Details

analyze1.3s (19.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
9.7%	90.1%	0.2%	12
23.4%	76.4%	0.2%	13
24.8%	75%	0.2%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.0s (15.4%)

Results

972.0ms	8256×	body	128	valid
57.0ms	472×	body	128	invalid

Compiler

Compiled 40 to 24 computations (40% saved)

preprocess37.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

905×	`fma-def_binary64`
532×	`associate-/l*_binary64`
381×	`fma-neg_binary64`
305×	`div-sub_binary64`
300×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	140
1	122	140
2	243	140
3	398	140
4	872	140
5	1687	140
6	3097	140
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 (fma.f64 d (neg.f64 a) (.f64 b c)) (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 d (neg.f64 b) (.f64 c a)) (fma.f64 c c (.f64 d d)))
(/.f64 (fma.f64 c a (.f64 b (neg.f64 d))) (fma.f64 c c (.f64 d d)))
(/.f64 (fma.f64 b (neg.f64 d) (.f64 c a)) (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 (-.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 (fma.f64 d (neg.f64 a) (.f64 b c)) (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 (fma.f64 d (neg.f64 a) (.f64 b c)) (fma.f64 b b (.f64 d d)))
(/.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 (fma.f64 c d (.f64 b (neg.f64 a))) (fma.f64 b b (.f64 c c)))
(/.f64 (fma.f64 b (neg.f64 a) (.f64 c d)) (fma.f64 b b (.f64 c c)))
(/.f64 (fma.f64 c d (.f64 a (neg.f64 b))) (fma.f64 b b (.f64 c c)))
(/.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 b d (.f64 c (neg.f64 a))) (fma.f64 c c (.f64 d d)))
(/.f64 (fma.f64 b d (.f64 a (neg.f64 c))) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
768×	`times-frac_binary64`
756×	`fma-neg_binary64`
281×	`associate-/l*_binary64`
228×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	25	20
2	51	20
3	82	20
4	166	20
5	297	20
6	488	20
7	738	20
8	1199	20
9	1800	20
10	2769	20
11	4928	20

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)))

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

26.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	26.5b	(/.f64 (fma.f64 d (neg.f64 a) (.f64 b c)) (fma.f64 c c (.f64 d d)))
▶	26.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 107 to 57 computations (46.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.7b	(-.f64 (.f64 b c) (.f64 a d))
✓	26.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

series18.0ms (0.3%)

Counts

3 → 120

Calls

30 calls:

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

rewrite86.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

306×	`fma-neg_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`
147×	`add-sqr-sqrt_binary64`
145×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	278	36
2	4175	36

Stop Event

1×	node limit

Counts

3 → 165

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

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simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-def_binary64`
483×	`associate-*l/_binary64`
469×	`cancel-sign-sub-inv_binary64`
382×	`fma-neg_binary64`
359×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1926
1	133	1806
2	386	1767
3	1782	1722

Stop Event

1×	node limit

Counts

285 → 195

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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(*.f64 -1 (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)) (/.f64 a d)))
(/.f64 b c)
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(-.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 b c) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(/.f64 b c)
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(-.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 b c) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(/.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 b c)
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(-.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 b c) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(*.f64 -1 (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)) (/.f64 a d)))
(*.f64 -1 (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)) (/.f64 a d)))
(.f64 -1 (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(*.f64 c b)
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(*.f64 c b)
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(.f64 -1 (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(*.f64 c b)
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(*.f64 c b)
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(*.f64 c b)
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(.f64 -1 (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(.f64 -1 (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(*.f64 c b)
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(.f64 -1 (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(.f64 -1 (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(-.f64 (.f64 c b) (.f64 a d))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))

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

prune225.0ms (3.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	183	12	195
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	185	12	197

Error

1.2b

Counts

197 → 12

Alt Table

Status	Error	Program
	32.7b	(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))
	41.4b	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
	26.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3))
	17.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	39.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))))
	27.6b	(-.f64 (/.f64 c (/.f64 (pow.f64 (hypot.f64 c d) 2) b)) (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2)))
	51.1b	(.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)))
	26.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (pow.f64 (hypot.f64 c d) 2))
	37.5b	(.f64 (/.f64 (neg.f64 d) (fma.f64 d d (.f64 c c))) a)
	22.7b	(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b c)) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (.f64 b c)) (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
▶	15.6b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
	38.8b	(/.f64 b c)

Compiler

Compiled 4783 to 1568 computations (67.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 c (hypot.f64 c d))
✓	0.0b	(hypot.f64 c d)
✓	0.7b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
✓	18.3b	(/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))

series30.0ms (0.4%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	(/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))
3.0ms	c	@	0	(hypot.f64 c d)
2.0ms	a	@	inf	(/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))
2.0ms	a	@	0	(/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))
1.0ms	b	@	0	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))

rewrite290.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`prod-diff_binary64`
469×	`egg-rr`
153×	`add-sqr-sqrt_binary64`
150×	`pow1_binary64`
148×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	304	52
2	4106	52

