Details

analyze673.0ms (13.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.0s (20.4%)

Results

958.0ms	8256×	body	128	valid
52.0ms	467×	body	128	invalid

Compiler

Compiled 40 to 24 computations (40% saved)

preprocess17.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

23×	`fma-def_binary64`
11×	`+-commutative_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	126
1	65	126
2	75	126
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 c a) (.f64 b d)) (+.f64 (.f64 a a) (.f64 d d)))
(/.f64 (+.f64 (.f64 d c) (.f64 b a)) (+.f64 (.f64 c c) (.f64 a a)))
(/.f64 (+.f64 (.f64 a b) (.f64 c d)) (+.f64 (.f64 b b) (.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 b b)))
(/.f64 (+.f64 (.f64 a d) (.f64 b c)) (+.f64 (.f64 d d) (.f64 c c)))

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (+.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a d (.f64 c b)) (fma.f64 c c (.f64 d d)))
(/.f64 (+.f64 (.f64 c a) (.f64 b d)) (+.f64 (.f64 a a) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a a (.f64 d d)))
(/.f64 (+.f64 (.f64 d c) (.f64 b a)) (+.f64 (.f64 c c) (.f64 a a)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 c c (.f64 a a)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 a a (.f64 c c)))
(/.f64 (+.f64 (.f64 a b) (.f64 c d)) (+.f64 (.f64 b b) (.f64 d d)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 b b (.f64 d d)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 d d (.f64 b b)))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 b b)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 b b)))
(/.f64 (+.f64 (.f64 a d) (.f64 b c)) (+.f64 (.f64 d d) (.f64 c c)))
(/.f64 (fma.f64 a d (.f64 c b)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	18	18
2	22	18

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

26.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	26.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 70 to 36 computations (48.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.7b	(+.f64 (.f64 a c) (.f64 b d))
✓	26.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

series16.0ms (0.3%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	a	@	-inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	c	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`fma-def_binary64`
244×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
140×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	264	32
2	3827	32

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))
(+.f64 (.f64 c c) (.f64 d d))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) 1) (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))) (/.f64 (fma.f64 a c (.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))) (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 a c (.f64 b d)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (.f64 b d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 a c (.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a c (.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a c) 2) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (pow.f64 (.f64 b d) 2) (-.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a c (.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (cbrt.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (/.f64 1 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2)) (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (+.f64 (pow.f64 (.f64 b d) 2) (-.f64 (pow.f64 (.f64 a c) 2) (.f64 a (.f64 c (.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (neg.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) (neg.f64 (-.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a c (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c a (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a c) 1 (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b d (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d b (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b d) 1 (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a c) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b d) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 b b)) (.f64 (cbrt.f64 b) d) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) c) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) a) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) b) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 b d)) (pow.f64 (cbrt.f64 (.f64 b d)) 2) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 b d)) 2) (cbrt.f64 (.f64 b d)) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a c)) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.f64 (.f64 a c)) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) d) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) b) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) a) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 b d)) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 c)) (sqrt.f64 c) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c (cbrt.f64 (.f64 a a))) (cbrt.f64 a) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (.f64 a c))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 c 4) (-.f64 (.f64 c c) (.f64 d d))) (/.f64 (pow.f64 d 4) (-.f64 (.f64 c c) (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 c d) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (hypot.f64 c d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 c d) (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 c 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) d) (.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) d) (.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) c) (.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 d (sqrt.f64 d)) (sqrt.f64 d) (.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c (sqrt.f64 c)) (sqrt.f64 c) (.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 d (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 c 4) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (pow.f64 d 4) (-.f64 (*.f64 c c) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 c d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 c d) (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (-.f64 (*.f64 c c) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))) (+.f64 (pow.f64 c 6) (pow.f64 d 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (*.f64 c c) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (neg.f64 (-.f64 (*.f64 c c) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (*.f64 d d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 c d) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c c (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d d (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c c) 1 (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d d) 1 (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 c c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (pow.f64 d 4)) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (sqrt.f64 d)) (sqrt.f64 d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))))))

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

597×	`associate-*l/_binary64`
518×	`fma-def_binary64`
407×	`associate-/r/_binary64`
354×	`fma-neg_binary64`
278×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	1830
1	114	1710
2	356	1626
3	1797	1578

Stop Event

1×	node limit

Counts

261 → 170

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 d b) (fma.f64 d d (.f64 c c)))
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
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(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(+.f64 (/.f64 b d) (-.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 a (/.f64 (*.f64 b c) d))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))) (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))))
(-.f64 (+.f64 (/.f64 b d) (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c))))
(-.f64 (fma.f64 a (/.f64 c (.f64 d d)) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (.f64 (/.f64 a d) c))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
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(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (/.f64 a c) (-.f64 (/.f64 d (/.f64 (.f64 c c) b)) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (/.f64 (.f64 d (.f64 d a)) (pow.f64 c 3)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 d (/.f64 (.f64 c c) b))) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (fma.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b (/.f64 (.f64 d (.f64 d a)) (pow.f64 c 3))))
(-.f64 (fma.f64 (/.f64 b (.f64 c c)) d (/.f64 a c)) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) (+.f64 a (.f64 (/.f64 d c) b))))
(/.f64 a c)
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(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (/.f64 a c) (-.f64 (/.f64 d (/.f64 (.f64 c c) b)) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (/.f64 (.f64 d (.f64 d a)) (pow.f64 c 3)))
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(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 d (/.f64 (.f64 c c) b))) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (fma.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b (/.f64 (.f64 d (.f64 d a)) (pow.f64 c 3))))
(-.f64 (fma.f64 (/.f64 b (.f64 c c)) d (/.f64 a c)) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) (+.f64 a (.f64 (/.f64 d c) b))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
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(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 d b) (fma.f64 d d (.f64 c c)))
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
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(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 d b) (fma.f64 d d (.f64 c c)))
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 (.f64 d b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 b (/.f64 d (fma.f64 d d (.f64 c c))) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(+.f64 (/.f64 a c) (-.f64 (/.f64 d (/.f64 (.f64 c c) b)) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (/.f64 (.f64 d (.f64 d a)) (pow.f64 c 3)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 d (/.f64 (.f64 c c) b))) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (fma.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b (/.f64 (.f64 d (.f64 d a)) (pow.f64 c 3))))
(-.f64 (fma.f64 (/.f64 b (.f64 c c)) d (/.f64 a c)) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) (+.f64 a (.f64 (/.f64 d c) b))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(+.f64 (/.f64 b d) (-.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 a (/.f64 (*.f64 b c) d))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))) (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))))
(-.f64 (+.f64 (/.f64 b d) (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c))))
(-.f64 (fma.f64 a (/.f64 c (.f64 d d)) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (.f64 (/.f64 a d) c))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(+.f64 (/.f64 b d) (-.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 a (/.f64 (*.f64 b c) d))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))) (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))))
(-.f64 (+.f64 (/.f64 b d) (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c))))
(-.f64 (fma.f64 a (/.f64 c (.f64 d d)) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (.f64 (/.f64 a d) c))))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))

prune109.0ms (2.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	164	6	170
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	165	6	171

