Details

analyze371.0ms (2.7%)

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)

sample976.0ms (7.2%)

Results

904.0ms	8256×	body	256	valid
62.0ms	518×	body	256	infinite

Bogosity

preprocess17.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.5b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (.f64 a c) (.f64 b d))
✓	27.1b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series8.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	285	48
2	4080	48

Stop Event

1×	node limit

Counts

2 → 103

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))

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

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1684×	`distribute-lft-in`
1660×	`distribute-rgt-in`
786×	`associate-/l/`
774×	`associate-/r/`
494×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	316	8211
1	832	7825
2	4084	7825

Stop Event

1×	node limit

Counts

199 → 189

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))
(-.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))

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

eval82.0ms (0.6%)

Compiler: Compiled 5098 to 1655 computations (67.5% saved)

prune86.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	177	12	189
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	13	190

Error

0.1b

Counts

190 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	49.3b	(/.f64 (pow.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) 2) (+.f64 (.f64 c c) (*.f64 d d)))
✓	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	39.5b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	42.8b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	43.5b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	38.2b	(/.f64 b d)
▶	36.6b	(/.f64 a c)
▶	33.5b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
	33.6b	(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
▶	30.3b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	18.0b	(.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)))
	41.4b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
▶	17.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 395 to 229 computations (42% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 52 to 14 computations (73.1% saved)

series12.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	284	73
2	3557	73

Stop Event

1×	node limit

Counts

3 → 303

Calls

Call 1

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

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

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

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

simplify202.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	852	23449
1	2398	21529

Stop Event

1×	node limit

Counts

423 → 552

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.0b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
✓	2.4b	(*.f64 (/.f64 b c) (/.f64 d c))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

205 → 201

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.1b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
✓	2.1b	(*.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	c	@	0	(+.f64 (/.f64 b d) (*.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))
1.0ms	c	@	0	(*.f64 (/.f64 a d) (/.f64 c d))
0.0ms	d	@	0	(*.f64 (/.f64 a d) (/.f64 c d))

rewrite82.0ms (0.6%)

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))))))

simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

205 → 201

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	19.2b	(/.f64 (.f64 c a) (+.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	a	@	inf	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
0.0ms	a	@	0	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
0.0ms	c	@	0	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
0.0ms	c	@	inf	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
0.0ms	a	@	-inf	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`associate-/r*`
1352×	`associate-/l*`
1342×	`associate-*r/`
1098×	`*-commutative`
958×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	217	25
2	3113	25

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1688×	`associate-/l*`
1404×	`times-frac`
1354×	`associate-+r-`
970×	`associate-/r*`
596×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	3867
1	494	3711
2	1889	3603
3	7684	3603

Stop Event

1×	node limit

Counts

95 → 104

Calls

Call 1

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

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

eval306.0ms (2.3%)

Compiler: Compiled 26016 to 7740 computations (70.2% saved)

prune268.0ms (2%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1043	15	1058
Fresh	6	1	7
Picked	1	0	1
Done	2	3	5
Total	1052	19	1071

Error

Counts

1071 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	17.3b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
✓	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	55.7b	(/.f64 (.f64 c a) (.f64 d d))
▶	38.2b	(/.f64 b d)
✓	36.6b	(/.f64 a c)
	33.3b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
	36.6b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
▶	35.2b	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
	30.3b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
	29.8b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
	32.1b	(+.f64 (/.f64 a c) (/.f64 (.f64 b d) (.f64 c c)))
	30.4b	(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 c d))))
✓	30.3b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
▶	41.4b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	52.9b	(*.f64 (/.f64 a d) (/.f64 c d))
▶	10.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
▶	44.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (.f64 d b) c)))
	44.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
	33.6b	(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))

Compiler

Compiled 531 to 323 computations (39.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (hypot.f64 c d) d)
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
✓	2.9b	(/.f64 b (/.f64 (hypot.f64 c d) d))
✓	10.9b	(/.f64 (*.f64 c a) (hypot.f64 c d))

Compiler

Compiled 75 to 16 computations (78.7% saved)

series22.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
2.0ms	c	@	-inf	(/.f64 b (/.f64 (hypot.f64 c d) d))
1.0ms	c	@	0	(/.f64 (*.f64 c a) (hypot.f64 c d))
1.0ms	a	@	0	(/.f64 (*.f64 c a) (hypot.f64 c d))
1.0ms	a	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))

rewrite123.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 269

Calls

Call 1

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

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

simplify168.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1121	22455
1	3525	22029

Stop Event

1×	node limit

Counts

413 → 590

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.8b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
✓	18.5b	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`associate-*r/`
1082×	`*-commutative`
1062×	`associate-/r*`
966×	`associate-*l/`
826×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	217	44
2	3069	44

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) (/.f64 (sqrt.f64 c) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))) (/.f64 (cbrt.f64 (*.f64 c c)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c c)) (/.f64 (cbrt.f64 c) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 d d) (*.f64 c c)) (/.f64 c (-.f64 (pow.f64 d 4) (pow.f64 c 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)) (/.f64 c (+.f64 (pow.f64 d 6) (pow.f64 c 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 -1 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (sqrt.f64 c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (neg.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (-.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 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (cbrt.f64 (*.f64 c c)))) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 c) (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (-.f64 (*.f64 d d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 c) (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (neg.f64 (-.f64 (*.f64 d d) (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 1) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 (pow.f64 (hypot.f64 c d) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (pow.f64 (hypot.f64 c d) 2) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) c) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c) (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) a) (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c) (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 a (sqrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 a) (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) c) (pow.f64 (cbrt.f64 a) 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simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/l*`
828×	`times-frac`
606×	`associate-/l/`
540×	`*-commutative`
506×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	549	10038
1	1455	9780
2	7133	9780

