Details

analyze387.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.0s (6.8%)

Results

971.0ms	8256×	body	256	valid
56.0ms	503×	body	256	infinite

Bogosity

preprocess6.0ms (0%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

26.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.1b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a c) (.f64 b d))
✓	25.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series10.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	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)))

rewrite79.0ms (0.5%)

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))))))

simplify89.0ms (0.6%)

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))

eval50.0ms (0.3%)

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

prune41.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	174	15	189
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	16	190

Error

0.1b

Counts

190 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	43.9b	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
✓	26.1b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	36.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	42.9b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	43.7b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3)) (+.f64 (.f64 c c) (*.f64 d d)))
	38.5b	(/.f64 b d)
▶	34.9b	(/.f64 a c)
▶	36.0b	(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
	34.7b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
	31.0b	(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
▶	30.9b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
	29.1b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	26.2b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
	45.8b	(.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))
	36.3b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
▶	16.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 489 to 301 computations (38.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a c (*.f64 b d))
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	15.8b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series13.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

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

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

simplify161.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1832×	`associate-/r*`
1432×	`associate-l`
1154×	`associate-/l/`
800×	`*-commutative`
774×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	899	24277
1	2476	21857

Stop Event

1×	node limit

Counts

501 → 577

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
✓	4.4b	(.f64 (/.f64 b (.f64 c c)) d)
✓	8.2b	(/.f64 b (*.f64 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	b	@	0	(.f64 (/.f64 b (.f64 c c)) d)
1.0ms	b	@	inf	(/.f64 b (*.f64 c c))
0.0ms	d	@	0	(.f64 (/.f64 b (.f64 c c)) d)
0.0ms	b	@	0	(/.f64 b (*.f64 c c))
0.0ms	c	@	0	(/.f64 b (*.f64 c c))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	8408
1	1110	7940
2	5063	7930

Stop Event

1×	node limit

Counts

252 → 226

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	18.8b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

95 → 104

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.7b	(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
✓	11.5b	(/.f64 (*.f64 c a) (pow.f64 d 2))

Compiler

Compiled 36 to 16 computations (55.6% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	c	@	inf	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	d	@	0	(/.f64 (*.f64 c a) (pow.f64 d 2))
0.0ms	b	@	0	(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
0.0ms	a	@	0	(/.f64 (*.f64 c a) (pow.f64 d 2))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

160 → 234

Calls

Call 1

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

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

eval392.0ms (2.6%)

Compiler: Compiled 28691 to 10043 computations (65% saved)

prune305.0ms (2%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1126	15	1141
Fresh	8	2	10
Picked	1	0	1
Done	3	2	5
Total	1138	19	1157

Error

0.0b

Counts

1157 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	16.9b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
	52.4b	(/.f64 (+.f64 (.f64 (.f64 b d) (neg.f64 c)) (.f64 (.f64 c c) (neg.f64 a))) (.f64 (.f64 c c) (neg.f64 c)))
	34.8b	(/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d)
	36.8b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
✓	42.9b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	54.9b	(/.f64 (.f64 c a) (.f64 d d))
▶	38.5b	(/.f64 b d)
✓	34.9b	(/.f64 a c)
▶	28.1b	(+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c))
	29.2b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
	29.2b	(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
	29.9b	(+.f64 (/.f64 a c) (/.f64 b (/.f64 c (/.f64 d c))))
	28.2b	(+.f64 (/.f64 a c) (/.f64 1 (/.f64 c (/.f64 d (/.f64 c b)))))
	28.5b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	53.8b	(*.f64 (/.f64 a d) (/.f64 c d))
▶	1.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 a (/.f64 (hypot.f64 c d) c))))
▶	44.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
	40.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
▶	35.3b	(.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b))

Compiler

Compiled 560 to 338 computations (39.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 a (/.f64 (hypot.f64 c d) c)))
✓	0.3b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 a (/.f64 (hypot.f64 c d) c))))
✓	1.5b	(/.f64 a (/.f64 (hypot.f64 c d) c))
✓	3.5b	(/.f64 b (/.f64 (hypot.f64 c d) d))

Compiler

Compiled 77 to 16 computations (79.2% saved)

series22.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite120.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`associate-/l/`
364×	`add-sqr-sqrt`
358×	`*-un-lft-identity`
356×	`pow1`
334×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	136
1	345	128
2	5558	128

Stop Event

1×	node limit

Counts

4 → 261

Calls

Call 1

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

Outputs
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simplify181.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1534×	`associate-l`
1422×	`associate-/l*`
1418×	`associate-/r*`
1254×	`associate-*r/`
1022×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1005	28567
1	3242	28131

Stop Event

1×	node limit

Counts

429 → 578

Calls

Call 1

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 c a) d) b)
✓	1.8b	(.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b))
✓	4.5b	(/.f64 (*.f64 c a) d)

Compiler

Compiled 38 to 13 computations (65.8% saved)

series7.0ms (0%)

Counts

3 → 96

Calls

33 calls:

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

rewrite119.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`swap-sqr`
676×	`distribute-rgt-in`
638×	`distribute-lft-in`
566×	`associate-/r/`
472×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	259	57
2	3714	57

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

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

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-l`
716×	`associate-r`
660×	`associate-+r+`
652×	`associate-/l*`
606×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	426	8361
1	1246	8071
2	6256	8071

Stop Event

1×	node limit

Counts

267 → 239

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c))
✓	1.2b	(/.f64 (/.f64 d (/.f64 c b)) c)
✓	4.7b	(/.f64 d (/.f64 c b))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series4.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`associate-/r/`
1102×	`associate-/l/`
558×	`distribute-lft-in`
276×	`add-sqr-sqrt`
274×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	256	63
2	4239	63

Stop Event

1×	node limit

Counts

3 → 245

Calls

Call 1

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

Outputs

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

simplify161.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-l`
1060×	`*-commutative`
860×	`associate-*r/`
842×	`associate-*l/`
800×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	659	12741
1	2121	11713

Stop Event

1×	node limit

Counts

365 → 366

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.0b	(+.f64 b (/.f64 (*.f64 c a) d))
	4.5b	(/.f64 (*.f64 c a) d)
✓	6.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

24 calls:

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

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	282	50
2	4029	50

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1480×	`associate-/r/`
624×	`+-commutative`
576×	`times-frac`
548×	`associate-/l*`
546×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	8678
1	1045	7602
2	5117	7600

Stop Event

1×	node limit

Counts

162 → 218

Calls

Call 1

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

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

eval722.0ms (4.7%)

Compiler: Compiled 45164 to 15218 computations (66.3% saved)

prune747.0ms (4.9%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1536	18	1554
Fresh	6	6	12
Picked	1	0	1
Done	2	4	6
Total	1545	28	1573

