Details

analyze369.0ms (2.6%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.1s (7.4%)

Results

984.0ms	8256×	body	256	valid
61.0ms	511×	body	256	infinite

Bogosity

preprocess67.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1882×	`associate-+l-`
1124×	`associate-+r-`
826×	`associate-r`
824×	`associate-/l*`
758×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	273
1	112	273
2	223	273
3	368	273
4	803	273
5	1768	273
6	3331	273
7	6654	273
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1536×	`times-frac`
956×	`associate-/r/`
924×	`distribute-lft-neg-in`
860×	`distribute-rgt-neg-in`
752×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	28	39
2	52	39
3	84	39
4	159	39
5	298	39
6	479	39
7	757	39
8	1457	39
9	2303	39
10	3004	39
11	4782	39

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 33 to 13 computations (60.6% 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

24.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (*.f64 d d)))
▶	24.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 37 to 21 computations (43.2% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.5b	(-.f64 (.f64 b c) (.f64 a d))
✓	24.4b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series9.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite145.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`associate-*l/`
1790×	`associate-/r*`
408×	`associate-+l+`
318×	`add-sqr-sqrt`
314×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	295	69
2	4440	69

Stop Event

1×	node limit

Counts

3 → 255

Calls

Call 1

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

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

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

simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

936×	`times-frac`
868×	`associate-/l*`
856×	`fma-def`
738×	`associate-r`
646×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	652	17311
1	1831	15457

Stop Event

1×	node limit

Counts

375 → 383

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 c c (*.f64 d d))
	0.5b	(-.f64 (.f64 b c) (.f64 a d))
✓	24.4b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (*.f64 d d)))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`associate-*r/`
1476×	`associate-/r*`
1308×	`associate-*l/`
340×	`associate-+l+`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	283	50
2	4014	50

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1512×	`associate-*r/`
1108×	`associate-*l/`
1088×	`unswap-sqr`
716×	`*-commutative`
514×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	5566
1	540	4762
2	2637	4744

Stop Event

1×	node limit

Counts

138 → 125

Calls

Call 1

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

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

eval431.0ms (3%)

Compiler: Compiled 20774 to 5245 computations (74.8% saved)

prune167.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	715	14	729
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	717	14	731

Error

0.0b

Counts

731 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	43.4b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
	38.3b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	37.9b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 c c) (*.f64 d d)))
	35.7b	(/.f64 (neg.f64 a) d)
	44.7b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b c) (.f64 a d)) 3)) (+.f64 (.f64 c c) (.f64 d d)))
▶	37.0b	(/.f64 b c)
▶	36.9b	(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
	36.2b	(-.f64 (/.f64 b c) (+.f64 (.f64 (/.f64 d c) (/.f64 a c)) (.f64 (/.f64 d (/.f64 (pow.f64 c 3) b)) d)))
▶	33.1b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	31.3b	(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
	15.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b c) (.f64 a d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (-.f64 (.f64 b c) (*.f64 a d))) (hypot.f64 c d)))
	37.8b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b)
	37.8b	(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) (neg.f64 d))
▶	14.9b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))

Compiler

Compiled 468 to 276 computations (41% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	0.5b	(-.f64 (.f64 b c) (.f64 a d))
✓	14.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))

Compiler

Compiled 58 to 15 computations (74.1% saved)

series15.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	d	@	-inf	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
2.0ms	b	@	0	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))
1.0ms	a	@	0	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))
1.0ms	c	@	inf	(/.f64 1 (hypot.f64 c d))
0.0ms	d	@	inf	(/.f64 1 (hypot.f64 c d))

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`distribute-lft-in`
962×	`associate-/l/`
832×	`associate-/r/`
376×	`associate-+l+`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	307	81
2	4360	81

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

Outputs

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

simplify153.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-/l*`
1180×	`associate-/r*`
904×	`*-commutative`
596×	`+-commutative`
440×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	765	21672
1	2486	18996

Stop Event

1×	node limit

Counts

340 → 445

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
✓	1.8b	(*.f64 (/.f64 d c) (/.f64 a c))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series8.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`distribute-lft-neg-in`
580×	`distribute-rgt-neg-in`
572×	`associate-/r/`
556×	`distribute-rgt-in`
518×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	251	44
2	3846	44

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

Outputs

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

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simplify140.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1788×	`associate-+r+`
986×	`+-commutative`
840×	`fma-def`
590×	`associate-r`
498×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	13295
1	1309	12029
2	6625	11933

Stop Event

1×	node limit

Counts

255 → 282

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	18.1b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`associate-*r/`
1242×	`associate-*l/`
664×	`associate-/r/`
638×	`distribute-lft-in`
474×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	260	25
2	3824	25

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

840×	`unswap-sqr`
834×	`associate-/r/`
748×	`distribute-lft-in`
716×	`distribute-rgt-in`
410×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	6065
1	883	5507
2	3638	5415

