Details

analyze410.0ms (2.9%)

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 (7.6%)

Results

964.0ms	8256×	body	256	valid
78.0ms	477×	body	256	infinite

Bogosity

preprocess82.0ms (0.6%)

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)

simplify81.0ms (0.6%)

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

2 alts after pruning (2 fresh and 0 done)

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

Error

26.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% 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))
✓	0.2b	(-.f64 (.f64 b c) (.f64 a d))
✓	25.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series10.0ms (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)))

rewrite112.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 255

Calls

Call 1

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

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

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

simplify148.0ms (1.1%)

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 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(pow.f64 (hypot.f64 c d) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(.f64 (-.f64 (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))

eval118.0ms (0.8%)

Compiler: Compiled 11157 to 3076 computations (72.4% saved)

prune81.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	370	13	383
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	371	13	384

Error

0.6b

Counts

384 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) 2) (+.f64 (.f64 c c) (.f64 d d)))
▶	43.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
	45.6b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
	38.0b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
	39.5b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 c c) (*.f64 d d)))
	37.6b	(/.f64 (neg.f64 a) d)
▶	35.7b	(/.f64 b c)
▶	38.3b	(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
▶	31.2b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	34.3b	(-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d))
	49.0b	(.f64 (/.f64 (-.f64 (.f64 c b) (.f64 a d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (*.f64 d d)))
	35.7b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b)
▶	16.4b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))

Compiler

Compiled 410 to 252 computations (38.5% saved)

localize15.0ms (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 b c) (.f64 a d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
✓	15.2b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))

Compiler

Compiled 58 to 15 computations (74.1% saved)

series14.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite113.0ms (0.8%)

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

simplify224.0ms (1.6%)

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

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

localize4.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(*.f64 (/.f64 d c) (/.f64 a c))
✓	1.9b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series8.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite159.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

Outputs

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simplify168.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1750×	`associate-+r+`
958×	`+-commutative`
848×	`fma-def`
604×	`associate-r`
506×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	13397
1	1300	11955
2	6572	11859

Stop Event

1×	node limit

Counts

255 → 289

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (.f64 b c) (.f64 a d))
✓	17.1b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series25.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	d	@	0	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
0.0ms	b	@	0	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
0.0ms	a	@	0	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
0.0ms	b	@	-inf	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))
0.0ms	c	@	-inf	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 d d))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`associate-*l/`
898×	`distribute-lft-in`
480×	`associate-/l/`
388×	`associate-/r/`
328×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	247	31
2	3736	31

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate-/l*`
1140×	`associate-*r/`
1066×	`*-commutative`
802×	`distribute-lft-in`
790×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	4163
1	588	3973
2	2524	3933

Stop Event

1×	node limit

Counts

107 → 99

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.3b	(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)))
✓	18.3b	(/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	251	44
2	3523	44

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

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

simplify190.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1420×	`distribute-lft-in`
1414×	`distribute-rgt-in`
702×	`associate-/l*`
614×	`*-commutative`
524×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	7996
1	1351	7708
2	5338	7708

Stop Event

1×	node limit

Counts

254 → 281

Calls

Call 1

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

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

eval889.0ms (6.4%)

Compiler: Compiled 42559 to 12911 computations (69.7% saved)

prune627.0ms (4.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1535	21	1556
Fresh	6	2	8
Picked	1	0	1
Done	3	1	4
Total	1545	24	1569

Error

Counts

1569 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	51.4b	(/.f64 (/.f64 (neg.f64 d) c) (/.f64 c a))
	31.2b	(/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)
	54.4b	(/.f64 (.f64 d (neg.f64 a)) (.f64 c c))
	52.3b	(/.f64 (.f64 c b) (.f64 d d))
	39.5b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (*.f64 c c)))
▶	46.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))
▶	37.6b	(/.f64 (neg.f64 a) d)
	52.9b	(/.f64 c (/.f64 (*.f64 d d) b))
✓	35.7b	(/.f64 b c)
	31.5b	(/.f64 a (-.f64 (/.f64 (*.f64 c (neg.f64 c)) d) d))
▶	17.2b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))))
	34.3b	(-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d))
	23.7b	(+.f64 (/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (.f64 c c))) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b))
	43.1b	(.f64 (pow.f64 d -2) (-.f64 (.f64 b c) (*.f64 a d)))
	39.4b	(.f64 (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) d) (/.f64 1 d))
	28.0b	(*.f64 (/.f64 (neg.f64 a) (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))
▶	35.7b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
	50.4b	(*.f64 (/.f64 c d) (/.f64 b d))
	32.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c b) (hypot.f64 c d)))
	45.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 a (/.f64 c d)) (neg.f64 b)))
	41.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b))))
▶	44.5b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	49.3b	(.f64 (/.f64 -1 c) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	52.1b	(neg.f64 (*.f64 (/.f64 (/.f64 a c) c) d))