Error

Counts

1573 → 28

Alt Table

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Status	Error	Program
	10.2b	(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d))) (hypot.f64 c d))
	34.8b	(/.f64 (+.f64 (*.f64 (/.f64 a d) c) b) d)
	47.3b	(/.f64 (+.f64 c (.f64 (/.f64 c a) (.f64 d (/.f64 b c)))) (*.f64 (/.f64 c a) c))
	44.3b	(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) (hypot.f64 c d))
	36.8b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
✓	42.9b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	54.9b	(/.f64 (.f64 c a) (.f64 d d))
	58.1b	(/.f64 (neg.f64 b) d)
	58.5b	(/.f64 (neg.f64 a) d)
✓	38.5b	(/.f64 b d)
▶	58.6b	(/.f64 a d)
✓	34.9b	(/.f64 a c)
▶	35.0b	(/.f64 1 (/.f64 d (+.f64 (*.f64 (/.f64 a d) c) b)))
▶	60.0b	(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
	60.3b	(+.f64 (/.f64 b c) (/.f64 a d))
	29.2b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
	28.5b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
	29.2b	(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
	28.2b	(+.f64 (/.f64 a c) (/.f64 1 (/.f64 c (/.f64 d (/.f64 c b)))))
	28.5b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	53.8b	(*.f64 (/.f64 a d) (/.f64 c d))
▶	1.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (pow.f64 (cbrt.f64 (.f64 d (/.f64 b (hypot.f64 c d)))) 3) (/.f64 a (/.f64 (hypot.f64 c d) c))))
	24.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	44.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 a (*.f64 c (/.f64 1 d)))))
▶	40.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 (/.f64 d (/.f64 c b)) a)))
✓	35.3b	(.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b))
	34.6b	(.f64 (/.f64 1 d) (+.f64 (.f64 a (*.f64 c (/.f64 1 d))) b))
	53.9b	(.f64 (/.f64 1 d) (.f64 a (/.f64 c d)))

Compiler

Compiled 766 to 475 computations (38% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 d (/.f64 b (hypot.f64 c d)))) 3)
	1.5b	(/.f64 a (/.f64 (hypot.f64 c d) c))
✓	6.9b	(*.f64 d (/.f64 b (hypot.f64 c d)))
✓	12.3b	(cbrt.f64 (*.f64 d (/.f64 b (hypot.f64 c d))))

Compiler

Compiled 102 to 25 computations (75.5% saved)

series60.0ms (0.4%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
33.0ms	c	@	inf	(pow.f64 (cbrt.f64 (*.f64 d (/.f64 b (hypot.f64 c d)))) 3)
4.0ms	d	@	-inf	(pow.f64 (cbrt.f64 (*.f64 d (/.f64 b (hypot.f64 c d)))) 3)
3.0ms	c	@	0	(pow.f64 (cbrt.f64 (*.f64 d (/.f64 b (hypot.f64 c d)))) 3)
3.0ms	d	@	inf	(pow.f64 (cbrt.f64 (*.f64 d (/.f64 b (hypot.f64 c d)))) 3)
2.0ms	d	@	inf	(*.f64 d (/.f64 b (hypot.f64 c d)))

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`*-commutative`
938×	`associate-*r/`
862×	`unswap-sqr`
802×	`associate-/r*`
654×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	252	61
2	2895	61

Stop Event

1×	node limit

Counts

3 → 336

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 d (/.f64 b (hypot.f64 c d))))
(*.f64 d (/.f64 b (hypot.f64 c d)))
(pow.f64 (cbrt.f64 (*.f64 d (/.f64 b (hypot.f64 c d)))) 3)

Outputs

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

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

simplify221.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-/l*`
668×	`associate-/l/`
576×	`associate-+r+`
572×	`+-commutative`
534×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	858	21388
1	2663	20112