Stop Event

1×	node limit

Counts

125 → 178

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d d (*.f64 c c))
✓	2.6b	(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
✓	19.2b	(/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series18.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
13.0ms	a	@	inf	(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
1.0ms	d	@	inf	(/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d))
0.0ms	d	@	0	(/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d))
0.0ms	a	@	0	(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
0.0ms	c	@	0	(/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`associate-/l*`
1436×	`associate-*r/`
1148×	`*-commutative`
950×	`associate-*l/`
610×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	251	57
2	3523	57

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

Outputs

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

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

simplify183.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1010×	`times-frac`
914×	`associate-/l*`
668×	`associate-r`
628×	`associate-l`
624×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	493	8971
1	1425	8651
2	6700	8651

Stop Event

1×	node limit

Counts

305 → 308

Calls

Call 1

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

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

eval585.0ms (4.1%)

Compiler: Compiled 39509 to 13754 computations (65.2% saved)

prune576.0ms (4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1503	15	1518
Fresh	5	4	9
Picked	1	0	1
Done	3	1	4
Total	1512	20	1532

Error

0.0b

Counts

1532 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.8b	(/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d))
	33.6b	(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
	33.1b	(/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)
	38.3b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	47.5b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))
	51.7b	(/.f64 (neg.f64 d) (/.f64 c (/.f64 a c)))
▶	35.7b	(/.f64 (neg.f64 a) d)
✓	37.0b	(/.f64 b c)
	27.0b	(/.f64 a (-.f64 (/.f64 (neg.f64 (*.f64 c c)) d) d))
	15.2b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))))
	15.2b	(/.f64 -1 (.f64 (hypot.f64 c d) (neg.f64 (/.f64 (hypot.f64 c d) (-.f64 (.f64 b c) (*.f64 a d))))))
	33.4b	(-.f64 (/.f64 b c) (/.f64 a (*.f64 (/.f64 c d) c)))
	36.2b	(-.f64 (/.f64 b c) (+.f64 (.f64 (/.f64 d c) (/.f64 a c)) (.f64 (/.f64 d (/.f64 (pow.f64 c 3) b)) d)))
	31.3b	(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
▶	37.8b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
	51.8b	(*.f64 (/.f64 a c) (neg.f64 (/.f64 d c)))
	33.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c b) (hypot.f64 c d)))
▶	45.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (.f64 (/.f64 c d) b)))
	48.0b	(.f64 (/.f64 -1 d) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	53.1b	(neg.f64 (.f64 a (/.f64 d (.f64 c c))))

Compiler

Compiled 601 to 371 computations (38.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d))
	0.5b	(-.f64 (.f64 b c) (.f64 a d))
	14.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))

Compiler

Compiled 50 to 10 computations (80% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`distribute-rgt-in`
992×	`distribute-lft-in`
958×	`associate-/l/`
894×	`associate-/r/`
340×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	271	37
2	4021	37

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-/r*`
800×	`*-commutative`
706×	`distribute-lft-in`
682×	`distribute-rgt-in`
642×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	6580
1	684	4922
2	2804	4522

Stop Event

1×	node limit

Counts

106 → 114

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	24.7b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`add-sqr-sqrt`
1828×	`*-un-lft-identity`
1710×	`add-cube-cbrt`
1680×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	194	7
2	3048	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-+l-`
1110×	`associate-/l/`
998×	`associate-+r-`
920×	`associate-/r*`
686×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	129	933
1	324	885
2	1418	885
3	6203	885

Stop Event

1×	node limit

Counts

73 → 61

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 d d) (.f64 c c))
✓	4.1b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
✓	17.3b	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	217	57
2	3069	57

Stop Event

1×	node limit

Counts

3 → 276

Calls

Call 1

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

Outputs

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

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-/r*`
808×	`associate-/l/`
772×	`associate-r`
692×	`associate-/r/`
674×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	721	14480
1	1948	14124

