Details

analyze1.4s (31.2%)

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
23.4%	76.4%	0.2%	13
24.8%	75%	0.2%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.1s (24.4%)

Results

1.0s	8256×	body	128	valid
57.0ms	494×	body	128	invalid

preprocess20.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 70 to 36 computations (48.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	27.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

series12.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

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

rewrite55.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	264	24
2	3827	24

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

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

Outputs

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

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-neg_binary64`
446×	`associate-/l/_binary64`
337×	`times-frac_binary64`
267×	`distribute-rgt-neg-in_binary64`
238×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1512
1	137	1374
2	472	1293
3	2600	1242

Stop Event

1×	node limit

Counts

154 → 107

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)))))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))

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

prune87.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	6	108

Error

0.0b

Counts

108 → 6

Alt Table

Status	Error	Program
	27.8b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
	30.8b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
▶	17.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	27.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
	33.8b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))

Compiler

Compiled 2173 to 849 computations (60.9% saved)

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	15.9b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

series21.0ms (0.5%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	a	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	c	@	inf	(/.f64 1 (hypot.f64 c d))
1.0ms	c	@	0	(/.f64 1 (hypot.f64 c d))
1.0ms	d	@	inf	(/.f64 1 (hypot.f64 c d))

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	245	38
2	3129	38

Stop Event

1×	node limit

Counts

3 → 124

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)))
(/.f64 1 (hypot.f64 c d))

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

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

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
806×	`associate-/l*_binary64`
191×	`associate-/r/_binary64`
125×	`+-commutative_binary64`
120×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	3118
1	590	2858
2	2175	2726

Stop Event

1×	node limit

Counts

244 → 214

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

prune209.0ms (4.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	211	3	214
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	211	9	220

Error

0.0b

Counts

220 → 9

Alt Table

Status	Error	Program
	27.8b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
	30.8b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
	44.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
✓	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	46.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))
	33.8b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
✓	17.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
▶	27.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
	42.5b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))

Compiler

Compiled 5275 to 2191 computations (58.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (hypot.f64 c d) 2)
✓	1.2b	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
✓	26.3b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))

series21.0ms (0.5%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	d	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	c	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	c	@	0	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	d	@	0	(pow.f64 (hypot.f64 c d) 2)
1.0ms	d	@	0	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))

rewrite52.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
242×	`prod-diff_binary64`
217×	`expm1-udef_binary64`
217×	`log1p-udef_binary64`
192×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	267	31
2	3067	31

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

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

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

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

909×	`fma-def_binary64`
523×	`associate-/l*_binary64`
169×	`distribute-rgt-in_binary64`
153×	`distribute-lft-in_binary64`
142×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2524
1	574	2160
2	2199	2019