Compiler

Compiled 693 to 433 computations (37.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (hypot.f64 c d) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d)))
	0.2b	(-.f64 (.f64 b c) (.f64 a d))
✓	1.1b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))))
	15.2b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))

Compiler

Compiled 68 to 13 computations (80.9% saved)

series10.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`associate-/r/`
946×	`distribute-lft-in`
792×	`associate-/l/`
348×	`associate-+l+`
324×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	312	74
2	4474	74

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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simplify264.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1230×	`associate-r`
1150×	`associate-/l*`
1068×	`*-commutative`
978×	`associate-l`
908×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	677	19342
1	2407	18856

Stop Event

1×	node limit

Counts

274 → 351

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize26.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	21.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

73 → 61

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 d d) (.f64 c c))
✓	2.9b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
✓	17.4b	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series11.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	d	@	inf	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))
1.0ms	b	@	0	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
0.0ms	c	@	0	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))
0.0ms	b	@	inf	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
0.0ms	c	@	inf	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))

rewrite179.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 276

Calls

Call 1

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

Outputs

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

simplify158.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	721	14480
1	1948	14124

Stop Event

1×	node limit

Counts

360 → 421

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`add-sqr-sqrt`
1832×	`*-un-lft-identity`
1692×	`add-cube-cbrt`
1668×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	219	13
2	2664	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1448×	`associate-/l*`
1324×	`times-frac`
866×	`associate-/r*`
824×	`associate-*r/`
782×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2681
1	579	2591
2	2238	2463

Stop Event

1×	node limit

Counts

61 → 100

Calls

Call 1

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

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

eval565.0ms (4.1%)

Compiler: Compiled 38450 to 15624 computations (59.4% saved)

prune658.0ms (4.7%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1408	13	1421
Fresh	3	15	18
Picked	1	0	1
Done	1	4	5
Total	1413	32	1445

Error

Counts

1445 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(/.f64 (/.f64 (*.f64 c b) (hypot.f64 c d)) (hypot.f64 c d))
	51.4b	(/.f64 (/.f64 (neg.f64 d) c) (/.f64 c a))
	31.2b	(/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)
▶	54.4b	(/.f64 (.f64 d (neg.f64 a)) (.f64 c c))
	52.3b	(/.f64 (.f64 c b) (.f64 d d))
	39.5b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (*.f64 c c)))
✓	46.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))
	44.5b	(/.f64 (neg.f64 b) (hypot.f64 c d))
	58.4b	(/.f64 (neg.f64 b) d)
✓	37.6b	(/.f64 (neg.f64 a) d)
	58.5b	(/.f64 b d)
✓	35.7b	(/.f64 b c)
	31.5b	(/.f64 a (-.f64 (/.f64 (*.f64 c (neg.f64 c)) d) d))
▶	56.3b	(/.f64 a d)
	33.1b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (*.f64 c b) (hypot.f64 c d))))
	45.3b	(/.f64 1 (/.f64 (hypot.f64 c d) (+.f64 (/.f64 a (/.f64 c d)) (neg.f64 b))))
▶	37.7b	(/.f64 1 (/.f64 (neg.f64 d) a))
	34.3b	(-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d))
▶	23.7b	(+.f64 (/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (.f64 c c))) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b))
	43.1b	(.f64 (pow.f64 d -2) (-.f64 (.f64 b c) (*.f64 a d)))
▶	39.4b	(.f64 (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) d) (/.f64 1 d))
	28.0b	(*.f64 (/.f64 (neg.f64 a) (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))
✓	35.7b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
	52.7b	(.f64 (/.f64 c (.f64 d d)) b)
	44.7b	(.f64 (/.f64 c (.f64 c c)) b)
	50.4b	(*.f64 (/.f64 c d) (/.f64 b d))
	41.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b))))
	58.4b	(*.f64 (/.f64 1 d) (neg.f64 b))
	58.5b	(*.f64 (/.f64 -1 d) (neg.f64 b))
	49.3b	(.f64 (/.f64 -1 c) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	56.3b	(*.f64 a (/.f64 1 d))
	52.1b	(neg.f64 (*.f64 (/.f64 (/.f64 a c) c) d))