Stop Event

1×	node limit

Counts

250 → 303

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 d a) d)
✓	2.1b	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
✓	5.1b	(/.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	a	@	0	(*.f64 (/.f64 d a) d)
0.0ms	a	@	-inf	(*.f64 (/.f64 d a) d)
0.0ms	d	@	inf	(*.f64 (/.f64 d a) d)
0.0ms	c	@	0	(/.f64 c (*.f64 (/.f64 d a) d))

rewrite96.0ms (0.7%)

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

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b d))) (-.f64 1 (*.f64 (/.f64 c (*.f64 d d)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c (*.f64 d d)) a))) (-.f64 1 (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c (*.f64 d d)) a) 2) (-.f64 b (*.f64 c (/.f64 a d)))) d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 c (*.f64 d d)) a) (exp.f64 (log1p.f64 (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b d) (exp.f64 (log1p.f64 (*.f64 (/.f64 c (*.f64 d d)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 c 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simplify108.0ms (0.8%)

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (/.f64 (*.f64 d b) c))
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	4.4b	(/.f64 (*.f64 d b) c)
✓	5.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (.f64 d b) c)))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

33 calls:

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

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

910×	`associate-r`
864×	`associate-+r+`
842×	`associate-l`
766×	`+-commutative`
712×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	464	9301
1	1358	8677
2	7167	8677

Stop Event

1×	node limit

Counts

221 → 285

Calls

Call 1

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

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

eval646.0ms (4.8%)

Compiler: Compiled 42283 to 15918 computations (62.4% saved)

prune573.0ms (4.2%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1526	9	1535
Fresh	3	8	11
Picked	1	0	1
Done	2	5	7
Total	1532	22	1554

Error

Counts

1554 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	55.7b	(/.f64 (.f64 c a) (.f64 d d))
	60.0b	(/.f64 (neg.f64 b) c)
	58.6b	(/.f64 (neg.f64 a) c)
✓	38.2b	(/.f64 b d)
▶	60.0b	(/.f64 b c)
✓	36.6b	(/.f64 a c)
▶	33.3b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
	36.6b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
✓	35.2b	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
	30.3b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
	29.5b	(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
▶	32.1b	(+.f64 (/.f64 a c) (/.f64 (.f64 b d) (.f64 c c)))
	30.4b	(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 c d))))
✓	41.4b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	55.5b	(.f64 (/.f64 c (.f64 d d)) a)
▶	52.9b	(*.f64 (/.f64 c d) (/.f64 a d))
	55.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 d b) c))
▶	22.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	44.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
	33.6b	(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
	36.7b	(*.f64 (/.f64 1 c) a)

Compiler

Compiled 513 to 329 computations (35.9% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
	0.0b	(/.f64 (hypot.f64 c d) d)
✓	0.3b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	2.9b	(/.f64 b (/.f64 (hypot.f64 c d) d))

Compiler

Compiled 53 to 14 computations (73.6% saved)

series8.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`associate-/r/`
710×	`distribute-rgt-in`
698×	`associate-/l/`
672×	`distribute-lft-in`
298×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	287	33
2	4161	33

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1228×	`+-commutative`
978×	`associate-+r+`
898×	`associate--r+`
618×	`times-frac`
574×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	8530
1	1293	8050
2	5867	8044

