Details

analyze369.0ms (2.4%)

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 (7.3%)

Results

1000.0ms	8256×	body	256	valid
92.0ms	528×	body	256	infinite

Bogosity

preprocess70.0ms (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)

simplify76.0ms (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

27.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.3b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (*.f64 d d)))
▶	27.3b	(/.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))
✓	0.3b	(-.f64 (.f64 b c) (.f64 a d))
✓	26.9b	(/.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)))

rewrite105.0ms (0.7%)

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 c 4)) 1) (-.f64 (*.f64 d d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 c 4) (pow.f64 c 4)) (*.f64 (pow.f64 d 4) (pow.f64 d 4))) (/.f64 1 (-.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))))))

simplify154.0ms (1%)

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 2 expressions with local error:

New	Error	Program
	0.3b	(-.f64 (.f64 b c) (.f64 a d))
✓	26.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (*.f64 d d)))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 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	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)))
0.0ms	a	@	inf	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (*.f64 d d)))

rewrite80.0ms (0.5%)

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	39
1	283	37
2	4014	37

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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 (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 (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))))))))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1014×	`times-frac`
994×	`associate-/l*`
928×	`associate-+r-`
880×	`associate-*r/`
636×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	4701
1	370	3813
2	1503	3735
3	7230	3735

Stop Event

1×	node limit

Counts

83 → 82

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 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))))

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

eval176.0ms (1.2%)

Compiler: Compiled 19949 to 5026 computations (74.8% saved)

prune146.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	672	14	686
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	674	14	688

Error

0.3b

Counts

688 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	49.8b	(/.f64 (/.f64 1 (/.f64 (+.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 c c) (.f64 d d)))
	45.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
	44.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
	38.7b	(/.f64 (neg.f64 a) d)
▶	38.5b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	37.0b	(/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) c))
▶	34.6b	(/.f64 b c)
	30.0b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	33.0b	(-.f64 (/.f64 b c) (.f64 d (/.f64 a (.f64 c c))))
▶	33.7b	(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
	34.4b	(-.f64 (*.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d))
	17.3b	(.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)))
▶	16.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
▶	41.1b	(neg.f64 (/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d)))

Compiler

Compiled 488 to 282 computations (42.2% 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)))
	0.3b	(-.f64 (.f64 b c) (.f64 a d))
✓	15.6b	(/.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	@	0	(/.f64 1 (hypot.f64 c d))
1.0ms	b	@	inf	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))
1.0ms	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	d	@	inf	(/.f64 1 (hypot.f64 c d))

rewrite100.0ms (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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((#(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))))))))

simplify157.0ms (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))
(+.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))))
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(/.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))))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (/.f64 (.f64 c c) b)) (+.f64 (fma.f64 -1 (/.f64 a (/.f64 c d)) b) (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 d (/.f64 (/.f64 (.f64 c c) b) d)) (fma.f64 -1 (/.f64 a (/.f64 c d)) b)) (/.f64 1/2 (/.f64 (pow.f64 c 3) (.f64 a (pow.f64 d 3)))))
(*.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 (.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 d d) (/.f64 (.f64 c c) b)) (neg.f64 b)))
(+.f64 (/.f64 a (/.f64 c d)) (fma.f64 1/2 (/.f64 d (/.f64 (/.f64 (*.f64 c c) b) d)) (neg.f64 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))))
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b
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a
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(.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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
✓	2.5b	(*.f64 (/.f64 b d) (/.f64 c d))

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 b d) (/.f64 c d))
1.0ms	b	@	0	(*.f64 (/.f64 b d) (/.f64 c d))
0.0ms	b	@	inf	(*.f64 (/.f64 b d) (/.f64 c d))
0.0ms	d	@	0	(*.f64 (/.f64 b d) (/.f64 c d))
0.0ms	c	@	0	(*.f64 (/.f64 b d) (/.f64 c d))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`swap-sqr`
540×	`associate-/r/`
526×	`distribute-rgt-in`
500×	`distribute-lft-neg-in`
490×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	250	44
2	3783	44

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1046×	`+-commutative`
858×	`associate-+r-`
806×	`fma-def`
700×	`associate-+l-`
508×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	10873
1	1209	10135
2	5710	10115

