Details

analyze367.0ms (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)

sample979.0ms (7.2%)

Results

915.0ms	8256×	body	256	valid
53.0ms	486×	body	256	infinite

Bogosity

preprocess14.0ms (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)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

59.9%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	59.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize13.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.0%	(+.f64 (.f64 a c) (.f64 b d))
✓	60.5%	(/.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)))

rewrite82.0ms (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))))))

simplify135.0ms (1%)

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))

localize12.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	60.5%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	242	33
2	3050	33

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

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

Outputs

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-*r/`
1274×	`associate-/l*`
960×	`associate-*l/`
838×	`unswap-sqr`
820×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	4905
1	567	4663
2	2166	4645

Stop Event

1×	node limit

Counts

103 → 111

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

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

eval95.0ms (0.7%)

Compiler: Compiled 7611 to 2541 computations (66.6% saved)

prune73.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	288	12	300
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	289	13	302

Accurracy

99.9%

Counts

302 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.9%	(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
✓	59.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	38.2%	(/.f64 (.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 c c) (*.f64 d d)))
	35.9%	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
▶	35.9%	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	39.3%	(/.f64 b d)
▶	42.5%	(/.f64 a c)
	49.1%	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
▶	45.8%	(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
	50.7%	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
▶	49.2%	(+.f64 (/.f64 a c) (*.f64 b (/.f64 (/.f64 d c) c)))
	72.9%	(.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)))
▶	73.8%	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 423 to 245 computations (42.1% saved)

localize16.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (hypot.f64 c d))
✓	99.6%	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	75.6%	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series11.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite107.0ms (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 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d))))))))

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

simplify167.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	852	23449
1	2398	21529

Stop Event

1×	node limit

Counts

423 → 552

Calls

Call 1

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

localize4.0ms (0%)

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

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 d c) c)
✓	97.9%	(+.f64 (/.f64 a c) (*.f64 b (/.f64 (/.f64 d c) c)))
✓	89.4%	(*.f64 b (/.f64 (/.f64 d c) c))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series9.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`associate-/r/`
616×	`distribute-lft-neg-in`
576×	`distribute-rgt-neg-in`
572×	`associate-/l/`
542×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	244	59
2	3663	59

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

simplify106.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

672×	`distribute-lft-neg-in`
604×	`distribute-rgt-neg-in`
500×	`associate-r`
498×	`associate-*r/`
452×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	8144
1	1111	7222
2	4834	7210

Stop Event

1×	node limit

Counts

250 → 208

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

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

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	96.6%	(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
✓	92.9%	(.f64 a (/.f64 c (.f64 d d)))
✓	90.5%	(/.f64 c (*.f64 d d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series7.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`associate-/l*`
544×	`distribute-lft-neg-in`
542×	`distribute-rgt-in`
508×	`distribute-lft-in`
504×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	243	59
2	3647	59

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

650×	`distribute-lft-neg-in`
604×	`distribute-rgt-neg-in`
568×	`associate-r`
496×	`+-commutative`
448×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	8341
1	1089	7855
2	4948	7845

Stop Event

1×	node limit

Counts

247 → 217

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	89.9%	(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
✓	80.1%	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`associate-/l*`
970×	`associate-/r/`
604×	`associate-/l/`
582×	`distribute-rgt-in`
548×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	223	44
2	3316	44

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

736×	`distribute-lft-neg-in`
672×	`distribute-lft-neg-out`
652×	`distribute-rgt-neg-out`
628×	`distribute-rgt-neg-in`
586×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	7813
1	1254	7499
2	5231	7223

Stop Event

1×	node limit

Counts

213 → 220

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

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

eval360.0ms (2.6%)

Compiler: Compiled 28797 to 9732 computations (66.2% saved)

prune319.0ms (2.3%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1185	12	1197
Fresh	3	4	7
Picked	0	1	1
Done	3	2	5
Total	1191	19	1210

Accurracy

99.9%

Counts

1210 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(fma.f64 b (/.f64 1 d) (*.f64 (/.f64 c d) (/.f64 a d)))
	59.9%	(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
▶	74.0%	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	73.8%	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
▶	35.9%	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
✓	35.9%	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	24.3%	(/.f64 c (/.f64 (*.f64 c c) a))
	17.1%	(/.f64 c (/.f64 d (/.f64 a d)))
▶	39.3%	(/.f64 b d)
✓	42.5%	(/.f64 a c)
	49.3%	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
	49.8%	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
✓	45.8%	(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
	50.7%	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
▶	57.5%	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	17.9%	(*.f64 (/.f64 a d) (/.f64 c d))
	23.2%	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	27.3%	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
▶	50.8%	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))

