Details

analyze421.0ms (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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
9.7%	90.1%	0.2%	12

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.1s (13.6%)

Results

1.0s	8256×	body	256	valid
73.0ms	512×	body	256	invalid

preprocess32.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	126
1	64	126
2	74	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 23 to 15 computations (34.8% saved)

simplify12.0ms (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)))

eval1.0ms (0%)

Compiler: Compiled 32 to 14 computations (56.3% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

27.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.8b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	27.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.2b	(+.f64 (.f64 a c) (.f64 b d))
✓	27.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series28.0ms (0.3%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
2.0ms	b	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
2.0ms	a	@	-inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
2.0ms	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)))

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
506×	`fma-def_binary64`
354×	`pow2_binary64`
244×	`fma-neg_binary64`
242×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	264	32
2	3831	32

Stop Event

1×	node limit

Counts

3 → 165

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

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

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-neg_binary64`
528×	`associate-/r/_binary64`
448×	`associate-/l/_binary64`
358×	`sub-neg_binary64`
342×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1848
1	140	1710
2	478	1629
3	2604	1578
4	6771	1578

Stop Event

1×	node limit

Counts

285 → 194

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 c c (*.f64 d d))
✓	0.3b	(fma.f64 a c (*.f64 b d))
✓	27.3b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series13.0ms (0.2%)

Counts

3 → 120

Calls

30 calls:

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

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
397×	`exp-prod_binary64`
340×	`pow-prod-down_binary64`
271×	`pow2_binary64`
271×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	203	32
2	2573	32

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d))))))))) (#(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)) (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 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4)) (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 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (.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))) (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 (sqrt.f64 (fma.f64 a c (.f64 b d))) (.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 (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 (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 (hypot.f64 c d) 4))) (/.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 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (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 (hypot.f64 c d) 4))) (/.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 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 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 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 6) 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 pow.f64 (exp.f64 1) (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3) (pow.f64 (hypot.f64 c d) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (.f64 b d))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))) 2)) (cbrt.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 a c 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-2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b d) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a c) (.f64 b d))))) (#(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 (.f64 a c) 1) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (.f64 b d)))) 2)) (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))) (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 (pow.f64 (.f64 a c) 2) (-.f64 (pow.f64 (.f64 b d) 2) (.f64 (.f64 a 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 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)) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a c (.f64 b d)))) 2)) (cbrt.f64 (log.f64 (fma.f64 a c (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a c (.f64 b d))))) (sqrt.f64 (log.f64 (fma.f64 a c (.f64 b d)))))))) (#(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 (+.f64 1 (expm1.f64 (.f64 b d))) (pow.f64 (exp.f64 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.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 expm1.f64 (log1p.f64 (fma.f64 a c (.f64 b d))))))) (#(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 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 exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a c (.f64 b d)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 a c (.f64 b d)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a c (.f64 b d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1) 1))))))
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Outputs

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

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

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

simplify124.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-neg_binary64`
528×	`associate-/r/_binary64`
448×	`associate-/l/_binary64`
358×	`sub-neg_binary64`
342×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1848
1	140	1710
2	478	1629
3	2604	1578
4	6771	1578

Stop Event

1×	node limit

Counts

239 → 149

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

eval117.0ms (1.4%)

Compiler: Compiled 6427 to 2001 computations (68.9% saved)

prune101.0ms (1.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	327	16	343
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	329	16	345

Error

0.1b

Counts

345 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	38.0b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	40.0b	(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
▶	17.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	40.0b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (.f64 c c) (*.f64 d d)))
	33.5b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	40.5b	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
▶	43.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
	36.7b	(/.f64 b d)
▶	30.3b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
	39.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	27.1b	(.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))
▶	38.1b	(/.f64 a c)
	33.6b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
	46.9b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c))))
	40.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	26.5b	(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))

Compiler

Compiled 560 to 326 computations (41.8% saved)

localize15.0ms (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)))
	0.3b	(fma.f64 a c (*.f64 b d))
✓	15.9b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series16.0ms (0.2%)

Counts

3 → 120

Calls

30 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
411×	`pow-prod-down_binary64`
310×	`pow2_binary64`
254×	`prod-diff_binary64`
231×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	245	35
2	3129	35

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (*.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)) (pow.f64 (hypot.f64 c d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (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 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))))) (#(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) (/.f64 (hypot.f64 c d) (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 (pow.f64 (hypot.f64 c d) 2) (cbrt.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) 1) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a c (*.f64 b d)) -1) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) -1) (pow.f64 (neg.f64 (hypot.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (fma.f64 a c (*.f64 b d)))) (pow.f64 (neg.f64 (hypot.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 1) (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (cbrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 a c (*.f64 b d)))) (neg.f64 (hypot.f64 c 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 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6) 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 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))) -1)))) (#(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 pow.f64 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6))))) (#(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 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 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 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 +.f64 0 (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 c d))) 2)) (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)) (cbrt.f64 (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 (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 (cbrt.f64 (pow.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 (/.f64 1 (hypot.f64 c d)) -1)))) (#(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 (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 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) -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 (pow.f64 (hypot.f64 c d) -1/2) -2)))) (#(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 expm1.f64 (log1p.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 c d)))))) (#(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))))))

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

835×	`times-frac_binary64`
582×	`associate-/l*_binary64`
545×	`fma-def_binary64`
387×	`associate-/r*_binary64`
346×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2891
1	438	2686
2	1473	2556
3	7099	2535

Stop Event

1×	node limit

Counts

253 → 219

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

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

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (.f64 a c) (.f64 b d))
✓	18.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series9.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	d	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
1.0ms	a	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
1.0ms	a	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
0.0ms	a	@	-inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
0.0ms	d	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
413×	`pow-prod-down_binary64`
331×	`fma-def_binary64`
293×	`pow2_binary64`
202×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	216	14
2	3079	14

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify111.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

931×	`associate-/r/_binary64`
846×	`*-commutative_binary64`
624×	`times-frac_binary64`
533×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	660
1	20	660
2	38	588
3	84	588
4	227	588
5	839	588
6	3882	588
7	4783	588
8	4993	588
9	5213	588
10	5441	588
11	5776	588
12	7223	588

Stop Event

1×	node limit

Counts

92 → 49

Calls

Call 1

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

Outputs
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.7b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
414×	`exp-prod_binary64`
323×	`pow-prod-down_binary64`
278×	`prod-diff_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	191	14
2	2651	14

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

931×	`associate-/r/_binary64`
846×	`*-commutative_binary64`
624×	`times-frac_binary64`
533×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	660
1	20	660
2	38	588
3	84	588
4	227	588
5	839	588
6	3882	588
7	4783	588
8	4993	588
9	5213	588
10	5441	588
11	5776	588
12	7223	588

Stop Event

1×	node limit

Counts

84 → 41

Calls

Call 1

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

Outputs
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) 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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.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 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (hypot.f64 c d) -2)
	0.0b	(hypot.f64 c d)
	0.3b	(fma.f64 a c (*.f64 b d))
✓	26.6b	(.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	d	@	0	(pow.f64 (hypot.f64 c d) -2)
1.0ms	c	@	inf	(pow.f64 (hypot.f64 c d) -2)
1.0ms	d	@	inf	(pow.f64 (hypot.f64 c d) -2)
1.0ms	c	@	0	(pow.f64 (hypot.f64 c d) -2)
1.0ms	d	@	-inf	(pow.f64 (hypot.f64 c d) -2)

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
401×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`
289×	`pow2_binary64`
227×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	225	24
2	2623	24