Stop Event

1×	node limit

Counts

4 → 579

Calls

Call 1

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

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

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

741×	`times-frac_binary64`
484×	`associate-/l*_binary64`
364×	`cancel-sign-sub-inv_binary64`
359×	`fma-def_binary64`
358×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	3270
1	428	3134
2	1406	2994

Stop Event

1×	node limit

Counts

711 → 676

Calls

Call 1

Inputs
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 a d) (pow.f64 c 2))
(-.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6))) (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.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 a (pow.f64 d 7)) (pow.f64 c 8))))
(/.f64 a d)
(-.f64 (/.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (+.f64 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 7)) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))
(/.f64 a d)
(-.f64 (/.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (+.f64 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 7)) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))
(/.f64 a d)
(-.f64 (/.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (+.f64 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 7)) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))
(/.f64 (*.f64 a d) (pow.f64 c 2))
(-.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6))) (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.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 a (pow.f64 d 7)) (pow.f64 c 8))))
(/.f64 (*.f64 a d) (pow.f64 c 2))
(-.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6))) (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.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 a (pow.f64 d 7)) (pow.f64 c 8))))
(.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(*.f64 -1 (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)) (/.f64 a d)))
(/.f64 b c)
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(-.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 b c) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(/.f64 b c)
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(-.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 b c) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(/.f64 b c)
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(-.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 b c) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(*.f64 -1 (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)) (/.f64 a d)))
(*.f64 -1 (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)) (/.f64 a d)))
(/.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) d) (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))) (*.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(-.f64 (+.f64 c (.f64 1/2 (/.f64 (pow.f64 d 2) c))) (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(-.f64 (+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (.f64 1/2 (/.f64 (pow.f64 d 2) c)))) (*.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(*.f64 -1 c)
(neg.f64 (+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (+.f64 c (.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(-.f64 (+.f64 c (.f64 1/2 (/.f64 (pow.f64 d 2) c))) (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(-.f64 (+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (.f64 1/2 (/.f64 (pow.f64 d 2) c)))) (*.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) d) (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))) (*.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(*.f64 -1 d)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) d))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 d (*.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))))))
(/.f64 c d)
(-.f64 (/.f64 c d) (*.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (/.f64 c d)) (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (/.f64 c d)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (*.f64 5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7)))))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)))) (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 6)))))
-1
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1)
(-.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (.f64 5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 6)))) (+.f64 1 (*.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)))))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)))) (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 4)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(/.f64 c d)
(-.f64 (/.f64 c d) (*.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (/.f64 c d)) (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (/.f64 c d)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (*.f64 5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7)))))
(*.f64 -1 (/.f64 c d))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 c d))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (/.f64 c d)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (.f64 5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7)))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (/.f64 c d)))