Compiler

Compiled 483 to 297 computations (38.5% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	75.6%	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 44 to 9 computations (79.5% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`associate-*r/`
1536×	`associate-/r*`
1352×	`associate-/l*`
1330×	`associate-*l/`
258×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	248	33
2	3245	33

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate-*r/`
1064×	`associate-/l*`
1048×	`times-frac`
880×	`associate-+r-`
740×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	3971
1	390	3749
2	1458	3587
3	7273	3581

Stop Event

1×	node limit

Counts

85 → 85

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

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

localize4.0ms (0%)

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

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 b (/.f64 d c)) a)
✓	97.5%	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
✓	93.8%	(*.f64 b (/.f64 d c))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series11.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
0.0ms	c	@	-inf	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
0.0ms	b	@	inf	(*.f64 b (/.f64 d c))
0.0ms	b	@	0	(*.f64 b (/.f64 d c))
0.0ms	d	@	inf	(*.f64 b (/.f64 d c))

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`associate-/r*`
1154×	`associate-/l*`
676×	`distribute-rgt-in`
638×	`distribute-lft-in`
392×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	261	49
2	3655	49

Stop Event

1×	node limit

Counts

3 → 291

Calls

Call 1

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

Outputs

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

simplify161.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1796×	`associate-/l*`
1436×	`associate-/l/`
960×	`associate-/r*`
768×	`associate-r`
664×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	711	17983
1	1902	17585

Stop Event

1×	node limit

Counts

423 → 444

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	89.6%	(/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)
✓	85.3%	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`associate-/l*`
988×	`associate-/r/`
622×	`associate-/l/`
582×	`distribute-rgt-in`
548×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	223	44
2	3310	44

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

simplify160.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

736×	`distribute-lft-neg-in`
682×	`distribute-lft-neg-out`
678×	`distribute-rgt-neg-out`
616×	`distribute-rgt-neg-in`
580×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	8089
1	1272	7701
2	5211	7403

Stop Event

1×	node limit

Counts

213 → 243

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 c (hypot.f64 c d))
✓	100.0%	(/.f64 a (hypot.f64 c d))
✓	98.7%	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series12.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 286

Calls

Call 1

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

Outputs

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

simplify204.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	974	17036
1	2902	16924

Stop Event

1×	node limit

Counts

382 → 561

Calls

Call 1

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

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

eval407.0ms (3%)

Compiler: Compiled 32858 to 12636 computations (61.5% saved)

prune780.0ms (5.7%)

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	1435	11	1446
Fresh	4	7	11
Picked	0	1	1
Done	1	6	7
Total	1440	25	1465

Accurracy

100.0%

Counts

1465 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(fma.f64 b (/.f64 1 d) (*.f64 (/.f64 c d) (/.f64 a d)))
▶	73.8%	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
	34.4%	(/.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) 2))
	13.6%	(/.f64 (.f64 d b) (.f64 c c))
▶	23.2%	(/.f64 (neg.f64 b) (hypot.f64 c d))
✓	35.9%	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	15.2%	(/.f64 d (/.f64 c (/.f64 b c)))
✓	35.9%	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	17.1%	(/.f64 c (/.f64 d (/.f64 a d)))
✓	39.3%	(/.f64 b d)
	27.4%	(/.f64 a (hypot.f64 c d))
✓	42.5%	(/.f64 a c)
	47.7%	(+.f64 (/.f64 (.f64 d b) (.f64 c c)) (/.f64 a c))
	49.3%	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
▶	49.8%	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
✓	45.8%	(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
	53.2%	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
✓	57.5%	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
▶	14.5%	(.f64 (/.f64 c (.f64 d d)) a)
	16.3%	(*.f64 (/.f64 b c) (/.f64 d c))
	17.9%	(*.f64 (/.f64 a d) (/.f64 c d))
	23.2%	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
✓	50.8%	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
▶	42.4%	(*.f64 (/.f64 1 c) a)
	13.5%	(.f64 d (/.f64 b (.f64 c c)))

Compiler

Compiled 541 to 341 computations (37% saved)

localize14.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(/.f64 1 (hypot.f64 c d))
✓	99.5%	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
✓	75.6%	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series10.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`associate-/l*`
798×	`associate-/r/`
694×	`associate-/l/`
464×	`distribute-rgt-in`
426×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	291	60
2	3813	60

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

simplify202.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1220×	`times-frac`
956×	`associate-/l*`
898×	`associate-/r*`
820×	`associate-r`
730×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	499	13049
1	1622	11573

Stop Event

1×	node limit

Counts

219 → 271

Calls

Call 1

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

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

localize6.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 1 c) a)