Stop Event

1×	node limit

Counts

204 → 162

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 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 d 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 d 2) (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))))) (+.f64 (.f64 -1/8 (pow.f64 d 6)) (*.f64 1/8 (pow.f64 d 6))))) (pow.f64 c 8))) (/.f64 1 (pow.f64 c 2)))))
(/.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 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 d 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 d 2) (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))))) (+.f64 (.f64 -1/8 (pow.f64 d 6)) (*.f64 1/8 (pow.f64 d 6))))) (pow.f64 c 8))) (/.f64 1 (pow.f64 c 2)))))
(/.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 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (pow.f64 c 2))) (+.f64 (.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6))))) (pow.f64 d 8))))))
(/.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 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (pow.f64 c 2))) (+.f64 (.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6))))) (pow.f64 d 8))))))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 (pow.f64 c 8) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 d 6))))) (*.f64 1/64 (/.f64 1 (pow.f64 d 6)))))) (+.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) (+.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 1/4 (/.f64 (pow.f64 d 4) (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 (.f64 (pow.f64 d 8) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 c 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6))))) (*.f64 1/16 (/.f64 1 (pow.f64 c 6)))))) (+.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) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.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 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 (.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 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 (.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 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.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 (/.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 (.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 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 (.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 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 (.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 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.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 (/.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 (.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 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 (.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 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 (.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 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(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 (.f64 c a) (*.f64 d d))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 c (.f64 d d)) a (/.f64 b d)) (.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b))
(+.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 (.f64 c a) (*.f64 d d)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a)) (/.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 c (/.f64 (pow.f64 d 3) c)) b (.f64 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3))))
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(-.f64 (/.f64 1 (.f64 c c)) (.f64 (/.f64 d (pow.f64 c 4)) d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (pow.f64 d 4) (.f64 (pow.f64 d 4) -5/4)) (pow.f64 c 6)) (fma.f64 -1 (/.f64 (.f64 d d) (pow.f64 c 4)) (/.f64 1 (*.f64 c c))))
(-.f64 (-.f64 (/.f64 1 (*.f64 c c)) (/.f64 d (/.f64 (pow.f64 c 4) d))) (/.f64 (neg.f64 (pow.f64 d 4)) (pow.f64 c 6)))
(+.f64 (/.f64 1 (.f64 c c)) (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 6)) (.f64 (/.f64 d (pow.f64 c 4)) d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1/4 (pow.f64 d 4)) (.f64 -1 (pow.f64 d 4)))) (pow.f64 c 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 d 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 d 2) (+.f64 (.f64 1/4 (pow.f64 d 4)) (+.f64 (.f64 -1 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))))) (+.f64 (.f64 -1/8 (pow.f64 d 6)) (*.f64 1/8 (pow.f64 d 6))))) (pow.f64 c 8))) (/.f64 1 (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (pow.f64 d 4) (.f64 (pow.f64 d 4) -5/4)) (pow.f64 c 6)) (fma.f64 -1 (/.f64 (.f64 d d) (pow.f64 c 4)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 d d) (.f64 (pow.f64 d 4) 0)) (fma.f64 -1 (.f64 (.f64 d d) (fma.f64 1/4 (pow.f64 d 4) (.f64 (pow.f64 d 4) -5/4))) (.f64 (pow.f64 d 6) 0))) (pow.f64 c 8)) (/.f64 1 (.f64 c c)))))
(-.f64 (-.f64 (-.f64 (/.f64 1 (.f64 c c)) (/.f64 (.f64 (*.f64 d d) (neg.f64 (neg.f64 (pow.f64 d 4)))) (pow.f64 c 8))) (/.f64 d (/.f64 (pow.f64 c 4) d))) (/.f64 (neg.f64 (pow.f64 d 4)) (pow.f64 c 6)))
(+.f64 (-.f64 (/.f64 1 (.f64 c c)) (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 6)) (.f64 (/.f64 d (pow.f64 c 4)) d)))
(/.f64 1 (pow.f64 c 2))
(/.f64 1 (*.f64 c c))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (.f64 d d) (pow.f64 c 4)) (/.f64 1 (.f64 c c)))
(-.f64 (/.f64 1 (*.f64 c c)) (/.f64 d (/.f64 (pow.f64 c 4) d)))
(-.f64 (/.f64 1 (.f64 c c)) (.f64 (/.f64 d (pow.f64 c 4)) d))
(+.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))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (pow.f64 d 4) (.f64 (pow.f64 d 4) -5/4)) (pow.f64 c 6)) (fma.f64 -1 (/.f64 (.f64 d d) (pow.f64 c 4)) (/.f64 1 (*.f64 c c))))