Stop Event

1×	node limit

Counts

241 → 278

Calls

Call 1

Inputs
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.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 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 (*.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))
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(+.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))
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(+.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 (exp.f64 (log1p.f64 (/.f64 b (/.f64 (*.f64 d d) c)))) 1)
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 b (*.f64 (/.f64 d c) d))
(/.f64 (/.f64 b d) (/.f64 d c))
(/.f64 c (*.f64 (/.f64 d b) d))
(/.f64 c (*.f64 d (/.f64 d b)))
(/.f64 (/.f64 c d) (/.f64 d b))
(/.f64 1 (/.f64 d (/.f64 (*.f64 b c) d)))
(/.f64 1 (/.f64 (.f64 d d) (.f64 b c)))
(/.f64 (sqrt.f64 c) (*.f64 (/.f64 d b) (/.f64 d (sqrt.f64 c))))
(/.f64 (sqrt.f64 b) (*.f64 (/.f64 d c) (/.f64 d (sqrt.f64 b))))
(/.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (/.f64 d b) (/.f64 d (cbrt.f64 c))))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (/.f64 d c) (/.f64 d (cbrt.f64 b))))
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (.f64 b c) (.f64 d d))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 d) (/.f64 d c)))
(/.f64 (neg.f64 b) (*.f64 (/.f64 d c) (neg.f64 d)))
(/.f64 (neg.f64 c) (*.f64 (/.f64 d b) (neg.f64 d)))
(/.f64 (neg.f64 c) (*.f64 (neg.f64 d) (/.f64 d b)))
(/.f64 (.f64 c (neg.f64 b)) (.f64 d (neg.f64 d)))
(/.f64 (/.f64 c (*.f64 (sqrt.f64 d) (/.f64 d b))) (sqrt.f64 d))
(/.f64 (/.f64 (/.f64 (*.f64 b c) d) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(/.f64 (/.f64 b 1) (*.f64 (/.f64 d c) d))
(/.f64 (/.f64 b (sqrt.f64 d)) (*.f64 (/.f64 d c) (sqrt.f64 d)))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 d) 2)) (*.f64 (/.f64 d c) (cbrt.f64 d)))
(/.f64 (/.f64 c 1) (*.f64 (/.f64 d b) d))
(/.f64 (/.f64 c (sqrt.f64 d)) (*.f64 (/.f64 d b) (sqrt.f64 d)))
(/.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (*.f64 (/.f64 d b) (cbrt.f64 d)))
(/.f64 -1 (*.f64 (/.f64 d c) (/.f64 d (neg.f64 b))))
(/.f64 -1 (*.f64 (/.f64 d b) (/.f64 d (neg.f64 c))))
(/.f64 (.f64 (neg.f64 b) (neg.f64 c)) (.f64 d d))
(/.f64 (*.f64 (/.f64 b d) (neg.f64 c)) (neg.f64 d))
(pow.f64 (/.f64 b (/.f64 (*.f64 d d) c)) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 b c)) d) 2)
(pow.f64 (cbrt.f64 (/.f64 b (/.f64 (*.f64 d d) c))) 3)
(pow.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 d d) c)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 b (neg.f64 d)) (/.f64 c d)))
(neg.f64 (*.f64 (/.f64 c (neg.f64 d)) (/.f64 b d)))
(neg.f64 (*.f64 (/.f64 b d) (/.f64 c (neg.f64 d))))
(neg.f64 (*.f64 (/.f64 c d) (/.f64 b (neg.f64 d))))
(neg.f64 (/.f64 (/.f64 b (neg.f64 d)) (/.f64 d c)))
(neg.f64 (/.f64 (/.f64 c (neg.f64 d)) (/.f64 d b)))
(neg.f64 (/.f64 b (*.f64 (/.f64 d c) (neg.f64 d))))
(neg.f64 (/.f64 c (*.f64 (/.f64 d b) (neg.f64 d))))
(neg.f64 (/.f64 (/.f64 (*.f64 b c) d) (neg.f64 d)))
(neg.f64 (/.f64 (.f64 b c) (.f64 d (neg.f64 d))))
(sqrt.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 d d) c)) 2))
(log.f64 (exp.f64 (/.f64 b (/.f64 (*.f64 d d) c))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (/.f64 (*.f64 d d) c)))))
(cbrt.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 d d) c)) 3))
(expm1.f64 (log1p.f64 (/.f64 b (/.f64 (*.f64 d d) c))))
(exp.f64 (log.f64 (/.f64 b (/.f64 (*.f64 d d) c))))
(exp.f64 (.f64 (log.f64 (/.f64 b (/.f64 (.f64 d d) c))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (/.f64 (*.f64 d d) c))))
(+.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a (neg.f64 d)))
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(+.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (+.f64 (/.f64 a (neg.f64 d)) (fma.f64 (/.f64 a (neg.f64 d)) 1 (/.f64 a d))))
(+.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (+.f64 (/.f64 a (neg.f64 d)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a d))) (sqrt.f64 (/.f64 a d)) (/.f64 a d))))
(+.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (+.f64 (/.f64 a (neg.f64 d)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a d))) (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (/.f64 a d))))
(+.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (fma.f64 (/.f64 -1 d) a (/.f64 a d)))
(+.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (fma.f64 (/.f64 a (neg.f64 d)) 1 (/.f64 a d)))
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(+.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a d))) (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (/.f64 a d)))
(+.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (+.f64 (fma.f64 (/.f64 -1 d) a (/.f64 a d)) (fma.f64 (/.f64 -1 d) a (/.f64 a d))))
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(/.f64 1 (/.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)) (-.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 d d) c)) 2) (pow.f64 (/.f64 a d) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (.f64 d d) c)) 2) (.f64 (/.f64 a d) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))) (-.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 d d) c)) 3) (pow.f64 (/.f64 a d) 3))))
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(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 b c) d) (/.f64 d a)) d) (*.f64 d (/.f64 d a)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b c) d) (neg.f64 d)) (.f64 d (neg.f64 a))) (.f64 d (neg.f64 d)))
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(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) 1)
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(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) 3) 1/3)
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(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) 2))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (/.f64 (.f64 b c) d) a) d)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 a (neg.f64 d)))
(fma.f64 1 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 (sqrt.f64 (.f64 b c)) d) (/.f64 (sqrt.f64 (.f64 b c)) d) (/.f64 a (neg.f64 d)))
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Outputs
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
(.f64 c (/.f64 b (.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 (/.f64 b d) (/.f64 c d))
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(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 d d) c)) 2) (pow.f64 (/.f64 a d) 2)) (neg.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (/.f64 a d) 2) (neg.f64 (pow.f64 (*.f64 (/.f64 b d) (/.f64 c d)) 2))) (neg.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))
(/.f64 (-.f64 (pow.f64 (/.f64 a d) 2) (pow.f64 (.f64 c (/.f64 b (.f64 d d))) 2)) (neg.f64 (fma.f64 (/.f64 c (*.f64 d d)) b (/.f64 a d))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (.f64 d d) c)) 3) (pow.f64 (/.f64 a d) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (.f64 d d) c)) 2) (*.f64 (/.f64 a d) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 a d) 3) (neg.f64 (pow.f64 (.f64 (/.f64 b d) (/.f64 c d)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 b d) (/.f64 c d)) 2) (*.f64 (/.f64 a d) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))))
(/.f64 (-.f64 (pow.f64 (/.f64 a d) 3) (pow.f64 (.f64 c (/.f64 b (.f64 d d))) 3)) (neg.f64 (fma.f64 (/.f64 a d) (fma.f64 (/.f64 c (.f64 d d)) b (/.f64 a d)) (pow.f64 (.f64 c (/.f64 b (*.f64 d d))) 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d) 2))
(fabs.f64 (/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))
(fma.f64 -1 (/.f64 a d) (*.f64 (/.f64 b d) (/.f64 c d)))
(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))))
(fma.f64 -1 (/.f64 a d) (*.f64 (/.f64 b d) (/.f64 c d)))
(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) 3))
(fma.f64 -1 (/.f64 a d) (*.f64 (/.f64 b d) (/.f64 c d)))
(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))
(fma.f64 -1 (/.f64 a d) (*.f64 (/.f64 b d) (/.f64 c d)))
(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))
(fma.f64 -1 (/.f64 a d) (*.f64 (/.f64 b d) (/.f64 c d)))
(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (/.f64 (.f64 b c) d) a) d)) 1))
(fma.f64 -1 (/.f64 a d) (*.f64 (/.f64 b d) (/.f64 c d)))
(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))
(fma.f64 -1 (/.f64 a d) (*.f64 (/.f64 b d) (/.f64 c d)))
(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 c (*.f64 d d)) b (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 c (*.f64 d d)) b (/.f64 a (neg.f64 d)))
(fma.f64 1 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 c (*.f64 d d)) b (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 (sqrt.f64 (.f64 b c)) d) (/.f64 (sqrt.f64 (.f64 b c)) d) (/.f64 a (neg.f64 d)))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c b)) d) 2) (/.f64 a (neg.f64 d)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (.f64 d d) c))) 2) (cbrt.f64 (/.f64 b (/.f64 (.f64 d d) c))) (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a (neg.f64 d)))
(fma.f64 (/.f64 c (*.f64 d d)) b (/.f64 a (neg.f64 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))
✓	7.3b	(/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)
✓	11.4b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series6.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	223	57
2	3316	57

