Details

analyze672.0ms (2.9%)

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)

sample1.6s (7.1%)

Results

1.5s	8256×	body	256	valid
104.0ms	520×	body	256	infinite

Bogosity

preprocess13.0ms (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)

simplify19.0ms (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)))

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

21.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.2b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	21.2b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.7b	(+.f64 (.f64 a c) (.f64 b d))
✓	20.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series14.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite143.0ms (0.6%)

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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simplify216.0ms (0.9%)

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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(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))

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 c c (*.f64 d d))
✓	0.8b	(fma.f64 a c (*.f64 b d))
✓	20.7b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series10.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite146.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`unswap-sqr`
754×	`swap-sqr`
636×	`associate-*r/`
620×	`associate-/r*`
522×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	242	61
2	3050	61

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify338.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1602×	`times-frac`
918×	`associate-r`
824×	`associate-l`
556×	`associate-/l*`
520×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	409	8406
1	1135	8208
2	6766	8208

Stop Event

1×	node limit

Counts

286 → 237

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

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

eval248.0ms (1.1%)

Compiler: Compiled 12443 to 4199 computations (66.3% saved)

prune204.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	490	15	505
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	492	15	507

Error

0.0b

Counts

507 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	21.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3))
	37.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (+.f64 c d)) (-.f64 c d)))
	21.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
▶	35.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	37.9b	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
	37.9b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
▶	36.4b	(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
	36.9b	(/.f64 b d)
▶	36.2b	(/.f64 a c)
	33.5b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
▶	33.7b	(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
	30.9b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	36.7b	(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
	36.6b	(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
▶	15.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 466 to 288 computations (38.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	0.8b	(fma.f64 a c (*.f64 b d))
✓	14.0b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series22.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(.f64 (/.f64 1 (hypot.f64 c d)) (/.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	d	@	inf	(/.f64 1 (hypot.f64 c d))
1.0ms	c	@	inf	(/.f64 1 (hypot.f64 c d))
1.0ms	b	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

rewrite200.0ms (0.9%)

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	79
1	284	73
2	3557	73

Stop Event

1×	node limit

Counts

3 → 303

Calls

Call 1

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

Outputs

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

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

simplify282.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1550×	`associate-/r*`
1350×	`associate-r`
1084×	`associate-l`
1074×	`associate-/l/`
790×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	852	23449
1	2398	21529

Stop Event

1×	node limit

Counts

423 → 552

Calls

Call 1

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

localize7.0ms (0%)

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

localize46.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.0b	(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
✓	4.8b	(/.f64 b (/.f64 (*.f64 c c) d))
✓	6.8b	(/.f64 (*.f64 c c) d)

Compiler

Compiled 37 to 9 computations (75.7% saved)

series16.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	d	@	0	(/.f64 (*.f64 c c) d)
1.0ms	b	@	0	(/.f64 b (/.f64 (*.f64 c c) d))
1.0ms	d	@	0	(/.f64 b (/.f64 (*.f64 c c) d))
1.0ms	a	@	0	(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
1.0ms	c	@	inf	(/.f64 (*.f64 c c) d)

rewrite223.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`associate-/r/`
622×	`associate-/l/`
610×	`distribute-rgt-in`
576×	`distribute-lft-in`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	254	59
2	4145	59

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

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simplify182.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate-r`
994×	`associate-*r/`
960×	`associate-l`
938×	`associate-*l/`
938×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	635	12845
1	1992	12389

Stop Event

1×	node limit

Counts

345 → 367

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	13.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (0.4%)

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)))))))))

simplify97.0ms (0.4%)

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))))
(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 (*.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)))))
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(*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) 2)))
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(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))

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d d (*.f64 c c))
✓	5.1b	(/.f64 (fma.f64 d d (*.f64 c c)) b)
✓	10.4b	(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series11.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
1.0ms	b	@	0	(/.f64 (fma.f64 d d (*.f64 c c)) b)
0.0ms	b	@	inf	(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
0.0ms	d	@	0	(/.f64 (fma.f64 d d (*.f64 c c)) b)
0.0ms	d	@	inf	(/.f64 (fma.f64 d d (*.f64 c c)) b)

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`associate-/l*`
1406×	`associate-*r/`
1062×	`*-commutative`
958×	`associate-*l/`
486×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	210	57
2	2864	57

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Outputs

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

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

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1590×	`distribute-rgt-in`
1580×	`distribute-lft-in`
694×	`times-frac`
642×	`associate-r`
616×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	7966
1	1124	7620
2	5271	7416

Stop Event

1×	node limit

Counts

264 → 256

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

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

eval406.0ms (1.8%)

Compiler: Compiled 32831 to 11167 computations (66% saved)

prune430.0ms (1.9%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1424	20	1444
Fresh	5	5	10
Picked	1	0	1
Done	3	1	4
Total	1433	26	1459