Compiler

Compiled 786 to 506 computations (35.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 d d) (.f64 c c))
	2.9b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
✓	16.2b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (*.f64 c c)))
	17.4b	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))

Compiler

Compiled 83 to 13 computations (84.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`associate-*r/`
1216×	`associate-*l/`
618×	`distribute-lft-in`
568×	`associate-/r/`
406×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	260	25
2	3813	25

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

948×	`associate-/r/`
870×	`unswap-sqr`
686×	`distribute-lft-in`
670×	`distribute-rgt-in`
514×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	6237
1	897	5637
2	3833	5541

Stop Event

1×	node limit

Counts

127 → 182

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (neg.f64 d) a))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`add-sqr-sqrt`
1566×	`*-un-lft-identity`
1456×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	186	7
2	2479	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (neg.f64 d) a))

Outputs

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1090×	`distribute-lft-in`
1034×	`distribute-rgt-in`
916×	`associate-+r+`
828×	`*-commutative`
806×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	773
1	265	737
2	1012	731
3	3980	731

Stop Event

1×	node limit

Counts

65 → 51

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.2b	(/.f64 (.f64 d (neg.f64 a)) (.f64 c c))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-*r/`
1042×	`*-commutative`
1012×	`associate-*l/`
652×	`swap-sqr`
384×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	213	19
2	3182	19

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1462×	`associate-+l-`
1154×	`associate-/r*`
842×	`*-commutative`
654×	`unswap-sqr`
642×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3624
1	650	3318
2	2380	3312
3	6781	3312

Stop Event

1×	node limit

Counts

136 → 117

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (.f64 b c) (.f64 a d))
✓	1.4b	(.f64 (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) d) (/.f64 1 d))
✓	9.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) d)

Compiler

Compiled 47 to 14 computations (70.2% saved)

series5.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite125.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`distribute-rgt-in`
986×	`associate-/l/`
954×	`distribute-lft-in`
804×	`associate-/r/`
346×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	287	56
2	4076	56

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

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

Outputs

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

simplify174.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1000×	`times-frac`
902×	`associate-l`
844×	`associate-r`
758×	`associate-/l*`
754×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	474	11422
1	1532	10584
2	7483	10584

Stop Event

1×	node limit

Counts

270 → 256

Calls

Call 1

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

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

eval603.0ms (4.3%)

Compiler: Compiled 40196 to 14266 computations (64.5% saved)

prune482.0ms (3.5%)

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	1369	4	1373
Fresh	2	21	23
Picked	1	0	1
Done	1	7	8
Total	1373	32	1405