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (hypot.f64 c d) -2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) -2)) (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 c d) -2) (*.f64 a c)) (*.f64 (pow.f64 (hypot.f64 c d) -2) (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (*.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 (*.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 (*.f64 (pow.f64 (hypot.f64 c d) -4) (pow.f64 (fma.f64 a c (*.f64 b d)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 c d) -6) (pow.f64 (fma.f64 a c (*.f64 b d)) 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 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (fma.f64 a c (*.f64 b d)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))) 2)) (cbrt.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))) (sqrt.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 sqrt.f64 (*.f64 (pow.f64 (hypot.f64 c d) -4) (pow.f64 (fma.f64 a c (*.f64 b d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 (*.f64 (pow.f64 (hypot.f64 c d) -6) (pow.f64 (fma.f64 a c (*.f64 b d)) 3)))))) (#(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 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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (fma.f64 a c (*.f64 b d))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 c d) -2) (*.f64 a c) (*.f64 (pow.f64 (hypot.f64 c d) -2) (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) -2) (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2)))))))

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

825×	`fma-neg_binary64`
490×	`fma-def_binary64`
474×	`associate-/l*_binary64`
469×	`associate-l_binary64`
463×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	2236
1	368	2066
2	1357	1957
3	6660	1954

Stop Event

1×	node limit

Counts

126 → 98

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 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (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))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (/.f64 1 (pow.f64 c 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))))) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 8))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 8)))))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (/.f64 1 (pow.f64 c 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))))) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 8))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 8)))))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6)))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (.f64 -2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6))))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 8)) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (.f64 -2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6))))))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (.f64 -2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6))))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 8)) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (.f64 -2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6))))))))

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

eval191.0ms (2.3%)

Compiler: Compiled 13720 to 5165 computations (62.4% saved)

prune163.0ms (1.9%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	666	15	681
Fresh	6	5	11
Picked	1	0	1
Done	1	3	4
Total	674	23	697

Error

0.0b

Counts

697 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	38.0b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	40.0b	(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
	49.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) c))
	42.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	43.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 -1/2 (.f64 b (pow.f64 (/.f64 d c) 3)) (fma.f64 -1/2 (.f64 (/.f64 a c) (.f64 (/.f64 d c) d)) (fma.f64 (/.f64 d c) b a))))
	52.2b	(/.f64 (.f64 c a) (.f64 d d))
▶	36.7b	(/.f64 b d)
✓	30.3b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
	43.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))
▶	40.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
▶	39.0b	(.f64 (/.f64 (fma.f64 a c (.f64 b d)) d) (/.f64 1 d))
	44.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (.f64 d b) c)))
	49.8b	(*.f64 c (/.f64 (/.f64 a d) d))
	33.5b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
▶	45.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	42.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (.f64 (/.f64 c d) (/.f64 c d)))))))
	30.3b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	39.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	17.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1))
	39.0b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
✓	38.1b	(/.f64 a c)
	17.0b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
✓	43.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))

Compiler

Compiled 716 to 428 computations (40.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) -1)
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1))
	0.3b	(fma.f64 a c (*.f64 b d))
✓	16.0b	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))

Compiler

Compiled 67 to 19 computations (71.6% saved)

series33.0ms (0.4%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) -1)
3.0ms	c	@	0	(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) -1)
1.0ms	b	@	inf	(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) -1)
1.0ms	a	@	inf	(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) -1)
1.0ms	a	@	0	(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) -1)

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log-prod_binary64`
354×	`pow2_binary64`
260×	`prod-diff_binary64`
250×	`pow1/3_binary64`
241×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	284	48
2	3469	48

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify143.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

502×	`fma-def_binary64`
501×	`times-frac_binary64`
408×	`associate-/l*_binary64`
376×	`associate-r_binary64`
366×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	442	7785
1	1693	6143
2	7923	6143