Outputs
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (pow.f64 c 2))
(/.f64 (.f64 a d) (.f64 c c))
(*.f64 (/.f64 d c) (/.f64 a c))
(-.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(-.f64 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(-.f64 (.f64 (/.f64 d c) (/.f64 a c)) (.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))
(.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6))) (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(+.f64 (/.f64 (.f64 a d) (.f64 c c)) (-.f64 (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))))
(-.f64 (+.f64 (.f64 (/.f64 d c) (/.f64 a c)) (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5))) (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))
(fma.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5) (.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (*.f64 c c)))))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.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 a (pow.f64 d 7)) (pow.f64 c 8))))
(-.f64 (+.f64 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5)))) (+.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (/.f64 a (/.f64 (pow.f64 c 8) (pow.f64 d 7)))))
(+.f64 (.f64 (/.f64 d c) (/.f64 a c)) (-.f64 (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5)) (+.f64 (.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)) (.f64 (/.f64 a (pow.f64 c 8)) (pow.f64 d 7)))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5))) (.f64 (/.f64 a (pow.f64 c 4)) (+.f64 (pow.f64 d 3) (/.f64 (pow.f64 d 7) (pow.f64 c 4)))))
(/.f64 a d)
(-.f64 (/.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(-.f64 (/.f64 a d) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)))
(-.f64 (/.f64 a d) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (/.f64 a d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(+.f64 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 5)) (-.f64 (/.f64 a d) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a))))
(+.f64 (/.f64 a d) (-.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a) (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c)))))
(+.f64 (/.f64 a d) (*.f64 a (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (+.f64 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 7)) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))
(-.f64 (+.f64 (/.f64 a d) (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 5))) (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) a))))
(+.f64 (/.f64 a d) (-.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a) (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c))) (*.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) a))))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a (/.f64 a d)) (*.f64 a (+.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(/.f64 a d)
(-.f64 (/.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(-.f64 (/.f64 a d) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)))
(-.f64 (/.f64 a d) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (/.f64 a d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(+.f64 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 5)) (-.f64 (/.f64 a d) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a))))
(+.f64 (/.f64 a d) (-.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a) (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c)))))
(+.f64 (/.f64 a d) (*.f64 a (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (+.f64 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 7)) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))
(-.f64 (+.f64 (/.f64 a d) (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 5))) (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) a))))
(+.f64 (/.f64 a d) (-.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a) (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c))) (*.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) a))))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a (/.f64 a d)) (*.f64 a (+.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(/.f64 a d)
(-.f64 (/.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(-.f64 (/.f64 a d) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)))
(-.f64 (/.f64 a d) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (/.f64 a d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3)))
(+.f64 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 5)) (-.f64 (/.f64 a d) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a))))
(+.f64 (/.f64 a d) (-.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a) (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c)))))
(+.f64 (/.f64 a d) (*.f64 a (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (/.f64 a d)) (+.f64 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 7)) (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))
(-.f64 (+.f64 (/.f64 a d) (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 5))) (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) a))))
(+.f64 (/.f64 a d) (-.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a) (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c))) (*.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) a))))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a (/.f64 a d)) (*.f64 a (+.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(/.f64 (*.f64 a d) (pow.f64 c 2))
(/.f64 (.f64 a d) (.f64 c c))
(*.f64 (/.f64 d c) (/.f64 a c))
(-.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(-.f64 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(-.f64 (.f64 (/.f64 d c) (/.f64 a c)) (.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))
(.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6))) (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(+.f64 (/.f64 (.f64 a d) (.f64 c c)) (-.f64 (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))))
(-.f64 (+.f64 (.f64 (/.f64 d c) (/.f64 a c)) (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5))) (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))
(fma.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5) (.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (*.f64 c c)))))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.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 a (pow.f64 d 7)) (pow.f64 c 8))))
(-.f64 (+.f64 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5)))) (+.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (/.f64 a (/.f64 (pow.f64 c 8) (pow.f64 d 7)))))
(+.f64 (.f64 (/.f64 d c) (/.f64 a c)) (-.f64 (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5)) (+.f64 (.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)) (.f64 (/.f64 a (pow.f64 c 8)) (pow.f64 d 7)))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5))) (.f64 (/.f64 a (pow.f64 c 4)) (+.f64 (pow.f64 d 3) (/.f64 (pow.f64 d 7) (pow.f64 c 4)))))
(/.f64 (*.f64 a d) (pow.f64 c 2))
(/.f64 (.f64 a d) (.f64 c c))
(*.f64 (/.f64 d c) (/.f64 a c))
(-.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(-.f64 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))
(-.f64 (.f64 (/.f64 d c) (/.f64 a c)) (.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))
(.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6))) (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)))
(+.f64 (/.f64 (.f64 a d) (.f64 c c)) (-.f64 (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))))
(-.f64 (+.f64 (.f64 (/.f64 d c) (/.f64 a c)) (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5))) (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))
(fma.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5) (.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (*.f64 c c)))))
(-.f64 (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.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 a (pow.f64 d 7)) (pow.f64 c 8))))
(-.f64 (+.f64 (/.f64 (.f64 a d) (.f64 c c)) (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5)))) (+.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (/.f64 a (/.f64 (pow.f64 c 8) (pow.f64 d 7)))))
(+.f64 (.f64 (/.f64 d c) (/.f64 a c)) (-.f64 (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5)) (+.f64 (.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)) (.f64 (/.f64 a (pow.f64 c 8)) (pow.f64 d 7)))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5))) (.f64 (/.f64 a (pow.f64 c 4)) (+.f64 (pow.f64 d 3) (/.f64 (pow.f64 d 7) (pow.f64 c 4)))))
(.f64 -1 (/.f64 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(neg.f64 (/.f64 a (/.f64 (+.f64 (.f64 d d) (.f64 c c)) d)))
(/.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) d))
(.f64 (/.f64 a (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 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (/.f64 (.f64 c b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 a (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) d)))
(-.f64 (/.f64 (.f64 c b) (fma.f64 d d (.f64 c c))) (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d))
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d
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c
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c
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d
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1
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-1
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1
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(+.f64 (fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (/.f64 c d)) (*.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))))
(+.f64 (fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (/.f64 c d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) -1/2))
(fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) -1/2 (/.f64 c d)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (/.f64 c d)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (*.f64 5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7)))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (/.f64 c d)) (fma.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (*.f64 5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7)))))
(+.f64 (fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (/.f64 c d)) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) -1/2 (*.f64 (/.f64 (pow.f64 c 7) (pow.f64 d 7)) -5/16)))
(*.f64 -1 (/.f64 c d))
(/.f64 (neg.f64 c) d)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 c d))
(fma.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 (neg.f64 c) d))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (/.f64 c d)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (/.f64 c d)))
(fma.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (neg.f64 (fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (/.f64 c d))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (.f64 5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7)))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5))) (/.f64 c d)))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (*.f64 5/16 (/.f64 (pow.f64 c 7) (pow.f64 d 7)))) (fma.f64 3/8 (/.f64 (pow.f64 c 5) (pow.f64 d 5)) (/.f64 c d)))

prune783.0ms (11.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	775	3	778
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	781	9	790