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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(hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 c d))) 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 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))))))

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

990×	`times-frac`
956×	`associate-r`
844×	`associate-/l*`
842×	`associate-/r*`
712×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	540	10342
1	1619	10122

Stop Event

1×	node limit

Counts

298 → 295

Calls

Call 1

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 d d) (.f64 c c))
✓	3.5b	(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
✓	18.2b	(/.f64 (+.f64 (.f64 d d) (.f64 c c)) d)

Compiler

Compiled 52 to 10 computations (80.8% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1796×	`associate-/l*`
988×	`associate-/r/`
618×	`associate-/l/`
582×	`distribute-rgt-in`
548×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1872×	`distribute-lft-in`
1860×	`distribute-rgt-in`
574×	`*-commutative`
556×	`associate-r`
494×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	409	7469
1	1269	7215
2	5101	7215

Stop Event

1×	node limit

Counts

201 → 239

Calls

Call 1

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

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

eval773.0ms (5.1%)

Compiler: Compiled 40781 to 15366 computations (62.3% saved)

prune695.0ms (4.6%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1550	17	1567
Fresh	8	1	9
Picked	1	0	1
Done	1	3	4
Total	1560	21	1581

Error

0.0b

Counts

1581 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c))
▶	33.2b	(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
▶	38.7b	(/.f64 (neg.f64 a) d)
▶	38.5b	(/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) b))
✓	38.5b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	51.7b	(/.f64 c (/.f64 d (/.f64 b d)))
	41.3b	(/.f64 c (*.f64 c (/.f64 c b)))
✓	34.6b	(/.f64 b c)
	33.2b	(-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d))
✓	33.7b	(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
	23.8b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
	53.6b	(.f64 (/.f64 c (.f64 d d)) b)
	33.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c b) (hypot.f64 c d)))
▶	0.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
	45.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	55.6b	(neg.f64 (/.f64 (.f64 d a) (.f64 c c)))
	54.0b	(neg.f64 (/.f64 d (/.f64 (*.f64 c c) a)))
	55.1b	(neg.f64 (/.f64 a (/.f64 c (/.f64 d c))))
	31.6b	(neg.f64 (/.f64 a (+.f64 d (/.f64 c (/.f64 d c)))))
	48.1b	(neg.f64 (.f64 (/.f64 (.f64 (/.f64 a (hypot.f64 d c)) (sqrt.f64 d)) (hypot.f64 d c)) (sqrt.f64 d)))
▶	52.5b	(neg.f64 (*.f64 (/.f64 d c) (/.f64 a c)))

Compiler

Compiled 537 to 331 computations (38.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 d (hypot.f64 c d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
✓	1.6b	(*.f64 (/.f64 d (hypot.f64 c d)) a)
✓	6.5b	(*.f64 (/.f64 b (hypot.f64 c d)) c)

Compiler

Compiled 77 to 16 computations (79.2% saved)

series45.0ms (0.3%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
24.0ms	a	@	inf	(*.f64 (/.f64 d (hypot.f64 c d)) a)
5.0ms	d	@	-inf	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
1.0ms	b	@	0	(*.f64 (/.f64 b (hypot.f64 c d)) c)
1.0ms	b	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
1.0ms	d	@	inf	(*.f64 (/.f64 d (hypot.f64 c d)) a)

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`distribute-rgt-in`
1010×	`distribute-lft-in`
782×	`associate-/r/`
516×	`associate-/l/`
390×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	106
1	329	94
2	4651	88

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

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

simplify166.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-r`
1072×	`associate-/l*`
1044×	`*-commutative`
1026×	`associate-l`
884×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	899	20797
1	2821	20515

Stop Event

1×	node limit

Counts

333 → 496

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1976×	`*-un-lft-identity`
1842×	`add-cube-cbrt`
1808×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2451	19

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-/r*`
1360×	`associate-/l*`
932×	`associate--r+`
856×	`associate-+l-`
788×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1562
1	302	1562
2	1317	1562
3	5631	1562

Stop Event

1×	node limit

Counts

82 → 50

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
✓	3.0b	(/.f64 c (/.f64 d b))

Compiler

Compiled 32 to 8 computations (75% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`associate-/r/`
950×	`associate-/l/`
598×	`distribute-lft-neg-in`
588×	`distribute-rgt-in`
558×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	230	38
2	3603	38

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

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

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1696×	`distribute-lft-in`
1688×	`distribute-rgt-in`
1354×	`associate-/r/`
500×	`*-commutative`
436×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	360	5871
1	1021	5133
2	3930	5133