Stop Event

1×	node limit

Counts

270 → 266

Calls

Call 1

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

Outputs
(/.f64 1 b)
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (*.f64 d (pow.f64 b 2)))) (/.f64 1 b))
(fma.f64 -1 (.f64 (/.f64 c d) (/.f64 a (.f64 b b))) (/.f64 1 b))
(-.f64 (/.f64 1 b) (.f64 (/.f64 a d) (/.f64 c (.f64 b b))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2)))) (+.f64 (.f64 (pow.f64 c 2) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 d 2) b))) (.f64 -1 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 d 2) (pow.f64 b 3)))))) (/.f64 1 b)))
(fma.f64 -1 (.f64 (/.f64 c d) (/.f64 a (.f64 b b))) (fma.f64 (.f64 c c) (-.f64 (/.f64 1/2 (.f64 b (.f64 d d))) (neg.f64 (/.f64 (.f64 a a) (.f64 (.f64 d d) (pow.f64 b 3))))) (/.f64 1 b)))
(-.f64 (fma.f64 (.f64 c c) (+.f64 (/.f64 1/2 (.f64 d (.f64 b d))) (/.f64 (.f64 (/.f64 a d) (/.f64 a d)) (pow.f64 b 3))) (/.f64 1 b)) (.f64 (/.f64 a d) (/.f64 c (.f64 b b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 d 2) b))) (.f64 -1 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 d 2) (pow.f64 b 3))))) a)) (.f64 d b))) (+.f64 (.f64 -1 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2)))) (+.f64 (.f64 (pow.f64 c 2) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 d 2) b))) (.f64 -1 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 d 2) (pow.f64 b 3)))))) (/.f64 1 b))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) d) (/.f64 (.f64 a (-.f64 (/.f64 1/2 (.f64 b (.f64 d d))) (neg.f64 (/.f64 (.f64 a a) (.f64 (.f64 d d) (pow.f64 b 3)))))) b)) (fma.f64 -1 (.f64 (/.f64 c d) (/.f64 a (.f64 b b))) (fma.f64 (.f64 c c) (-.f64 (/.f64 1/2 (.f64 b (.f64 d d))) (neg.f64 (/.f64 (.f64 a a) (.f64 (*.f64 d d) (pow.f64 b 3))))) (/.f64 1 b))))
(-.f64 (-.f64 (fma.f64 (.f64 c c) (+.f64 (/.f64 1/2 (.f64 d (.f64 b d))) (/.f64 (.f64 (/.f64 a d) (/.f64 a d)) (pow.f64 b 3))) (/.f64 1 b)) (.f64 (/.f64 a d) (/.f64 c (.f64 b b)))) (.f64 (/.f64 (pow.f64 c 3) d) (/.f64 a (/.f64 b (+.f64 (/.f64 1/2 (.f64 d (.f64 b d))) (/.f64 (.f64 (/.f64 a d) (/.f64 a d)) (pow.f64 b 3)))))))
(/.f64 1 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) (*.f64 c (pow.f64 a 2)))) (/.f64 1 a))
(fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 (/.f64 b (.f64 a a)) (/.f64 d c)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3)))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (/.f64 1 a))) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (*.f64 c c)) (pow.f64 a 3))))
(+.f64 (-.f64 (fma.f64 1/2 (.f64 (/.f64 d (.f64 c c)) (/.f64 d a)) (/.f64 1 a)) (.f64 (/.f64 b (.f64 a a)) (/.f64 d c))) (.f64 (/.f64 (.f64 d d) (pow.f64 a 3)) (*.f64 (/.f64 b c) (/.f64 b c))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 d (.f64 c c)) (/.f64 d a)) (/.f64 1 a)) (fma.f64 (neg.f64 (/.f64 d c)) (/.f64 b (.f64 a a)) (.f64 (/.f64 (.f64 d d) (pow.f64 a 3)) (.f64 (/.f64 b c) (/.f64 b c)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 d (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (pow.f64 a 3)))) b)) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a)))) (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 (.f64 b d) (-.f64 (.f64 1/2 (/.f64 (.f64 d d) a)) (neg.f64 (/.f64 (.f64 d d) (/.f64 (pow.f64 a 3) (.f64 b b)))))) (.f64 a (pow.f64 c 3))) (fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (/.f64 1 a)))) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 c c)) (pow.f64 a 3))))
(+.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 a 3)) (.f64 (/.f64 b c) (/.f64 b c))) (-.f64 (-.f64 (fma.f64 1/2 (.f64 (/.f64 d (.f64 c c)) (/.f64 d a)) (/.f64 1 a)) (.f64 (/.f64 b (.f64 a a)) (/.f64 d c))) (.f64 (/.f64 d (pow.f64 c 3)) (/.f64 (fma.f64 1/2 (/.f64 d (/.f64 a d)) (.f64 (/.f64 (.f64 d d) (pow.f64 a 3)) (*.f64 b b))) (/.f64 a b)))))
(+.f64 (-.f64 (fma.f64 1/2 (.f64 (/.f64 d (.f64 c c)) (/.f64 d a)) (/.f64 1 a)) (.f64 (/.f64 b (.f64 a a)) (/.f64 d c))) (fma.f64 (neg.f64 (/.f64 d (pow.f64 c 3))) (/.f64 (fma.f64 1/2 (/.f64 d (/.f64 a d)) (.f64 (/.f64 (.f64 d d) (pow.f64 a 3)) (.f64 b b))) (/.f64 a b)) (.f64 (/.f64 (.f64 d d) (pow.f64 a 3)) (.f64 (/.f64 b c) (/.f64 b c)))))
(/.f64 -1 a)
(-.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (/.f64 1 a))
(-.f64 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (/.f64 1 a))
(fma.f64 (/.f64 d c) (/.f64 b (*.f64 a a)) (/.f64 -1 a))
(fma.f64 (/.f64 b (*.f64 a a)) (/.f64 d c) (/.f64 -1 a))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.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 1 a)))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (.f64 (/.f64 d c) (/.f64 b (.f64 a a)))) (+.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)) (.f64 (/.f64 -1/2 a) (.f64 (/.f64 d c) (/.f64 d c)))) (fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) (/.f64 (*.f64 b b) (pow.f64 a 3)) (/.f64 1 a)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (+.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (.f64 -1 (/.f64 (.f64 d (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) a)) (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (pow.f64 a 3))) b)) (.f64 (pow.f64 c 3) 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 (fma.f64 -1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (.f64 (/.f64 d c) (/.f64 b (.f64 a a)))) (neg.f64 (.f64 (/.f64 d (pow.f64 c 3)) (/.f64 (.f64 b (-.f64 (/.f64 (.f64 -1/2 (.f64 d d)) a) (/.f64 (.f64 d d) (/.f64 (pow.f64 a 3) (.f64 b b))))) a)))) (+.f64 (/.f64 1 a) (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (*.f64 c c)) (pow.f64 a 3))))
(-.f64 (-.f64 (fma.f64 (/.f64 d c) (/.f64 b (.f64 a a)) (.f64 (/.f64 -1/2 a) (.f64 (/.f64 d c) (/.f64 d c)))) (.f64 (/.f64 d (pow.f64 c 3)) (/.f64 (fma.f64 (/.f64 d (/.f64 a d)) -1/2 (/.f64 (.f64 (neg.f64 (.f64 b b)) (.f64 d d)) (pow.f64 a 3))) (/.f64 a b)))) (fma.f64 (.f64 (/.f64 d c) (/.f64 d c)) (/.f64 (*.f64 b b) (pow.f64 a 3)) (/.f64 1 a)))
(/.f64 1 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) (*.f64 c (pow.f64 a 2)))) (/.f64 1 a))
(fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (/.f64 1 a))
(-.f64 (/.f64 1 a) (.f64 (/.f64 b (.f64 a a)) (/.f64 d c)))
(+.f64 (.f64 (pow.f64 d 2) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) a))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 3)))))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2)))) (/.f64 1 a)))
(fma.f64 (.f64 d d) (-.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (neg.f64 (/.f64 (/.f64 (.f64 b b) (.f64 c c)) (pow.f64 a 3)))) (fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (*.f64 a a))) (/.f64 1 a)))
(fma.f64 (.f64 d d) (+.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (.f64 (/.f64 b (.f64 c c)) (/.f64 b (pow.f64 a 3)))) (-.f64 (/.f64 1 a) (.f64 (/.f64 b (*.f64 a a)) (/.f64 d c))))
(+.f64 (.f64 (pow.f64 d 2) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) a))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 3)))))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2)))) (+.f64 (/.f64 1 a) (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) a))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 3))))) b)) (.f64 c a))))))
(fma.f64 (.f64 d d) (-.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (neg.f64 (/.f64 (/.f64 (.f64 b b) (.f64 c c)) (pow.f64 a 3)))) (+.f64 (fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (/.f64 1 a)) (neg.f64 (.f64 (/.f64 (pow.f64 d 3) c) (/.f64 (.f64 b (-.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (neg.f64 (/.f64 (/.f64 (.f64 b b) (*.f64 c c)) (pow.f64 a 3))))) a)))))
(fma.f64 (.f64 d d) (+.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (.f64 (/.f64 b (.f64 c c)) (/.f64 b (pow.f64 a 3)))) (-.f64 (-.f64 (/.f64 1 a) (.f64 (/.f64 b (.f64 a a)) (/.f64 d c))) (.f64 (/.f64 (pow.f64 d 3) c) (/.f64 b (/.f64 a (+.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (.f64 (/.f64 b (.f64 c c)) (/.f64 b (pow.f64 a 3)))))))))
(/.f64 1 b)
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (*.f64 d (pow.f64 b 2)))) (/.f64 1 b))
(fma.f64 -1 (.f64 (/.f64 c d) (/.f64 a (.f64 b b))) (/.f64 1 b))
(-.f64 (/.f64 1 b) (.f64 (/.f64 a d) (/.f64 c (.f64 b b))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))) (/.f64 1 b))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3)))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 c d) (/.f64 a (.f64 b b))) (fma.f64 1/2 (/.f64 (/.f64 (.f64 c c) (.f64 d d)) b) (/.f64 1 b))) (neg.f64 (.f64 (/.f64 (.f64 c c) (.f64 d d)) (/.f64 (.f64 a a) (pow.f64 b 3)))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 c (/.f64 (.f64 d (.f64 b d)) c)) (/.f64 1 b)) (.f64 (/.f64 a d) (/.f64 c (.f64 b b)))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (/.f64 a d) (/.f64 a d))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))) (+.f64 (/.f64 1 b) (.f64 -1 (/.f64 (.f64 c (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) b)) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) (.f64 (pow.f64 d 3) b)))))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (*.f64 (pow.f64 d 2) (pow.f64 b 3)))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 c d) (/.f64 a (.f64 b b))) (+.f64 (fma.f64 1/2 (/.f64 (/.f64 (.f64 c c) (.f64 d d)) b) (/.f64 1 b)) (neg.f64 (/.f64 (.f64 (.f64 c a) (-.f64 (.f64 1/2 (/.f64 (.f64 c c) b)) (neg.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))) (.f64 b (pow.f64 d 3)))))) (neg.f64 (.f64 (/.f64 (.f64 c c) (.f64 d d)) (/.f64 (*.f64 a a) (pow.f64 b 3)))))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (/.f64 a d) (/.f64 a d))) (-.f64 (-.f64 (fma.f64 1/2 (/.f64 c (/.f64 (.f64 d (.f64 b d)) c)) (/.f64 1 b)) (.f64 (/.f64 c (pow.f64 d 3)) (/.f64 (fma.f64 1/2 (/.f64 c (/.f64 b c)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))) (/.f64 b a)))) (.f64 (/.f64 a d) (/.f64 c (*.f64 b b)))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 c (/.f64 (.f64 d (.f64 b d)) c)) (/.f64 1 b)) (.f64 (/.f64 c (pow.f64 d 3)) (/.f64 (fma.f64 1/2 (/.f64 c (/.f64 b c)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))) (/.f64 b a)))) (fma.f64 (/.f64 c d) (neg.f64 (/.f64 a (.f64 b b))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 (/.f64 a d) (/.f64 a d)))))
(/.f64 -1 b)
(-.f64 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))) (/.f64 1 b))
(-.f64 (.f64 (/.f64 c d) (/.f64 a (.f64 b b))) (/.f64 1 b))
(fma.f64 (/.f64 c d) (/.f64 a (*.f64 b b)) (/.f64 -1 b))
(fma.f64 (/.f64 a d) (/.f64 c (*.f64 b b)) (/.f64 -1 b))