Stop Event

1×	node limit

Counts

396 → 436

Calls

Call 1

Inputs
(pow.f64 b 1/3)
(+.f64 (pow.f64 b 1/3) (.f64 -1/6 (.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (pow.f64 (*.f64 1 b) 1/3))))
(+.f64 (pow.f64 b 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))) (pow.f64 d 4)))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (pow.f64 (*.f64 1 b) 1/3)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 6) b)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))))) (.f64 -1/216 (.f64 (pow.f64 c 6) b))))) (pow.f64 d 6)))) (+.f64 (pow.f64 b 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))) (pow.f64 d 4)))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (pow.f64 (*.f64 1 b) 1/3))))))
(.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (pow.f64 c 2) (cbrt.f64 -1)) (pow.f64 d 2)) (pow.f64 (.f64 1 b) 1/3))) (.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (pow.f64 c 2) (cbrt.f64 -1)) (pow.f64 d 2)) (pow.f64 (.f64 1 b) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (*.f64 (pow.f64 c 4) b)))) (cbrt.f64 -1)) (pow.f64 d 4))))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (pow.f64 c 2) (cbrt.f64 -1)) (pow.f64 d 2)) (pow.f64 (.f64 1 b) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/8 (.f64 (pow.f64 c 6) b)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))))) (.f64 -1/216 (.f64 (pow.f64 c 6) b)))))) (pow.f64 d 6)))) (+.f64 (.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))) (cbrt.f64 -1)) (pow.f64 d 4)))))))
(pow.f64 b 1/3)
(+.f64 (pow.f64 b 1/3) (.f64 -1/6 (.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (pow.f64 (*.f64 1 b) 1/3))))
(+.f64 (pow.f64 b 1/3) (+.f64 (.f64 -1/6 (.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (pow.f64 (.f64 1 b) 1/3))) (.f64 -1/3 (.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 d 4))) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 4))) (*.f64 1/12 (/.f64 b (pow.f64 d 4)))))) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 c 6) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 d 4))) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 4))) (.f64 1/12 (/.f64 b (pow.f64 d 4))))) (pow.f64 d 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 d 4))) (.f64 -1/4 (/.f64 b (pow.f64 d 4)))) (pow.f64 d 2))) (+.f64 (.f64 1/8 (/.f64 b (pow.f64 d 6))) (.f64 -1/216 (/.f64 b (pow.f64 d 6))))))) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))) (+.f64 (pow.f64 b 1/3) (+.f64 (.f64 -1/6 (.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (pow.f64 (.f64 1 b) 1/3))) (.f64 -1/3 (.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 d 4))) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 4))) (*.f64 1/12 (/.f64 b (pow.f64 d 4)))))) (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3))))))
(/.f64 (*.f64 d b) c)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (/.f64 (*.f64 d b) c))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 d b) c) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (*.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 d 5)))))
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b
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b
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(*.f64 (pow.f64 1 1/3) b)
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(*.f64 (pow.f64 1 1/3) b)
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(/.f64 (.f64 1 (/.f64 (.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (sqrt.f64 (.f64 b (/.f64 d (hypot.f64 c d)))) (sqrt.f64 (*.f64 d b))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 d (hypot.f64 c d)))) 2) (cbrt.f64 (*.f64 d b))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (.f64 d b) (/.f64 1 (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (.f64 d b) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (.f64 d b) -1) (neg.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (/.f64 (hypot.f64 c d) b))) 1) (sqrt.f64 (/.f64 (hypot.f64 c d) b)))
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (/.f64 (hypot.f64 c d) b))) (sqrt.f64 b)) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (/.f64 (hypot.f64 c d) b))) (sqrt.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (.f64 (.f64 d (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 2)) 1) (cbrt.f64 (/.f64 (hypot.f64 c d) b)))
(/.f64 (.f64 (.f64 d (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 2)) (cbrt.f64 b)) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (.f64 d (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 2)) (cbrt.f64 (neg.f64 b))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))) 2) (cbrt.f64 d)) 1) (cbrt.f64 (/.f64 (hypot.f64 c d) b)))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))) 2) (cbrt.f64 d)) (cbrt.f64 b)) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))) 2) (cbrt.f64 d)) (cbrt.f64 (neg.f64 b))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (/.f64 d 1) b) (hypot.f64 c d))
(/.f64 (*.f64 (/.f64 d 1) 1) (/.f64 (hypot.f64 c d) b))
(/.f64 (*.f64 (/.f64 d 1) (sqrt.f64 b)) (/.f64 (hypot.f64 c d) (sqrt.f64 b)))
(/.f64 (*.f64 (/.f64 d 1) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (hypot.f64 c d) (cbrt.f64 b)))
(/.f64 (*.f64 (/.f64 d 1) (neg.f64 b)) (neg.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 d 1) (/.f64 b 1)) (hypot.f64 c d))
(/.f64 (*.f64 (/.f64 d 1) (/.f64 b (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 d 1) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 d 1) -1) (/.f64 (hypot.f64 c d) (neg.f64 b)))
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (hypot.f64 c d))) b) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 d (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) b) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b (/.f64 d (hypot.f64 c d))))) 2) 3) (cbrt.f64 (*.f64 d b))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 b 1) d) (hypot.f64 c d))
(/.f64 (*.f64 (/.f64 b (sqrt.f64 (hypot.f64 c d))) d) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) d) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 -1 d) (/.f64 (hypot.f64 c d) (neg.f64 b)))
(/.f64 (.f64 (cbrt.f64 (.f64 d b)) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))) 2)) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (.f64 d (neg.f64 b)) 1) (neg.f64 (hypot.f64 c d)))
(/.f64 (.f64 (/.f64 (.f64 d b) 1) 1) (hypot.f64 c d))
(/.f64 (.f64 (/.f64 (.f64 d b) (sqrt.f64 (hypot.f64 c d))) 1) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (.f64 (/.f64 (.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) 1) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 1 (/.f64 d (sqrt.f64 (/.f64 (hypot.f64 c d) b)))) (sqrt.f64 (/.f64 (hypot.f64 c d) b)))
(/.f64 (*.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 (/.f64 (hypot.f64 c d) b)))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 b)) (/.f64 d (sqrt.f64 (/.f64 (hypot.f64 c d) b)))) (sqrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (.f64 (sqrt.f64 (.f64 d b)) (sqrt.f64 (*.f64 b (/.f64 d (hypot.f64 c d))))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 d (/.f64 b (cbrt.f64 (hypot.f64 c d)))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(/.f64 (/.f64 (*.f64 d b) (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(/.f64 (/.f64 d (*.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) b)) (cbrt.f64 (/.f64 (hypot.f64 c d) b)))) (cbrt.f64 (/.f64 (hypot.f64 c d) b)))
(/.f64 (/.f64 d (/.f64 1 (sqrt.f64 b))) (/.f64 (hypot.f64 c d) (sqrt.f64 b)))
(/.f64 (/.f64 d (/.f64 1 (pow.f64 (cbrt.f64 b) 2))) (/.f64 (hypot.f64 c d) (cbrt.f64 b)))
(/.f64 (/.f64 d (/.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 b))) (/.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 b)))
(/.f64 (/.f64 d (/.f64 (sqrt.f64 (hypot.f64 c d)) (pow.f64 (cbrt.f64 b) 2))) (/.f64 (sqrt.f64 (hypot.f64 c d)) (cbrt.f64 b)))
(/.f64 (/.f64 d (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (sqrt.f64 b))) (/.f64 (cbrt.f64 (hypot.f64 c d)) (sqrt.f64 b)))
(/.f64 (/.f64 d (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (pow.f64 (cbrt.f64 b) 2))) (/.f64 (cbrt.f64 (hypot.f64 c d)) (cbrt.f64 b)))
(/.f64 (/.f64 (*.f64 d (neg.f64 b)) 1) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (*.f64 d (neg.f64 b)) (sqrt.f64 (hypot.f64 c d))) (neg.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (*.f64 d (neg.f64 b)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (*.f64 d (neg.f64 b)) (sqrt.f64 (neg.f64 (hypot.f64 c d)))) (sqrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 d (neg.f64 b)) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 c d))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (*.f64 d (neg.f64 b)) -1) (hypot.f64 c d))
(/.f64 (/.f64 (*.f64 d (neg.f64 b)) (neg.f64 (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (*.f64 d (neg.f64 b)) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (*.f64 d b) 1) 1) (hypot.f64 c d))
(/.f64 (/.f64 (/.f64 (*.f64 d b) 1) (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(/.f64 (/.f64 (/.f64 (*.f64 d b) (sqrt.f64 (hypot.f64 c d))) 1) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (*.f64 d b) (sqrt.f64 (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (*.f64 d b) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (*.f64 d b) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) 1) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 c d)))) (sqrt.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 c d)))) (cbrt.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(neg.f64 (*.f64 (/.f64 b (neg.f64 (hypot.f64 c d))) d))
(neg.f64 (*.f64 d (/.f64 b (neg.f64 (hypot.f64 c d)))))
(neg.f64 (*.f64 (/.f64 d 1) (/.f64 b (neg.f64 (hypot.f64 c d)))))
(neg.f64 (/.f64 (*.f64 d b) (neg.f64 (hypot.f64 c d))))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) 2))
(log.f64 (exp.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 d (hypot.f64 c d))))))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3) (pow.f64 d 3)))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))))
(exp.f64 (log.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))))