Compiler

Compiled 15 to 10 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 21

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	92.9%	(.f64 (/.f64 c (.f64 d d)) a)
	90.5%	(/.f64 c (*.f64 d d))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`add-sqr-sqrt`
1778×	`*-un-lft-identity`
1656×	`add-cube-cbrt`
1630×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	167	19
2	2298	19

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-r`
1040×	`associate-/r/`
962×	`associate-l`
914×	`associate-+r+`
820×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	1183
1	194	1183
2	685	1183
3	3741	1183

Stop Event

1×	node limit

Counts

61 → 33

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

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

localize11.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	98.0%	(/.f64 (*.f64 (/.f64 c d) a) d)
✓	96.6%	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
✓	94.0%	(*.f64 (/.f64 c d) a)

Compiler

Compiled 37 to 9 computations (75.7% saved)

series4.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`associate-/r/`
844×	`associate-/l/`
654×	`distribute-lft-neg-in`
586×	`distribute-rgt-in`
554×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	249	63
2	3964	63

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

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

Outputs

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

simplify171.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1114×	`associate-r`
932×	`associate-l`
734×	`*-commutative`
698×	`associate-*r/`
616×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	520	10870
1	1647	9570

Stop Event

1×	node limit

Counts

304 → 276

Calls

Call 1

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

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

localize43.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (neg.f64 b) (hypot.f64 c d))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`add-sqr-sqrt`
1668×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1522×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	187	13
2	2478	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1774×	`associate-/l*`
1064×	`associate-*r/`
964×	`associate-/r*`
910×	`*-commutative`
666×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3019
1	664	2901
2	2687	2773

Stop Event

1×	node limit

Counts

73 → 120

Calls

Call 1

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

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

eval453.0ms (3.3%)

Compiler: Compiled 20686 to 8091 computations (60.9% saved)

prune249.0ms (1.8%)

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	834	8	842
Fresh	3	10	13
Picked	0	1	1
Done	2	9	11
Total	839	28	867

Accurracy

100.0%

Counts

867 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.7%	(/.f64 (/.f64 (.f64 d (+.f64 (.f64 (/.f64 c d) a) b)) d) d)
	40.6%	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (*.f64 b d)))
	16.8%	(/.f64 (+.f64 d (.f64 (.f64 (/.f64 d a) (/.f64 d c)) b)) (.f64 (.f64 (/.f64 d a) (/.f64 d c)) d))
	18.3%	(/.f64 (*.f64 (/.f64 c d) a) d)
	34.4%	(/.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) 2))
	13.6%	(/.f64 (.f64 d b) (.f64 c c))
✓	23.2%	(/.f64 (neg.f64 b) (hypot.f64 c d))
	7.1%	(/.f64 (neg.f64 b) d)
	5.3%	(/.f64 (neg.f64 b) c)
✓	35.9%	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	15.2%	(/.f64 d (/.f64 c (/.f64 b c)))
✓	35.9%	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
	17.1%	(/.f64 c (/.f64 d (/.f64 a d)))
✓	39.3%	(/.f64 b d)
	5.7%	(/.f64 b c)
	27.4%	(/.f64 a (hypot.f64 c d))
✓	42.5%	(/.f64 a c)
	47.7%	(+.f64 (/.f64 (.f64 d b) (.f64 c c)) (/.f64 a c))
✓	49.8%	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
✓	45.8%	(+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))
	53.2%	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
✓	57.5%	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	16.3%	(*.f64 (/.f64 b c) (/.f64 d c))
	23.2%	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
✓	50.8%	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
✓	42.4%	(*.f64 (/.f64 1 c) a)
	13.5%	(.f64 d (/.f64 b (.f64 c c)))
	16.5%	(*.f64 a (/.f64 (/.f64 c d) d))

Compiler

Compiled 346 to 216 computations (37.6% saved)

regimes653.0ms (4.8%)

Counts

45 → 7

Calls

Call 1

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

Calls

5 calls:

184.0ms	b
147.0ms	d
136.0ms	c
134.0ms	a
41.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
83.6%	5	`a`
86.5%	6	`b`
86.3%	5	`c`
90.3%	7	`d`
88.1%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 501 to 158 computations (68.5% saved)

bsearch150.0ms (1.1%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	1.4601597811742556e+154	1.35521337305885e+159
17.0ms	8.250912793454285e-31	1.9729750718515673e-26
22.0ms	1.9124301353995542e-120	4.915175721621534e-110
14.0ms	1.520553411540819e-150	2.051593201637096e-149
13.0ms	-1.5464449259206158e-29	-1.6145283900198763e-30
43.0ms	-1.3504386034294886e+82	-1.0600810145794726e+76

