Details

analyze379.0ms (3.3%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.0s (9.1%)

Results

958.0ms	8256×	body	256	valid
58.0ms	449×	body	256	infinite

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

23.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.2b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	1.1b	(+.f64 (.f64 a c) (.f64 b d))
✓	22.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series9.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

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

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simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

287 → 268

Calls

Call 1

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

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

eval73.0ms (0.6%)

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

prune53.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	255	13	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	13	269

Error

0.2b

Counts

269 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	23.7b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 3) (+.f64 (.f64 c c) (*.f64 d d)))
	41.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
▶	38.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	37.5b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	38.9b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
	32.9b	(/.f64 b d)
▶	39.4b	(/.f64 a c)
▶	30.0b	(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
	30.4b	(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
▶	27.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
	41.2b	(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
	34.7b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
▶	16.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 398 to 242 computations (39.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	0.5b	(fma.f64 a c (*.f64 b d))
✓	15.4b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series13.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	a	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	b	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms	c	@	inf	(/.f64 1 (hypot.f64 c d))
0.0ms	a	@	inf	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

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

simplify167.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1836×	`associate-/r*`
1440×	`associate-l`
1150×	`associate-/l/`
798×	`*-commutative`
780×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	899	24277
1	2474	21857

Stop Event

1×	node limit

Counts

501 → 577

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

localize5.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
✓	2.7b	(*.f64 (/.f64 a d) (/.f64 c d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

205 → 201

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	19.0b	(/.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)))

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	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 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(*.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)))))))))

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

95 → 105

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
✓	10.6b	(/.f64 (*.f64 c a) (pow.f64 d 2))

Compiler

Compiled 36 to 16 computations (55.6% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	c	@	inf	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	d	@	-inf	(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
0.0ms	c	@	-inf	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	c	@	0	(/.f64 (*.f64 c a) (pow.f64 d 2))

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`associate-/r/`
588×	`distribute-lft-neg-in`
584×	`distribute-rgt-in`
548×	`distribute-lft-in`
542×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	270	46
2	4095	46

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

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

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1028×	`associate-r`
768×	`associate-l`
654×	`*-commutative`
588×	`+-commutative`
564×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	445	7984
1	1420	7268
2	6873	7268

Stop Event

1×	node limit

Counts

160 → 234

Calls

Call 1

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

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

eval345.0ms (3%)

Compiler: Compiled 29749 to 10184 computations (65.8% saved)

prune364.0ms (3.2%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1193	15	1208
Fresh	6	2	8
Picked	1	0	1
Done	2	2	4
Total	1202	19	1221

Error

0.0b

Counts

1221 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	27.4b	(/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d)
✓	38.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	45.7b	(/.f64 (.f64 d b) (.f64 d d))
	38.9b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
▶	32.9b	(/.f64 b d)
✓	39.4b	(/.f64 a c)
	28.9b	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
▶	28.0b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
	35.2b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
	41.2b	(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
▶	23.4b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
▶	51.4b	(*.f64 (/.f64 b c) (/.f64 d c))
	34.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
	46.4b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
▶	42.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	47.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
	52.9b	(*.f64 b (/.f64 (/.f64 d c) c))
	51.8b	(*.f64 a (/.f64 (/.f64 c d) d))
	52.2b	(.f64 a (/.f64 c (.f64 d d)))

Compiler

Compiled 484 to 302 computations (37.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (hypot.f64 d c))
✓	0.0b	(/.f64 d (hypot.f64 d c))
✓	0.5b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series12.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite136.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 286

Calls

Call 1

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

Outputs

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

simplify146.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/l/`
1344×	`associate-r`
1128×	`associate-/r*`
1062×	`associate-l`
1002×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	963	17086
1	2854	16986

Stop Event

1×	node limit

Counts

382 → 562

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

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

localize4.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1976×	`*-un-lft-identity`
1842×	`add-cube-cbrt`
1808×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2451	19

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-/r*`
1360×	`associate-/l*`
932×	`associate--r+`
856×	`associate-+l-`
788×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1562
1	302	1562
2	1317	1562
3	5631	1562