Stop Event

1×	node limit

Counts

360 → 421

Calls

Call 1

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

Outputs
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d)))
(-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))
(+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d))) (/.f64 (pow.f64 c 5) (pow.f64 d 6)))
(+.f64 (/.f64 c (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 7) (pow.f64 d 8))) (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d))) (/.f64 (pow.f64 c 5) (pow.f64 d 6))))
(-.f64 (+.f64 (/.f64 c (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))
(/.f64 1 c)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(-.f64 (/.f64 1 c) (/.f64 (*.f64 d d) (pow.f64 c 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 4) (pow.f64 c 5))))
(+.f64 (-.f64 (/.f64 1 c) (/.f64 (*.f64 d d) (pow.f64 c 3))) (/.f64 (pow.f64 d 4) (pow.f64 c 5)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (neg.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(-.f64 (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (-.f64 (/.f64 1 c) (/.f64 (pow.f64 d 6) (pow.f64 c 7)))) (/.f64 (*.f64 d d) (pow.f64 c 3)))
(/.f64 1 c)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(-.f64 (/.f64 1 c) (/.f64 (*.f64 d d) (pow.f64 c 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 4) (pow.f64 c 5))))
(+.f64 (-.f64 (/.f64 1 c) (/.f64 (*.f64 d d) (pow.f64 c 3))) (/.f64 (pow.f64 d 4) (pow.f64 c 5)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (neg.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(-.f64 (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (-.f64 (/.f64 1 c) (/.f64 (pow.f64 d 6) (pow.f64 c 7)))) (/.f64 (*.f64 d d) (pow.f64 c 3)))
(/.f64 1 c)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(-.f64 (/.f64 1 c) (/.f64 (*.f64 d d) (pow.f64 c 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 4) (pow.f64 c 5))))
(+.f64 (-.f64 (/.f64 1 c) (/.f64 (*.f64 d d) (pow.f64 c 3))) (/.f64 (pow.f64 d 4) (pow.f64 c 5)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (neg.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(-.f64 (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (-.f64 (/.f64 1 c) (/.f64 (pow.f64 d 6) (pow.f64 c 7)))) (/.f64 (*.f64 d d) (pow.f64 c 3)))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d)))
(-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))
(+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d))) (/.f64 (pow.f64 c 5) (pow.f64 d 6)))
(+.f64 (/.f64 c (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 7) (pow.f64 d 8))) (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d))) (/.f64 (pow.f64 c 5) (pow.f64 d 6))))
(-.f64 (+.f64 (/.f64 c (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d)))
(-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))
(+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d))) (/.f64 (pow.f64 c 5) (pow.f64 d 6)))
(+.f64 (/.f64 c (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 7) (pow.f64 d 8))) (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d))) (/.f64 (pow.f64 c 5) (pow.f64 d 6))))
(-.f64 (+.f64 (/.f64 c (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c b) (.f64 d d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) b) (pow.f64 d 4))) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (/.f64 (.f64 c b) (.f64 d d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) b) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) b) (pow.f64 d 4))) (/.f64 (.f64 c b) (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)) (/.f64 c (/.f64 (.f64 d d) b))) (/.f64 (.f64 (pow.f64 c 5) b) (pow.f64 d 6)))
(+.f64 (/.f64 (.f64 c b) (.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) b)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) b) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) b) (pow.f64 d 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) b) (pow.f64 d 4))) (/.f64 (.f64 c b) (pow.f64 d 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) b) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 c 7) b) (pow.f64 d 8)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)) (/.f64 c (/.f64 (*.f64 d d) b)))))
(+.f64 (-.f64 (/.f64 (.f64 c b) (.f64 d d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) b)) (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) b))))
(/.f64 b c)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(fma.f64 -1 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c))
(-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c)) (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)))
(+.f64 (-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b)) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 (pow.f64 d 6) b) (pow.f64 c 7))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c)) (+.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) (neg.f64 (/.f64 (pow.f64 d 6) (/.f64 (pow.f64 c 7) b)))))
(+.f64 (-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b)) (-.f64 (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b) (/.f64 (pow.f64 d 6) (/.f64 (pow.f64 c 7) b))))
(/.f64 b c)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(fma.f64 -1 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c))
(-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c)) (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)))
(+.f64 (-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b)) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 (pow.f64 d 6) b) (pow.f64 c 7))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c)) (+.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) (neg.f64 (/.f64 (pow.f64 d 6) (/.f64 (pow.f64 c 7) b)))))
(+.f64 (-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b)) (-.f64 (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b) (/.f64 (pow.f64 d 6) (/.f64 (pow.f64 c 7) b))))
(/.f64 b c)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(fma.f64 -1 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c))
(-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c)) (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)))
(+.f64 (-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b)) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 (pow.f64 d 6) b) (pow.f64 c 7))))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c)) (+.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) (neg.f64 (/.f64 (pow.f64 d 6) (/.f64 (pow.f64 c 7) b)))))
(+.f64 (-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b)) (-.f64 (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b) (/.f64 (pow.f64 d 6) (/.f64 (pow.f64 c 7) b))))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c b) (.f64 d d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) b) (pow.f64 d 4))) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (/.f64 (.f64 c b) (.f64 d d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) b) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) b) (pow.f64 d 4))) (/.f64 (.f64 c b) (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)) (/.f64 c (/.f64 (.f64 d d) b))) (/.f64 (.f64 (pow.f64 c 5) b) (pow.f64 d 6)))
(+.f64 (/.f64 (.f64 c b) (.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) b)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) b) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) b) (pow.f64 d 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) b) (pow.f64 d 4))) (/.f64 (.f64 c b) (pow.f64 d 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 c 5) b) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 c 7) b) (pow.f64 d 8)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)) (/.f64 c (/.f64 (*.f64 d d) b)))))
(+.f64 (-.f64 (/.f64 (.f64 c b) (.f64 d d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) b)) (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) b))))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(/.f64 (.f64 c b) (.f64 d d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) b) (pow.f64 d 4))) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)) (/.f64 c (/.f64 (*.f64 d d) b)))
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(.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) 1) (neg.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) 1) (neg.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (neg.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (-.f64 (neg.f64 (pow.f64 d 4)) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) 1) (-.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (hypot.f64 c d)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))) (hypot.f64 (pow.f64 c 3) (pow.f64 d 3)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (hypot.f64 c d)) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (.f64 (pow.f64 c 4) (pow.f64 c 4))) (/.f64 1 (-.f64 (.f64 d d) (*.f64 c c)))) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))
(/.f64 (-.f64 (pow.f64 d 8) (pow.f64 c 8)) (.f64 (-.f64 (.f64 d d) (*.f64 c c)) (+.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 d 8) (pow.f64 c 8)) (+.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (pow.f64 c 4) 3)) (/.f64 1 (-.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (+.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (pow.f64 c 4) 3)) (.f64 (-.f64 (.f64 d d) (.f64 c c)) (+.f64 (pow.f64 d 8) (+.f64 (pow.f64 c 8) (.f64 (pow.f64 d 4) (pow.f64 c 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 c 12)) (-.f64 (.f64 d d) (.f64 c c))) (fma.f64 (pow.f64 c 4) (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 d 8)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (.f64 (pow.f64 c 6) (pow.f64 c 6))) (/.f64 1 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))) (-.f64 (pow.f64 d 6) (pow.f64 c 6)))
(/.f64 (-.f64 (pow.f64 d 12) (pow.f64 c 12)) (.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))) (-.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (-.f64 (pow.f64 d 12) (pow.f64 c 12)) (.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)) (-.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))) (+.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (-.f64 (.f64 (pow.f64 c 6) (pow.f64 c 6)) (*.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))) (+.f64 (pow.f64 d 12) (-.f64 (pow.f64 c 12) (*.f64 (pow.f64 d 6) (pow.f64 c 6))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (fma.f64 (pow.f64 c 6) (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (pow.f64 d 12))) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) 1) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c)))) (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (+.f64 c d)) (-.f64 d c))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) 1) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (+.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 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (+.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 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (+.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 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)
(pow.f64 (hypot.f64 c d) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 c d) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(pow.f64 (hypot.f64 c d) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))
(pow.f64 (hypot.f64 c d) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 1 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 1 (.f64 c c) (.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (cbrt.f64 (.f64 c c)) (.f64 d d))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 a) (*.f64 (/.f64 c d) b))
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	6.4b	(*.f64 (/.f64 c d) b)
✓	6.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (.f64 (/.f64 c d) b)))