Error

Counts

1459 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	37.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (+.f64 c d)) (-.f64 c d)))
	21.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
	35.9b	(/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3))
▶	52.9b	(/.f64 (.f64 d b) (.f64 c c))
	37.9b	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
	36.4b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	44.2b	(/.f64 d (/.f64 (*.f64 d d) b))
	51.8b	(/.f64 d (/.f64 c (/.f64 b c)))
	36.4b	(/.f64 d (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 d d) b)))
	41.9b	(/.f64 d (*.f64 d (/.f64 d b)))
	39.8b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
▶	36.9b	(/.f64 b d)
✓	36.2b	(/.f64 a c)
	35.1b	(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
	33.5b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
	30.6b	(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
▶	30.2b	(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
	25.5b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	26.1b	(*.f64 (/.f64 d (/.f64 (hypot.f64 d c) b)) (/.f64 1 (hypot.f64 d c)))
	49.8b	(*.f64 (/.f64 b c) (/.f64 d c))
▶	8.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
	43.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
	43.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
▶	45.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1))
	44.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
	50.3b	(*.f64 b (/.f64 (/.f64 d c) c))

Compiler

Compiled 785 to 493 computations (37.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (hypot.f64 c d) d)
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
✓	1.0b	(/.f64 b (/.f64 (hypot.f64 c d) d))
✓	10.0b	(/.f64 (*.f64 c a) (hypot.f64 c d))

Compiler

Compiled 75 to 16 computations (78.7% saved)

series24.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
3.0ms	b	@	0	(/.f64 b (/.f64 (hypot.f64 c d) d))
1.0ms	a	@	0	(/.f64 (*.f64 c a) (hypot.f64 c d))
1.0ms	b	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
1.0ms	a	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))

rewrite130.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`associate-/r/`
1356×	`associate-/l/`
352×	`add-sqr-sqrt`
348×	`*-un-lft-identity`
346×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	106
1	338	102
2	5334	102

Stop Event

1×	node limit

Counts

4 → 269

Calls

Call 1

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

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

simplify185.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-*r/`
1466×	`associate-/r*`
1464×	`associate-/l*`
1256×	`associate-*l/`
772×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1121	22455
1	3525	22029

Stop Event

1×	node limit

Counts

413 → 590

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.9b	(/.f64 (.f64 d b) (.f64 c c))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1968×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1826×	`add-cube-cbrt`
1796×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	170	19
2	2510	19

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1808×	`distribute-lft-in`
1114×	`associate-+l-`
1048×	`associate-+r-`
1026×	`associate-/l*`
536×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1657
1	319	1633
2	1137	1627
3	4684	1627

Stop Event

1×	node limit

Counts

79 → 56

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (/.f64 1 c) (.f64 b (/.f64 d c)))
✓	3.0b	(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
✓	3.9b	(*.f64 b (/.f64 d c))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series5.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`associate-/r/`
594×	`distribute-rgt-in`
580×	`associate-/l/`
574×	`distribute-lft-neg-in`
558×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	279	59
2	3981	59

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 b c) c) d))) (-.f64 1 (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a c))) (-.f64 1 (*.f64 (/.f64 (/.f64 b c) c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 (/.f64 a c) 2) (-.f64 a (*.f64 b (/.f64 d c)))) c) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b c) c) d) 2) (-.f64 a (*.f64 b (/.f64 d c)))) c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 a c) (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 b c) c) d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 (/.f64 b c) c) d) (exp.f64 (log1p.f64 (/.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) 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simplify172.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1036×	`distribute-lft-neg-in`
658×	`associate-r`
582×	`associate-l`
524×	`+-commutative`
492×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	8103
1	1134	7449
2	5608	7437

Stop Event

1×	node limit

Counts

259 → 210

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	4.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1))
✓	5.2b	(*.f64 (/.f64 c d) a)

Compiler

Compiled 57 to 19 computations (66.7% saved)

series18.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite187.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`associate-/r*`
1228×	`associate-/l*`
898×	`distribute-lft-in`
328×	`associate-/r/`
316×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	315	40
2	4215	40

Stop Event

1×	node limit

Counts

2 → 235

Calls

Call 1

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

Outputs

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

simplify356.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-/l*`
840×	`associate-/l/`
734×	`associate-/r*`
680×	`*-commutative`
606×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	663	13707
1	1866	12545
2	7357	12545

Stop Event

1×	node limit

Counts

319 → 394

Calls

Call 1

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

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

eval936.0ms (4%)

Compiler: Compiled 37930 to 13586 computations (64.2% saved)

prune1.0s (4.4%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1311	12	1323
Fresh	5	15	20
Picked	1	0	1
Done	2	3	5
Total	1319	30	1349

Error

Counts

1349 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
	35.9b	(/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3))
✓	52.9b	(/.f64 (.f64 d b) (.f64 c c))
▶	37.9b	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
	57.1b	(/.f64 (neg.f64 b) d)
	58.8b	(/.f64 (neg.f64 a) d)
	36.4b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	44.2b	(/.f64 d (/.f64 (*.f64 d d) b))
	36.4b	(/.f64 d (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 d d) b)))
▶	41.9b	(/.f64 d (*.f64 d (/.f64 d b)))
	39.8b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
✓	36.9b	(/.f64 b d)
▶	58.8b	(/.f64 a d)
✓	36.2b	(/.f64 a c)
	34.4b	(+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))
▶	35.1b	(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
	33.5b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
	30.6b	(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
	30.9b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
	43.7b	(+.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (/.f64 c d) a)) (*.f64 (/.f64 1 (hypot.f64 c d)) b))
	25.5b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	26.1b	(*.f64 (/.f64 d (/.f64 (hypot.f64 d c) b)) (/.f64 1 (hypot.f64 d c)))
	49.8b	(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
	49.8b	(*.f64 (/.f64 d c) (/.f64 b c))
	24.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	43.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
	44.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
	32.7b	(.f64 (/.f64 -1 d) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1))
	52.0b	(*.f64 d (/.f64 (/.f64 b c) c))
	50.3b	(*.f64 b (/.f64 (/.f64 d c) c))

