Details

analyze374.0ms (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
9.8%	9.7%	90.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 20 to 12 computations (40% saved)

sample987.0ms (8.8%)

Results

919.0ms	8256×	body	256	valid
55.0ms	497×	body	256	infinite

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

44×	`fma-def`
22×	`+-commutative`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	245
1	69	245
2	79	245
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def`
4×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	20	35
2	24	35

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)))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

26.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.3b	(+.f64 (.f64 a c) (.f64 b d))
✓	25.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series10.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`associate-*r/`
1458×	`associate-*l/`
976×	`associate-/r*`
316×	`associate-+l+`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	285	61
2	4080	61

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

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

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simplify193.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-/r/`
724×	`times-frac`
696×	`associate-/l*`
618×	`+-commutative`
592×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	11315
1	1229	10677
2	6068	10677

Stop Event

1×	node limit

Counts

287 → 268

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 1)
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(.f64 1 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(.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))))
(.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)))
(.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 (pow.f64 (hypot.f64 c d) 2))))
(.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))
(.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))))
(.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 a c (.f64 b d)))
(.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (/.f64 -1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(.f64 (/.f64 1 (pow.f64 (cbrt.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))))
(.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)))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (+.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))))
(.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)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (cbrt.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))))
(.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))) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.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)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (pow.f64 (cbrt.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))))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))) -1)
(neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a c))) (-.f64 1 (.f64 b d)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 b d))) (-.f64 1 (.f64 a c)))
(-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (pow.f64 (.f64 b d) 2) (-.f64 (.f64 a c) (.f64 b d))))
(-.f64 (+.f64 (.f64 a c) (exp.f64 (log1p.f64 (.f64 b d)))) 1)
(-.f64 (+.f64 (.f64 b d) (exp.f64 (log1p.f64 (.f64 a c)))) 1)
(.f64 (fma.f64 a c (.f64 b d)) 1)
(.f64 1 (fma.f64 a c (.f64 b d)))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (*.f64 b d))))
(.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 1 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))) (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (*.f64 b d) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) (neg.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c))))))
(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) 1) (-.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) 1) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)))) (neg.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2))) (-.f64 (.f64 b d) (*.f64 a c)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)))) (sqrt.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)))) (cbrt.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) 1) (neg.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) 1) (-.f64 (.f64 b d) (*.f64 a c)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) (sqrt.f64 (fma.f64 a c (.f64 b d)))) (sqrt.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (sqrt.f64 (fma.f64 a c (.f64 b d)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2)) (cbrt.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 b d) 2))) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (*.f64 a c) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 a c) 2) 3) (pow.f64 (pow.f64 (.f64 b d) 2) 3)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (+.f64 (.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 b d) 2)) (.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (.f64 (pow.f64 (.f64 b d) 3) (pow.f64 (.f64 b d) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))) (-.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 a c) 3) 3) (pow.f64 (pow.f64 (.f64 b d) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))) (+.f64 (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (-.f64 (.f64 (pow.f64 (.f64 b d) 3) (pow.f64 (.f64 b d) 3)) (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (*.f64 b d) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) 1) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (sqrt.f64 (-.f64 (.f64 a c) (.f64 b d)))) (sqrt.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (-.f64 (.f64 a c) (.f64 b d))))) (cbrt.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (+.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 a c)))) (-.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 b d))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) 1) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(pow.f64 (fma.f64 a c (*.f64 b d)) 1)
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 2)
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 3)
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 1 (.f64 a c) (.f64 b d))
(fma.f64 1 (.f64 b d) (.f64 a c))
(fma.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b d)) 2) (cbrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.f64 (.f64 a c)) (*.f64 b d))
(-.f64 (exp.f64 (log1p.f64 (.f64 c c))) (-.f64 1 (.f64 d d)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 d d))) (-.f64 1 (.f64 c c)))
(-.f64 (/.f64 (pow.f64 c 4) (-.f64 (.f64 c c) (.f64 d d))) (/.f64 (/.f64 (pow.f64 d 4) (+.f64 c d)) (-.f64 c d)))
(-.f64 (+.f64 (.f64 c c) (exp.f64 (log1p.f64 (.f64 d d)))) 1)
(-.f64 (+.f64 (.f64 d d) (exp.f64 (log1p.f64 (.f64 c c)))) 1)
(*.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 c d) 2))
(*.f64 (hypot.f64 c d) (hypot.f64 c d))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (-.f64 (.f64 c c) (*.f64 d d))))
(.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (neg.f64 (-.f64 (.f64 c c) (.f64 d d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (neg.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (neg.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)))) (neg.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)))) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (sqrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)))) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (cbrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) 1) (-.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) 1) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) 1) (neg.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) 1) (neg.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) 1) (-.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (hypot.f64 c d)) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (hypot.f64 c d)) (sqrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (.f64 (pow.f64 d 4) (pow.f64 d 4))) (/.f64 1 (-.f64 (.f64 c c) (*.f64 d d)))) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 d 4) 3)) (/.f64 1 (-.f64 (.f64 c c) (.f64 d d)))) (+.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 c 6) (pow.f64 c 6)) (.f64 (pow.f64 d 6) (pow.f64 d 6))) (/.f64 1 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (-.f64 (pow.f64 c 6) (pow.f64 d 6)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 c 6) 3) (pow.f64 (pow.f64 d 6) 3)) (/.f64 1 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (+.f64 (.f64 (pow.f64 c 6) (pow.f64 c 6)) (-.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (*.f64 (pow.f64 c 6) (pow.f64 d 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) 1) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (sqrt.f64 (-.f64 (.f64 c c) (.f64 d d)))) (sqrt.f64 (-.f64 (.f64 c c) (.f64 d d))))
(/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (.f64 (cbrt.f64 (-.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (-.f64 (.f64 c c) (.f64 d d))))) (cbrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (+.f64 c d)) (-.f64 c d))
(/.f64 (/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) 1) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 1 (.f64 c c) (.f64 d d))
(fma.f64 1 (.f64 d d) (.f64 c c))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 d d))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) b))
(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) 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 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(+.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) 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 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(+.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) 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 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(+.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) 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 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(+.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) 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 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(+.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) 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 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(+.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) 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 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(+.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d) (.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)) 1))
(pow.f64 (hypot.f64 c d) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 1 (.f64 c c) (.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 1 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 d d))

eval93.0ms (0.8%)

Compiler: Compiled 7115 to 2556 computations (64.1% saved)

prune71.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	256	12	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	12	269

Error

0.0b

Counts

269 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	40.7b	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
▶	38.5b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	39.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	38.3b	(/.f64 b d)
▶	39.0b	(/.f64 a c)
▶	32.2b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
	35.8b	(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
▶	32.0b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	47.7b	(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))
	37.8b	(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
	38.8b	(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
▶	17.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 360 to 218 computations (39.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.2b	(fma.f64 a c (*.f64 b d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	16.4b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series13.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite113.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`associate-*l/`
1220×	`associate-/r*`
1142×	`associate-/l*`
452×	`distribute-lft-in`
344×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	284	88
2	3557	88

Stop Event

1×	node limit

Counts

4 → 333

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

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

simplify191.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1832×	`associate-/r*`
1432×	`associate-l`
1156×	`associate-/l/`
800×	`*-commutative`
770×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	899	24277
1	2476	21857

Stop Event

1×	node limit

Counts

501 → 575

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))))
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(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (+.f64 (pow.f64 (.f64 b d) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (.f64 (.f64 a c) (.f64 a c)) (-.f64 (pow.f64 (.f64 b d) 2) (.f64 (.f64 a c) (*.f64 b d)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 (.f64 b d) 2)) 1) (-.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 b d) 3) (pow.f64 (.f64 a c) 3)) 1) (+.f64 (.f64 (.f64 a c) (.f64 a c)) (-.f64 (pow.f64 (.f64 b d) 2) (.f64 (.f64 a c) (.f64 b d)))))
(pow.f64 (fma.f64 a c (*.f64 b d)) 1)
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 2)
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 3)
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) 1)
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 -1 (/.f64 -1 (hypot.f64 c d)))
(*.f64 (/.f64 -1 (hypot.f64 c d)) -1)
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1) (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))
(pow.f64 (hypot.f64 c d) -1)
(pow.f64 (/.f64 1 (hypot.f64 c d)) 1)
(pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) 3)
(pow.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) 1/3)
(pow.f64 (pow.f64 (hypot.f64 c d) 2) -1/2)
(sqrt.f64 (pow.f64 (hypot.f64 c d) -2))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 c d)))))
(cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 c d))))

Outputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 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 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 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 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 b (+.f64 (/.f64 c (/.f64 d a)) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (*.f64 d d) b)))))
(+.f64 (+.f64 b (/.f64 (.f64 c a) d)) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) 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 c c) (/.f64 (*.f64 d d) b))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (+.f64 (+.f64 b (/.f64 (.f64 c a) d)) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (*.f64 d d) b)))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (/.f64 d (/.f64 c b))))
(+.f64 a (fma.f64 -1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (/.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))))
(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 (.f64 c c)) (.f64 d d)) (/.f64 (.f64 d b) c))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a))
(*.f64 -1 (+.f64 a (/.f64 d (/.f64 c b))))
(fma.f64 -1 (/.f64 (*.f64 d b) c) (neg.f64 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)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
(fma.f64 1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (fma.f64 -1 (/.f64 (.f64 d b) c) (neg.f64 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 1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (fma.f64 -1 (/.f64 (.f64 d b) c) (fma.f64 1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (neg.f64 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 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 c a)))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (/.f64 d (/.f64 c b))))
(+.f64 a (fma.f64 -1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (/.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))))
(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 (.f64 c c)) (.f64 d d)) (/.f64 (.f64 d b) c))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 b (+.f64 (/.f64 c (/.f64 d a)) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (*.f64 d d) b)))))
(+.f64 (+.f64 b (/.f64 (.f64 c a) d)) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) 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 c c) (/.f64 (*.f64 d d) b))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (+.f64 (+.f64 b (/.f64 (.f64 c a) d)) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (*.f64 d d) b)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))
(*.f64 -1 (+.f64 b (/.f64 c (/.f64 d a))))
(.f64 (+.f64 b (/.f64 (.f64 c a) d)) -1)
(+.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))))
(fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)) (*.f64 -1 (+.f64 b (/.f64 c (/.f64 d a)))))
(fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)) (.f64 (+.f64 b (/.f64 (.f64 c a) d)) -1))
(+.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)))))
(fma.f64 1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)) (*.f64 -1 (+.f64 b (/.f64 c (/.f64 d a))))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)) (.f64 (+.f64 b (/.f64 (*.f64 c a) d)) -1)))
(/.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 (.f64 d d)) a))
(+.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))))
(fma.f64 -1 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(fma.f64 -1 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (+.f64 (/.f64 b d) (.f64 (/.f64 c (*.f64 d d)) a))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) b))
(+.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 d (/.f64 (.f64 c c) b))))
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(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)) 2))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2)) 2))
(log.f64 (exp.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)) 3))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 1))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) -2))
(+.f64 (.f64 b d) (.f64 a c))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 b d) (.f64 (*.f64 a c) 1))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 a c) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 (.f64 a c) 1) (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 1 (.f64 (.f64 a c) 1)) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) 1)
(fma.f64 d b (*.f64 c a))
(-.f64 (exp.f64 (log1p.f64 (.f64 b d))) (-.f64 1 (.f64 a c)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 d b))) 1) (.f64 c a))
(+.f64 -1 (fma.f64 a c (exp.f64 (log1p.f64 (*.f64 d b)))))
(-.f64 (+.f64 (.f64 a c) (exp.f64 (log1p.f64 (.f64 b d)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 d b))) 1) (.f64 c a))
(+.f64 -1 (fma.f64 a c (exp.f64 (log1p.f64 (*.f64 d b)))))
(-.f64 (+.f64 (.f64 (.f64 a c) 1) (exp.f64 (log1p.f64 (*.f64 b d)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 d b))) 1) (.f64 c a))
(+.f64 -1 (fma.f64 a c (exp.f64 (log1p.f64 (*.f64 d b)))))
(.f64 (fma.f64 a c (.f64 b d)) 1)
(fma.f64 d b (*.f64 c a))
(.f64 1 (fma.f64 a c (.f64 b d)))
(fma.f64 d b (*.f64 c a))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2))
(fma.f64 d b (*.f64 c a))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 2) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(/.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (-.f64 (.f64 a (.f64 c (.f64 c a))) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (+.f64 (pow.f64 (.f64 b d) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (.f64 (.f64 a c) (.f64 a c)) (-.f64 (pow.f64 (.f64 b d) 2) (.f64 (.f64 a c) (*.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (.f64 d b) 3) (pow.f64 (.f64 c a) 3)) (fma.f64 (.f64 c a) (.f64 c a) (-.f64 (pow.f64 (.f64 d b) 2) (.f64 a (.f64 c (.f64 d b))))))
(/.f64 (+.f64 (pow.f64 (.f64 d b) 3) (pow.f64 (.f64 c a) 3)) (fma.f64 (.f64 c a) (.f64 c a) (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 (.f64 b d) 2)) 1) (-.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (-.f64 (.f64 a (.f64 c (.f64 c a))) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 b d) 3) (pow.f64 (.f64 a c) 3)) 1) (+.f64 (.f64 (.f64 a c) (.f64 a c)) (-.f64 (pow.f64 (.f64 b d) 2) (.f64 (.f64 a c) (.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (.f64 d b) 3) (pow.f64 (.f64 c a) 3)) (fma.f64 (.f64 c a) (.f64 c a) (-.f64 (pow.f64 (.f64 d b) 2) (.f64 a (.f64 c (.f64 d b))))))
(/.f64 (+.f64 (pow.f64 (.f64 d b) 3) (pow.f64 (.f64 c a) 3)) (fma.f64 (.f64 c a) (.f64 c a) (.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)))))
(pow.f64 (fma.f64 a c (*.f64 b d)) 1)
(fma.f64 d b (*.f64 c a))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 2)
(fma.f64 d b (*.f64 c a))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 3)
(fma.f64 d b (*.f64 c a))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) 1/3)
(fma.f64 d b (*.f64 c a))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))
(sqrt.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) 2))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(fma.f64 d b (*.f64 c a))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))
(fma.f64 d b (*.f64 c a))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1))
(fma.f64 d b (*.f64 c a))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 d b (*.f64 c a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d)))) 1)
(/.f64 1 (hypot.f64 c d))
(*.f64 1 (/.f64 1 (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) 1)
(/.f64 1 (hypot.f64 c d))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))
(/.f64 1 (hypot.f64 c d))
(*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 -1 (/.f64 -1 (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))
(*.f64 (/.f64 -1 (hypot.f64 c d)) -1)
(/.f64 1 (hypot.f64 c d))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1) (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1))
(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(pow.f64 (hypot.f64 c d) -1)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (/.f64 1 (hypot.f64 c d)) 1)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3))
(pow.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) -1/2)
(sqrt.f64 (pow.f64 (hypot.f64 c d) -2))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 c d)))))
(/.f64 1 (hypot.f64 c d))
(cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) -1))
(/.f64 1 (hypot.f64 c d))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) 1))
(/.f64 1 (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))

localize4.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.2b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
✓	2.9b	(*.f64 (/.f64 b c) (/.f64 d c))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(*.f64 (/.f64 b c) (/.f64 d c))
1.0ms	b	@	0	(*.f64 (/.f64 b c) (/.f64 d c))
0.0ms	b	@	inf	(*.f64 (/.f64 b c) (/.f64 d c))
0.0ms	d	@	0	(*.f64 (/.f64 b c) (/.f64 d c))
0.0ms	a	@	0	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`distribute-lft-neg-in`
584×	`distribute-rgt-neg-in`
542×	`distribute-rgt-in`
540×	`associate-/r/`
514×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	247	46
2	3775	46

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

914×	`distribute-lft-neg-in`
830×	`distribute-rgt-neg-in`
600×	`associate-r`
552×	`distribute-lft-neg-out`
542×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	7771
1	1072	7157
2	4883	7131