Stop Event

1×	node limit

Counts

82 → 50

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 d c) d)
✓	0.9b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
✓	6.3b	(/.f64 a (*.f64 (/.f64 d c) d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	d	@	0	(*.f64 (/.f64 d c) d)
0.0ms	d	@	inf	(*.f64 (/.f64 d c) d)
0.0ms	c	@	0	(*.f64 (/.f64 d c) d)
0.0ms	c	@	-inf	(*.f64 (/.f64 d c) d)
0.0ms	a	@	0	(/.f64 a (*.f64 (/.f64 d c) d))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`associate-/r/`
712×	`distribute-lft-neg-in`
672×	`associate-/l/`
586×	`distribute-rgt-in`
554×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	252	59
2	4055	59

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-r`
854×	`*-commutative`
836×	`associate-l`
766×	`associate-*l/`
756×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	562	11094
1	1791	9978

Stop Event

1×	node limit

Counts

310 → 285

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 11 computations (52.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
0.0ms	b	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
0.0ms	b	@	-inf	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
0.0ms	c	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
0.0ms	d	@	-inf	(*.f64 (/.f64 1 (hypot.f64 c d)) b)

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1632×	`*-un-lft-identity`
1510×	`add-cube-cbrt`
1486×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	178	13
2	2076	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1438×	`associate-/l*`
970×	`associate-*r/`
892×	`associate-/r*`
864×	`*-commutative`
658×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	2585
1	604	2437
2	2379	2353

Stop Event

1×	node limit

Counts

59 → 93

Calls

Call 1

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

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

eval297.0ms (2.6%)

Compiler: Compiled 24476 to 9906 computations (59.5% saved)

prune290.0ms (2.6%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1053	10	1063
Fresh	2	10	12
Picked	1	0	1
Done	0	6	6
Total	1056	26	1082

Error

Counts

1082 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	52.1b	(/.f64 (/.f64 b (/.f64 c d)) c)
	27.4b	(/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d)
✓	38.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	45.7b	(/.f64 (.f64 d b) (.f64 d d))
	57.4b	(/.f64 (neg.f64 b) d)
	58.9b	(/.f64 (neg.f64 b) c)
	38.9b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	42.9b	(/.f64 b (hypot.f64 c d))
▶	24.6b	(/.f64 b (/.f64 (/.f64 (hypot.f64 d c) d) (/.f64 1 (hypot.f64 d c))))
	53.2b	(/.f64 b (/.f64 c (/.f64 d c)))
✓	32.9b	(/.f64 b d)
▶	59.2b	(/.f64 b c)
✓	39.4b	(/.f64 a c)
▶	28.9b	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
✓	28.0b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
	35.2b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
	41.2b	(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
✓	23.4b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	52.8b	(*.f64 (/.f64 d c) (/.f64 b (hypot.f64 d c)))
✓	51.4b	(*.f64 (/.f64 b c) (/.f64 d c))
	34.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
	47.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
▶	59.2b	(*.f64 (/.f64 1 c) b)
	58.9b	(*.f64 (/.f64 -1 c) b)
	51.8b	(*.f64 a (/.f64 (/.f64 c d) d))
	52.2b	(.f64 a (/.f64 c (.f64 d d)))

Compiler

Compiled 562 to 359 computations (36.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 d c))
✓	0.0b	(/.f64 (hypot.f64 d c) d)
✓	0.2b	(/.f64 (/.f64 (hypot.f64 d c) d) (/.f64 1 (hypot.f64 d c)))
✓	2.6b	(/.f64 b (/.f64 (/.f64 (hypot.f64 d c) d) (/.f64 1 (hypot.f64 d c))))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series15.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	d	@	0	(/.f64 (/.f64 (hypot.f64 d c) d) (/.f64 1 (hypot.f64 d c)))
1.0ms	c	@	0	(/.f64 (/.f64 (hypot.f64 d c) d) (/.f64 1 (hypot.f64 d c)))
1.0ms	c	@	0	(/.f64 (hypot.f64 d c) d)
0.0ms	b	@	inf	(/.f64 b (/.f64 (/.f64 (hypot.f64 d c) d) (/.f64 1 (hypot.f64 d c))))
0.0ms	c	@	inf	(/.f64 (/.f64 (hypot.f64 d c) d) (/.f64 1 (hypot.f64 d c)))