Error

Counts

1405 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(/.f64 (/.f64 (*.f64 c b) (hypot.f64 c d)) (hypot.f64 c d))
	51.4b	(/.f64 (/.f64 (neg.f64 d) c) (/.f64 c a))
	31.2b	(/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)
✓	54.4b	(/.f64 (.f64 d (neg.f64 a)) (.f64 c c))
	52.3b	(/.f64 (.f64 c b) (.f64 d d))
	39.5b	(/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (*.f64 c c)))
✓	46.6b	(/.f64 (.f64 a (neg.f64 d)) (.f64 d d))
	44.5b	(/.f64 (neg.f64 b) (hypot.f64 c d))
	58.4b	(/.f64 (neg.f64 b) d)
✓	37.6b	(/.f64 (neg.f64 a) d)
	58.5b	(/.f64 b d)
✓	35.7b	(/.f64 b c)
	31.5b	(/.f64 a (-.f64 (/.f64 (*.f64 c (neg.f64 c)) d) d))
✓	56.3b	(/.f64 a d)
	33.1b	(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (*.f64 c b) (hypot.f64 c d))))
	45.3b	(/.f64 1 (/.f64 (hypot.f64 c d) (+.f64 (/.f64 a (/.f64 c d)) (neg.f64 b))))
✓	37.7b	(/.f64 1 (/.f64 (neg.f64 d) a))
	39.4b	(/.f64 1 (/.f64 d (/.f64 (-.f64 (.f64 b c) (.f64 a d)) d)))
	34.3b	(-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d))
	28.0b	(*.f64 (/.f64 (neg.f64 a) (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))
✓	35.7b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) b)
	52.7b	(.f64 (/.f64 c (.f64 d d)) b)
	44.7b	(.f64 (/.f64 c (.f64 c c)) b)
	50.4b	(*.f64 (/.f64 c d) (/.f64 b d))
	51.4b	(*.f64 (/.f64 a c) (neg.f64 (/.f64 d c)))
	41.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b))))
	58.4b	(*.f64 (/.f64 1 d) (neg.f64 b))
	58.5b	(*.f64 (/.f64 -1 d) (neg.f64 b))
	37.7b	(*.f64 (/.f64 -1 d) a)
	49.3b	(.f64 (/.f64 -1 c) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	50.5b	(.f64 (.f64 b (/.f64 c d)) (/.f64 1 d))
	56.3b	(*.f64 a (/.f64 1 d))

Compiler

Compiled 393 to 260 computations (33.8% saved)

regimes448.0ms (3.2%)

Counts

52 → 5

Calls

Call 1

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

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

Calls

5 calls:

134.0ms	c
113.0ms	d
101.0ms	b
63.0ms	a
26.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
10.9b	3	`a`
11.1b	5	`b`
8.3b	5	`c`
8.1b	5	`d`
9.7b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 573 to 178 computations (68.9% saved)

bsearch67.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	8.845730244745363e+117	9.581507140126269e+132
16.0ms	8.769169999999733e-155	8.402776563577142e-151
18.0ms	-4.402929057198149e-117	-6.400124425251237e-122
13.0ms	-1.7154949589805977e+153	-2.1458027953145127e+151

Results

59.0ms	544×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 1355 to 829 computations (38.8% saved)

regimes678.0ms (4.9%)

Counts

48 → 5

Calls

Call 1

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

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

Calls

5 calls:

194.0ms	b
177.0ms	a
138.0ms	d
116.0ms	c
41.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
16.0b	5	`a`
15.5b	6	`b`
9.9b	5	`c`
10.4b	5	`d`
13.1b	4	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 498 to 159 computations (68.1% saved)

bsearch106.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
54.0ms	2.893602566972754e+37	1.084035872135477e+44
21.0ms	2.224469115793416e-123	3.039182014299021e-107
19.0ms	-1.0119255707083866e-27	-1.315779708379921e-32
12.0ms	-4.865994314505861e+144	-9.768946198106019e+143

Results

59.0ms	544×	body	256	valid
2.0ms	22×	body	256	infinite

Compiler

Compiled 1367 to 786 computations (42.5% saved)

regimes397.0ms (2.9%)

Counts

34 → 5

Calls

Call 1

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

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

Calls

5 calls:

139.0ms	d
90.0ms	c
64.0ms	b
58.0ms	a
38.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
21.4b	3	`a`
20.1b	4	`b`
10.4b	5	`c`
11.6b	7	`d`
14.3b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 322 to 115 computations (64.3% saved)

bsearch67.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	2.893602566972754e+37	1.084035872135477e+44
20.0ms	2.224469115793416e-123	3.039182014299021e-107
15.0ms	-13217752749.343575	-668355.1017958344
12.0ms	-4.865994314505861e+144	-9.768946198106019e+143

Results

60.0ms	528×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 1140 to 706 computations (38.1% saved)

regimes320.0ms (2.3%)

Counts

33 → 4

Calls

Call 1

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

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

Calls

4 calls:

99.0ms	d
93.0ms	b
68.0ms	a
54.0ms	c

Results

Error	Segments	Branch
21.8b	5	`a`
20.0b	7	`b`
12.0b	4	`c`
13.6b	7	`d`

Compiler

Compiled 288 to 103 computations (64.2% saved)

bsearch45.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
17.0ms	5.519132661283914e+29	9.257026020977384e+34
16.0ms	-13217752749.343575	-668355.1017958344
12.0ms	-4.865994314505861e+144	-9.768946198106019e+143

Results

41.0ms

368×

body

256

valid

Compiler

Compiled 744 to 468 computations (37.1% saved)

regimes249.0ms (1.8%)

Counts

25 → 4

Calls

Call 1

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

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

Calls

4 calls:

77.0ms	d
71.0ms	b
51.0ms	a
44.0ms	c

Results

Error	Segments	Branch
21.8b	5	`a`
20.2b	7	`b`
12.0b	4	`c`
13.6b	7	`d`

Compiler

Compiled 194 to 85 computations (56.2% saved)

bsearch45.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
17.0ms	5.519132661283914e+29	9.257026020977384e+34
16.0ms	-13217752749.343575	-668355.1017958344
12.0ms	-4.865994314505861e+144	-9.768946198106019e+143

Results

40.0ms

368×

body

256

valid

Compiler

Compiled 732 to 462 computations (36.9% saved)

regimes332.0ms (2.4%)

Counts

24 → 6

Calls

Call 1

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

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

Calls

4 calls:

108.0ms	a
92.0ms	b
88.0ms	c
39.0ms	d

Results

Error	Segments	Branch
22.0b	5	`a`
21.4b	6	`b`
12.0b	6	`c`
17.2b	3	`d`

Compiler

Compiled 183 to 84 computations (54.1% saved)

bsearch109.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
17.0ms	5.519132661283914e+29	9.257026020977384e+34
11.0ms	5.530015714989797e-53	2.1980121346580464e-52
20.0ms	2.224469115793416e-123	3.039182014299021e-107
49.0ms	-13217752749.343575	-668355.1017958344
13.0ms	-4.865994314505861e+144	-9.768946198106019e+143

Results

101.0ms	608×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 1180 to 762 computations (35.4% saved)

regimes363.0ms (2.6%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

147.0ms	a
135.0ms	b
48.0ms	d
29.0ms	c

Results

Error	Segments	Branch
21.9b	8	`a`
21.0b	7	`b`
14.7b	3	`c`
17.2b	3	`d`

Compiler

Compiled 172 to 81 computations (52.9% saved)

bsearch34.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.519132661283914e+29	9.257026020977384e+34
16.0ms	-13217752749.343575	-668355.1017958344

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 519 to 340 computations (34.5% saved)

regimes335.0ms (2.4%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

4 calls:

132.0ms	b
73.0ms	a
71.0ms	d
55.0ms	c

Results

Error	Segments	Branch
24.4b	8	`a`
23.7b	9	`b`
16.3b	3	`c`
17.2b	3	`d`

Compiler

Compiled 162 to 76 computations (53.1% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.007142269682945157	375372.4125421684
16.0ms	-13217752749.343575	-668355.1017958344

Results

34.0ms

272×

body

256

valid

Compiler

Compiled 417 to 289 computations (30.7% saved)

regimes223.0ms (1.6%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

81.0ms	b
76.0ms	a
31.0ms	c
30.0ms	d

Results

Error	Segments	Branch
25.6b	7	`a`
26.0b	9	`b`
19.7b	3	`c`
20.9b	3	`d`

Compiler

Compiled 153 to 73 computations (52.3% saved)

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.519132661283914e+29	9.257026020977384e+34
16.0ms	-13217752749.343575	-668355.1017958344

Results

32.0ms

272×

body

256

valid

Compiler

Compiled 315 to 238 computations (24.4% saved)

regimes27.0ms (0.2%)

Accuracy

Total -29.4b remaining (-91.7%)

Threshold costs -29.4b (-91.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	d
9.0ms	c
4.0ms	b
3.0ms	a

Results

Error	Segments	Branch
35.7b	1	`a`
35.7b	1	`b`
33.6b	3	`c`
32.1b	3	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.7418546082723767e+159	2.7658037476663473e+163
6.0ms	-1.1605357709876133e+200	-7.83476779171551e+199