Compiler

Compiled 49 to 15 computations (69.4% saved)

series28.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
19.0ms	d	@	0	(*.f64 (/.f64 c d) b)
1.0ms	a	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (.f64 (/.f64 c d) b)))
1.0ms	b	@	inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (.f64 (/.f64 c d) b)))
1.0ms	b	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (.f64 (/.f64 c d) b)))
1.0ms	b	@	-inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (.f64 (/.f64 c d) b)))

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`associate-/r*`
1216×	`associate-/l*`
336×	`associate-/r/`
332×	`add-sqr-sqrt`
326×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	321	55
2	4490	55

Stop Event

1×	node limit

Counts

3 → 306

Calls

Call 1

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

Outputs

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

simplify215.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1810×	`associate-/l*`
1478×	`associate-/l/`
950×	`associate-/r*`
826×	`associate-r`
764×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	788	20582
1	2053	20166

Stop Event

1×	node limit

Counts

438 → 545

Calls

Call 1

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

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

eval783.0ms (5.5%)

Compiler: Compiled 41302 to 14350 computations (65.3% saved)

prune746.0ms (5.2%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1616	13	1629
Fresh	5	9	14
Picked	1	0	1
Done	3	2	5
Total	1625	24	1649

Error

Counts

1649 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	27.1b	(/.f64 (/.f64 b (hypot.f64 c d)) (/.f64 (hypot.f64 c d) c))
	44.0b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 1 (fma.f64 (/.f64 c d) b a)))
	33.6b	(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
	33.1b	(/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)
	43.5b	(/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 c b) d)) a) (hypot.f64 c d))
▶	14.9b	(/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 b c) (*.f64 a d))) (hypot.f64 c d))
	54.3b	(/.f64 (.f64 c b) (.f64 d d))
	51.7b	(/.f64 (neg.f64 d) (/.f64 c (/.f64 a c)))
	59.1b	(/.f64 (neg.f64 b) d)
✓	35.7b	(/.f64 (neg.f64 a) d)
	39.9b	(/.f64 c (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
	59.1b	(/.f64 b d)
✓	37.0b	(/.f64 b c)
▶	27.0b	(/.f64 a (-.f64 (/.f64 (neg.f64 (*.f64 c c)) d) d))
▶	57.4b	(/.f64 a d)
	33.4b	(-.f64 (/.f64 b c) (/.f64 a (*.f64 (/.f64 c d) c)))
	41.5b	(-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b))
	31.3b	(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
	32.0b	(-.f64 (*.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d))
	54.7b	(.f64 (/.f64 c (.f64 d d)) b)
	51.8b	(*.f64 (/.f64 a c) (neg.f64 (/.f64 d c)))
▶	30.9b	(.f64 (/.f64 1 d) (+.f64 (neg.f64 a) (.f64 (/.f64 c d) b)))
	48.0b	(.f64 (/.f64 -1 d) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
▶	53.1b	(neg.f64 (.f64 a (/.f64 d (.f64 c c))))