Stop Event

1×	node limit

Counts

215 → 197

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	7.3b	(/.f64 (fma.f64 c c (*.f64 d d)) b)
✓	11.4b	(/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) b))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`associate-/l*`
1406×	`associate-*r/`
1062×	`*-commutative`
958×	`associate-*l/`
486×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	210	44
2	2864	44

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Rules

910×	`distribute-rgt-in`
904×	`distribute-lft-in`
626×	`distribute-lft-neg-in`
560×	`distribute-rgt-neg-in`
496×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	6997
1	1044	6677
2	4175	6383

Stop Event

1×	node limit

Counts

213 → 216

Calls

Call 1

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

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

eval554.0ms (3.7%)

Compiler: Compiled 26225 to 10285 computations (60.8% saved)

prune341.0ms (2.3%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	954	5	959
Fresh	5	8	13
Picked	0	1	1
Done	2	5	7
Total	961	19	980

Error

Counts

980 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.2b	(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
✓	38.7b	(/.f64 (neg.f64 a) d)
✓	38.5b	(/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) b))
✓	38.5b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
▶	51.7b	(/.f64 c (/.f64 d (/.f64 b d)))
	41.3b	(/.f64 c (*.f64 c (/.f64 c b)))
✓	34.6b	(/.f64 b c)
	33.2b	(-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d))
▶	23.8b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
	53.6b	(.f64 (/.f64 c (.f64 d d)) b)
▶	50.9b	(*.f64 (/.f64 b d) (/.f64 c d))
	33.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c b) (hypot.f64 c d)))
▶	0.8b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 c (/.f64 (hypot.f64 c d) b)) (.f64 (/.f64 d (hypot.f64 c d)) a)))
	23.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) a))
	45.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	52.4b	(neg.f64 (/.f64 (/.f64 d (/.f64 c a)) c))
▶	31.6b	(neg.f64 (/.f64 a (+.f64 d (/.f64 c (/.f64 d c)))))
	55.1b	(neg.f64 (/.f64 a (*.f64 (/.f64 c d) c)))
✓	52.5b	(neg.f64 (*.f64 (/.f64 d c) (/.f64 a c)))

Compiler

Compiled 439 to 270 computations (38.5% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 d (hypot.f64 c d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 c (/.f64 (hypot.f64 c d) b)) (.f64 (/.f64 d (hypot.f64 c d)) a)))
	1.6b	(*.f64 (/.f64 d (hypot.f64 c d)) a)
✓	7.1b	(/.f64 c (/.f64 (hypot.f64 c d) b))

Compiler

Compiled 77 to 16 computations (79.2% saved)

series5.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`associate-/r/`
900×	`associate-/l/`
754×	`distribute-lft-in`
342×	`add-sqr-sqrt`
338×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	331	74
2	4829	74

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 b (hypot.f64 c d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 b (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 c (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (/.f64 b (hypot.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 (/.f64 c 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (/.f64 b (hypot.f64 c d)))) (sqrt.f64 (*.f64 c (/.f64 b (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (/.f64 b (hypot.f64 c d)))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 b (hypot.f64 c d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 b (hypot.f64 c d)))) 2) (cbrt.f64 (*.f64 c (/.f64 b (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (hypot.f64 c d)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (hypot.f64 c d)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (*.f64 -1 (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c (hypot.f64 c d)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c (hypot.f64 c d)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 b (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 c d) -1/2) (sqrt.f64 b)) (/.f64 c (sqrt.f64 (/.f64 (hypot.f64 c d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) b)) 2)) (/.f64 c (cbrt.f64 (/.f64 (hypot.f64 c d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (hypot.f64 c d))) (/.f64 b (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 b (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (hypot.f64 c d))) (*.f64 c (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 b (hypot.f64 c d))) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) (*.f64 (/.f64 (sqrt.f64 c) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (*.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) b) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) b)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 (hypot.f64 c d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (hypot.f64 c d)) (*.f64 (/.f64 (cbrt.f64 c) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (*.f64 (/.f64 (cbrt.f64 c) (hypot.f64 c d)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (/.f64 (hypot.f64 c d) b))) (/.f64 (cbrt.f64 c) (sqrt.f64 (/.f64 (hypot.f64 c d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) b)) 2)) (cbrt.f64 (*.f64 c (/.f64 b (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c -1) (neg.f64 (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 (hypot.f64 c d) (sqrt.f64 b))) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (neg.f64 (neg.f64 (hypot.f64 c d)))) (neg.f64 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (*.f64 (sqrt.f64 c) b))) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (*.f64 (pow.f64 (cbrt.f64 c) 2) b))) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 (hypot.f64 c d) b)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c (hypot.f64 c d)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c (hypot.f64 c d)) 1) (/.f64 b 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c 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simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-r`
1018×	`times-frac`
892×	`associate-/l*`
892×	`*-commutative`
868×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	643	14237
1	2093	13829

Stop Event

1×	node limit

Counts

225 → 326

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	2.5b	(*.f64 (/.f64 b d) (/.f64 c d))

Compiler

Compiled 20 to 7 computations (65% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 d (/.f64 b d))
✓	7.1b	(/.f64 c (/.f64 d (/.f64 b d)))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`associate-/r/`
1028×	`*-commutative`
690×	`unswap-sqr`
690×	`swap-sqr`
644×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	177	32
2	2650	32

Stop Event

1×	node limit

Counts

2 → 221

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b d) (/.f64 c d))))))))

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simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

846×	`distribute-rgt-in`
830×	`distribute-lft-in`
810×	`associate-*r/`
752×	`*-commutative`
714×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	492	6165
1	1443	5771
2	5230	5771

Stop Event

1×	node limit

Counts

281 → 284

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 c (/.f64 d c))
✓	3.5b	(/.f64 a (+.f64 d (/.f64 c (/.f64 d c))))

Compiler

Compiled 41 to 9 computations (78% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite121.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`associate-/r/`
812×	`swap-sqr`
610×	`distribute-rgt-in`
590×	`distribute-lft-in`
560×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	206	34
2	3159	34