(-.f64 (+.f64 (.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 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (/.f64 1 b)))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (.f64 c c) (.f64 d d)) b) (.f64 (/.f64 c d) (/.f64 a (.f64 b b)))) (+.f64 (/.f64 1 b) (.f64 (/.f64 (.f64 c c) (.f64 d d)) (/.f64 (.f64 a a) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 c (/.f64 (.f64 d (.f64 b d)) c)) (-.f64 (fma.f64 (/.f64 c d) (/.f64 a (.f64 b b)) (/.f64 -1 b)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 (/.f64 a d) (/.f64 a d)))))
(fma.f64 -1/2 (/.f64 c (/.f64 (.f64 d (.f64 b d)) c)) (-.f64 (fma.f64 (/.f64 a d) (/.f64 c (.f64 b b)) (/.f64 -1 b)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 (/.f64 a d) (/.f64 a d)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))) (+.f64 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))) (.f64 -1 (/.f64 (.f64 c (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) b)) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) a)) (.f64 (pow.f64 d 3) b))))) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (/.f64 1 b)))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (.f64 c c) (.f64 d d)) b) (.f64 (/.f64 c d) (/.f64 a (.f64 b b)))) (neg.f64 (/.f64 (.f64 (.f64 c (-.f64 (.f64 -1/2 (/.f64 (.f64 c c) b)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))) a) (.f64 b (pow.f64 d 3))))) (+.f64 (/.f64 1 b) (.f64 (/.f64 (.f64 c c) (.f64 d d)) (/.f64 (*.f64 a a) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 c (/.f64 (.f64 d (.f64 b d)) c)) (-.f64 (-.f64 (.f64 (/.f64 a d) (/.f64 c (.f64 b b))) (.f64 (/.f64 c (pow.f64 d 3)) (/.f64 a (/.f64 b (-.f64 (.f64 -1/2 (/.f64 c (/.f64 b c))) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))))))) (fma.f64 (*.f64 (/.f64 c d) (/.f64 c d)) (/.f64 a (/.f64 (pow.f64 b 3) a)) (/.f64 1 b))))
(.f64 (/.f64 1 (.f64 d b)) (sqrt.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(.f64 (/.f64 1 (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
(/.f64 (hypot.f64 c d) (*.f64 b d))
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a
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(*.f64 -1 a)
(neg.f64 a)
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a
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b
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(+.f64 (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.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 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (pow.f64 c 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 d (.f64 b (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))) (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))))) c)) (.f64 (/.f64 (.f64 (pow.f64 d 3) (pow.f64 b 3)) (pow.f64 c 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))) (pow.f64 a 2))) (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (*.f64 c a)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))))))
(fma.f64 (/.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 c a)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c a) (.f64 b d))) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (pow.f64 d 3) (/.f64 (.f64 c c) (pow.f64 b 3)))) (fma.f64 -1 (/.f64 (.f64 (.f64 b d) (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (.f64 d d) (/.f64 c (.f64 b b)))))) c) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (pow.f64 d 3) (/.f64 (.f64 c c) (pow.f64 b 3)))))) (.f64 a a)) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (.f64 (.f64 b b) (.f64 d d)) (*.f64 c a)))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (+.f64 (.f64 b d) (/.f64 (.f64 (neg.f64 (.f64 b b)) (.f64 d d)) (.f64 c a)))) (/.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (.f64 (.f64 b d) 0)) c) (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (.f64 (/.f64 (pow.f64 d 3) c) (/.f64 (pow.f64 b 3) c)))))) (.f64 a a))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (+.f64 (.f64 (.f64 (/.f64 d c) (/.f64 d a)) (.f64 b b)) (.f64 c a))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 c (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))))))
(.f64 c (.f64 a (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d 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 c c) (.f64 d d)))) (+.f64 (.f64 c a) (*.f64 b d)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 d 2) (.f64 c a)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))) (.f64 (/.f64 (pow.f64 d 2) (.f64 c a)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))) (pow.f64 b 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)))))))
(fma.f64 -1 (.f64 (.f64 b b) (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (/.f64 (.f64 d d) c) a)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c a) (.f64 b d))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (fma.f64 c a (.f64 b d)) (.f64 (.f64 b b) 0))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 d 3) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))) (+.f64 (.f64 (/.f64 (pow.f64 d 3) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (/.f64 (.f64 d (+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 d 2) (.f64 c a)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))) (.f64 (/.f64 (pow.f64 d 2) (.f64 c a)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))) (.f64 c a)))) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 d 2) (.f64 c a)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))) (.f64 (/.f64 (pow.f64 d 2) (.f64 c a)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))) (pow.f64 b 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))))))))
(fma.f64 -1 (.f64 (pow.f64 b 3) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (.f64 a a))) (fma.f64 (/.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (.f64 a a)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (.f64 (/.f64 d c) (/.f64 (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (/.f64 (.f64 d d) c) a))) a))))) (fma.f64 -1 (.f64 (.f64 b b) (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (/.f64 (.f64 d d) c) a)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c a) (.f64 b d)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (fma.f64 c a (.f64 b d)) (.f64 (.f64 b b) 0)) (.f64 (pow.f64 b 3) (+.f64 (.f64 (/.f64 0 a) (/.f64 d c)) (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (/.f64 (pow.f64 d 3) (.f64 c (.f64 a (.f64 c a)))))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))
(.f64 (.f64 b d) (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d 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 c c) (.f64 d d)))) (+.f64 (.f64 c a) (*.f64 b d)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))) b)) (+.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)))))))
(fma.f64 -1 (/.f64 (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (.f64 (.f64 c c) (.f64 a a)) d))) b) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c a) (.f64 b d))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (fma.f64 c a (.f64 b d)) (/.f64 0 b))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))))) d) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 d 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 d 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))))) (pow.f64 b 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))) b)) (+.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))))))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 c (/.f64 d (.f64 a (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (.f64 (.f64 c c) (.f64 a a)) d)))))) (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (pow.f64 c 3) (/.f64 (.f64 d d) (pow.f64 a 3)))))) (.f64 b b)) (fma.f64 -1 (/.f64 (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (.f64 (.f64 c c) (.f64 a a)) d))) b) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 c a) (.f64 b d)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (fma.f64 c a (.f64 b d)) (/.f64 0 b)) (/.f64 (/.f64 (.f64 (.f64 (neg.f64 c) a) 0) d) (*.f64 b b)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))
(.f64 (.f64 b d) (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d 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 c c) (.f64 d d)))) (+.f64 (.f64 c a) (*.f64 b d)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.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 -1 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.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))))))))
(fma.f64 (.f64 (/.f64 (.f64 c c) d) (/.f64 (.f64 a a) b)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (fma.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (.f64 (/.f64 (.f64 c c) d) (/.f64 (.f64 a a) b))) (.f64 (.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (+.f64 (.f64 b d) (/.f64 (.f64 (.f64 (neg.f64 a) a) (.f64 c c)) (.f64 b d)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (+.f64 (.f64 (.f64 (/.f64 c d) (/.f64 c b)) (.f64 a a)) (*.f64 c a))))
(+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.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 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 c (.f64 a (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))))) d)) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 d 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 d 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))))) (pow.f64 b 2))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.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)))))))))
(fma.f64 (.f64 (/.f64 (.f64 c c) d) (/.f64 (.f64 a a) b)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (fma.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 c (/.f64 d (.f64 a (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (.f64 (.f64 c c) (.f64 a a)) d)))))) (.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (pow.f64 c 3) (/.f64 (.f64 d d) (pow.f64 a 3)))))) (.f64 b b)) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))) (.f64 (/.f64 (.f64 c c) d) (/.f64 (.f64 a a) b))) (.f64 (.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))))))
(+.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (+.f64 (.f64 b d) (/.f64 (.f64 (.f64 (neg.f64 a) a) (.f64 c c)) (.f64 b d)))) (/.f64 (/.f64 (.f64 (.f64 (neg.f64 c) a) 0) d) (.f64 b b))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (+.f64 (.f64 (.f64 (/.f64 c d) (/.f64 c b)) (.f64 a a)) (.f64 c a))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (+.f64 (.f64 b d) (/.f64 (.f64 (.f64 (neg.f64 a) a) (.f64 c c)) (.f64 b d))) (/.f64 (neg.f64 (/.f64 (.f64 (.f64 (neg.f64 c) a) 0) d)) (.f64 b b))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (.f64 d d)))) (+.f64 (.f64 (.f64 (/.f64 c d) (/.f64 c b)) (.f64 a a)) (*.f64 c a))))