Error

0.0b

Counts

790 → 9

Alt Table

Status	Error	Program
	10.2b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 2) (.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) (/.f64 c (hypot.f64 c d))) (neg.f64 (.f64 (/.f64 (.f64 a d) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d))))) (fma.f64 (neg.f64 (/.f64 (.f64 a d) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d)) (.f64 (/.f64 (.f64 a d) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))))
	27.6b	(-.f64 (/.f64 c (/.f64 (pow.f64 (hypot.f64 c d) 2) b)) (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2)))
	26.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3))
	17.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
▶	2.0b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
	41.4b	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
	26.4b	(-.f64 (/.f64 (.f64 b c) (pow.f64 (hypot.f64 c d) 2)) (.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) -2)))
	37.5b	(.f64 (/.f64 (neg.f64 d) (fma.f64 d d (.f64 c c))) a)
	22.7b	(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b c)) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (.f64 b c)) (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))

Compiler

Compiled 37989 to 14088 computations (62.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 c (hypot.f64 c d))
	0.0b	(hypot.f64 c d)
✓	0.7b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
✓	1.3b	(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))

series8.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite258.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`prod-diff_binary64`
553×	`egg-rr`
149×	`add-sqr-sqrt_binary64`
147×	`pow1_binary64`
146×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	289	41
2	4262	41

Stop Event

1×	node limit

Counts

2 → 617

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 b c) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 b c) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (/.f64 (neg.f64 d) (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)) (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 b c) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (neg.f64 (/.f64 (neg.f64 d) (hypot.f64 c d))) (/.f64 a (hypot.f64 c d)) (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 b c) (pow.f64 (hypot.f64 c d) 2))) (fma.f64 (/.f64 (neg.f64 a) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)) (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change 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simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-neg_binary64`
354×	`distribute-rgt-neg-in_binary64`
331×	`times-frac_binary64`
313×	`distribute-neg-frac_binary64`
277×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	2202
1	198	2094
2	598	1992
3	3184	1992

Stop Event

1×	node limit

Counts

701 → 655

Calls

Call 1

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

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

prune1.1s (16.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	915	6	921
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	920	10	930

Error

Counts

930 → 10

Alt Table

Status	Error	Program
	3.8b	(+.f64 (fma.f64 b (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 c (hypot.f64 c d))) (neg.f64 (.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))) a))) (fma.f64 (neg.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))) a (.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))) a)))
▶	1.5b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (/.f64 (/.f64 (*.f64 a (/.f64 d (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))))
	2.0b	(fma.f64 (/.f64 b (hypot.f64 c d)) (expm1.f64 (log1p.f64 (/.f64 c (hypot.f64 c d)))) (neg.f64 (*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
	26.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3))
	34.3b	(fma.f64 (/.f64 (/.f64 b d) d) c (/.f64 (neg.f64 a) d))
	26.4b	(-.f64 (/.f64 (.f64 b c) (pow.f64 (hypot.f64 c d) 2)) (.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) -2)))
	2.1b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (/.f64 (/.f64 a (hypot.f64 c d)) (/.f64 (hypot.f64 c d) d))))
	2.2b	(fma.f64 (/.f64 b (pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)) (/.f64 c (hypot.f64 c d)) (neg.f64 (*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
	37.5b	(.f64 (/.f64 (neg.f64 d) (fma.f64 d d (.f64 c c))) a)
	22.7b	(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b c)) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (.f64 b c)) (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))

Compiler

Compiled 47881 to 12290 computations (74.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (hypot.f64 c d))
✓	0.7b	(/.f64 (*.f64 a (/.f64 d (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
✓	0.7b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (/.f64 (/.f64 (*.f64 a (/.f64 d (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))))
✓	1.7b	(*.f64 a (/.f64 d (hypot.f64 c d)))

series41.0ms (0.6%)

Counts

4 → 112

Calls

36 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	(/.f64 (*.f64 a (/.f64 d (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
4.0ms	c	@	-inf	(cbrt.f64 (hypot.f64 c d))
3.0ms	d	@	0	(/.f64 (*.f64 a (/.f64 d (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
2.0ms	c	@	0	(/.f64 (*.f64 a (/.f64 d (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
2.0ms	c	@	inf	(cbrt.f64 (hypot.f64 c d))

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

189×	`add-sqr-sqrt_binary64`
185×	`pow1_binary64`
183×	`*-un-lft-identity_binary64`
175×	`add-log-exp_binary64`
175×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	376	65