Results

20.0ms

176×

body

256

valid

Compiler

Compiled 202 to 149 computations (26.2% saved)

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1403
1	201	1399
2	244	1395
3	279	1395
4	299	1395
5	307	1395
6	309	1395

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 d -22000000000000000668641202237032576816594352140673814978467666854367292890716227596437494079653750332466021396501220460836257120685851787163036660269056) (.f64 (/.f64 (neg.f64 a) (hypot.f64 d c)) (/.f64 d (hypot.f64 d c))) (if (<=.f64 d -1802560036253105/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))) (if (<=.f64 d 8151758837614529/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 30999999999999998627553285397478021884432354708809986614975210595911701127053952565574403766295687984423220591353397248) (.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 (neg.f64 a) (/.f64 c (/.f64 d b))))))))
(if (<=.f64 c -1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -890602560248519/45671926166590716193865151022383844364247891968) (+.f64 (/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (.f64 c c))) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b)) (if (<=.f64 c 935776021765775/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d)) (if (<=.f64 c 104999999999999993416796972718876254028169216) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))))
(if (<=.f64 c -1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -820000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 7442828536787015/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d)) (if (<=.f64 c 16500000000000000663243006732916359780368384) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))))
(if (<=.f64 c -4000000000000000094981729434604421429634631711314728749893859954680949718168082290272710512864333176517383876535360464303173652679560326293749760) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -190000000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 114999999999999998064607205785600) (-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))
(if (<=.f64 c -1020000000000000076207897770589406081652097039068075270656129451740202962579353120543690702135885392011453002969134007723394486959604854998171648) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c -2500000000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 29500000000000001853233827938304) (-.f64 (.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))
(if (<=.f64 c -1099999999999999939474047653240751531324080466140184673832152882042993198418735735618079522111890903543080375292862312139897411943017470075338752) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c -7800000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 1156847945382935/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (/.f64 a (-.f64 (/.f64 (.f64 c (neg.f64 c)) d) d)) (if (<=.f64 c 4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 29500000000000001853233827938304) (/.f64 a (-.f64 (/.f64 (.f64 c (neg.f64 c)) d) d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))))
(if (<=.f64 c -760000000) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c 1080000000000000050748792403656704) (/.f64 a (-.f64 (/.f64 (*.f64 c (neg.f64 c)) d) d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))
(if (<=.f64 c -680000) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c 1080863910568919/9007199254740992) (/.f64 (neg.f64 a) d) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))
(if (<=.f64 c -100000000) (/.f64 b c) (if (<=.f64 c 79000000000000002978260245807104) (/.f64 (neg.f64 a) d) (/.f64 b c)))
(if (<=.f64 d -84999999999999992328390657022416593635285995509978185886911558128288358455557237480192712979818783791863363807376657625617252306246626964616315643424164397858978256247532905878724341290467156822065152) (/.f64 a d) (if (<=.f64 d 54999999999999999578625288399754402781112224370582892714319109334120027063320756377463921599997363666913357820156474028608892866715333693097021097755339221106688) (/.f64 b c) (/.f64 a d)))
(/.f64 a d)