Outputs
(pow.f64 b 1/3)
(cbrt.f64 b)
(+.f64 (pow.f64 b 1/3) (.f64 -1/6 (.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (pow.f64 (*.f64 1 b) 1/3))))
(+.f64 (cbrt.f64 b) (.f64 -1/6 (.f64 (/.f64 (.f64 c c) (.f64 d d)) (cbrt.f64 b))))
(.f64 (+.f64 (/.f64 (.f64 -1/6 (.f64 c c)) (.f64 d d)) 1) (cbrt.f64 b))
(+.f64 (pow.f64 b 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))) (pow.f64 d 4)))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (pow.f64 (*.f64 1 b) 1/3)))))
(+.f64 (cbrt.f64 b) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (/.f64 (fma.f64 -1/4 (.f64 b (pow.f64 c 4)) (.f64 (.f64 b (pow.f64 c 4)) -1/24)) (pow.f64 d 4))) (.f64 -1/6 (.f64 (/.f64 (.f64 c c) (*.f64 d d)) (cbrt.f64 b)))))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 -1/6 (.f64 c c)) (.f64 d d)) 1) (cbrt.f64 b)) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 b) b))) (/.f64 (.f64 (.f64 b (pow.f64 c 4)) -7/24) (pow.f64 d 4))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 6) b)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))))) (.f64 -1/216 (.f64 (pow.f64 c 6) b))))) (pow.f64 d 6)))) (+.f64 (pow.f64 b 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))) (pow.f64 d 4)))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (pow.f64 (*.f64 1 b) 1/3))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (/.f64 (fma.f64 1/8 (.f64 b (pow.f64 c 6)) (fma.f64 -1/2 (.f64 (.f64 c c) (.f64 (.f64 b (pow.f64 c 4)) -3/8)) (fma.f64 1/3 (.f64 (.f64 c c) (fma.f64 -1/4 (.f64 b (pow.f64 c 4)) (.f64 (.f64 b (pow.f64 c 4)) -1/24))) (.f64 (.f64 -1/216 (pow.f64 c 6)) b)))) (pow.f64 d 6))) (+.f64 (cbrt.f64 b) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (/.f64 (fma.f64 -1/4 (.f64 b (pow.f64 c 4)) (.f64 (.f64 b (pow.f64 c 4)) -1/24)) (pow.f64 d 4))) (.f64 -1/6 (.f64 (/.f64 (.f64 c c) (*.f64 d d)) (cbrt.f64 b))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 b) b)) (/.f64 (fma.f64 1/8 (.f64 b (pow.f64 c 6)) (fma.f64 -1/2 (.f64 (.f64 c c) (.f64 (.f64 b (pow.f64 c 4)) -3/8)) (fma.f64 1/3 (.f64 (.f64 c c) (.f64 (.f64 b (pow.f64 c 4)) -7/24)) (.f64 (.f64 -1/216 (pow.f64 c 6)) b)))) (pow.f64 d 6))) (+.f64 (.f64 (+.f64 (/.f64 (.f64 -1/6 (.f64 c c)) (.f64 d d)) 1) (cbrt.f64 b)) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 b) b))) (/.f64 (.f64 (.f64 b (pow.f64 c 4)) -7/24) (pow.f64 d 4)))))
(.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 b) (cbrt.f64 -1))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (pow.f64 c 2) (cbrt.f64 -1)) (pow.f64 d 2)) (pow.f64 (.f64 1 b) 1/3))) (.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 -1)))
(fma.f64 -1/6 (.f64 (cbrt.f64 b) (/.f64 (.f64 c c) (/.f64 (.f64 d d) (cbrt.f64 -1)))) (.f64 (cbrt.f64 b) (cbrt.f64 -1)))
(.f64 (cbrt.f64 b) (+.f64 (cbrt.f64 -1) (.f64 -1/6 (/.f64 c (/.f64 (/.f64 d (/.f64 (cbrt.f64 -1) d)) c)))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (pow.f64 c 2) (cbrt.f64 -1)) (pow.f64 d 2)) (pow.f64 (.f64 1 b) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (*.f64 (pow.f64 c 4) b)))) (cbrt.f64 -1)) (pow.f64 d 4))))))
(fma.f64 -1/6 (.f64 (cbrt.f64 b) (/.f64 (.f64 c c) (/.f64 (.f64 d d) (cbrt.f64 -1)))) (fma.f64 (cbrt.f64 b) (cbrt.f64 -1) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (/.f64 (fma.f64 -1/4 (.f64 b (pow.f64 c 4)) (.f64 (*.f64 b (pow.f64 c 4)) -1/24)) (/.f64 (pow.f64 d 4) (cbrt.f64 -1)))))))
(+.f64 (.f64 (cbrt.f64 b) (+.f64 (cbrt.f64 -1) (.f64 -1/6 (/.f64 c (/.f64 (/.f64 d (/.f64 (cbrt.f64 -1) d)) c))))) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 b) b))) (/.f64 (.f64 (.f64 b (pow.f64 c 4)) -7/24) (/.f64 (pow.f64 d 4) (cbrt.f64 -1)))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (pow.f64 c 2) (cbrt.f64 -1)) (pow.f64 d 2)) (pow.f64 (.f64 1 b) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/8 (.f64 (pow.f64 c 6) b)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))))) (.f64 -1/216 (.f64 (pow.f64 c 6) b)))))) (pow.f64 d 6)))) (+.f64 (.f64 (pow.f64 (.f64 1 b) 1/3) (cbrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) b)) (.f64 1/12 (.f64 (pow.f64 c 4) b)))) (cbrt.f64 -1)) (pow.f64 d 4)))))))
(fma.f64 -1/6 (.f64 (cbrt.f64 b) (/.f64 (.f64 c c) (/.f64 (.f64 d d) (cbrt.f64 -1)))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 d 6) (fma.f64 1/8 (.f64 b (pow.f64 c 6)) (fma.f64 -1/2 (.f64 (.f64 c c) (.f64 (.f64 b (pow.f64 c 4)) -3/8)) (fma.f64 1/3 (.f64 (.f64 c c) (fma.f64 -1/4 (.f64 b (pow.f64 c 4)) (.f64 (.f64 b (pow.f64 c 4)) -1/24))) (.f64 (.f64 -1/216 (pow.f64 c 6)) b))))))) (fma.f64 (cbrt.f64 b) (cbrt.f64 -1) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 b b))) (/.f64 (fma.f64 -1/4 (.f64 b (pow.f64 c 4)) (.f64 (*.f64 b (pow.f64 c 4)) -1/24)) (/.f64 (pow.f64 d 4) (cbrt.f64 -1))))))))
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(/.f64 b (/.f64 (hypot.f64 c d) d))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) 2))
(sqrt.f64 (pow.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) 2))
(log.f64 (exp.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))))
(*.f64 b (/.f64 d (hypot.f64 c d)))
(/.f64 b (/.f64 (hypot.f64 c d) d))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 d (hypot.f64 c d))))))
(*.f64 b (/.f64 d (hypot.f64 c d)))
(/.f64 b (/.f64 (hypot.f64 c d) d))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) 3))
(*.f64 b (/.f64 d (hypot.f64 c d)))
(/.f64 b (/.f64 (hypot.f64 c d) d))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3) (pow.f64 d 3)))
(cbrt.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 b (hypot.f64 c d)) 3)))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))))
(*.f64 b (/.f64 d (hypot.f64 c d)))
(/.f64 b (/.f64 (hypot.f64 c d) d))
(exp.f64 (log.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))))
(*.f64 b (/.f64 d (hypot.f64 c d)))
(/.f64 b (/.f64 (hypot.f64 c d) d))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 d (hypot.f64 c d)))))
(*.f64 b (/.f64 d (hypot.f64 c d)))
(/.f64 b (/.f64 (hypot.f64 c d) d))

localize32.0ms (0.2%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))

Compiler

Compiled 25 to 8 computations (68% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`associate-/l*`
592×	`distribute-rgt-in`
562×	`distribute-lft-in`
518×	`associate-/r/`
316×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	248	19
2	3845	19