Error

2.5b

Counts

171 → 6

Alt Table

Status	Error	Program
	36.9b	(/.f64 a c)
	40.3b	(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
	48.7b	(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))
▶	17.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	44.6b	(/.f64 (fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	36.1b	(/.f64 b d)

Compiler

Compiled 3457 to 1124 computations (67.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 c d)
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	0.7b	(fma.f64 a c (*.f64 b d))
✓	16.5b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

series25.0ms (0.5%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
2.0ms	a	@	-inf	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	a	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	b	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	c	@	inf	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

rewrite65.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
254×	`prod-diff_binary64`
213×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`
189×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	245	43
2	3129	43

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(hypot.f64 c d)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a c) (/.f64 1 (hypot.f64 c d))) (.f64 (.f64 b d) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 a c)) (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a c 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b d) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a c) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a c) 1) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (.f64 b d)))) (cbrt.f64 (exp.f64 (fma.f64 a c (.f64 b d)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a c (.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a c (.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (cbrt.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (fma.f64 (.f64 a c) (.f64 a c) (-.f64 (pow.f64 (.f64 b d) 2) (.f64 (.f64 a c) (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 d) b) (exp.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b d))) (exp.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a c)) (+.f64 1 (expm1.f64 (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))))))
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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 c d))) (cbrt.f64 (exp.f64 (hypot.f64 c d))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 c d)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 c d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 c d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (hypot.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 c d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 c d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 c d) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 c d)))))))

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

560×	`times-frac_binary64`
423×	`associate-/l*_binary64`
338×	`fma-def_binary64`
297×	`cancel-sign-sub-inv_binary64`
277×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	3196
1	373	3046
2	1286	2876

Stop Event

1×	node limit

Counts

321 → 243

Calls

Call 1

Inputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
b
(+.f64 (/.f64 (*.f64 c a) d) b)
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(*.f64 -1 a)
(neg.f64 (+.f64 a (/.f64 (*.f64 d b) c)))
(-.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 a (/.f64 (*.f64 d b) c)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))) (+.f64 a (/.f64 (*.f64 d b) c)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
b
(+.f64 (/.f64 (*.f64 c a) d) b)
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(*.f64 -1 b)
(neg.f64 (+.f64 (/.f64 (*.f64 c a) d) b))
(-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (/.f64 (*.f64 c a) d) b))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2)))) (+.f64 (/.f64 (*.f64 c a) d) b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 c a)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(*.f64 d b)
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 d b))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) d) (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))) (*.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(-.f64 (+.f64 c (.f64 1/2 (/.f64 (pow.f64 d 2) c))) (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(-.f64 (+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (.f64 1/2 (/.f64 (pow.f64 d 2) c)))) (*.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(*.f64 -1 c)
(neg.f64 (+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (+.f64 c (.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(-.f64 (+.f64 c (.f64 1/2 (/.f64 (pow.f64 d 2) c))) (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(-.f64 (+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (.f64 1/2 (/.f64 (pow.f64 d 2) c)))) (*.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) d) (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))) (*.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(*.f64 -1 d)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) d))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (*.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))))

Outputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(.f64 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(.f64 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
b
(+.f64 (/.f64 (*.f64 c a) d) b)
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (*.f64 (/.f64 c d) a))
(fma.f64 (/.f64 c d) a b)
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))
(+.f64 (/.f64 c (/.f64 d a)) (-.f64 b (.f64 1/2 (/.f64 (.f64 c c) (/.f64 (*.f64 d d) b)))))
(+.f64 (+.f64 b (.f64 (/.f64 c d) a)) (.f64 (*.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) -1/2))
(fma.f64 (.f64 (/.f64 b d) (.f64 (/.f64 c d) c)) -1/2 (fma.f64 (/.f64 c d) a b))
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (/.f64 c (/.f64 d a)) (-.f64 b (.f64 1/2 (+.f64 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (/.f64 (.f64 c c) (/.f64 (.f64 d d) b))))))
(-.f64 (+.f64 b (.f64 (/.f64 c d) a)) (.f64 1/2 (+.f64 (.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a))))
(fma.f64 -1/2 (fma.f64 (/.f64 b d) (.f64 (/.f64 c d) c) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a)) (fma.f64 (/.f64 c d) a b))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(fma.f64 (/.f64 d c) b a)
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))))
(+.f64 (+.f64 a (/.f64 d (/.f64 c b))) (.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (*.f64 d d)))))
(+.f64 a (+.f64 (.f64 (/.f64 d c) b) (.f64 (*.f64 (/.f64 a c) (/.f64 d (/.f64 c d))) -1/2)))
(fma.f64 (*.f64 (/.f64 a c) (/.f64 d (/.f64 c d))) -1/2 (fma.f64 (/.f64 d c) b a))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(-.f64 (+.f64 a (/.f64 d (/.f64 c b))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (/.f64 a (/.f64 (.f64 c c) (*.f64 d d))))))
(+.f64 a (+.f64 (.f64 (/.f64 d c) b) (.f64 -1/2 (+.f64 (.f64 (/.f64 a c) (/.f64 d (/.f64 c d))) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b)))))
(fma.f64 -1/2 (fma.f64 (/.f64 a c) (/.f64 d (/.f64 c d)) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b)) (fma.f64 (/.f64 d c) b a))
(*.f64 -1 a)
(neg.f64 a)
(neg.f64 (+.f64 a (/.f64 (*.f64 d b) c)))
(neg.f64 (+.f64 a (/.f64 d (/.f64 c b))))
(-.f64 (neg.f64 a) (*.f64 (/.f64 d c) b))
(neg.f64 (fma.f64 (/.f64 d c) b a))
(-.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 a (/.f64 (*.f64 d b) c)))
(-.f64 (.f64 1/2 (/.f64 a (/.f64 (.f64 c c) (*.f64 d d)))) (+.f64 a (/.f64 d (/.f64 c b))))
(-.f64 (/.f64 (.f64 a 1/2) (.f64 (/.f64 c d) (/.f64 c d))) (+.f64 a (*.f64 (/.f64 d c) b)))
(-.f64 (.f64 1/2 (.f64 (/.f64 a c) (/.f64 d (/.f64 c d)))) (fma.f64 (/.f64 d c) b a))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))) (+.f64 a (/.f64 (*.f64 d b) c)))
(-.f64 (.f64 1/2 (+.f64 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (/.f64 a (/.f64 (.f64 c c) (*.f64 d d))))) (+.f64 a (/.f64 d (/.f64 c b))))
(-.f64 (fma.f64 1/2 (+.f64 (.f64 (/.f64 a c) (/.f64 d (/.f64 c d))) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b)) (neg.f64 a)) (*.f64 (/.f64 d c) b))
(fma.f64 1/2 (fma.f64 (/.f64 a c) (/.f64 d (/.f64 c d)) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b)) (neg.f64 (fma.f64 (/.f64 d c) b a)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(.f64 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 c a (.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
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(+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) d) d) (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 d c)) d) (/.f64 (*.f64 -1/8 (pow.f64 c 4)) (pow.f64 d 3)))
(fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 c d) c) d))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))) (*.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) d) d) (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)))) (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 d c)) (fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) d)) (/.f64 (*.f64 -1/8 (pow.f64 c 4)) (pow.f64 d 3)))
(fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 c d) c) (fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) d)))
(*.f64 -1 d)
(neg.f64 d)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d))
(neg.f64 (fma.f64 1/2 (/.f64 (*.f64 c c) d) d))
(-.f64 (*.f64 (/.f64 c (/.f64 d c)) -1/2) d)
(-.f64 (.f64 (.f64 (/.f64 c d) c) -1/2) d)
(-.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) d))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (fma.f64 1/2 (/.f64 (.f64 c c) d) d))
(-.f64 (/.f64 (*.f64 (pow.f64 c 4) 1/8) (pow.f64 d 3)) (fma.f64 1/2 (/.f64 c (/.f64 d c)) d))
(-.f64 (/.f64 (.f64 (pow.f64 c 4) 1/8) (pow.f64 d 3)) (fma.f64 1/2 (.f64 (/.f64 c d) c) d))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (*.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) d) d) (*.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)))))
(-.f64 (/.f64 (*.f64 (pow.f64 c 4) 1/8) (pow.f64 d 3)) (fma.f64 1/2 (/.f64 c (/.f64 d c)) (fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) d)))
(-.f64 (/.f64 (.f64 (pow.f64 c 4) 1/8) (pow.f64 d 3)) (fma.f64 1/2 (.f64 (/.f64 c d) c) (fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) d)))