Compiler

Compiled 807 to 513 computations (36.4% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
✓	0.3b	(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
	0.7b	(+.f64 (.f64 a c) (.f64 b d))
✓	20.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))

Compiler

Compiled 64 to 29 computations (54.7% saved)

series15.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
1.0ms	c	@	0	(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
1.0ms	d	@	0	(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
1.0ms	d	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	c	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))

rewrite165.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`associate-/r*`
1038×	`associate-/l*`
700×	`associate-/r/`
684×	`distribute-lft-in`
518×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	353	59
2	4251	59

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 1 (pow.f64 (hypot.f64 c d) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 c d) -2) (*.f64 a c)) (*.f64 (pow.f64 (hypot.f64 c d) -2) (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 c d) -2) (*.f64 b d)) (*.f64 (pow.f64 (hypot.f64 c d) -2) (*.f64 a c)))))) (#(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)) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) -2))))))) (#(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 (pow.f64 (hypot.f64 c d) -2) (fma.f64 a c (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 (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))) (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 -1 (*.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 c d) -2)) (neg.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (neg.f64 (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -4))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (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)) -1) (neg.f64 (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) -2))) -1)))) (#(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 (hypot.f64 c d) 2)) (sqrt.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (cbrt.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) -1) 1) (neg.f64 (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) -1) -1) (pow.f64 (hypot.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) 1) (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) (pow.f64 (hypot.f64 c d) 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simplify258.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-+r+`
1070×	`+-commutative`
962×	`associate-r`
932×	`associate-l`
556×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	476	9654
1	1447	8692
2	7196	8692

Stop Event

1×	node limit

Counts

228 → 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)))))
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(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (pow.f64 (hypot.f64 c d) -2)) (-.f64 (.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (.f64 (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))) (-.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) 3) (pow.f64 (.f64 b d) 3)) (pow.f64 (hypot.f64 c d) -2)) (+.f64 (pow.f64 (pow.f64 (.f64 a c) 2) 3) (pow.f64 (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (.f64 (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))) (.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c))))))
(.f64 (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) -2))))
(.f64 (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) -1) (cbrt.f64 (neg.f64 (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 (.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2) (pow.f64 (hypot.f64 c d) -4)))
(log.f64 (pow.f64 (exp.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))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) -2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (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 (.f64 d d) (.f64 c c))
(+.f64 (.f64 c c) (.f64 d d))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(*.f64 1 (pow.f64 (hypot.f64 c d) 2))
(*.f64 1 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (hypot.f64 c d) (hypot.f64 c d))
(*.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(.f64 (sqrt.f64 (hypot.f64 c d)) (.f64 (sqrt.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (.f64 (cbrt.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 -1 (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) -1)
(.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(.f64 (.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) -4))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) -1) (pow.f64 (/.f64 1 (hypot.f64 c d)) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -4)) -1) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) -1))
(*.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) -1) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) -4))) 1) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) -4))) -1) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (pow.f64 (hypot.f64 c d) -2) -1)
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (pow.f64 (cbrt.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 (hypot.f64 c d) 4))
(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 (*.f64 2 (log.f64 (hypot.f64 c d))))
(exp.f64 (.f64 (.f64 -2 (log.f64 (hypot.f64 c d))) -1))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(fma.f64 c c (*.f64 d d))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) -2))) 1)
(*.f64 1 (pow.f64 (hypot.f64 c d) -2))
(*.f64 1 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (pow.f64 (hypot.f64 c d) -2) 1)
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -4)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 -1 (neg.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) -2)) -1)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) -2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -4)) 1) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) 1) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) -4)))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(.f64 (/.f64 1 (-.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d)))) (-.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 c c) 3) (pow.f64 (.f64 d d) 3))) (+.f64 (.f64 (.f64 c c) (.f64 c c)) (-.f64 (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 d d)))))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -4)) -1) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) -1) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) -2))))
(pow.f64 (hypot.f64 c d) -2)
(pow.f64 (pow.f64 (hypot.f64 c d) -2) 1)
(pow.f64 (pow.f64 (hypot.f64 c d) 2) -1)
(pow.f64 (/.f64 1 (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 (hypot.f64 c d) -4))
(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 (*.f64 -2 (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) -2))
(exp.f64 (.f64 (.f64 -2 (log.f64 (hypot.f64 c d))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 c d))) -1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) -2)))

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

localize7.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 d (/.f64 d b))
✓	14.5b	(/.f64 d (*.f64 d (/.f64 d b)))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`add-sqr-sqrt`
1686×	`*-un-lft-identity`
1574×	`add-cube-cbrt`
1546×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	152	20
2	2242	20