Compiler

Compiled 621 to 395 computations (36.4% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.0b	(/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 b c) (*.f64 a d))) (hypot.f64 c d))
	0.5b	(-.f64 (.f64 b c) (.f64 a d))
✓	14.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 b c) (*.f64 a d)))

Compiler

Compiled 60 to 18 computations (70% saved)

series3.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`distribute-rgt-in`
1122×	`distribute-lft-in`
892×	`associate-/r/`
868×	`associate-/l/`
364×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	303	68
2	4190	68

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

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

Outputs

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simplify249.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1006×	`+-commutative`
996×	`associate-r`
918×	`associate-l`
726×	`associate-/l*`
722×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	594	18307
1	1830	15065
2	7828	15065

Stop Event

1×	node limit

Counts

289 → 344

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.2b	(/.f64 d (*.f64 c c))
✓	6.5b	(.f64 a (/.f64 d (.f64 c c)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`add-sqr-sqrt`
1776×	`*-un-lft-identity`
1654×	`add-cube-cbrt`
1628×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	167	32
2	2296	32

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1078×	`associate-+r-`
1034×	`associate-/l*`
924×	`unswap-sqr`
780×	`times-frac`
764×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	2003
1	355	1991
2	1359	1985
3	6913	1985

Stop Event

1×	node limit

Counts

117 → 71

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.6b	(/.f64 a (-.f64 (/.f64 (neg.f64 (*.f64 c c)) d) d))
✓	6.1b	(/.f64 (neg.f64 (*.f64 c c)) d)

Compiler

Compiled 38 to 9 computations (76.3% saved)

series24.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
19.0ms	a	@	inf	(/.f64 a (-.f64 (/.f64 (neg.f64 (*.f64 c c)) d) d))
1.0ms	a	@	0	(/.f64 a (-.f64 (/.f64 (neg.f64 (*.f64 c c)) d) d))
0.0ms	a	@	-inf	(/.f64 a (-.f64 (/.f64 (neg.f64 (*.f64 c c)) d) d))
0.0ms	d	@	0	(/.f64 (neg.f64 (*.f64 c c)) d)
0.0ms	c	@	0	(/.f64 (neg.f64 (*.f64 c c)) d)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`associate-*l/`
576×	`distribute-rgt-in`
552×	`associate-/r/`
540×	`distribute-lft-in`
348×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	246	38
2	3721	38

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

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

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

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate-/r/`
650×	`associate-+r+`
612×	`associate-+l+`
508×	`associate-r`
500×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	7366
1	1164	6964
2	4390	6866

Stop Event

1×	node limit

Counts

200 → 232

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (neg.f64 a) (*.f64 (/.f64 c d) b))
✓	0.2b	(.f64 (/.f64 1 d) (+.f64 (neg.f64 a) (.f64 (/.f64 c d) b)))
	6.4b	(*.f64 (/.f64 c d) b)

Compiler

Compiled 42 to 14 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`associate-/r*`
1204×	`associate-/l*`
732×	`distribute-lft-in`
430×	`associate-/r/`
308×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	298	21
2	4196	21

Stop Event

1×	node limit

Counts

1 → 135

Calls

Call 1

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

Outputs

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simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1220×	`distribute-lft-in`
1190×	`distribute-rgt-in`
536×	`associate-/l/`
528×	`associate-/l*`
484×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	383	8109
1	1072	7817
2	4513	7817

Stop Event

1×	node limit

Counts

183 → 221

Calls

Call 1

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

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

eval414.0ms (2.9%)

Compiler: Compiled 38108 to 12423 computations (67.4% saved)

prune492.0ms (3.4%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1462	10	1472
Fresh	9	8	17
Picked	1	0	1
Done	1	5	6
Total	1473	23	1496