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

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

Outputs

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

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

simplify172.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1226×	`distribute-lft-in`
1212×	`distribute-rgt-in`
1088×	`associate-/r/`
552×	`*-commutative`
458×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	429	7671
1	1205	7399
2	4414	7399

Stop Event

1×	node limit

Counts

209 → 235

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (hypot.f64 c d))
✓	0.0b	(/.f64 c (hypot.f64 c d))
✓	0.9b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series27.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
16.0ms	c	@	0	(/.f64 b (hypot.f64 c d))
1.0ms	d	@	inf	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
1.0ms	c	@	inf	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
1.0ms	c	@	0	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
1.0ms	d	@	0	(/.f64 b (hypot.f64 c d))

rewrite113.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 286

Calls

Call 1

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

Outputs

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

simplify182.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-/l/`
1390×	`associate-r`
1132×	`associate-/r*`
1094×	`associate-l`
1010×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	972	17010
1	2900	16906

Stop Event

1×	node limit

Counts

382 → 566

Calls

Call 1

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

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

eval948.0ms (6.3%)

Compiler: Compiled 42149 to 15819 computations (62.5% saved)

prune542.0ms (3.6%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	1679	7	1686
Fresh	4	4	8
Picked	1	0	1
Done	3	7	10
Total	1687	18	1705

Error

Counts

1705 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	24.2b	(/.f64 (/.f64 c (hypot.f64 c d)) (/.f64 (hypot.f64 c d) b))
	50.6b	(/.f64 (/.f64 c d) (/.f64 d b))
	50.9b	(/.f64 (/.f64 b d) (/.f64 d c))
	23.9b	(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (/.f64 (hypot.f64 c d) c) b))
✓	33.2b	(/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d)
✓	38.7b	(/.f64 (neg.f64 a) d)
✓	38.5b	(/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) b))
✓	38.5b	(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
	41.3b	(/.f64 c (*.f64 c (/.f64 c b)))
✓	34.6b	(/.f64 b c)
	51.7b	(*.f64 (/.f64 (neg.f64 c) d) (/.f64 b (hypot.f64 c d)))
	45.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	51.5b	(*.f64 c (/.f64 (/.f64 b d) d))
	44.9b	(*.f64 -1 (/.f64 b (hypot.f64 c d)))
	52.4b	(neg.f64 (/.f64 (/.f64 d (/.f64 c a)) c))
✓	31.6b	(neg.f64 (/.f64 a (+.f64 d (/.f64 c (/.f64 d c)))))
	55.1b	(neg.f64 (/.f64 a (*.f64 (/.f64 c d) c)))
✓	52.5b	(neg.f64 (*.f64 (/.f64 d c) (/.f64 a c)))

Compiler

Compiled 220 to 141 computations (35.9% saved)

regimes112.0ms (0.7%)

Counts

45 → 1

Calls

Call 1

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

Calls

5 calls:

22.0ms	c
21.0ms	b
21.0ms	a
20.0ms	d
17.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
0.7b	1	`a`
0.7b	1	`b`
0.7b	1	`c`
0.7b	1	`d`
0.7b	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 555 to 183 computations (67% saved)

regimes369.0ms (2.4%)

Counts

40 → 5

Calls

Call 1

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

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

Calls

5 calls:

134.0ms	a
82.0ms	c
66.0ms	d
53.0ms	b
25.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
8.9b	6	`a`
9.1b	3	`b`
5.8b	5	`c`
7.3b	4	`d`
7.0b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 432 to 145 computations (66.4% saved)

bsearch93.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	1.220215921302842e+134	8.947720362046057e+135
54.0ms	9.297872929532557e-111	1.1275713673466479e-100
17.0ms	-2.1931279713162346e-127	-6.629510375182817e-132
7.0ms	-1.3330116305308e+181	-1.1002932566380401e+181

Results

86.0ms	448×	body	256	valid
1.0ms	13×	body	256	infinite

Compiler

Compiled 1090 to 658 computations (39.6% saved)

regimes550.0ms (3.7%)

Counts

39 → 5

Calls

Call 1

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

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

Calls

5 calls:

157.0ms	a
139.0ms	d
114.0ms	b
82.0ms	c
52.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
12.2b	8	`a`
13.8b	5	`b`
8.8b	5	`c`
7.9b	5	`d`
11.0b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 415 to 141 computations (66% saved)

bsearch57.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
0.0ms	3.3725987835689904e-115	3.436108249452822e-115
19.0ms	-4.5713720236882294e+24	-1231370406616.8672
17.0ms	-2.284145579417926e+77	-2.064063702507492e+71
20.0ms	-2.077841264903295e+173	-3.530674938222481e+159

Results

52.0ms

464×

body

256

valid

Compiler

Compiled 945 to 607 computations (35.8% saved)

regimes515.0ms (3.4%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

5 calls:

147.0ms	d
103.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
98.0ms	a
82.0ms	c
76.0ms	b

Results

Error	Segments	Branch
13.3b	5	`a`
14.4b	5	`b`
8.8b	5	`c`
10.1b	7	`d`
11.9b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 400 to 136 computations (66% saved)

bsearch60.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	2.884813824509899e-37	1.109946128103716e-33
17.0ms	-2.1931279713162346e-127	-6.629510375182817e-132
9.0ms	-3.4492233137974175e+36	-1.991417595068495e+36
18.0ms	-3.15818409965305e+74	-4.413391259550591e+69

Results

54.0ms	464×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 990 to 601 computations (39.3% saved)

regimes554.0ms (3.7%)

Counts

34 → 6

Calls

Call 1

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

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

Calls

5 calls:

219.0ms	a
107.0ms	d
94.0ms	b
80.0ms	c
48.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
16.8b	11	`a`
19.9b	6	`b`
8.6b	6	`c`
10.1b	7	`d`
13.9b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 352 to 122 computations (65.3% saved)

bsearch124.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
16.0ms	5.320943755586308e+108	2.1097427863312842e+113
41.0ms	2.884813824509899e-37	1.109946128103716e-33
40.0ms	-2.1931279713162346e-127	-6.629510375182817e-132
8.0ms	-3.4492233137974175e+36	-1.991417595068495e+36
18.0ms	-3.15818409965305e+74	-4.413391259550591e+69