Stop Event

1×	node limit

Counts

100 → 152

Calls

Call 1

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

Outputs
(/.f64 (+.f64 a b) d)
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (*.f64 1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (pow.f64 c 2)) (+.f64 (/.f64 b d) (/.f64 a d)))
(fma.f64 (+.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 -1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (*.f64 c c) (+.f64 (/.f64 b d) (/.f64 a d)))
(fma.f64 (.f64 -1/2 (+.f64 (/.f64 b (pow.f64 d 3)) (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 c c) (+.f64 (/.f64 b d) (/.f64 a d)))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (pow.f64 c 2)) (+.f64 (.f64 (pow.f64 c 4) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 d 4))) (.f64 -1/4 (/.f64 b (pow.f64 d 4)))) d)) (+.f64 (.f64 -1/8 (/.f64 (+.f64 a b) (pow.f64 d 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (*.f64 1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (pow.f64 d 2)))))) (+.f64 (/.f64 b d) (/.f64 a d))))
(fma.f64 (+.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 -1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 c c) (fma.f64 (pow.f64 c 4) (-.f64 (neg.f64 (/.f64 (.f64 (/.f64 b (pow.f64 d 4)) -3/8) d)) (fma.f64 -1/8 (/.f64 (+.f64 a b) (pow.f64 d 5)) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 -1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 d d))))) (+.f64 (/.f64 b d) (/.f64 a d))))
(fma.f64 (.f64 -1/2 (+.f64 (/.f64 b (pow.f64 d 3)) (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 c c) (fma.f64 (pow.f64 c 4) (-.f64 (/.f64 (neg.f64 (/.f64 (.f64 b -3/8) (pow.f64 d 4))) d) (fma.f64 1/2 (/.f64 (.f64 -1/2 (+.f64 (/.f64 b (pow.f64 d 3)) (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 d d)) (.f64 -1/8 (/.f64 (+.f64 a b) (pow.f64 d 5))))) (+.f64 (/.f64 b d) (/.f64 a d))))
(+.f64 (.f64 (pow.f64 c 6) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 d 4))) (.f64 -1/4 (/.f64 b (pow.f64 d 4)))) (pow.f64 d 2))) (.f64 1/8 (/.f64 b (pow.f64 d 6)))) d)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 d 4))) (.f64 -1/4 (/.f64 b (pow.f64 d 4)))) d)) (+.f64 (.f64 -1/8 (/.f64 (+.f64 a b) (pow.f64 d 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (pow.f64 d 2))))) (pow.f64 d 2))) (+.f64 (.f64 1/16 (/.f64 (+.f64 a b) (pow.f64 d 7))) (.f64 -1/8 (/.f64 (-.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (pow.f64 d 4))))))) (+.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (pow.f64 c 2)) (+.f64 (.f64 (pow.f64 c 4) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 d 4))) (.f64 -1/4 (/.f64 b (pow.f64 d 4)))) d)) (+.f64 (.f64 -1/8 (/.f64 (+.f64 a b) (pow.f64 d 5))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (*.f64 1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (pow.f64 d 2)))))) (+.f64 (/.f64 b d) (/.f64 a d)))))
(fma.f64 (pow.f64 c 6) (-.f64 (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 (.f64 (/.f64 b (pow.f64 d 4)) -3/8) (.f64 d d)) (.f64 1/8 (/.f64 b (pow.f64 d 6)))) d)) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (/.f64 b (pow.f64 d 4)) -3/8) d)) (fma.f64 -1/8 (/.f64 (+.f64 a b) (pow.f64 d 5)) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 -1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 d d))))) (.f64 d d)) (fma.f64 1/16 (/.f64 (+.f64 a b) (pow.f64 d 7)) (/.f64 (.f64 -1/8 (+.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 -1/2 (/.f64 (+.f64 a b) (pow.f64 d 3))))) (pow.f64 d 4))))) (fma.f64 (+.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 -1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 c c) (fma.f64 (pow.f64 c 4) (-.f64 (neg.f64 (/.f64 (.f64 (/.f64 b (pow.f64 d 4)) -3/8) d)) (fma.f64 -1/8 (/.f64 (+.f64 a b) (pow.f64 d 5)) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 b (pow.f64 d 3))) (.f64 -1/2 (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 d d))))) (+.f64 (/.f64 b d) (/.f64 a d)))))
(fma.f64 (pow.f64 c 6) (-.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (/.f64 (/.f64 (.f64 b -3/8) (pow.f64 d 4)) (.f64 d d)) (/.f64 1/8 (/.f64 (pow.f64 d 6) b)))) d) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (neg.f64 (/.f64 (.f64 b -3/8) (pow.f64 d 4))) d) (fma.f64 1/2 (/.f64 (.f64 -1/2 (+.f64 (/.f64 b (pow.f64 d 3)) (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 d d)) (.f64 -1/8 (/.f64 (+.f64 a b) (pow.f64 d 5))))) (.f64 d d)) (fma.f64 -1/8 (/.f64 (.f64 -1/2 (+.f64 (/.f64 b (pow.f64 d 3)) (/.f64 (+.f64 a b) (pow.f64 d 3)))) (pow.f64 d 4)) (/.f64 1/16 (/.f64 (pow.f64 d 7) (+.f64 a b)))))) (fma.f64 (.f64 -1/2 (+.f64 (/.f64 b (pow.f64 d 3)) (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 c c) (fma.f64 (pow.f64 c 4) (-.f64 (/.f64 (neg.f64 (/.f64 (.f64 b -3/8) (pow.f64 d 4))) d) (fma.f64 1/2 (/.f64 (.f64 -1/2 (+.f64 (/.f64 b (pow.f64 d 3)) (/.f64 (+.f64 a b) (pow.f64 d 3)))) (.f64 d d)) (.f64 -1/8 (/.f64 (+.f64 a b) (pow.f64 d 5))))) (+.f64 (/.f64 b d) (/.f64 a d)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 b d) (.f64 c c)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) b))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (.f64 b d) (*.f64 c c))))
(+.f64 (/.f64 a c) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (.f64 (/.f64 d (*.f64 c c)) b)))
(-.f64 (+.f64 (/.f64 a c) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (.f64 d b) (pow.f64 c 2))))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 d 3) b) (pow.f64 c 4))))
(+.f64 (/.f64 a c) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (.f64 b d) (.f64 c c)))) (/.f64 (.f64 1/2 (*.f64 b (pow.f64 d 3))) (pow.f64 c 4))))
(+.f64 (/.f64 a c) (+.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (.f64 (/.f64 d (.f64 c c)) b))) (/.f64 (.f64 -1/2 (.f64 b (pow.f64 d 3))) (pow.f64 c 4))))
(+.f64 (+.f64 (/.f64 a c) (.f64 -1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b) (.f64 (/.f64 d (.f64 c c)) b)))
(*.f64 -1 (/.f64 a c))
(neg.f64 (/.f64 a c))
(/.f64 (neg.f64 a) c)
(+.f64 (.f64 -1 (/.f64 a c)) (/.f64 (.f64 d b) (pow.f64 c 2)))
(fma.f64 -1 (/.f64 a c) (/.f64 (.f64 b d) (.f64 c c)))
(-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 a c))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 a c)) (/.f64 (.f64 d b) (pow.f64 c 2))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 a c) (/.f64 (.f64 b d) (*.f64 c c))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (-.f64 (.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 a c)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))) (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))))
(+.f64 (fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 a c) (fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 b d) (.f64 c c))))) (.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (+.f64 (-.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b) (.f64 (/.f64 d (.f64 c c)) b)) (/.f64 a c)) (/.f64 (.f64 -1/2 (.f64 b (pow.f64 d 3))) (pow.f64 c 4))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (+.f64 (/.f64 (.f64 -1/2 (.f64 b (pow.f64 d 3))) (pow.f64 c 4)) (-.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b) (.f64 (/.f64 d (.f64 c c)) b)) (/.f64 a c))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 b d) (.f64 c c)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) b))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (.f64 b d) (*.f64 c c))))
(+.f64 (/.f64 a c) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (.f64 (/.f64 d (*.f64 c c)) b)))
(+.f64 (/.f64 a c) (+.f64 (.f64 (pow.f64 d 3) (-.f64 (.f64 -1/2 (/.f64 b (pow.f64 c 4))) (.f64 1/2 (/.f64 b (pow.f64 c 4))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 (pow.f64 d 3) (.f64 (/.f64 b (pow.f64 c 4)) -1) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (.f64 b d) (.f64 c c)))))
(+.f64 (/.f64 a c) (fma.f64 (pow.f64 d 3) (/.f64 (neg.f64 b) (pow.f64 c 4)) (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (.f64 (/.f64 d (*.f64 c c)) b))))
(/.f64 (+.f64 a b) d)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 a d))) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 a b)) (pow.f64 d 3))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 a d))) (.f64 -1/2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) (+.f64 a b)))))