Error

Counts

1496 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	27.1b	(/.f64 (/.f64 b (hypot.f64 c d)) (/.f64 (hypot.f64 c d) c))
	52.6b	(/.f64 (/.f64 1 d) (/.f64 1 (fma.f64 (/.f64 c d) b a)))
	33.6b	(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
	43.3b	(/.f64 (-.f64 a (*.f64 (/.f64 c d) b)) (hypot.f64 c d))
	30.8b	(/.f64 (-.f64 a (*.f64 b (/.f64 c d))) (neg.f64 d))
	48.1b	(/.f64 (.f64 (/.f64 1 c) (-.f64 (.f64 b c) (*.f64 a d))) (hypot.f64 c d))
	54.3b	(/.f64 (.f64 c b) (.f64 d d))
	59.1b	(/.f64 (neg.f64 b) d)
	52.3b	(/.f64 (neg.f64 a) (*.f64 c (/.f64 c d)))
✓	35.7b	(/.f64 (neg.f64 a) d)
	39.9b	(/.f64 c (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
	59.1b	(/.f64 b d)
✓	37.0b	(/.f64 b c)
✓	27.0b	(/.f64 a (-.f64 (/.f64 (neg.f64 (*.f64 c c)) d) d))
✓	57.4b	(/.f64 a d)
	41.5b	(-.f64 (/.f64 b c) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b))
	53.0b	(*.f64 (/.f64 (/.f64 c d) d) b)
	52.0b	(*.f64 (/.f64 c d) (/.f64 b d))
	30.9b	(*.f64 (/.f64 1 d) (+.f64 (neg.f64 a) (/.f64 b (/.f64 d c))))
	35.8b	(*.f64 (/.f64 1 d) (neg.f64 a))
	48.0b	(.f64 (/.f64 -1 d) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	51.5b	(neg.f64 (/.f64 (*.f64 (/.f64 d c) a) c))
✓	53.1b	(neg.f64 (.f64 a (/.f64 d (.f64 c c))))

Compiler

Compiled 289 to 189 computations (34.6% saved)

regimes774.0ms (5.4%)

Counts

54 → 5

Calls

Call 1

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

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

Calls

5 calls:

216.0ms	a
209.0ms	c
144.0ms	d
123.0ms	b
68.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
10.2b	5	`a`
9.7b	5	`b`
6.3b	5	`c`
6.6b	5	`d`
7.5b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 646 to 198 computations (69.3% saved)

bsearch54.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	5.3873512974006286e+147	4.940165589502562e+149
20.0ms	1.5580041738151828e-58	2.1338527228572477e-44
6.0ms	-1.8720744302016177e-157	-1.5803279416457564e-157
14.0ms	-4.948762344587847e+139	-2.9288957339226298e+138

Results

48.0ms	416×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 936 to 556 computations (40.6% saved)

regimes567.0ms (4%)

Counts

47 → 5

Calls

Call 1

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

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

Calls

5 calls:

170.0ms	b
127.0ms	a
107.0ms	d
102.0ms	c
51.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
15.1b	6	`a`
13.5b	7	`b`
8.6b	5	`c`
8.6b	5	`d`
12.5b	4	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 517 to 172 computations (66.7% saved)

bsearch61.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	8.35854796505665e+146	1.342317344306888e+149
18.0ms	1.3866767061102081e-155	9.173061333443439e-147
16.0ms	-4.927148748509043e-126	-1.5975311384349433e-129
14.0ms	-5.974812704433803e+121	-2.4877732064821623e+120

Results

53.0ms	496×	body	256	valid
2.0ms	22×	body	256	infinite

Compiler

Compiled 1108 to 682 computations (38.4% saved)

regimes519.0ms (3.6%)

Counts

35 → 5

Calls

Call 1

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

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

Calls

5 calls:

193.0ms	b
99.0ms	c
98.0ms	d
86.0ms	a
35.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
16.5b	6	`a`
15.9b	8	`b`
9.3b	5	`c`
8.6b	5	`d`
12.5b	4	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 351 to 121 computations (65.5% saved)

bsearch69.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	8.35854796505665e+146	1.342317344306888e+149
21.0ms	1.3866767061102081e-155	9.173061333443439e-147
16.0ms	-4.927148748509043e-126	-1.5975311384349433e-129
18.0ms	-5.974812704433803e+121	-2.4877732064821623e+120

Results

59.0ms	496×	body	256	valid
4.0ms	27×	body	256	infinite

Compiler

Compiled 1101 to 682 computations (38.1% saved)

regimes392.0ms (2.7%)

Counts

31 → 5

Calls

Call 1

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

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

Calls

4 calls:

111.0ms	b
102.0ms	a
90.0ms	d
80.0ms	c

Results

Error	Segments	Branch
18.3b	8	`a`
16.5b	8	`b`
11.2b	5	`c`
12.5b	5	`d`

Compiler

Compiled 285 to 102 computations (64.2% saved)

bsearch78.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.5580041738151828e-58	2.1338527228572477e-44
20.0ms	-2.9485628072175223e-135	-1.0673058005054242e-138
16.0ms	-1.065764581073741e-98	-5.647154417979362e-102
22.0ms	-5.644248508644015e+56	-3.839285352439634e+52

