Details

analyze362.0ms (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)

sample977.0ms (6.7%)

Results

907.0ms	8256×	body	256	valid
58.0ms	491×	body	256	infinite

Bogosity

preprocess14.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

23×	`fma-def_binary64`
8×	`+-commutative_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	126
1	64	126
2	74	126
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)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	18	18
2	22	18

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

25.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.5b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	25.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 (.f64 a c) (.f64 b d))
✓	25.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series13.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite114.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
506×	`fma-def_binary64`
354×	`pow2_binary64`
244×	`fma-neg_binary64`
242×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	264	25
2	3831	25

Stop Event

1×	node limit

Counts

2 → 109

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

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

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
615×	`unswap-sqr_binary64`
532×	`distribute-rgt-in_binary64`
264×	`cancel-sign-sub-inv_binary64`
197×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	3526
1	790	3357
2	2802	3276

Stop Event

1×	node limit

Counts

205 → 183

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 a c (*.f64 b d))
✓	25.0b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series9.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
397×	`exp-prod_binary64`
340×	`pow-prod-down_binary64`
271×	`pow2_binary64`
271×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	203	25
2	2573	25

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.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 (cbrt.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4)) (cbrt.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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 (sqrt.f64 (fma.f64 a c (.f64 b d))) (.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.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 (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 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (cbrt.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 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 (cbrt.f64 (pow.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 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 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 6) 1/3)))) (#(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) 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Outputs

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

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-def_binary64`
478×	`unswap-sqr_binary64`
424×	`associate-/r*_binary64`
303×	`distribute-rgt-in_binary64`
293×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	3156
1	611	3004
2	2172	2921

Stop Event

1×	node limit

Counts

179 → 150

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

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

eval75.0ms (0.5%)

Compiler: Compiled 6744 to 2096 computations (68.9% saved)

prune68.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	315	18	333
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	316	19	335

Error

0.2b

Counts

335 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	21.3b	(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
	38.1b	(/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)))) (+.f64 (.f64 c c) (.f64 d d)))
✓	25.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	48.5b	(/.f64 (.f64 (fma.f64 d b (.f64 c a)) (-.f64 (.f64 c c) (.f64 d d))) (-.f64 (pow.f64 c 4) (pow.f64 d 4)))
▶	38.1b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (.f64 c c) (*.f64 d d)))
	37.9b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
▶	39.9b	(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
	39.0b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	36.4b	(/.f64 b d)
▶	40.0b	(/.f64 a c)
	31.7b	(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
	30.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
▶	35.7b	(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
	36.8b	(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
	33.7b	(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
	36.4b	(.f64 (/.f64 (cbrt.f64 (pow.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)))
	35.8b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
	38.6b	(.f64 (/.f64 b (fma.f64 d d (.f64 c c))) d)
▶	18.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 673 to 385 computations (42.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
	0.2b	(fma.f64 a c (*.f64 b d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	17.2b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series18.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
411×	`pow-prod-down_binary64`
310×	`pow2_binary64`
254×	`prod-diff_binary64`
231×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	245	38
2	3129	38

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

Outputs

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

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

318×	`div-sub_binary64`
293×	`associate-/l*_binary64`
285×	`log-prod_binary64`
273×	`times-frac_binary64`
224×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	5210
1	1223	4884
2	4844	4871

Stop Event

1×	node limit

Counts

253 → 317

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.6b	(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
✓	9.6b	(/.f64 (.f64 d b) (.f64 c c))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series12.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(/.f64 (.f64 d b) (.f64 c c))
2.0ms	d	@	-inf	(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
1.0ms	d	@	0	(/.f64 (.f64 d b) (.f64 c c))
1.0ms	c	@	0	(/.f64 (.f64 d b) (.f64 c c))
1.0ms	d	@	inf	(/.f64 (.f64 d b) (.f64 c c))

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`log-prod_binary64`
469×	`fma-def_binary64`
330×	`pow2_binary64`
286×	`log-div_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	231	24
2	3919	24

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 d b) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 d b)) (pow.f64 c -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 d b)) (pow.f64 c -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 d b)) (pow.f64 c -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 d b)) (pow.f64 c -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 d b) (pow.f64 c -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (/.f64 1 (/.f64 c (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 b (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 d (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d b) (pow.f64 c -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 d b) (pow.f64 c -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 d b) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 d b) (pow.f64 c -2))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 d b) 2) (pow.f64 c 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 d b) 2) (pow.f64 c 4))) (cbrt.f64 (*.f64 (*.f64 d b) (pow.f64 c -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 d b) 2)) (*.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) c) (/.f64 (sqrt.f64 (*.f64 d b)) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 d b)) (*.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (neg.f64 b)) (/.f64 1 (*.f64 c (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d c) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b c) (/.f64 d c))))) 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egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 a c)) (*.f64 (*.f64 d b) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 c)) (*.f64 (*.f64 d b) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 a) (sqrt.f64 c)) (*.f64 (*.f64 d b) (pow.f64 c -2)))))))