(+.f64 (+.f64 (/.f64 a d) (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))) (.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) (+.f64 a b))))
(-.f64 (+.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 b d) (/.f64 a d)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (-.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) b)) (.f64 1/2 (.f64 (pow.f64 c 2) (+.f64 a b))))) (pow.f64 d 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 4) (+.f64 a b)) (pow.f64 d 5))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 a b)) (pow.f64 d 3))))))
(-.f64 (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)) (+.f64 (/.f64 b d) (/.f64 a d)))) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 5) (+.f64 (.f64 -1/2 (.f64 b (.f64 c c))) (.f64 -1/2 (.f64 (+.f64 a b) (.f64 c c)))))) (fma.f64 -1/8 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) (+.f64 a b))) (/.f64 (.f64 (.f64 1/2 (*.f64 c c)) (+.f64 a b)) (pow.f64 d 3)))))
(+.f64 (+.f64 (/.f64 a d) (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))) (-.f64 (/.f64 (.f64 (.f64 b (pow.f64 c 4)) 3/8) (pow.f64 d 5)) (fma.f64 1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 5)) (.f64 -1/2 (+.f64 (.f64 b (.f64 c c)) (.f64 (+.f64 a b) (.f64 c c))))) (fma.f64 1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) (+.f64 a b)) (/.f64 (*.f64 (+.f64 a b) (pow.f64 c 4)) (/.f64 (pow.f64 d 5) -1/8))))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.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 b d) (+.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 a d))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 4) (+.f64 a b)) (pow.f64 d 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 a b)) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (-.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) b)) (.f64 1/2 (.f64 (pow.f64 c 2) (+.f64 a b))))) (pow.f64 d 5))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 6) (+.f64 a b)) (pow.f64 d 7))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) (+.f64 a b))) (.f64 1/2 (.f64 (pow.f64 c 2) (-.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) b)) (.f64 1/2 (.f64 (pow.f64 c 2) (+.f64 a b))))))))) (pow.f64 d 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) b)) (.f64 1/2 (*.f64 (pow.f64 c 2) (+.f64 a b))))) (pow.f64 d 7)))))))))
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(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (.f64 a a)) (*.f64 (hypot.f64 c d) (fma.f64 b (/.f64 d (hypot.f64 c d)) (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) 2) (.f64 a a)) (.f64 (hypot.f64 c d) (-.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))
(/.f64 (.f64 -1 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 a 3))) (.f64 (neg.f64 (hypot.f64 c d)) (+.f64 (.f64 a a) (.f64 (.f64 b (/.f64 d (hypot.f64 c d))) (-.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 a 3)) (.f64 (hypot.f64 c d) (fma.f64 a a (.f64 b (.f64 (/.f64 d (hypot.f64 c d)) (fma.f64 b (/.f64 d (hypot.f64 c d)) (neg.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) 3) (pow.f64 a 3)) (.f64 (hypot.f64 c d) (fma.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (-.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a) (.f64 a a))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (.f64 a a)) 1) (.f64 (-.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) a) (hypot.f64 c d)))
(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (.f64 a a)) (*.f64 (hypot.f64 c d) (fma.f64 b (/.f64 d (hypot.f64 c d)) (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) 2) (.f64 a a)) (.f64 (hypot.f64 c d) (-.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (.f64 a a)) -1) (.f64 (-.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) a) (neg.f64 (hypot.f64 c d))))
(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (.f64 a a)) (*.f64 (hypot.f64 c d) (fma.f64 b (/.f64 d (hypot.f64 c d)) (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) 2) (.f64 a a)) (.f64 (hypot.f64 c d) (-.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 a 3)) 1) (.f64 (+.f64 (.f64 a a) (.f64 (.f64 b (/.f64 d (hypot.f64 c d))) (-.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) a))) (hypot.f64 c d)))
(/.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 a 3)) (.f64 (hypot.f64 c d) (fma.f64 a a (.f64 b (.f64 (/.f64 d (hypot.f64 c d)) (fma.f64 b (/.f64 d (hypot.f64 c d)) (neg.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) 3) (pow.f64 a 3)) (.f64 (hypot.f64 c d) (fma.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (-.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a) (.f64 a a))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 a 3)) -1) (.f64 (+.f64 (.f64 a a) (.f64 (.f64 b (/.f64 d (hypot.f64 c d))) (-.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) a))) (neg.f64 (hypot.f64 c d))))
(/.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 a 3)) (.f64 (hypot.f64 c d) (fma.f64 a a (.f64 b (.f64 (/.f64 d (hypot.f64 c d)) (fma.f64 b (/.f64 d (hypot.f64 c d)) (neg.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) 3) (pow.f64 a 3)) (.f64 (hypot.f64 c d) (fma.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (-.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a) (.f64 a a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (.f64 a a))) (.f64 (hypot.f64 c d) (neg.f64 (-.f64 (.f64 b (/.f64 d (hypot.f64 c d))) a))))
(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (.f64 a a)) (*.f64 (hypot.f64 c d) (fma.f64 b (/.f64 d (hypot.f64 c d)) (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) 2) (.f64 a a)) (.f64 (hypot.f64 c d) (-.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 a 3))) (.f64 (hypot.f64 c d) (neg.f64 (+.f64 (.f64 a a) (.f64 (.f64 b (/.f64 d (hypot.f64 c d))) (-.f64 (.f64 b (/.f64 d (hypot.f64 c d))) a))))))
(/.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 a 3)) (.f64 (hypot.f64 c d) (fma.f64 a a (.f64 b (.f64 (/.f64 d (hypot.f64 c d)) (fma.f64 b (/.f64 d (hypot.f64 c d)) (neg.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) 3) (pow.f64 a 3)) (.f64 (hypot.f64 c d) (fma.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (-.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a) (.f64 a a))))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a)) (neg.f64 (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 b (/.f64 d (hypot.f64 c d)) a))
(*.f64 1 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d)))
(pow.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d)) 1)
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))) 2)
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))) 3)
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(pow.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d)) 3) 1/3)
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d)) 2))
(fabs.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d)))
(log.f64 (exp.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d)))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d)) 3))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) 3)))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) 3) (pow.f64 (hypot.f64 c d) 3)))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))) 1))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) a) (hypot.f64 c d))
(fma.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b (/.f64 d (hypot.f64 c d))) (/.f64 a (hypot.f64 c d)))
(fma.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 1 (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(fma.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(fma.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b (/.f64 d (hypot.f64 c d))) (/.f64 a (hypot.f64 c d)))
(fma.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 1 (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.1b	(*.f64 (/.f64 c d) (/.f64 a d))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (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 c d) (/.f64 a d))