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

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 (/.f64 b d) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 d))))) (#(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 d) (*.f64 (sqrt.f64 d) (/.f64 (/.f64 b d) d)))))) (#(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 (cbrt.f64 (*.f64 d d)) (*.f64 (cbrt.f64 d) (/.f64 (/.f64 b d) d)))))) (#(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 (/.f64 b d) d) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 d) (/.f64 1 (*.f64 d (neg.f64 (/.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (/.f64 d (/.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 d (sqrt.f64 b))) (/.f64 d (/.f64 d (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 d b))) 2)) (/.f64 d (cbrt.f64 (*.f64 d (/.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (*.f64 d d)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 d)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (*.f64 d (/.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 d d)) 1) (/.f64 (cbrt.f64 d) (*.f64 d (/.f64 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 (cbrt.f64 (*.f64 d d))) (/.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) (cbrt.f64 (*.f64 d d))) (/.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) (cbrt.f64 (*.f64 d d))) (/.f64 (cbrt.f64 b) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) d) (/.f64 (sqrt.f64 d) (/.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (/.f64 d b)) (/.f64 (sqrt.f64 d) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (*.f64 d (/.f64 d b))) 2)) (/.f64 (sqrt.f64 d) (cbrt.f64 (*.f64 d (/.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 d d)) d) (/.f64 (cbrt.f64 d) (/.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 d d)) (/.f64 d b)) (/.f64 (cbrt.f64 d) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 d d)) (/.f64 d (sqrt.f64 b))) (/.f64 (cbrt.f64 d) (/.f64 d (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 d d)) (pow.f64 (cbrt.f64 (*.f64 d (/.f64 d b))) 2)) (cbrt.f64 (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d b) -1)))) (#(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 neg.f64 (/.f64 d (*.f64 d (neg.f64 (/.f64 d b)))))))) (#(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)))))))

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

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1678×	`associate-/l*`
1058×	`unswap-sqr`
1022×	`associate-/r/`
716×	`*-commutative`
638×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	176	1402
1	444	1384
2	1910	1384

Stop Event

1×	node limit

Counts

120 → 80

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

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

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.6b	(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
✓	5.6b	(/.f64 c (*.f64 d d))
✓	6.7b	(.f64 (/.f64 c (.f64 d d)) a)

Compiler

Compiled 37 to 9 computations (75.7% saved)

series8.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`associate-/l*`
544×	`distribute-lft-neg-in`
542×	`distribute-rgt-in`
508×	`distribute-lft-in`
504×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	243	59
2	3650	59

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

706×	`distribute-lft-neg-in`
652×	`distribute-rgt-neg-in`
564×	`associate-r`
500×	`distribute-rgt-neg-out`
494×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	8408
1	1108	7940
2	5065	7930

Stop Event

1×	node limit

Counts

252 → 220

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 c c (*.f64 d d))
✓	15.0b	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`associate-/r*`
1120×	`associate-/l*`
990×	`*-commutative`
876×	`associate-*r/`
628×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	204	25
2	2682	25

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-/r*`
788×	`*-commutative`
614×	`associate-/r/`
588×	`associate-/l/`
584×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	4190
1	622	4006
2	2428	3890
3	7839	3890

Stop Event

1×	node limit

Counts

106 → 116

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

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

eval619.0ms (2.7%)

Compiler: Compiled 19809 to 8586 computations (56.7% saved)

prune585.0ms (2.5%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	843	8	851
Fresh	6	16	22
Picked	0	1	1
Done	2	5	7
Total	851	30	881

Error

Counts

881 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	51.0b	(/.f64 (+.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 c a))) (.f64 (/.f64 d b) (*.f64 d d)))
	35.9b	(/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3))
✓	52.9b	(/.f64 (.f64 d b) (.f64 c c))
✓	37.9b	(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
	45.7b	(/.f64 (.f64 c a) (.f64 c c))
	57.1b	(/.f64 (neg.f64 b) d)
	58.8b	(/.f64 (neg.f64 a) d)
	36.4b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	36.4b	(/.f64 d (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 d d) b)))
✓	41.9b	(/.f64 d (*.f64 d (/.f64 d b)))
	39.8b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
✓	36.9b	(/.f64 b d)
✓	58.8b	(/.f64 a d)
✓	36.2b	(/.f64 a c)
	32.7b	(+.f64 (/.f64 b d) (/.f64 (/.f64 a (/.f64 d c)) d))
	30.6b	(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
	30.9b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
	25.5b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	26.1b	(*.f64 (/.f64 d (/.f64 (hypot.f64 d c) b)) (/.f64 1 (hypot.f64 d c)))
	42.7b	(.f64 (/.f64 d (.f64 d d)) b)
	49.8b	(*.f64 (/.f64 d c) (/.f64 b c))
	52.6b	(*.f64 (/.f64 a d) (/.f64 c d))
	24.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	43.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
	44.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
	32.7b	(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))
	37.0b	(*.f64 (/.f64 1 d) b)
	52.0b	(*.f64 d (/.f64 (/.f64 b c) c))
	50.3b	(*.f64 b (/.f64 (/.f64 d c) c))
	54.4b	(.f64 a (/.f64 c (.f64 d d)))

Compiler

Compiled 392 to 246 computations (37.2% saved)

regimes590.0ms (2.6%)

Counts

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

Outputs

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

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

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

Calls

5 calls:

170.0ms	c
157.0ms	d
114.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
74.0ms	a
53.0ms	b

Results

Error	Segments	Branch
8.0b	1	`a`
8.0b	1	`b`
3.6b	3	`c`
5.7b	3	`d`
5.9b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 657 to 221 computations (66.4% saved)

bsearch54.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	170130374373400450.0	3.188858034409527e+23
22.0ms	-2.357664928757649e+87	-4.619682459321843e+86

Results

48.0ms

240×

body

256

valid

Compiler

Compiled 692 to 395 computations (42.9% saved)

regimes964.0ms (4.2%)

Counts

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

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

Calls

5 calls:

292.0ms	d
194.0ms	a
168.0ms	c
131.0ms	b
118.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
12.1b	4	`a`
9.4b	3	`b`
8.6b	3	`c`
6.6b	5	`d`
6.7b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 608 to 204 computations (66.4% saved)

bsearch97.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	9.643409048216516e+126	8.025874583309305e+136
26.0ms	4.051963862447661e-116	1.0597183023065127e-110
15.0ms	-1.0327516300809636e-156	-7.339737356555714e-157
23.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

83.0ms	480×	body	256	valid
2.0ms	16×	body	256	infinite

Compiler

Compiled 1156 to 690 computations (40.3% saved)

regimes1.7s (7.4%)

Counts

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

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

Calls

5 calls:

746.0ms	a
323.0ms	b
259.0ms	d
212.0ms	c
162.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
12.7b	7	`a`
12.9b	5	`b`
8.6b	4	`c`
7.7b	5	`d`
8.2b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 592 to 200 computations (66.2% saved)

bsearch129.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	9.643409048216516e+126	8.025874583309305e+136
64.0ms	2.2495051456307587e-121	2.5115342669881505e-120
16.0ms	-1.0327516300809636e-156	-7.339737356555714e-157
24.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

117.0ms	432×	body	256	valid
3.0ms	16×	body	256	infinite

Compiler

Compiled 996 to 602 computations (39.6% saved)

regimes1.6s (6.9%)

Counts

48 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a (/.f64 d c)) d))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) 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 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 -1 d) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
(/.f64 d (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 d d) b)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 c a))) (.f64 (/.f64 d b) (*.f64 d d)))
(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1))
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(*.f64 (/.f64 d (/.f64 (hypot.f64 d c) b)) (/.f64 1 (hypot.f64 d c)))

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

Calls

5 calls:

561.0ms	b
399.0ms	a
269.0ms	d
203.0ms	c
148.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
12.9b	10	`a`
12.6b	11	`b`
9.1b	5	`c`
7.7b	5	`d`
9.7b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 505 to 168 computations (66.7% saved)

bsearch94.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
35.0ms	9.643409048216516e+126	8.025874583309305e+136
22.0ms	2.2495051456307587e-121	2.5115342669881505e-120
13.0ms	-1.0327516300809636e-156	-7.339737356555714e-157
23.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

82.0ms	432×	body	256	valid
2.0ms	9×	body	256	infinite

Compiler

Compiled 1018 to 624 computations (38.7% saved)

regimes737.0ms (3.2%)

Counts

46 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a (/.f64 d c)) d))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) 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 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 -1 d) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
(/.f64 d (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 d d) b)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 c a))) (.f64 (/.f64 d b) (*.f64 d d)))
(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1))

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

Calls

5 calls:

199.0ms	a
170.0ms	c
167.0ms	d
111.0ms	b
74.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
17.0b	5	`a`
17.6b	3	`b`
9.1b	5	`c`
7.9b	5	`d`
12.1b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 481 to 159 computations (66.9% saved)

bsearch83.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	9.643409048216516e+126	8.025874583309305e+136
19.0ms	2.2495051456307587e-121	2.5115342669881505e-120
14.0ms	-1.0327516300809636e-156	-7.339737356555714e-157
22.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

72.0ms	432×	body	256	valid
2.0ms	13×	body	256	infinite

Compiler

Compiled 1046 to 659 computations (37% saved)

regimes636.0ms (2.8%)

Counts

45 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a (/.f64 d c)) d))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) 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 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 -1 d) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
(/.f64 d (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 d d) b)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 c a))) (.f64 (/.f64 d b) (*.f64 d d)))
(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))

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

Calls

5 calls:

167.0ms	a
158.0ms	d
156.0ms	c
89.0ms	b
57.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
17.0b	5	`a`
17.6b	3	`b`
9.1b	5	`c`
7.9b	5	`d`
12.1b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 466 to 154 computations (67% saved)

bsearch79.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	9.643409048216516e+126	8.025874583309305e+136
20.0ms	2.2495051456307587e-121	2.5115342669881505e-120
12.0ms	-1.0327516300809636e-156	-7.339737356555714e-157
15.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

68.0ms	432×	body	256	valid
2.0ms	14×	body	256	infinite

Compiler

Compiled 1018 to 631 computations (38% saved)

regimes668.0ms (2.9%)

Counts

43 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a (/.f64 d c)) d))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) 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 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 -1 d) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
(/.f64 d (+.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 d d) b)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 c a))) (.f64 (/.f64 d b) (*.f64 d d)))
(.f64 (/.f64 b (fma.f64 c c (.f64 d d))) d)
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))

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

Calls

5 calls:

186.0ms	a
158.0ms	d
151.0ms	c
95.0ms	b
65.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
17.0b	5	`a`
17.6b	3	`b`
9.1b	5	`c`
8.4b	5	`d`
12.1b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 438 to 143 computations (67.4% saved)

bsearch90.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	9.643409048216516e+126	8.025874583309305e+136
21.0ms	2.2495051456307587e-121	2.5115342669881505e-120
15.0ms	-1.0327516300809636e-156	-7.339737356555714e-157
23.0ms	-8.481345331993739e+98	-1.7863013230049175e+97

Results

75.0ms	432×	body	256	valid
4.0ms	21×	body	256	infinite

Compiler

Compiled 998 to 611 computations (38.8% saved)

regimes705.0ms (3%)