Stop Event

1×	node limit

Counts

205 → 201

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.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 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.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 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.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 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.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 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.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 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.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 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 b (.f64 c c)) d))) 1)
(/.f64 b (/.f64 (*.f64 c c) d))
(/.f64 b (*.f64 c (/.f64 c d)))
(/.f64 b (*.f64 (/.f64 c d) c))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 d (*.f64 (/.f64 c b) c))
(/.f64 d (*.f64 c (/.f64 c b)))
(/.f64 (/.f64 d c) (/.f64 c b))
(/.f64 1 (*.f64 (/.f64 c b) (/.f64 c d)))
(/.f64 1 (/.f64 (.f64 c c) (.f64 b d)))
(/.f64 (sqrt.f64 d) (*.f64 (/.f64 c b) (/.f64 c (sqrt.f64 d))))
(/.f64 (sqrt.f64 b) (*.f64 (/.f64 c d) (/.f64 c (sqrt.f64 b))))
(/.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (/.f64 c b) (/.f64 c (cbrt.f64 d))))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (/.f64 c d) (/.f64 c (cbrt.f64 b))))
(/.f64 (*.f64 (/.f64 b c) d) c)
(/.f64 (.f64 b d) (.f64 c c))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 c) (/.f64 c d)))
(/.f64 (neg.f64 b) (*.f64 (/.f64 c d) (neg.f64 c)))
(/.f64 (neg.f64 d) (*.f64 (/.f64 c b) (neg.f64 c)))
(/.f64 (neg.f64 d) (*.f64 (neg.f64 c) (/.f64 c b)))
(/.f64 (.f64 d (neg.f64 b)) (.f64 c (neg.f64 c)))
(/.f64 (/.f64 (.f64 b d) (.f64 (sqrt.f64 c) c)) (sqrt.f64 c))
(/.f64 (/.f64 b (*.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 c d))) (cbrt.f64 c))
(/.f64 (/.f64 b 1) (*.f64 (/.f64 c d) c))
(/.f64 (/.f64 b (sqrt.f64 c)) (*.f64 (/.f64 c d) (sqrt.f64 c)))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 c) 2)) (*.f64 (/.f64 c d) (cbrt.f64 c)))
(/.f64 (/.f64 d 1) (*.f64 (/.f64 c b) c))
(/.f64 (/.f64 d (sqrt.f64 c)) (*.f64 (/.f64 c b) (sqrt.f64 c)))
(/.f64 (/.f64 d (pow.f64 (cbrt.f64 c) 2)) (*.f64 (/.f64 c b) (cbrt.f64 c)))
(/.f64 -1 (*.f64 (/.f64 c d) (/.f64 c (neg.f64 b))))
(/.f64 -1 (*.f64 (/.f64 c b) (/.f64 c (neg.f64 d))))
(/.f64 (.f64 (neg.f64 b) (neg.f64 d)) (.f64 (neg.f64 c) (neg.f64 c)))
(/.f64 (/.f64 (neg.f64 d) (/.f64 c b)) (neg.f64 c))
(pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 b (.f64 c c)) d)) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3) 1/3)
(neg.f64 (*.f64 (/.f64 b c) (/.f64 d (neg.f64 c))))
(neg.f64 (/.f64 (.f64 b d) (.f64 c (neg.f64 c))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2))
(log.f64 (exp.f64 (.f64 (/.f64 b (.f64 c c)) d)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 b (.f64 c c)) d))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 b (.f64 c c)) d)))
(exp.f64 (log.f64 (.f64 (/.f64 b (.f64 c c)) d)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b (*.f64 c c)) d)) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 b (.f64 c c)) d)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 a c))) (-.f64 1 (.f64 (/.f64 b (.f64 c c)) d)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 b (.f64 c c)) d))) (-.f64 1 (/.f64 a c)))
(-.f64 (.f64 (/.f64 (pow.f64 (/.f64 a c) 2) (-.f64 a (.f64 (/.f64 b c) d))) c) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (-.f64 a (.f64 (/.f64 b c) d))) c))
(-.f64 (+.f64 (.f64 (/.f64 b (.f64 c c)) d) (exp.f64 (log1p.f64 (/.f64 a c)))) 1)
(-.f64 (+.f64 (/.f64 a c) (exp.f64 (log1p.f64 (.f64 (/.f64 b (.f64 c c)) d)))) 1)
(*.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 1)
(*.f64 1 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) (sqrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 2) (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (.f64 (/.f64 1 (-.f64 a (*.f64 (/.f64 b c) d))) c))
(.f64 (/.f64 1 c) (+.f64 (.f64 (/.f64 b c) d) a))
(.f64 (/.f64 1 c) (+.f64 a (.f64 (/.f64 b c) d)))
(.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (*.f64 (/.f64 b c) d)) c)))))
(.f64 (.f64 (/.f64 1 (-.f64 a (.f64 (/.f64 b c) d))) c) (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (*.f64 c c)) d) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c)))) (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (*.f64 c c)) d) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (*.f64 c c)) d) 2))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (-.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3))) (+.f64 (pow.f64 (/.f64 a c) 2) (.f64 (.f64 (/.f64 b (.f64 c c)) d) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (-.f64 a (.f64 (/.f64 b c) d))) c)
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (-.f64 (.f64 a c) (.f64 c (.f64 (/.f64 b c) d)))) (*.f64 c c))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (-.f64 (.f64 a (.f64 c c)) (.f64 c (*.f64 b d)))) (pow.f64 c 3))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (-.f64 c (.f64 (/.f64 c a) (.f64 (/.f64 b c) d)))) (.f64 (/.f64 c a) c))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (-.f64 (.f64 c c) (.f64 (/.f64 c a) (.f64 b d)))) (.f64 (/.f64 c a) (.f64 c c)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (-.f64 (.f64 (neg.f64 a) c) (.f64 (neg.f64 c) (.f64 (/.f64 b c) d)))) (*.f64 c (neg.f64 c)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (-.f64 (.f64 (neg.f64 a) (.f64 c c)) (.f64 (neg.f64 c) (*.f64 b d)))) (neg.f64 (pow.f64 c 3)))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3)) (-.f64 (.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 a c) 2)) (.f64 (.f64 (.f64 (/.f64 b (.f64 c c)) d) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (/.f64 a c))) (.f64 (.f64 (/.f64 b (.f64 c c)) d) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (/.f64 a c)))))) (-.f64 (pow.f64 (/.f64 a c) 2) (.f64 (.f64 (/.f64 b (.f64 c c)) d) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (/.f64 a c)))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 a c) 2) 3) (pow.f64 (.f64 (.f64 (/.f64 b (.f64 c c)) d) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (/.f64 a c))) 3))) (+.f64 (.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 a c) 2)) (.f64 (.f64 (.f64 (/.f64 b (.f64 c c)) d) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (/.f64 a c))) (-.f64 (.f64 (.f64 (/.f64 b (.f64 c c)) d) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (/.f64 a c))) (pow.f64 (/.f64 a c) 2)))))
(/.f64 1 (/.f64 (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c) (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (*.f64 c c)) d) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c))) (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (/.f64 (-.f64 a (*.f64 (/.f64 b c) d)) c))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3)) (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 a c) 3)) (.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3))) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c))) (-.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (*.f64 c c)) d) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (pow.f64 (/.f64 a c) 2)) (-.f64 (.f64 (/.f64 b (.f64 c c)) d) (/.f64 a c)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 a c) 2)) (.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2))) (.f64 (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c) (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (pow.f64 (/.f64 a c) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 a c) 3) 3) (pow.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c))) (+.f64 (.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 a c) 3)) (.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3) (-.f64 (pow.f64 (.f64 (/.f64 b (*.f64 c c)) d) 3) (pow.f64 (/.f64 a c) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 a c) 2) 3) (pow.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) 3)) (.f64 (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c) (+.f64 (.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 a c) 2)) (.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (pow.f64 (/.f64 a c) 2))))))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 b c) d) c) (.f64 c a)) (.f64 c c))
(/.f64 (+.f64 c (.f64 (.f64 (/.f64 b c) d) (/.f64 c a))) (*.f64 c (/.f64 c a)))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 b c) d) (neg.f64 c)) (.f64 c (neg.f64 a))) (.f64 c (neg.f64 c)))
(/.f64 (+.f64 (.f64 (.f64 b d) c) (.f64 (.f64 c c) a)) (pow.f64 c 3))
(/.f64 (+.f64 (.f64 (.f64 c c) 1) (.f64 (.f64 b d) (/.f64 c a))) (.f64 (.f64 c c) (/.f64 c a)))
(/.f64 (+.f64 (.f64 (.f64 b d) (neg.f64 c)) (.f64 (.f64 c c) (neg.f64 a))) (neg.f64 (pow.f64 c 3)))
(/.f64 (+.f64 (.f64 a c) (.f64 c (.f64 (/.f64 b c) d))) (.f64 c c))
(/.f64 (+.f64 (.f64 a (.f64 c c)) (.f64 c (.f64 b d))) (pow.f64 c 3))
(/.f64 (+.f64 c (.f64 (/.f64 c a) (.f64 (/.f64 b c) d))) (*.f64 (/.f64 c a) c))
(/.f64 (+.f64 (.f64 c c) (.f64 (/.f64 c a) (.f64 b d))) (.f64 (/.f64 c a) (*.f64 c c)))
(/.f64 (+.f64 (.f64 (neg.f64 a) c) (.f64 (neg.f64 c) (.f64 (/.f64 b c) d))) (.f64 c (neg.f64 c)))
(/.f64 (+.f64 (.f64 (neg.f64 a) (.f64 c c)) (.f64 (neg.f64 c) (.f64 b d))) (neg.f64 (pow.f64 c 3)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 a c) 2)) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (/.f64 (neg.f64 (-.f64 a (*.f64 (/.f64 b c) d))) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c)))))
(pow.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (/.f64 (neg.f64 (-.f64 a (*.f64 (/.f64 b c) d))) c)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c))))))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(exp.f64 (log.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 a (/.f64 1 c) (.f64 (/.f64 b (.f64 c c)) d))
(fma.f64 1 (.f64 (/.f64 b (.f64 c c)) d) (/.f64 a c))
(fma.f64 1 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(fma.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) (/.f64 (sqrt.f64 (.f64 b d)) c) (/.f64 a c))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (.f64 (/.f64 b (.f64 c c)) d))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (.f64 c c)) d)) 2) (cbrt.f64 (.f64 (/.f64 b (.f64 c c)) d)) (/.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (.f64 (/.f64 b (.f64 c c)) d))

Outputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (*.f64 d b) (pow.f64 c 2))
(*.f64 (/.f64 b c) (/.f64 d c))
(.f64 b (/.f64 d (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
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(/.f64 (+.f64 (.f64 a c) (.f64 c (.f64 (/.f64 b c) d))) (.f64 c c))
(/.f64 (fma.f64 a c (.f64 c (.f64 d (/.f64 b c)))) (*.f64 c c))
(/.f64 (.f64 c (fma.f64 d (/.f64 b c) a)) (.f64 c c))
(/.f64 (+.f64 (.f64 a (.f64 c c)) (.f64 c (.f64 b d))) (pow.f64 c 3))
(/.f64 (fma.f64 (.f64 d b) c (.f64 c (*.f64 c a))) (pow.f64 c 3))
(/.f64 (.f64 c (+.f64 (.f64 c a) (*.f64 d b))) (pow.f64 c 3))
(/.f64 (.f64 c (+.f64 (.f64 d b) (*.f64 c a))) (pow.f64 c 3))
(/.f64 (+.f64 c (.f64 (/.f64 c a) (.f64 (/.f64 b c) d))) (*.f64 (/.f64 c a) c))
(/.f64 (+.f64 c (.f64 (.f64 d (/.f64 b c)) (/.f64 c a))) (*.f64 c (/.f64 c a)))
(.f64 (/.f64 (/.f64 (fma.f64 (/.f64 b c) (/.f64 (.f64 d c) a) c) c) c) a)
(/.f64 (+.f64 (.f64 c c) (.f64 (/.f64 c a) (.f64 b d))) (.f64 (/.f64 c a) (*.f64 c c)))
(/.f64 (fma.f64 c c (.f64 b (.f64 d (/.f64 c a)))) (/.f64 (pow.f64 c 3) a))
(/.f64 (fma.f64 b (/.f64 (.f64 d c) a) (.f64 c c)) (/.f64 (pow.f64 c 3) a))
(/.f64 (+.f64 (.f64 (neg.f64 a) c) (.f64 (neg.f64 c) (.f64 (/.f64 b c) d))) (.f64 c (neg.f64 c)))
(/.f64 (fma.f64 (.f64 d (/.f64 b c)) (neg.f64 c) (.f64 c (neg.f64 a))) (*.f64 c (neg.f64 c)))
(/.f64 (neg.f64 (.f64 c (fma.f64 d (/.f64 b c) a))) (.f64 c (neg.f64 c)))
(/.f64 (.f64 (neg.f64 c) (fma.f64 d (/.f64 b c) a)) (.f64 c (neg.f64 c)))
(/.f64 (+.f64 (.f64 (neg.f64 a) (.f64 c c)) (.f64 (neg.f64 c) (.f64 b d))) (neg.f64 (pow.f64 c 3)))
(/.f64 (fma.f64 (.f64 d b) (neg.f64 c) (.f64 c (*.f64 c (neg.f64 a)))) (neg.f64 (pow.f64 c 3)))
(/.f64 (neg.f64 (.f64 c (+.f64 (.f64 c a) (*.f64 d b)))) (neg.f64 (pow.f64 c 3)))
(/.f64 (.f64 c (-.f64 (.f64 d (neg.f64 b)) (*.f64 c a))) (neg.f64 (pow.f64 c 3)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 a c) 2)) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (/.f64 (neg.f64 (-.f64 a (*.f64 (/.f64 b c) d))) c))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) (/.f64 d c)) 2) (pow.f64 (/.f64 a c) 2)) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c)))
(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 2) (pow.f64 (/.f64 a c) 2)) (-.f64 (.f64 b (/.f64 d (.f64 c c))) (/.f64 a c)))
(.f64 c (/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 2) (pow.f64 (/.f64 a c) 2)) (+.f64 (.f64 d (/.f64 b c)) (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) (/.f64 d c)) 3) (pow.f64 (/.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) (/.f64 d c)) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 d (/.f64 b c))) c)))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 3) (pow.f64 (/.f64 a c) 3)) (fma.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 d (/.f64 b c))) c) (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 2))))
(pow.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 1)
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 2)
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 3)
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(pow.f64 (pow.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 3) 1/3)
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2)) (/.f64 (neg.f64 (-.f64 a (*.f64 (/.f64 b c) d))) c)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 b c) (/.f64 d c)) 2) (pow.f64 (/.f64 a c) 2)) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c)))
(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 2) (pow.f64 (/.f64 a c) 2)) (-.f64 (.f64 b (/.f64 d (.f64 c c))) (/.f64 a c)))
(.f64 c (/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 2) (pow.f64 (/.f64 a c) 2)) (+.f64 (.f64 d (/.f64 b c)) (neg.f64 a))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b (.f64 c c)) d) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 (/.f64 b c) d)) c))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) (/.f64 d c)) 3) (pow.f64 (/.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b c) (/.f64 d c)) 2) (.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 d (/.f64 b c))) c)))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 3) (pow.f64 (/.f64 a c) 3)) (fma.f64 (/.f64 a c) (/.f64 (-.f64 a (.f64 d (/.f64 b c))) c) (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 2))))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 2))
(fabs.f64 (/.f64 (fma.f64 d (/.f64 b c) a) c))
(log.f64 (exp.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 3))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(exp.f64 (log.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 1))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 a (/.f64 1 c) (.f64 (/.f64 b (.f64 c c)) d))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 1 (.f64 (/.f64 b (.f64 c c)) d) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 1 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 (/.f64 (sqrt.f64 (.f64 b d)) c) (/.f64 (sqrt.f64 (.f64 b d)) c) (/.f64 a c))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) c) 2) (/.f64 a c))
(+.f64 (/.f64 a c) (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) c) 2))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (.f64 (/.f64 b (.f64 c c)) d))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b (.f64 c c)) d)) 2) (cbrt.f64 (.f64 (/.f64 b (.f64 c c)) d)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (.f64 (/.f64 b (.f64 c c)) d))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.7b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
✓	2.7b	(*.f64 (/.f64 a d) (/.f64 c d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series5.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`distribute-lft-neg-in`
584×	`distribute-rgt-neg-in`
542×	`distribute-rgt-in`
540×	`associate-/r/`
514×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	247	46
2	3775	46

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

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

simplify126.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

914×	`distribute-lft-neg-in`
830×	`distribute-rgt-neg-in`
600×	`associate-r`
552×	`distribute-lft-neg-out`
542×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	7771
1	1072	7157
2	4883	7131

Stop Event

1×	node limit

Counts

205 → 201

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a (.f64 d d)) c))) 1)
(/.f64 a (/.f64 (*.f64 d d) c))
(/.f64 a (*.f64 d (/.f64 d c)))
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 (/.f64 a d) (/.f64 d c))
(/.f64 c (*.f64 (/.f64 d a) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.f64 1 (*.f64 (/.f64 d a) (/.f64 d c)))
(/.f64 1 (/.f64 (.f64 d d) (.f64 a c)))
(/.f64 (sqrt.f64 c) (*.f64 (/.f64 d a) (/.f64 d (sqrt.f64 c))))
(/.f64 (sqrt.f64 a) (*.f64 (/.f64 d c) (/.f64 d (sqrt.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (/.f64 d a) (/.f64 d (cbrt.f64 c))))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (/.f64 d c) (/.f64 d (cbrt.f64 a))))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (.f64 a c) (.f64 d d))
(/.f64 (neg.f64 a) (*.f64 (neg.f64 d) (/.f64 d c)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 d c) (neg.f64 d)))
(/.f64 (neg.f64 c) (*.f64 (/.f64 d a) (neg.f64 d)))
(/.f64 (neg.f64 c) (*.f64 (neg.f64 d) (/.f64 d a)))
(/.f64 (.f64 c (neg.f64 a)) (.f64 d (neg.f64 d)))
(/.f64 (/.f64 (.f64 a c) (.f64 (sqrt.f64 d) d)) (sqrt.f64 d))
(/.f64 (/.f64 a (*.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 d c))) (cbrt.f64 d))
(/.f64 (/.f64 a 1) (*.f64 (/.f64 d c) d))
(/.f64 (/.f64 a (sqrt.f64 d)) (*.f64 (/.f64 d c) (sqrt.f64 d)))
(/.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (*.f64 (/.f64 d c) (cbrt.f64 d)))
(/.f64 (/.f64 c 1) (*.f64 (/.f64 d a) d))
(/.f64 (/.f64 c (sqrt.f64 d)) (*.f64 (/.f64 d a) (sqrt.f64 d)))
(/.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (*.f64 (/.f64 d a) (cbrt.f64 d)))
(/.f64 -1 (*.f64 (/.f64 d c) (/.f64 d (neg.f64 a))))
(/.f64 -1 (*.f64 (/.f64 d a) (/.f64 d (neg.f64 c))))
(/.f64 (.f64 (neg.f64 a) (neg.f64 c)) (.f64 (neg.f64 d) (neg.f64 d)))
(/.f64 (/.f64 (neg.f64 c) (/.f64 d a)) (neg.f64 d))
(pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 a (.f64 d d)) c)) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3) 1/3)
(neg.f64 (*.f64 (/.f64 a d) (/.f64 c (neg.f64 d))))
(neg.f64 (/.f64 (.f64 a c) (.f64 d (neg.f64 d))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2))
(log.f64 (exp.f64 (.f64 (/.f64 a (.f64 d d)) c)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 a (.f64 d d)) c))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 a (.f64 d d)) c)))
(exp.f64 (log.f64 (.f64 (/.f64 a (.f64 d d)) c)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a (*.f64 d d)) c)) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 a (.f64 d d)) c)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 b d))) (-.f64 1 (.f64 (/.f64 a (.f64 d d)) c)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a (.f64 d d)) c))) (-.f64 1 (/.f64 b d)))
(-.f64 (.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (-.f64 b (.f64 (/.f64 a d) c))) d) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (-.f64 b (.f64 (/.f64 a d) c))) d))
(-.f64 (+.f64 (.f64 (/.f64 a (.f64 d d)) c) (exp.f64 (log1p.f64 (/.f64 b d)))) 1)
(-.f64 (+.f64 (/.f64 b d) (exp.f64 (log1p.f64 (.f64 (/.f64 a (.f64 d d)) c)))) 1)
(*.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) 1)
(*.f64 1 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) (sqrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))))
(.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (.f64 (/.f64 1 (-.f64 b (*.f64 (/.f64 a d) c))) d))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 1 d) (+.f64 b (.f64 (/.f64 a d) c)))
(.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) d)))))
(.f64 (.f64 (/.f64 1 (-.f64 b (.f64 (/.f64 a d) c))) d) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (*.f64 d d)) c) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d)))) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (*.f64 d d)) c) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (*.f64 d d)) c) 2))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (-.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3))) (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (.f64 (/.f64 a (.f64 d d)) c) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (-.f64 b (.f64 (/.f64 a d) c))) d)
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (-.f64 (.f64 b d) (.f64 d (.f64 (/.f64 a d) c)))) (*.f64 d d))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (-.f64 (.f64 b (.f64 d d)) (.f64 d (*.f64 a c)))) (pow.f64 d 3))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (-.f64 d (.f64 (/.f64 d b) (.f64 (/.f64 a d) c)))) (.f64 (/.f64 d b) d))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (-.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 a c)))) (.f64 (/.f64 d b) (.f64 d d)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (-.f64 (.f64 (neg.f64 b) d) (.f64 (neg.f64 d) (.f64 (/.f64 a d) c)))) (*.f64 d (neg.f64 d)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (-.f64 (.f64 (neg.f64 b) (.f64 d d)) (.f64 (neg.f64 d) (*.f64 a c)))) (neg.f64 (pow.f64 d 3)))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3)) (-.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (.f64 (.f64 (/.f64 a (.f64 d d)) c) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (/.f64 b d))) (.f64 (.f64 (/.f64 a (.f64 d d)) c) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (/.f64 b d)))))) (-.f64 (pow.f64 (/.f64 b d) 2) (.f64 (.f64 (/.f64 a (.f64 d d)) c) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (/.f64 b d)))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 b d) 2) 3) (pow.f64 (.f64 (.f64 (/.f64 a (.f64 d d)) c) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (/.f64 b d))) 3))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (.f64 (.f64 (/.f64 a (.f64 d d)) c) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (/.f64 b d))) (-.f64 (.f64 (.f64 (/.f64 a (.f64 d d)) c) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (/.f64 b d))) (pow.f64 (/.f64 b d) 2)))))
(/.f64 1 (/.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (*.f64 d d)) c) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) d))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3)) (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3))) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))) (-.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (*.f64 d d)) c) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (/.f64 b d)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2))) (.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d) (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (pow.f64 (/.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b d) 3) 3) (pow.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3) (-.f64 (pow.f64 (.f64 (/.f64 a (*.f64 d d)) c) 3) (pow.f64 (/.f64 b d) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b d) 2) 3) (pow.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) 3)) (.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d) (+.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (pow.f64 (/.f64 b d) 2))))))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 a d) c) d) (.f64 d b)) (.f64 d d))
(/.f64 (+.f64 d (.f64 (.f64 (/.f64 a d) c) (/.f64 d b))) (*.f64 d (/.f64 d b)))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 a d) c) (neg.f64 d)) (.f64 d (neg.f64 b))) (.f64 d (neg.f64 d)))
(/.f64 (+.f64 (.f64 (.f64 a c) d) (.f64 (.f64 d d) b)) (pow.f64 d 3))
(/.f64 (+.f64 (.f64 (.f64 d d) 1) (.f64 (.f64 a c) (/.f64 d b))) (.f64 (.f64 d d) (/.f64 d b)))
(/.f64 (+.f64 (.f64 (.f64 a c) (neg.f64 d)) (.f64 (.f64 d d) (neg.f64 b))) (neg.f64 (pow.f64 d 3)))
(/.f64 (+.f64 (.f64 b d) (.f64 d (.f64 (/.f64 a d) c))) (.f64 d d))
(/.f64 (+.f64 (.f64 b (.f64 d d)) (.f64 d (.f64 a c))) (pow.f64 d 3))
(/.f64 (+.f64 d (.f64 (/.f64 d b) (.f64 (/.f64 a d) c))) (*.f64 (/.f64 d b) d))
(/.f64 (+.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 a c))) (.f64 (/.f64 d b) (*.f64 d d)))
(/.f64 (+.f64 (.f64 (neg.f64 b) d) (.f64 (neg.f64 d) (.f64 (/.f64 a d) c))) (.f64 d (neg.f64 d)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (.f64 d d)) (.f64 (neg.f64 d) (.f64 a c))) (neg.f64 (pow.f64 d 3)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 b d) 2)) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (/.f64 (neg.f64 (-.f64 b (*.f64 (/.f64 a d) c))) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d)))))
(pow.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2)) (/.f64 (neg.f64 (-.f64 b (*.f64 (/.f64 a d) c))) d)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 a (.f64 d d)) c) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))))))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))))
(exp.f64 (log.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (.f64 (/.f64 a (.f64 d d)) c))
(fma.f64 1 (.f64 (/.f64 a (.f64 d d)) c) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(fma.f64 (/.f64 (sqrt.f64 (.f64 a c)) d) (/.f64 (sqrt.f64 (.f64 a c)) d) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (.f64 (/.f64 a (.f64 d d)) c))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 a (.f64 d d)) c)) 2) (cbrt.f64 (.f64 (/.f64 a (.f64 d d)) c)) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (.f64 (/.f64 a (.f64 d d)) c))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
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(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 1 (.f64 (/.f64 a (.f64 d d)) c) (/.f64 b d))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 1 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (/.f64 (sqrt.f64 (.f64 a c)) d) (/.f64 (sqrt.f64 (.f64 a c)) d) (/.f64 b d))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2) (/.f64 b d))
(+.f64 (/.f64 b d) (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (.f64 (/.f64 a (.f64 d d)) c))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 a (.f64 d d)) c)) 2) (cbrt.f64 (.f64 (/.f64 a (.f64 d d)) c)) (/.f64 b d))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (.f64 (/.f64 a (.f64 d d)) c))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	17.4b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`associate-/r*`
1350×	`associate-/l*`
1342×	`associate-*r/`
1100×	`*-commutative`
960×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	217	25
2	3112	25