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

554×	`unswap-sqr_binary64`
386×	`cancel-sign-sub-inv_binary64`
276×	`distribute-rgt-neg-in_binary64`
258×	`associate-/r*_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	4357
1	1067	4237
2	3749	4215

Stop Event

1×	node limit

Counts

247 → 257

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.7b	(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`prod-diff_binary64`
521×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
259×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	196	13
2	2838	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) a)))))) (#(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) (pow.f64 (hypot.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 4)) (cbrt.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2))))))) (#(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 (/.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 (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 a (neg.f64 c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) -2) (*.f64 c 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 a 1) (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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 (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 c (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 a (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule 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#<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 (*.f64 c a) (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c a) (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (*.f64 d d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2))) 3)))) (#(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 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (hypot.f64 c d) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 c a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c a) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (*.f64 a (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (hypot.f64 c d) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) (pow.f64 (hypot.f64 c d) -2))) 1))))))

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-neg_binary64`
833×	`times-frac_binary64`
724×	`associate-/l*_binary64`
396×	`associate-/r*_binary64`
351×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	1798
1	496	1723
2	1560	1669
3	7633	1669

Stop Event

1×	node limit

Counts

87 → 93

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

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))
✓	5.3b	(-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))
✓	25.0b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (.f64 c c) (*.f64 d d)))
✓	33.1b	(.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (*.f64 b d))))

Compiler

Compiled 116 to 40 computations (65.5% saved)

series34.0ms (0.2%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))
1.0ms	a	@	-inf	(.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (*.f64 b d))))
1.0ms	a	@	0	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (.f64 c c) (*.f64 d d)))
1.0ms	a	@	0	(.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (*.f64 b d))))
1.0ms	b	@	0	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (.f64 c c) (*.f64 d d)))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`fma-neg_binary64`
357×	`expm1-udef_binary64`
357×	`log1p-udef_binary64`
220×	`add-sqr-sqrt_binary64`
217×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	95
1	438	54
2	6291	54

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

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

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-neg_binary64`
440×	`associate-r_binary64`
434×	`associate-/l*_binary64`
431×	`times-frac_binary64`
408×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	540	9379
1	1624	8129
2	7768	8117

Stop Event

1×	node limit

Counts

370 → 303

Calls

Call 1

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

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

eval360.0ms (2.5%)

Compiler: Compiled 24920 to 9418 computations (62.2% saved)

prune259.0ms (1.8%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1007	14	1021
Fresh	6	7	13
Picked	1	0	1
Done	2	3	5
Total	1016	24	1040

Error

0.0b

Counts

1040 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.3b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
✓	25.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	46.9b	(/.f64 (.f64 (pow.f64 (.f64 c a) 2) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (.f64 c c) (.f64 d d)))
	37.9b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
	54.3b	(/.f64 (.f64 c a) (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (*.f64 c c))))
✓	39.9b	(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
	53.1b	(/.f64 (.f64 c a) (.f64 d d))
	39.0b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
▶	36.4b	(/.f64 b d)
✓	40.0b	(/.f64 a c)
	31.7b	(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
	30.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	33.7b	(+.f64 (/.f64 a c) (pow.f64 (*.f64 (/.f64 c b) (/.f64 c d)) -1))
▶	33.5b	(+.f64 (/.f64 a c) (/.f64 (*.f64 b (neg.f64 (/.f64 d c))) (neg.f64 c)))
▶	35.6b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) b))
	33.7b	(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
	35.5b	(+.f64 (/.f64 a c) (*.f64 d (/.f64 (/.f64 b c) c)))
	35.8b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
	29.6b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
	51.4b	(*.f64 (/.f64 c d) (/.f64 a d))
	18.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 d b) (*.f64 c a)) (hypot.f64 c d)))
	43.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (.f64 (neg.f64 a) c) d) b))
▶	42.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a)))))
	44.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)

Compiler

Compiled 709 to 437 computations (38.4% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	0.2b	(fma.f64 a c (*.f64 b d))
	17.2b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 44 to 9 computations (79.5% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
351×	`pow-prod-down_binary64`
284×	`pow2_binary64`
263×	`prod-diff_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	209	17
2	2798	17

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4)) (cbrt.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) (/.f64 1 (neg.f64 (hypot.f64 c d))))))) (#(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 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))) (pow.f64 (hypot.f64 c d) -3/2))))) (#(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 (fma.f64 a c (*.f64 b d)) 1) (pow.f64 (hypot.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 (/.f64 1 (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (cbrt.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6) 1/3)))) (#(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 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 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 pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(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 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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.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 exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 1) 1))))))