Counts

36 → 8

Calls

Call 1

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

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

Calls

4 calls:

278.0ms	a
202.0ms	c
131.0ms	b
82.0ms	d

Results

Error	Segments	Branch
18.1b	11	`a`
20.1b	5	`b`
12.3b	8	`c`
13.8b	3	`d`

Compiler

Compiled 332 to 110 computations (66.9% saved)

bsearch162.0ms (0.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
31.0ms	1.2880843202283095e+104	1.1691538568105227e+117
14.0ms	1.5647745904325143e+94	1.4091286547633532e+95
22.0ms	1.9012836015124614e+61	2.102935745253861e+63
28.0ms	170130374373400450.0	3.188858034409527e+23
32.0ms	2.8014606662981602e-11	0.008474883765131854
10.0ms	3.471241771963143e-28	9.387072108935579e-28
24.0ms	-1.0375915530510207e-45	-1.5694548266423927e-49

Results

145.0ms	864×	body	256	valid
1.0ms	3×	body	256	infinite

Compiler

Compiled 1610 to 1038 computations (35.5% saved)

regimes624.0ms (2.7%)

Counts

30 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a (/.f64 d c)) d))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))

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

Calls

4 calls:

236.0ms	a
182.0ms	b
130.0ms	c
66.0ms	d

Results

Error	Segments	Branch
19.0b	15	`a`
18.4b	9	`b`
13.4b	5	`c`
13.9b	3	`d`

Compiler

Compiled 260 to 90 computations (65.4% saved)

bsearch62.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	170130374373400450.0	3.188858034409527e+23
17.0ms	2.8014606662981602e-11	0.008474883765131854
10.0ms	3.471241771963143e-28	9.387072108935579e-28
17.0ms	-1.0375915530510207e-45	-1.5694548266423927e-49

Results

55.0ms	496×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 874 to 578 computations (33.9% saved)

regimes386.0ms (1.7%)

Counts

29 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d))))
(+.f64 (/.f64 b d) (/.f64 (/.f64 a (/.f64 d c)) d))

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

Calls

4 calls:

188.0ms	a
78.0ms	b
76.0ms	c
38.0ms	d

Results

Error	Segments	Branch
19.0b	15	`a`
20.4b	6	`b`
13.5b	5	`c`
13.9b	3	`d`

Compiler

Compiled 249 to 87 computations (65.1% saved)

bsearch63.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	170130374373400450.0	3.188858034409527e+23
18.0ms	2.8014606662981602e-11	0.008474883765131854
12.0ms	1.9798467007655293e-48	1.8875513755696313e-47
16.0ms	-1.0375915530510207e-45	-1.5694548266423927e-49

Results

56.0ms	512×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 906 to 599 computations (33.9% saved)

regimes324.0ms (1.4%)

Counts

24 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))

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

Calls

4 calls:

157.0ms	a
64.0ms	c
64.0ms	b
34.0ms	d

Results

Error	Segments	Branch
19.0b	15	`a`
20.7b	6	`b`
13.5b	5	`c`
14.1b	3	`d`

Compiler

Compiled 194 to 76 computations (60.8% saved)

bsearch65.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	170130374373400450.0	3.188858034409527e+23
18.0ms	2.8014606662981602e-11	0.008474883765131854
12.0ms	1.9798467007655293e-48	1.8875513755696313e-47
16.0ms	-1.0375915530510207e-45	-1.5694548266423927e-49

Results

57.0ms	512×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 906 to 599 computations (33.9% saved)

regimes274.0ms (1.2%)

Counts

21 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))

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

Calls

4 calls:

143.0ms	a
58.0ms	b
38.0ms	c
31.0ms	d

Results

Error	Segments	Branch
19.0b	15	`a`
20.7b	6	`b`
14.6b	3	`c`
14.8b	3	`d`

Compiler

Compiled 161 to 68 computations (57.8% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	170130374373400450.0	3.188858034409527e+23
16.0ms	-1.0375915530510207e-45	-1.5694548266423927e-49

Results

31.0ms	272×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 570 to 374 computations (34.4% saved)

regimes300.0ms (1.3%)

Counts

20 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))
(.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b))

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

Calls

4 calls:

132.0ms	a
85.0ms	b
49.0ms	c
30.0ms	d

Results

Error	Segments	Branch
22.9b	15	`a`
22.1b	9	`b`
17.1b	5	`c`
18.1b	3	`d`

Compiler

Compiled 150 to 67 computations (55.3% saved)

bsearch72.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	1.4091286547633532e+95	9.571163360606948e+99
12.0ms	2.5963692141523253e+60	1.9012836015124614e+61
22.0ms	3.188858034409527e+23	2.9377985678488462e+32
16.0ms	-1.0375915530510207e-45	-1.5694548266423927e-49

Results

65.0ms	512×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 794 to 561 computations (29.3% saved)

regimes253.0ms (1.1%)

Counts

19 → 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 (/.f64 1 d) b)
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 b (/.f64 (/.f64 d c) c))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 (/.f64 d (.f64 d d)) b)
(/.f64 d (*.f64 d (/.f64 d b)))
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 d (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c a) (.f64 c c))
(/.f64 (.f64 d b) (.f64 c c))
(*.f64 (/.f64 d (/.f64 c b)) (/.f64 1 c))

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

Calls

4 calls:

99.0ms	a
83.0ms	b
37.0ms	c
30.0ms	d

Results

Error	Segments	Branch
26.8b	11	`a`
24.0b	9	`b`
21.3b	3	`c`
21.7b	3	`d`

Compiler

Compiled 139 to 62 computations (55.4% saved)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	3.188858034409527e+23	2.9377985678488462e+32
20.0ms	-1.0375915530510207e-45	-1.5694548266423927e-49

Results

34.0ms	272×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 298 to 221 computations (25.8% saved)

regimes16.0ms (0.1%)

Accuracy

Total -24.2b remaining (-66.8%)

Threshold costs -24.2b (-66.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 a c)

Calls

4 calls:

5.0ms	c
3.0ms	d
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
36.2b	1	`a`
36.2b	1	`b`
36.2b	1	`c`
36.2b	1	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative`
40×	`+-commutative`
16×	`neg-sub0`
14×	`neg-mul-1`
12×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	227	2521
1	268	2495
2	272	2495
3	287	2491
4	309	2487
5	330	2487
6	342	2487
7	348	2487
8	349	2487

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -2300000000000000171685525966363483719926216117629215685362984253898262741028125372579840) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 c 210000000000000012582912) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d)))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))))
(if (<=.f64 d -249999999999999991834042201029172818462383296451638868229490444867823961480431965652184967113867264) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d -90575098195717/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 d 3637742638686509/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -719999999999999961912024847271049685275699592604328140682881188328286599675050988036510566248873984) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d -5874097034986233/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d 5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 900000000000000039029018097798523962052796085156572986881370128424438238036991757675804766384540147029761533720145753420444104392704) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -210000000000000004068107967634231191430375194901670499176310443357256934685007655929171976654946304) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d -7110749042351755/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 4128443953999047/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 5400000000000000175071099292199424953898216360724017213668611864848459426299510439686245941061424965057169819993501059312722640896) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -70000000000000001356035989211410397143458398300556833058770147785752311561669218643057325551648768) (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (+.f64 b (.f64 (/.f64 c d) a)) -1)) (if (<=.f64 d -7883656546955207/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 2616619407464185/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 285000000000000018978726105297138428979597497123708565099163404772600482260360681843952766966635762610354549832045316238654135429234688) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -320000000000000023544279631267599948722433988869678617575867452843256292601670086465621748996898816) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 d -7883656546955207/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 8722064691547283/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -420000000000000008136215935268462382860750389803340998352620886714513869370015311858343953309892608) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 d -6569713789129339/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 105391615022863/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 560000000000000013777520719591664897558440204059126177149366496673309125547916630310530493351124372885825064123224297913175534206976) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d)))))))
(if (<=.f64 c -7456192525361715/12855504354071922204335696738729300820177623950262342682411008) (+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b))) (if (<=.f64 c 8920298079412249/11150372599265311570767859136324180752990208) (.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b)) (if (<=.f64 c 3423715700080493/590295810358705651712) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)) (if (<=.f64 c 255000000000000000) (/.f64 b d) (if (<=.f64 c 1900000000000000055123812491272383239409238282571963595430559744) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648) (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (if (<=.f64 c 155000000000000008254101420845459928599589015075238203335982957520467274299041887464543554692301958676480) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)) (+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b))))))))))
(if (<=.f64 c -4820814132776971/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b))) (if (<=.f64 c 2508833834834695/2787593149816327892691964784081045188247552) (.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b)) (if (<=.f64 c 5440166188265831/75557863725914323419136) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)) (if (<=.f64 c 13000000000000000000) (/.f64 b d) (+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))))))
(if (<=.f64 c -6427752177035961/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b))) (if (<=.f64 c 3805229288805289/205688069665150755269371147819668813122841983204197482918576128) (.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b)) (if (<=.f64 c 8070450532247929/2305843009213693952) (+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c))) (if (<=.f64 c 195000000000000000) (/.f64 b d) (+.f64 (/.f64 a c) (/.f64 (/.f64 d c) (/.f64 c b)))))))
(if (<=.f64 c -7456192525361715/12855504354071922204335696738729300820177623950262342682411008) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 5594715494892101/1645504557321206042154969182557350504982735865633579863348609024) (.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b)) (if (<=.f64 c 4110347786689739/2417851639229258349412352) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 c 23500000000000001048576) (/.f64 b d) (+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))))))
(if (<=.f64 c -2828210957895823/3213876088517980551083924184682325205044405987565585670602752) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 380000000000000000) (.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b)) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c)))))
(if (<=.f64 c -819538402572085/803469022129495137770981046170581301261101496891396417650688) (/.f64 a c) (if (<=.f64 c 899999999999999956983218176) (.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b)) (if (<=.f64 c 18999999999999999751979416997386299001452239934002359579967488) (/.f64 a c) (if (<=.f64 c 779999999999999941663788607299273580003924726546938011994675761832282138645714396235381335916544) (.f64 (/.f64 1 d) (+.f64 (.f64 a (/.f64 c d)) b)) (/.f64 a c)))))
(if (<=.f64 c -4820814132776971/6427752177035961102167848369364650410088811975131171341205504) (/.f64 a c) (if (<=.f64 c 1060000000000000025165824) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Outputs
(if (<=.f64 c -2300000000000000171685525966363483719926216117629215685362984253898262741028125372579840) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 c 210000000000000012582912) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d)))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))))