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1696×	`associate-/l*`
1342×	`associate-+r-`
1342×	`times-frac`
934×	`associate-/r*`
636×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	3943
1	493	3799
2	1878	3669
3	7561	3669

Stop Event

1×	node limit

Counts

95 → 105

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.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 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))))) 1)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))
(.f64 (.f64 d b) (/.f64 1 (pow.f64 (hypot.f64 d c) 2)))
(.f64 (.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 1)
(.f64 1 (.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))))
(.f64 (sqrt.f64 (.f64 d b)) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (hypot.f64 d c)) (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)))
(.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (/.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))
(.f64 (cbrt.f64 (.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) (cbrt.f64 (pow.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 2)))
(.f64 (cbrt.f64 (.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 2)) (cbrt.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))
(.f64 (-.f64 (.f64 c c) (.f64 d d)) (/.f64 (.f64 d b) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2)) (.f64 d b))
(.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 d c) 2))) (/.f64 (*.f64 d b) (+.f64 (pow.f64 c 6) (pow.f64 d 6))))
(.f64 (.f64 d (neg.f64 b)) (/.f64 -1 (pow.f64 (hypot.f64 d c) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (pow.f64 (hypot.f64 d c) 2)) (sqrt.f64 (*.f64 d b)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (pow.f64 (hypot.f64 d c) 2)) (/.f64 (sqrt.f64 (*.f64 d b)) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 d b)) (pow.f64 (hypot.f64 d c) 2)) (pow.f64 (cbrt.f64 (*.f64 d b)) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 d b)) (pow.f64 (hypot.f64 d c) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) 1))
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 d (/.f64 (hypot.f64 d c) b)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 (.f64 d b) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 d (/.f64 (hypot.f64 d c) b)) (/.f64 1 (hypot.f64 d c)))
(*.f64 (/.f64 b (pow.f64 (hypot.f64 d c) 2)) d)
(*.f64 (/.f64 b (pow.f64 (hypot.f64 d c) 2)) (/.f64 d 1))
(*.f64 (/.f64 b (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))
(*.f64 (/.f64 b (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))) (/.f64 d (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)))
(.f64 (/.f64 (.f64 d b) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)))
(*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)
(*.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 b 1))
(.f64 (/.f64 (.f64 d b) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))
(.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2))))
(.f64 (/.f64 -1 (pow.f64 (hypot.f64 d c) 2)) (.f64 d (neg.f64 b)))
(*.f64 (/.f64 d 1) (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 b (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 b 1) (/.f64 d (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))) (/.f64 b (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) 1) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 (sqrt.f64 (*.f64 d b)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (*.f64 d b)) (hypot.f64 d c)))
(.f64 (/.f64 (cbrt.f64 (.f64 d b)) (hypot.f64 d c)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (hypot.f64 d c)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (cbrt.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))
(pow.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) -1)
(neg.f64 (/.f64 d (/.f64 (neg.f64 (pow.f64 (hypot.f64 d c) 2)) b)))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 2))
(log.f64 (exp.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))))))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))
(exp.f64 (log.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))

Outputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 b (/.f64 (/.f64 d c) c))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))
(-.f64 (*.f64 (/.f64 b c) (/.f64 d c)) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)))
(*.f64 b (-.f64 (/.f64 (/.f64 d c) c) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b))) (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)))
(+.f64 (.f64 (/.f64 b c) (/.f64 d c)) (-.f64 (.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))))
(fma.f64 (/.f64 b c) (/.f64 d c) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)) (fma.f64 -1 (/.f64 (pow.f64 d 7) (/.f64 (pow.f64 c 8) b)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))))
(+.f64 (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (-.f64 (.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) b) (*.f64 (/.f64 (pow.f64 d 7) (pow.f64 c 8)) b)))
(+.f64 (.f64 b (-.f64 (/.f64 (/.f64 d c) c) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))
(-.f64 (/.f64 b d) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))
(+.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (.f64 b (pow.f64 c 6)) (pow.f64 d 7)) (+.f64 (/.f64 b d) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b)) (.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (+.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (+.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))
(-.f64 (/.f64 b d) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))
(+.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (.f64 b (pow.f64 c 6)) (pow.f64 d 7)) (+.f64 (/.f64 b d) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b)) (.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (+.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (+.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 c c (.f64 d d))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))
(-.f64 (/.f64 b d) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))
(+.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (.f64 b (pow.f64 c 6)) (pow.f64 d 7)) (+.f64 (/.f64 b d) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b)) (.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (+.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (+.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 b (/.f64 (/.f64 d c) c))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))
(-.f64 (*.f64 (/.f64 b c) (/.f64 d c)) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)))
(*.f64 b (-.f64 (/.f64 (/.f64 d c) c) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b))) (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)))
(+.f64 (.f64 (/.f64 b c) (/.f64 d c)) (-.f64 (.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))))
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(.f64 (cbrt.f64 (.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)))
(/.f64 (cbrt.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2) (pow.f64 (cbrt.f64 (*.f64 d b)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2) (cbrt.f64 (/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b)))))
(pow.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 1)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))) 3)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(pow.f64 (pow.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 3) 1/3)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) -1)
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(neg.f64 (/.f64 d (/.f64 (neg.f64 (pow.f64 (hypot.f64 d c) 2)) b)))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 2))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(log.f64 (exp.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))))))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2))) 3))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(exp.f64 (log.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
(/.f64 d (/.f64 (pow.f64 (hypot.f64 d c) 2) b))

eval330.0ms (2.9%)

Compiler: Compiled 28619 to 9023 computations (68.5% saved)

prune309.0ms (2.8%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1154	19	1173
Fresh	5	2	7
Picked	1	0	1
Done	2	2	4
Total	1162	23	1185

Error

Counts

1185 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(/.f64 (fma.f64 d (/.f64 b c) a) c)
▶	17.6b	(/.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
▶	47.2b	(/.f64 (.f64 d b) (.f64 d d))
	52.4b	(/.f64 (.f64 d b) (.f64 c c))
▶	39.3b	(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
	38.8b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	52.9b	(/.f64 d (/.f64 (*.f64 c c) b))
▶	38.3b	(/.f64 b d)
✓	39.0b	(/.f64 a c)
	17.8b	(/.f64 -1 (.f64 (hypot.f64 c d) (neg.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))))))
	32.2b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
	32.4b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
✓	32.2b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
	31.7b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (neg.f64 d) (/.f64 c b)) (neg.f64 c)))
	31.7b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
	47.1b	(+.f64 (/.f64 a c) (/.f64 (sqrt.f64 b) (*.f64 (/.f64 c d) (/.f64 c (sqrt.f64 b)))))
	26.7b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	37.8b	(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
	50.1b	(*.f64 (/.f64 b c) (/.f64 d c))
	35.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
▶	45.8b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
	42.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	50.7b	(*.f64 b (/.f64 (/.f64 d c) c))

Compiler

Compiled 632 to 380 computations (39.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d b (*.f64 c a))
✓	0.1b	(/.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
✓	0.5b	(*.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))
✓	16.4b	(/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))

Compiler

Compiled 63 to 11 computations (82.5% saved)

series7.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite92.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`swap-sqr`
708×	`associate-/l/`
506×	`associate-/r/`
460×	`distribute-rgt-in`
414×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	294	82
2	3805	82

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

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

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1710×	`times-frac`
1384×	`associate-r`
1112×	`associate-/l*`
1104×	`associate-l`
574×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	516	11940
1	1476	11794

Stop Event

1×	node limit

Counts

348 → 332

Calls

Call 1

Inputs
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
(*.f64 -1 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (*.f64 -1 a))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d)))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(+.f64 c (+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))))
(*.f64 -1 c)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) c)) (.f64 -1 c))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) c)) (*.f64 -1 c)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) c)) (+.f64 (.f64 -1 c) (.f64 -1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))))))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(+.f64 c (+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d)))
(*.f64 -1 d)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) d)) (.f64 -1 d))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (*.f64 -1 d)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (.f64 -1 d))))
(/.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 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 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))))
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(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 d b (.f64 c a)) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))) (neg.f64 (fma.f64 d b (.f64 c a))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) 1)) (fma.f64 d b (.f64 c a)))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 d b (.f64 c a))))) (sqrt.f64 (fma.f64 d b (*.f64 c a))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2))) (cbrt.f64 (fma.f64 d b (*.f64 c a))))
(pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(pow.f64 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 d b (.f64 c a)))) -1)
(neg.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(neg.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (neg.f64 (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))
(neg.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))) 1))
(neg.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (/.f64 -1 (hypot.f64 c d))))
(neg.f64 (.f64 1 (/.f64 (fma.f64 d b (.f64 c a)) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))))
(neg.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (neg.f64 (hypot.f64 c d)))))
(neg.f64 (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 3/2)) (neg.f64 (sqrt.f64 (hypot.f64 c d)))))
(neg.f64 (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (neg.f64 (hypot.f64 c d))) (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 c a) (.f64 (*.f64 d b) 1))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 (.f64 d b) 1) (*.f64 c a))
(+.f64 (.f64 1 (.f64 (.f64 d b) 1)) (.f64 c a))
(+.f64 (.f64 (.f64 (.f64 d b) 1) 1) (.f64 c a))
(+.f64 (neg.f64 (.f64 d (neg.f64 b))) (neg.f64 (.f64 c (neg.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (.f64 c a))) (-.f64 1 (.f64 d b)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 d b (*.f64 c a)))) 1)
(-.f64 (+.f64 (.f64 d b) (exp.f64 (log1p.f64 (.f64 c a)))) 1)
(-.f64 (+.f64 (.f64 (.f64 d b) 1) (exp.f64 (log1p.f64 (*.f64 c a)))) 1)
(.f64 (fma.f64 d b (.f64 c a)) 1)
(.f64 1 (fma.f64 d b (.f64 c a)))
(.f64 (sqrt.f64 (fma.f64 d b (.f64 c a))) (sqrt.f64 (fma.f64 d b (*.f64 c a))))
(.f64 (sqrt.f64 (fma.f64 d b (.f64 c a))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))))))
(.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) (pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2) (cbrt.f64 (fma.f64 d b (*.f64 c a))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))))))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (.f64 c a)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 c a)))) (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 c a))))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))))
(.f64 -1 (neg.f64 (fma.f64 d b (.f64 c a))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 d b (.f64 c a)))) (neg.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a)))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2)) (neg.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a)))))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (.f64 c a))))) (sqrt.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 c a)))) (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 c a)))))) (cbrt.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 d b (.f64 c a))))) (sqrt.f64 (fma.f64 d b (*.f64 c a))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2))) (cbrt.f64 (fma.f64 d b (*.f64 c a))))
(/.f64 (fma.f64 d b (*.f64 c a)) 1)
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 d d)) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (+.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 (.f64 c a) (-.f64 (.f64 c a) (*.f64 d b)))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (.f64 1 (+.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 (.f64 c a) (-.f64 (.f64 c a) (.f64 d b))))))
(pow.f64 (fma.f64 d b (*.f64 c a)) 1)
(pow.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) 2)
(pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 3)
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) 3) 1/3)
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(sqrt.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) 2))
(log.f64 (exp.f64 (fma.f64 d b (*.f64 c a))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 d b (*.f64 c a)))))
(cbrt.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) 3))
(expm1.f64 (log1p.f64 (fma.f64 d b (*.f64 c a))))
(exp.f64 (log.f64 (fma.f64 d b (*.f64 c a))))
(exp.f64 (.f64 (log.f64 (fma.f64 d b (.f64 c a))) 1))
(log1p.f64 (expm1.f64 (fma.f64 d b (*.f64 c a))))

Outputs
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (/.f64 d (/.f64 c b))))
(+.f64 a (fma.f64 -1/2 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) (.f64 (/.f64 d c) b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
(fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (/.f64 d (/.f64 c b)))))
(fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (+.f64 a (fma.f64 -1/2 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) (.f64 (/.f64 d c) b))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (*.f64 (/.f64 c d) a))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (+.f64 b (/.f64 c (/.f64 d a))) (.f64 -1/2 (/.f64 (.f64 b (.f64 c c)) (.f64 d d))))
(+.f64 (+.f64 b (.f64 (/.f64 c d) a)) (.f64 -1/2 (.f64 (/.f64 (.f64 c c) d) (/.f64 b d))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
(fma.f64 -1/2 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (+.f64 (+.f64 b (/.f64 c (/.f64 d a))) (.f64 -1/2 (/.f64 (.f64 b (.f64 c c)) (*.f64 d d)))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (+.f64 (+.f64 b (.f64 (/.f64 c d) a)) (.f64 -1/2 (.f64 (/.f64 (.f64 c c) d) (/.f64 b d)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))
(*.f64 -1 (+.f64 b (/.f64 c (/.f64 d a))))
(-.f64 (neg.f64 b) (*.f64 (/.f64 c d) a))
(+.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))))
(fma.f64 1/2 (/.f64 (.f64 b (.f64 c c)) (.f64 d d)) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a)))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 c c) 1/2) (/.f64 d (/.f64 b d))) b) (*.f64 (/.f64 c d) a))
(+.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)))))
(fma.f64 1/2 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (fma.f64 1/2 (/.f64 (.f64 b (.f64 c c)) (.f64 d d)) (*.f64 -1 (+.f64 b (/.f64 c (/.f64 d a))))))
(fma.f64 1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (-.f64 (-.f64 (/.f64 (.f64 (.f64 c c) 1/2) (/.f64 d (/.f64 b d))) b) (*.f64 (/.f64 c d) a)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 a (.f64 c (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
(.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 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
(.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 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (*.f64 (/.f64 c d) a))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (+.f64 b (/.f64 c (/.f64 d a))) (.f64 -1/2 (/.f64 (.f64 b (.f64 c c)) (.f64 d d))))
(+.f64 (+.f64 b (.f64 (/.f64 c d) a)) (.f64 -1/2 (.f64 (/.f64 (.f64 c c) d) (/.f64 b d))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
(fma.f64 -1/2 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (+.f64 (+.f64 b (/.f64 c (/.f64 d a))) (.f64 -1/2 (/.f64 (.f64 b (.f64 c c)) (*.f64 d d)))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (+.f64 (+.f64 b (.f64 (/.f64 c d) a)) (.f64 -1/2 (.f64 (/.f64 (.f64 c c) d) (/.f64 b d)))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (/.f64 d (/.f64 c b))))
(+.f64 a (fma.f64 -1/2 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) (.f64 (/.f64 d c) b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
(fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (/.f64 d (/.f64 c b)))))
(fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (+.f64 a (fma.f64 -1/2 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) (.f64 (/.f64 d c) b))))
(*.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))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a)))
(fma.f64 1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (fma.f64 -1 (/.f64 d (/.f64 c b)) (neg.f64 a)))
(-.f64 (-.f64 (.f64 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) 1/2) (*.f64 (/.f64 d c) b)) a)
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (*.f64 -1 a))))
(fma.f64 1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (fma.f64 -1 (/.f64 d (/.f64 c b)) (fma.f64 1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (neg.f64 a))))
(fma.f64 1/2 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (neg.f64 a)) (.f64 (/.f64 d c) b)))
(.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 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a 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))))))
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(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 a (.f64 c (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 d b (.f64 a c)))
d
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(fma.f64 1/2 (/.f64 (*.f64 c c) d) d)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d))
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c
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(+.f64 c (.f64 1/2 (/.f64 (.f64 d d) c)))
(+.f64 c (/.f64 (.f64 (.f64 1/2 d) d) c))
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(*.f64 -1 c)
(neg.f64 c)
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(fma.f64 -1/2 (/.f64 (*.f64 d d) c) (neg.f64 c))
(-.f64 (/.f64 -1/2 (/.f64 c (*.f64 d d))) c)
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c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
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d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
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(/.f64 a c)
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(/.f64 b d)
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(/.f64 b d)
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(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 a c) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
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(/.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 b) (+.f64 (.f64 d d) (*.f64 c c)))
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(/.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 b) (+.f64 (.f64 d d) (*.f64 c c)))
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(/.f64 b d)
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(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 d b (.f64 c a))))) (sqrt.f64 (fma.f64 d b (*.f64 c a))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2))) (cbrt.f64 (fma.f64 d b (*.f64 c a))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 1)
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)) 2)
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 3)
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 d b (.f64 c a)))) -1)
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (neg.f64 (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))) 1))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (/.f64 -1 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (.f64 1 (/.f64 (fma.f64 d b (.f64 c a)) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (neg.f64 (hypot.f64 c d)))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 3/2)) (neg.f64 (sqrt.f64 (hypot.f64 c d)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 3/2))) (neg.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (neg.f64 (fma.f64 d b (*.f64 a c))) (pow.f64 (hypot.f64 c d) 3/2)) (neg.f64 (sqrt.f64 (hypot.f64 c d))))
(neg.f64 (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (neg.f64 (hypot.f64 c d))) (hypot.f64 c d)))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 a c))) (hypot.f64 c d)) 4))
(log.f64 (exp.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 3))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(exp.f64 (log.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 1))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(+.f64 (.f64 c a) (.f64 d b))
(fma.f64 d b (*.f64 a c))
(+.f64 (.f64 c a) (.f64 (*.f64 d b) 1))
(fma.f64 d b (*.f64 a c))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 a c))
(+.f64 (.f64 (.f64 d b) 1) (*.f64 c a))
(fma.f64 d b (*.f64 a c))
(+.f64 (.f64 1 (.f64 (.f64 d b) 1)) (.f64 c a))
(fma.f64 d b (*.f64 a c))
(+.f64 (.f64 (.f64 (.f64 d b) 1) 1) (.f64 c a))
(fma.f64 d b (*.f64 a c))
(+.f64 (neg.f64 (.f64 d (neg.f64 b))) (neg.f64 (.f64 c (neg.f64 a))))
(fma.f64 d b (*.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (.f64 c a))) (-.f64 1 (.f64 d b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a c))) (-.f64 1 (.f64 d b)))
(+.f64 -1 (fma.f64 d b (exp.f64 (log1p.f64 (*.f64 a c)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 d b (*.f64 c a)))) 1)
(fma.f64 d b (*.f64 a c))
(-.f64 (+.f64 (.f64 d b) (exp.f64 (log1p.f64 (.f64 c a)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 a c))) (-.f64 1 (.f64 d b)))
(+.f64 -1 (fma.f64 d b (exp.f64 (log1p.f64 (*.f64 a c)))))
(-.f64 (+.f64 (.f64 (.f64 d b) 1) (exp.f64 (log1p.f64 (*.f64 c a)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 a c))) (-.f64 1 (.f64 d b)))
(+.f64 -1 (fma.f64 d b (exp.f64 (log1p.f64 (*.f64 a c)))))
(.f64 (fma.f64 d b (.f64 c a)) 1)
(fma.f64 d b (*.f64 a c))
(.f64 1 (fma.f64 d b (.f64 c a)))
(fma.f64 d b (*.f64 a c))
(.f64 (sqrt.f64 (fma.f64 d b (.f64 c a))) (sqrt.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 d b (*.f64 a c))
(.f64 (sqrt.f64 (fma.f64 d b (.f64 c a))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))))))
(fma.f64 d b (*.f64 a c))
(.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) (pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 2))
(fma.f64 d b (*.f64 a c))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2) (cbrt.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 d b (*.f64 a c))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))))))
(fma.f64 d b (*.f64 a c))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (.f64 c a)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (.f64 a c)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (*.f64 a c))))))
(neg.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (.f64 a c)))) (sqrt.f64 (neg.f64 (fma.f64 d b (*.f64 a c))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 c a)))) (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 c a))))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))))
(.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 a c)))) (.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 a c)))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (*.f64 a c)))))))
(.f64 -1 (neg.f64 (fma.f64 d b (.f64 c a))))
(fma.f64 d b (*.f64 a c))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 d b (.f64 c a)))) (neg.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a)))))
(fma.f64 d b (*.f64 a c))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2)) (neg.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a)))))
(fma.f64 d b (*.f64 a c))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (.f64 c a))))) (sqrt.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (.f64 a c)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (*.f64 a c))))))
(neg.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 d b (.f64 a c)))) (sqrt.f64 (neg.f64 (fma.f64 d b (*.f64 a c))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 c a)))) (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 c a)))))) (cbrt.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))))
(.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 a c)))) (.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (.f64 a c)))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 d b (*.f64 a c)))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 d b (.f64 c a))))) (sqrt.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 d b (*.f64 a c))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2))) (cbrt.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 d b (*.f64 a c))
(/.f64 (fma.f64 d b (*.f64 c a)) 1)
(fma.f64 d b (*.f64 a c))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 d d)) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a)))
(/.f64 (-.f64 (.f64 b (.f64 b (.f64 d d))) (pow.f64 (.f64 a c) 2)) (fma.f64 d b (*.f64 c (neg.f64 a))))
(/.f64 (-.f64 (.f64 (.f64 d b) (.f64 d b)) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 d b) (.f64 a c)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (+.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 (.f64 c a) (-.f64 (.f64 c a) (*.f64 d b)))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 (.f64 b b) (.f64 d d) (.f64 c (.f64 a (fma.f64 c a (*.f64 d (neg.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 (.f64 b b) (.f64 d d) (.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 d b)))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (.f64 1 (+.f64 (.f64 (.f64 b b) (.f64 d d)) (.f64 (.f64 c a) (-.f64 (.f64 c a) (.f64 d b))))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 (.f64 b b) (.f64 d d) (.f64 c (.f64 a (fma.f64 c a (*.f64 d (neg.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 (.f64 b b) (.f64 d d) (.f64 (.f64 a c) (-.f64 (.f64 a c) (.f64 d b)))))
(pow.f64 (fma.f64 d b (*.f64 c a)) 1)
(fma.f64 d b (*.f64 a c))
(pow.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) 2)
(fma.f64 d b (*.f64 a c))
(pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 3)
(fma.f64 d b (*.f64 a c))
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) 3) 1/3)
(fma.f64 d b (*.f64 a c))
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 d b (*.f64 a c))
(sqrt.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) 2))
(sqrt.f64 (pow.f64 (fma.f64 d b (*.f64 a c)) 2))
(log.f64 (exp.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 d b (*.f64 a c))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 d b (*.f64 c a)))))
(fma.f64 d b (*.f64 a c))
(cbrt.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) 3))
(fma.f64 d b (*.f64 a c))
(expm1.f64 (log1p.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 d b (*.f64 a c))
(exp.f64 (log.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 d b (*.f64 a c))
(exp.f64 (.f64 (log.f64 (fma.f64 d b (.f64 c a))) 1))
(fma.f64 d b (*.f64 a c))
(log1p.f64 (expm1.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 d b (*.f64 a c))