Outputs
(if (<=.f64 d -22000000000000000668641202237032576816594352140673814978467666854367292890716227596437494079653750332466021396501220460836257120685851787163036660269056) (.f64 (/.f64 (neg.f64 a) (hypot.f64 d c)) (/.f64 d (hypot.f64 d c))) (if (<=.f64 d -1802560036253105/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (hypot.f64 c d))) (if (<=.f64 d 8151758837614529/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 30999999999999998627553285397478021884432354708809986614975210595911701127053952565574403766295687984423220591353397248) (.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 (neg.f64 a) (/.f64 c (/.f64 d b))))))))
(if (<=.f64 d -22000000000000000668641202237032576816594352140673814978467666854367292890716227596437494079653750332466021396501220460836257120685851787163036660269056) (.f64 (/.f64 (neg.f64 a) (hypot.f64 d c)) (/.f64 d (hypot.f64 d c))) (if (<=.f64 d -1802560036253105/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (if (<=.f64 d 8151758837614529/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 30999999999999998627553285397478021884432354708809986614975210595911701127053952565574403766295687984423220591353397248) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (neg.f64 a) (/.f64 c (/.f64 d b))))))))
(if (<=.f64 d -22000000000000000668641202237032576816594352140673814978467666854367292890716227596437494079653750332466021396501220460836257120685851787163036660269056) (.f64 (/.f64 (neg.f64 a) (hypot.f64 d c)) (/.f64 d (hypot.f64 d c))) (if (<=.f64 d -1802560036253105/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (if (<=.f64 d 8151758837614529/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 d 30999999999999998627553285397478021884432354708809986614975210595911701127053952565574403766295687984423220591353397248) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 c (/.f64 d b)) a))))))
(if (<=.f64 c -1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -890602560248519/45671926166590716193865151022383844364247891968) (+.f64 (/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (.f64 c c))) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b)) (if (<=.f64 c 935776021765775/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d)) (if (<=.f64 c 104999999999999993416796972718876254028169216) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))))
(if (<=.f64 c -1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -890602560248519/45671926166590716193865151022383844364247891968) (+.f64 (/.f64 (.f64 a (neg.f64 d)) (+.f64 (.f64 d d) (.f64 c c))) (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c))))) (if (<=.f64 c 935776021765775/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (-.f64 (.f64 b (/.f64 c (.f64 d d))) (/.f64 a d)) (if (<=.f64 c 104999999999999993416796972718876254028169216) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 d d) (*.f64 c c))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))))
(if (<=.f64 c -1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -890602560248519/45671926166590716193865151022383844364247891968) (+.f64 (/.f64 (.f64 d (neg.f64 a)) (+.f64 (.f64 d d) (.f64 c c))) (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c))))) (if (<=.f64 c 935776021765775/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (-.f64 (.f64 b (/.f64 c (.f64 d d))) (/.f64 a d)) (if (<=.f64 c 104999999999999993416796972718876254028169216) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 d d) (*.f64 c c))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))))
(if (<=.f64 c -1449999999999999991107912949406370587329832368115906305642194930824710285797186383120399626450420416487951559866887260538162777824409808453763072) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -890602560248519/45671926166590716193865151022383844364247891968) (-.f64 (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) (/.f64 (.f64 d a) (+.f64 (.f64 d d) (.f64 c c)))) (if (<=.f64 c 935776021765775/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (-.f64 (.f64 b (/.f64 c (.f64 d d))) (/.f64 a d)) (if (<=.f64 c 104999999999999993416796972718876254028169216) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 d d) (*.f64 c c))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))))
(if (<=.f64 c -1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -820000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 7442828536787015/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d)) (if (<=.f64 c 16500000000000000663243006732916359780368384) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))))
(if (<=.f64 c -1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -820000) (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) (if (<=.f64 c 7442828536787015/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (-.f64 (.f64 b (/.f64 c (.f64 d d))) (/.f64 a d)) (if (<=.f64 c 16500000000000000663243006732916359780368384) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))))
(if (<=.f64 c -4000000000000000094981729434604421429634631711314728749893859954680949718168082290272710512864333176517383876535360464303173652679560326293749760) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -190000000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 114999999999999998064607205785600) (-.f64 (.f64 (/.f64 c (.f64 d d)) b) (/.f64 a d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))