Stop Event

1×	node limit

Counts

1 → 143

Calls

Call 1

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

Outputs

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simplify182.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1006×	`associate-+l+`
980×	`+-commutative`
974×	`associate-+r+`
748×	`associate-r`
668×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	9521
1	1350	8941
2	6844	8845

Stop Event

1×	node limit

Counts

191 → 258

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 a d) c) b)
✓	0.4b	(/.f64 1 (/.f64 d (+.f64 (*.f64 (/.f64 a d) c) b)))
✓	1.7b	(/.f64 d (+.f64 (*.f64 (/.f64 a d) c) b))
✓	3.8b	(*.f64 (/.f64 a d) c)

Compiler

Compiled 44 to 11 computations (75% saved)

series7.0ms (0%)

Counts

4 → 180

Calls

45 calls:

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

rewrite152.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`associate-/l*`
750×	`associate-/r/`
694×	`distribute-rgt-in`
664×	`distribute-lft-in`
296×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	262	70
2	3652	70

Stop Event

1×	node limit

Counts

4 → 266

Calls

Call 1

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

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

simplify181.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-r`
1058×	`associate-l`
994×	`associate-/l*`
834×	`associate-/r*`
808×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	679	17772
1	1968	16566

Stop Event

1×	node limit

Counts

446 → 435

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

Outputs
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 c (/.f64 d a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 d (/.f64 c (/.f64 d a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (/.f64 (pow.f64 d 2) (.f64 c a)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 c c) (.f64 a a)) b)) (/.f64 (.f64 d d) (*.f64 c a)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (/.f64 (/.f64 b a) a)) (/.f64 d (/.f64 c (/.f64 d a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (/.f64 (.f64 (pow.f64 d 4) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (/.f64 (pow.f64 d 2) (.f64 c a))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 c c) (.f64 a a)) b)) (+.f64 (/.f64 (.f64 d d) (.f64 c a)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 (*.f64 b b) (pow.f64 a 3)))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (/.f64 (/.f64 b a) a)) (/.f64 d (/.f64 c (/.f64 d a)))) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 b (/.f64 (pow.f64 a 3) b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (/.f64 (.f64 (pow.f64 d 4) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 d 2) (.f64 c a)) (.f64 -1 (/.f64 (.f64 (pow.f64 d 5) (pow.f64 b 3)) (*.f64 (pow.f64 c 4) (pow.f64 a 4)))))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 c c) (.f64 a a)) b)) (+.f64 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 (.f64 b b) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 d d) (.f64 c a)) (neg.f64 (.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 4)) (/.f64 (pow.f64 b 3) (pow.f64 a 4)))))))
(+.f64 (+.f64 (fma.f64 -1 (.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (/.f64 (/.f64 b a) a)) (/.f64 d (/.f64 c (/.f64 d a)))) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 b (/.f64 (pow.f64 a 3) b)))) (.f64 (neg.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 4))) (/.f64 (pow.f64 b 3) (pow.f64 a 4))))
(/.f64 d b)
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (/.f64 d b))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b b) a)) (/.f64 d b))
(fma.f64 -1 (/.f64 c (/.f64 b (/.f64 a b))) (/.f64 d b))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (/.f64 d b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 d (pow.f64 b 3)))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) a)) (/.f64 d b)) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 d (pow.f64 b 3))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 b (/.f64 a b))) (/.f64 d b)) (.f64 (/.f64 (.f64 c c) (.f64 d (pow.f64 b 3))) (.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (/.f64 d b) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 d (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (pow.f64 d 2) (pow.f64 b 4)))))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) a)) (/.f64 d b)) (+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 d (pow.f64 b 3))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (.f64 (*.f64 d d) (pow.f64 b 4)) (pow.f64 a 3))))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 b (/.f64 a b))) (/.f64 d b)) (+.f64 (.f64 (/.f64 (.f64 c c) (.f64 d (pow.f64 b 3))) (.f64 a a)) (.f64 (neg.f64 (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (pow.f64 a 3) (pow.f64 b 4)))))
(/.f64 d b)
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (/.f64 d b))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b b) a)) (/.f64 d b))
(fma.f64 -1 (/.f64 c (/.f64 b (/.f64 a b))) (/.f64 d b))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (/.f64 d b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 d (pow.f64 b 3)))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) a)) (/.f64 d b)) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 d (pow.f64 b 3))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 b (/.f64 a b))) (/.f64 d b)) (.f64 (/.f64 (.f64 c c) (.f64 d (pow.f64 b 3))) (.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (/.f64 d b) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 d (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (pow.f64 d 2) (pow.f64 b 4)))))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) a)) (/.f64 d b)) (+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 d (pow.f64 b 3))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (.f64 (*.f64 d d) (pow.f64 b 4)) (pow.f64 a 3))))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 b (/.f64 a b))) (/.f64 d b)) (+.f64 (.f64 (/.f64 (.f64 c c) (.f64 d (pow.f64 b 3))) (.f64 a a)) (.f64 (neg.f64 (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (pow.f64 a 3) (pow.f64 b 4)))))
(/.f64 d b)
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (/.f64 d b))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b b) a)) (/.f64 d b))
(fma.f64 -1 (/.f64 c (/.f64 b (/.f64 a b))) (/.f64 d b))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (/.f64 d b) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 d (pow.f64 b 3)))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) a)) (/.f64 d b)) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 d (pow.f64 b 3))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 b (/.f64 a b))) (/.f64 d b)) (.f64 (/.f64 (.f64 c c) (.f64 d (pow.f64 b 3))) (.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (/.f64 d b) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 d (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (pow.f64 d 2) (pow.f64 b 4)))))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) a)) (/.f64 d b)) (+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 d (pow.f64 b 3))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (.f64 (*.f64 d d) (pow.f64 b 4)) (pow.f64 a 3))))))
(+.f64 (fma.f64 -1 (/.f64 c (/.f64 b (/.f64 a b))) (/.f64 d b)) (+.f64 (.f64 (/.f64 (.f64 c c) (.f64 d (pow.f64 b 3))) (.f64 a a)) (.f64 (neg.f64 (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (pow.f64 a 3) (pow.f64 b 4)))))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 d (/.f64 c (/.f64 d a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (/.f64 (pow.f64 d 2) (.f64 c a)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 c c) (.f64 a a)) b)) (/.f64 (.f64 d d) (*.f64 c a)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (/.f64 (/.f64 b a) a)) (/.f64 d (/.f64 c (/.f64 d a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (/.f64 (.f64 (pow.f64 d 4) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (/.f64 (pow.f64 d 2) (.f64 c a))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 c c) (.f64 a a)) b)) (+.f64 (/.f64 (.f64 d d) (.f64 c a)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 (*.f64 b b) (pow.f64 a 3)))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (/.f64 (/.f64 b a) a)) (/.f64 d (/.f64 c (/.f64 d a)))) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 b (/.f64 (pow.f64 a 3) b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (/.f64 (.f64 (pow.f64 d 4) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 d 2) (.f64 c a)) (.f64 -1 (/.f64 (.f64 (pow.f64 d 5) (pow.f64 b 3)) (*.f64 (pow.f64 c 4) (pow.f64 a 4)))))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 c c) (.f64 a a)) b)) (+.f64 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 (.f64 b b) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 d d) (.f64 c a)) (neg.f64 (.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 4)) (/.f64 (pow.f64 b 3) (pow.f64 a 4)))))))
(+.f64 (+.f64 (fma.f64 -1 (.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (/.f64 (/.f64 b a) a)) (/.f64 d (/.f64 c (/.f64 d a)))) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 b (/.f64 (pow.f64 a 3) b)))) (.f64 (neg.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 4))) (/.f64 (pow.f64 b 3) (pow.f64 a 4))))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 d (/.f64 c (/.f64 d a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (/.f64 (pow.f64 d 2) (.f64 c a)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 c c) (.f64 a a)) b)) (/.f64 (.f64 d d) (*.f64 c a)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (/.f64 (/.f64 b a) a)) (/.f64 d (/.f64 c (/.f64 d a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (/.f64 (.f64 (pow.f64 d 4) (pow.f64 b 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (/.f64 (pow.f64 d 2) (.f64 c a))))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (.f64 (.f64 c c) (.f64 a a)) b)) (+.f64 (/.f64 (.f64 d d) (.f64 c a)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 (*.f64 b b) (pow.f64 a 3)))))
(+.f64 (fma.f64 -1 (.f64 (/.f64 (pow.f64 d 3) (.f64 c c)) (/.f64 (/.f64 b a) a)) (/.f64 d (/.f64 c (/.f64 d a)))) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 3)) (/.f64 b (/.f64 (pow.f64 a 3) b))))
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(+.f64 (pow.f64 (sqrt.f64 (*.f64 c (/.f64 a d))) 2) b)
(+.f64 b (pow.f64 (sqrt.f64 (/.f64 c (/.f64 d a))) 2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 (/.f64 a d) c))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 c (/.f64 a d)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (/.f64 c (/.f64 d a)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 a d) c)) 2) (cbrt.f64 (.f64 (/.f64 a d) c)) b)
(fma.f64 c (/.f64 a d) b)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 d (/.f64 c b)) a)
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	4.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 (/.f64 d (/.f64 c b)) a)))
	4.7b	(/.f64 d (/.f64 c b))