localize5.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.8b	(/.f64 (.f64 d b) (.f64 d d))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`add-sqr-sqrt`
1716×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1580×	`add-cbrt-cube`
158×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	151	7
2	2312	7

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(/.f64 (.f64 d b) (.f64 d d))

Outputs

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-+r+`
1432×	`associate-/l*`
1270×	`times-frac`
988×	`associate-/r*`
600×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	857
1	359	797
2	1449	779
3	6587	779

Stop Event

1×	node limit

Counts

75 → 59

Calls

Call 1

Inputs
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(-.f64 (exp.f64 (log1p.f64 (/.f64 b d))) 1)
(.f64 d (.f64 b (pow.f64 d -2)))
(*.f64 d (/.f64 1 (/.f64 d (/.f64 b d))))
(.f64 b (.f64 d (pow.f64 d -2)))
(*.f64 b (/.f64 1 d))
(.f64 (.f64 d b) (pow.f64 d -2))
(*.f64 (/.f64 b d) 1)
(*.f64 1 (/.f64 b d))
(.f64 (sqrt.f64 (.f64 d b)) (.f64 (sqrt.f64 (.f64 d b)) (pow.f64 d -2)))
(*.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)))
(.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (.f64 (cbrt.f64 (.f64 d b)) (pow.f64 d -2)))
(*.f64 (cbrt.f64 (/.f64 b d)) (pow.f64 (cbrt.f64 (/.f64 b d)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)))
(*.f64 (/.f64 b 1) (/.f64 1 d))
(.f64 (/.f64 b 1) (/.f64 d (.f64 d d)))
(.f64 (pow.f64 d -2) (.f64 d b))
(.f64 (.f64 d (neg.f64 b)) (/.f64 1 (*.f64 d (neg.f64 d))))
(.f64 (/.f64 d 1) (/.f64 b (.f64 d d)))
(*.f64 (/.f64 1 d) (/.f64 b 1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 (.f64 d b) (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 d (.f64 d d)) b)
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 b (cbrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) d))
(*.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 d)) (/.f64 (sqrt.f64 b) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 d)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) 1) (/.f64 (sqrt.f64 (.f64 d b)) (.f64 d d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) 1) (/.f64 (cbrt.f64 (.f64 d b)) (.f64 d d)))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 d 4))) (/.f64 b (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 b (cbrt.f64 (pow.f64 d 4))) (/.f64 d (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) d) (/.f64 (cbrt.f64 (*.f64 d b)) d))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (/.f64 b d)))
(pow.f64 (/.f64 b d) 1)
(pow.f64 (sqrt.f64 (/.f64 b d)) 2)
(pow.f64 (cbrt.f64 (/.f64 b d)) 3)
(pow.f64 (pow.f64 (/.f64 b d) 3) 1/3)
(pow.f64 (/.f64 d b) -1)
(neg.f64 (/.f64 (.f64 d b) (.f64 d (neg.f64 d))))
(sqrt.f64 (pow.f64 (/.f64 b d) 2))
(log.f64 (exp.f64 (/.f64 b d)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b d))))
(cbrt.f64 (pow.f64 (/.f64 b d) 3))
(expm1.f64 (log1p.f64 (/.f64 b d)))
(exp.f64 (log.f64 (/.f64 b d)))
(exp.f64 (-.f64 (log.f64 b) (log.f64 d)))
(exp.f64 (*.f64 (log.f64 (/.f64 b d)) 1))
(log1p.f64 (expm1.f64 (/.f64 b d)))

Outputs
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(/.f64 b d)
(-.f64 (exp.f64 (log1p.f64 (/.f64 b d))) 1)
(/.f64 b d)
(.f64 d (.f64 b (pow.f64 d -2)))
(/.f64 b d)
(*.f64 d (/.f64 1 (/.f64 d (/.f64 b d))))
(/.f64 b d)
(.f64 b (.f64 d (pow.f64 d -2)))
(/.f64 b d)
(*.f64 b (/.f64 1 d))
(/.f64 b d)
(.f64 (.f64 d b) (pow.f64 d -2))
(/.f64 b d)
(*.f64 (/.f64 b d) 1)
(/.f64 b d)
(*.f64 1 (/.f64 b d))
(/.f64 b d)
(.f64 (sqrt.f64 (.f64 d b)) (.f64 (sqrt.f64 (.f64 d b)) (pow.f64 d -2)))
(/.f64 b d)
(*.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)))
(/.f64 b d)
(.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (.f64 (cbrt.f64 (.f64 d b)) (pow.f64 d -2)))
(/.f64 b d)
(*.f64 (cbrt.f64 (/.f64 b d)) (pow.f64 (cbrt.f64 (/.f64 b d)) 2))
(/.f64 b d)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)))
(/.f64 b d)
(*.f64 (/.f64 b 1) (/.f64 1 d))
(/.f64 b d)
(.f64 (/.f64 b 1) (/.f64 d (.f64 d d)))
(/.f64 b d)
(.f64 (pow.f64 d -2) (.f64 d b))
(/.f64 b d)
(.f64 (.f64 d (neg.f64 b)) (/.f64 1 (*.f64 d (neg.f64 d))))
(/.f64 b d)
(.f64 (/.f64 d 1) (/.f64 b (.f64 d d)))
(/.f64 b d)
(*.f64 (/.f64 1 d) (/.f64 b 1))
(/.f64 b d)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 (.f64 d b) (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 (.f64 b d) (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 d 4))) (/.f64 b (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 b d)
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(/.f64 (/.f64 b (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 b (*.f64 (sqrt.f64 d) (sqrt.f64 d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 b (cbrt.f64 d)))
(/.f64 (/.f64 b (cbrt.f64 d)) (pow.f64 (cbrt.f64 d) 2))
(pow.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 d)) 3)
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) d))
(/.f64 b d)
(*.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 d)) (/.f64 (sqrt.f64 b) (sqrt.f64 d)))
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(/.f64 (/.f64 b (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 b (*.f64 (sqrt.f64 d) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 b (cbrt.f64 d)))
(/.f64 (/.f64 b (cbrt.f64 d)) (pow.f64 (cbrt.f64 d) 2))
(pow.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 d)) 3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) d))
(/.f64 b d)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)))
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(/.f64 (/.f64 b (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 b (*.f64 (sqrt.f64 d) (sqrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 b (cbrt.f64 d)))
(/.f64 (/.f64 b (cbrt.f64 d)) (pow.f64 (cbrt.f64 d) 2))
(pow.f64 (/.f64 (cbrt.f64 b) (cbrt.f64 d)) 3)
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) 1) (/.f64 (sqrt.f64 (.f64 d b)) (.f64 d d)))
(/.f64 b d)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) 1) (/.f64 (cbrt.f64 (.f64 d b)) (.f64 d d)))
(/.f64 b d)
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 d 4))) (/.f64 b (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 (.f64 b d) (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 b (cbrt.f64 (pow.f64 d 4))) (/.f64 d (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 (.f64 b d) (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 d 4))) (/.f64 b (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 d b)) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 (.f64 b d) (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 d (cbrt.f64 (pow.f64 d 4))) (/.f64 b (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) d) (/.f64 (cbrt.f64 (*.f64 d b)) d))
(/.f64 b d)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 d b)) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (/.f64 b d)))
(.f64 (cbrt.f64 (/.f64 b d)) (/.f64 (pow.f64 (cbrt.f64 (.f64 b d)) 2) (cbrt.f64 (pow.f64 d 4))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (/.f64 (cbrt.f64 (pow.f64 d 4)) (cbrt.f64 (/.f64 b d))))
(pow.f64 (/.f64 b d) 1)
(/.f64 b d)
(pow.f64 (sqrt.f64 (/.f64 b d)) 2)
(/.f64 b d)
(pow.f64 (cbrt.f64 (/.f64 b d)) 3)
(/.f64 b d)
(pow.f64 (pow.f64 (/.f64 b d) 3) 1/3)
(/.f64 b d)
(pow.f64 (/.f64 d b) -1)
(/.f64 b d)
(neg.f64 (/.f64 (.f64 d b) (.f64 d (neg.f64 d))))
(/.f64 b d)
(sqrt.f64 (pow.f64 (/.f64 b d) 2))
(/.f64 b d)
(log.f64 (exp.f64 (/.f64 b d)))
(/.f64 b d)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b d))))
(/.f64 b d)
(cbrt.f64 (pow.f64 (/.f64 b d) 3))
(/.f64 b d)
(expm1.f64 (log1p.f64 (/.f64 b d)))
(/.f64 b d)
(exp.f64 (log.f64 (/.f64 b d)))
(/.f64 b d)
(exp.f64 (-.f64 (log.f64 b) (log.f64 d)))
(/.f64 b d)
(exp.f64 (*.f64 (log.f64 (/.f64 b d)) 1))
(/.f64 b d)
(log1p.f64 (expm1.f64 (/.f64 b d)))
(/.f64 b d)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 d d) (.f64 c c))
✓	16.7b	(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`associate-/r*`
1350×	`associate-/l*`
1342×	`associate-*r/`
1100×	`*-commutative`
960×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	217	38
2	3112	38

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs

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

simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1330×	`distribute-lft-in`
1318×	`distribute-rgt-in`
454×	`associate-/l*`
378×	`associate-/r*`
370×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	7252
1	951	7054
2	4096	6982

Stop Event

1×	node limit

Counts

194 → 222

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))))) 1)
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2)))
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(.f64 (.f64 c a) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 1)
(.f64 1 (.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))))
(.f64 (sqrt.f64 (.f64 c a)) (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (hypot.f64 c d)) (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)))
(.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (/.f64 (cbrt.f64 (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (cbrt.f64 (.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 2)))
(.f64 (cbrt.f64 (.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 2)) (cbrt.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))
(.f64 (-.f64 (.f64 d d) (.f64 c c)) (/.f64 (.f64 c a) (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (.f64 c a))
(.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(.f64 (.f64 c (neg.f64 a)) (/.f64 -1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) (sqrt.f64 (*.f64 c a)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) (pow.f64 (cbrt.f64 (*.f64 c a)) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 c (/.f64 (hypot.f64 c d) a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 (.f64 c a) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 c (/.f64 (hypot.f64 c d) a)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 a (pow.f64 (hypot.f64 c d) 2)) c)
(*.f64 (/.f64 a (pow.f64 (hypot.f64 c d) 2)) (/.f64 c 1))
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)))
(*.f64 (/.f64 a (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 c (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(.f64 (/.f64 (.f64 c a) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)) a)
(*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 a 1))
(.f64 (/.f64 (.f64 c a) (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (.f64 d d) (.f64 c c)))
(.f64 (/.f64 (.f64 c a) (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(.f64 (/.f64 -1 (pow.f64 (hypot.f64 c d) 2)) (.f64 c (neg.f64 a)))
(*.f64 (/.f64 c 1) (/.f64 a (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 a (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 a 1) (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 c (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 c (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 a (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (*.f64 c a)) (hypot.f64 c d)))
(.f64 (/.f64 (cbrt.f64 (.f64 c a)) (hypot.f64 c d)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (hypot.f64 c d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))
(pow.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
(pow.f64 (cbrt.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -1)
(neg.f64 (/.f64 c (/.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) a)))
(sqrt.f64 (pow.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 2))
(log.f64 (exp.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))))))
(cbrt.f64 (pow.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))
(exp.f64 (log.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 c c))) (-.f64 1 (.f64 d d)))
(-.f64 (exp.f64 (log1p.f64 (.f64 d d))) (-.f64 1 (.f64 c c)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(-.f64 (/.f64 (pow.f64 d 4) (-.f64 (.f64 d d) (.f64 c c))) (/.f64 (pow.f64 c 4) (-.f64 (.f64 d d) (.f64 c c))))
(-.f64 (+.f64 (.f64 d d) (exp.f64 (log1p.f64 (.f64 c c)))) 1)
(-.f64 (+.f64 (.f64 c c) (exp.f64 (log1p.f64 (.f64 d d)))) 1)
(*.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 c d) 2))
(*.f64 (hypot.f64 c d) (hypot.f64 c d))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (/.f64 (/.f64 1 (+.f64 c d)) (-.f64 d c)))
(.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 c d)) (-.f64 d c)) (-.f64 (pow.f64 d 4) (pow.f64 c 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))) (+.f64 (pow.f64 d 6) (pow.f64 c 6)))
(/.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(/.f64 (pow.f64 (hypot.f64 c d) 2) (/.f64 (-.f64 (.f64 d d) (.f64 c c)) (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (hypot.f64 c d) (/.f64 1 (hypot.f64 c d)))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (/.f64 1 (/.f64 (/.f64 1 (+.f64 c d)) (-.f64 d c))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))))
(/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (/.f64 (-.f64 (.f64 d d) (.f64 c c)) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (/.f64 (-.f64 (.f64 d d) (*.f64 c c)) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (neg.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) 1) (neg.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) 1) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) 1) (-.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (hypot.f64 c d)) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (hypot.f64 c d)) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (*.f64 (pow.f64 c 4) (pow.f64 c 4))) (/.f64 (/.f64 1 (+.f64 c d)) (-.f64 d c))) (+.f64 (pow.f64 c 4) (pow.f64 d 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (pow.f64 c 4) 3)) (/.f64 (/.f64 1 (+.f64 c d)) (-.f64 d c))) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (+.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (.f64 (pow.f64 c 6) (pow.f64 c 6))) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (-.f64 (pow.f64 d 6) (pow.f64 c 6)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (-.f64 (+.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (.f64 (pow.f64 c 6) (pow.f64 c 6))) (*.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) 1) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c)))) (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (+.f64 c d)) (-.f64 d c))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) 1) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 1 (.f64 d d) (.f64 c c))
(fma.f64 1 (.f64 c c) (.f64 d d))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 d d))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (cbrt.f64 (.f64 d d)) (.f64 c c))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 a d) (/.f64 c d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 c (/.f64 (*.f64 d d) a)))
(-.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a))))
(+.f64 (-.f64 (/.f64 c (/.f64 (.f64 d d) a)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 a (/.f64 (pow.f64 d 6) (pow.f64 c 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a)) (fma.f64 -1 (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a)) (/.f64 c (/.f64 (*.f64 d d) a)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a) (.f64 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) a)) (-.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (/.f64 a c) (-.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) a)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6))))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) a)) (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6)))) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (-.f64 (.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6)) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (/.f64 a c) (-.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) a)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6))))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) a)) (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6)))) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (-.f64 (.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6)) (-.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 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.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 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.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 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.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 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.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 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.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 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.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 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.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 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
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(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (fma.f64 c c (*.f64 d (neg.f64 d))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (neg.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (fma.f64 c c (*.f64 d (neg.f64 d))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (.f64 1 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (fma.f64 c c (*.f64 d (neg.f64 d))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (hypot.f64 c d) (/.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2))) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (hypot.f64 (pow.f64 c 3) (pow.f64 d 3)))
(.f64 (/.f64 (hypot.f64 (pow.f64 c 3) (pow.f64 d 3)) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (hypot.f64 c d))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (/.f64 (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (hypot.f64 c d)))
(.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (/.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) 1) (neg.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (fma.f64 c c (*.f64 d (neg.f64 d))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) 1) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) 1) (-.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (fma.f64 c c (*.f64 d (neg.f64 d))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (hypot.f64 c d)) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (hypot.f64 c d) (/.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2))) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (hypot.f64 (pow.f64 c 3) (pow.f64 d 3)))
(.f64 (/.f64 (hypot.f64 (pow.f64 c 3) (pow.f64 d 3)) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (hypot.f64 c d))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (hypot.f64 c d)) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (/.f64 (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (hypot.f64 c d)))
(.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (/.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (*.f64 (pow.f64 c 4) (pow.f64 c 4))) (/.f64 (/.f64 1 (+.f64 c d)) (-.f64 d c))) (+.f64 (pow.f64 c 4) (pow.f64 d 4)))
(/.f64 (-.f64 (pow.f64 d 8) (pow.f64 c 8)) (/.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (/.f64 1 (*.f64 (-.f64 d c) (+.f64 c d)))))
(/.f64 (/.f64 (-.f64 (pow.f64 d 8) (pow.f64 c 8)) (/.f64 (-.f64 d c) (/.f64 1 (+.f64 c d)))) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (pow.f64 c 4) 3)) (/.f64 (/.f64 1 (+.f64 c d)) (-.f64 d c))) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (+.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(/.f64 (.f64 (/.f64 1 (.f64 (-.f64 d c) (+.f64 c d))) (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (pow.f64 c 4) 3))) (+.f64 (pow.f64 d 8) (+.f64 (pow.f64 c 8) (*.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 c 12)) (+.f64 (pow.f64 d 8) (fma.f64 (pow.f64 d 4) (pow.f64 c 4) (pow.f64 c 8)))) (/.f64 1 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (.f64 (pow.f64 c 6) (pow.f64 c 6))) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (-.f64 (pow.f64 d 6) (pow.f64 c 6)))
(/.f64 (-.f64 (pow.f64 d 12) (pow.f64 c 12)) (/.f64 (-.f64 (pow.f64 d 6) (pow.f64 c 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (-.f64 (pow.f64 d 12) (pow.f64 c 12)) (.f64 (-.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (-.f64 (+.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (.f64 (pow.f64 c 6) (pow.f64 c 6))) (*.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 d 12) (pow.f64 c 12)) (.f64 (pow.f64 d 6) (pow.f64 c 6))) (/.f64 1 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))) (+.f64 (pow.f64 d 12) (.f64 (pow.f64 c 6) (-.f64 (pow.f64 c 6) (pow.f64 d 6)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (.f64 (+.f64 (pow.f64 d 12) (-.f64 (pow.f64 c 12) (.f64 (pow.f64 d 6) (pow.f64 c 6)))) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) 1) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c)))) (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (+.f64 c d)) (-.f64 d c))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) 1) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)
(pow.f64 (hypot.f64 c d) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 c d) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(pow.f64 (hypot.f64 c d) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))
(pow.f64 (hypot.f64 c d) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 1 (.f64 d d) (.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 1 (.f64 c c) (.f64 d d))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 d d))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (cbrt.f64 (.f64 d d)) (.f64 c c))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.0b	(+.f64 b (/.f64 (*.f64 c a) d))
✓	4.0b	(/.f64 (*.f64 c a) d)
✓	5.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series18.0ms (0.2%)