(if (<=.f64 c -2300000000000000171685525966363483719926216117629215685362984253898262741028125372579840) (+.f64 (/.f64 a c) (/.f64 b (.f64 c (/.f64 c d)))) (if (<=.f64 c 210000000000000012582912) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d)))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 (hypot.f64 c d) d))))))
(if (<=.f64 d -249999999999999991834042201029172818462383296451638868229490444867823961480431965652184967113867264) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d -90575098195717/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 d 3637742638686509/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -249999999999999991834042201029172818462383296451638868229490444867823961480431965652184967113867264) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d -90575098195717/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 d 3637742638686509/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (+.f64 (/.f64 a c) (/.f64 b (.f64 c (/.f64 c d)))) (if (<=.f64 d 10999999999999999672563705796705786729948216773981554652616513686518042327618908923798572087742996258433593819345864875336773140480) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -719999999999999961912024847271049685275699592604328140682881188328286599675050988036510566248873984) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d -5874097034986233/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d 5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 900000000000000039029018097798523962052796085156572986881370128424438238036991757675804766384540147029761533720145753420444104392704) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -719999999999999961912024847271049685275699592604328140682881188328286599675050988036510566248873984) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d -5874097034986233/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 d 5814709794364855/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (+.f64 (/.f64 a c) (/.f64 b (.f64 c (/.f64 c d)))) (if (<=.f64 d 900000000000000039029018097798523962052796085156572986881370128424438238036991757675804766384540147029761533720145753420444104392704) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -210000000000000004068107967634231191430375194901670499176310443357256934685007655929171976654946304) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d -7110749042351755/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 4128443953999047/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 5400000000000000175071099292199424953898216360724017213668611864848459426299510439686245941061424965057169819993501059312722640896) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -210000000000000004068107967634231191430375194901670499176310443357256934685007655929171976654946304) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d -7110749042351755/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 d 4128443953999047/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (+.f64 (/.f64 a c) (/.f64 b (.f64 c (/.f64 c d)))) (if (<=.f64 d 5400000000000000175071099292199424953898216360724017213668611864848459426299510439686245941061424965057169819993501059312722640896) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -70000000000000001356035989211410397143458398300556833058770147785752311561669218643057325551648768) (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (+.f64 b (.f64 (/.f64 c d) a)) -1)) (if (<=.f64 d -7883656546955207/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 2616619407464185/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 285000000000000018978726105297138428979597497123708565099163404772600482260360681843952766966635762610354549832045316238654135429234688) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -70000000000000001356035989211410397143458398300556833058770147785752311561669218643057325551648768) (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (+.f64 b (.f64 a (/.f64 c d))) -1)) (if (<=.f64 d -7883656546955207/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 d 2616619407464185/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (+.f64 (/.f64 a c) (/.f64 b (.f64 c (/.f64 c d)))) (if (<=.f64 d 285000000000000018978726105297138428979597497123708565099163404772600482260360681843952766966635762610354549832045316238654135429234688) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -70000000000000001356035989211410397143458398300556833058770147785752311561669218643057325551648768) (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 b (.f64 a (/.f64 c d))))) (if (<=.f64 d -7883656546955207/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 d 2616619407464185/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (+.f64 (/.f64 a c) (/.f64 b (.f64 c (/.f64 c d)))) (if (<=.f64 d 285000000000000018978726105297138428979597497123708565099163404772600482260360681843952766966635762610354549832045316238654135429234688) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -70000000000000001356035989211410397143458398300556833058770147785752311561669218643057325551648768) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 a (neg.f64 (/.f64 c d))) b)) (if (<=.f64 d -7883656546955207/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 d 2616619407464185/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (+.f64 (/.f64 a c) (/.f64 b (.f64 c (/.f64 c d)))) (if (<=.f64 d 285000000000000018978726105297138428979597497123708565099163404772600482260360681843952766966635762610354549832045316238654135429234688) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -70000000000000001356035989211410397143458398300556833058770147785752311561669218643057325551648768) (.f64 (+.f64 b (.f64 a (/.f64 c d))) (/.f64 -1 (hypot.f64 c d))) (if (<=.f64 d -7883656546955207/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 d 2616619407464185/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (+.f64 (/.f64 a c) (/.f64 b (.f64 c (/.f64 c d)))) (if (<=.f64 d 285000000000000018978726105297138428979597497123708565099163404772600482260360681843952766966635762610354549832045316238654135429234688) (/.f64 (+.f64 (.f64 b d) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -320000000000000023544279631267599948722433988869678617575867452843256292601670086465621748996898816) (+.f64 (/.f64 b d) (/.f64 c (/.f64 d (/.f64 a d)))) (if (<=.f64 d -7883656546955207/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 8722064691547283/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (+.f64 (/.f64 a c) (/.f64 b (.f64 (/.f64 c d) c))) (if (<=.f64 d 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
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(/.f64 a c)

Compiler

Compiled 983 to 470 computations (52.2% saved)

soundness287.0ms (1.2%)

Algorithm

4×	egg-herbie

Rules

1602×	`times-frac`
1550×	`associate-/r*`
1550×	`associate-/r*`
1350×	`associate-r`
1350×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	20	35
2	24	35
0	409	8406
1	1135	8208
2	6766	8208
0	852	23449
1	2398	21529
0	852	23449
1	2398	21529

Stop Event

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

Compiler

Compiled 270 to 94 computations (65.2% saved)

end250.0ms (1.1%)

Compiler: Compiled 927 to 262 computations (71.7% saved)