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

690×	`times-frac_binary64`
631×	`fma-def_binary64`
473×	`cancel-sign-sub-inv_binary64`
240×	`fma-neg_binary64`
206×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	3222
1	592	3050
2	2020	2978

Stop Event

1×	node limit

Counts

225 → 201

Calls

Call 1

Inputs
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (*.f64 a d) c)
(-.f64 (/.f64 (.f64 a d) c) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 5)))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 5)))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (.f64 5/16 (/.f64 (*.f64 a (pow.f64 d 7)) (pow.f64 c 7)))))
a
(-.f64 a (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))))
(-.f64 (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))))
(-.f64 (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) (.f64 5/16 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 6)))))
(*.f64 -1 a)
(-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) a)
(-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) (.f64 5/16 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 6)))) (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))))
a
(-.f64 a (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))))
(-.f64 (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))))
(-.f64 (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) (.f64 5/16 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 6)))))
(/.f64 (*.f64 a d) c)
(-.f64 (/.f64 (.f64 a d) c) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 5)))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 5)))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (.f64 5/16 (/.f64 (*.f64 a (pow.f64 d 7)) (pow.f64 c 7)))))
(.f64 -1 (/.f64 (.f64 a d) c))
(-.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 a d) c))
(-.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (*.f64 a (pow.f64 d 5)) (pow.f64 c 5)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (.f64 5/16 (/.f64 (.f64 a (pow.f64 d 7)) (pow.f64 c 7)))) (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (*.f64 a (pow.f64 d 5)) (pow.f64 c 5)))))
(.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(*.f64 -1 (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)) (/.f64 a d)))
(/.f64 b c)
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(-.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 b c) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(/.f64 b c)
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(-.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 b c) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(/.f64 b c)
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(-.f64 (/.f64 b c) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(-.f64 (+.f64 (/.f64 b c) (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))))
(*.f64 -1 (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)) (/.f64 a d)))
(*.f64 -1 (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(-.f64 (+.f64 (/.f64 (.f64 c b) (pow.f64 d 2)) (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4)) (/.f64 a d)))
(/.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (.f64 a d) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) 5)) 1/6))
(.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (.f64 a d))
(-.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (.f64 a d)) (.f64 5/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (*.f64 a (pow.f64 d 3)))))
(-.f64 (+.f64 (.f64 55/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 17)) 1/3) (.f64 a (pow.f64 d 5)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (.f64 a d))) (.f64 5/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (.f64 a (pow.f64 d 3)))))
(-.f64 (+.f64 (.f64 55/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 17)) 1/3) (.f64 a (pow.f64 d 5)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (.f64 a d))) (+.f64 (.f64 935/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 23)) 1/3) (.f64 a (pow.f64 d 7)))) (.f64 5/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (*.f64 a (pow.f64 d 3))))))
(*.f64 a (pow.f64 (/.f64 1 (pow.f64 d 2)) 1/3))
(-.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 d 2)) 1/3)) (.f64 5/6 (.f64 (.f64 (pow.f64 c 2) a) (pow.f64 (/.f64 1 (pow.f64 d 8)) 1/3))))
(-.f64 (+.f64 (.f64 55/72 (.f64 (.f64 (pow.f64 c 4) a) (pow.f64 (/.f64 1 (pow.f64 d 14)) 1/3))) (.f64 a (pow.f64 (/.f64 1 (pow.f64 d 2)) 1/3))) (.f64 5/6 (.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 (/.f64 1 (pow.f64 d 8)) 1/3))))
(-.f64 (+.f64 (.f64 55/72 (.f64 (.f64 (pow.f64 c 4) a) (pow.f64 (/.f64 1 (pow.f64 d 14)) 1/3))) (.f64 a (pow.f64 (/.f64 1 (pow.f64 d 2)) 1/3))) (+.f64 (.f64 935/1296 (.f64 (.f64 (pow.f64 c 6) a) (pow.f64 (/.f64 1 (pow.f64 d 20)) 1/3))) (.f64 5/6 (.f64 (.f64 (pow.f64 c 2) a) (pow.f64 (/.f64 1 (pow.f64 d 8)) 1/3)))))
(pow.f64 d 1/3)
(+.f64 (pow.f64 d 1/3) (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3))))
(-.f64 (+.f64 (pow.f64 d 1/3) (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3)))) (.f64 5/72 (.f64 (pow.f64 c 4) (pow.f64 (/.f64 1 (pow.f64 d 11)) 1/3))))
(-.f64 (+.f64 (pow.f64 d 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3))) (.f64 55/1296 (.f64 (pow.f64 c 6) (pow.f64 (/.f64 1 (pow.f64 d 17)) 1/3))))) (.f64 5/72 (.f64 (pow.f64 c 4) (pow.f64 (/.f64 1 (pow.f64 d 11)) 1/3))))
(pow.f64 c 1/3)
(+.f64 (pow.f64 c 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))))
(-.f64 (+.f64 (pow.f64 c 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2)))) (.f64 5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (pow.f64 d 4))))
(-.f64 (+.f64 (pow.f64 c 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))) (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 17)) 1/3) (pow.f64 d 6))))) (.f64 5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (pow.f64 d 4))))