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

557×	`times-frac_binary64`
521×	`associate-/l*_binary64`
376×	`log-prod_binary64`
327×	`associate-l_binary64`
315×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	2352
1	476	2219
2	1378	2138
3	6840	2133

Stop Event

1×	node limit

Counts

98 → 113

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

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

localize5.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.6b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) b))
✓	4.1b	(.f64 (/.f64 d (.f64 c c)) b)
✓	6.5b	(/.f64 d (*.f64 c c))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
441×	`pow-prod-down_binary64`
347×	`fma-def_binary64`
310×	`pow2_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	223	31
2	3378	31

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

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

Outputs

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#<rule egg-rr> (2) ((x fma.f64 (/.f64 d (*.f64 (cbrt.f64 c) c)) (/.f64 b (pow.f64 (cbrt.f64 c) 2)) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 d) c) (cbrt.f64 b)) 2) (cbrt.f64 b) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 d (pow.f64 c -2)) (sqrt.f64 b)) (sqrt.f64 b) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 d) c) 4))) (cbrt.f64 (*.f64 d (pow.f64 c -2))) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (/.f64 (sqrt.f64 d) c)) (/.f64 (sqrt.f64 d) c) (/.f64 a c))))))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

347×	`associate-/l/_binary64`
339×	`distribute-rgt-in_binary64`
320×	`distribute-lft-in_binary64`
314×	`unswap-sqr_binary64`
204×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	3669
1	894	3611
2	2829	3605

Stop Event

1×	node limit

Counts

259 → 205

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (*.f64 b (neg.f64 (/.f64 d c))) (neg.f64 c))
✓	1.6b	(+.f64 (/.f64 a c) (/.f64 (*.f64 b (neg.f64 (/.f64 d c))) (neg.f64 c)))
✓	4.7b	(*.f64 b (neg.f64 (/.f64 d c)))

Compiler

Compiled 48 to 11 computations (77.1% saved)

series14.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`log-prod_binary64`
378×	`fma-def_binary64`
262×	`fma-neg_binary64`
253×	`log-div_binary64`
216×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	276	32
2	4876	31

Stop Event

1×	node limit

Counts

3 → 269

Calls

Call 1

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

Outputs

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

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

462×	`fma-neg_binary64`
278×	`log-prod_binary64`
262×	`associate-r_binary64`
210×	`fma-def_binary64`
207×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	511	6576
1	1299	6253
2	5096	6094

Stop Event

1×	node limit

Counts

389 → 408

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (/.f64 c (/.f64 d a)))
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	4.8b	(/.f64 c (/.f64 d a))
✓	5.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a)))))

Compiler

Compiled 57 to 19 computations (66.7% saved)

series15.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`log-prod_binary64`
292×	`fma-def_binary64`
252×	`expm1-udef_binary64`
252×	`log1p-udef_binary64`
241×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	305	29
2	4489	29

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

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

Outputs

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

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

491×	`fma-neg_binary64`
386×	`div-sub_binary64`
308×	`log-prod_binary64`
232×	`exp-prod_binary64`
226×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	482	5192
1	1228	4556
2	4419	4556

Stop Event

1×	node limit

Counts

338 → 319

Calls

Call 1

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

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

eval300.0ms (2.1%)

Compiler: Compiled 27867 to 9521 computations (65.8% saved)

prune393.0ms (2.7%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1299	15	1314
Fresh	8	8	16
Picked	1	0	1
Done	2	5	7
Total	1310	28	1338

Error

0.0b

Counts

1338 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.3b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
▶	18.3b	(/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d))
	49.4b	(/.f64 (-.f64 (*.f64 d (/.f64 b c)) a) c)
	42.1b	(/.f64 (-.f64 (neg.f64 b) (*.f64 (/.f64 c d) a)) (hypot.f64 c d))
✓	25.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
▶	37.9b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
✓	39.9b	(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
	53.1b	(/.f64 (.f64 c a) (.f64 d d))
	57.8b	(/.f64 (neg.f64 b) d)
	58.6b	(/.f64 (neg.f64 a) d)
	39.0b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	51.4b	(/.f64 d (/.f64 (*.f64 c c) b))
✓	36.4b	(/.f64 b d)
	44.1b	(/.f64 a (hypot.f64 c d))
▶	58.2b	(/.f64 a d)
✓	40.0b	(/.f64 a c)
	40.9b	(-.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	30.5b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c (/.f64 d a)) d))
	30.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	33.7b	(+.f64 (/.f64 a c) (pow.f64 (*.f64 (/.f64 c d) (/.f64 c b)) -1))
▶	33.5b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
	35.5b	(+.f64 (/.f64 a c) (*.f64 d (/.f64 (/.f64 b c) c)))
	35.8b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
	29.6b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
▶	51.4b	(*.f64 (/.f64 c d) (/.f64 a d))
	30.6b	(.f64 (/.f64 -1 d) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a)))))
	50.0b	(*.f64 b (/.f64 (/.f64 d c) c))
	50.8b	(.f64 b (/.f64 d (.f64 c c)))