Results

69.0ms	544×	body	256	valid
2.0ms	20×	body	256	infinite

Compiler

Compiled 1064 to 689 computations (35.2% saved)

regimes334.0ms (2.3%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

4 calls:

133.0ms	a
86.0ms	b
57.0ms	d
53.0ms	c

Results

Error	Segments	Branch
17.6b	10	`a`
16.5b	8	`b`
11.4b	5	`c`
12.5b	5	`d`

Compiler

Compiled 227 to 86 computations (62.1% saved)

bsearch75.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	1.5580041738151828e-58	2.1338527228572477e-44
16.0ms	-2.9485628072175223e-135	-1.0673058005054242e-138
15.0ms	-1.065764581073741e-98	-5.647154417979362e-102
16.0ms	-5.644248508644015e+56	-3.839285352439634e+52

Results

67.0ms	544×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 1064 to 689 computations (35.2% saved)

regimes383.0ms (2.7%)

Counts

23 → 5

Calls

Call 1

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

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

Calls

4 calls:

136.0ms	a
101.0ms	b
91.0ms	c
49.0ms	d

Results

Error	Segments	Branch
17.6b	10	`a`
16.5b	8	`b`
11.4b	5	`c`
12.5b	5	`d`

Compiler

Compiled 194 to 78 computations (59.8% saved)

bsearch119.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
69.0ms	1.5580041738151828e-58	2.1338527228572477e-44
17.0ms	-2.9485628072175223e-135	-1.0673058005054242e-138
17.0ms	-1.065764581073741e-98	-5.647154417979362e-102
15.0ms	-5.644248508644015e+56	-3.839285352439634e+52

Results

110.0ms	544×	body	256	valid
2.0ms	17×	body	256	infinite

Compiler

Compiled 1044 to 679 computations (35% saved)

regimes406.0ms (2.8%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

4 calls:

167.0ms	a
106.0ms	b
84.0ms	c
45.0ms	d

Results

Error	Segments	Branch
17.2b	14	`a`
16.5b	8	`b`
11.5b	5	`c`
12.5b	5	`d`

Compiler

Compiled 161 to 71 computations (55.9% saved)

bsearch89.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
35.0ms	1.5580041738151828e-58	2.1338527228572477e-44
17.0ms	-8.619742986865322e-30	-2.24218942728974e-39
22.0ms	-3516964168.2764587	-0.00010319920109604587
15.0ms	-5.644248508644015e+56	-3.839285352439634e+52

Results

82.0ms	592×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 1099 to 720 computations (34.5% saved)

regimes204.0ms (1.4%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

61.0ms	a
60.0ms	b
53.0ms	d
26.0ms	c

Results

Error	Segments	Branch
21.8b	6	`a`
19.3b	6	`b`
14.2b	3	`c`
15.1b	3	`d`

Compiler

Compiled 151 to 68 computations (55% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.09021884375503389	0.48758242554054804
16.0ms	-5.644248508644015e+56	-3.839285352439634e+52

Results

24.0ms

224×

body

256

valid

Compiler

Compiled 432 to 283 computations (34.5% saved)

regimes194.0ms (1.4%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

72.0ms	b
52.0ms	a
40.0ms	d
26.0ms	c

Results

Error	Segments	Branch
25.1b	6	`a`
25.1b	8	`b`
15.5b	3	`c`
17.0b	3	`d`

Compiler

Compiled 141 to 64 computations (54.6% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	5.97245226688565e-29	3.5321308313032205e-25
15.0ms	-1.0988625679229313e-50	-4.656202383550104e-54

Results

38.0ms	256×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 394 to 273 computations (30.7% saved)

regimes185.0ms (1.3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

65.0ms	b
59.0ms	a
29.0ms	d
29.0ms	c

Results

Error	Segments	Branch
27.0b	8	`a`
26.7b	8	`b`
18.8b	3	`c`
20.4b	3	`d`

Compiler

Compiled 123 to 57 computations (53.7% saved)

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.48758242554054804	987.2020291575761
15.0ms	-1.0988625679229313e-50	-4.656202383550104e-54

Results

29.0ms	256×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 298 to 225 computations (24.5% saved)

regimes27.0ms (0.2%)

Accuracy

Total -29.0b remaining (-86.9%)

Threshold costs -29.0b (-86.9%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	c
8.0ms	d
3.0ms	a
3.0ms	b

Results

Error	Segments	Branch
37.0b	1	`a`
37.0b	1	`b`
35.6b	3	`c`
33.4b	3	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch26.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	2.450781559251332e+183	6.862014537541775e+183
17.0ms	-7.494461195402711e+146	-1.4371311337049811e+143

Results

22.0ms

208×

body

256

valid

Compiler

Compiled 234 to 173 computations (26.1% saved)

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

60×	`+-commutative`
56×	`*-commutative`
36×	`sub-neg`
32×	`neg-mul-1`
32×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1558
1	222	1558
2	279	1558
3	311	1558
4	326	1558
5	328	1558

