify3.0ms (0%)

end169.0ms (2.5%)

Profiling