Compiler

Compiled 672 to 415 computations (38.2% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d))
✓	0.5b	(+.f64 (.f64 d b) (.f64 c a))
✓	17.2b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d))

Compiler

Compiled 50 to 10 computations (80% saved)

series13.0ms (0.1%)

Counts

3 → 108

Calls

36 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log-prod_binary64`
347×	`fma-def_binary64`
328×	`pow2_binary64`
228×	`pow1/3_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	240	39
2	3463	39

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 d b (*.f64 c a)) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 2) (*.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))) 2) (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (*.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))) (sqrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (/.f64 1 (neg.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (fma.f64 d b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) 1) (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) -2) (/.f64 (fma.f64 d b (*.f64 c a)) (cbrt.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))) (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))) (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (cbrt.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -1/2) (/.f64 (fma.f64 d b (*.f64 c a)) (sqrt.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 2) (sqrt.f64 (hypot.f64 d c))) (/.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) (sqrt.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 d c) (fma.f64 d b (*.f64 c a))) -1)))) (#(struct:change #<rule 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c a)) (hypot.f64 d c)) (neg.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 d c)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 d b (*.f64 c a))) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d b (*.f64 c a))) (hypot.f64 d c)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 d c)) 3) (pow.f64 (hypot.f64 d c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))) 1))))))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

304×	`div-sub_binary64`
302×	`cancel-sign-sub-inv_binary64`
295×	`associate-/l*_binary64`
282×	`log-prod_binary64`
239×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	5092
1	1082	4803
2	4248	4787

Stop Event

1×	node limit

Counts

261 → 293

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`pow1_binary64`
826×	`add-log-exp_binary64`
826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
806×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	2247	10

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

765×	`log-div_binary64`
711×	`log-prod_binary64`
482×	`associate-/l*_binary64`
473×	`fma-def_binary64`
384×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	822
1	329	822
2	1261	822
3	5598	822

Stop Event

1×	node limit

Counts

82 → 51

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (*.f64 (/.f64 d c) b) c)
✓	1.6b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
✓	4.7b	(*.f64 (/.f64 d c) b)

Compiler

Compiled 37 to 9 computations (75.7% saved)

series7.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
448×	`fma-def_binary64`
328×	`pow2_binary64`
291×	`log-div_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	229	33
2	3769	31

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

337×	`div-sub_binary64`
335×	`log-prod_binary64`
327×	`fma-neg_binary64`
243×	`associate-r_binary64`
203×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	4808
1	1131	4168
2	4599	4166

Stop Event

1×	node limit

Counts

309 → 259

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	18.2b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`prod-diff_binary64`
521×	`log-prod_binary64`
368×	`pow-prod-down_binary64`
259×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	196	13
2	2837	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (/.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 d (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4)) (cbrt.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (*.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 d b)) (*.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (neg.f64 b)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -2) (*.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d 1) (/.f64 b (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) 1) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 d (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (cbrt.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (*.f64 d b) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (*.f64 d b)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d b) (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d b) (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (*.f64 d d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 d b) (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) 1))))))

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

830×	`times-frac_binary64`
722×	`associate-/l*_binary64`
656×	`associate-r_binary64`
375×	`associate-/r*_binary64`
336×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1792
1	496	1723
2	1548	1660

Stop Event

1×	node limit

Counts

87 → 94

Calls

Call 1

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

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

eval237.0ms (1.6%)

Compiler: Compiled 12938 to 4004 computations (69.1% saved)

prune291.0ms (2%)

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	691	6	697
Fresh	6	12	18
Picked	0	1	1
Done	0	9	9
Total	697	28	725

Error

0.0b

Counts

725 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.3b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
✓	18.3b	(/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d))
	51.4b	(/.f64 (/.f64 a d) (/.f64 d c))
	49.4b	(/.f64 (-.f64 (*.f64 d (/.f64 b c)) a) c)
✓	25.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	51.3b	(/.f64 (*.f64 (/.f64 c d) a) d)
✓	37.9b	(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
	50.7b	(/.f64 (.f64 d b) (.f64 c c))
✓	39.9b	(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
	53.1b	(/.f64 (.f64 c a) (.f64 d d))
	57.8b	(/.f64 (neg.f64 b) d)
	58.6b	(/.f64 (neg.f64 a) d)
	39.0b	(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
✓	36.4b	(/.f64 b d)
	44.1b	(/.f64 a (hypot.f64 c d))
✓	58.2b	(/.f64 a d)
✓	40.0b	(/.f64 a c)
	40.9b	(-.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	30.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
	33.5b	(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
✓	33.5b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
	34.5b	(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
	35.8b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
	49.0b	(*.f64 (/.f64 d c) (/.f64 b c))
	29.6b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
✓	51.4b	(*.f64 (/.f64 c d) (/.f64 a d))
	30.6b	(.f64 (/.f64 -1 d) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a)))))
	50.8b	(.f64 b (/.f64 d (.f64 c c)))