Outputs

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1726×	`associate-+l+`
1408×	`associate-/r*`
1374×	`associate-/l*`
724×	`associate-+l-`
720×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1562
1	302	1562
2	1287	1562
3	5546	1562

Stop Event

1×	node limit

Counts

82 → 50

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.0b	(+.f64 (/.f64 a c) (/.f64 (.f64 b d) (.f64 c c)))
✓	9.2b	(/.f64 (.f64 b d) (.f64 c c))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series2.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`associate-/r/`
682×	`distribute-lft-neg-in`
616×	`distribute-rgt-in`
578×	`distribute-lft-in`
514×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	251	46
2	4201	46

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

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

Outputs

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simplify159.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-r`
840×	`associate-l`
712×	`*-commutative`
578×	`+-commutative`
524×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	495	10702
1	1557	9382
2	7327	9382

Stop Event

1×	node limit

Counts

246 → 261

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.0b	(/.f64 (/.f64 c d) (/.f64 d a))
✓	2.1b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
0.0ms	b	@	0	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
0.0ms	c	@	-inf	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
0.0ms	d	@	inf	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
0.0ms	d	@	0	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))

rewrite117.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-/r/`
1324×	`associate-/l/`
582×	`distribute-lft-in`
278×	`add-sqr-sqrt`
276×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

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

Outputs

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

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-r`
948×	`associate-l`
924×	`*-commutative`
794×	`associate-/r*`
774×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	11285
1	1820	10957

Stop Event

1×	node limit

Counts

275 → 286

Calls

Call 1

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

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

eval747.0ms (5.5%)

Compiler: Compiled 29772 to 11496 computations (61.4% saved)

prune378.0ms (2.8%)

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	1060	10	1070
Fresh	2	10	12
Picked	1	0	1
Done	1	8	9
Total	1064	28	1092