prune201.0ms (4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	294	6	300
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	298	8	306

Error

0.0b

Counts

306 → 8

Alt Table

Status	Error	Program
	47.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))
	33.0b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	31.8b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
	18.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)))
	41.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
✓	17.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
▶	17.7b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
	44.6b	(/.f64 (fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6895 to 2561 computations (62.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 c d)
✓	0.3b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
	0.7b	(fma.f64 a c (*.f64 b d))
✓	16.6b	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))

series19.0ms (0.4%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))
2.0ms	a	@	0	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))
1.0ms	c	@	0	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))
1.0ms	a	@	inf	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))
1.0ms	c	@	inf	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

281×	`prod-diff_binary64`
221×	`expm1-udef_binary64`
221×	`log1p-udef_binary64`
196×	`log-pow_binary64`
128×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	252	31
2	3368	31

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))
(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))

Outputs

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

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-def_binary64`
567×	`cancel-sign-sub-inv_binary64`
236×	`fma-neg_binary64`
227×	`times-frac_binary64`
209×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	3858
1	491	3302
2	2383	3044

Stop Event

1×	node limit

Counts

175 → 145

Calls

Call 1

Inputs
(/.f64 1 b)
(-.f64 (/.f64 1 b) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))))) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (pow.f64 d 3) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (.f64 (pow.f64 d 3) (pow.f64 b 2)))) (/.f64 (.f64 c a) (*.f64 d (pow.f64 b 2))))))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a))) (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a))) (+.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (*.f64 (pow.f64 c 3) (pow.f64 a 2)))))))
(/.f64 -1 a)
(-.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (/.f64 1 a))
(-.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a))))
(-.f64 (+.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 3) (pow.f64 a 2)))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a))))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a))) (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a))) (+.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (*.f64 (pow.f64 c 3) (pow.f64 a 2)))))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))))) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (pow.f64 d 3) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (.f64 (pow.f64 d 3) (pow.f64 b 2)))) (/.f64 (.f64 c a) (*.f64 d (pow.f64 b 2))))))
(/.f64 -1 b)
(-.f64 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))) (/.f64 1 b))
(-.f64 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (pow.f64 d 3) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (.f64 (pow.f64 d 3) (pow.f64 b 2)))) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))))) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (pow.f64 c 2) (*.f64 (pow.f64 d 2) b))))))
(.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 c a) (*.f64 (pow.f64 d 2) (pow.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 3) (pow.f64 b 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (/.f64 (.f64 c a) (.f64 (pow.f64 d 2) (pow.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 3) (pow.f64 b 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (pow.f64 d 4) (pow.f64 b 4))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 c a) (*.f64 (pow.f64 d 2) (pow.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 d b) (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (/.f64 (.f64 d b) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (.f64 (pow.f64 c 4) (pow.f64 a 4))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 d b) (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 d b) (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (/.f64 (.f64 d b) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (.f64 (pow.f64 c 4) (pow.f64 a 4))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 d b) (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 d b) (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (/.f64 (.f64 d b) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 c a)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (.f64 (pow.f64 c 4) (pow.f64 a 4))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 d b) (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 c a) (*.f64 (pow.f64 d 2) (pow.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 3) (pow.f64 b 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (/.f64 (.f64 c a) (.f64 (pow.f64 d 2) (pow.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 3) (pow.f64 b 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (pow.f64 d 4) (pow.f64 b 4))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 c a) (*.f64 (pow.f64 d 2) (pow.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 c a) (*.f64 (pow.f64 d 2) (pow.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 3) (pow.f64 b 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (/.f64 (.f64 c a) (.f64 (pow.f64 d 2) (pow.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 3) (pow.f64 b 3))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (pow.f64 d 4) (pow.f64 b 4))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) (.f64 (/.f64 (.f64 c a) (*.f64 (pow.f64 d 2) (pow.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (pow.f64 d 2))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))