(-.f64 (-.f64 (/.f64 1 (*.f64 c c)) (/.f64 d (/.f64 (pow.f64 c 4) d))) (/.f64 (neg.f64 (pow.f64 d 4)) (pow.f64 c 6)))
(+.f64 (/.f64 1 (.f64 c c)) (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 6)) (.f64 (/.f64 d (pow.f64 c 4)) d)))
(+.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)))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (pow.f64 d 4) (.f64 (pow.f64 d 4) -5/4)) (pow.f64 c 6)) (fma.f64 -1 (/.f64 (.f64 d d) (pow.f64 c 4)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 d d) (.f64 (pow.f64 d 4) 0)) (fma.f64 -1 (.f64 (.f64 d d) (fma.f64 1/4 (pow.f64 d 4) (.f64 (pow.f64 d 4) -5/4))) (.f64 (pow.f64 d 6) 0))) (pow.f64 c 8)) (/.f64 1 (.f64 c c)))))
(-.f64 (-.f64 (-.f64 (/.f64 1 (.f64 c c)) (/.f64 (.f64 (*.f64 d d) (neg.f64 (neg.f64 (pow.f64 d 4)))) (pow.f64 c 8))) (/.f64 d (/.f64 (pow.f64 c 4) d))) (/.f64 (neg.f64 (pow.f64 d 4)) (pow.f64 c 6)))
(+.f64 (-.f64 (/.f64 1 (.f64 c c)) (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 6)) (.f64 (/.f64 d (pow.f64 c 4)) d)))
(/.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 c (/.f64 (pow.f64 d 4) c)))
(-.f64 (/.f64 1 (.f64 d d)) (.f64 (/.f64 c (pow.f64 d 4)) c))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (/.f64 1 (.f64 d d))) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))
(+.f64 (-.f64 (/.f64 1 (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 4) c))) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))
(-.f64 (+.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (.f64 (/.f64 c (pow.f64 d 4)) c))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (pow.f64 c 2))) (+.f64 (.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6))))) (pow.f64 d 8))))))
(fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8)) (+.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (/.f64 c (/.f64 (pow.f64 d 4) c)))
(+.f64 (-.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 6)) (.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 c (/.f64 (pow.f64 d 4) c)))
(-.f64 (/.f64 1 (.f64 d d)) (.f64 (/.f64 c (pow.f64 d 4)) c))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (/.f64 1 (.f64 d d))) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))
(+.f64 (-.f64 (/.f64 1 (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 4) c))) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))
(-.f64 (+.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (.f64 (/.f64 c (pow.f64 d 4)) c))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (pow.f64 c 4)) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (pow.f64 c 2))) (+.f64 (.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6))))) (pow.f64 d 8))))))
(fma.f64 -1 (/.f64 (.f64 c c) (pow.f64 d 4)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8)) (+.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 d d)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (/.f64 c (/.f64 (pow.f64 d 4) c)))
(+.f64 (-.f64 (/.f64 1 (.f64 d d)) (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 6)) (.f64 (/.f64 c (pow.f64 d 4)) 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 (.f64 (pow.f64 c 8) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 d 6))))) (*.f64 1/64 (/.f64 1 (pow.f64 d 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(fma.f64 (pow.f64 c 8) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)) (/.f64 1/64 (pow.f64 d 6)))) (+.f64 (.f64 d d) (.f64 c c)))
(fma.f64 (pow.f64 c 8) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (-.f64 (/.f64 1/64 (pow.f64 d 6)) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)))) (fma.f64 d d (*.f64 c c)))
(fma.f64 (pow.f64 c 8) (+.f64 (-.f64 (/.f64 -1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)) (.f64 (/.f64 1 (pow.f64 d 6)) 5/64)) (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) (+.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 1/4 (/.f64 (pow.f64 d 4) (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) (+.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (.f64 1/4 (/.f64 (pow.f64 d 4) (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 (.f64 (pow.f64 d 8) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 c 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6))))) (*.f64 1/16 (/.f64 1 (pow.f64 c 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(fma.f64 (pow.f64 d 8) (+.f64 (/.f64 1/64 (pow.f64 c 6)) (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (/.f64 1/16 (pow.f64 c 6))) (/.f64 1/16 (pow.f64 c 6)))) (+.f64 (.f64 d d) (.f64 c c)))
(fma.f64 (pow.f64 d 8) (+.f64 (/.f64 1/64 (pow.f64 c 6)) (-.f64 (/.f64 1/16 (pow.f64 c 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (/.f64 1/16 (pow.f64 c 6))))) (fma.f64 d d (*.f64 c c)))
(fma.f64 (pow.f64 d 8) (+.f64 (-.f64 (/.f64 -1/16 (pow.f64 c 6)) (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2)) (.f64 (/.f64 1 (pow.f64 c 6)) 5/64)) (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) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (+.f64 (.f64 d d) (+.f64 (.f64 c c) (fma.f64 -1/4 (/.f64 (pow.f64 c 4) (.f64 d d)) (fma.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (.f64 1/4 (/.f64 (pow.f64 c 4) (*.f64 d d))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (+.f64 (fma.f64 c c 0) (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (fma.f64 c c (*.f64 (/.f64 -1/8 (pow.f64 d 4)) (pow.f64 c 6)))))
(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) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (+.f64 (.f64 d d) (+.f64 (.f64 c c) (fma.f64 -1/4 (/.f64 (pow.f64 c 4) (.f64 d d)) (fma.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (.f64 1/4 (/.f64 (pow.f64 c 4) (*.f64 d d))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (+.f64 (fma.f64 c c 0) (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (fma.f64 c c (*.f64 (/.f64 -1/8 (pow.f64 d 4)) (pow.f64 c 6)))))