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`associate-/l/`
1036×	`unswap-sqr`
882×	`swap-sqr`
520×	`distribute-lft-neg-in`
464×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	94
1	240	70
2	3457	70

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

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

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

simplify158.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-r`
1474×	`associate-l`
1000×	`associate-/r*`
734×	`associate-*r/`
662×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	793	15259
1	2392	15087

Stop Event

1×	node limit

Counts

323 → 464

Calls

Call 1

Inputs
(/.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 (*.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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (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 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)) (pow.f64 d 5))) (+.f64 (/.f64 b d) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 2) b))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) b) (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)))))) (pow.f64 d 7))))))
(/.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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (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 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)) (pow.f64 d 5))) (+.f64 (/.f64 b d) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) b) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 2) b))) (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)))))) (pow.f64 d 7))))))
(/.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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d 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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 (pow.f64 d 3) b))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d b))) (pow.f64 d 2))) (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 6)) (.f64 1/8 (pow.f64 d 6))) (.f64 d b)))) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d 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 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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d 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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 (pow.f64 d 3) b))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d b))) (pow.f64 d 2))) (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 6)) (.f64 1/8 (pow.f64 d 6))) (.f64 d b)))) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d 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 (pow.f64 c 2) d)
(+.f64 (/.f64 (pow.f64 c 2) d) d)
(+.f64 (.f64 (pow.f64 d 7) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 c 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6))))) (*.f64 1/16 (/.f64 1 (pow.f64 c 6)))))) (+.f64 (/.f64 (pow.f64 c 2) d) d))
(+.f64 (.f64 (pow.f64 d 7) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 c 6))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6))))) (.f64 1/16 (/.f64 1 (pow.f64 c 6)))))) (+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 d (.f64 (pow.f64 d 11) (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6)))) (pow.f64 c 4))) (+.f64 (.f64 -1 (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6)))) (pow.f64 c 4))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 c 5)) 2) (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 c 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6)))) (pow.f64 c 2)))) (pow.f64 c 2)))))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 c 10))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 c 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 c 6)))) (pow.f64 c 2)))) (pow.f64 c 2))))))))))
d
(+.f64 (/.f64 (pow.f64 c 2) d) d)
(+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d)))
(+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 d (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))))))
d
(+.f64 (/.f64 (pow.f64 c 2) d) d)
(+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d)))
(+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 d (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))))))
d
(+.f64 (/.f64 (pow.f64 c 2) d) d)
(+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 d (.f64 (pow.f64 c 8) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 6))) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)) d)) (.f64 5/64 (/.f64 1 (pow.f64 d 7)))))))
(+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 d (+.f64 (.f64 (pow.f64 c 8) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 6))) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)) d)) (.f64 5/64 (/.f64 1 (pow.f64 d 7))))) (.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 d 6))) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)) (pow.f64 d 3))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 6)))) (pow.f64 d 3)))) (pow.f64 c 10)))))
(/.f64 (pow.f64 c 2) d)
(+.f64 (/.f64 (pow.f64 c 2) d) d)
(+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 3) (pow.f64 c 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 3) (pow.f64 c 2))) d)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 3) (pow.f64 c 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 3) (pow.f64 c 2))) d)))))
(/.f64 (pow.f64 c 2) d)
(+.f64 (/.f64 (pow.f64 c 2) d) d)
(+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 3) (pow.f64 c 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 3) (pow.f64 c 2))) d)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 4))) (+.f64 (/.f64 (pow.f64 c 2) d) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 3) (pow.f64 c 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 d 3) (pow.f64 c 2))) d)))))
(/.f64 c d)
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(cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 d c))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 d c))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 d c)) -1))
(exp.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 d c)) 1)))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 d c))))

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

localize4.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 c) b)

Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(*.f64 (/.f64 1 c) b)
0.0ms	c	@	0	(*.f64 (/.f64 1 c) b)
0.0ms	b	@	-inf	(*.f64 (/.f64 1 c) b)
0.0ms	c	@	inf	(*.f64 (/.f64 1 c) b)
0.0ms	c	@	-inf	(*.f64 (/.f64 1 c) b)

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`add-sqr-sqrt`
1264×	`*-un-lft-identity`
1174×	`add-cube-cbrt`
1156×	`add-cbrt-cube`
1142×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	138	7
2	1628	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (/.f64 1 c) b)

Outputs

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

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate--l-`
852×	`associate--r-`
808×	`associate-/l/`
504×	`*-commutative`
498×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	315
1	122	315
2	393	315
3	2054	315
4	6749	315

Stop Event

1×	node limit

Counts

45 → 21

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	25.4b	(/.f64 (.f64 d b) (.f64 d d))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

75 → 59

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 d a) d)
✓	0.9b	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
✓	6.4b	(/.f64 c (*.f64 (/.f64 d a) d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series3.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`associate-/r/`
712×	`distribute-lft-neg-in`
672×	`associate-/l/`
586×	`distribute-rgt-in`
554×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	252	59
2	4055	59

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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

simplify146.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1028×	`associate-r`
854×	`*-commutative`
838×	`associate-l`
762×	`associate-*l/`
762×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	561	11094
1	1788	9978

Stop Event

1×	node limit

Counts

310 → 284

Calls

Call 1

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

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

eval310.0ms (2.7%)

Compiler: Compiled 19895 to 8790 computations (55.8% saved)

prune276.0ms (2.4%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	827	1	828
Fresh	2	13	15
Picked	0	1	1
Done	3	7	10
Total	832	22	854

Error

Counts

854 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	52.1b	(/.f64 (/.f64 b (/.f64 c d)) c)
	27.4b	(/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d)
✓	45.7b	(/.f64 (.f64 d b) (.f64 d d))
	57.4b	(/.f64 (neg.f64 b) d)
	58.9b	(/.f64 (neg.f64 b) c)
	38.9b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	53.2b	(/.f64 b (/.f64 c (/.f64 d c)))
	24.5b	(/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))
✓	32.9b	(/.f64 b d)
✓	59.2b	(/.f64 b c)
✓	39.4b	(/.f64 a c)
✓	28.9b	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
✓	28.0b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
	35.2b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
	41.2b	(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
✓	51.4b	(*.f64 (/.f64 b c) (/.f64 d c))
	34.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
	47.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
✓	59.2b	(*.f64 (/.f64 1 c) b)
	58.9b	(*.f64 (/.f64 -1 c) b)
	51.8b	(*.f64 a (/.f64 (/.f64 c d) d))
	52.2b	(.f64 a (/.f64 c (.f64 d d)))

Compiler

Compiled 260 to 168 computations (35.4% saved)

regimes790.0ms (7%)

Counts

40 → 3

Calls

Call 1

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

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

Calls

5 calls:

216.0ms	d
211.0ms	a
154.0ms	c
134.0ms	b
67.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
11.0b	7	`a`
7.0b	3	`b`
9.8b	5	`c`
5.4b	5	`d`
5.2b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 415 to 144 computations (65.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6739472131529324e+267	+inf
0.0ms	-inf	-2.0547631855115273e+300

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes1.0s (8.9%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

5 calls:

494.0ms	a
172.0ms	d
131.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
120.0ms	c
79.0ms	b

Results

Error	Segments	Branch
13.5b	9	`a`
12.2b	3	`b`
11.4b	5	`c`
5.6b	5	`d`
7.7b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 382 to 135 computations (64.7% saved)

bsearch99.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	3.015818608432363e+83	7.955063819185188e+83
18.0ms	2.4491216451877814e-153	1.1429370396375847e-150
13.0ms	-1.2378743349424626e-153	-2.453311085063466e-154
53.0ms	-1.1925188519043955e+58	-7.099132663623835e+56

Results

91.0ms	416×	body	256	valid
2.0ms	21×	body	256	infinite

Compiler

Compiled 962 to 584 computations (39.3% saved)

regimes437.0ms (3.9%)