Compiler

Compiled 358 to 220 computations (38.5% saved)

regimes787.0ms (5.4%)

Counts

55 → 5

Calls

Call 1

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

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

Calls

5 calls:

246.0ms	d
205.0ms	b
185.0ms	c
102.0ms	a
30.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.8b	3	`a`
12.0b	5	`b`
7.1b	5	`c`
8.2b	6	`d`
9.9b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 690 to 208 computations (69.9% saved)

bsearch69.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	5.271487826344488e+134	1.7545953321936458e+140
13.0ms	2.1144691724313378e-176	9.300481935595522e-176
18.0ms	-2.2208134109884958e-35	-1.1356281089297743e-41
18.0ms	-1.290919781155743e+107	-2.989122740552751e+101

Results

62.0ms	528×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 1289 to 701 computations (45.6% saved)

regimes660.0ms (4.5%)

Counts

52 → 5

Calls

Call 1

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

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

Calls

5 calls:

171.0ms	b
171.0ms	c
134.0ms	a
110.0ms	d
63.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.8b	3	`a`
12.0b	5	`b`
7.7b	5	`c`
9.9b	5	`d`
8.9b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 623 to 189 computations (69.7% saved)

bsearch83.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	5.271487826344488e+134	1.7545953321936458e+140
27.0ms	2.4319252789913773e-163	7.730595376691428e-148
18.0ms	-2.2208134109884958e-35	-1.1356281089297743e-41
18.0ms	-1.290919781155743e+107	-2.989122740552751e+101

Results

75.0ms	592×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 1339 to 766 computations (42.8% saved)

regimes576.0ms (4%)

Counts

50 → 5

Calls

Call 1

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

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

Calls

5 calls:

146.0ms	b
124.0ms	c
119.0ms	d
111.0ms	a
61.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.8b	3	`a`
12.0b	5	`b`
7.7b	5	`c`
9.9b	5	`d`
8.9b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 593 to 184 computations (69% saved)

bsearch100.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	5.271487826344488e+134	1.7545953321936458e+140
34.0ms	2.4319252789913773e-163	7.730595376691428e-148
17.0ms	-2.2208134109884958e-35	-1.1356281089297743e-41
31.0ms	-1.290919781155743e+107	-2.989122740552751e+101

Results

92.0ms	592×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 1358 to 785 computations (42.2% saved)

regimes933.0ms (6.4%)

Counts

45 → 5

Calls

Call 1

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

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

Calls

5 calls:

315.0ms	b
176.0ms	a
156.0ms	d
136.0ms	c
125.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
17.3b	6	`a`
15.0b	8	`b`
9.5b	5	`c`
11.4b	5	`d`
12.5b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 484 to 152 computations (68.6% saved)

bsearch105.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	5.271487826344488e+134	1.7545953321936458e+140
55.0ms	2.7982750490366517e-120	3.875414140927982e-109
13.0ms	-4.188793093120258e-24	-4.5111447236141075e-25
19.0ms	-1.290919781155743e+107	-2.989122740552751e+101

Results

96.0ms	544×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 1212 to 718 computations (40.8% saved)

regimes597.0ms (4.1%)

Counts

44 → 5

Calls

Call 1

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

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

Calls

5 calls:

184.0ms	b
137.0ms	a
101.0ms	c
94.0ms	d
63.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
17.3b	6	`a`
15.0b	8	`b`
9.5b	5	`c`
11.4b	5	`d`
12.5b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 471 to 149 computations (68.4% saved)

bsearch76.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	5.271487826344488e+134	1.7545953321936458e+140
26.0ms	2.7982750490366517e-120	3.875414140927982e-109
11.0ms	-4.188793093120258e-24	-4.5111447236141075e-25
21.0ms	-1.290919781155743e+107	-2.989122740552751e+101

Results

61.0ms	544×	body	256	valid
8.0ms	6×	body	256	infinite

Compiler

Compiled 1250 to 756 computations (39.5% saved)

regimes641.0ms (4.4%)

Counts

43 → 5

Calls

Call 1

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

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

Calls

5 calls:

235.0ms	a
184.0ms	b
83.0ms	d
81.0ms	c
49.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
18.2b	9	`a`
17.8b	8	`b`
10.0b	5	`c`
11.4b	5	`d`
15.5b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 460 to 147 computations (68% saved)

bsearch86.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	1.6389379374064797e+119	1.0856047431018745e+128
19.0ms	2.7982750490366517e-120	3.875414140927982e-109
12.0ms	-4.188793093120258e-24	-4.5111447236141075e-25
17.0ms	-1.290919781155743e+107	-2.989122740552751e+101

Results

57.0ms	544×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 1268 to 783 computations (38.2% saved)

regimes578.0ms (4%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

5 calls:

190.0ms	b
150.0ms	a
106.0ms	c
84.0ms	d
40.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
18.2b	9	`a`
17.8b	8	`b`
10.0b	5	`c`
11.4b	5	`d`
15.5b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 382 to 120 computations (68.6% saved)

bsearch69.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.6389379374064797e+119	1.0856047431018745e+128
20.0ms	2.7982750490366517e-120	3.875414140927982e-109
11.0ms	-4.188793093120258e-24	-4.5111447236141075e-25
18.0ms	-1.290919781155743e+107	-2.989122740552751e+101

Results

61.0ms	544×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 1250 to 765 computations (38.8% saved)

regimes540.0ms (3.7%)

Counts

32 → 5

Calls

Call 1

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

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

Calls

4 calls:

217.0ms	a
176.0ms	b
74.0ms	d
66.0ms	c

Results

Error	Segments	Branch
19.3b	10	`a`
19.4b	12	`b`
13.9b	5	`c`
13.4b	5	`d`

Compiler

Compiled 304 to 92 computations (69.7% saved)

bsearch72.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	1.2473614957010528e+57	8.664998975954431e+58
27.0ms	2.2130080612792814e+53	2.779564360023443e+55
13.0ms	4.054318609696521e-54	9.812217919948726e-53
18.0ms	-0.008335796012432227	-2.090341051199116e-10

Results

66.0ms	480×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 874 to 561 computations (35.8% saved)

regimes479.0ms (3.3%)

Counts

29 → 5

Calls

Call 1

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

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

Calls

4 calls:

199.0ms	b
138.0ms	a
72.0ms	d
64.0ms	c

Results

Error	Segments	Branch
19.7b	10	`a`
20.4b	10	`b`
13.9b	5	`c`
14.5b	3	`d`

Compiler

Compiled 267 to 80 computations (70% saved)

bsearch71.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	1.6389379374064797e+119	1.0856047431018745e+128
20.0ms	7.822561209835958e+20	2.7900131246801692e+35
21.0ms	2.7982750490366517e-120	3.875414140927982e-109
13.0ms	-1.1408644507709824e+59	-2.3517802765682173e+57

Results

64.0ms	576×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 1178 to 737 computations (37.4% saved)

regimes336.0ms (2.3%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

144.0ms	a
100.0ms	b
46.0ms	c
42.0ms	d

Results

Error	Segments	Branch
20.9b	14	`a`
23.0b	10	`b`
19.4b	3	`c`
17.5b	3	`d`

Compiler

Compiled 201 to 66 computations (67.2% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.642112784900856e+44	3.8649129283642416e+46
15.0ms	-1.0334011572891394e+40	-7.65606854374974e+36

Results

26.0ms

240×

body

256

valid

Compiler

Compiled 386 to 257 computations (33.4% saved)

regimes281.0ms (1.9%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

110.0ms	a
94.0ms	b
37.0ms	d
36.0ms	c

Results

Error	Segments	Branch
22.2b	12	`a`
23.0b	10	`b`
19.4b	3	`c`
17.8b	3	`d`

Compiler

Compiled 179 to 60 computations (66.5% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.642112784900856e+44	3.8649129283642416e+46
15.0ms	-1.0334011572891394e+40	-7.65606854374974e+36

Results

25.0ms

240×

body

256

valid

Compiler

Compiled 386 to 257 computations (33.4% saved)

regimes247.0ms (1.7%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

97.0ms	a
81.0ms	b
33.0ms	c
33.0ms	d

Results

Error	Segments	Branch
22.2b	12	`a`
23.0b	10	`b`
19.4b	3	`c`
18.0b	3	`d`

Compiler

Compiled 146 to 56 computations (61.6% saved)

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.642112784900856e+44	3.8649129283642416e+46
15.0ms	-1.0334011572891394e+40	-7.65606854374974e+36

Results

27.0ms

240×

body

256

valid

Compiler

Compiled 386 to 257 computations (33.4% saved)

regimes215.0ms (1.5%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

80.0ms	a
72.0ms	b
31.0ms	d
30.0ms	c

Results

Error	Segments	Branch
24.3b	11	`a`
24.1b	10	`b`
20.4b	3	`c`
19.5b	3	`d`

Compiler

Compiled 124 to 53 computations (57.3% saved)

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.642112784900856e+44	3.8649129283642416e+46
16.0ms	-1.0334011572891394e+40	-7.65606854374974e+36