prune135.0ms (3.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	161	10	171

Error

0.0b

Counts

171 → 10

Alt Table

Status	Error	Program
▶	27.0b	(.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (/.f64 1 (hypot.f64 c d)) 2))
	30.8b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
	44.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
✓	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	46.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))
	33.8b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
✓	17.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	37.5b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
✓	27.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
	42.5b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))

Compiler

Compiled 3775 to 1815 computations (51.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(pow.f64 (/.f64 1 (hypot.f64 c d)) 2)
✓	26.3b	(.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (/.f64 1 (hypot.f64 c d)) 2))

series9.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(pow.f64 (/.f64 1 (hypot.f64 c d)) 2)
1.0ms	d	@	inf	(pow.f64 (/.f64 1 (hypot.f64 c d)) 2)
1.0ms	c	@	0	(pow.f64 (/.f64 1 (hypot.f64 c d)) 2)
1.0ms	d	@	0	(pow.f64 (/.f64 1 (hypot.f64 c d)) 2)
0.0ms	a	@	0	(.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (/.f64 1 (hypot.f64 c d)) 2))

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`log-prod_binary64`
227×	`prod-diff_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
191×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	261	24
2	2954	24

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

490×	`fma-def_binary64`
474×	`associate-/l*_binary64`
469×	`associate-l_binary64`
459×	`associate-/r*_binary64`
447×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	2236
1	368	2066
2	1359	1957

Stop Event

1×	node limit

Counts

122 → 94

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

prune123.0ms (2.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	155	10	165

Error

0.0b

Counts

165 → 10

Alt Table

Status	Error	Program
✓	27.0b	(.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (/.f64 1 (hypot.f64 c d)) 2))
	30.8b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
	44.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
✓	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	46.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))
	33.8b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
✓	17.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	37.5b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
✓	27.6b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
	42.5b	(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 c d) a b))

Compiler

Compiled 4041 to 2204 computations (45.5% saved)

regimes598.0ms (13.5%)

Accuracy

Total -51.9b remaining (-476.6%)

Threshold costs -51.9b (-476.6%)

Counts

49 → 7

Compiler

Compiled 652 to 227 computations (65.2% saved)

bsearch106.0ms (2.4%)

Algorithm

6×	binary-search

Calls

6 calls:

24.0ms	c
24.0ms	c
23.0ms	c
23.0ms	c
6.0ms	c

Steps

Iters	Point		Range
1.2964207563348648e+110	∈ [	1.2964207563348648e+110	,	2.523478337703304e+112	]
1e-206	∈ [	3.482342405412032e-210	,	5.9768045223026975e-205	]
-1e-225	∈ [	-2.7140512740655917e-223	,	-1.2857371229413603e-226	]
-1.086887131696847e-42	∈ [	-1.086887131696847e-42	,	-7.30056926669219e-43	]
-4.7154385585253094e-18	∈ [	-4.7154385585253094e-18	,	-6.211376126209866e-20	]
-2.416359215897456e+150	∈ [	-2.416359215897456e+150	,	-7.762648270223522e+142	]