Results

116.0ms	592×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 1310 to 801 computations (38.9% saved)

regimes771.0ms (5.1%)

Counts

33 → 6

Calls

Call 1

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

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

Calls

5 calls:

306.0ms	a
134.0ms	b
133.0ms	d
111.0ms	c
79.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
16.8b	11	`a`
19.9b	6	`b`
8.6b	6	`c`
10.1b	7	`d`
13.9b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 338 to 121 computations (64.2% saved)

bsearch101.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
16.0ms	5.320943755586308e+108	2.1097427863312842e+113
17.0ms	2.884813824509899e-37	1.109946128103716e-33
43.0ms	-2.1931279713162346e-127	-6.629510375182817e-132
8.0ms	-3.4492233137974175e+36	-1.991417595068495e+36
18.0ms	-3.15818409965305e+74	-4.413391259550591e+69

Results

92.0ms	592×	body	256	valid
1.0ms	14×	body	256	infinite

Compiler

Compiled 1322 to 813 computations (38.5% saved)

regimes355.0ms (2.4%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

4 calls:

126.0ms	a
83.0ms	d
77.0ms	b
63.0ms	c

Results

Error	Segments	Branch
18.8b	11	`a`
20.3b	6	`b`
11.4b	5	`c`
11.5b	7	`d`

Compiler

Compiled 247 to 87 computations (64.8% saved)

bsearch69.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	5.914747037541201e-79	9.766375285682462e-49
18.0ms	-1.957732232788749e-43	-9.490232637389352e-50
8.0ms	-1893523.435410974	-1110355.812114378
19.0ms	-3.15818409965305e+74	-4.413391259550591e+69

Results

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

Compiler

Compiled 1056 to 664 computations (37.1% saved)

regimes319.0ms (2.1%)

Counts

23 → 7

Calls

Call 1

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

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

Calls

4 calls:

124.0ms	a
71.0ms	d
69.0ms	b
51.0ms	c

Results

Error	Segments	Branch
18.8b	11	`a`
20.3b	6	`b`
11.7b	5	`c`
11.5b	7	`d`

Compiler

Compiled 213 to 79 computations (62.9% saved)

bsearch119.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
17.0ms	7.759425985652066e+180	7.90626119970534e+185
17.0ms	2.6536235743284213e+97	3.464761298075289e+103
17.0ms	2.7246629390079915e-69	1.5554623841910198e-62
23.0ms	-4.5713720236882294e+24	-1231370406616.8672
20.0ms	-2.284145579417926e+77	-2.064063702507492e+71
23.0ms	-2.077841264903295e+173	-3.530674938222481e+159

Results

108.0ms	896×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 1799 to 1137 computations (36.8% saved)

regimes283.0ms (1.9%)

Counts

21 → 7

Calls

Call 1

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

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

Calls

4 calls:

111.0ms	a
64.0ms	d
61.0ms	b
44.0ms	c

Results

Error	Segments	Branch
17.6b	13	`a`
20.3b	6	`b`
11.7b	5	`c`
11.6b	7	`d`

Compiler

Compiled 191 to 75 computations (60.7% saved)

bsearch113.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	7.759425985652066e+180	7.90626119970534e+185
18.0ms	2.6536235743284213e+97	3.464761298075289e+103
19.0ms	2.7246629390079915e-69	1.5554623841910198e-62
20.0ms	-4.5713720236882294e+24	-1231370406616.8672
18.0ms	-2.284145579417926e+77	-2.064063702507492e+71
19.0ms	-2.077841264903295e+173	-3.530674938222481e+159

Results

102.0ms	896×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 1761 to 1118 computations (36.5% saved)

regimes210.0ms (1.4%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

4 calls:

77.0ms	a
44.0ms	d
43.0ms	c
42.0ms	b

Results

Error	Segments	Branch
21.0b	9	`a`
21.9b	4	`b`
13.8b	5	`c`
14.3b	5	`d`

Compiler

Compiled 180 to 74 computations (58.9% saved)

bsearch66.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	5.914747037541201e-79	9.766375285682462e-49
18.0ms	-1.957732232788749e-43	-9.490232637389352e-50
8.0ms	-3.4492233137974175e+36	-1.991417595068495e+36
18.0ms	-3.15818409965305e+74	-4.413391259550591e+69

Results

59.0ms	528×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 1082 to 677 computations (37.4% saved)

regimes180.0ms (1.2%)

Counts

19 → 5

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	a
41.0ms	b
40.0ms	d
40.0ms	c

Results

Error	Segments	Branch
22.4b	7	`a`
22.1b	4	`b`
15.5b	5	`c`
15.7b	5	`d`

Compiler

Compiled 169 to 71 computations (58% saved)

bsearch52.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	2.884813824509899e-37	1.109946128103716e-33
12.0ms	-1.4066862228846747e-42	-1.957732232788749e-43
8.0ms	-1893523.435410974	-1110355.812114378
17.0ms	-3.15818409965305e+74	-4.413391259550591e+69

Results

47.0ms	432×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 648 to 436 computations (32.7% saved)

regimes186.0ms (1.2%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	c
52.0ms	a
38.0ms	b
37.0ms	d

Results

Error	Segments	Branch
22.4b	7	`a`
22.2b	4	`b`
15.6b	5	`c`
15.7b	5	`d`

Compiler

Compiled 147 to 66 computations (55.1% saved)

bsearch53.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	2.884813824509899e-37	1.109946128103716e-33
12.0ms	-1.4066862228846747e-42	-1.957732232788749e-43
8.0ms	-1893523.435410974	-1110355.812114378
17.0ms	-3.15818409965305e+74	-4.413391259550591e+69

Results

48.0ms	432×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 620 to 422 computations (31.9% saved)

regimes181.0ms (1.2%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

4 calls:

63.0ms	b
45.0ms	d
35.0ms	c
34.0ms	a

Results

Error	Segments	Branch
27.6b	5	`a`
25.7b	9	`b`
19.1b	5	`c`
20.6b	5	`d`

Compiler

Compiled 128 to 60 computations (53.1% saved)

bsearch62.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	2.884813824509899e-37	1.109946128103716e-33
19.0ms	-4.680246402657846e-50	-2.8274061956123828e-58
8.0ms	-3.4492233137974175e+36	-1.991417595068495e+36
18.0ms	-3.15818409965305e+74	-4.413391259550591e+69

Results

56.0ms	480×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 575 to 420 computations (27% saved)

regimes64.0ms (0.4%)

Accuracy

Total -41.9b remaining (-216.8%)

Threshold costs -41.9b (-216.8%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	b
16.0ms	d
13.0ms	c
12.0ms	a

Results

Error	Segments	Branch
27.6b	5	`a`
27.0b	7	`b`
19.3b	5	`c`
20.6b	5	`d`

Compiler

Compiled 31 to 23 computations (25.8% saved)

bsearch58.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	2.884813824509899e-37	1.109946128103716e-33
18.0ms	-4.680246402657846e-50	-2.8274061956123828e-58
8.0ms	-3.4492233137974175e+36	-1.991417595068495e+36
17.0ms	-3.15818409965305e+74	-4.413391259550591e+69

Results

52.0ms	480×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 536 to 407 computations (24.1% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative`
54×	`+-commutative`
34×	`sub-neg`
24×	`neg-mul-1`
24×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	231	2449
1	298	2403
2	356	2403
3	395	2391
4	416	2391
5	427	2391
6	429	2391
7	431	2391

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
(if (<=.f64 c -12200000000000000020694506930432839103747937530813160244420363958504306723735570222472716233286455335606245648533275313122684086877353268911655994275907038664044937726300802271674368) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d))) (if (<=.f64 c -8491156056859499/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))) (if (<=.f64 c 2969587359799945/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (if (<=.f64 c 1950000000000000159584292343165223671293683868512682156448125515885826638187032783314764580097192656030579605694528512506781919728369664) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))) (-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))))))
(if (<=.f64 d -6799999999999999825870774144344484389838710575721020238143344304405967448788976003131007789408836175933685665282841552743864901502545997960847195532118059909120) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d -20499999999999999197100908481172823481538881310847730292348061385469292707840) (neg.f64 (/.f64 a (+.f64 d (/.f64 c (/.f64 d c))))) (if (<=.f64 d -1179999999999999974834176) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d 942707696001077/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (fma.f64 -1 (/.f64 (/.f64 a (/.f64 c d)) c) (/.f64 b c)) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) a))))))
(if (<=.f64 c -4699999999999999957773865776715190503357602937761357286250807184850944) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -3199999999999999899627715453375217664) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 c -7492196520758381/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c 6547527335242445/46768052394588893382517914646921056628989841375232) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))))))
(if (<=.f64 c -78999999999999993794908201877267146071704930915467312463198318716950413312) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -3399999999999999819567471374372962304) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 c -1646234587080699/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c 4863877449037245/748288838313422294120286634350736906063837462003712) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (if (<=.f64 c 57999999999999999364535469646021636083140052579344040621499437568198364945685873157370950053011555948687261696) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c))))))))
(if (<=.f64 c -5799999999999999654434560579925134552545058000795235532636057809977344) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -3399999999999999819567471374372962304) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 c -3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1309505467048489/46768052394588893382517914646921056628989841375232) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (if (<=.f64 c 30000000000000001541450961331713175933041337824187750660578830223615938314547980033503861230836200160588988416) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))))))))
(if (<=.f64 c -26600000000000001163088437315733225176639245721442892207414829043941376) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -1350000) (/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d) (if (<=.f64 c -6749139785887759/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (.f64 c c)) (if (<=.f64 c 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c)))))))
(if (<=.f64 d -6199999999999999634648816478344014572835478259197865866120525071776467690569267557058083209623566946566338933262092736042624027159236012412597581855794644647936) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d -290000000000000024896005313625518109648963087216270509819503532991599083520) (neg.f64 (/.f64 a (+.f64 d (/.f64 c (/.f64 d c))))) (if (<=.f64 d -500000000000000000000) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d 1794777383178401/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 33999999999999998473698596403661482134119280257189840057735636944866201213450891644571638493571329294336) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d 7800000000000000164276413467399129787576269302337772073730063814163823390426797563696381939563588795115391892353544469751191874847009355735821518990372135589953961667829292851003392) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))))))))
(if (<=.f64 d -3999999999999999713938775948673683089222933880237876272519723551711089625219576494466961122018984802295926681725673198094806934918755122597676251531346781929472) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 d -1550000000000000056873828026063575107772117294807701743241170040081300324352) (neg.f64 (/.f64 a (+.f64 d (/.f64 c (/.f64 d c))))) (if (<=.f64 d -440000000000000000) (/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d) (if (<=.f64 d 1794777383178401/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 33999999999999998473698596403661482134119280257189840057735636944866201213450891644571638493571329294336) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 d 7800000000000000164276413467399129787576269302337772073730063814163823390426797563696381939563588795115391892353544469751191874847009355735821518990372135589953961667829292851003392) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))))))))
(if (<=.f64 c -4600000000000000333644607355034481580328522284374000995383766715203584) (-.f64 (/.f64 b c) (.f64 d (/.f64 a (.f64 c c)))) (if (<=.f64 c -2150000000000000024796091688784232448) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 c -3163659274634887/25108406941546723055343157692830665664409421777856138051584) (-.f64 (/.f64 b c) (.f64 d (/.f64 a (.f64 c c)))) (if (<=.f64 c 1644556746696189/13479973333575319897333507543509815336818572211270286240551805124608) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (-.f64 (/.f64 b c) (.f64 d (/.f64 a (.f64 c c))))))))
(if (<=.f64 c -12500000000000000523519069552643224487392923333004228539292846397587456) (/.f64 b c) (if (<=.f64 c -1150000) (/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d) (if (<=.f64 c -3515176971816541/3138550867693340381917894711603833208051177722232017256448) (/.f64 b c) (if (<=.f64 c 6430607204255973/5846006549323611672814739330865132078623730171904) (-.f64 (*.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (/.f64 b c)))))
(if (<=.f64 c -4499999999999999943267578500409343478125928055832052895147165153755136) (/.f64 b c) (if (<=.f64 c -1150000) (/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d) (if (<=.f64 c -8474087342772019/6277101735386680763835789423207666416102355444464034512896) (/.f64 b c) (if (<=.f64 c 1646235444289529/748288838313422294120286634350736906063837462003712) (/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d) (/.f64 b c)))))
(if (<=.f64 c -73000000000000004528547085418689735030387818329041510943459780258168832) (/.f64 b c) (if (<=.f64 c -3399999999999999819567471374372962304) (*.f64 c (/.f64 (/.f64 b d) d)) (if (<=.f64 c -2211558125039701/52656145834278593348959013841835216159447547700274555627155488768) (/.f64 b c) (if (<=.f64 c 4442964977485945/46768052394588893382517914646921056628989841375232) (/.f64 (neg.f64 a) d) (/.f64 b c)))))
(if (<=.f64 c -6399999999999999697953422408842675628240082646583148705946983903264768) (/.f64 b c) (if (<=.f64 c -2800000000000000059748203611379728384) (/.f64 (neg.f64 a) d) (if (<=.f64 c -4739053125085073/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 b c) (if (<=.f64 c 5261405894391251/5846006549323611672814739330865132078623730171904) (/.f64 (neg.f64 a) d) (/.f64 b c)))))
(/.f64 b c)