Results

27.0ms

240×

body

256

valid

Compiler

Compiled 386 to 257 computations (33.4% saved)

regimes213.0ms (1.5%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

4 calls:

76.0ms	b
68.0ms	a
36.0ms	d
30.0ms	c

Results

Error	Segments	Branch
25.5b	10	`a`
25.1b	11	`b`
24.3b	3	`c`
21.7b	5	`d`

Compiler

Compiled 113 to 50 computations (55.8% saved)

bsearch58.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	1.642112784900856e+44	3.8649129283642416e+46
12.0ms	1.9167656488817915e-32	1.5864120903741768e-31
16.0ms	7.073621172343071e-76	1.4854379899528078e-71
16.0ms	-1.0334011572891394e+40	-7.65606854374974e+36

Results

52.0ms	464×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 546 to 393 computations (28% saved)

regimes131.0ms (0.9%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	a
41.0ms	b
23.0ms	d
19.0ms	c

Results

Error	Segments	Branch
26.3b	10	`a`
26.4b	9	`b`
24.3b	3	`c`
21.9b	5	`d`

Compiler

Compiled 62 to 35 computations (43.5% saved)

bsearch61.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	1.642112784900856e+44	3.8649129283642416e+46
17.0ms	1.2862483769149905e-30	2.341191560040779e-23
15.0ms	1.1959410940982341e-57	4.054318609696521e-54
15.0ms	-1.0334011572891394e+40	-7.65606854374974e+36

Results

55.0ms	512×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 538 to 401 computations (25.5% saved)

regimes14.0ms (0.1%)

Accuracy

Total -20.2b remaining (-50.4%)

Threshold costs -20.2b (-50.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 a c)

Calls

4 calls:

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

Results

Error	Segments	Branch
40.0b	1	`a`
40.0b	1	`b`
40.0b	1	`c`
40.0b	1	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
10×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	1253
1	237	1253

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -47000000000000003272905442052163940396596279121117401167101130289196219856556923646398879700298078617600) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5884782876925013/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 3279254193915953/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 660000000000000005149032023119036238333545592978067723328009787223742542436980195198896087406516446741676412164770686292127703192995627008) (fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
(if (<=.f64 c -116000000000000008115732718241355157691277837349102647368165233149030972822706936939730929415478653990469632) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2746232009231673/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 251939172494419/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 155000000000000001785162341875520547483410407621884613662385166248699689646068162937291247740741019840066121042993553276734455923185989713920) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
(if (<=.f64 c -2159999999999999876823109664281504078448607549306679678373280987413643675521837628227438838225125362368512) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -344811496694825/766247770432944429179173513575154591809369561091801088) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 634025687370019/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 13000000000000000633520302606616726199304697122915901988036537967701592116136992465323826864507751935262971824607218177394684136064548864) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
(if (<=.f64 c -130000000000000000249037761145506935708074166544474961449864456897919312146518538274960698864063442059264) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -6805647338418769/2722258935367507707706996859454145691648) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1380993576161653/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000) (/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d))) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
(if (<=.f64 c -4200000000000000027938764816477074378322301460386640050860020793211301859275311850763571689955692380160) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2504478220538107/5444517870735015415413993718908291383296) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 2555292390101743/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 46000000000000000188599936922929401729571961987000058336757051679339923748046657246212478046252769333083256340648262341435406519127012016128) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
(if (<=.f64 c -62999999999999997383420437201818451958381279217605192789715967431159060632537562805608005584831661448626176) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2504478220538107/5444517870735015415413993718908291383296) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1454323131338547/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 1450000000000000071345593553287220346393181699166966011223258328266919164729283375101820509519699390707737007580560490496) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (pow.f64 (*.f64 (/.f64 c b) (/.f64 c d)) -1))))))
(if (<=.f64 c -33500000000000001655609471883428657560457690833210620695078600290591903170318349382811801301230842544128) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5226737155905615/10889035741470030830827987437816582766592) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 475960297528979/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 2200000000000000128020026563522605970482938572029939299757400473648783592499506150041752463482343972711898848657795973120) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 d -4242751136953197/4611686018427387904) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d 8282095616148677/431359146674410236714672241392314090778194310760649159697657763987456) (+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c)) (if (<=.f64 d 25999999999999999993885848993871559119691723206429769728) (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 d 3799999999999999870113200684767016490761862205266370494464) (/.f64 a c) (+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))))))
(if (<=.f64 c -18500000000000000981526090069502939210899204151507175866368) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 8038440580489423/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 349999999999999978812121022464) (+.f64 (/.f64 a c) (.f64 (/.f64 (/.f64 d c) c) b)) (if (<=.f64 c 170000000000000006634646064013577064181038299739121814077042040622461226838614055646801786825219750064643102637582974976) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 d -12999999999999999518450617734498615296) (/.f64 b d) (if (<=.f64 d 249999999999999982439322256133887804982689792) (+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c)) (/.f64 b d)))
(if (<=.f64 d -81999999999999995509498824826946584576) (/.f64 b d) (if (<=.f64 d 1049999999999999973782050984320931337053667328) (+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b)) (/.f64 b d)))
(if (<=.f64 d -7000000000000000333542801860365484294144) (/.f64 b d) (if (<=.f64 d 439999999999999991277092674789657062961840128) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b d)))
(if (<=.f64 d -550000000000000034842118857704639299584) (/.f64 b d) (if (<=.f64 d 27000000000000001589485954290090737054064312320) (+.f64 (/.f64 a c) (*.f64 d (/.f64 (/.f64 b c) c))) (/.f64 b d)))
(if (<=.f64 d -8000000000000000339365098992143695872) (/.f64 b d) (if (<=.f64 d 652736747787845/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 a c) (if (<=.f64 d 890602560248519/45671926166590716193865151022383844364247891968) (*.f64 (/.f64 d c) (/.f64 b c)) (if (<=.f64 d 499999999999999964878644512267775609965379584) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 d -399999999999999990995239293824136118272) (/.f64 b d) (if (<=.f64 d 15838968666951/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 a c) (if (<=.f64 d 3972320238488267/696898287454081973172991196020261297061888) (/.f64 b d) (if (<=.f64 d 439999999999999991277092674789657062961840128) (/.f64 a c) (/.f64 b d)))))
(/.f64 a c)