Compiler

Compiled 103 to 58 computations (43.7% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	177
1	54	177
2	60	177
3	70	177
4	77	177
5	82	177
6	84	177

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 c -2416359215897456159809708626997549881454021066524791815103963583055981308894105033033840321886540697711944699465375936358433923700667839587082156638208) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (if (<=.f64 c -765123650438905/162259276829213363391578010288128) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c -6822501100543730/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 b d) (*.f64 (/.f64 c (*.f64 d d)) (-.f64 a (/.f64 (*.f64 b c) d)))) (if (<=.f64 c -6668014432879854/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 7229475734293037/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (+.f64 (/.f64 b d) (*.f64 (/.f64 c (*.f64 d d)) (-.f64 a (/.f64 (*.f64 b c) d)))) (if (<=.f64 c 129642075633486479599031366990886566768817181593964604225645603636995973327575333580209628926307491247500034048) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))))

Outputs

(if (<=.f64 c -2416359215897456159809708626997549881454021066524791815103963583055981308894105033033840321886540697711944699465375936358433923700667839587082156638208) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (if (<=.f64 c -765123650438905/162259276829213363391578010288128) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c -6822501100543730/6277101735386680763835789423207666416102355444464034512896) (+.f64 (/.f64 b d) (*.f64 (/.f64 c (*.f64 d d)) (-.f64 a (/.f64 (*.f64 b c) d)))) (if (<=.f64 c -6668014432879854/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 7229475734293037/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (+.f64 (/.f64 b d) (*.f64 (/.f64 c (*.f64 d d)) (-.f64 a (/.f64 (*.f64 b c) d)))) (if (<=.f64 c 129642075633486479599031366990886566768817181593964604225645603636995973327575333580209628926307491247500034048) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))))

(if (<=.f64 c -2416359215897456159809708626997549881454021066524791815103963583055981308894105033033840321886540697711944699465375936358433923700667839587082156638208) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (if (<=.f64 c -765123650438905/162259276829213363391578010288128) (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c -3411250550271865/3138550867693340381917894711603833208051177722232017256448) (+.f64 (/.f64 b d) (*.f64 (/.f64 c (*.f64 d d)) (-.f64 a (/.f64 (*.f64 c b) d)))) (if (<=.f64 c -3334007216439927/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 7229475734293037/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (+.f64 (/.f64 b d) (*.f64 (/.f64 c (*.f64 d d)) (-.f64 a (/.f64 (*.f64 c b) d)))) (if (<=.f64 c 129642075633486479599031366990886566768817181593964604225645603636995973327575333580209628926307491247500034048) (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 (/.f64 d c) b a))))))))

end113.0ms (2.6%)

Stop Event

1×

fuel

Compiler

Compiled 378 to 124 computations (67.2% saved)

Details

analyze1.4s (31.2%)

sample1.1s (24.4%)

preprocess20.0ms (0.4%)

simplify6.0ms (0.1%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series12.0ms (0.3%)

rewrite55.0ms (1.3%)

simplify64.0ms (1.4%)

prune87.0ms (2%)

localize20.0ms (0.4%)

series21.0ms (0.5%)

rewrite57.0ms (1.3%)

simplify67.0ms (1.5%)

prune209.0ms (4.7%)

localize9.0ms (0.2%)

series21.0ms (0.5%)

rewrite52.0ms (1.2%)

simplify52.0ms (1.2%)

prune135.0ms (3.1%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite48.0ms (1.1%)

simplify47.0ms (1.1%)

prune123.0ms (2.8%)

regimes598.0ms (13.5%)

bsearch106.0ms (2.4%)

simplify7.0ms (0.2%)

end113.0ms (2.6%)

Profiling