Error

Counts

1092 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	52.8b	(/.f64 (/.f64 c d) (/.f64 d a))
✓	27.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	53.3b	(/.f64 (+.f64 c (.f64 (/.f64 c (.f64 (/.f64 d c) b)) a)) (.f64 (/.f64 c (.f64 (/.f64 d c) b)) c))
	45.0b	(/.f64 (+.f64 a b) d)
	44.9b	(/.f64 (neg.f64 (-.f64 a b)) d)
	60.0b	(/.f64 (neg.f64 b) c)
	58.6b	(/.f64 (neg.f64 a) c)
	54.1b	(/.f64 c (/.f64 d (/.f64 a d)))
✓	38.2b	(/.f64 b d)
✓	60.0b	(/.f64 b c)
	54.9b	(/.f64 a (*.f64 (/.f64 d c) d))
✓	36.6b	(/.f64 a c)
	36.6b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
	30.3b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
	29.5b	(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
✓	32.1b	(+.f64 (/.f64 a c) (/.f64 (.f64 b d) (.f64 c c)))
	30.4b	(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 c d))))
✓	41.4b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	55.5b	(.f64 (/.f64 c (.f64 d d)) a)
✓	52.9b	(*.f64 (/.f64 c d) (/.f64 a d))
	55.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 d b) c))
✓	22.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	41.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (+.f64 (.f64 1/2 (/.f64 d c)) (/.f64 c d))) a))
	41.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (+.f64 (.f64 -1 (/.f64 c d)) (*.f64 -1/2 (/.f64 d c)))) a))
	33.6b	(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
	36.7b	(*.f64 (/.f64 1 c) a)
	55.0b	(*.f64 (/.f64 -1 c) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	54.1b	(*.f64 c (/.f64 (/.f64 a d) d))

Compiler

Compiled 381 to 241 computations (36.7% saved)

regimes454.0ms (3.4%)

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

155.0ms	a
114.0ms	c
94.0ms	d
57.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
24.0ms	b

Results

Error	Segments	Branch
8.9b	3	`a`
10.0b	1	`b`
2.0b	3	`c`
8.3b	3	`d`
6.3b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 556 to 182 computations (67.3% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	6.620643230619885e+91	1.7455002232676445e+93
34.0ms	-3.3138350776247544e+157	-1.3024437598791378e+148

Results

44.0ms

256×

body

256

valid

Compiler

Compiled 726 to 415 computations (42.8% saved)

regimes606.0ms (4.5%)

Counts

45 → 5

Calls

Call 1

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

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

Calls

5 calls:

175.0ms	d
161.0ms	c
128.0ms	a
62.0ms	b
53.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
12.4b	6	`a`
12.0b	3	`b`
5.5b	5	`c`
8.7b	5	`d`
6.4b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 510 to 171 computations (66.5% saved)

bsearch79.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	1.3728811837815231e+32	2.670071793823684e+39
20.0ms	3.108145852139145e-199	1.0348612623487849e-193
19.0ms	-1.8260602254527623e-141	-7.053523242015451e-147
22.0ms	-8.95502171402034e+159	-3.3138350776247544e+157

Results

65.0ms	560×	body	256	valid
3.0ms	31×	body	256	infinite

Compiler

Compiled 1287 to 735 computations (42.9% saved)

regimes530.0ms (3.9%)

Counts

42 → 4

Calls

Call 1

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

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

Calls

5 calls:

133.0ms	d
112.0ms	a
107.0ms	b
95.0ms	c
74.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
15.5b	5	`a`
17.6b	5	`b`
8.4b	4	`c`
10.4b	5	`d`
12.5b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 463 to 161 computations (65.2% saved)

bsearch53.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
23.0ms	1.9106718270089052e-234	1.1352018705861373e-222
11.0ms	-9.594987728681259e-67	-3.805755904478379e-67
19.0ms	-5.7992650215394905e+78	-1.3991611253024786e+71

Results

44.0ms	384×	body	256	valid
2.0ms	21×	body	256	infinite

Compiler

Compiled 890 to 545 computations (38.8% saved)

regimes510.0ms (3.8%)

Counts

41 → 5

Calls

Call 1

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

Outputs
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 b c) d) c))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (+.f64 (.f64 1/2 (/.f64 d c)) (/.f64 c d))) a))

Calls

5 calls:

198.0ms	b
94.0ms	a
94.0ms	c
67.0ms	d
47.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
20.2b	6	`a`
18.2b	12	`b`
9.5b	5	`c`
11.4b	4	`d`
16.2b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 448 to 158 computations (64.7% saved)

bsearch61.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	1.7455002232676445e+93	2.767866780087817e+125
11.0ms	2.8795788295315224e-123	3.058646604734193e-122
10.0ms	-9.594987728681259e-67	-3.805755904478379e-67
17.0ms	-5.7992650215394905e+78	-1.3991611253024786e+71

Results

53.0ms	496×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 1230 to 765 computations (37.8% saved)

regimes596.0ms (4.4%)

Counts

39 → 5

Calls

Call 1

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

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

Calls

5 calls:

242.0ms	b
132.0ms	a
114.0ms	c
60.0ms	d
41.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
20.2b	6	`a`
18.2b	12	`b`
9.5b	5	`c`
11.4b	4	`d`
16.2b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 408 to 140 computations (65.7% saved)

bsearch53.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	6.620643230619885e+91	1.7455002232676445e+93
12.0ms	2.8795788295315224e-123	3.058646604734193e-122
9.0ms	-9.594987728681259e-67	-3.805755904478379e-67
18.0ms	-5.7992650215394905e+78	-1.3991611253024786e+71

Results

46.0ms	432×	body	256	valid
1.0ms	13×	body	256	infinite

Compiler

Compiled 998 to 611 computations (38.8% saved)

regimes488.0ms (3.6%)

Counts

32 → 5

Calls

Call 1

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

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

Calls

4 calls:

261.0ms	b
96.0ms	d
86.0ms	a
39.0ms	c

Results

Error	Segments	Branch
22.7b	6	`a`
17.6b	14	`b`
13.7b	3	`c`
11.5b	5	`d`

Compiler

Compiled 291 to 95 computations (67.4% saved)

bsearch44.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
9.0ms	6.972375085645994e+76	1.5837817788801673e+77
10.0ms	3.272681429851252e+39	9.514426537788013e+39
15.0ms	2.5833474245217007e-67	3.5946842035215515e-65
10.0ms	-3.5808581241905945e+30	-1.0925376044010043e+30

Results

39.0ms	352×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 730 to 457 computations (37.4% saved)

regimes347.0ms (2.6%)

Counts

27 → 5

Calls

Call 1

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

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

Calls

4 calls:

127.0ms	b
123.0ms	a
57.0ms	d
35.0ms	c

Results

Error	Segments	Branch
21.3b	10	`a`
18.9b	11	`b`
13.8b	3	`c`
11.5b	5	`d`

Compiler

Compiled 234 to 83 computations (64.5% saved)

bsearch46.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
12.0ms	6.972375085645994e+76	1.5837817788801673e+77
10.0ms	3.272681429851252e+39	9.514426537788013e+39
15.0ms	2.5833474245217007e-67	3.5946842035215515e-65
9.0ms	-3.5808581241905945e+30	-1.0925376044010043e+30

Results

41.0ms	352×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 730 to 457 computations (37.4% saved)

regimes307.0ms (2.3%)

Counts

25 → 5

Calls

Call 1

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

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

Calls

4 calls:

114.0ms	b
98.0ms	a
58.0ms	d
32.0ms	c

Results

Error	Segments	Branch
21.4b	10	`a`
18.9b	11	`b`
13.8b	3	`c`
11.5b	5	`d`

Compiler

Compiled 212 to 79 computations (62.7% saved)

bsearch42.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
10.0ms	6.972375085645994e+76	1.5837817788801673e+77
9.0ms	3.272681429851252e+39	9.514426537788013e+39
13.0ms	2.5833474245217007e-67	3.5946842035215515e-65
10.0ms	-3.5808581241905945e+30	-1.0925376044010043e+30

Results

37.0ms	352×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 730 to 457 computations (37.4% saved)

regimes430.0ms (3.2%)

Counts

24 → 5

Calls

Call 1

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

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

Calls

4 calls:

174.0ms	a
171.0ms	b
51.0ms	d
30.0ms	c

Results

Error	Segments	Branch
21.1b	11	`a`
19.0b	11	`b`
13.9b	3	`c`
11.6b	5	`d`

Compiler

Compiled 201 to 78 computations (61.2% saved)

bsearch42.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
9.0ms	6.972375085645994e+76	1.5837817788801673e+77
10.0ms	3.272681429851252e+39	9.514426537788013e+39
14.0ms	2.5833474245217007e-67	3.5946842035215515e-65
9.0ms	-3.5808581241905945e+30	-1.0925376044010043e+30

Results

36.0ms	352×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 730 to 479 computations (34.4% saved)

regimes377.0ms (2.8%)

Counts

21 → 5

Calls

Call 1

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

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

Calls

4 calls:

132.0ms	a
121.0ms	b
71.0ms	d
49.0ms	c

Results

Error	Segments	Branch
21.7b	11	`a`
19.6b	11	`b`
14.3b	3	`c`
12.3b	5	`d`

Compiler

Compiled 168 to 70 computations (58.3% saved)

bsearch47.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
10.0ms	6.972375085645994e+76	1.5837817788801673e+77
9.0ms	3.272681429851252e+39	9.514426537788013e+39
15.0ms	2.5833474245217007e-67	3.5946842035215515e-65
13.0ms	-3.5808581241905945e+30	-1.0925376044010043e+30

Results

42.0ms	352×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 730 to 479 computations (34.4% saved)

regimes155.0ms (1.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

52.0ms	b
47.0ms	a
27.0ms	d
25.0ms	c

Results

Error	Segments	Branch
26.0b	6	`a`
26.0b	6	`b`
17.4b	3	`c`
18.5b	3	`d`

Compiler

Compiled 135 to 62 computations (54.1% saved)

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	2.767866780087817e+125	1.9619523167403368e+126
10.0ms	-2.0729026364365573e+54	-9.330583133299138e+53

Results

20.0ms

176×

body

256

valid

Compiler

Compiled 290 to 204 computations (29.7% saved)

regimes146.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	a
44.0ms	b
30.0ms	d
22.0ms	c

Results

Error	Segments	Branch
27.9b	5	`a`
28.1b	6	`b`
21.3b	3	`c`
22.0b	3	`d`

Compiler

Compiled 113 to 53 computations (53.1% saved)

bsearch21.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.767866780087817e+125	1.9619523167403368e+126
7.0ms	-0.4687113908913018	-0.2529673026690001

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 186 to 137 computations (26.3% saved)

regimes16.0ms (0.1%)

Accuracy

Total -23.8b remaining (-65.1%)

Threshold costs -23.8b (-65.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 a c)

Calls

4 calls:

6.0ms	d
3.0ms	a
3.0ms	c
3.0ms	b

Results

Error	Segments	Branch
36.6b	1	`a`
36.6b	1	`b`
36.6b	1	`c`
36.6b	1	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
26×	`*-commutative`
24×	`not-or`
22×	`if-if-or-not`
18×	`if-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	1993
1	219	1921
2	228	1849
3	245	1837
4	255	1837
5	267	1837
6	270	1837
7	273	1837