Compiler

Compiled 57 to 19 computations (66.7% saved)

series7.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite168.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`associate-/r/`
950×	`distribute-rgt-in`
906×	`distribute-lft-in`
658×	`associate-/l/`
334×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	328	42
2	4629	42

Stop Event

1×	node limit

Counts

2 → 213

Calls

Call 1

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

Outputs

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

simplify155.0ms (1%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-r`
824×	`associate-l`
816×	`+-commutative`
706×	`associate-/l*`
636×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	542	15855
1	1808	13827
2	7693	13827

Stop Event

1×	node limit

Counts

309 → 322

Calls

Call 1

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

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

eval977.0ms (6.4%)

Compiler: Compiled 55732 to 22809 computations (59.1% saved)

prune842.0ms (5.5%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1730	8	1738
Fresh	3	16	19
Picked	1	0	1
Done	2	6	8
Total	1736	30	1766

Error

Counts

1766 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	34.8b	(/.f64 (+.f64 (*.f64 (/.f64 a d) c) b) d)
	47.3b	(/.f64 (+.f64 c (.f64 (/.f64 c a) (.f64 d (/.f64 b c)))) (*.f64 (/.f64 c a) c))
	44.3b	(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) (hypot.f64 c d))
	36.8b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
✓	42.9b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	54.9b	(/.f64 (.f64 c a) (.f64 d d))
	58.1b	(/.f64 (neg.f64 b) d)
	58.7b	(/.f64 (neg.f64 b) c)
	58.5b	(/.f64 (neg.f64 a) d)
	55.8b	(/.f64 (neg.f64 a) c)
✓	38.5b	(/.f64 b d)
	59.1b	(/.f64 b c)
✓	58.6b	(/.f64 a d)
✓	34.9b	(/.f64 a c)
	53.5b	(/.f64 1 (/.f64 d (/.f64 c (/.f64 d a))))
	34.6b	(/.f64 1 (/.f64 d (+.f64 (/.f64 1 (/.f64 (/.f64 d a) c)) b)))
✓	35.0b	(/.f64 1 (/.f64 d (+.f64 (*.f64 (/.f64 a d) c) b)))
	38.7b	(/.f64 1 (/.f64 d b))
	29.2b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))
	28.5b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
	29.2b	(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
	28.2b	(+.f64 (/.f64 a c) (/.f64 1 (/.f64 c (/.f64 d (/.f64 c b)))))
	28.5b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	53.8b	(*.f64 (/.f64 a d) (/.f64 c d))
	24.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (pow.f64 (cbrt.f64 (.f64 d (/.f64 b (hypot.f64 c d)))) 3) a))
	24.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	44.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 a (*.f64 c (/.f64 1 d)))))
	51.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (*.f64 (/.f64 b c) d)))
✓	35.3b	(.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b))
	53.9b	(.f64 (/.f64 1 d) (.f64 a (/.f64 c d)))

Compiler

Compiled 397 to 257 computations (35.3% saved)

regimes431.0ms (2.8%)

Counts

57 → 1

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	b
32.0ms	c
29.0ms	d
28.0ms	a
23.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
1.0b	1	`a`
1.0b	1	`b`
1.0b	1	`c`
1.0b	1	`d`
1.0b	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 694 to 246 computations (64.6% saved)

regimes513.0ms (3.4%)

Counts

51 → 4

Calls

Call 1

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

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

Calls

5 calls:

139.0ms	a
124.0ms	b
120.0ms	d
88.0ms	c
31.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
10.9b	5	`a`
7.9b	5	`b`
4.4b	4	`c`
8.7b	5	`d`
7.5b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 578 to 208 computations (64% saved)

bsearch51.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	5.121227545730549e-107	7.449368705523478e-101
25.0ms	-7.366068538421277e-95	-9.541251862300203e-105
6.0ms	-1.3389631678483187e+157	-1.1571050021489448e+157

Results

41.0ms	352×	body	256	valid
4.0ms	14×	body	256	infinite

Compiler

Compiled 869 to 558 computations (35.8% saved)

regimes594.0ms (3.9%)

Counts

49 → 4

Calls

Call 1

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

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

Calls

5 calls:

187.0ms	a
172.0ms	b
106.0ms	d
88.0ms	c
30.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
11.0b	5	`a`
7.9b	5	`b`
4.4b	4	`c`
8.8b	5	`d`
7.5b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 545 to 200 computations (63.3% saved)

bsearch47.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
20.0ms	5.121227545730549e-107	7.449368705523478e-101
21.0ms	-7.366068538421277e-95	-9.541251862300203e-105
6.0ms	-1.3389631678483187e+157	-1.1571050021489448e+157