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	18.1b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series11.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	c	@	-inf	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
1.0ms	a	@	0	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
1.0ms	a	@	inf	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
1.0ms	c	@	0	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
1.0ms	c	@	inf	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`prod-diff_binary64`
521×	`log-prod_binary64`
368×	`pow-prod-down_binary64`
259×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	196	13
2	2837	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
536×	`associate-/r/_binary64`
500×	`associate-/l/_binary64`
347×	`sub-neg_binary64`
310×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	930
1	149	876
2	482	822
3	2612	798
4	6647	798

Stop Event

1×	node limit

Counts

87 → 68

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.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 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 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 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 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 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 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (/.f64 (.f64 c a) (*.f64 d d)))
(-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6))))
(+.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (*.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a))
(fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 (pow.f64 c 5) (pow.f64 d 6))))
(.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 c (.f64 d d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 7)) (pow.f64 d 8)) (/.f64 (.f64 c a) (*.f64 d d)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a) (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a))) (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d))))
(-.f64 (/.f64 a c) (.f64 (/.f64 d (pow.f64 c 3)) (.f64 a d)))
(-.f64 (/.f64 a c) (.f64 d (.f64 d (/.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))))
(fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d)))))
(+.f64 (/.f64 a c) (.f64 a (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 (.f64 d d) (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 (.f64 a (pow.f64 d 6)) (pow.f64 c 7)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (-.f64 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (*.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (.f64 a d))))) (.f64 (pow.f64 d 6) (/.f64 a (pow.f64 c 7))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 a (+.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (.f64 d d) (pow.f64 c 3)))))
(-.f64 (/.f64 a c) (fma.f64 (.f64 d d) (/.f64 a (pow.f64 c 3)) (.f64 a (-.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d))))
(-.f64 (/.f64 a c) (.f64 (/.f64 d (pow.f64 c 3)) (.f64 a d)))
(-.f64 (/.f64 a c) (.f64 d (.f64 d (/.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))))
(fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d)))))
(+.f64 (/.f64 a c) (.f64 a (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 (.f64 d d) (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 (.f64 a (pow.f64 d 6)) (pow.f64 c 7)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (-.f64 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (*.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (.f64 a d))))) (.f64 (pow.f64 d 6) (/.f64 a (pow.f64 c 7))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 a (+.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (.f64 d d) (pow.f64 c 3)))))
(-.f64 (/.f64 a c) (fma.f64 (.f64 d d) (/.f64 a (pow.f64 c 3)) (.f64 a (-.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d))))
(-.f64 (/.f64 a c) (.f64 (/.f64 d (pow.f64 c 3)) (.f64 a d)))
(-.f64 (/.f64 a c) (.f64 d (.f64 d (/.f64 a (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))))
(fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d)))))
(+.f64 (/.f64 a c) (.f64 a (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 (.f64 d d) (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 (.f64 a (pow.f64 d 6)) (pow.f64 c 7)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (-.f64 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (*.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (.f64 a d))))) (.f64 (pow.f64 d 6) (/.f64 a (pow.f64 c 7))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 a (+.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (.f64 d d) (pow.f64 c 3)))))
(-.f64 (/.f64 a c) (fma.f64 (.f64 d d) (/.f64 a (pow.f64 c 3)) (.f64 a (-.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (/.f64 (.f64 c a) (*.f64 d d)))
(-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6))))
(+.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (*.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a))
(fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 (pow.f64 c 5) (pow.f64 d 6))))
(.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 c (.f64 d d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 7)) (pow.f64 d 8)) (/.f64 (.f64 c a) (*.f64 d d)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a) (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a))) (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (/.f64 (.f64 c a) (*.f64 d d)))
(-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6))))
(+.f64 (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (*.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a))
(fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 (pow.f64 c 5) (pow.f64 d 6))))
(.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 c (.f64 d d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 7)) (pow.f64 d 8)) (/.f64 (.f64 c a) (*.f64 d d)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a) (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a))) (-.f64 (.f64 (/.f64 c d) (/.f64 a d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
	0.0b	(hypot.f64 c d)
✓	0.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))

Compiler

Compiled 26 to 12 computations (53.8% saved)

series11.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
1.0ms	c	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
1.0ms	b	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
1.0ms	d	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
1.0ms	c	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
679×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
664×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	181	14
2	2238	14

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

923×	`associate-/l*_binary64`
896×	`times-frac_binary64`
517×	`associate-/r*_binary64`
365×	`associate-*l/_binary64`
280×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	1858
1	736	1756
2	2810	1678

Stop Event

1×	node limit

Counts

107 → 119

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4))))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4)) (.f64 (pow.f64 c 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 d 2))) (*.f64 1/8 (/.f64 b (pow.f64 d 7))))))))
(*.f64 -1 (/.f64 b c))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (*.f64 -1 (/.f64 b c)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 d 6) b) (pow.f64 c 7))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 d 2)) (pow.f64 c 7))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))))
(/.f64 b c)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (*.f64 (pow.f64 d 4) b))) (pow.f64 c 5)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))))) (.f64 1/8 (.f64 (pow.f64 d 6) b))) (pow.f64 c 7))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 c 5))))))
(*.f64 -1 (/.f64 b c))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (*.f64 -1 (/.f64 b c)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 d 4))))
(+.f64 (.f64 (pow.f64 d 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 c 2))) (.f64 1/8 (/.f64 b (pow.f64 c 7))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (*.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 d 4)))))
(*.f64 -1 (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b)))) (pow.f64 d 7))) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 6) b) (pow.f64 d 7))))))))
(/.f64 b d)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 6) b)) (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b)))))) (pow.f64 d 7))) (/.f64 b d))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(+.f64 (.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))))) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5))))))
(/.f64 -1 c)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))) (/.f64 1 c))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 7))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))) (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))) (/.f64 1 c))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (/.f64 1 c)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (/.f64 1 c) (*.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))))
(/.f64 -1 d)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))) (/.f64 1 d))