Results

137.0ms	768×	body	256	valid
3.0ms	30×	body	256	infinite

Compiler

Compiled 1706 to 971 computations (43.1% saved)

regimes573.0ms (4.2%)

Counts

41 → 5

Calls

Call 1

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

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

Calls

5 calls:

129.0ms	c
125.0ms	b
120.0ms	d
101.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
89.0ms	a

Results

Accuracy	Segments	Branch
75.3%	4	`a`
82.3%	7	`b`
81.7%	4	`c`
86.4%	5	`d`
82.3%	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 430 to 143 computations (66.7% saved)

bsearch68.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.4815307181020775e+123	1.6912044875492285e+131
19.0ms	7.050089271377489e-44	1.9251699302599312e-38
12.0ms	-1.5464449259206158e-29	-1.6145283900198763e-30
18.0ms	-1.3504386034294886e+82	-1.0600810145794726e+76

Results

61.0ms	528×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 1169 to 743 computations (36.4% saved)

regimes498.0ms (3.6%)

Counts

40 → 5

Calls

Call 1

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

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

Calls

5 calls:

145.0ms	b
136.0ms	a
84.0ms	d
65.0ms	c
59.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
75.3%	4	`a`
82.3%	7	`b`
81.7%	4	`c`
86.4%	5	`d`
82.3%	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 418 to 138 computations (67% saved)

bsearch71.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.4815307181020775e+123	1.6912044875492285e+131
18.0ms	7.050089271377489e-44	1.9251699302599312e-38
12.0ms	-1.5464449259206158e-29	-1.6145283900198763e-30
20.0ms	-1.3504386034294886e+82	-1.0600810145794726e+76

Results

63.0ms	528×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 1214 to 758 computations (37.6% saved)

regimes670.0ms (4.9%)

Counts

27 → 5

Calls

Call 1

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

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

Calls

4 calls:

299.0ms	b
169.0ms	a
102.0ms	d
95.0ms	c

Results

Accuracy	Segments	Branch
66.1%	11	`a`
69.7%	12	`b`
77.7%	3	`c`
82.7%	5	`d`

Compiler

Compiled 239 to 78 computations (67.4% saved)

bsearch61.0ms (0.4%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2757246220868082e-32	2.4571137517046625e-31
12.0ms	-1.5464449259206158e-29	-1.6145283900198763e-30
18.0ms	-266.4603611903341	-2.8049990797234166e-5
16.0ms	-1.9609095019726992e+31	-5.2984922200467085e+28

Results

54.0ms	480×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 986 to 630 computations (36.1% saved)

regimes334.0ms (2.4%)

Counts

23 → 5

Calls

Call 1

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

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

Calls

4 calls:

112.0ms	b
112.0ms	a
67.0ms	d
39.0ms	c

Results

Accuracy	Segments	Branch
63.8%	10	`a`
67.8%	9	`b`
77.7%	3	`c`
82.6%	5	`d`

Compiler

Compiled 193 to 68 computations (64.8% saved)

bsearch63.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2757246220868082e-32	2.4571137517046625e-31
14.0ms	-1.5464449259206158e-29	-1.6145283900198763e-30
17.0ms	-266.4603611903341	-2.8049990797234166e-5
18.0ms	-1.9609095019726992e+31	-5.2984922200467085e+28

Results

57.0ms	480×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 986 to 630 computations (36.1% saved)

regimes280.0ms (2%)

Counts

21 → 5

Calls

Call 1

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

Calls

4 calls:

109.0ms	a
79.0ms	b
49.0ms	d
39.0ms	c

Results

Accuracy	Segments	Branch
65.3%	11	`a`
66.0%	7	`b`
76.9%	3	`c`
82.3%	5	`d`

Compiler

Compiled 171 to 64 computations (62.6% saved)

bsearch59.0ms (0.4%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2757246220868082e-32	2.4571137517046625e-31
11.0ms	-1.5464449259206158e-29	-1.6145283900198763e-30
18.0ms	-266.4603611903341	-2.8049990797234166e-5
15.0ms	-1.9609095019726992e+31	-5.2984922200467085e+28

Results

53.0ms	480×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 986 to 630 computations (36.1% saved)

regimes222.0ms (1.6%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

4 calls:

81.0ms	a
56.0ms	b
43.0ms	d
38.0ms	c

Results

Accuracy	Segments	Branch
61.7%	9	`a`
63.0%	5	`b`
76.1%	3	`c`
79.1%	5	`d`

Compiler

Compiled 160 to 63 computations (60.6% saved)

bsearch57.0ms (0.4%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2757246220868082e-32	2.4571137517046625e-31
11.0ms	-1.5464449259206158e-29	-1.6145283900198763e-30
16.0ms	-266.4603611903341	-2.8049990797234166e-5
15.0ms	-1.9609095019726992e+31	-5.2984922200467085e+28

Results

50.0ms	480×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 986 to 630 computations (36.1% saved)

regimes184.0ms (1.3%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	a
47.0ms	b
32.0ms	d
32.0ms	c

Results

Accuracy	Segments	Branch
60.2%	9	`a`
61.2%	5	`b`
70.3%	3	`c`
74.3%	3	`d`

Compiler

Compiled 149 to 61 computations (59.1% saved)

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.250912793454285e-31	1.9729750718515673e-26
13.0ms	-1.0600810145794726e+76	-1.8060899769685216e+74

Results

26.0ms

240×

body

256

valid

Compiler

Compiled 386 to 272 computations (29.5% saved)

regimes246.0ms (1.8%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	b
74.0ms	a
67.0ms	d
27.0ms	c

Results

Accuracy	Segments	Branch
55.4%	10	`a`
58.0%	5	`b`
63.3%	3	`c`
71.6%	7	`d`

Compiler

Compiled 116 to 52 computations (55.2% saved)

bsearch79.0ms (0.6%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.250912793454285e-31	1.9729750718515673e-26
14.0ms	-2.0322714460827205e-89	-2.004609639375897e-91
6.0ms	-1.6145283900198763e-30	-1.2517871880517672e-30
12.0ms	-1.0418089254750398e+33	-1.2434921194559544e+32
16.0ms	-1.4539246429693652e+43	-1.3461060702582855e+34
16.0ms	-1.3504386034294886e+82	-1.0600810145794726e+76

Results

71.0ms	672×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 810 to 577 computations (28.8% saved)

regimes263.0ms (1.9%)

Counts

15 → 7

Calls

Call 1

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

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

Calls

4 calls:

116.0ms	a
83.0ms	d
33.0ms	b
27.0ms	c

Results

Accuracy	Segments	Branch
55.4%	10	`a`
58.0%	5	`b`
63.3%	3	`c`
71.6%	7	`d`

Compiler

Compiled 109 to 50 computations (54.1% saved)

bsearch80.0ms (0.6%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.250912793454285e-31	1.9729750718515673e-26
15.0ms	-2.0322714460827205e-89	-2.004609639375897e-91
6.0ms	-1.6145283900198763e-30	-1.2517871880517672e-30
11.0ms	-1.0418089254750398e+33	-1.2434921194559544e+32
16.0ms	-1.4539246429693652e+43	-1.3461060702582855e+34
17.0ms	-1.3504386034294886e+82	-1.0600810145794726e+76

Results

72.0ms	672×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 810 to 577 computations (28.8% saved)

regimes175.0ms (1.3%)

Counts

13 → 7

Calls

Call 1

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

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

Calls

4 calls:

52.0ms	b
48.0ms	d
48.0ms	a
25.0ms	c

Results

Accuracy	Segments	Branch
53.9%	7	`a`
58.0%	5	`b`
63.3%	3	`c`
71.6%	7	`d`

Compiler

Compiled 95 to 46 computations (51.6% saved)

bsearch82.0ms (0.6%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.250912793454285e-31	1.9729750718515673e-26
17.0ms	-2.0322714460827205e-89	-2.004609639375897e-91
6.0ms	-1.6145283900198763e-30	-1.2517871880517672e-30
11.0ms	-1.0418089254750398e+33	-1.2434921194559544e+32
16.0ms	-1.4539246429693652e+43	-1.3461060702582855e+34
16.0ms	-1.3504386034294886e+82	-1.0600810145794726e+76

Results

73.0ms	672×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 810 to 577 computations (28.8% saved)

regimes130.0ms (1%)

Counts

9 → 9

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	d
37.0ms	a
28.0ms	b
21.0ms	c

Results

Accuracy	Segments	Branch
53.9%	7	`a`
58.0%	5	`b`
63.3%	3	`c`
72.7%	9	`d`

Compiler

Compiled 67 to 37 computations (44.8% saved)

bsearch112.0ms (0.8%)

Algorithm

8×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.250912793454285e-31	1.9729750718515673e-26
14.0ms	-2.0322714460827205e-89	-2.004609639375897e-91
6.0ms	-1.6145283900198763e-30	-1.2517871880517672e-30
12.0ms	-1.5464449259206158e-29	-1.6145283900198763e-30
16.0ms	-266.4603611903341	-2.8049990797234166e-5
11.0ms	-1.0418089254750398e+33	-1.2434921194559544e+32
20.0ms	-1.4539246429693652e+43	-1.3461060702582855e+34
17.0ms	-1.3504386034294886e+82	-1.0600810145794726e+76