Outputs
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 a d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 a d) c)
(/.f64 a (/.f64 c d))
(*.f64 (/.f64 a c) d)
(-.f64 (/.f64 (.f64 a d) c) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 3))))
(+.f64 (/.f64 a (/.f64 c d)) (*.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)))))
(-.f64 (.f64 (/.f64 a c) d) (/.f64 (.f64 (*.f64 1/2 a) (pow.f64 d 3)) (pow.f64 c 3)))
(fma.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3)) -1/2 (.f64 (/.f64 a c) d))
(-.f64 (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 5)))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 3))))
(+.f64 (/.f64 a (/.f64 c d)) (-.f64 (.f64 3/8 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 5)))) (.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))))))
(+.f64 (fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (.f64 (/.f64 a c) d)) (*.f64 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) -1/2))
(fma.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3)) -1/2 (fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (*.f64 (/.f64 a c) d)))
(-.f64 (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 5)))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (.f64 5/16 (/.f64 (*.f64 a (pow.f64 d 7)) (pow.f64 c 7)))))
(-.f64 (+.f64 (/.f64 a (/.f64 c d)) (.f64 3/8 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 5))))) (fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (.f64 5/16 (/.f64 (*.f64 a (pow.f64 d 7)) (pow.f64 c 7)))))
(-.f64 (fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (.f64 (/.f64 a c) d)) (fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 (.f64 (.f64 5/16 a) (pow.f64 d 7)) (pow.f64 c 7))))
(fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (fma.f64 (/.f64 a c) d (fma.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3)) -1/2 (.f64 (/.f64 (.f64 a (pow.f64 d 7)) (pow.f64 c 7)) -5/16))))
a
(-.f64 a (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))))
(+.f64 a (.f64 -1/2 (/.f64 (.f64 a (.f64 c c)) (.f64 d d))))
(+.f64 a (/.f64 (.f64 -1/2 (.f64 c (.f64 c a))) (.f64 d d)))
(fma.f64 (*.f64 (/.f64 a d) (/.f64 c (/.f64 d c))) -1/2 a)
(-.f64 (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))))
(+.f64 a (-.f64 (.f64 3/8 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 4))) (.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (.f64 d d)))))
(+.f64 a (fma.f64 3/8 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) (/.f64 (.f64 -1/2 (.f64 c (.f64 c a))) (*.f64 d d))))
(fma.f64 3/8 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) (fma.f64 (.f64 (/.f64 a d) (/.f64 c (/.f64 d c))) -1/2 a))
(-.f64 (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) (.f64 5/16 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 6)))))
(+.f64 a (-.f64 (.f64 3/8 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 4))) (fma.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (.f64 d d)) (.f64 5/16 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 6) a))))))
(-.f64 (fma.f64 3/8 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) a) (fma.f64 1/2 (.f64 (/.f64 a d) (/.f64 (.f64 c c) d)) (/.f64 (.f64 (*.f64 5/16 a) (pow.f64 c 6)) (pow.f64 d 6))))
(+.f64 (fma.f64 3/8 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) (fma.f64 (.f64 (/.f64 a d) (/.f64 c (/.f64 d c))) -1/2 a)) (.f64 -5/16 (/.f64 (.f64 a (pow.f64 c 6)) (pow.f64 d 6))))
(*.f64 -1 a)
(neg.f64 a)
(-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) a)
(-.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (.f64 d d))) a)
(-.f64 (/.f64 (.f64 1/2 (.f64 c (.f64 c a))) (.f64 d d)) a)
(fma.f64 1/2 (*.f64 (/.f64 a d) (/.f64 c (/.f64 d c))) (neg.f64 a))
(-.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))))
(-.f64 (.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (.f64 d d))) (+.f64 a (.f64 3/8 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 4)))))
(-.f64 (/.f64 (.f64 1/2 (.f64 c (.f64 c a))) (.f64 d d)) (fma.f64 3/8 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) a))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 a d) (/.f64 c (/.f64 d c))) (/.f64 -3/8 (/.f64 (pow.f64 d 4) (.f64 a (pow.f64 c 4))))) a)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) (.f64 5/16 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 6)))) (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (.f64 d d)) (.f64 5/16 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 6) a)))) (+.f64 a (.f64 3/8 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 4)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 a d) (/.f64 (.f64 c c) d)) (/.f64 (.f64 (.f64 5/16 a) (pow.f64 c 6)) (pow.f64 d 6))) (fma.f64 3/8 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) a))
(fma.f64 5/16 (/.f64 (.f64 a (pow.f64 c 6)) (pow.f64 d 6)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 a d) (/.f64 c (/.f64 d c))) (/.f64 -3/8 (/.f64 (pow.f64 d 4) (*.f64 a (pow.f64 c 4))))) a))
a
(-.f64 a (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))))
(+.f64 a (.f64 -1/2 (/.f64 (.f64 a (.f64 c c)) (.f64 d d))))
(+.f64 a (/.f64 (.f64 -1/2 (.f64 c (.f64 c a))) (.f64 d d)))
(fma.f64 (*.f64 (/.f64 a d) (/.f64 c (/.f64 d c))) -1/2 a)
(-.f64 (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))))
(+.f64 a (-.f64 (.f64 3/8 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 4))) (.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (.f64 d d)))))
(+.f64 a (fma.f64 3/8 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) (/.f64 (.f64 -1/2 (.f64 c (.f64 c a))) (*.f64 d d))))