Counts

35 → 5

Calls

Call 1

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

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

Calls

5 calls:

129.0ms	a
91.0ms	d
89.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
73.0ms	c
48.0ms	b

Results

Error	Segments	Branch
14.7b	8	`a`
13.1b	3	`b`
11.4b	5	`c`
5.8b	5	`d`
8.4b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 345 to 124 computations (64.1% saved)

bsearch62.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
11.0ms	3.015818608432363e+83	7.955063819185188e+83
19.0ms	2.4491216451877814e-153	1.1429370396375847e-150
16.0ms	-1.2378743349424626e-153	-2.453311085063466e-154
16.0ms	-1.1925188519043955e+58	-7.099132663623835e+56

Results

52.0ms	416×	body	256	valid
4.0ms	28×	body	256	infinite

Compiler

Compiled 952 to 584 computations (38.7% saved)

regimes352.0ms (3.1%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

4 calls:

175.0ms	a
79.0ms	b
58.0ms	d
35.0ms	c

Results

Error	Segments	Branch
15.4b	8	`a`
18.1b	3	`b`
12.4b	3	`c`
11.1b	5	`d`

Compiler

Compiled 228 to 82 computations (64% saved)

bsearch137.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
57.0ms	5.191796846190773e+40	1.0184307919578875e+42
17.0ms	5.808888058294355e-95	4.232109129291652e-92
38.0ms	2.4491216451877814e-153	1.1429370396375847e-150
25.0ms	-2.7215555852054696e-60	-4.375085079236553e-87

Results

127.0ms	544×	body	256	valid
3.0ms	29×	body	256	infinite

Compiler

Compiled 1100 to 690 computations (37.3% saved)

regimes345.0ms (3%)

Counts

24 → 5

Calls

Call 1

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

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

Calls

4 calls:

138.0ms	a
87.0ms	d
65.0ms	c
51.0ms	b

Results

Error	Segments	Branch
15.4b	8	`a`
18.1b	3	`b`
12.4b	3	`c`
11.3b	5	`d`

Compiler

Compiled 206 to 77 computations (62.6% saved)

bsearch116.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	5.191796846190773e+40	1.0184307919578875e+42
17.0ms	5.808888058294355e-95	4.232109129291652e-92
18.0ms	2.4491216451877814e-153	1.1429370396375847e-150
67.0ms	-2.7215555852054696e-60	-4.375085079236553e-87

Results

105.0ms	544×	body	256	valid
5.0ms	39×	body	256	infinite

Compiler

Compiled 1100 to 690 computations (37.3% saved)

regimes182.0ms (1.6%)

Counts

18 → 5

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	a
45.0ms	d
41.0ms	b
29.0ms	c

Results

Error	Segments	Branch
15.5b	8	`a`
18.5b	4	`b`
12.4b	3	`c`
11.4b	5	`d`

Compiler

Compiled 140 to 58 computations (58.6% saved)

bsearch78.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	5.191796846190773e+40	1.0184307919578875e+42
22.0ms	5.808888058294355e-95	4.232109129291652e-92
18.0ms	2.4491216451877814e-153	1.1429370396375847e-150
24.0ms	-2.7215555852054696e-60	-4.375085079236553e-87

Results

66.0ms	544×	body	256	valid
4.0ms	34×	body	256	infinite

Compiler

Compiled 1046 to 663 computations (36.6% saved)

regimes134.0ms (1.2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	a
31.0ms	d
30.0ms	b
23.0ms	c

Results

Error	Segments	Branch
16.7b	6	`a`
18.7b	4	`b`
16.5b	3	`c`
13.7b	3	`d`

Compiler

Compiled 118 to 54 computations (54.2% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.4491216451877814e-153	1.1429370396375847e-150
23.0ms	-2.7215555852054696e-60	-4.375085079236553e-87

Results

33.0ms	304×	body	256	valid
3.0ms	28×	body	256	infinite

Compiler

Compiled 444 to 302 computations (32% saved)

regimes181.0ms (1.6%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

4 calls:

67.0ms	a
55.0ms	b
28.0ms	d
22.0ms	c

Results

Error	Segments	Branch
21.1b	5	`a`
19.1b	7	`b`
19.6b	3	`c`
16.4b	3	`d`

Compiler

Compiled 109 to 50 computations (54.1% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.4491216451877814e-153	1.1429370396375847e-150
19.0ms	-5.165578297418262e-54	-2.7215555852054696e-60

Results

31.0ms	272×	body	256	valid
3.0ms	24×	body	256	infinite

Compiler

Compiled 400 to 272 computations (32% saved)

regimes336.0ms (3%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

4 calls:

129.0ms	a
106.0ms	b
77.0ms	d
20.0ms	c

Results

Error	Segments	Branch
25.5b	9	`a`
21.2b	12	`b`
21.1b	3	`c`
19.6b	5	`d`

Compiler

Compiled 100 to 48 computations (52% saved)

bsearch170.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	5.191796846190773e+40	1.0184307919578875e+42
50.0ms	5.808888058294355e-95	4.232109129291652e-92
56.0ms	2.4491216451877814e-153	1.1429370396375847e-150
49.0ms	-5.165578297418262e-54	-2.7215555852054696e-60

Results

126.0ms	512×	body	256	valid
38.0ms	31×	body	256	infinite

Compiler

Compiled 602 to 433 computations (28.1% saved)

regimes273.0ms (2.4%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

4 calls:

102.0ms	b
88.0ms	a
50.0ms	c
31.0ms	d

Results

Error	Segments	Branch
25.5b	9	`a`
21.2b	12	`b`
21.1b	3	`c`
19.6b	5	`d`

Compiler

Compiled 86 to 44 computations (48.8% saved)

bsearch98.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
37.0ms	5.191796846190773e+40	1.0184307919578875e+42
16.0ms	5.808888058294355e-95	4.232109129291652e-92
28.0ms	2.4491216451877814e-153	1.1429370396375847e-150
17.0ms	-5.165578297418262e-54	-2.7215555852054696e-60

Results

79.0ms	512×	body	256	valid
3.0ms	30×	body	256	infinite

Compiler

Compiled 538 to 401 computations (25.5% saved)

regimes14.0ms (0.1%)

Accuracy

Total -20.4b remaining (-51.8%)

Threshold costs -20.4b (-51.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 a c)

Calls

4 calls:

4.0ms	b
3.0ms	c
3.0ms	d
3.0ms	a

Results

Error	Segments	Branch
39.4b	1	`a`
39.4b	1	`b`
39.4b	1	`c`
39.4b	1	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

16×	`if-not`
14×	`*-commutative`
12×	`+-commutative`
8×	`not-or`
8×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1463
1	153	1463
2	156	1463
3	162	1459
4	166	1459
5	171	1459
6	172	1459
7	177	1459

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) -inf.0) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c)))) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 1999999999999999946876449708320454611755037122245647501187425183974291928048889313388088808953737378030298335245992618380331649168046293882036699478618270926496245226918628214148078583623138658439297697815086008395781024375588939792740841587066326986846945784130174976) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))))
(if (<=.f64 d -11800000000000000256886737609196288950989020972390484541440) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -7547924849643083/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 2500250106444271/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 489999999999999978699336982519612162006953132160950987685694775510355678437650202624) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))))))
(if (<=.f64 d -11800000000000000256886737609196288950989020972390484541440) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -1094449103198247/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3538089773270195/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 650000000000000026764317766915076938717417597804589419658869442086334024669556899840) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -1764020109474739/904625697166532776746648320380374280103671755200316906558262375061821325312) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 4054061198538765/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 63999999999999996141386647782603429511168) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -4884978764699277/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 69999999999999998499724740145138144116736) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 (+.f64 b (.f64 c (/.f64 a d))) d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (+.f64 b (.f64 c (/.f64 a d))) d) (if (<=.f64 d 52000000000000001096117019974567397949440) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -1750577792162449/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 a c) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))
(if (<=.f64 d -6558536304457363/113078212145816597093331040047546785012958969400039613319782796882727665664) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c)))) (if (<=.f64 d 7371020360979573/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (/.f64 a c) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))
(if (<=.f64 d -2829716002184131/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 b d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 a c) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (.f64 d b) (.f64 d d)) (if (<=.f64 d 54000000000000001882229717428745636151296) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 d -7729955908405431/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 b d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 a c) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 b d) (if (<=.f64 d 52000000000000001096117019974567397949440) (/.f64 a c) (/.f64 b d)))))
(/.f64 a c)