Counts

3 → 60

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
5.0ms	d	@	inf	(/.f64 (*.f64 c a) d)
1.0ms	a	@	inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
1.0ms	b	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
1.0ms	a	@	-inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))

rewrite92.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`distribute-rgt-in`
696×	`distribute-lft-in`
522×	`associate-/r/`
466×	`distribute-lft-neg-in`
434×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	282	63
2	4029	63

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

852×	`associate-+r+`
818×	`associate-r`
760×	`+-commutative`
754×	`associate-l`
700×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	463	9863
1	1357	8717
2	6849	8717

Stop Event

1×	node limit

Counts

221 → 280

Calls

Call 1

Inputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1/2 (/.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 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a d)
(+.f64 (/.f64 b c) (/.f64 a d))
(+.f64 (/.f64 b c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 a d)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 a d))))
(*.f64 -1 (/.f64 a d))
(+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 b c)))
(+.f64 (.f64 -1 (/.f64 a d)) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 1/2 (/.f64 (.f64 a d) (pow.f64 c 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 a d)) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 1/2 (/.f64 (.f64 a d) (pow.f64 c 2))))))
(/.f64 a d)
(+.f64 (/.f64 b c) (/.f64 a d))
(+.f64 (/.f64 b c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 a d)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 a d))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1/2 (/.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 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(*.f64 -1 (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(/.f64 (*.f64 c a) d)
b
b
b
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
b
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
b
b
(+.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (*.f64 (/.f64 d a) (hypot.f64 c d))))
(+.f64 (/.f64 c (*.f64 (/.f64 d a) (hypot.f64 c d))) (/.f64 b (hypot.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) (hypot.f64 c d)))) 1)
(/.f64 1 (/.f64 (hypot.f64 c d) (+.f64 b (*.f64 (/.f64 a d) c))))
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) (hypot.f64 c d))
(/.f64 (sqrt.f64 (+.f64 b (.f64 (/.f64 a d) c))) (/.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 b (.f64 (/.f64 a d) c)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b (.f64 (/.f64 a d) c))) 2) (/.f64 (hypot.f64 c d) (cbrt.f64 (+.f64 b (.f64 (/.f64 a d) c)))))
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(log.f64 (exp.f64 (+.f64 b (*.f64 (/.f64 a d) c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (*.f64 (/.f64 a d) c)))))
(cbrt.f64 (pow.f64 (+.f64 b (*.f64 (/.f64 a d) c)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (*.f64 (/.f64 a d) c))))
(exp.f64 (log.f64 (+.f64 b (*.f64 (/.f64 a d) c))))
(exp.f64 (.f64 (log.f64 (+.f64 b (.f64 (/.f64 a d) c))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (*.f64 (/.f64 a d) c))))
(fma.f64 1 b (*.f64 (/.f64 a d) c))
(fma.f64 1 (*.f64 (/.f64 a d) c) b)
(fma.f64 (*.f64 c a) (/.f64 1 d) b)
(fma.f64 (sqrt.f64 (.f64 (/.f64 a d) c)) (sqrt.f64 (.f64 (/.f64 a d) c)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (/.f64 a d) c))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 a d) c)) 2) (cbrt.f64 (.f64 (/.f64 a d) c)) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 (/.f64 a d) c))

Outputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c (/.f64 a d)) d))
(+.f64 (.f64 -1/2 (/.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 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(+.f64 (/.f64 (.f64 c (/.f64 a d)) d) (fma.f64 -1/2 (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b) (/.f64 b d)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 c (/.f64 (.f64 d d) a)))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (/.f64 (.f64 c (/.f64 a d)) d)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (/.f64 b d)))
(/.f64 a d)
(+.f64 (/.f64 b c) (/.f64 a d))
(+.f64 (/.f64 a d) (/.f64 b c))
(+.f64 (/.f64 b c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 a d)))
(+.f64 (/.f64 b c) (fma.f64 -1/2 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 a d)))
(+.f64 (/.f64 b c) (fma.f64 -1/2 (*.f64 (/.f64 d c) (/.f64 a c)) (/.f64 a d)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 a d))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (+.f64 (/.f64 b c) (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) d)) (/.f64 a d))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 d c) (/.f64 a c)) (/.f64 a d)) (fma.f64 -1/2 (/.f64 (.f64 d (*.f64 d b)) (pow.f64 c 3)) (/.f64 b c)))
(*.f64 -1 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (.f64 -1 (/.f64 a d)) (.f64 -1 (/.f64 b c)))
(*.f64 -1 (+.f64 (/.f64 a d) (/.f64 b c)))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (.f64 -1 (/.f64 a d)) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 1/2 (/.f64 (.f64 a d) (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 a d) (fma.f64 -1 (/.f64 b c) (.f64 (/.f64 a (/.f64 (.f64 c c) d)) 1/2)))
(-.f64 (fma.f64 (*.f64 (/.f64 d c) (/.f64 a c)) 1/2 (/.f64 (neg.f64 b) c)) (/.f64 a d))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 a d)) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 1/2 (/.f64 (.f64 a d) (pow.f64 c 2))))))
(fma.f64 1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (fma.f64 -1 (/.f64 a d) (fma.f64 -1 (/.f64 b c) (.f64 (/.f64 a (/.f64 (*.f64 c c) d)) 1/2))))
(fma.f64 (/.f64 (.f64 d (.f64 d b)) (pow.f64 c 3)) 1/2 (-.f64 (fma.f64 (*.f64 (/.f64 d c) (/.f64 a c)) 1/2 (/.f64 (neg.f64 b) c)) (/.f64 a d)))
(/.f64 a d)
(+.f64 (/.f64 b c) (/.f64 a d))
(+.f64 (/.f64 a d) (/.f64 b c))
(+.f64 (/.f64 b c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 a d)))
(+.f64 (/.f64 b c) (fma.f64 -1/2 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 a d)))
(+.f64 (/.f64 b c) (fma.f64 -1/2 (*.f64 (/.f64 d c) (/.f64 a c)) (/.f64 a d)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a d) (pow.f64 c 2))) (/.f64 a d))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (+.f64 (/.f64 b c) (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) d)) (/.f64 a d))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 d c) (/.f64 a c)) (/.f64 a d)) (fma.f64 -1/2 (/.f64 (.f64 d (*.f64 d b)) (pow.f64 c 3)) (/.f64 b 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 (/.f64 a d)) d))
(+.f64 (.f64 -1/2 (/.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 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(+.f64 (/.f64 (.f64 c (/.f64 a d)) d) (fma.f64 -1/2 (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b) (/.f64 b d)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 c (/.f64 (.f64 d d) a)))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (/.f64 (.f64 c (/.f64 a d)) d)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (/.f64 b d)))
(*.f64 -1 (/.f64 b d))
(/.f64 (neg.f64 b) d)
(+.f64 (.f64 -1 (/.f64 b d)) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(.f64 -1 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c (/.f64 a d)) d))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (neg.f64 (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 c (.f64 c b)) 1/2) (pow.f64 d 3)) (/.f64 (.f64 c (/.f64 a d)) d)) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (neg.f64 (/.f64 c (/.f64 (.f64 d d) a))))))
(-.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))) (/.f64 (*.f64 c (/.f64 a d)) d)) (/.f64 b d))
(-.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))) (/.f64 (*.f64 c (/.f64 a d)) d)) (/.f64 b d))
(.f64 (/.f64 (.f64 c a) d) (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 (/.f64 a d)))
(.f64 (/.f64 a d) (.f64 c (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))))
(.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))))
(.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))))
(.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(.f64 (/.f64 (.f64 c a) d) (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 (/.f64 a d)))
(.f64 (/.f64 a d) (.f64 c (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(.f64 (/.f64 (.f64 c a) d) (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 (/.f64 a d)))
(.f64 (/.f64 a d) (.f64 c (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
(fma.f64 (.f64 c (/.f64 a d)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
(+.f64 (.f64 (/.f64 (.f64 c a) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c (/.f64 a d) b))
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(.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (-.f64 (.f64 b (pow.f64 b 3)) (.f64 (pow.f64 (.f64 c (/.f64 a d)) 2) (.f64 (-.f64 (.f64 c (/.f64 a d)) b) (-.f64 (.f64 c (/.f64 a d)) b))))) (-.f64 (.f64 b b) (.f64 (/.f64 a d) (.f64 c (-.f64 (.f64 c (/.f64 a d)) b)))))
(.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (-.f64 (pow.f64 b 4) (.f64 (-.f64 (.f64 c (/.f64 a d)) b) (.f64 (-.f64 (.f64 c (/.f64 a d)) b) (pow.f64 (.f64 c (/.f64 a d)) 2))))) (-.f64 (.f64 b b) (.f64 c (.f64 (/.f64 a d) (-.f64 (*.f64 c (/.f64 a d)) b)))))
(.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 (/.f64 a d) c) 3)) (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 (.f64 (/.f64 a d) c) (-.f64 (.f64 (/.f64 a d) c) b)) 3))) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 (/.f64 a d) c) (-.f64 (.f64 (/.f64 a d) c) b)) (-.f64 (.f64 (.f64 (/.f64 a d) c) (-.f64 (.f64 (/.f64 a d) c) b)) (*.f64 b b)))))
(.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (+.f64 (pow.f64 b 6) (pow.f64 (.f64 (/.f64 a d) (.f64 c (-.f64 (.f64 c (/.f64 a d)) b))) 3))) (+.f64 (.f64 b (pow.f64 b 3)) (.f64 (.f64 c (/.f64 a d)) (.f64 (-.f64 (.f64 c (/.f64 a d)) b) (-.f64 (.f64 (/.f64 a d) (.f64 c (-.f64 (.f64 c (/.f64 a d)) b))) (.f64 b b))))))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (fma.f64 (.f64 c (/.f64 a d)) (.f64 (-.f64 (.f64 c (/.f64 a d)) b) (-.f64 (.f64 c (.f64 (/.f64 a d) (-.f64 (.f64 c (/.f64 a d)) b))) (.f64 b b))) (pow.f64 b 4))) (+.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 (/.f64 a d) (-.f64 (.f64 c (/.f64 a d)) b))) 3)))
(/.f64 1 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) (-.f64 (.f64 b b) (pow.f64 (*.f64 (/.f64 a d) c) 2))))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 c (/.f64 a d)) 2)) (-.f64 b (*.f64 c (/.f64 a d))))
(/.f64 1 (/.f64 (fma.f64 b b (.f64 (.f64 (/.f64 a d) c) (-.f64 (.f64 (/.f64 a d) c) b))) (+.f64 (pow.f64 b 3) (pow.f64 (.f64 (/.f64 a d) c) 3))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (fma.f64 b b (.f64 (/.f64 a d) (.f64 c (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (fma.f64 b b (.f64 c (.f64 (/.f64 a d) (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 1 (.f64 1 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) (-.f64 (.f64 b b) (pow.f64 (.f64 (/.f64 a d) c) 2)))))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 c (/.f64 a d)) 2)) (-.f64 b (*.f64 c (/.f64 a d))))
(/.f64 1 (.f64 1 (/.f64 (fma.f64 b b (.f64 (.f64 (/.f64 a d) c) (-.f64 (.f64 (/.f64 a d) c) b))) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 (/.f64 a d) c) 3)))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (fma.f64 b b (.f64 (/.f64 a d) (.f64 c (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (fma.f64 b b (.f64 c (.f64 (/.f64 a d) (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) 1)
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 (/.f64 a d) c) 2)) (-.f64 b (*.f64 (/.f64 a d) c)))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 c (/.f64 a d)) 2)) (-.f64 b (*.f64 c (/.f64 a d))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 (/.f64 a d) c) 3)) (fma.f64 b b (.f64 (.f64 (/.f64 a d) c) (-.f64 (.f64 (/.f64 a d) c) b))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (fma.f64 b b (.f64 (/.f64 a d) (.f64 c (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (fma.f64 b b (.f64 c (.f64 (/.f64 a d) (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 (-.f64 (.f64 (pow.f64 b 3) (pow.f64 b 3)) (.f64 (pow.f64 (.f64 (/.f64 a d) c) 3) (pow.f64 (.f64 (/.f64 a d) c) 3))) (.f64 (fma.f64 b b (.f64 (.f64 (/.f64 a d) c) (-.f64 (.f64 (/.f64 a d) c) b))) (-.f64 (pow.f64 b 3) (pow.f64 (*.f64 (/.f64 a d) c) 3))))
(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (.f64 c (/.f64 a d)) 6)) (.f64 (fma.f64 b b (.f64 (/.f64 a d) (.f64 c (-.f64 (.f64 c (/.f64 a d)) b)))) (-.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3))))
(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (.f64 c (/.f64 a d)) 6)) (.f64 (fma.f64 b b (.f64 c (.f64 (/.f64 a d) (-.f64 (.f64 c (/.f64 a d)) b)))) (-.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 a d) c) 2) (.f64 b b)) (-.f64 (*.f64 (/.f64 a d) c) b))
(/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 a d)) 2) (.f64 b b)) (-.f64 (*.f64 c (/.f64 a d)) b))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (pow.f64 (.f64 (/.f64 a d) c) 2) (pow.f64 (.f64 (/.f64 a d) c) 2))) (.f64 (-.f64 b (.f64 (/.f64 a d) c)) (+.f64 (pow.f64 (.f64 (/.f64 a d) c) 2) (.f64 b b))))
(/.f64 (-.f64 (.f64 b (pow.f64 b 3)) (pow.f64 (.f64 c (/.f64 a d)) 4)) (.f64 (-.f64 b (.f64 c (/.f64 a d))) (+.f64 (.f64 b b) (pow.f64 (.f64 c (/.f64 a d)) 2))))
(/.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 c (/.f64 a d)) 4)) (.f64 (-.f64 b (.f64 c (/.f64 a d))) (fma.f64 b b (pow.f64 (.f64 c (/.f64 a d)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (pow.f64 (.f64 (/.f64 a d) c) 3) 3)) (.f64 (fma.f64 b b (.f64 (.f64 (/.f64 a d) c) (-.f64 (.f64 (/.f64 a d) c) b))) (+.f64 (.f64 (pow.f64 b 3) (pow.f64 b 3)) (.f64 (pow.f64 (.f64 (/.f64 a d) c) 3) (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) 3) (pow.f64 b 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (pow.f64 (.f64 c (/.f64 a d)) 3) 3)) (fma.f64 b b (.f64 (/.f64 a d) (.f64 c (-.f64 (.f64 c (/.f64 a d)) b))))) (+.f64 (pow.f64 b 6) (.f64 (pow.f64 (.f64 c (/.f64 a d)) 3) (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (pow.f64 (.f64 c (/.f64 a d)) 3) 3)) (fma.f64 (pow.f64 (.f64 c (/.f64 a d)) 3) (-.f64 (pow.f64 (.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (pow.f64 b 6))) (fma.f64 b b (.f64 c (.f64 (/.f64 a d) (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 (-.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (pow.f64 (.f64 (/.f64 a d) c) 2) 3)) (.f64 (-.f64 b (.f64 (/.f64 a d) c)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (pow.f64 (.f64 (/.f64 a d) c) 2) (+.f64 (pow.f64 (.f64 (/.f64 a d) c) 2) (*.f64 b b))))))
(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (pow.f64 (.f64 c (/.f64 a d)) 2) 3)) (.f64 (-.f64 b (.f64 c (/.f64 a d))) (+.f64 (.f64 b (pow.f64 b 3)) (+.f64 (pow.f64 (.f64 c (/.f64 a d)) 4) (.f64 (pow.f64 (.f64 c (/.f64 a d)) 2) (.f64 b b))))))
(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (.f64 c (/.f64 a d)) 6)) (.f64 (-.f64 b (.f64 c (/.f64 a d))) (fma.f64 (pow.f64 (.f64 c (/.f64 a d)) 2) (fma.f64 b b (pow.f64 (*.f64 c (/.f64 a d)) 2)) (pow.f64 b 4))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 (/.f64 a d) c) 2))) (+.f64 (neg.f64 b) (*.f64 (/.f64 a d) c)))
(/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 a d)) 2) (.f64 b b)) (-.f64 (*.f64 c (/.f64 a d)) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 (/.f64 a d) c) 3))) (neg.f64 (fma.f64 b b (.f64 (.f64 (/.f64 a d) c) (-.f64 (.f64 (/.f64 a d) c) b)))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (fma.f64 b b (.f64 (/.f64 a d) (.f64 c (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (.f64 c (/.f64 a d)) 3)) (fma.f64 b b (.f64 c (.f64 (/.f64 a d) (-.f64 (.f64 c (/.f64 a d)) b)))))
(pow.f64 (+.f64 b (*.f64 (/.f64 a d) c)) 1)
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(pow.f64 (sqrt.f64 (+.f64 b (*.f64 (/.f64 a d) c))) 2)
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(pow.f64 (cbrt.f64 (+.f64 b (*.f64 (/.f64 a d) c))) 3)
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(pow.f64 (pow.f64 (+.f64 b (*.f64 (/.f64 a d) c)) 3) 1/3)
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(sqrt.f64 (pow.f64 (+.f64 b (*.f64 (/.f64 a d) c)) 2))
(sqrt.f64 (pow.f64 (+.f64 b (*.f64 c (/.f64 a d))) 2))
(fabs.f64 (fma.f64 c (/.f64 a d) b))
(log.f64 (exp.f64 (+.f64 b (*.f64 (/.f64 a d) c))))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (*.f64 (/.f64 a d) c)))))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(cbrt.f64 (pow.f64 (+.f64 b (*.f64 (/.f64 a d) c)) 3))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(expm1.f64 (log1p.f64 (+.f64 b (*.f64 (/.f64 a d) c))))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(exp.f64 (log.f64 (+.f64 b (*.f64 (/.f64 a d) c))))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(exp.f64 (.f64 (log.f64 (+.f64 b (.f64 (/.f64 a d) c))) 1))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(log1p.f64 (expm1.f64 (+.f64 b (*.f64 (/.f64 a d) c))))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 1 b (*.f64 (/.f64 a d) c))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 1 (*.f64 (/.f64 a d) c) b)
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 (*.f64 c a) (/.f64 1 d) b)
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 (sqrt.f64 (.f64 (/.f64 a d) c)) (sqrt.f64 (.f64 (/.f64 a d) c)) b)
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (/.f64 a d) c))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 a d) c)) 2) (cbrt.f64 (.f64 (/.f64 a d) c)) b)
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 (/.f64 a d) c))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)

eval345.0ms (3.1%)

Compiler: Compiled 22530 to 8259 computations (63.3% saved)

prune310.0ms (2.8%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	954	12	966
Fresh	4	12	16
Picked	1	0	1
Done	3	3	6
Total	962	27	989

Error

Counts

989 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	49.2b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
	31.7b	(/.f64 (fma.f64 d (/.f64 b c) a) c)
▶	17.6b	(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) 2))
	45.7b	(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) (hypot.f64 c d))
	52.4b	(/.f64 (.f64 d b) (.f64 c c))
	50.9b	(/.f64 (.f64 c a) (.f64 d d))
	56.0b	(/.f64 (neg.f64 b) d)
	58.4b	(/.f64 (neg.f64 a) d)
	38.8b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
▶	52.9b	(/.f64 d (/.f64 (*.f64 c c) b))
✓	38.3b	(/.f64 b d)
▶	58.3b	(/.f64 a d)
✓	39.0b	(/.f64 a c)
▶	32.2b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
✓	32.2b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
	31.7b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (neg.f64 d) (/.f64 c b)) (neg.f64 c)))
	31.7b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
	47.1b	(+.f64 (/.f64 a c) (/.f64 (sqrt.f64 b) (*.f64 (/.f64 c d) (/.f64 c (sqrt.f64 b)))))
	26.7b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
▶	26.8b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	27.1b	(*.f64 (/.f64 c (/.f64 (hypot.f64 c d) a)) (/.f64 1 (hypot.f64 c d)))
	37.8b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	50.1b	(*.f64 (/.f64 b c) (/.f64 d c))
	49.3b	(*.f64 (/.f64 a d) (/.f64 c d))
	42.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	44.0b	(*.f64 d (/.f64 1 (/.f64 d (/.f64 b d))))
	50.7b	(*.f64 b (/.f64 (/.f64 d c) c))