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -46000000000000000188599936922929401729571961987000058336757051679339923748046657246212478046252769333083256340648262341435406519127012016128) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -5255771031303471/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 565391060729083/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (-.f64 a (.f64 b (/.f64 c d))) (neg.f64 d)) (if (<=.f64 c 18999999999999999227029544860031241286894638329573506494808866006311493223531656037440067539921870016308873118565338475441855210768234587403220680704) (/.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)) (hypot.f64 c d)) (-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))))))
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(/.f64 a d)

Outputs
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(if (<=.f64 c -46000000000000000188599936922929401729571961987000058336757051679339923748046657246212478046252769333083256340648262341435406519127012016128) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -5255771031303471/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 565391060729083/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (-.f64 a (.f64 b (/.f64 c d))) (neg.f64 d)) (if (<=.f64 c 18999999999999999227029544860031241286894638329573506494808866006311493223531656037440067539921870016308873118565338475441855210768234587403220680704) (/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d)) (-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c)))))))
(if (<=.f64 d -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (/.f64 (-.f64 a (.f64 (/.f64 c d) b)) (hypot.f64 c d)) (if (<=.f64 d -4511902201628583/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (/.f64 (-.f64 b (/.f64 (.f64 d a) c)) c) (if (<=.f64 d 900000000000000051177088334584754562135744614583963780667817050093241869670474006918538924304950412396136237839956569015169589687989470577565892608) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))))))
(if (<=.f64 d -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (/.f64 (-.f64 a (.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 d -4511902201628583/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7371020360979573/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (/.f64 (-.f64 b (/.f64 (.f64 d a) c)) c) (if (<=.f64 d 900000000000000051177088334584754562135744614583963780667817050093241869670474006918538924304950412396136237839956569015169589687989470577565892608) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))))))
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(if (<=.f64 d -59000000000000001400390575485088320280633013595771310969265863212331836667805739112710812260414963024302660684574942560256) (/.f64 (-.f64 a (.f64 b (/.f64 c d))) (neg.f64 d)) (if (<=.f64 d -4511902201628583/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 7783797501194429/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (/.f64 (-.f64 b (/.f64 (.f64 d a) c)) c) (if (<=.f64 d 1050000000000000030131459653060188486988617419488398240790457754433405379463770814849001461762435502035765279035793830812191604381016282831435857920) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))))))
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(if (<=.f64 c -400000000000000036761134032573512952336137838862738128896) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -7486381177314951/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (/.f64 a (-.f64 (neg.f64 d) (/.f64 (.f64 c c) d))) (if (<=.f64 c -2373208190724703/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (/.f64 (.f64 c b) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 7070527394739557/3213876088517980551083924184682325205044405987565585670602752) (/.f64 (-.f64 a (.f64 b (/.f64 c d))) (neg.f64 d)) (-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c)))))))
(if (<=.f64 c -5000000000000000051175335102042755748152194067662372864) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -3703788582461081/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (/.f64 a (-.f64 (/.f64 (neg.f64 (.f64 c c)) d) d)) (if (<=.f64 c -8510815580529969/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 5101064127695739/3291009114642412084309938365114701009965471731267159726697218048) (/.f64 (-.f64 a (.f64 b (/.f64 c d))) (neg.f64 d)) (-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))))))
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(if (<=.f64 c -5000000000000000051175335102042755748152194067662372864) (/.f64 (-.f64 b (.f64 d (/.f64 a c))) c) (if (<=.f64 c -3703788582461081/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (/.f64 a (-.f64 (neg.f64 d) (/.f64 (.f64 c c) d))) (if (<=.f64 c -8510815580529969/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 b (/.f64 c (+.f64 (.f64 c c) (.f64 d d)))) (if (<=.f64 c 5101064127695739/3291009114642412084309938365114701009965471731267159726697218048) (/.f64 (-.f64 a (.f64 b (/.f64 c d))) (neg.f64 d)) (-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c)))))))
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(if (or (<=.f64 c -7980144213476589/431359146674410236714672241392314090778194310760649159697657763987456) (not (<=.f64 c 8014330305721943/348449143727040986586495598010130648530944))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) (/.f64 (neg.f64 a) d))
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(/.f64 a d)

Compiler

Compiled 627 to 312 computations (50.2% saved)

soundness348.0ms (2.4%)

Algorithm

5×	egg-herbie

Rules

1788×	`associate-+r+`
1366×	`associate-/l*`
1220×	`distribute-lft-in`
1190×	`distribute-rgt-in`
1180×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	652	17311
1	1831	15457
0	448	13295
1	1309	12029
2	6625	11933
0	765	21672
1	2486	18996
0	383	8109
1	1072	7817
2	4513	7817
0	652	17311
1	1831	15457

Stop Event

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

Compiler

Compiled 410 to 173 computations (57.8% saved)

end105.0ms (0.7%)

Compiler: Compiled 583 to 153 computations (73.8% saved)