Results

101.0ms	912×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 1050 to 757 computations (27.9% saved)

regimes125.0ms (0.9%)

Counts

8 → 9

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	a
41.0ms	d
23.0ms	b
18.0ms	c

Results

Accuracy	Segments	Branch
53.9%	7	`a`
58.0%	5	`b`
63.3%	3	`c`
72.3%	9	`d`

Compiler

Compiled 60 to 35 computations (41.7% saved)

bsearch111.0ms (0.8%)

Algorithm

8×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.250912793454285e-31	1.9729750718515673e-26
16.0ms	-2.0322714460827205e-89	-2.004609639375897e-91
6.0ms	-1.6145283900198763e-30	-1.2517871880517672e-30
11.0ms	-1.5464449259206158e-29	-1.6145283900198763e-30
18.0ms	-266.4603611903341	-2.8049990797234166e-5
11.0ms	-1.0418089254750398e+33	-1.2434921194559544e+32
18.0ms	-1.4539246429693652e+43	-1.3461060702582855e+34
17.0ms	-1.3504386034294886e+82	-1.0600810145794726e+76

Results

100.0ms	912×	body	256	valid
1.0ms	14×	body	256	infinite

Compiler

Compiled 1050 to 757 computations (27.9% saved)

regimes102.0ms (0.7%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	a
26.0ms	d
22.0ms	b
17.0ms	c

Results

Accuracy	Segments	Branch
53.9%	7	`a`
58.0%	5	`b`
63.3%	3	`c`
69.4%	5	`d`

Compiler

Compiled 53 to 32 computations (39.6% saved)

bsearch63.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.250912793454285e-31	1.9729750718515673e-26
11.0ms	-1.0418089254750398e+33	-1.2434921194559544e+32
16.0ms	-1.4539246429693652e+43	-1.3461060702582855e+34
17.0ms	-1.3504386034294886e+82	-1.0600810145794726e+76

Results

57.0ms	512×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 610 to 437 computations (28.4% saved)

regimes84.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	a
19.0ms	b
15.0ms	d
15.0ms	c

Results

Accuracy	Segments	Branch
53.9%	7	`a`
58.0%	5	`b`
63.3%	3	`c`
67.6%	3	`d`

Compiler

Compiled 46 to 29 computations (37% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.250912793454285e-31	1.9729750718515673e-26
13.0ms	-1.0600810145794726e+76	-1.8060899769685216e+74

Results

26.0ms	240×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 266 to 197 computations (25.9% saved)

regimes12.0ms (0.1%)

Accuracy

Total -24.3b remaining (-66.1%)

Threshold costs -24.3b (-66.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 a c)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
42.5%	1	`a`
42.5%	1	`b`
42.5%	1	`c`
42.5%	1	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
18×	`+-commutative`
8×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	2346
1	286	2346