Compiler

Compiled 667 to 417 computations (37.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 d b (*.f64 c a))
✓	0.1b	(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) 2))
✓	0.5b	(pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)
	16.4b	(/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))

Compiler

Compiled 58 to 15 computations (74.1% saved)

series6.0ms (0%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)
1.0ms	d	@	0	(pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)
1.0ms	c	@	inf	(pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)
1.0ms	d	@	inf	(pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)
0.0ms	d	@	-inf	(pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`associate-*r/`
1568×	`associate-/l*`
1364×	`associate-*l/`
316×	`add-sqr-sqrt`
310×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	333	40
2	3889	40

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) 2))

Outputs

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

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

simplify133.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1626×	`associate-/l*`
1006×	`+-commutative`
892×	`fma-def`
756×	`*-commutative`
464×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	4723
1	598	4467
2	2313	4175
3	7827	4175

Stop Event

1×	node limit

Counts

113 → 129

Calls

Call 1

Inputs
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 3))) (.f64 -1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2)))))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 3))) (.f64 -1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))))))))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(+.f64 c (+.f64 (.f64 (pow.f64 d 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 c 3))) (.f64 -1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))))) (.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(+.f64 c (+.f64 (.f64 (pow.f64 d 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 c 3))) (.f64 -1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))))
(/.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 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 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 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 (exp.f64 (log1p.f64 (hypot.f64 c d))) 1)
(*.f64 (hypot.f64 c d) 1)
(*.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))
(*.f64 1 (hypot.f64 c d))
(.f64 (pow.f64 (hypot.f64 c d) 1/4) (.f64 (pow.f64 (hypot.f64 c d) 1/4) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(.f64 (cbrt.f64 (hypot.f64 c d)) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (hypot.f64 c d)))
(.f64 (.f64 (sqrt.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) 1/4)) (pow.f64 (hypot.f64 c d) 1/4))
(.f64 (.f64 (sqrt.f64 (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (sqrt.f64 (hypot.f64 c d))))
(sqrt.f64 (pow.f64 (hypot.f64 c d) 2))
(log.f64 (exp.f64 (hypot.f64 c d)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 c d))))
(cbrt.f64 (pow.f64 (hypot.f64 c d) 3))
(expm1.f64 (log1p.f64 (hypot.f64 c d)))
(hypot.f64 c d)
(exp.f64 (log.f64 (hypot.f64 c d)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) 1))
(log1p.f64 (expm1.f64 (hypot.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))) 1)
(.f64 (fma.f64 d b (.f64 c a)) (/.f64 (/.f64 1 (hypot.f64 c d)) (hypot.f64 c d)))
(.f64 (fma.f64 d b (.f64 c a)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 1)
(.f64 1 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))) (hypot.f64 c d)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 d b (.f64 c a))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) 2) (.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(.f64 (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (hypot.f64 c d)) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) 1) (/.f64 (/.f64 1 (hypot.f64 c d)) (hypot.f64 c d)))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 1 (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))) (hypot.f64 c d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a))) -1)
(neg.f64 (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))

Outputs
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(fma.f64 1/2 (/.f64 (*.f64 c c) d) d)
(fma.f64 1/2 (/.f64 c (/.f64 d c)) d)
(fma.f64 1/2 (*.f64 (/.f64 c d) c) d)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 3))) (.f64 -1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2)))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) d) d) (.f64 (pow.f64 c 4) (+.f64 (/.f64 1/16 (pow.f64 d 3)) (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))))))
(fma.f64 1/2 (/.f64 c (/.f64 d c)) (fma.f64 (pow.f64 c 4) (-.f64 (/.f64 1/16 (pow.f64 d 3)) (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))) d))
(fma.f64 1/2 (*.f64 (/.f64 c d) c) (fma.f64 (pow.f64 c 4) (-.f64 (neg.f64 (/.f64 1/16 (pow.f64 d 3))) (/.f64 1/16 (pow.f64 d 3))) d))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 3))) (.f64 -1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 d 3))) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))))))))
(fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) d) d) (.f64 (pow.f64 c 4) (+.f64 (/.f64 1/16 (pow.f64 d 3)) (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2)))))))
(fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) (fma.f64 1/2 (/.f64 c (/.f64 d c)) (fma.f64 (pow.f64 c 4) (-.f64 (/.f64 1/16 (pow.f64 d 3)) (+.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2))) d)))
(fma.f64 1/2 (*.f64 (/.f64 c d) c) (fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) (fma.f64 (pow.f64 c 4) (-.f64 (neg.f64 (/.f64 1/16 (pow.f64 d 3))) (/.f64 1/16 (pow.f64 d 3))) d)))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(+.f64 c (.f64 1/2 (/.f64 (.f64 d d) c)))
(fma.f64 1/2 (/.f64 d (/.f64 c d)) c)
(fma.f64 1/2 (*.f64 (/.f64 d c) d) c)
(+.f64 c (+.f64 (.f64 (pow.f64 d 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 c 3))) (.f64 -1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))))) (.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(+.f64 c (fma.f64 (pow.f64 d 4) (+.f64 (/.f64 1/16 (pow.f64 c 3)) (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)))) (.f64 1/2 (/.f64 (*.f64 d d) c))))
(+.f64 c (fma.f64 1/2 (/.f64 d (/.f64 c d)) (.f64 (pow.f64 d 4) (-.f64 (/.f64 1/16 (pow.f64 c 3)) (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))))))
(fma.f64 1/2 (*.f64 (/.f64 d c) d) (fma.f64 (pow.f64 d 4) (-.f64 (neg.f64 (/.f64 1/16 (pow.f64 c 3))) (/.f64 1/16 (pow.f64 c 3))) c))
(+.f64 c (+.f64 (.f64 (pow.f64 d 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 c 3))) (.f64 -1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 c 3))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))))
(+.f64 c (fma.f64 (pow.f64 d 4) (+.f64 (/.f64 1/16 (pow.f64 c 3)) (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2)))) (fma.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5)) (.f64 1/2 (/.f64 (*.f64 d d) c)))))
(+.f64 c (fma.f64 (pow.f64 d 4) (-.f64 (/.f64 1/16 (pow.f64 c 3)) (+.f64 (/.f64 1/8 (pow.f64 c 3)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 c 3)))) 2))) (fma.f64 1/2 (/.f64 d (/.f64 c d)) (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5)) (.f64 (/.f64 1/2 c) (.f64 d d))) (fma.f64 (pow.f64 d 4) (-.f64 (neg.f64 (/.f64 1/16 (pow.f64 c 3))) (/.f64 1/16 (pow.f64 c 3))) c))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(+.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 (.f64 (.f64 d d) a) (pow.f64 c 3)) (/.f64 d (/.f64 (*.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -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 (.f64 (.f64 d d) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4)) (/.f64 d (/.f64 (.f64 c c) b)))))
(+.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 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (-.f64 (/.f64 a c) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3)))))
(/.f64 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 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 (.f64 c a) (*.f64 d d))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.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 d) (/.f64 a d))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (.f64 (/.f64 (*.f64 c c) (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 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3))))
(/.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 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 (.f64 c a) (*.f64 d d))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.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 d) (/.f64 a d))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (.f64 (/.f64 (*.f64 c c) (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 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(.f64 (/.f64 a (fma.f64 d d (.f64 c 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 c a) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
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(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (hypot.f64 c d)) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) 1) (/.f64 (/.f64 1 (hypot.f64 c d)) (hypot.f64 c d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 1 (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (.f64 c a))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))) (hypot.f64 c d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 1)
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 c d)) 2)
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 3)
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a))) -1)
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(.f64 (/.f64 (neg.f64 (fma.f64 d b (.f64 c a))) (hypot.f64 c d)) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) 3))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(exp.f64 (log.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2))) 1))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))

localize4.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.6b	(/.f64 (*.f64 c c) b)
✓	7.6b	(/.f64 d (/.f64 (*.f64 c c) b))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`add-sqr-sqrt`
1970×	`*-un-lft-identity`
1840×	`add-cube-cbrt`
1814×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	173	32
2	2542	32

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate--r+`
974×	`unswap-sqr`
814×	`*-commutative`
762×	`associate-/r/`
648×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2497
1	512	2449
2	2207	2443
3	6863	2443

Stop Event

1×	node limit

Counts

137 → 94

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(/.f64 (pow.f64 c 2) b)
(-.f64 (exp.f64 (log1p.f64 (.f64 d (/.f64 b (.f64 c c))))) 1)
(.f64 d (/.f64 b (.f64 c c)))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 (.f64 d (/.f64 b (*.f64 c c))) 1)
(.f64 1 (.f64 d (/.f64 b (*.f64 c c))))
(*.f64 (/.f64 (sqrt.f64 d) (/.f64 c (sqrt.f64 b))) (/.f64 (sqrt.f64 d) (/.f64 c (sqrt.f64 b))))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) (/.f64 b (*.f64 c c))))
(.f64 (cbrt.f64 (.f64 d (/.f64 b (.f64 c c)))) (pow.f64 (cbrt.f64 (.f64 d (/.f64 b (*.f64 c c)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 d (/.f64 b (.f64 c c)))) 2) (cbrt.f64 (.f64 d (/.f64 b (*.f64 c c)))))
(.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) (/.f64 b (*.f64 c c))))
(.f64 (/.f64 d (.f64 c c)) b)
(.f64 (/.f64 b (.f64 c c)) d)
(.f64 (neg.f64 d) (/.f64 1 (/.f64 (.f64 c (neg.f64 c)) b)))
(.f64 (.f64 (/.f64 d (*.f64 c c)) 1) b)
(.f64 (.f64 (/.f64 d (*.f64 c c)) (sqrt.f64 b)) (sqrt.f64 b))
(.f64 (.f64 (/.f64 d (*.f64 c c)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (/.f64 d 1) (/.f64 b (.f64 c c)))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 1 (.f64 c c)) (/.f64 d (/.f64 1 b)))
(*.f64 (/.f64 1 (/.f64 c (sqrt.f64 b))) (/.f64 d (/.f64 c (sqrt.f64 b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) 2)) (/.f64 d (cbrt.f64 (*.f64 (/.f64 c b) c))))
(.f64 (/.f64 d (.f64 c (neg.f64 c))) (neg.f64 b))
(.f64 (/.f64 (sqrt.f64 d) (.f64 c c)) (/.f64 (sqrt.f64 d) (/.f64 1 b)))
(.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (.f64 (/.f64 c b) c)))
(.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (*.f64 (/.f64 c b) c))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 c c)) (/.f64 (cbrt.f64 d) (/.f64 1 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (.f64 (/.f64 c b) c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 c (sqrt.f64 b))) (/.f64 (cbrt.f64 d) (/.f64 c (sqrt.f64 b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) 2)) (cbrt.f64 (.f64 d (/.f64 b (.f64 c c)))))
(pow.f64 (.f64 d (/.f64 b (.f64 c c))) 1)
(pow.f64 (/.f64 (sqrt.f64 d) (/.f64 c (sqrt.f64 b))) 2)
(pow.f64 (cbrt.f64 (.f64 d (/.f64 b (.f64 c c)))) 3)
(pow.f64 (pow.f64 (.f64 d (/.f64 b (.f64 c c))) 3) 1/3)
(pow.f64 (/.f64 c (*.f64 d (/.f64 b c))) -1)
(neg.f64 (/.f64 d (/.f64 (*.f64 c (neg.f64 c)) b)))
(sqrt.f64 (pow.f64 (.f64 d (/.f64 b (.f64 c c))) 2))
(log.f64 (pow.f64 (exp.f64 d) (/.f64 b (*.f64 c c))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 d (/.f64 b (.f64 c c))))))
(cbrt.f64 (pow.f64 (.f64 d (/.f64 b (.f64 c c))) 3))
(expm1.f64 (log1p.f64 (.f64 d (/.f64 b (.f64 c c)))))
(exp.f64 (log.f64 (.f64 d (/.f64 b (.f64 c c)))))
(exp.f64 (.f64 (log.f64 (.f64 d (/.f64 b (*.f64 c c)))) 1))
(log1p.f64 (expm1.f64 (.f64 d (/.f64 b (.f64 c c)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) c))) 1)
(.f64 c (.f64 c (/.f64 1 b)))
(*.f64 c (/.f64 1 (/.f64 b c)))
(.f64 (.f64 c c) (/.f64 1 b))
(.f64 (.f64 (/.f64 c b) c) 1)
(.f64 1 (.f64 (/.f64 c b) c))
(*.f64 (/.f64 c (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
(.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 1 b)))
(.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) c)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) 2) (cbrt.f64 (*.f64 (/.f64 c b) c)))
(.f64 (/.f64 1 b) (.f64 c c))
(.f64 (.f64 c (neg.f64 c)) (/.f64 1 (neg.f64 b)))
(.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (.f64 c c) (sqrt.f64 b)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (.f64 c c) (cbrt.f64 b)))
(*.f64 (/.f64 c b) c)
(*.f64 (/.f64 c 1) (/.f64 c b))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) 1) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (sqrt.f64 b)) (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (.f64 (/.f64 c b) c)))
(pow.f64 (*.f64 (/.f64 c b) c) 1)
(pow.f64 (/.f64 c (sqrt.f64 b)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) c)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 c b) c) 3) 1/3)
(pow.f64 (/.f64 b (*.f64 c c)) -1)
(neg.f64 (/.f64 (*.f64 c c) (neg.f64 b)))
(sqrt.f64 (/.f64 (pow.f64 c 4) (*.f64 b b)))
(log.f64 (exp.f64 (*.f64 (/.f64 c b) c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) c))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) c) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) c)))
(exp.f64 (log.f64 (*.f64 (/.f64 c b) c)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 c b) c)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) c)))

Outputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(/.f64 (pow.f64 c 2) b)
(*.f64 c (/.f64 c b))
(-.f64 (exp.f64 (log1p.f64 (.f64 d (/.f64 b (.f64 c c))))) 1)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (.f64 d (/.f64 b (*.f64 c c))) 1)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 1 (.f64 d (/.f64 b (*.f64 c c))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 (sqrt.f64 d) (/.f64 c (sqrt.f64 b))) (/.f64 (sqrt.f64 d) (/.f64 c (sqrt.f64 b))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) (/.f64 b (*.f64 c c))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (cbrt.f64 (.f64 d (/.f64 b (.f64 c c)))) (pow.f64 (cbrt.f64 (.f64 d (/.f64 b (*.f64 c c)))) 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (pow.f64 (cbrt.f64 (.f64 d (/.f64 b (.f64 c c)))) 2) (cbrt.f64 (.f64 d (/.f64 b (*.f64 c c)))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 (cbrt.f64 d) (/.f64 b (*.f64 c c))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c c)) b)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 b (.f64 c c)) d)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (neg.f64 d) (/.f64 1 (/.f64 (.f64 c (neg.f64 c)) b)))
(.f64 (neg.f64 d) (.f64 (/.f64 1 (*.f64 c (neg.f64 c))) b))
(.f64 (neg.f64 d) (/.f64 b (.f64 c (neg.f64 c))))
(*.f64 (/.f64 d c) (/.f64 (neg.f64 b) (neg.f64 c)))
(.f64 (.f64 (/.f64 d (*.f64 c c)) 1) b)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (.f64 (/.f64 d (*.f64 c c)) (sqrt.f64 b)) (sqrt.f64 b))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (.f64 (/.f64 d (*.f64 c c)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d 1) (/.f64 b (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(.f64 (/.f64 1 (.f64 c c)) (/.f64 d (/.f64 1 b)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 1 (/.f64 c (sqrt.f64 b))) (/.f64 d (/.f64 c (sqrt.f64 b))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) 2)) (/.f64 d (cbrt.f64 (*.f64 (/.f64 c b) c))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 c (neg.f64 c))) (neg.f64 b))
(.f64 (neg.f64 d) (.f64 (/.f64 1 (*.f64 c (neg.f64 c))) b))
(.f64 (neg.f64 d) (/.f64 b (.f64 c (neg.f64 c))))
(*.f64 (/.f64 d c) (/.f64 (neg.f64 b) (neg.f64 c)))
(.f64 (/.f64 (sqrt.f64 d) (.f64 c c)) (/.f64 (sqrt.f64 d) (/.f64 1 b)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (.f64 (/.f64 c b) c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (*.f64 (/.f64 c b) c))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (.f64 c c)) (/.f64 (cbrt.f64 d) (/.f64 1 b)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (.f64 (/.f64 c b) c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 c (sqrt.f64 b))) (/.f64 (cbrt.f64 d) (/.f64 c (sqrt.f64 b))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) 2)) (cbrt.f64 (.f64 d (/.f64 b (.f64 c c)))))
(.f64 (cbrt.f64 (.f64 d (/.f64 b (.f64 c c)))) (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (.f64 c (/.f64 c b))) 2)))
(.f64 (cbrt.f64 (/.f64 (/.f64 b c) (/.f64 c d))) (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (cbrt.f64 (.f64 c (/.f64 c b))) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 d c) (/.f64 b c))) (pow.f64 (cbrt.f64 d) 2)) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 c b))) 2))
(pow.f64 (.f64 d (/.f64 b (.f64 c c))) 1)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(pow.f64 (/.f64 (sqrt.f64 d) (/.f64 c (sqrt.f64 b))) 2)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(pow.f64 (cbrt.f64 (.f64 d (/.f64 b (.f64 c c)))) 3)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(pow.f64 (pow.f64 (.f64 d (/.f64 b (.f64 c c))) 3) 1/3)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(pow.f64 (/.f64 c (*.f64 d (/.f64 b c))) -1)
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(neg.f64 (/.f64 d (/.f64 (*.f64 c (neg.f64 c)) b)))
(.f64 (neg.f64 d) (.f64 (/.f64 1 (*.f64 c (neg.f64 c))) b))
(.f64 (neg.f64 d) (/.f64 b (.f64 c (neg.f64 c))))
(*.f64 (/.f64 d c) (/.f64 (neg.f64 b) (neg.f64 c)))
(sqrt.f64 (pow.f64 (.f64 d (/.f64 b (.f64 c c))) 2))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(log.f64 (pow.f64 (exp.f64 d) (/.f64 b (*.f64 c c))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(log.f64 (+.f64 1 (expm1.f64 (.f64 d (/.f64 b (.f64 c c))))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(cbrt.f64 (pow.f64 (.f64 d (/.f64 b (.f64 c c))) 3))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(expm1.f64 (log1p.f64 (.f64 d (/.f64 b (.f64 c c)))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(exp.f64 (log.f64 (.f64 d (/.f64 b (.f64 c c)))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(exp.f64 (.f64 (log.f64 (.f64 d (/.f64 b (*.f64 c c)))) 1))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(log1p.f64 (expm1.f64 (.f64 d (/.f64 b (.f64 c c)))))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (/.f64 b c) (/.f64 c d))
(*.f64 (/.f64 d c) (/.f64 b c))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) c))) 1)
(*.f64 c (/.f64 c b))
(.f64 c (.f64 c (/.f64 1 b)))
(*.f64 c (/.f64 c b))
(*.f64 c (/.f64 1 (/.f64 b c)))
(*.f64 c (/.f64 c b))
(.f64 (.f64 c c) (/.f64 1 b))
(*.f64 c (/.f64 c b))
(.f64 (.f64 (/.f64 c b) c) 1)
(*.f64 c (/.f64 c b))
(.f64 1 (.f64 (/.f64 c b) c))
(*.f64 c (/.f64 c b))
(*.f64 (/.f64 c (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
(*.f64 c (/.f64 c b))
(.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 1 b)))
(.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (/.f64 1 b) (pow.f64 (cbrt.f64 c) 2)))
(*.f64 (cbrt.f64 (pow.f64 c 4)) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))
(.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) c)) 2))
(*.f64 c (/.f64 c b))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b) c)) 2) (cbrt.f64 (*.f64 (/.f64 c b) c)))
(*.f64 c (/.f64 c b))
(.f64 (/.f64 1 b) (.f64 c c))
(*.f64 c (/.f64 c b))
(.f64 (.f64 c (neg.f64 c)) (/.f64 1 (neg.f64 b)))
(/.f64 c (/.f64 (neg.f64 b) (neg.f64 c)))
(*.f64 c (/.f64 (neg.f64 c) (neg.f64 b)))
(.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (.f64 c c) (sqrt.f64 b)))
(*.f64 c (/.f64 c b))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (.f64 c c) (cbrt.f64 b)))
(*.f64 c (/.f64 c b))
(*.f64 (/.f64 c b) c)
(*.f64 c (/.f64 c b))
(*.f64 (/.f64 c 1) (/.f64 c b))
(*.f64 c (/.f64 c b))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))
(*.f64 c (/.f64 c b))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) 1) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))
(.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (/.f64 1 b) (pow.f64 (cbrt.f64 c) 2)))
(*.f64 (cbrt.f64 (pow.f64 c 4)) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (sqrt.f64 b)) (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)))
(.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (/.f64 1 b) (pow.f64 (cbrt.f64 c) 2)))
(*.f64 (cbrt.f64 (pow.f64 c 4)) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))
(.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (.f64 (/.f64 c b) c)))
(.f64 (cbrt.f64 (.f64 c (/.f64 c b))) (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 b) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 c (/.f64 c b))) (cbrt.f64 (pow.f64 c 4))) (pow.f64 (cbrt.f64 b) 2))
(pow.f64 (*.f64 (/.f64 c b) c) 1)
(*.f64 c (/.f64 c b))
(pow.f64 (/.f64 c (sqrt.f64 b)) 2)
(*.f64 c (/.f64 c b))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) c)) 3)
(*.f64 c (/.f64 c b))
(pow.f64 (pow.f64 (*.f64 (/.f64 c b) c) 3) 1/3)
(*.f64 c (/.f64 c b))
(pow.f64 (/.f64 b (*.f64 c c)) -1)
(*.f64 c (/.f64 c b))
(neg.f64 (/.f64 (*.f64 c c) (neg.f64 b)))
(.f64 (.f64 c (neg.f64 c)) (/.f64 1 (neg.f64 b)))
(/.f64 c (/.f64 (neg.f64 b) (neg.f64 c)))
(*.f64 c (/.f64 (neg.f64 c) (neg.f64 b)))
(sqrt.f64 (/.f64 (pow.f64 c 4) (*.f64 b b)))
(fabs.f64 (*.f64 c (/.f64 c b)))
(log.f64 (exp.f64 (*.f64 (/.f64 c b) c)))
(*.f64 c (/.f64 c b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) c))))
(*.f64 c (/.f64 c b))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) c) 3))
(*.f64 c (/.f64 c b))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) c)))
(*.f64 c (/.f64 c b))
(exp.f64 (log.f64 (*.f64 (/.f64 c b) c)))
(*.f64 c (/.f64 c b))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 c b) c)) 1))
(*.f64 c (/.f64 c b))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) c)))
(*.f64 c (/.f64 c b))