Outputs
(*.f64 -1 (/.f64 b d))
(neg.f64 (/.f64 b d))
(/.f64 (neg.f64 b) d)
(+.f64 (.f64 -1 (/.f64 b d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(fma.f64 -1 (/.f64 b d) (.f64 1/2 (/.f64 (.f64 b (*.f64 c c)) (pow.f64 d 3))))
(-.f64 (.f64 1/2 (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b)) (/.f64 b d))
(-.f64 (.f64 (/.f64 1/2 (pow.f64 d 3)) (.f64 b (*.f64 c c))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4))))
(fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (.f64 (.f64 (/.f64 b (pow.f64 d 5)) -3/8) (pow.f64 c 4))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (.f64 (/.f64 b (pow.f64 d 5)) (.f64 (pow.f64 c 4) -3/8))) (/.f64 b d))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) (.f64 b -3/8)))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4)) (.f64 (pow.f64 c 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 d 2))) (*.f64 1/8 (/.f64 b (pow.f64 d 7))))))))
(fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 (.f64 (/.f64 b (pow.f64 d 5)) -3/8) (pow.f64 c 4) (.f64 (pow.f64 c 6) (fma.f64 -1/2 (/.f64 (.f64 (/.f64 b (pow.f64 d 5)) -3/8) (.f64 d d)) (*.f64 1/8 (/.f64 b (pow.f64 d 7))))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (fma.f64 (.f64 (/.f64 b (pow.f64 d 5)) -3/8) (pow.f64 c 4) (.f64 (pow.f64 c 6) (fma.f64 -1/2 (.f64 (/.f64 (/.f64 b (pow.f64 d 5)) d) (/.f64 -3/8 d)) (.f64 1/8 (/.f64 b (pow.f64 d 7))))))) (/.f64 b d))
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(neg.f64 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 b (neg.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 b (neg.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 b (neg.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 b (neg.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 b (neg.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (+.f64 (/.f64 1 d) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(+.f64 (.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (+.f64 (/.f64 1 d) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 1 c))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) (neg.f64 (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 5))))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))))) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 d d) (.f64 (pow.f64 d 4) -3/8)) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7)) (+.f64 (/.f64 1 c) (neg.f64 (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (-.f64 (-.f64 (/.f64 1 c) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8)) (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 d 6) -3/8) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c))) (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 d 6) -3/8) (*.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7)))
(/.f64 -1 c)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(-.f64 (/.f64 (.f64 1/2 (.f64 d d)) (pow.f64 c 3)) (/.f64 1 c))
(fma.f64 1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 -1 c))
(fma.f64 1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 -1 c))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))) (/.f64 1 c))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8)) (/.f64 1 c))
(fma.f64 1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8 (/.f64 -1 c)))
(fma.f64 1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8 (/.f64 -1 c)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 7))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))) (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))) (/.f64 1 c))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (fma.f64 -1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 7) (.f64 (pow.f64 d 4) -3/8))) (fma.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (fma.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (.f64 -1/8 (pow.f64 d 4)) (pow.f64 c 5)))))) (/.f64 1 c))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 d 6) -3/8) (pow.f64 c 7)) (+.f64 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8) (/.f64 (pow.f64 d 6) (/.f64 (pow.f64 c 7) 1/8)))) (fma.f64 1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 -1 c)))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 d 6) -3/8) (pow.f64 c 7)) (+.f64 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8) (/.f64 1/8 (/.f64 (pow.f64 c 7) (pow.f64 d 6))))) (fma.f64 1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 -1 c)))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 1 c))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (/.f64 1 c)))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) (neg.f64 (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 5))))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (/.f64 1 c) (*.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (+.f64 (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)) (/.f64 (.f64 -5/16 (pow.f64 d 6)) (pow.f64 c 7))))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (fma.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 1 c))))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (fma.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 1 c))))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)))
(fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (+.f64 (/.f64 1 d) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 c c) (.f64 (pow.f64 c 4) -3/8)) (.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 c 4) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))) (/.f64 (fma.f64 (pow.f64 c 6) 1/8 (.f64 -1/2 (*.f64 (pow.f64 c 6) -3/8))) (pow.f64 d 7)))
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))) (/.f64 (fma.f64 (pow.f64 c 6) 1/8 (.f64 -1/2 (.f64 (pow.f64 c 6) -3/8))) (pow.f64 d 7)))
(/.f64 -1 d)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(-.f64 (/.f64 (.f64 1/2 (.f64 c c)) (pow.f64 d 3)) (/.f64 1 d))
(fma.f64 1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 -1 d))
(fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 -1 d))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)) (/.f64 1 d))
(fma.f64 1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d)))
(fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))) (/.f64 1 d))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 7) (.f64 (pow.f64 c 4) -3/8))) (fma.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)))) (/.f64 1 d))
(+.f64 (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 c 6) -3/8) (pow.f64 d 7)) (fma.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))))) (/.f64 -1 d))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) -3/8) (fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8))) (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (/.f64 -1 d)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 a c (*.f64 b d))
✓	0.9b	(.f64 (/.f64 (fma.f64 a c (.f64 b d)) d) (/.f64 1 d))
✓	11.2b	(/.f64 (fma.f64 a c (*.f64 b d)) d)

Compiler

Compiled 41 to 13 computations (68.3% saved)

series9.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) d)
1.0ms	d	@	-inf	(/.f64 (fma.f64 a c (*.f64 b d)) d)
0.0ms	a	@	-inf	(/.f64 (fma.f64 a c (*.f64 b d)) d)
0.0ms	d	@	inf	(/.f64 (fma.f64 a c (*.f64 b d)) d)
0.0ms	c	@	-inf	(/.f64 (fma.f64 a c (*.f64 b d)) d)

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
283×	`pow2_binary64`
214×	`pow-unpow_binary64`
203×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	225	25
2	2889	25

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify129.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

993×	`associate-/r/_binary64`
886×	`*-commutative_binary64`
612×	`times-frac_binary64`
592×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	1068
1	25	1068
2	45	924
3	94	924
4	246	924
5	891	924
6	3980	924
7	4887	924
8	5097	924
9	5316	924
10	5544	924
11	5879	924
12	7379	924

Stop Event

1×	node limit

Counts

202 → 116

Calls

Call 1

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

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

eval341.0ms (4.1%)

Compiler: Compiled 19856 to 9683 computations (51.2% saved)

prune184.0ms (2.2%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	754	17	771
Fresh	5	10	15
Picked	1	0	1
Done	3	4	7
Total	763	31	794

Error

0.0b

Counts

794 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	38.0b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	40.0b	(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
	56.3b	(/.f64 (neg.f64 b) d)
	43.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 c d))))
	34.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (/.f64 (hypot.f64 c d) (.f64 d b)) -1))
▶	39.0b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
	51.7b	(.f64 c (/.f64 a (.f64 d d)))
	50.9b	(.f64 (/.f64 (.f64 c a) d) (/.f64 1 d))
	42.0b	(/.f64 b (hypot.f64 c d))
	49.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) c))
	32.0b	(.f64 (/.f64 1 (-.f64 (.f64 -1/2 (*.f64 (/.f64 c d) c)) d)) (neg.f64 b))
	32.5b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
▶	17.0b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
	57.9b	(/.f64 (neg.f64 b) c)
	52.2b	(/.f64 (.f64 c a) (.f64 d d))
	17.6b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))) 3)
✓	36.7b	(/.f64 b d)
	42.2b	(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 3)
	32.0b	(.f64 (+.f64 b (/.f64 (.f64 c a) d)) (/.f64 1 d))
✓	40.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	36.8b	(*.f64 b (/.f64 1 d))
	58.0b	(*.f64 (/.f64 -1 c) (neg.f64 b))
▶	49.8b	(*.f64 c (/.f64 (/.f64 a d) d))
	42.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (.f64 (/.f64 c d) (/.f64 c d)))))))
▶	30.3b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	39.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	58.0b	(/.f64 b c)
✓	38.1b	(/.f64 a c)
	48.8b	(.f64 (.f64 c (/.f64 a d)) (/.f64 1 d))
✓	43.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
	33.5b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))