Outputs
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) -inf.0) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c)))) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 1999999999999999946876449708320454611755037122245647501187425183974291928048889313388088808953737378030298335245992618380331649168046293882036699478618270926496245226918628214148078583623138658439297697815086008395781024375588939792740841587066326986846945784130174976) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))))
(if (<=.f64 d -11800000000000000256886737609196288950989020972390484541440) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -7547924849643083/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 2500250106444271/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 489999999999999978699336982519612162006953132160950987685694775510355678437650202624) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))))))
(if (<=.f64 d -11800000000000000256886737609196288950989020972390484541440) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -7547924849643083/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 2500250106444271/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 489999999999999978699336982519612162006953132160950987685694775510355678437650202624) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))))))
(if (<=.f64 d -11800000000000000256886737609196288950989020972390484541440) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -1094449103198247/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3538089773270195/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 650000000000000026764317766915076938717417597804589419658869442086334024669556899840) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -11800000000000000256886737609196288950989020972390484541440) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -1094449103198247/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3538089773270195/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 650000000000000026764317766915076938717417597804589419658869442086334024669556899840) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -1764020109474739/904625697166532776746648320380374280103671755200316906558262375061821325312) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 4054061198538765/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 63999999999999996141386647782603429511168) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -1764020109474739/904625697166532776746648320380374280103671755200316906558262375061821325312) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 4054061198538765/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (.f64 b d) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 63999999999999996141386647782603429511168) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -4884978764699277/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 69999999999999998499724740145138144116736) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -4884978764699277/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 69999999999999998499724740145138144116736) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 (+.f64 b (.f64 c (/.f64 a d))) d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (+.f64 b (.f64 c (/.f64 a d))) d) (if (<=.f64 d 52000000000000001096117019974567397949440) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 (+.f64 b (.f64 c (/.f64 a d))) d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (+.f64 b (.f64 c (/.f64 a d))) d) (if (<=.f64 d 52000000000000001096117019974567397949440) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))))
(if (<=.f64 d -1750577792162449/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 a c) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))
(if (<=.f64 d -6558536304457363/113078212145816597093331040047546785012958969400039613319782796882727665664) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c)))) (if (<=.f64 d 7371020360979573/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (/.f64 a c) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))))
(if (or (<=.f64 d -6558536304457363/113078212145816597093331040047546785012958969400039613319782796882727665664) (not (<=.f64 d 7371020360979573/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992))) (/.f64 b (+.f64 d (/.f64 c (/.f64 d c)))) (/.f64 a c))
(if (<=.f64 d -2829716002184131/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 b d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 a c) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (.f64 d b) (.f64 d d)) (if (<=.f64 d 54000000000000001882229717428745636151296) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 d -2829716002184131/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 b d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 a c) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (.f64 b d) (.f64 d d)) (if (<=.f64 d 54000000000000001882229717428745636151296) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 d -7729955908405431/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 b d) (if (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 a c) (if (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 b d) (if (<=.f64 d 52000000000000001096117019974567397949440) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 d -7729955908405431/55213970774324510299478046898216203619608871777363092441300193790394368) (/.f64 b d) (if (or (<=.f64 d 8402963211516713/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (and (not (<=.f64 d 4434048396276997/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232)) (<=.f64 d 52000000000000001096117019974567397949440))) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

Compiler

Compiled 589 to 275 computations (53.3% saved)

soundness70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-r`
1474×	`associate-l`
1000×	`associate-/r*`
734×	`associate-*r/`
662×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	793	15259
1	2392	15087

Stop Event

1×	node limit

Compiler

Compiled 40 to 22 computations (45% saved)

end144.0ms (1.3%)

Compiler: Compiled 549 to 143 computations (74% saved)