Outputs
(if (<=.f64 c -47000000000000003272905442052163940396596279121117401167101130289196219856556923646398879700298078617600) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5884782876925013/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 3279254193915953/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 660000000000000005149032023119036238333545592978067723328009787223742542436980195198896087406516446741676412164770686292127703192995627008) (fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
(if (<=.f64 c -47000000000000003272905442052163940396596279121117401167101130289196219856556923646398879700298078617600) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5884782876925013/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 3279254193915953/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 660000000000000005149032023119036238333545592978067723328009787223742542436980195198896087406516446741676412164770686292127703192995627008) (fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 a (/.f64 c (fma.f64 d d (.f64 c c))))) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
(if (<=.f64 c -116000000000000008115732718241355157691277837349102647368165233149030972822706936939730929415478653990469632) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2746232009231673/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 251939172494419/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 155000000000000001785162341875520547483410407621884613662385166248699689646068162937291247740741019840066121042993553276734455923185989713920) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
(if (<=.f64 c -116000000000000008115732718241355157691277837349102647368165233149030972822706936939730929415478653990469632) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -2746232009231673/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 251939172494419/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 155000000000000001785162341875520547483410407621884613662385166248699689646068162937291247740741019840066121042993553276734455923185989713920) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
(if (<=.f64 c -2159999999999999876823109664281504078448607549306679678373280987413643675521837628227438838225125362368512) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -344811496694825/766247770432944429179173513575154591809369561091801088) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 634025687370019/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 13000000000000000633520302606616726199304697122915901988036537967701592116136992465323826864507751935262971824607218177394684136064548864) (/.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))))))
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(if (<=.f64 d -8000000000000000339365098992143695872) (/.f64 b d) (if (<=.f64 d 652736747787845/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 a c) (if (<=.f64 d 890602560248519/45671926166590716193865151022383844364247891968) (*.f64 (/.f64 d c) (/.f64 b c)) (if (<=.f64 d 499999999999999964878644512267775609965379584) (/.f64 a c) (/.f64 b d)))))
(if (<=.f64 d -399999999999999990995239293824136118272) (/.f64 b d) (if (<=.f64 d 15838968666951/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 a c) (if (<=.f64 d 3972320238488267/696898287454081973172991196020261297061888) (/.f64 b d) (if (<=.f64 d 439999999999999991277092674789657062961840128) (/.f64 a c) (/.f64 b d)))))
(/.f64 a c)

Compiler

Compiled 924 to 432 computations (53.2% saved)

soundness275.0ms (1.9%)

Algorithm

6×	egg-herbie

Rules

777×	`fma-def_binary64`
777×	`fma-def_binary64`
752×	`fma-def_binary64`
752×	`fma-def_binary64`
615×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	18	18
2	22	18
0	251	3156
1	611	3004
2	2172	2921
0	311	3526
1	790	3357
2	2802	3276
0	311	3526
1	790	3357
2	2802	3276
0	12	18
1	18	18
2	22	18
0	251	3156
1	611	3004
2	2172	2921

Stop Event

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

Compiler

Compiled 551 to 342 computations (37.9% saved)

end150.0ms (1%)

Compiler: Compiled 864 to 214 computations (75.2% saved)