Outputs
(/.f64 1 b)
(-.f64 (/.f64 1 b) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 (.f64 c a) (.f64 d (*.f64 b b))))
(-.f64 (/.f64 1 b) (/.f64 a (/.f64 (.f64 b (.f64 b d)) c)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))))) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (.f64 d d) (pow.f64 b 3))) (-.f64 (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (.f64 c c) (.f64 b (.f64 d d))))) (/.f64 (.f64 c a) (.f64 d (.f64 b b)))))
(-.f64 (fma.f64 (.f64 (/.f64 c d) (/.f64 c d)) (/.f64 a (/.f64 (pow.f64 b 3) a)) (fma.f64 1/2 (/.f64 (.f64 (/.f64 c d) (/.f64 c d)) b) (/.f64 1 b))) (/.f64 a (/.f64 (.f64 b (.f64 b d)) c)))
(-.f64 (+.f64 (/.f64 1 b) (.f64 (.f64 (/.f64 c d) (/.f64 c d)) (+.f64 (/.f64 1/2 b) (/.f64 a (/.f64 (pow.f64 b 3) a))))) (/.f64 a (/.f64 (.f64 b (.f64 b d)) c)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (pow.f64 d 3) (pow.f64 b 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (.f64 (pow.f64 d 3) (pow.f64 b 2)))) (/.f64 (.f64 c a) (*.f64 d (pow.f64 b 2))))))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (.f64 d d) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (.f64 c c) (.f64 b (.f64 d d)))))) (+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 a (.f64 b b))) (/.f64 (.f64 c a) (.f64 d (*.f64 b b))))))
(-.f64 (fma.f64 (.f64 (/.f64 c d) (/.f64 c d)) (/.f64 a (/.f64 (pow.f64 b 3) a)) (fma.f64 1/2 (/.f64 (.f64 (/.f64 c d) (/.f64 c d)) b) (/.f64 1 b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 a (.f64 b b))) (/.f64 a (/.f64 (.f64 b (.f64 b d)) c)))))
(-.f64 (+.f64 (/.f64 1 b) (.f64 (.f64 (/.f64 c d) (/.f64 c d)) (+.f64 (/.f64 1/2 b) (/.f64 a (/.f64 (pow.f64 b 3) a))))) (fma.f64 (pow.f64 (/.f64 c d) 3) (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (.f64 (/.f64 a (.f64 b b)) (+.f64 (/.f64 c d) (*.f64 1/2 (pow.f64 (/.f64 c d) 3))))))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))))
(-.f64 (/.f64 1 a) (/.f64 (.f64 b d) (.f64 c (*.f64 a a))))
(-.f64 (/.f64 1 a) (.f64 (/.f64 d c) (/.f64 b (.f64 a a))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a))) (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 c c)) (pow.f64 a 3)) (-.f64 (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (/.f64 1 a)) (/.f64 (.f64 b d) (.f64 c (.f64 a a)))))
(fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) (/.f64 (.f64 b b) (pow.f64 a 3)) (-.f64 (fma.f64 1/2 (/.f64 (.f64 (/.f64 d c) (/.f64 d c)) a) (/.f64 1 a)) (.f64 (/.f64 d c) (/.f64 b (*.f64 a a)))))
(+.f64 (.f64 (.f64 (/.f64 d c) (/.f64 d c)) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1/2 a))) (-.f64 (/.f64 1 a) (.f64 (/.f64 d c) (/.f64 b (*.f64 a a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a))) (+.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (*.f64 (pow.f64 c 3) (pow.f64 a 2)))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (+.f64 (/.f64 1 a) (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 c c)) (pow.f64 a 3)))) (+.f64 (/.f64 (.f64 b d) (.f64 c (.f64 a a))) (+.f64 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (.f64 1/2 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) b))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 (/.f64 d c) (/.f64 d c)) a) (fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1 a))) (fma.f64 (/.f64 d c) (/.f64 b (.f64 a a)) (fma.f64 1/2 (.f64 (/.f64 b (.f64 a a)) (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))))))
(+.f64 (.f64 (.f64 (/.f64 d c) (/.f64 d c)) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1/2 a))) (-.f64 (/.f64 1 a) (fma.f64 (/.f64 d c) (/.f64 b (.f64 a a)) (.f64 (pow.f64 (/.f64 d c) 3) (+.f64 (.f64 (/.f64 b (*.f64 a a)) 1/2) (/.f64 (pow.f64 b 3) (pow.f64 a 4)))))))
(/.f64 -1 a)
(-.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (/.f64 1 a))
(-.f64 (/.f64 (.f64 b d) (.f64 c (*.f64 a a))) (/.f64 1 a))
(fma.f64 (/.f64 d c) (/.f64 b (*.f64 a a)) (/.f64 -1 a))
(-.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a))))
(-.f64 (/.f64 (.f64 b d) (.f64 c (.f64 a a))) (+.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 c c)) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (/.f64 1 a))))
(-.f64 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (fma.f64 1/2 (/.f64 (.f64 (/.f64 d c) (/.f64 d c)) a) (fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) (/.f64 (*.f64 b b) (pow.f64 a 3)) (/.f64 1 a))))
(+.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (.f64 (.f64 (/.f64 d c) (/.f64 d c)) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a 3)) (/.f64 1/2 a)))) (/.f64 -1 a))
(-.f64 (+.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 3) (pow.f64 a 2)))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a))))
(-.f64 (+.f64 (/.f64 (.f64 b d) (.f64 c (.f64 a a))) (+.f64 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (.f64 1/2 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) b))))) (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (+.f64 (/.f64 1 a) (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 c c)) (pow.f64 a 3)))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b (.f64 a a)) (fma.f64 1/2 (.f64 (/.f64 b (.f64 a a)) (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))))) (fma.f64 1/2 (/.f64 (.f64 (/.f64 d c) (/.f64 d c)) a) (fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) (/.f64 (*.f64 b b) (pow.f64 a 3)) (/.f64 1 a))))
(+.f64 (-.f64 (fma.f64 (/.f64 d c) (/.f64 b (.f64 a a)) (.f64 (pow.f64 (/.f64 d c) 3) (+.f64 (.f64 (/.f64 b (.f64 a a)) 1/2) (/.f64 (pow.f64 b 3) (pow.f64 a 4))))) (.f64 (.f64 (/.f64 d c) (/.f64 d c)) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a 3)) (/.f64 1/2 a)))) (/.f64 -1 a))
(/.f64 1 a)
(-.f64 (/.f64 1 a) (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))))
(-.f64 (/.f64 1 a) (/.f64 (.f64 b d) (.f64 c (*.f64 a a))))
(-.f64 (/.f64 1 a) (.f64 (/.f64 d c) (/.f64 b (.f64 a a))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a))) (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 c c)) (pow.f64 a 3)) (-.f64 (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (/.f64 1 a)) (/.f64 (.f64 b d) (.f64 c (.f64 a a)))))
(fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) (/.f64 (.f64 b b) (pow.f64 a 3)) (-.f64 (fma.f64 1/2 (/.f64 (.f64 (/.f64 d c) (/.f64 d c)) a) (/.f64 1 a)) (.f64 (/.f64 d c) (/.f64 b (*.f64 a a)))))
(+.f64 (.f64 (.f64 (/.f64 d c) (/.f64 d c)) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1/2 a))) (-.f64 (/.f64 1 a) (.f64 (/.f64 d c) (/.f64 b (*.f64 a a)))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a))) (+.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (+.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (*.f64 (pow.f64 c 3) (pow.f64 a 2)))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (+.f64 (/.f64 1 a) (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 c c)) (pow.f64 a 3)))) (+.f64 (/.f64 (.f64 b d) (.f64 c (.f64 a a))) (+.f64 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (.f64 1/2 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) b))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 (/.f64 d c) (/.f64 d c)) a) (fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1 a))) (fma.f64 (/.f64 d c) (/.f64 b (.f64 a a)) (fma.f64 1/2 (.f64 (/.f64 b (.f64 a a)) (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))))))
(+.f64 (.f64 (.f64 (/.f64 d c) (/.f64 d c)) (+.f64 (/.f64 (.f64 b b) (pow.f64 a 3)) (/.f64 1/2 a))) (-.f64 (/.f64 1 a) (fma.f64 (/.f64 d c) (/.f64 b (.f64 a a)) (.f64 (pow.f64 (/.f64 d c) 3) (+.f64 (.f64 (/.f64 b (*.f64 a a)) 1/2) (/.f64 (pow.f64 b 3) (pow.f64 a 4)))))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 (.f64 c a) (.f64 d (*.f64 b b))))
(-.f64 (/.f64 1 b) (/.f64 a (/.f64 (.f64 b (.f64 b d)) c)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))))) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 (.f64 d d) (pow.f64 b 3))) (-.f64 (+.f64 (/.f64 1 b) (.f64 1/2 (/.f64 (.f64 c c) (.f64 b (.f64 d d))))) (/.f64 (.f64 c a) (.f64 d (.f64 b b)))))
(-.f64 (fma.f64 (.f64 (/.f64 c d) (/.f64 c d)) (/.f64 a (/.f64 (pow.f64 b 3) a)) (fma.f64 1/2 (/.f64 (.f64 (/.f64 c d) (/.f64 c d)) b) (/.f64 1 b))) (/.f64 a (/.f64 (.f64 b (.f64 b d)) c)))
(-.f64 (+.f64 (/.f64 1 b) (.f64 (.f64 (/.f64 c d) (/.f64 c d)) (+.f64 (/.f64 1/2 b) (/.f64 a (/.f64 (pow.f64 b 3) a))))) (/.f64 a (/.f64 (.f64 b (.f64 b d)) c)))
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(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 c c) (.f64 d d)) a))
(/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 c c) (.f64 d d)) a))
(/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 c c) (.f64 d d)) a))
(/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 c (/.f64 (+.f64 (.f64 c c) (*.f64 d d)) a)))
(+.f64 (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c)))
(fma.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b (/.f64 a (/.f64 (fma.f64 c c (.f64 d d)) c)))