Compiler

Compiled 830 to 522 computations (37.1% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (hypot.f64 c d) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)))
✓	0.3b	(fma.f64 c a (*.f64 d b))
✓	0.3b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
✓	15.9b	(/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))

Compiler

Compiled 61 to 12 computations (80.3% saved)

series41.0ms (0.5%)

Counts

4 → 192

Calls

48 calls:

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

rewrite136.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log-prod_binary64`
389×	`pow-prod-down_binary64`
319×	`pow2_binary64`
263×	`prod-diff_binary64`
242×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	250	56
2	3280	56

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

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

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

538×	`cancel-sign-sub-inv_binary64`
373×	`associate-/l/_binary64`
352×	`times-frac_binary64`
331×	`distribute-rgt-neg-in_binary64`
302×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	5325
1	957	4972
2	4150	4898

Stop Event

1×	node limit

Counts

362 → 279

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 a d) d)
✓	6.4b	(*.f64 c (/.f64 (/.f64 a d) d))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
800×	`add-log-exp_binary64`
800×	`log1p-expm1-u_binary64`
800×	`expm1-log1p-u_binary64`
782×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2140	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 a d) d)

Outputs

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

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

simplify106.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

964×	`associate-/r/_binary64`
881×	`*-commutative_binary64`
630×	`times-frac_binary64`
525×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	528
1	17	528
2	36	528
3	77	528
4	215	528
5	812	528
6	3801	528
7	4624	528
8	4834	528
9	5053	528
10	5281	528
11	5612	528
12	7112	528

Stop Event

1×	node limit

Counts

121 → 65

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
✓	3.2b	(*.f64 (/.f64 c d) (/.f64 a d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series6.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
0.0ms	c	@	0	(*.f64 (/.f64 c d) (/.f64 a d))
0.0ms	c	@	inf	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
0.0ms	c	@	-inf	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
0.0ms	b	@	-inf	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
364×	`fma-def_binary64`
318×	`pow2_binary64`
251×	`log-div_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	227	24
2	3639	24

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 c a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c a) (*.f64 d d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 (/.f64 d a) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 d (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 (*.f64 d d) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 d (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c d) (/.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (/.f64 d c) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 d (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a d) (/.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 d a) (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 d d) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 d (*.f64 c (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 (/.f64 d c) (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (*.f64 (/.f64 d a) (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 a d)) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c (/.f64 a d))) 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simplify132.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/r/_binary64`
851×	`*-commutative_binary64`
624×	`times-frac_binary64`
533×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	1020
1	20	1020
2	38	948
3	84	948
4	226	948
5	836	948
6	3878	948
7	4779	948
8	4989	948
9	5209	948
10	5437	948
11	5774	948
12	7224	948

Stop Event

1×	node limit

Counts

230 → 151

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d d (*.f64 c c))
✓	6.9b	(/.f64 (fma.f64 d d (*.f64 c c)) a)
✓	10.9b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series10.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
885×	`add-log-exp_binary64`
885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	171	30
2	2396	30

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(/.f64 (fma.f64 d d (*.f64 c c)) a)
(fma.f64 d d (*.f64 c c))

Outputs

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

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

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

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
541×	`associate-/r/_binary64`
506×	`associate-/l/_binary64`
347×	`sub-neg_binary64`
309×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	1620
1	152	1506
2	486	1452
3	2619	1428
4	6667	1428

Stop Event

1×	node limit

Counts

192 → 127

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 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 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 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 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 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 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 (pow.f64 c 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 d 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 d 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 d 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 c 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 c 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(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))
(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))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (/.f64 (.f64 c a) (*.f64 d d)))
(-.f64 (/.f64 (.f64 c a) (.f64 d d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6))))
(+.f64 (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 a (/.f64 (pow.f64 d 6) (pow.f64 c 5))))
(fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 c (.f64 d d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 7)) (pow.f64 d 8)) (/.f64 (.f64 c a) (*.f64 d d)))))
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(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (pow.f64 d 2) a)
(/.f64 (*.f64 d d) a)
(/.f64 d (/.f64 a d))
(*.f64 (/.f64 d a) d)
(*.f64 d (/.f64 d a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (pow.f64 d 2) a)
(/.f64 (*.f64 d d) a)
(/.f64 d (/.f64 a d))
(*.f64 (/.f64 d a) d)
(*.f64 d (/.f64 d a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(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 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(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 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(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 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(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 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(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 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(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 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))

eval185.0ms (2.2%)

Compiler: Compiled 11981 to 4619 computations (61.4% saved)

prune167.0ms (2%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	608	14	622
Fresh	6	16	22
Picked	1	0	1
Done	3	5	8
Total	618	35	653

Error

Counts

653 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	34.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (/.f64 (hypot.f64 c d) (.f64 d b)) -1))
	48.8b	(/.f64 (*.f64 c (/.f64 a d)) d)
	36.8b	(/.f64 1 (/.f64 d b))
	34.6b	(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
	48.8b	(/.f64 1 (/.f64 d (*.f64 c (/.f64 a d))))
	50.9b	(.f64 (/.f64 (.f64 c a) d) (/.f64 1 d))
	42.0b	(/.f64 b (hypot.f64 c d))
	49.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) c))
	49.5b	(/.f64 c (/.f64 d (/.f64 a d)))
	39.0b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	48.3b	(/.f64 c (/.f64 (*.f64 c c) a))
✓	38.1b	(/.f64 a c)
	32.0b	(.f64 (/.f64 1 (-.f64 (.f64 -1/2 (*.f64 (/.f64 c d) c)) d)) (neg.f64 b))
	32.5b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
	52.2b	(/.f64 (.f64 c a) (.f64 d d))
	43.0b	(/.f64 1 (/.f64 (hypot.f64 c d) (+.f64 a (*.f64 (/.f64 d c) b))))
	17.6b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))) 3)
	57.9b	(/.f64 (neg.f64 b) c)
	49.6b	(/.f64 c (*.f64 d (/.f64 d a)))
✓	43.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
	32.0b	(.f64 (+.f64 b (/.f64 (.f64 c a) d)) (/.f64 1 d))
	34.8b	(/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a))))
	36.8b	(*.f64 b (/.f64 1 d))
	38.2b	(/.f64 1 (/.f64 c a))
	58.0b	(*.f64 (/.f64 -1 c) (neg.f64 b))
	41.8b	(/.f64 1 (/.f64 (hypot.f64 c d) (+.f64 b (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (.f64 (/.f64 c d) a)))))
✓	49.8b	(*.f64 c (/.f64 (/.f64 a d) d))
	33.5b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	45.9b	(/.f64 c (*.f64 c (/.f64 c a)))
	42.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (.f64 (/.f64 c d) (/.f64 c d)))))))
	39.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	56.3b	(/.f64 (neg.f64 b) d)
✓	58.0b	(/.f64 b c)
	38.6b	(/.f64 1 (+.f64 (-.f64 (/.f64 d b) (.f64 (/.f64 c b) (/.f64 a b))) (/.f64 (.f64 (+.f64 (/.f64 (.f64 a a) (.f64 b b)) 1) (/.f64 c (/.f64 b c))) d)))
✓	36.7b	(/.f64 b d)