(if (<=.f64 c -4000000000000000094981729434604421429634631711314728749893859954680949718168082290272710512864333176517383876535360464303173652679560326293749760) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -190000000) (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) (if (<=.f64 c 114999999999999998064607205785600) (-.f64 (.f64 b (/.f64 c (.f64 d d))) (/.f64 a d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))
(if (<=.f64 c -1020000000000000076207897770589406081652097039068075270656129451740202962579353120543690702135885392011453002969134007723394486959604854998171648) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c -2500000000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 29500000000000001853233827938304) (-.f64 (.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))
(if (<=.f64 c -1020000000000000076207897770589406081652097039068075270656129451740202962579353120543690702135885392011453002969134007723394486959604854998171648) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c -2500000000) (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) (if (<=.f64 c 29500000000000001853233827938304) (-.f64 (.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))
(if (<=.f64 c -1099999999999999939474047653240751531324080466140184673832152882042993198418735735618079522111890903543080375292862312139897411943017470075338752) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c -7800000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 1156847945382935/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (/.f64 a (-.f64 (/.f64 (.f64 c (neg.f64 c)) d) d)) (if (<=.f64 c 4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) b) (if (<=.f64 c 29500000000000001853233827938304) (/.f64 a (-.f64 (/.f64 (.f64 c (neg.f64 c)) d) d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))))
(if (<=.f64 c -1099999999999999939474047653240751531324080466140184673832152882042993198418735735618079522111890903543080375292862312139897411943017470075338752) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c -7800000) (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) (if (<=.f64 c 1156847945382935/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (/.f64 a (-.f64 (/.f64 (.f64 c (neg.f64 c)) d) d)) (if (<=.f64 c 4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432) (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) (if (<=.f64 c 29500000000000001853233827938304) (/.f64 a (-.f64 (/.f64 (.f64 c (neg.f64 c)) d) d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))))
(if (<=.f64 c -1099999999999999939474047653240751531324080466140184673832152882042993198418735735618079522111890903543080375292862312139897411943017470075338752) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c -7800000) (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) (if (<=.f64 c 1156847945382935/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (/.f64 a (-.f64 (neg.f64 d) (/.f64 (.f64 c c) d))) (if (<=.f64 c 4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432) (.f64 b (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) (if (<=.f64 c 29500000000000001853233827938304) (/.f64 a (-.f64 (neg.f64 d) (/.f64 (.f64 c c) d))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c))))))
(if (<=.f64 c -760000000) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c 1080000000000000050748792403656704) (/.f64 a (-.f64 (/.f64 (*.f64 c (neg.f64 c)) d) d)) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))
(if (or (<=.f64 c -760000000) (not (<=.f64 c 1080000000000000050748792403656704))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (/.f64 a (-.f64 (/.f64 (*.f64 c (neg.f64 c)) d) d)))
(if (or (<=.f64 c -760000000) (not (<=.f64 c 1080000000000000050748792403656704))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (/.f64 a (-.f64 (neg.f64 d) (/.f64 (*.f64 c c) d))))
(if (<=.f64 c -680000) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (if (<=.f64 c 1080863910568919/9007199254740992) (/.f64 (neg.f64 a) d) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c)))
(if (or (<=.f64 c -680000) (not (<=.f64 c 1080863910568919/9007199254740992))) (/.f64 (-.f64 b (/.f64 d (/.f64 c a))) c) (/.f64 (neg.f64 a) d))
(if (<=.f64 c -100000000) (/.f64 b c) (if (<=.f64 c 79000000000000002978260245807104) (/.f64 (neg.f64 a) d) (/.f64 b c)))
(if (<=.f64 d -84999999999999992328390657022416593635285995509978185886911558128288358455557237480192712979818783791863363807376657625617252306246626964616315643424164397858978256247532905878724341290467156822065152) (/.f64 a d) (if (<=.f64 d 54999999999999999578625288399754402781112224370582892714319109334120027063320756377463921599997363666913357820156474028608892866715333693097021097755339221106688) (/.f64 b c) (/.f64 a d)))
(/.f64 a d)

Compiler

Compiled 562 to 277 computations (50.7% saved)

soundness804.0ms (5.8%)

Algorithm

11×	egg-herbie

Rules

1420×	`distribute-lft-in`
1414×	`distribute-rgt-in`
1366×	`associate-/l*`
1366×	`associate-/l*`
1366×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	652	17311
1	1831	15457
0	652	17311
1	1831	15457
0	765	21672
1	2486	18996
0	652	17311
1	1831	15457
0	652	17311
1	1831	15457
0	129	933
1	324	885
2	1418	885
3	6203	885
0	652	17311
1	1831	15457
0	452	7996
1	1351	7708
2	5338	7708
0	765	21672
1	2486	18996
0	652	17311
1	1831	15457
0	765	21672
1	2486	18996

Stop Event

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

Compiler

Compiled 836 to 423 computations (49.4% saved)

end99.0ms (0.7%)

Compiler: Compiled 522 to 147 computations (71.8% saved)