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 d -11999999999999999897880892096446886486570260458073664772880741893869659815646593024) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -1177479346482417/713623846352979940529142984724747568191373312) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 6092291808370931/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 606580269400033/713623846352979940529142984724747568191373312) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (if (<=.f64 d 75999999999999996258324359919852404996483069066417972267080087570783627002474386082268746586309736611620693136156726290445726527070975277032948866834497536) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d))))))))
(if (<=.f64 d -13499999999999999674491420271388373901555487647992008231700643829505144783980462080) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -6565339386447415/2854495385411919762116571938898990272765493248) (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) (if (<=.f64 d 2259756624739205/25108406941546723055343157692830665664409421777856138051584) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 2599999999999999853975574447631991096295236794146657574631321054860482204790172271344614611190103212491657117955647147606016) (/.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)))))))
(if (<=.f64 d -350000000000000013257170985048933805120661864593006871705348846155853062995968) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -749305038670629/178405961588244985132285746181186892047843328) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 4750736176684255/766247770432944429179173513575154591809369561091801088) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144) (/.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)))))))
(if (<=.f64 d -9999999999999999635896294965248) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -5902958103587057/73786976294838206464) (+.f64 (/.f64 (.f64 d b) (.f64 c c)) (/.f64 a c)) (if (<=.f64 d -1248841731117715/89202980794122492566142873090593446023921664) (+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d)))) (if (<=.f64 d 4453012801242595/22835963083295358096932575511191922182123945984) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d))))))
(if (<=.f64 d -15600000000000000422790138167296) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -7932099951695107/36893488147419103232) (+.f64 (/.f64 a c) (.f64 b (/.f64 (/.f64 d c) c))) (if (<=.f64 d -2676089423823675/178405961588244985132285746181186892047843328) (+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d)))) (if (<=.f64 d 959110449498405/5708990770823839524233143877797980545530986496) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))))))
(if (<=.f64 d -1850000000000000079007802458112) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -5404319552844595/36028797018963968) (+.f64 (/.f64 a c) (.f64 b (/.f64 (/.f64 d c) c))) (if (<=.f64 d -2676089423823675/178405961588244985132285746181186892047843328) (+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d)))) (if (<=.f64 d 2740315569995443/11417981541647679048466287755595961091061972992) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))))))
(if (<=.f64 d -169999999999999990714012270592) (+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d)))) (if (<=.f64 d -3/4) (+.f64 (/.f64 a c) (.f64 b (/.f64 (/.f64 d c) c))) (if (<=.f64 d -7136238463529799/1427247692705959881058285969449495136382746624) (+.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d)))) (if (<=.f64 d 2740315569995443/11417981541647679048466287755595961091061972992) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (+.f64 (/.f64 b d) (.f64 a (/.f64 c (*.f64 d d))))))))
(if (<=.f64 d -2099999999999999986340619343272166849290169831770610283944319437533133930496) (/.f64 b d) (if (<=.f64 d 6620533730813779/348449143727040986586495598010130648530944) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (/.f64 b d)))
(if (<=.f64 d -12200000000000000227035023290104829470638901771906167387624178975492612003201024) (/.f64 b d) (if (<=.f64 d -440000000000000012762122340980846755840) (/.f64 (*.f64 (/.f64 c d) a) d) (if (<=.f64 d -1020000000000000007897418360160256) (/.f64 b d) (if (<=.f64 d -3596664185619019/2854495385411919762116571938898990272765493248) (/.f64 a c) (if (<=.f64 d -5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 d (/.f64 c (/.f64 b c))) (if (<=.f64 d 359338179468511/21778071482940061661655974875633165533184) (/.f64 a c) (/.f64 b d)))))))
(if (<=.f64 d -12999999999999999647618921891376939333850226425529058480240526125692023209984) (/.f64 b d) (if (<=.f64 d -2000000000000000089771425356151833571098624) (*.f64 (/.f64 a d) (/.f64 c d)) (if (<=.f64 d -950000000000000005942544668033024) (/.f64 b d) (if (<=.f64 d -3596664185619019/2854495385411919762116571938898990272765493248) (/.f64 a c) (if (<=.f64 d -5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 d (/.f64 c (/.f64 b c))) (if (<=.f64 d 6620533730813779/348449143727040986586495598010130648530944) (/.f64 a c) (/.f64 b d)))))))
(if (<=.f64 d -10799999999999999929751756622542572367778016277677424317427928535884688785408) (/.f64 b d) (if (<=.f64 d -76000000000000000858062832507672858722304) (.f64 (/.f64 a d) (/.f64 c d)) (if (<=.f64 d -580000000000000005903582872207360) (/.f64 b d) (if (<=.f64 d -7707137540612183/5708990770823839524233143877797980545530986496) (/.f64 a c) (if (<=.f64 d -802724515596525/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (.f64 (/.f64 b c) (/.f64 d c)) (if (<=.f64 d 6620533730813779/348449143727040986586495598010130648530944) (/.f64 a c) (/.f64 b d)))))))
(if (<=.f64 d -11200000000000000462795984583781648376868269883164122355104034927774326063104) (/.f64 b d) (if (<=.f64 d -5499999999999999743958278769731805642752) (.f64 (/.f64 a d) (/.f64 c d)) (if (<=.f64 d -284999999999999987371244592824320) (/.f64 b d) (if (<=.f64 d -534955578137577/18446744073709551616) (/.f64 a c) (if (<=.f64 d -1248841731117715/89202980794122492566142873090593446023921664) (/.f64 b d) (if (<=.f64 d -3596664185619019/2854495385411919762116571938898990272765493248) (/.f64 a c) (if (<=.f64 d -5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (.f64 d (/.f64 b (*.f64 c c))) (if (<=.f64 d 6620533730813779/348449143727040986586495598010130648530944) (/.f64 a c) (/.f64 b d)))))))))
(if (<=.f64 d -17500000000000000020083331548850580039248256293185302576386244794675519029248) (/.f64 b d) (if (<=.f64 d -14000000000000000937884987314407903722471424) (.f64 a (/.f64 (/.f64 c d) d)) (if (<=.f64 d -179999999999999984438934054633472) (/.f64 b d) (if (<=.f64 d -2102928824402889/73786976294838206464) (/.f64 a c) (if (<=.f64 d -2676089423823675/178405961588244985132285746181186892047843328) (/.f64 b d) (if (<=.f64 d -3596664185619019/2854495385411919762116571938898990272765493248) (/.f64 a c) (if (<=.f64 d -5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (.f64 d (/.f64 b (*.f64 c c))) (if (<=.f64 d 3136042293543369/174224571863520493293247799005065324265472) (/.f64 a c) (/.f64 b d)))))))))
(if (<=.f64 d -59999999999999996395855892718367073181509239082549374496860282078218155982848) (/.f64 b d) (if (<=.f64 d -13500000000000000992813383430706212510892032) (*.f64 a (/.f64 (/.f64 c d) d)) (if (<=.f64 d -779999999999999980607110262030336) (/.f64 b d) (if (<=.f64 d 1045347431181123/696898287454081973172991196020261297061888) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 d -195000000000000003753310327327474389931290165801975516390999731913590046720) (/.f64 b d) (if (<=.f64 d 1045347431181123/696898287454081973172991196020261297061888) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