(fma.f64 3/8 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) (fma.f64 (.f64 (/.f64 a d) (/.f64 c (/.f64 d c))) -1/2 a))
(-.f64 (+.f64 a (.f64 3/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 4)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 2))) (.f64 5/16 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 6)))))
(+.f64 a (-.f64 (.f64 3/8 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 d 4))) (fma.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (.f64 d d)) (.f64 5/16 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 6) a))))))
(-.f64 (fma.f64 3/8 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) a) (fma.f64 1/2 (.f64 (/.f64 a d) (/.f64 (.f64 c c) d)) (/.f64 (.f64 (*.f64 5/16 a) (pow.f64 c 6)) (pow.f64 d 6))))
(+.f64 (fma.f64 3/8 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) a) (fma.f64 (.f64 (/.f64 a d) (/.f64 c (/.f64 d c))) -1/2 a)) (.f64 -5/16 (/.f64 (.f64 a (pow.f64 c 6)) (pow.f64 d 6))))
(/.f64 (*.f64 a d) c)
(/.f64 a (/.f64 c d))
(*.f64 (/.f64 a c) d)
(-.f64 (/.f64 (.f64 a d) c) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 3))))
(+.f64 (/.f64 a (/.f64 c d)) (*.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)))))
(-.f64 (.f64 (/.f64 a c) d) (/.f64 (.f64 (*.f64 1/2 a) (pow.f64 d 3)) (pow.f64 c 3)))
(fma.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3)) -1/2 (.f64 (/.f64 a c) d))
(-.f64 (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 5)))) (.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 3))))
(+.f64 (/.f64 a (/.f64 c d)) (-.f64 (.f64 3/8 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 5)))) (.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))))))
(+.f64 (fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (.f64 (/.f64 a c) d)) (*.f64 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) -1/2))
(fma.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3)) -1/2 (fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (*.f64 (/.f64 a c) d)))
(-.f64 (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 5)))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (.f64 5/16 (/.f64 (*.f64 a (pow.f64 d 7)) (pow.f64 c 7)))))
(-.f64 (+.f64 (/.f64 a (/.f64 c d)) (.f64 3/8 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 5))))) (fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (.f64 5/16 (/.f64 (*.f64 a (pow.f64 d 7)) (pow.f64 c 7)))))
(-.f64 (fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (.f64 (/.f64 a c) d)) (fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 (.f64 (.f64 5/16 a) (pow.f64 d 7)) (pow.f64 c 7))))
(fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (fma.f64 (/.f64 a c) d (fma.f64 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3)) -1/2 (.f64 (/.f64 (.f64 a (pow.f64 d 7)) (pow.f64 c 7)) -5/16))))
(.f64 -1 (/.f64 (.f64 a d) c))
(neg.f64 (/.f64 a (/.f64 c d)))
(/.f64 (neg.f64 a) (/.f64 c d))
(-.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 a d) c))
(-.f64 (*.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)))) (/.f64 a (/.f64 c d)))
(-.f64 (/.f64 (.f64 (.f64 1/2 a) (pow.f64 d 3)) (pow.f64 c 3)) (*.f64 (/.f64 a c) d))
(fma.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 3)) (/.f64 (neg.f64 a) (/.f64 c d)))
(-.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (*.f64 a (pow.f64 d 5)) (pow.f64 c 5)))))
(-.f64 (-.f64 (.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)))) (/.f64 a (/.f64 c d))) (.f64 3/8 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 5)))))
(-.f64 (/.f64 (.f64 (.f64 1/2 a) (pow.f64 d 3)) (pow.f64 c 3)) (fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (.f64 (/.f64 a c) d)))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3)) (.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) -3/8)) (.f64 (/.f64 a c) d))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 3))) (.f64 5/16 (/.f64 (.f64 a (pow.f64 d 7)) (pow.f64 c 7)))) (+.f64 (/.f64 (.f64 a d) c) (.f64 3/8 (/.f64 (*.f64 a (pow.f64 d 5)) (pow.f64 c 5)))))
(-.f64 (fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (.f64 5/16 (/.f64 (.f64 a (pow.f64 d 7)) (pow.f64 c 7)))) (+.f64 (/.f64 a (/.f64 c d)) (*.f64 3/8 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 5))))))
(-.f64 (fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 (.f64 (.f64 5/16 a) (pow.f64 d 7)) (pow.f64 c 7))) (fma.f64 3/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 5)) (.f64 (/.f64 a c) d)))
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(.f64 -1 (/.f64 (.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
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(-.f64 (+.f64 (pow.f64 c 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))) (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 17)) 1/3) (pow.f64 d 6))))) (.f64 5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (pow.f64 d 4))))
(+.f64 (cbrt.f64 c) (-.f64 (fma.f64 1/6 (.f64 (.f64 d d) (cbrt.f64 (/.f64 1 (pow.f64 c 5)))) (.f64 55/1296 (.f64 (pow.f64 d 6) (cbrt.f64 (/.f64 1 (pow.f64 c 17)))))) (.f64 5/72 (.f64 (pow.f64 d 4) (cbrt.f64 (/.f64 1 (pow.f64 c 11)))))))
(+.f64 (fma.f64 1/6 (.f64 d (.f64 d (cbrt.f64 (/.f64 1 (pow.f64 c 5))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 17))) (.f64 (pow.f64 d 6) 55/1296))) (+.f64 (cbrt.f64 c) (.f64 (.f64 -5/72 (pow.f64 d 4)) (cbrt.f64 (/.f64 1 (pow.f64 c 11))))))
(fma.f64 (.f64 (pow.f64 d 4) (cbrt.f64 (/.f64 1 (pow.f64 c 11)))) -5/72 (fma.f64 (.f64 d d) (.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 c 5)))) (fma.f64 (pow.f64 d 6) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 17))) 55/1296) (cbrt.f64 c))))