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.7b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
✓	2.7b	(/.f64 (/.f64 c d) (/.f64 d a))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series2.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`associate-/r/`
1338×	`associate-/l/`
582×	`distribute-lft-in`
278×	`add-sqr-sqrt`
276×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	257	46
2	4288	46

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c (*.f64 d d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 (/.f64 1 d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c d) (/.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 c (*.f64 d d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (/.f64 c (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (*.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c d)) (*.f64 (sqrt.f64 (/.f64 c d)) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (/.f64 c (*.f64 d d)))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c (*.f64 d d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c (*.f64 d d)))) 2) (cbrt.f64 (*.f64 a (/.f64 c (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c d)) 2) (*.f64 (cbrt.f64 (/.f64 c d)) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 d d)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a d) (/.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (*.f64 (/.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 c) d) (*.f64 -1 (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c (*.f64 d d)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c (*.f64 d d)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c (*.f64 d d)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 c d)) (/.f64 a d)) (sqrt.f64 (/.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c d) a) (/.f64 1 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (*.f64 (/.f64 1 d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c d) (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 (pow.f64 (cbrt.f64 d) 2) d)) (/.f64 a (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (sqrt.f64 (/.f64 a d))) (*.f64 (/.f64 c d) (sqrt.f64 (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d a)) 2)) (*.f64 (/.f64 c d) (cbrt.f64 (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 (neg.f64 d) d)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 d)) (*.f64 (/.f64 c d) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 d) (/.f64 a d)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (neg.f64 c) d))))) (#(struct:change 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simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-r`
902×	`*-commutative`
902×	`associate-l`
768×	`associate-*l/`
738×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	563	11295
1	1813	10889

Stop Event

1×	node limit

Counts

275 → 289

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
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(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3)) (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (.f64 a (/.f64 c (.f64 d d))) (-.f64 (.f64 a (/.f64 c (*.f64 d d))) (/.f64 b d)))))
(/.f64 (fma.f64 b (/.f64 d a) (*.f64 d (/.f64 c d))) (/.f64 d (/.f64 a d)))
(/.f64 (/.f64 (fma.f64 b (/.f64 d a) (*.f64 d (/.f64 c d))) d) (/.f64 d a))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3))) (.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (.f64 a (/.f64 c (.f64 d d))) (-.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))) (-.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 d a) b) (.f64 (/.f64 d a) b)) (.f64 (.f64 d (/.f64 c d)) (.f64 d (/.f64 c d)))) (.f64 (/.f64 d (/.f64 a d)) (-.f64 (.f64 (/.f64 d a) b) (*.f64 d (/.f64 c d)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2))) (.f64 (-.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d)))) (+.f64 (pow.f64 (.f64 a (/.f64 c (*.f64 d d))) 2) (pow.f64 (/.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b d) 3) 3) (pow.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (.f64 a (/.f64 c (.f64 d d))) (-.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (-.f64 (.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3)) (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 a (/.f64 c (*.f64 d d))) 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 d a) b) 3) (pow.f64 (.f64 d (/.f64 c d)) 3)) (.f64 (/.f64 d (/.f64 a d)) (+.f64 (.f64 (.f64 (/.f64 d a) b) (.f64 (/.f64 d a) b)) (-.f64 (.f64 (.f64 d (/.f64 c d)) (.f64 d (/.f64 c d))) (.f64 (.f64 (/.f64 d a) b) (.f64 d (/.f64 c d)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b d) 2) 3) (pow.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2) 3)) (.f64 (-.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d)))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (+.f64 (.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2)) (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2))))))
(/.f64 (+.f64 (.f64 c d) (.f64 (/.f64 d (/.f64 a d)) b)) (*.f64 (/.f64 d (/.f64 a d)) d))
(/.f64 (+.f64 (.f64 c (/.f64 d b)) (.f64 (/.f64 d (/.f64 a d)) 1)) (*.f64 (/.f64 d (/.f64 a d)) (/.f64 d b)))
(/.f64 (+.f64 (.f64 c (neg.f64 d)) (.f64 (/.f64 d (/.f64 a d)) (neg.f64 b))) (*.f64 (/.f64 d (/.f64 a d)) (neg.f64 d)))
(/.f64 (+.f64 (/.f64 d a) (.f64 (/.f64 c d) (/.f64 d b))) (.f64 (/.f64 d a) (/.f64 d b)))
(/.f64 (+.f64 (.f64 (/.f64 c d) (neg.f64 d)) (.f64 (/.f64 d a) (neg.f64 b))) (*.f64 (/.f64 d a) (neg.f64 d)))
(/.f64 (+.f64 d (.f64 (.f64 (/.f64 d (.f64 c a)) d) b)) (.f64 (.f64 (/.f64 d (.f64 c a)) d) d))
(/.f64 (+.f64 (/.f64 d b) (.f64 (.f64 (/.f64 d (.f64 c a)) d) 1)) (.f64 (.f64 (/.f64 d (.f64 c a)) d) (/.f64 d b)))
(/.f64 (+.f64 (neg.f64 d) (.f64 (.f64 (/.f64 d (.f64 c a)) d) (neg.f64 b))) (.f64 (.f64 (/.f64 d (.f64 c a)) d) (neg.f64 d)))
(/.f64 (+.f64 (.f64 (/.f64 (neg.f64 c) d) d) (.f64 (/.f64 (neg.f64 d) a) b)) (*.f64 (/.f64 (neg.f64 d) a) d))
(/.f64 (+.f64 (.f64 (/.f64 (neg.f64 c) d) (/.f64 d b)) (.f64 (/.f64 (neg.f64 d) a) 1)) (*.f64 (/.f64 (neg.f64 d) a) (/.f64 d b)))
(/.f64 (+.f64 (.f64 (/.f64 (neg.f64 c) d) (neg.f64 d)) (.f64 (/.f64 (neg.f64 d) a) (neg.f64 b))) (*.f64 (/.f64 (neg.f64 d) a) (neg.f64 d)))
(/.f64 (+.f64 (.f64 d c) (.f64 b (/.f64 d (/.f64 a d)))) (*.f64 d (/.f64 d (/.f64 a d))))
(/.f64 (+.f64 d (.f64 b (.f64 (/.f64 d (.f64 c a)) d))) (.f64 d (.f64 (/.f64 d (.f64 c a)) d)))
(/.f64 (+.f64 (.f64 b (/.f64 (neg.f64 d) a)) (.f64 d (/.f64 (neg.f64 c) d))) (*.f64 d (/.f64 (neg.f64 d) a)))
(/.f64 (+.f64 (/.f64 d (/.f64 a d)) (.f64 (/.f64 d b) c)) (.f64 (/.f64 d b) (/.f64 d (/.f64 a d))))
(/.f64 (+.f64 (/.f64 d a) (.f64 (/.f64 d b) (/.f64 c d))) (.f64 (/.f64 d b) (/.f64 d a)))
(/.f64 (+.f64 (.f64 (/.f64 d (.f64 c a)) d) (.f64 (/.f64 d b) 1)) (.f64 (/.f64 d b) (.f64 (/.f64 d (.f64 c a)) d)))
(/.f64 (+.f64 (/.f64 (neg.f64 d) a) (.f64 (/.f64 d b) (/.f64 (neg.f64 c) d))) (.f64 (/.f64 d b) (/.f64 (neg.f64 d) a)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 d (/.f64 a d))) (.f64 (neg.f64 d) c)) (*.f64 (neg.f64 d) (/.f64 d (/.f64 a d))))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 d a)) (.f64 (neg.f64 d) (/.f64 c d))) (*.f64 (neg.f64 d) (/.f64 d a)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (.f64 (/.f64 d (.f64 c a)) d)) (.f64 (neg.f64 d) 1)) (.f64 (neg.f64 d) (.f64 (/.f64 d (*.f64 c a)) d)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 (neg.f64 d) a)) (.f64 (neg.f64 d) (/.f64 (neg.f64 c) d))) (*.f64 (neg.f64 d) (/.f64 (neg.f64 d) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2))) (neg.f64 (-.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (.f64 a (/.f64 c (.f64 d d))) (-.f64 (.f64 a (/.f64 c (*.f64 d d))) (/.f64 b d))))))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d a) (*.f64 d (/.f64 c d)))) (neg.f64 (/.f64 d (/.f64 a d))))
(pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(exp.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 1 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a (/.f64 c (.f64 d d)))) 2) (cbrt.f64 (.f64 a (/.f64 c (.f64 d d)))) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
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(/.f64 (fma.f64 d (/.f64 (/.f64 d a) c) (/.f64 d b)) (/.f64 (/.f64 (pow.f64 d 3) (*.f64 c a)) b))
(/.f64 (+.f64 (/.f64 (neg.f64 d) a) (.f64 (/.f64 d b) (/.f64 (neg.f64 c) d))) (.f64 (/.f64 d b) (/.f64 (neg.f64 d) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 d b) (/.f64 (neg.f64 d) a)) (*.f64 (/.f64 (neg.f64 d) a) (/.f64 d b)))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 (*.f64 (/.f64 c d) (neg.f64 (/.f64 d b))) (/.f64 d a)) (neg.f64 d)) a) d) b)
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 d (/.f64 a d))) (.f64 (neg.f64 d) c)) (*.f64 (neg.f64 d) (/.f64 d (/.f64 a d))))
(/.f64 (fma.f64 (neg.f64 b) (.f64 (/.f64 d a) d) (neg.f64 (.f64 c d))) (.f64 (neg.f64 d) (.f64 (/.f64 d a) d)))
(.f64 (/.f64 (neg.f64 (fma.f64 c d (.f64 (/.f64 d a) (.f64 d b)))) (.f64 d (neg.f64 d))) (/.f64 a d))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 d a)) (.f64 (neg.f64 d) (/.f64 c d))) (*.f64 (neg.f64 d) (/.f64 d a)))
(/.f64 (.f64 (fma.f64 b (/.f64 d a) (.f64 d (/.f64 c d))) (neg.f64 a)) (*.f64 d (neg.f64 d)))
(.f64 1 (.f64 a (/.f64 (fma.f64 b (/.f64 d a) (.f64 d (/.f64 c d))) (.f64 d d))))
(/.f64 (+.f64 (.f64 (neg.f64 b) (.f64 (/.f64 d (.f64 c a)) d)) (.f64 (neg.f64 d) 1)) (.f64 (neg.f64 d) (.f64 (/.f64 d (*.f64 c a)) d)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (.f64 d d) (.f64 c a)) (neg.f64 d)) (.f64 (neg.f64 d) (/.f64 (.f64 d d) (*.f64 c a))))
(/.f64 (neg.f64 (fma.f64 b (.f64 d (/.f64 (/.f64 d a) c)) d)) (neg.f64 (/.f64 (pow.f64 d 3) (.f64 c a))))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 (neg.f64 d) a)) (.f64 (neg.f64 d) (/.f64 (neg.f64 c) d))) (*.f64 (neg.f64 d) (/.f64 (neg.f64 d) a)))
(.f64 (.f64 (/.f64 1 d) (/.f64 a d)) (fma.f64 b (/.f64 d a) (*.f64 d (/.f64 c d))))
(.f64 a (/.f64 (fma.f64 b (/.f64 d a) (.f64 d (/.f64 c d))) (*.f64 d d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2))) (neg.f64 (-.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))))
(/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2) (pow.f64 (/.f64 b d) 2)) (fma.f64 a (/.f64 c (*.f64 d d)) (neg.f64 (/.f64 b d))))
(/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (.f64 c (/.f64 a (.f64 d d))) (/.f64 b d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (.f64 a (/.f64 c (.f64 d d))) (-.f64 (.f64 a (/.f64 c (*.f64 d d))) (/.f64 b d))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3) (pow.f64 (/.f64 b d) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (.f64 c (/.f64 a (.f64 d d))) (fma.f64 a (/.f64 c (.f64 d d)) (neg.f64 (/.f64 b d))))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3) (pow.f64 (/.f64 b d) 3)) (fma.f64 (.f64 c (/.f64 a (.f64 d d))) (-.f64 (.f64 c (/.f64 a (*.f64 d d))) (/.f64 b d)) (pow.f64 (/.f64 b d) 2))))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d a) (*.f64 d (/.f64 c d)))) (neg.f64 (/.f64 d (/.f64 a d))))
(/.f64 (.f64 (fma.f64 b (/.f64 d a) (.f64 d (/.f64 c d))) (neg.f64 a)) (*.f64 d (neg.f64 d)))
(.f64 1 (.f64 a (/.f64 (fma.f64 b (/.f64 d a) (.f64 d (/.f64 c d))) (.f64 d d))))
(pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 1)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 3)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(pow.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 3) 1/3)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) 2))
(fabs.f64 (fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)))
(log.f64 (exp.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 3))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(exp.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 1))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 b (/.f64 1 d) (.f64 c (/.f64 a (.f64 d d))))
(fma.f64 1 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 (.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (/.f64 b d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a (/.f64 c (.f64 d d)))) 2) (cbrt.f64 (.f64 a (/.f64 c (.f64 d d)))) (/.f64 b d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))

localize76.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 c (hypot.f64 c d))
✓	0.0b	(/.f64 a (hypot.f64 c d))
✓	0.8b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series77.0ms (0.7%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
64.0ms	c	@	inf	(/.f64 c (hypot.f64 c d))
1.0ms	c	@	inf	(/.f64 a (hypot.f64 c d))
1.0ms	c	@	inf	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
1.0ms	d	@	inf	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
1.0ms	a	@	inf	(/.f64 a (hypot.f64 c d))

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`associate-/r*`
1538×	`associate-/l*`
1072×	`*-commutative`
872×	`unswap-sqr`
660×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	194	51
2	2685	51

Stop Event

1×	node limit

Counts

3 → 286

Calls

Call 1

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

Outputs

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

simplify199.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-/l/`
1380×	`associate-r`
1138×	`associate-/r*`
1078×	`associate-l`
1004×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	974	17036
1	2902	16924