Outputs
(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 (/.f64 b (hypot.f64 c d)) c) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 c (/.f64 b (hypot.f64 c d))) (*.f64 (/.f64 d (hypot.f64 c d)) a)))
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(if (<=.f64 c -4699999999999999957773865776715190503357602937761357286250807184850944) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -3199999999999999899627715453375217664) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 c -7492196520758381/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c 6547527335242445/46768052394588893382517914646921056628989841375232) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))))))
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(if (<=.f64 c -78999999999999993794908201877267146071704930915467312463198318716950413312) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -3399999999999999819567471374372962304) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 c -1646234587080699/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c 4863877449037245/748288838313422294120286634350736906063837462003712) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (if (<=.f64 c 57999999999999999364535469646021636083140052579344040621499437568198364945685873157370950053011555948687261696) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c))))))))
(if (<=.f64 c -78999999999999993794908201877267146071704930915467312463198318716950413312) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -3399999999999999819567471374372962304) (-.f64 (.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) (if (<=.f64 c -1646234587080699/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (fma.f64 c c (.f64 d d))) (if (<=.f64 c 4863877449037245/748288838313422294120286634350736906063837462003712) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (if (<=.f64 c 57999999999999999364535469646021636083140052579344040621499437568198364945685873157370950053011555948687261696) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 d d) (.f64 c c))) (-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c))))))))
(if (<=.f64 c -5799999999999999654434560579925134552545058000795235532636057809977344) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -3399999999999999819567471374372962304) (-.f64 (.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)) (if (<=.f64 c -3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1309505467048489/46768052394588893382517914646921056628989841375232) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (if (<=.f64 c 30000000000000001541450961331713175933041337824187750660578830223615938314547980033503861230836200160588988416) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))))))))
(if (<=.f64 c -5799999999999999654434560579925134552545058000795235532636057809977344) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -3399999999999999819567471374372962304) (-.f64 (.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d)) (if (<=.f64 c -3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 d d) (.f64 c c))) (if (<=.f64 c 1309505467048489/46768052394588893382517914646921056628989841375232) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (if (<=.f64 c 30000000000000001541450961331713175933041337824187750660578830223615938314547980033503861230836200160588988416) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 d d) (.f64 c c))) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))))))))
(if (<=.f64 c -26600000000000001163088437315733225176639245721442892207414829043941376) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -1350000) (/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d) (if (<=.f64 c -6749139785887759/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (.f64 c c)) (if (<=.f64 c 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c)))))))
(if (<=.f64 c -26600000000000001163088437315733225176639245721442892207414829043941376) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -1350000) (/.f64 (-.f64 (/.f64 c (/.f64 d b)) a) d) (if (<=.f64 c -6749139785887759/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (.f64 c c)) (if (<=.f64 c 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192) (-.f64 (.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c)))))))
(if (<=.f64 d -6199999999999999634648816478344014572835478259197865866120525071776467690569267557058083209623566946566338933262092736042624027159236012412597581855794644647936) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d -290000000000000024896005313625518109648963087216270509819503532991599083520) (neg.f64 (/.f64 a (+.f64 d (/.f64 c (/.f64 d c))))) (if (<=.f64 d -500000000000000000000) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d 1794777383178401/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 33999999999999998473698596403661482134119280257189840057735636944866201213450891644571638493571329294336) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d 7800000000000000164276413467399129787576269302337772073730063814163823390426797563696381939563588795115391892353544469751191874847009355735821518990372135589953961667829292851003392) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))))))))
(if (<=.f64 d -6199999999999999634648816478344014572835478259197865866120525071776467690569267557058083209623566946566338933262092736042624027159236012412597581855794644647936) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d -290000000000000024896005313625518109648963087216270509819503532991599083520) (/.f64 (neg.f64 a) (+.f64 d (/.f64 c (/.f64 d c)))) (if (<=.f64 d -500000000000000000000) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d 1794777383178401/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 33999999999999998473698596403661482134119280257189840057735636944866201213450891644571638493571329294336) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d)) (if (<=.f64 d 7800000000000000164276413467399129787576269302337772073730063814163823390426797563696381939563588795115391892353544469751191874847009355735821518990372135589953961667829292851003392) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))))))))
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(/.f64 b c)

Compiler

Compiled 950 to 450 computations (52.6% saved)

soundness0.0ms (0%)

end163.0ms (1.1%)

Compiler: Compiled 894 to 247 computations (72.4% saved)