Outputs
(if (<=.f64 d -11999999999999999897880892096446886486570260458073664772880741893869659815646593024) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -1177479346482417/713623846352979940529142984724747568191373312) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 6092291808370931/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 606580269400033/713623846352979940529142984724747568191373312) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (if (<=.f64 d 75999999999999996258324359919852404996483069066417972267080087570783627002474386082268746586309736611620693136156726290445726527070975277032948866834497536) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d))))))))
(if (<=.f64 d -11999999999999999897880892096446886486570260458073664772880741893869659815646593024) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -1177479346482417/713623846352979940529142984724747568191373312) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 (/.f64 1 c) (+.f64 a (.f64 b (/.f64 d c)))) (if (<=.f64 d 6092291808370931/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 606580269400033/713623846352979940529142984724747568191373312) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (if (<=.f64 d 75999999999999996258324359919852404996483069066417972267080087570783627002474386082268746586309736611620693136156726290445726527070975277032948866834497536) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 b d) (/.f64 (.f64 a (/.f64 c d)) d))))))))
(if (<=.f64 d -13499999999999999674491420271388373901555487647992008231700643829505144783980462080) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -6565339386447415/2854495385411919762116571938898990272765493248) (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2)) (if (<=.f64 d 2259756624739205/25108406941546723055343157692830665664409421777856138051584) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 2599999999999999853975574447631991096295236794146657574631321054860482204790172271344614611190103212491657117955647147606016) (/.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)))))))
(if (<=.f64 d -13499999999999999674491420271388373901555487647992008231700643829505144783980462080) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -6565339386447415/2854495385411919762116571938898990272765493248) (/.f64 (fma.f64 d b (.f64 a c)) (pow.f64 (hypot.f64 c d) 2)) (if (<=.f64 d 2259756624739205/25108406941546723055343157692830665664409421777856138051584) (.f64 (/.f64 1 c) (+.f64 a (.f64 b (/.f64 d c)))) (if (<=.f64 d 2599999999999999853975574447631991096295236794146657574631321054860482204790172271344614611190103212491657117955647147606016) (/.f64 (+.f64 (.f64 d b) (.f64 a c)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))))))
(if (<=.f64 d -350000000000000013257170985048933805120661864593006871705348846155853062995968) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -749305038670629/178405961588244985132285746181186892047843328) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 4750736176684255/766247770432944429179173513575154591809369561091801088) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144) (/.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)))))))
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(if (or (<=.f64 d -195000000000000003753310327327474389931290165801975516390999731913590046720) (not (<=.f64 d 1045347431181123/696898287454081973172991196020261297061888))) (/.f64 b d) (/.f64 a c))
(/.f64 a c)

Compiler

Compiled 974 to 485 computations (50.2% saved)

soundness253.0ms (1.9%)

Algorithm

6×	egg-herbie

Rules

1684×	`distribute-lft-in`
1684×	`distribute-lft-in`
1660×	`distribute-rgt-in`
1660×	`distribute-rgt-in`
1298×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	8211
1	832	7825
2	4084	7825
0	13	35
1	20	35
2	24	35
0	189	4905
1	567	4663
2	2166	4645
0	316	8211
1	832	7825
2	4084	7825
0	13	35
1	20	35
2	24	35
0	189	4905
1	567	4663
2	2166	4645

Stop Event

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

Compiler

Compiled 295 to 120 computations (59.3% saved)

end196.0ms (1.4%)

Compiler: Compiled 914 to 295 computations (67.7% saved)