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -85000000000000005094283874391540577779960424156619040183931595220790567141097021973898767881309588684096894224937941899501522606114860220794901813526528) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 c 329999999999999973787276768563663005935952044193372224246790717506721134443440363841041465344) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d)))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))))
(if (<=.f64 c -145000000000000012067848333535615175039561442297005837446889129154007145714400295231786713440253593697927457981404196142192818825914975255198089312895871483904) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 c -439347050248359/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 6943379390043853/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 120000000000000008632251347034389348352) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))))))
(if (<=.f64 c -520000000000000037326774291942766390696796011938365619920116846077051658043392) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c -1479767320250067/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 7293140785962341/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -4200000000000000159086051820587205661447942375116082460464186153870236755951616) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c -1479767320250067/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 2698025344585293/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 419999999999999979194320714588425015536366747736578735100685757615794732767064815246881373772120887730091925176320) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (+.f64 (*.f64 1/2 (/.f64 d c)) (/.f64 c d))) a))))))
(if (<=.f64 c -5499999999999999738182813387567233464762062855789963703159520258569158604619776) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c -1479767320250067/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 7889398248994235/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 510000000000000027912025918921594668556598846159884441677303865843447776546616566975731597312) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c))))))
(if (<=.f64 d -1900000000000000065928284864512) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 8299976956530825/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 7000000000000000333542801860365484294144) (+.f64 (/.f64 b d) (/.f64 c (.f64 (/.f64 d a) d))) (if (<=.f64 d 110000000000000001962738706031621103723231430804207733362659817318295074242560) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))))))
(if (<=.f64 d -1249999999999999954487036870656) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 8299976956530825/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 4499999999999999955364839849957273894912) (+.f64 (/.f64 b d) (/.f64 c (.f64 (/.f64 d a) d))) (if (<=.f64 d 111999999999999994986331580283874830516910144784665608417822386580986248822784) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))))))
(if (<=.f64 d -1099999999999999993725589651456) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 8299976956530825/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 3799999999999999801117977702457807994880) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d 70000000000000000080333326195402320156993025172741210305544979178702076116992) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))))))
(if (<=.f64 d -1950000000000000052848767270912) (.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b)) (if (<=.f64 d 8299976956530825/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 7500000000000000530070976223910043844608) (.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b)) (if (<=.f64 d 84000000000000002667500862248867225055530977953149616402178765066911027822592) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))))))
(if (<=.f64 d -1199999999999999967566554464256) (.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b)) (if (<=.f64 d 8299976956530825/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 d 5499999999999999743958278769731805642752) (.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b)) (if (<=.f64 d 70000000000000000080333326195402320156993025172741210305544979178702076116992) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))))))
(if (<=.f64 c -1800000000000000072868299344085546223474727053441368064) (/.f64 a c) (if (<=.f64 c 295000000000000004139666604669832354912860590641852052732216209579644340914517824008674311943645774650130149141437855981109248) (.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b)) (/.f64 a c)))
(if (<=.f64 c -8286623314361713/18014398509481984) (/.f64 a c) (if (<=.f64 c 280000000000000009024318312823072288897859482457268719611719898249576721046546483061161299720577019385775595680862947847962624) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Outputs
(if (<=.f64 c -85000000000000005094283874391540577779960424156619040183931595220790567141097021973898767881309588684096894224937941899501522606114860220794901813526528) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 c 329999999999999973787276768563663005935952044193372224246790717506721134443440363841041465344) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d)))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))))
(if (<=.f64 c -85000000000000005094283874391540577779960424156619040183931595220790567141097021973898767881309588684096894224937941899501522606114860220794901813526528) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 c 329999999999999973787276768563663005935952044193372224246790717506721134443440363841041465344) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d)))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 (hypot.f64 c d) d))))))
(if (<=.f64 c -145000000000000012067848333535615175039561442297005837446889129154007145714400295231786713440253593697927457981404196142192818825914975255198089312895871483904) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 c -439347050248359/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 6943379390043853/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 120000000000000008632251347034389348352) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))))))
(if (<=.f64 c -145000000000000012067848333535615175039561442297005837446889129154007145714400295231786713440253593697927457981404196142192818825914975255198089312895871483904) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 c -439347050248359/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 6943379390043853/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (if (<=.f64 c 120000000000000008632251347034389348352) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 (hypot.f64 c d) d))))))))
(if (<=.f64 c -520000000000000037326774291942766390696796011938365619920116846077051658043392) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 b c) d) c)) (if (<=.f64 c -1479767320250067/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 7293140785962341/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
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(if (<=.f64 c -8286623314361713/18014398509481984) (/.f64 a c) (if (<=.f64 c 280000000000000009024318312823072288897859482457268719611719898249576721046546483061161299720577019385775595680862947847962624) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Compiler

Compiled 725 to 364 computations (49.8% saved)

soundness231.0ms (1.7%)

Algorithm

3×	egg-herbie

Rules

1550×	`associate-/r*`
1550×	`associate-/r*`
1350×	`associate-r`
1350×	`associate-r`
1084×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	464	9301
1	1358	8677
2	7167	8677
0	852	23449
1	2398	21529
0	852	23449
1	2398	21529

Stop Event

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

Compiler

Compiled 235 to 81 computations (65.5% saved)

end132.0ms (1%)

Compiler: Compiled 677 to 202 computations (70.2% saved)