Stop Event

1×	node limit

Counts

382 → 561

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 d 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 a (pow.f64 d 2)))) (.f64 a (+.f64 (.f64 1/8 (pow.f64 d 6)) (.f64 -1/8 (pow.f64 d 6)))))) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 6)) (.f64 1/8 (pow.f64 d 6))) a) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 d 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 a (pow.f64 d 2)))))) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) a)) (.f64 c (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 c a)) (.f64 -1 (.f64 (pow.f64 c 5) a))))) (.f64 c (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) a)))) (pow.f64 d 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) a)) (.f64 c (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) a)) (.f64 c (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 c a)) (.f64 -1 (.f64 (pow.f64 c 5) a))))) (.f64 c (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) a)))) (pow.f64 d 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) a)) (.f64 c (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 a d)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 d 5))) (.f64 -1/8 (/.f64 a (pow.f64 d 5)))))) (/.f64 a d)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 d 5))) (.f64 -1/8 (/.f64 a (pow.f64 d 5)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 6) (+.f64 (.f64 1/8 (/.f64 a (pow.f64 d 7))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 d 5))) (.f64 -1/8 (/.f64 a (pow.f64 d 5)))) (pow.f64 d 2)))))) (/.f64 a d))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4)))) (pow.f64 c 5))) (.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4)))))) (.f64 1/8 (.f64 a (pow.f64 d 6)))) (pow.f64 c 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4)))) (pow.f64 c 5))) (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))))
(*.f64 -1 (/.f64 a c))
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(neg.f64 (*.f64 1 (/.f64 a (neg.f64 (hypot.f64 c d)))))
(sqrt.f64 (pow.f64 (/.f64 a (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 a (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 a (hypot.f64 c d)) 3))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 a (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 a (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 a (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 c (hypot.f64 c d)))) 1)
(*.f64 c (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 c (hypot.f64 c d)) 1)
(*.f64 1 (/.f64 c (hypot.f64 c d)))
(*.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))) (sqrt.f64 (/.f64 c (hypot.f64 c d))))
(.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (/.f64 1 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2))
(*.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 c (hypot.f64 c d))))
(.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 1 (hypot.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) c)
(*.f64 (neg.f64 c) (/.f64 -1 (hypot.f64 c d)))
(.f64 (.f64 (sqrt.f64 c) (/.f64 1 (hypot.f64 c d))) (sqrt.f64 c))
(.f64 (.f64 (cbrt.f64 c) (/.f64 1 (hypot.f64 c d))) (pow.f64 (cbrt.f64 c) 2))
(*.f64 (/.f64 c (sqrt.f64 (hypot.f64 c d))) (/.f64 1 (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 c (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 c (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 c (cbrt.f64 (hypot.f64 c d))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 -1 (hypot.f64 c d)) (neg.f64 c))
(*.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) (sqrt.f64 c))
(*.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) (/.f64 (sqrt.f64 c) 1))
(*.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (hypot.f64 c d))) (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (hypot.f64 c d)))
(*.f64 (/.f64 (cbrt.f64 c) (hypot.f64 c d)) (/.f64 (pow.f64 (cbrt.f64 c) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 c) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (cbrt.f64 c) (sqrt.f64 (hypot.f64 c d))) (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 c (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (hypot.f64 c d)) (cbrt.f64 c))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 c) 2))) (cbrt.f64 c))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d)))) (cbrt.f64 (/.f64 c (hypot.f64 c d)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d)))) (cbrt.f64 (/.f64 c (hypot.f64 c d)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))))) (*.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))))))
(pow.f64 (/.f64 c (hypot.f64 c d)) 1)
(pow.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))) 2)
(pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 c d) c) -1)
(neg.f64 (/.f64 c (neg.f64 (hypot.f64 c d))))
(neg.f64 (/.f64 (neg.f64 c) (hypot.f64 c d)))
(neg.f64 (*.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) 1))
(neg.f64 (*.f64 c (/.f64 -1 (hypot.f64 c d))))
(neg.f64 (*.f64 1 (/.f64 c (neg.f64 (hypot.f64 c d)))))
(neg.f64 (/.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) 1))
(sqrt.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 c (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 c (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) 3))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 c (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 c (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 c (hypot.f64 c d))))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(.f64 (/.f64 c (.f64 d d)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (.f64 (/.f64 c (*.f64 d d)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (.f64 (/.f64 c (.f64 d d)) a)) (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a)) (fma.f64 -1 (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a)) (/.f64 (.f64 c a) (.f64 d d)))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (+.f64 (.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a) (fma.f64 -1 (.f64 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) a) (.f64 (/.f64 c (*.f64 d d)) a))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(+.f64 (/.f64 a c) (/.f64 (neg.f64 a) (/.f64 (pow.f64 c 3) (*.f64 d d))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 (pow.f64 d 4) (.f64 0 a))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (/.f64 (neg.f64 a) (/.f64 (pow.f64 c 3) (.f64 d d)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 d 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 a (pow.f64 d 2)))) (.f64 a (+.f64 (.f64 1/8 (pow.f64 d 6)) (.f64 -1/8 (pow.f64 d 6)))))) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 d 6) 0) a (fma.f64 -1 (.f64 (.f64 d d) (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0)))) (neg.f64 (.f64 (.f64 a (.f64 d d)) (.f64 (pow.f64 d 4) 0))))) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 (pow.f64 d 4) (.f64 0 a))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (.f64 -1 (+.f64 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (fma.f64 (.f64 (pow.f64 d 6) 0) a (fma.f64 -1 (.f64 d (.f64 d (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 (pow.f64 d 4) (.f64 0 a))))) (.f64 (.f64 (neg.f64 a) (.f64 d d)) (.f64 (pow.f64 d 4) 0)))) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(+.f64 (/.f64 a c) (/.f64 (neg.f64 a) (/.f64 (pow.f64 c 3) (*.f64 d d))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 (pow.f64 d 4) (.f64 0 a))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (/.f64 (neg.f64 a) (/.f64 (pow.f64 c 3) (.f64 d d)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 c 5))) (+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 6)) (.f64 1/8 (pow.f64 d 6))) a) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 4))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) a)) (pow.f64 d 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 a (pow.f64 d 2)))))) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 d 6) 0) a (fma.f64 -1 (.f64 (.f64 d d) (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 a (.f64 (pow.f64 d 4) 0)))) (neg.f64 (.f64 (.f64 a (.f64 d d)) (.f64 (pow.f64 d 4) 0))))) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 (pow.f64 d 4) (.f64 0 a))) (pow.f64 c 5)) (+.f64 (/.f64 a c) (.f64 -1 (+.f64 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (fma.f64 (.f64 (pow.f64 d 6) 0) a (fma.f64 -1 (.f64 d (.f64 d (fma.f64 -1 (.f64 a (pow.f64 d 4)) (.f64 (pow.f64 d 4) (.f64 0 a))))) (.f64 (.f64 (neg.f64 a) (.f64 d d)) (.f64 (pow.f64 d 4) 0)))) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(+.f64 (/.f64 a c) (/.f64 (neg.f64 a) (/.f64 (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 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6))))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))) (+.f64 (/.f64 (neg.f64 a) (/.f64 (pow.f64 c 7) (pow.f64 d 6))) (/.f64 a c)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(.f64 (/.f64 c (.f64 d d)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (.f64 (/.f64 c (*.f64 d d)) a))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) a)) (.f64 c (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 c 5)) (.f64 c (.f64 a (.f64 (pow.f64 c 4) 0)))) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (.f64 d d))))
(fma.f64 -1 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) 0) (.f64 c a) (.f64 (neg.f64 a) (pow.f64 c 5))) (pow.f64 d 6)) (fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (.f64 (/.f64 c (.f64 d d)) a)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 c a)) (.f64 -1 (.f64 (pow.f64 c 5) a))))) (.f64 c (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) a)))) (pow.f64 d 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 5) a)) (.f64 c (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a))) (pow.f64 d 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 a (pow.f64 c 3)) (.f64 (pow.f64 c 4) 0)) (fma.f64 -1 (.f64 (.f64 c c) (fma.f64 (.f64 (pow.f64 c 4) 0) (.f64 c a) (neg.f64 (.f64 a (pow.f64 c 5))))) (.f64 c (.f64 a (.f64 (pow.f64 c 6) 0))))) (pow.f64 d 8)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 c 5)) (.f64 c (.f64 a (.f64 (pow.f64 c 4) 0)))) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 (.f64 c a) (*.f64 d d)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (.f64 (pow.f64 c 3) (.f64 (pow.f64 c 4) 0))) (fma.f64 -1 (.f64 c (.f64 c (fma.f64 (.f64 (pow.f64 c 4) 0) (.f64 c a) (.f64 (neg.f64 a) (pow.f64 c 5))))) (.f64 c (.f64 (pow.f64 c 6) (.f64 0 a))))) (pow.f64 d 8)) (fma.f64 -1 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) 0) (.f64 c a) (.f64 (neg.f64 a) (pow.f64 c 5))) (pow.f64 d 6)) (fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (.f64 (/.f64 c (*.f64 d d)) a))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
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(.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d)))) (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))))) (*.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d)))) (sqrt.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 2)))))
(pow.f64 (/.f64 c (hypot.f64 c d)) 1)
(/.f64 c (hypot.f64 c d))
(pow.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))) 2)
(/.f64 c (hypot.f64 c d))
(pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) 3)
(/.f64 c (hypot.f64 c d))
(pow.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) 3) 1/3)
(/.f64 c (hypot.f64 c d))
(pow.f64 (/.f64 (hypot.f64 c d) c) -1)
(/.f64 c (hypot.f64 c d))
(neg.f64 (/.f64 c (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 c) (neg.f64 (hypot.f64 c d)))
(neg.f64 (/.f64 (neg.f64 c) (hypot.f64 c d)))
(/.f64 c (hypot.f64 c d))
(neg.f64 (*.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) 1))
(/.f64 (neg.f64 c) (neg.f64 (hypot.f64 c d)))
(neg.f64 (*.f64 c (/.f64 -1 (hypot.f64 c d))))
(/.f64 c (hypot.f64 c d))
(neg.f64 (*.f64 1 (/.f64 c (neg.f64 (hypot.f64 c d)))))
(/.f64 (neg.f64 c) (neg.f64 (hypot.f64 c d)))
(neg.f64 (/.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) 1))
(/.f64 (neg.f64 c) (neg.f64 (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 c (hypot.f64 c d))))
(/.f64 c (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 c (hypot.f64 c d)))))
(/.f64 c (hypot.f64 c d))
(cbrt.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) 3))
(/.f64 c (hypot.f64 c d))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (hypot.f64 c d) 3)))
(/.f64 c (hypot.f64 c d))
(expm1.f64 (log1p.f64 (/.f64 c (hypot.f64 c d))))
(/.f64 c (hypot.f64 c d))
(exp.f64 (log.f64 (/.f64 c (hypot.f64 c d))))
(/.f64 c (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 c (hypot.f64 c d))))
(/.f64 c (hypot.f64 c d))

eval533.0ms (4.8%)

Compiler: Compiled 28639 to 9741 computations (66% saved)

prune592.0ms (5.3%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1234	10	1244
Fresh	5	14	19
Picked	1	0	1
Done	2	5	7
Total	1242	29	1271

Error

Counts

1271 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	49.2b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
	31.7b	(/.f64 (fma.f64 d (/.f64 b c) a) c)
	35.1b	(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) 2))
	27.0b	(/.f64 (/.f64 c (hypot.f64 c d)) (/.f64 (hypot.f64 c d) a))
	50.1b	(/.f64 (/.f64 b c) (/.f64 c d))
	52.4b	(/.f64 (.f64 d b) (.f64 c c))
	50.9b	(/.f64 (.f64 c a) (.f64 d d))
	56.0b	(/.f64 (neg.f64 b) d)
	58.4b	(/.f64 (neg.f64 a) d)
	38.8b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	51.7b	(/.f64 d (*.f64 (/.f64 c b) c))
✓	38.3b	(/.f64 b d)
✓	58.3b	(/.f64 a d)
✓	39.0b	(/.f64 a c)
✓	32.2b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
✓	32.2b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
	31.7b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (neg.f64 d) (/.f64 c b)) (neg.f64 c)))
	31.7b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
	45.5b	(.f64 (/.f64 (.f64 (/.f64 (-.f64 (*.f64 (/.f64 c d) (neg.f64 (/.f64 d b))) (/.f64 d a)) (neg.f64 d)) a) d) b)
	26.7b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	51.9b	(.f64 (/.f64 d (.f64 c c)) b)
	50.1b	(*.f64 (/.f64 d c) (/.f64 b c))
	51.6b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a d))
	37.8b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	51.1b	(.f64 (/.f64 c (.f64 d d)) a)
	49.3b	(*.f64 (/.f64 a d) (/.f64 c d))
	42.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	55.8b	(*.f64 (/.f64 1 (/.f64 c (sqrt.f64 b))) (/.f64 d (/.f64 c (sqrt.f64 b))))
	44.0b	(*.f64 d (/.f64 1 (/.f64 d (/.f64 b d))))

Compiler

Compiled 371 to 234 computations (36.9% saved)

regimes750.0ms (6.7%)

Counts

54 → 3

Calls

Call 1

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

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

Calls

5 calls:

206.0ms	d
167.0ms	c
146.0ms	b
114.0ms	a
79.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
10.1b	4	`a`
8.6b	5	`b`
7.9b	5	`c`
8.5b	5	`d`
7.1b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 608 to 188 computations (69.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.697426147739801e+286	+inf
0.0ms	-inf	-2.9759762403094314e+297

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes493.0ms (4.4%)

Counts

47 → 4

Calls

Call 1

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

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

Calls

5 calls:

162.0ms	a
100.0ms	c
96.0ms	d
64.0ms	b
60.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
10.6b	5	`a`
12.8b	3	`b`
10.3b	4	`c`
10.9b	4	`d`
10.8b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 489 to 155 computations (68.3% saved)

bsearch77.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
20.0ms	1.489768976550582e+48	6.619046690369544e+56
50.0ms	4.2585600906226997e-234	9.075659251598692e-225
7.0ms	-328197851702.5347	-266832317386.77594

Results

70.0ms	336×	body	256	valid
2.0ms	17×	body	256	infinite

Compiler

Compiled 770 to 473 computations (38.6% saved)

regimes506.0ms (4.5%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

4 calls:

200.0ms	a
125.0ms	b
89.0ms	c
86.0ms	d

Results

Error	Segments	Branch
17.8b	12	`a`
23.2b	5	`b`
13.7b	3	`c`
14.2b	3	`d`

Compiler

Compiled 268 to 82 computations (69.4% saved)

bsearch17.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	4.2922936403616825e-28	1.2142377333709295e-27
6.0ms	-328197851702.5347	-266832317386.77594

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 282 to 177 computations (37.2% saved)

regimes260.0ms (2.3%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

108.0ms	a
63.0ms	b
43.0ms	c
42.0ms	d

Results

Error	Segments	Branch
19.9b	9	`a`
23.2b	5	`b`
13.8b	3	`c`
14.2b	3	`d`

Compiler

Compiled 189 to 65 computations (65.6% saved)

bsearch10.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	7.776149510427635e-8	9.236691567616759e-8
6.0ms	-328197851702.5347	-266832317386.77594

Results

9.0ms

80×

body

256

valid

Compiler

Compiled 186 to 117 computations (37.1% saved)

regimes383.0ms (3.4%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

4 calls:

151.0ms	a
93.0ms	c
85.0ms	b
50.0ms	d

Results

Error	Segments	Branch
23.1b	7	`a`
24.4b	5	`b`
18.1b	3	`c`
17.1b	5	`d`

Compiler

Compiled 178 to 64 computations (64% saved)

bsearch119.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
47.0ms	4.259576923563158e+55	6.5628150640265e+61
16.0ms	2.6576878722885796e+20	1.2294626016361265e+25
18.0ms	2.079396391822846e-14	3.92078528104851e-6
10.0ms	-8.425251363760792e+48	-3.7174216562451485e+48

Results

85.0ms	496×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 906 to 581 computations (35.9% saved)

regimes444.0ms (4%)

Counts

21 → 4

Calls

Call 1

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

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

Calls

4 calls:

196.0ms	a
92.0ms	d
81.0ms	c
72.0ms	b

Results

Error	Segments	Branch
23.5b	7	`a`
24.8b	5	`b`
18.4b	3	`c`
17.8b	4	`d`

Compiler

Compiled 167 to 61 computations (63.5% saved)

bsearch44.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
13.0ms	9.621915708845166e+42	4.801969131949286e+43
18.0ms	2.079396391822846e-14	3.92078528104851e-6
13.0ms	-8.425251363760792e+48	-3.7174216562451485e+48

Results

40.0ms

320×

body

256

valid

Compiler

Compiled 578 to 373 computations (35.5% saved)

regimes248.0ms (2.2%)

Counts

19 → 4

Calls

Call 1

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

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

Calls

4 calls:

74.0ms	c
61.0ms	a
61.0ms	b
48.0ms	d

Results

Error	Segments	Branch
25.2b	6	`a`
26.3b	7	`b`
21.5b	4	`c`
22.5b	4	`d`

Compiler

Compiled 145 to 59 computations (59.3% saved)

bsearch53.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	2.8437405785997076e+115	9.292294216478638e+117
14.0ms	1.8021476383965664e-44	2.94753441810349e-42
19.0ms	-1.8519398699464622e+51	-4.2821025293640156e+43

Results

48.0ms	384×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 530 to 365 computations (31.1% saved)

regimes241.0ms (2.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

104.0ms	a
73.0ms	b
35.0ms	d
26.0ms	c

Results

Error	Segments	Branch
27.1b	5	`a`
28.8b	7	`b`
22.7b	3	`c`
24.0b	3	`d`

Compiler

Compiled 134 to 56 computations (58.2% saved)

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	4.316445636099957e+20	5.692776294368614e+21
18.0ms	-1.8519398699464622e+51	-4.2821025293640156e+43

Results

27.0ms

240×

body

256

valid

Compiler

Compiled 266 to 197 computations (25.9% saved)

regimes26.0ms (0.2%)

Accuracy

Total -24.6b remaining (-67.1%)

Threshold costs -24.6b (-67.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	c
9.0ms	d
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
39.0b	1	`a`
39.0b	1	`b`
37.7b	3	`c`
36.7b	3	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.2824820097721853e+214	1.221082953589635e+218
20.0ms	-1.1593760555972664e+213	-7.873996096215698e+205

Results

35.0ms

272×

body

256

valid

Compiler

Compiled 298 to 221 computations (25.8% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
12×	`+-commutative`
8×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	956
1	139	956

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) -inf.0) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c)))))
(if (<=.f64 c -300000000000) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c 1875379059247459/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 349999999999999999498885054091731340810158295555147563008) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c)))))
(if (<=.f64 c -270000000000) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c 6690223559559187/5575186299632655785383929568162090376495104) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))))
(if (<=.f64 c -300000000000) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c 812247035053579/9444732965739290427392) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))))
(if (<=.f64 d -4299999999999999782888933020794240145981379182592) (/.f64 b d) (if (<=.f64 d 7495340081610701/2417851639229258349412352) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 d 750000000000000000000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 d 680000000000000001515327703142799366334704674293791326208) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c)) (/.f64 b d)))))
(if (<=.f64 d -6499999999999999717090510890748510934598273728512) (/.f64 b d) (if (<=.f64 d 2184094498327211/590295810358705651712) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 11500000000000001212526967895899447664574464) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (/.f64 b d))))
(if (<=.f64 c -520000000000000006573910700518286285251903750144) (/.f64 a c) (if (<=.f64 c 8838159243424447/100433627766186892221372630771322662657637687111424552206336) (/.f64 b d) (if (<=.f64 c 6000000000000000023364473583744676565689137113762484908917201694002204721363874814471416365110255142904816020469317632) (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) (/.f64 a c))))
(if (<=.f64 c -23000000000000000197158005890685722198693044551680) (/.f64 a c) (if (<=.f64 c 750000000000000000000) (/.f64 b d) (/.f64 a c)))
(if (<=.f64 d -1400000000000000054451008571523743803830321490132828186680233348107678120051388554683119518510287819422570444367176986078944388559732125863156257141097765164962084207676637209623930381307183247070511369289728) (/.f64 a d) (if (<=.f64 d 210000000000000016745733137832167155293184300320538363082688366576546168606038254115825931954272378507250550679055019948455553913372490973479428130468137278035050316749856031913953848183878353488792783694295782653952) (/.f64 a c) (/.f64 a d)))
(/.f64 a c)

Outputs
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) -inf.0) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c)))))
(if (<=.f64 c -300000000000) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c 1875379059247459/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 349999999999999999498885054091731340810158295555147563008) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c)))))
(if (<=.f64 c -300000000000) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 c 1875379059247459/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (if (<=.f64 c 349999999999999999498885054091731340810158295555147563008) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) c)))))
(if (<=.f64 c -270000000000) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c 6690223559559187/5575186299632655785383929568162090376495104) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))))
(if (or (<=.f64 c -270000000000) (not (<=.f64 c 6690223559559187/5575186299632655785383929568162090376495104))) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))))
(if (<=.f64 c -300000000000) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c 812247035053579/9444732965739290427392) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))))
(if (or (<=.f64 c -300000000000) (not (<=.f64 c 812247035053579/9444732965739290427392))) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))))
(if (<=.f64 d -4299999999999999782888933020794240145981379182592) (/.f64 b d) (if (<=.f64 d 7495340081610701/2417851639229258349412352) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 d 750000000000000000000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 d 680000000000000001515327703142799366334704674293791326208) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c)) (/.f64 b d)))))
(if (<=.f64 d -4299999999999999782888933020794240145981379182592) (/.f64 b d) (if (<=.f64 d 7495340081610701/2417851639229258349412352) (+.f64 (/.f64 a c) (/.f64 (.f64 d (/.f64 b c)) c)) (if (<=.f64 d 750000000000000000000) (.f64 a (/.f64 c (+.f64 (.f64 c c) (.f64 d d)))) (if (<=.f64 d 680000000000000001515327703142799366334704674293791326208) (+.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) c)) (/.f64 b d)))))
(if (<=.f64 d -6499999999999999717090510890748510934598273728512) (/.f64 b d) (if (<=.f64 d 2184094498327211/590295810358705651712) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 11500000000000001212526967895899447664574464) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (/.f64 b d))))
(if (<=.f64 d -6499999999999999717090510890748510934598273728512) (/.f64 b d) (if (<=.f64 d 2184094498327211/590295810358705651712) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 11500000000000001212526967895899447664574464) (.f64 a (/.f64 c (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 b d))))
(if (<=.f64 c -520000000000000006573910700518286285251903750144) (/.f64 a c) (if (<=.f64 c 8838159243424447/100433627766186892221372630771322662657637687111424552206336) (/.f64 b d) (if (<=.f64 c 6000000000000000023364473583744676565689137113762484908917201694002204721363874814471416365110255142904816020469317632) (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) (/.f64 a c))))
(if (<=.f64 c -520000000000000006573910700518286285251903750144) (/.f64 a c) (if (<=.f64 c 8838159243424447/100433627766186892221372630771322662657637687111424552206336) (/.f64 b d) (if (<=.f64 c 6000000000000000023364473583744676565689137113762484908917201694002204721363874814471416365110255142904816020469317632) (.f64 a (/.f64 c (+.f64 (.f64 c c) (*.f64 d d)))) (/.f64 a c))))
(if (<=.f64 c -23000000000000000197158005890685722198693044551680) (/.f64 a c) (if (<=.f64 c 750000000000000000000) (/.f64 b d) (/.f64 a c)))
(if (<=.f64 d -1400000000000000054451008571523743803830321490132828186680233348107678120051388554683119518510287819422570444367176986078944388559732125863156257141097765164962084207676637209623930381307183247070511369289728) (/.f64 a d) (if (<=.f64 d 210000000000000016745733137832167155293184300320538363082688366576546168606038254115825931954272378507250550679055019948455553913372490973479428130468137278035050316749856031913953848183878353488792783694295782653952) (/.f64 a c) (/.f64 a d)))
(/.f64 a c)

Compiler

Compiled 400 to 205 computations (48.8% saved)

soundness250.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

1358×	`associate-/r/`
1358×	`associate-/r/`
724×	`times-frac`
724×	`times-frac`
696×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	11315
1	1229	10677
2	6068	10677
0	472	11315
1	1229	10677
2	6068	10677

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 96 to 44 computations (54.2% saved)

end88.0ms (0.8%)

Compiler: Compiled 364 to 106 computations (70.9% saved)