Results

40.0ms	352×	body	256	valid
2.0ms	18×	body	256	infinite

Compiler

Compiled 869 to 558 computations (35.8% saved)

regimes702.0ms (4.6%)

Counts

48 → 4

Calls

Call 1

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

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

Calls

5 calls:

211.0ms	a
191.0ms	b
117.0ms	d
113.0ms	c
57.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
13.0b	8	`a`
11.1b	7	`b`
5.4b	4	`c`
11.8b	4	`d`
10.7b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 529 to 196 computations (62.9% saved)

bsearch56.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	5.121227545730549e-107	7.449368705523478e-101
21.0ms	-7.366068538421277e-95	-9.541251862300203e-105
15.0ms	-6.05447204738526e+68	-1.716012455632541e+67

Results

49.0ms	416×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 1000 to 646 computations (35.4% saved)

regimes515.0ms (3.4%)

Counts

46 → 5

Calls

Call 1

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

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

Calls

5 calls:

143.0ms	b
130.0ms	a
100.0ms	c
76.0ms	d
56.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
16.8b	6	`a`
17.5b	7	`b`
7.3b	5	`c`
11.8b	4	`d`
10.8b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 500 to 184 computations (63.2% saved)

bsearch106.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	2.1097427863312842e+113	8.079173852145228e+113
58.0ms	8.909736466190447e-70	9.766375285682462e-49
21.0ms	-7.366068538421277e-95	-9.541251862300203e-105
15.0ms	-6.05447204738526e+68	-1.716012455632541e+67

Results

94.0ms	528×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 1256 to 806 computations (35.8% saved)

regimes556.0ms (3.6%)

Counts

34 → 3

Calls

Call 1

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

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

Calls

4 calls:

191.0ms	b
144.0ms	a
110.0ms	d
105.0ms	c

Results

Error	Segments	Branch
19.5b	8	`a`
22.4b	7	`b`
11.4b	3	`c`
13.2b	5	`d`

Compiler

Compiled 315 to 114 computations (63.8% saved)

bsearch86.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	8.909736466190447e-70	9.766375285682462e-49
20.0ms	-4.713165815804578e-46	-8.11741286241434e-58

Results

80.0ms	336×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 740 to 500 computations (32.4% saved)

regimes524.0ms (3.4%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

4 calls:

264.0ms	b
132.0ms	a
65.0ms	d
57.0ms	c

Results

Error	Segments	Branch
19.5b	8	`a`
22.7b	7	`b`
11.6b	3	`c`
13.2b	5	`d`

Compiler

Compiled 276 to 95 computations (65.6% saved)

bsearch51.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	8.909736466190447e-70	9.766375285682462e-49
22.0ms	-4.713165815804578e-46	-8.11741286241434e-58

Results

43.0ms	336×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 698 to 458 computations (34.4% saved)

regimes330.0ms (2.2%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

4 calls:

120.0ms	a
97.0ms	b
63.0ms	d
45.0ms	c

Results

Error	Segments	Branch
20.7b	11	`a`
22.7b	7	`b`
12.3b	3	`c`
13.2b	5	`d`

Compiler

Compiled 210 to 82 computations (61% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	8.909736466190447e-70	9.766375285682462e-49
20.0ms	-4.713165815804578e-46	-8.11741286241434e-58

Results

42.0ms	336×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 698 to 458 computations (34.4% saved)

regimes336.0ms (2.2%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

118.0ms	a
118.0ms	b
53.0ms	d
43.0ms	c

Results

Error	Segments	Branch
20.7b	11	`a`
22.0b	9	`b`
12.3b	3	`c`
13.8b	5	`d`

Compiler

Compiled 188 to 77 computations (59% saved)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	8.909736466190447e-70	9.766375285682462e-49
20.0ms	-4.713165815804578e-46	-8.11741286241434e-58

Results

37.0ms	336×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 698 to 458 computations (34.4% saved)

regimes278.0ms (1.8%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

98.0ms	a
89.0ms	b
50.0ms	d
38.0ms	c

Results

Error	Segments	Branch
20.7b	11	`a`
22.1b	9	`b`
12.5b	3	`c`
14.0b	5	`d`

Compiler

Compiled 166 to 70 computations (57.8% saved)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	8.909736466190447e-70	9.766375285682462e-49
20.0ms	-4.713165815804578e-46	-8.11741286241434e-58

Results

38.0ms	336×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 698 to 458 computations (34.4% saved)

regimes178.0ms (1.2%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

72.0ms	a
42.0ms	b
34.0ms	c
26.0ms	d

Results

Error	Segments	Branch
25.6b	9	`a`
26.5b	5	`b`
17.7b	3	`c`
19.4b	3	`d`

Compiler

Compiled 133 to 60 computations (54.9% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.7979256568020675e-5	56451.88068070134
18.0ms	-3.15818409965305e+74	-6.05447204738526e+68

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 458 to 323 computations (29.5% saved)

regimes169.0ms (1.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	a
38.0ms	b
33.0ms	c
25.0ms	d

Results

Error	Segments	Branch
25.9b	9	`a`
26.5b	5	`b`
17.9b	3	`c`
19.4b	3	`d`

Compiler

Compiled 122 to 55 computations (54.9% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.7979256568020675e-5	56451.88068070134
18.0ms	-3.15818409965305e+74	-6.05447204738526e+68

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 422 to 287 computations (32% saved)

regimes124.0ms (0.8%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	b
35.0ms	a
29.0ms	d
22.0ms	c

Results

Error	Segments	Branch
29.0b	5	`a`
28.2b	5	`b`
21.0b	3	`c`
22.3b	3	`d`

Compiler

Compiled 104 to 49 computations (52.9% saved)

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.7979256568020675e-5	56451.88068070134
15.0ms	-5.534274691388185e-67	-8.35038028344556e-69

Results

28.0ms	256×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 282 to 209 computations (25.9% saved)

regimes15.0ms (0.1%)

Accuracy

Total -25.8b remaining (-74%)

Threshold costs -25.8b (-74%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 a c)

Calls

4 calls:

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

Results

Error	Segments	Branch
34.9b	1	`a`
34.9b	1	`b`
34.9b	1	`c`
34.9b	1	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
24×	`+-commutative`
10×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	1508
1	197	1508