prune278.0ms (4.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	239	1	240
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	240	10	250

Error

Counts

250 → 10

Alt Table

Status	Error	Program
	3.8b	(+.f64 (fma.f64 b (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 c (hypot.f64 c d))) (neg.f64 (.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))) a))) (fma.f64 (neg.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))) a (.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))) a)))
✓	1.5b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (/.f64 (/.f64 (*.f64 a (/.f64 d (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))))
	2.0b	(fma.f64 (/.f64 b (hypot.f64 c d)) (expm1.f64 (log1p.f64 (/.f64 c (hypot.f64 c d)))) (neg.f64 (*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
	26.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3))
	1.8b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (/.f64 (pow.f64 (.f64 (/.f64 d (hypot.f64 c d)) (.f64 a (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2))) 1) (cbrt.f64 (hypot.f64 c d)))))
	2.1b	(fma.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)) (neg.f64 (/.f64 (/.f64 a (hypot.f64 c d)) (/.f64 (hypot.f64 c d) d))))
	34.3b	(fma.f64 (/.f64 (/.f64 b d) d) c (/.f64 (neg.f64 a) d))
	26.4b	(-.f64 (/.f64 (.f64 b c) (pow.f64 (hypot.f64 c d) 2)) (.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) -2)))
	2.2b	(fma.f64 (/.f64 b (pow.f64 (sqrt.f64 (hypot.f64 c d)) 2)) (/.f64 c (hypot.f64 c d)) (neg.f64 (*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
	22.7b	(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b c)) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (.f64 b c)) (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))

Compiler

Compiled 9221 to 3415 computations (63% saved)

regimes592.0ms (8.8%)

Accuracy

Total 1.0b remaining (90.5%)

Threshold costs 0b (0%)

Counts

198 → 1

Compiler

Compiled 4668 to 1220 computations (73.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	33	75
2	48	75
3	58	75
4	65	75
5	69	75
6	70	75

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

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

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

end158.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 418 to 195 computations (53.3% saved)

Details

analyze1.3s (19.7%)

sample1.0s (15.4%)

preprocess37.0ms (0.6%)

simplify34.0ms (0.5%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

series18.0ms (0.3%)

rewrite86.0ms (1.3%)

simplify50.0ms (0.7%)

prune225.0ms (3.3%)

localize11.0ms (0.2%)

series30.0ms (0.4%)

rewrite290.0ms (4.3%)

simplify110.0ms (1.6%)

prune783.0ms (11.6%)

localize10.0ms (0.2%)

series8.0ms (0.1%)

rewrite258.0ms (3.8%)

simplify98.0ms (1.5%)

prune1.1s (16.8%)

localize17.0ms (0.3%)

series41.0ms (0.6%)

rewrite40.0ms (0.6%)

simplify61.0ms (0.9%)

prune278.0ms (4.1%)

regimes592.0ms (8.8%)

simplify4.0ms (0.1%)

end158.0ms (2.3%)

Profiling