prune208.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	292	8	300

Error

0.0b

Counts

300 → 8

Alt Table

Status	Error	Program
	47.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))
	33.0b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	31.8b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
▶	18.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)))
	41.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
✓	17.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	17.7b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
	44.6b	(/.f64 (fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 7667 to 3241 computations (57.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (hypot.f64 c d))
✓	0.7b	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
	0.7b	(fma.f64 a c (*.f64 b d))
✓	16.5b	(/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3))

series21.0ms (0.4%)

Counts

3 → 64

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
2.0ms	d	@	-inf	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
2.0ms	d	@	inf	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
2.0ms	c	@	0	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
2.0ms	d	@	0	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary64`
257×	`prod-diff_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
180×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	253	24
2	2870	24

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs
(/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
(cbrt.f64 (hypot.f64 c d))

Outputs

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c (*.f64 b d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (cbrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (hypot.f64 c d))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 1) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (hypot.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 c d))) (cbrt.f64 (exp.f64 (hypot.f64 c d))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 c d)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 c d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) 1/6) (*.f64 (pow.f64 (hypot.f64 c d) 1/6) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2) 3) (cbrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 1/6) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1) (cbrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (pow.f64 (hypot.f64 c d) 1/6)) (pow.f64 (hypot.f64 c d) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 c d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 c d) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 c d)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 d c)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 c d)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d)))) (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) 1/6) (pow.f64 (hypot.f64 c d) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 c d)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 c d) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 c d))))))))

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

455×	`times-frac_binary64`
452×	`associate-l_binary64`
439×	`fma-def_binary64`
329×	`associate-/l*_binary64`
237×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1534
1	414	1436
2	1394	1350

Stop Event

1×	node limit

Counts

155 → 157

Calls

Call 1

Inputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
b
(+.f64 (/.f64 (*.f64 c a) d) b)
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(*.f64 -1 a)
(neg.f64 (+.f64 a (/.f64 (*.f64 d b) c)))
(-.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 a (/.f64 (*.f64 d b) c)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))) (+.f64 a (/.f64 (*.f64 d b) c)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
b
(+.f64 (/.f64 (*.f64 c a) d) b)
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(*.f64 -1 b)
(neg.f64 (+.f64 (/.f64 (*.f64 c a) d) b))
(-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (/.f64 (*.f64 c a) d) b))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2)))) (+.f64 (/.f64 (*.f64 c a) d) b))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) d) (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))) (*.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(-.f64 (+.f64 c (.f64 1/2 (/.f64 (pow.f64 d 2) c))) (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(-.f64 (+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (.f64 1/2 (/.f64 (pow.f64 d 2) c)))) (*.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(pow.f64 d 1/3)
(+.f64 (pow.f64 d 1/3) (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3))))
(-.f64 (+.f64 (pow.f64 d 1/3) (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3)))) (.f64 5/72 (.f64 (pow.f64 c 4) (pow.f64 (/.f64 1 (pow.f64 d 11)) 1/3))))
(-.f64 (+.f64 (pow.f64 d 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3))) (.f64 55/1296 (.f64 (pow.f64 c 6) (pow.f64 (/.f64 1 (pow.f64 d 17)) 1/3))))) (.f64 5/72 (.f64 (pow.f64 c 4) (pow.f64 (/.f64 1 (pow.f64 d 11)) 1/3))))
(pow.f64 c 1/3)
(+.f64 (pow.f64 c 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))))
(-.f64 (+.f64 (pow.f64 c 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2)))) (.f64 5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (pow.f64 d 4))))
(-.f64 (+.f64 (pow.f64 c 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))) (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 17)) 1/3) (pow.f64 d 6))))) (.f64 5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (pow.f64 d 4))))

Outputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 b (.f64 d (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(.f64 b (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) d))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(.f64 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(.f64 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
b
(+.f64 (/.f64 (*.f64 c a) d) b)
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (*.f64 (/.f64 c d) a))
(fma.f64 (/.f64 c d) a b)
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))
(+.f64 (/.f64 c (/.f64 d a)) (-.f64 b (.f64 1/2 (/.f64 (.f64 b (.f64 c c)) (.f64 d d)))))
(+.f64 (.f64 (/.f64 c d) a) (-.f64 b (/.f64 (.f64 (*.f64 1/2 c) c) (/.f64 d (/.f64 b d)))))
(fma.f64 (.f64 (.f64 (/.f64 c d) (/.f64 c d)) b) -1/2 (fma.f64 (/.f64 c d) a b))
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(-.f64 (+.f64 b (/.f64 c (/.f64 d a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (/.f64 (.f64 b (.f64 c c)) (.f64 d d)))))
(+.f64 (.f64 (/.f64 c d) a) (-.f64 b (.f64 1/2 (+.f64 (.f64 (.f64 (/.f64 c d) (/.f64 c d)) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a)))))
(fma.f64 -1/2 (fma.f64 (.f64 (/.f64 c d) c) (/.f64 b d) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a)) (fma.f64 (/.f64 c d) a b))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(fma.f64 (/.f64 d c) b a)
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))))
(+.f64 a (-.f64 (/.f64 d (/.f64 c b)) (.f64 1/2 (/.f64 a (/.f64 (.f64 c c) (*.f64 d d))))))
(+.f64 (.f64 (/.f64 d c) b) (-.f64 a (/.f64 (.f64 1/2 (.f64 d (.f64 d a))) (*.f64 c c))))
(fma.f64 (*.f64 (/.f64 d (/.f64 c d)) (/.f64 a c)) -1/2 (fma.f64 (/.f64 d c) b a))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(+.f64 a (-.f64 (/.f64 d (/.f64 c b)) (.f64 1/2 (+.f64 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (/.f64 a (/.f64 (.f64 c c) (*.f64 d d)))))))
(+.f64 (+.f64 a (.f64 (/.f64 d c) b)) (.f64 -1/2 (+.f64 (/.f64 (.f64 d d) (/.f64 (.f64 c c) a)) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b))))
(fma.f64 -1/2 (fma.f64 (/.f64 d (/.f64 c d)) (/.f64 a c) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b)) (fma.f64 (/.f64 d c) b a))
(*.f64 -1 a)
(neg.f64 a)
(neg.f64 (+.f64 a (/.f64 (*.f64 d b) c)))
(neg.f64 (+.f64 a (/.f64 d (/.f64 c b))))
(-.f64 (neg.f64 a) (*.f64 (/.f64 d c) b))
(neg.f64 (fma.f64 (/.f64 d c) b a))
(-.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 a (/.f64 (*.f64 d b) c)))
(-.f64 (.f64 1/2 (/.f64 a (/.f64 (.f64 c c) (*.f64 d d)))) (+.f64 a (/.f64 d (/.f64 c b))))
(-.f64 (-.f64 (/.f64 (.f64 1/2 (.f64 d (.f64 d a))) (.f64 c c)) a) (*.f64 (/.f64 d c) b))
(-.f64 (/.f64 (.f64 (.f64 a d) (.f64 d 1/2)) (.f64 c c)) (fma.f64 (/.f64 d c) b a))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2)))) (+.f64 a (/.f64 (*.f64 d b) c)))
(-.f64 (.f64 1/2 (+.f64 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (/.f64 a (/.f64 (.f64 c c) (*.f64 d d))))) (+.f64 a (/.f64 d (/.f64 c b))))
(fma.f64 1/2 (+.f64 (/.f64 (.f64 d d) (/.f64 (.f64 c c) a)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b)) (-.f64 (neg.f64 a) (.f64 (/.f64 d c) b)))
(-.f64 (.f64 1/2 (fma.f64 (/.f64 d (/.f64 c d)) (/.f64 a c) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b))) (fma.f64 (/.f64 d c) b a))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(.f64 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 b (.f64 d (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(.f64 b (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) d))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 b (.f64 d (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(.f64 b (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) d))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(fma.f64 (/.f64 d c) b a)
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))))
(+.f64 a (-.f64 (/.f64 d (/.f64 c b)) (.f64 1/2 (/.f64 a (/.f64 (.f64 c c) (*.f64 d d))))))
(+.f64 (.f64 (/.f64 d c) b) (-.f64 a (/.f64 (.f64 1/2 (.f64 d (.f64 d a))) (*.f64 c c))))
(fma.f64 (*.f64 (/.f64 d (/.f64 c d)) (/.f64 a c)) -1/2 (fma.f64 (/.f64 d c) b a))
(-.f64 (+.f64 a (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(+.f64 a (-.f64 (/.f64 d (/.f64 c b)) (.f64 1/2 (+.f64 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (/.f64 a (/.f64 (.f64 c c) (*.f64 d d)))))))
(+.f64 (+.f64 a (.f64 (/.f64 d c) b)) (.f64 -1/2 (+.f64 (/.f64 (.f64 d d) (/.f64 (.f64 c c) a)) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b))))
(fma.f64 -1/2 (fma.f64 (/.f64 d (/.f64 c d)) (/.f64 a c) (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b)) (fma.f64 (/.f64 d c) b a))
b
(+.f64 (/.f64 (*.f64 c a) d) b)
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (*.f64 (/.f64 c d) a))
(fma.f64 (/.f64 c d) a b)
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))
(+.f64 (/.f64 c (/.f64 d a)) (-.f64 b (.f64 1/2 (/.f64 (.f64 b (.f64 c c)) (.f64 d d)))))
(+.f64 (.f64 (/.f64 c d) a) (-.f64 b (/.f64 (.f64 (*.f64 1/2 c) c) (/.f64 d (/.f64 b d)))))
(fma.f64 (.f64 (.f64 (/.f64 c d) (/.f64 c d)) b) -1/2 (fma.f64 (/.f64 c d) a b))
(-.f64 (+.f64 (/.f64 (.f64 c a) d) b) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(-.f64 (+.f64 b (/.f64 c (/.f64 d a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (/.f64 (.f64 b (.f64 c c)) (.f64 d d)))))
(+.f64 (.f64 (/.f64 c d) a) (-.f64 b (.f64 1/2 (+.f64 (.f64 (.f64 (/.f64 c d) (/.f64 c d)) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a)))))
(fma.f64 -1/2 (fma.f64 (.f64 (/.f64 c d) c) (/.f64 b d) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a)) (fma.f64 (/.f64 c d) a b))
(*.f64 -1 b)
(neg.f64 b)
(neg.f64 (+.f64 (/.f64 (*.f64 c a) d) b))
(neg.f64 (+.f64 b (/.f64 c (/.f64 d a))))
(-.f64 (neg.f64 b) (*.f64 (/.f64 c d) a))
(neg.f64 (fma.f64 (/.f64 c d) a b))
(-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (/.f64 (*.f64 c a) d) b))
(-.f64 (.f64 1/2 (/.f64 (.f64 b (.f64 c c)) (.f64 d d))) (+.f64 b (/.f64 c (/.f64 d a))))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 c d) (/.f64 c d)) b) (/.f64 (neg.f64 c) (/.f64 d a))) b)
(-.f64 (.f64 1/2 (.f64 (*.f64 (/.f64 c d) (/.f64 c d)) b)) (fma.f64 (/.f64 c d) a b))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2)))) (+.f64 (/.f64 (*.f64 c a) d) b))
(-.f64 (.f64 1/2 (+.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (/.f64 (.f64 b (.f64 c c)) (.f64 d d)))) (+.f64 b (/.f64 c (/.f64 d a))))