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 a (/.f64 (hypot.f64 c d) c))))
(if (<=.f64 c -13000000000000000545814985068482673153932600755199359587174942412051311805237030304947234573091544492450193241712064887320070451338303251369030072140480643072) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -2404907604760405/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))) (if (<=.f64 c 3954070125820579/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -11600000000000000416683004322616204580618527334180452313380363066993611545190839309395561110808362084061639459382887635937097769888440089575382670156775817216) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 423488980006253/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -97999999999999998008888491498649945860835218440398373904521057271808) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c -3711984199749931/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 8553702721162885/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -600000000000000043518861828917541075695024645787913173310926093287424) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c -492525077454931/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1479767320250067/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (if (<=.f64 c 800000000000000012447532903573474419414561117536849146695816464344667024931804562611988311932037958140965024694272) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))))))
(if (<=.f64 c -8433210856271181/102844034832575377634685573909834406561420991602098741459288064) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 7582485000136117/3369993333393829974333376885877453834204643052817571560137951281152) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) b) c))))
(if (<=.f64 c -7713302612443153/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 6151454740732423/452312848583266388373324160190187140051835877600158453279131187530910662656) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))))
(if (<=.f64 c -1090146769225299/411376139330301510538742295639337626245683966408394965837152256) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) b) c)) (if (<=.f64 c 2961908203178171/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) b) c))))
(if (<=.f64 c -5142201741628769/411376139330301510538742295639337626245683966408394965837152256) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 6252917317820583/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (+.f64 (/.f64 a c) (/.f64 d (.f64 (/.f64 c b) c)))))
(if (<=.f64 c -3488469661520957/6582018229284824168619876730229402019930943462534319453394436096) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 6318737500113431/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c)))))
(if (<=.f64 c -849999999999999962039510768017074063942061483429446726972435690223042560) (/.f64 a c) (if (<=.f64 c 52000) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (/.f64 a c)))
(if (<=.f64 c -93999999999999996090486233802526093350458004454608778487537899329814528) (/.f64 a c) (if (<=.f64 c 28000) (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d) (/.f64 a c)))
(if (<=.f64 c -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (/.f64 a c) (if (<=.f64 c 3600) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Outputs
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 a (/.f64 (hypot.f64 c d) c))))
(if (<=.f64 c -13000000000000000545814985068482673153932600755199359587174942412051311805237030304947234573091544492450193241712064887320070451338303251369030072140480643072) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -2404907604760405/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d)))) (if (<=.f64 c 3954070125820579/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -13000000000000000545814985068482673153932600755199359587174942412051311805237030304947234573091544492450193241712064887320070451338303251369030072140480643072) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -2404907604760405/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))) (if (<=.f64 c 3954070125820579/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (/.f64 1 d) (+.f64 b (.f64 a (.f64 c (/.f64 1 d))))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -11600000000000000416683004322616204580618527334180452313380363066993611545190839309395561110808362084061639459382887635937097769888440089575382670156775817216) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 c 423488980006253/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -11600000000000000416683004322616204580618527334180452313380363066993611545190839309395561110808362084061639459382887635937097769888440089575382670156775817216) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (if (<=.f64 c 423488980006253/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 (/.f64 1 d) (+.f64 b (.f64 a (.f64 c (/.f64 1 d))))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -97999999999999998008888491498649945860835218440398373904521057271808) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c -3711984199749931/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 8553702721162885/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -97999999999999998008888491498649945860835218440398373904521057271808) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c -3711984199749931/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 8553702721162885/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (/.f64 1 d) (+.f64 b (.f64 a (.f64 c (/.f64 1 d))))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a)))))
(if (<=.f64 c -600000000000000043518861828917541075695024645787913173310926093287424) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c -492525077454931/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1479767320250067/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (if (<=.f64 c 800000000000000012447532903573474419414561117536849146695816464344667024931804562611988311932037958140965024694272) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))))))
(if (<=.f64 c -600000000000000043518861828917541075695024645787913173310926093287424) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c -492525077454931/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1479767320250067/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (/.f64 1 d) (+.f64 b (.f64 a (.f64 c (/.f64 1 d))))) (if (<=.f64 c 800000000000000012447532903573474419414561117536849146695816464344667024931804562611988311932037958140965024694272) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (/.f64 (/.f64 b c) (/.f64 c d)))))))
(if (<=.f64 c -8433210856271181/102844034832575377634685573909834406561420991602098741459288064) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 7582485000136117/3369993333393829974333376885877453834204643052817571560137951281152) (.f64 (/.f64 1 d) (+.f64 (.f64 a (.f64 c (/.f64 1 d))) b)) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) b) c))))
(if (<=.f64 c -8433210856271181/102844034832575377634685573909834406561420991602098741459288064) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 7582485000136117/3369993333393829974333376885877453834204643052817571560137951281152) (.f64 (/.f64 1 d) (+.f64 b (.f64 a (.f64 c (/.f64 1 d))))) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c))))
(if (<=.f64 c -7713302612443153/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 6151454740732423/452312848583266388373324160190187140051835877600158453279131187530910662656) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))))
(if (<=.f64 c -7713302612443153/25711008708143844408671393477458601640355247900524685364822016) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 6151454740732423/452312848583266388373324160190187140051835877600158453279131187530910662656) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))))
(if (<=.f64 c -1090146769225299/411376139330301510538742295639337626245683966408394965837152256) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) b) c)) (if (<=.f64 c 2961908203178171/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) b) c))))
(if (or (<=.f64 c -1090146769225299/411376139330301510538742295639337626245683966408394965837152256) (not (<=.f64 c 2961908203178171/6582018229284824168619876730229402019930943462534319453394436096))) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (*.f64 c a) d))))
(if (<=.f64 c -5142201741628769/411376139330301510538742295639337626245683966408394965837152256) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 6252917317820583/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (+.f64 (/.f64 a c) (/.f64 d (.f64 (/.f64 c b) c)))))
(if (<=.f64 c -5142201741628769/411376139330301510538742295639337626245683966408394965837152256) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 6252917317820583/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d))) (+.f64 (/.f64 a c) (/.f64 d (.f64 c (/.f64 c b))))))
(if (<=.f64 c -3488469661520957/6582018229284824168619876730229402019930943462534319453394436096) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 6318737500113431/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c)))))
(if (or (<=.f64 c -3488469661520957/6582018229284824168619876730229402019930943462534319453394436096) (not (<=.f64 c 6318737500113431/6582018229284824168619876730229402019930943462534319453394436096))) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (*.f64 c a) d))))
(if (<=.f64 c -849999999999999962039510768017074063942061483429446726972435690223042560) (/.f64 a c) (if (<=.f64 c 52000) (.f64 (/.f64 1 d) (+.f64 (/.f64 (.f64 c a) d) b)) (/.f64 a c)))
(if (<=.f64 c -849999999999999962039510768017074063942061483429446726972435690223042560) (/.f64 a c) (if (<=.f64 c 52000) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d))) (/.f64 a c)))
(if (<=.f64 c -93999999999999996090486233802526093350458004454608778487537899329814528) (/.f64 a c) (if (<=.f64 c 28000) (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d) (/.f64 a c)))
(if (or (<=.f64 c -93999999999999996090486233802526093350458004454608778487537899329814528) (not (<=.f64 c 28000))) (/.f64 a c) (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d))
(if (<=.f64 c -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (/.f64 a c) (if (<=.f64 c 3600) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Compiler

Compiled 611 to 342 computations (44% saved)

soundness82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1832×	`associate-/r*`
1432×	`associate-l`
1154×	`associate-/l/`
800×	`*-commutative`
774×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	899	24277
1	2476	21857

Stop Event

1×	node limit

Compiler

Compiled 88 to 29 computations (67% saved)

end135.0ms (0.9%)

Compiler: Compiled 559 to 209 computations (62.6% saved)