Compiler

Compiled 498 to 317 computations (36.3% saved)

regimes1.1s (13.6%)

Counts

64 → 7

Calls

Call 1

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

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

Calls

5 calls:

322.0ms	c
299.0ms	b
233.0ms	a
222.0ms	d
39.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
12.1b	6	`a`
12.1b	8	`b`
7.0b	7	`c`
7.6b	5	`d`
9.4b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 809 to 276 computations (65.9% saved)

bsearch147.0ms (1.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
21.0ms	4.274990621935937e+42	1.5331511308710937e+50
25.0ms	1.378199726046007e-224	1.0912859289478158e-218
24.0ms	-6.0863868367415625e-46	-1.0137562402137572e-48
25.0ms	-4.2080102472304264e+61	-3.207140875114876e+59
28.0ms	-3.925657958005623e+128	-1.0871780435531078e+128
22.0ms	-4.836137970441789e+171	-1.3907962052298162e+169

Compiler

Compiled 63 to 40 computations (36.5% saved)

regimes286.0ms (3.4%)

Accuracy

Total -42.2b remaining (-204.5%)

Threshold costs -42.2b (-204.5%)

Counts

20 → 5

Calls

Call 1

Inputs
(/.f64 1 (/.f64 d (*.f64 c (/.f64 a d))))
(.f64 (/.f64 (.f64 c a) d) (/.f64 1 d))
(.f64 (.f64 c (/.f64 a d)) (/.f64 1 d))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 c (*.f64 c (/.f64 c a)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 -1 c) (neg.f64 b))
(/.f64 1 (/.f64 d b))
(/.f64 1 (/.f64 c a))
(*.f64 b (/.f64 1 d))
(/.f64 (neg.f64 b) d)
(/.f64 (neg.f64 b) c)
(/.f64 b c)
(/.f64 b d)
(/.f64 a c)

Outputs
(/.f64 a c)
(/.f64 1 (/.f64 d b))
(/.f64 a c)
(/.f64 b d)
(/.f64 a c)

Calls

4 calls:

101.0ms	b
65.0ms	a
61.0ms	c
52.0ms	d

Results

Error	Segments	Branch
28.6b	7	`a`
24.0b	9	`b`
20.6b	5	`c`
22.8b	3	`d`

Compiler

Compiled 145 to 68 computations (53.1% saved)

bsearch95.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	7.959857781549624e-21	2.2608392803809806e-18
25.0ms	-3.132358103555647e-25	-8.919365427691279e-29
25.0ms	-8.075702831282139e+127	-6.260046536740934e+125
22.0ms	-3.0522014657303375e+163	-5.605916004438807e+150

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	217
1	76	217

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 c -4836137970441788732329782158435192018549751123391492282107996373862247168457082252273068133883573582052917397920586168851414787445876061831100407803114033174185449959194624) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (if (<=.f64 c -392565795800562271059879765222657713787172677850591461848975863622487504273159613329474968564397895938937396392626350195677855744) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 c -42080102472304264490206232851652922349939151721103257709314048) (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c -7824357248029719/12855504354071922204335696738729300820177623950262342682411008) (*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (/.f64 1 d)) (if (<=.f64 c 4274990621935937275393600793325445310316544) (*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))))))))

(if (<=.f64 c -30522014657303374563878629890773522942975544394711846846158831204120990259465925940314503509610010217467558682211148243661672957116484194817310821790700030159486976) (/.f64 a c) (if (<=.f64 c -80757028312821390311998319603973844668965615853484868593562824724113408785555097064695257636440797909209150136955694000002564096) (/.f64 1 (/.f64 d b)) (if (<=.f64 c -6821671868940145/21778071482940061661655974875633165533184) (/.f64 a c) (if (<=.f64 c 2708599246259756544/340282366920938463463374607431768211456) (/.f64 b d) (/.f64 a c)))))

Outputs
(if (<=.f64 c -4836137970441788732329782158435192018549751123391492282107996373862247168457082252273068133883573582052917397920586168851414787445876061831100407803114033174185449959194624) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (if (<=.f64 c -392565795800562271059879765222657713787172677850591461848975863622487504273159613329474968564397895938937396392626350195677855744) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 c -42080102472304264490206232851652922349939151721103257709314048) (fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))) (if (<=.f64 c -7824357248029719/12855504354071922204335696738729300820177623950262342682411008) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (.f64 (+.f64 b (/.f64 (.f64 c a) d)) (/.f64 1 d)) (if (<=.f64 c 4274990621935937275393600793325445310316544) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))))))))
(if (<=.f64 c -4836137970441788732329782158435192018549751123391492282107996373862247168457082252273068133883573582052917397920586168851414787445876061831100407803114033174185449959194624) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (if (<=.f64 c -392565795800562271059879765222657713787172677850591461848975863622487504273159613329474968564397895938937396392626350195677855744) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (if (<=.f64 c -42080102472304264490206232851652922349939151721103257709314048) (fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))) (if (<=.f64 c -7824357248029719/12855504354071922204335696738729300820177623950262342682411008) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (if (<=.f64 c 5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (.f64 (+.f64 b (/.f64 (.f64 c a) d)) (/.f64 1 d)) (if (<=.f64 c 4274990621935937275393600793325445310316544) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))) (+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))))))))
(if (<=.f64 c -30522014657303374563878629890773522942975544394711846846158831204120990259465925940314503509610010217467558682211148243661672957116484194817310821790700030159486976) (/.f64 a c) (if (<=.f64 c -80757028312821390311998319603973844668965615853484868593562824724113408785555097064695257636440797909209150136955694000002564096) (/.f64 1 (/.f64 d b)) (if (<=.f64 c -6821671868940145/21778071482940061661655974875633165533184) (/.f64 a c) (if (<=.f64 c 2708599246259756544/340282366920938463463374607431768211456) (/.f64 b d) (/.f64 a c)))))
(if (<=.f64 c -30522014657303374563878629890773522942975544394711846846158831204120990259465925940314503509610010217467558682211148243661672957116484194817310821790700030159486976) (/.f64 a c) (if (<=.f64 c -80757028312821390311998319603973844668965615853484868593562824724113408785555097064695257636440797909209150136955694000002564096) (/.f64 1 (/.f64 d b)) (if (<=.f64 c -6821671868940145/21778071482940061661655974875633165533184) (/.f64 a c) (if (<=.f64 c 5290232902851087/664613997892457936451903530140172288) (/.f64 b d) (/.f64 a c)))))

Compiler

Compiled 159 to 76 computations (52.2% saved)

soundness612.0ms (7.3%)

Algorithm

9×	egg-herbie

Rules

968×	`fma-neg_binary64`
968×	`fma-neg_binary64`
968×	`fma-neg_binary64`
835×	`times-frac_binary64`
582×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	18	18
2	22	18
0	139	2891
1	438	2686
2	1473	2556
3	7099	2535
0	48	1848
1	140	1710
2	478	1629
3	2604	1578
4	6771	1578
0	12	18
1	18	18
2	22	18
0	48	1848
1	140	1710
2	478	1629
3	2604	1578
4	6771	1578
0	12	18
1	18	18
2	22	18
0	48	1848
1	140	1710
2	478	1629
3	2604	1578
4	6771	1578
0	12	18
1	18	18
2	22	18
0	442	7785
1	1693	6143
2	7923	6143

Stop Event

1×	node limit
1×	saturated
1×	node limit
1×	saturated
1×	node limit
1×	saturated
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 813 to 501 computations (38.4% saved)

end90.0ms (1.1%)

Compiler: Compiled 155 to 70 computations (54.8% saved)