(-.f64 (.f64 1/2 (+.f64 (.f64 (.f64 (/.f64 c d) (/.f64 c d)) b) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a))) (+.f64 b (*.f64 (/.f64 c d) a)))
(fma.f64 1/2 (fma.f64 (.f64 (/.f64 c d) c) (/.f64 b d) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(fma.f64 1/2 (/.f64 (*.f64 c c) d) d)
(fma.f64 1/2 (/.f64 c (/.f64 d c)) d)
(fma.f64 1/2 (*.f64 (/.f64 c d) c) d)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) d) (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c c) d) d) (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 d c)) d) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) -1/8))
(fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 c d) c) d))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))) (*.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) d) d) (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)))) (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 d c)) (fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) d)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) -1/8))
(fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 c d) c) (fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) d)))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(+.f64 c (.f64 1/2 (/.f64 (.f64 d d) c)))
(fma.f64 1/2 (/.f64 d (/.f64 c d)) c)
(-.f64 (+.f64 c (.f64 1/2 (/.f64 (pow.f64 d 2) c))) (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(+.f64 c (-.f64 (.f64 1/2 (/.f64 (.f64 d d) c)) (*.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3)))))
(+.f64 c (fma.f64 1/2 (/.f64 d (/.f64 c d)) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) -1/8)))
(fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) -1/8 (fma.f64 1/2 (/.f64 d (/.f64 c d)) c))
(-.f64 (+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (.f64 1/2 (/.f64 (pow.f64 d 2) c)))) (*.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(+.f64 c (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5)) (.f64 1/2 (/.f64 (.f64 d d) c))) (*.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3)))))
(+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (fma.f64 1/2 (/.f64 d (/.f64 c d)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) -1/8))))
(fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) -1/8 (fma.f64 1/2 (/.f64 d (/.f64 c d)) (fma.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5)) c)))
(pow.f64 d 1/3)
(cbrt.f64 d)
(+.f64 (pow.f64 d 1/3) (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3))))
(+.f64 (cbrt.f64 d) (.f64 1/6 (.f64 (*.f64 c c) (cbrt.f64 (/.f64 1 (pow.f64 d 5))))))
(fma.f64 1/6 (.f64 c (.f64 c (cbrt.f64 (/.f64 1 (pow.f64 d 5))))) (cbrt.f64 d))
(fma.f64 (.f64 c c) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 5))) 1/6) (cbrt.f64 d))
(-.f64 (+.f64 (pow.f64 d 1/3) (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3)))) (.f64 5/72 (.f64 (pow.f64 c 4) (pow.f64 (/.f64 1 (pow.f64 d 11)) 1/3))))
(+.f64 (cbrt.f64 d) (-.f64 (.f64 1/6 (.f64 (.f64 c c) (cbrt.f64 (/.f64 1 (pow.f64 d 5))))) (.f64 5/72 (*.f64 (pow.f64 c 4) (cbrt.f64 (/.f64 1 (pow.f64 d 11)))))))
(+.f64 (cbrt.f64 d) (fma.f64 1/6 (.f64 c (.f64 c (cbrt.f64 (/.f64 1 (pow.f64 d 5))))) (.f64 (.f64 -5/72 (pow.f64 c 4)) (cbrt.f64 (/.f64 1 (pow.f64 d 11))))))
(fma.f64 (.f64 (pow.f64 c 4) (cbrt.f64 (/.f64 1 (pow.f64 d 11)))) -5/72 (fma.f64 (.f64 c c) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 5))) 1/6) (cbrt.f64 d)))
(-.f64 (+.f64 (pow.f64 d 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3))) (.f64 55/1296 (.f64 (pow.f64 c 6) (pow.f64 (/.f64 1 (pow.f64 d 17)) 1/3))))) (.f64 5/72 (.f64 (pow.f64 c 4) (pow.f64 (/.f64 1 (pow.f64 d 11)) 1/3))))
(+.f64 (cbrt.f64 d) (-.f64 (fma.f64 1/6 (.f64 (.f64 c c) (cbrt.f64 (/.f64 1 (pow.f64 d 5)))) (.f64 55/1296 (.f64 (pow.f64 c 6) (cbrt.f64 (/.f64 1 (pow.f64 d 17)))))) (.f64 5/72 (.f64 (pow.f64 c 4) (cbrt.f64 (/.f64 1 (pow.f64 d 11)))))))
(+.f64 (cbrt.f64 d) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 17))) (.f64 (pow.f64 c 6) 55/1296)) (fma.f64 1/6 (.f64 c (.f64 c (cbrt.f64 (/.f64 1 (pow.f64 d 5))))) (.f64 (.f64 -5/72 (pow.f64 c 4)) (cbrt.f64 (/.f64 1 (pow.f64 d 11)))))))
(fma.f64 (.f64 (pow.f64 c 4) (cbrt.f64 (/.f64 1 (pow.f64 d 11)))) -5/72 (fma.f64 (.f64 c c) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 5))) 1/6) (fma.f64 55/1296 (.f64 (pow.f64 c 6) (cbrt.f64 (/.f64 1 (pow.f64 d 17)))) (cbrt.f64 d))))
(pow.f64 c 1/3)
(cbrt.f64 c)
(+.f64 (pow.f64 c 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))))
(+.f64 (cbrt.f64 c) (.f64 1/6 (.f64 (*.f64 d d) (cbrt.f64 (/.f64 1 (pow.f64 c 5))))))
(fma.f64 1/6 (.f64 d (.f64 d (cbrt.f64 (/.f64 1 (pow.f64 c 5))))) (cbrt.f64 c))
(fma.f64 (.f64 d d) (.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 c 5)))) (cbrt.f64 c))
(-.f64 (+.f64 (pow.f64 c 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2)))) (.f64 5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (pow.f64 d 4))))
(+.f64 (cbrt.f64 c) (-.f64 (.f64 1/6 (.f64 (.f64 d d) (cbrt.f64 (/.f64 1 (pow.f64 c 5))))) (.f64 5/72 (*.f64 (pow.f64 d 4) (cbrt.f64 (/.f64 1 (pow.f64 c 11)))))))
(+.f64 (fma.f64 1/6 (.f64 d (.f64 d (cbrt.f64 (/.f64 1 (pow.f64 c 5))))) (cbrt.f64 c)) (.f64 (.f64 -5/72 (pow.f64 d 4)) (cbrt.f64 (/.f64 1 (pow.f64 c 11)))))
(fma.f64 (.f64 (pow.f64 d 4) (cbrt.f64 (/.f64 1 (pow.f64 c 11)))) -5/72 (fma.f64 (.f64 d d) (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 c 5)))) (cbrt.f64 c)))
(-.f64 (+.f64 (pow.f64 c 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))) (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 17)) 1/3) (pow.f64 d 6))))) (.f64 5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (pow.f64 d 4))))
(+.f64 (cbrt.f64 c) (-.f64 (fma.f64 1/6 (.f64 (.f64 d d) (cbrt.f64 (/.f64 1 (pow.f64 c 5)))) (.f64 55/1296 (.f64 (pow.f64 d 6) (cbrt.f64 (/.f64 1 (pow.f64 c 17)))))) (.f64 5/72 (.f64 (pow.f64 d 4) (cbrt.f64 (/.f64 1 (pow.f64 c 11)))))))
(+.f64 (fma.f64 1/6 (.f64 d (.f64 d (cbrt.f64 (/.f64 1 (pow.f64 c 5))))) (cbrt.f64 c)) (-.f64 (.f64 (pow.f64 d 6) (.f64 55/1296 (cbrt.f64 (/.f64 1 (pow.f64 c 17))))) (.f64 (pow.f64 d 4) (.f64 5/72 (cbrt.f64 (/.f64 1 (pow.f64 c 11)))))))
(fma.f64 (.f64 (pow.f64 d 4) (cbrt.f64 (/.f64 1 (pow.f64 c 11)))) -5/72 (fma.f64 (.f64 d d) (.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 c 5)))) (fma.f64 (pow.f64 d 6) (.f64 55/1296 (cbrt.f64 (/.f64 1 (pow.f64 c 17)))) (cbrt.f64 c))))

prune114.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	190	8	198

Error

0.0b

Counts

198 → 8

Alt Table

Status	Error	Program
	47.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))
	33.0b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	31.8b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
✓	18.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)))
	41.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
✓	17.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	17.7b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
	44.6b	(/.f64 (fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 4852 to 1986 computations (59.1% saved)

regimes1.8s (36.8%)

Accuracy

Total 10.2b remaining (98%)

Threshold costs 0b (0%)

Counts

148 → 5

Compiler

Compiled 2130 to 641 computations (69.9% saved)

bsearch108.0ms (2.2%)

Algorithm

4×	binary-search

Calls

4 calls:

37.0ms	d
28.0ms	d
22.0ms	d
21.0ms	d

Steps

Iters	Point		Range
3.4e+106	∈ [	1.4161809127159698e+104	,	3.2649443738255207e+110	]
3.9e-131	∈ [	5.040880201825994e-132	,	1.3952411388965621e-126	]
-3.5e-85	∈ [	-2.815366703633198e-74	,	-3.414535066802297e-85	]
-3.5e+79	∈ [	-1.5197040262084673e+83	,	-8.31212308090621e+75	]

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	121
1	48	119
2	51	119
3	57	119
4	62	119
5	67	119
6	69	119

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 d -34999999999999998034707983862481296202127821344599677205063153348425579602378752) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 d -6124302029392433/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (/.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d))) (if (<=.f64 d 7791884381588717/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2))) (if (<=.f64 d 33999999999999999428559210310451835072453196699085853050611446475773818699141727279437872757635410317803520) (/.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))))))

Outputs
(if (<=.f64 d -34999999999999998034707983862481296202127821344599677205063153348425579602378752) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 d -6124302029392433/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (/.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d))) (if (<=.f64 d 7791884381588717/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (if (<=.f64 d 33999999999999999428559210310451835072453196699085853050611446475773818699141727279437872757635410317803520) (/.f64 (.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d))) (.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))))))
(if (<=.f64 d -34999999999999998034707983862481296202127821344599677205063153348425579602378752) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 d -6124302029392433/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (/.f64 (.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d))) (if (<=.f64 d 7791884381588717/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (if (<=.f64 d 33999999999999999428559210310451835072453196699085853050611446475773818699141727279437872757635410317803520) (/.f64 (.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d))) (.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))))))
(if (<=.f64 d -34999999999999998034707983862481296202127821344599677205063153348425579602378752) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 d -6124302029392433/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (/.f64 (neg.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d))) (if (<=.f64 d 7791884381588717/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (if (<=.f64 d 33999999999999999428559210310451835072453196699085853050611446475773818699141727279437872757635410317803520) (/.f64 (neg.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d))) (.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))))))
(if (<=.f64 d -34999999999999998034707983862481296202127821344599677205063153348425579602378752) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 d -6124302029392433/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (/.f64 (/.f64 (neg.f64 (fma.f64 a c (.f64 d b))) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))) (if (<=.f64 d 7791884381588717/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (+.f64 (/.f64 a c) (/.f64 (.f64 d b) (pow.f64 c 2))) (if (<=.f64 d 33999999999999999428559210310451835072453196699085853050611446475773818699141727279437872757635410317803520) (/.f64 (/.f64 (neg.f64 (fma.f64 a c (.f64 d b))) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))) (.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))))))

end118.0ms (2.4%)

Stop Event

1×

fuel

Compiler

Compiled 316 to 157 computations (50.3% saved)

Details

analyze673.0ms (13.5%)

sample1.0s (20.4%)

preprocess17.0ms (0.3%)

simplify6.0ms (0.1%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series16.0ms (0.3%)

rewrite62.0ms (1.2%)

simplify48.0ms (1%)

prune109.0ms (2.2%)

localize9.0ms (0.2%)

series25.0ms (0.5%)

rewrite65.0ms (1.3%)

simplify56.0ms (1.1%)

prune201.0ms (4%)

localize9.0ms (0.2%)

series19.0ms (0.4%)

rewrite52.0ms (1%)

simplify78.0ms (1.6%)

prune208.0ms (4.2%)

localize13.0ms (0.3%)

series21.0ms (0.4%)

rewrite55.0ms (1.1%)

simplify39.0ms (0.8%)

prune114.0ms (2.3%)

regimes1.8s (36.8%)

bsearch108.0ms (2.2%)

simplify5.0ms (0.1%)

end118.0ms (2.4%)

Profiling