Details

analyze391.0ms (1.9%)

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

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.1s (5.3%)

Results

1.0s	8256×	body	256	valid
66.0ms	507×	body	256	invalid

preprocess109.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

905×	`fma-def_binary64`
780×	`div-sub_binary64`
532×	`associate-/l*_binary64`
381×	`fma-neg_binary64`
347×	`sub-neg_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	1697	140
6	3115	140
7	5740	140
8	6935	140
9	7987	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 (-.f64 (.f64 c d) (.f64 b 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 a (neg.f64 b) (.f64 c d)) (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 a (neg.f64 c))) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-def_binary64`
768×	`times-frac_binary64`
750×	`fma-neg_binary64`
543×	`cancel-sign-sub-inv_binary64`
441×	`distribute-rgt-neg-in_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	739	20
8	1200	20
9	1804	20
10	2775	20
11	5078	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)))

eval1.0ms (0%)

Compiler: Compiled 33 to 15 computations (54.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.9b	(-.f64 (.f64 b c) (.f64 a d))
✓	27.2b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series17.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`log-prod_binary64`
602×	`fma-def_binary64`
306×	`fma-neg_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	278	36
2	4181	36

Stop Event

1×	node limit

Counts

3 → 292

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

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(sqrt.f64 b) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 a (neg.f64 d) (*.f64 a d)))))))))

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

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

681×	`associate-*l/_binary64`
636×	`fma-neg_binary64`
630×	`associate-l_binary64`
572×	`cancel-sign-sub-inv_binary64`
468×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	1992
1	146	1806
2	477	1767
3	2345	1728

Stop Event

1×	node limit

Counts

412 → 323

Calls

Call 1

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

eval102.0ms (0.5%)

Compiler: Compiled 7754 to 1971 computations (74.6% saved)

prune86.0ms (0.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	307	16	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	308	16	324

Error

1.1b

Counts

324 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	27.8b	(/.f64 (+.f64 (.f64 b c) (fma.f64 a (neg.f64 d) (fma.f64 a (neg.f64 d) (.f64 a d)))) (+.f64 (.f64 c c) (.f64 d d)))
▶	28.0b	(.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (-.f64 (.f64 b c) (*.f64 a d)))
	47.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
▶	40.6b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
	34.0b	(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.f64 a d))
	19.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (-.f64 (.f64 b c) (*.f64 a d)) (hypot.f64 c d)))
	40.0b	(.f64 d (/.f64 (neg.f64 a) (fma.f64 d d (.f64 c c))))
▶	39.5b	(/.f64 b c)
▶	38.0b	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
	36.1b	(-.f64 (.f64 (/.f64 c (.f64 d d)) (+.f64 b (*.f64 c (/.f64 a d)))) (/.f64 a d))
▶	16.6b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
	38.0b	(/.f64 (neg.f64 a) d)
	45.5b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (pow.f64 (hypot.f64 c d) 2)))) 1)
	44.3b	(.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)))
	45.0b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b c) (.f64 a d)) 3)) (+.f64 (.f64 c c) (.f64 d d)))
	35.4b	(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))

Compiler

Compiled 586 to 350 computations (40.3% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (hypot.f64 c d))
✓	0.0b	(/.f64 c (hypot.f64 c d))
✓	1.4b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
✓	18.5b	(/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))

Compiler

Compiled 70 to 23 computations (67.1% saved)

series35.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

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

rewrite319.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`log-prod_binary64`
598×	`prod-diff_binary64`
334×	`egg-rr`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	304	55
2	4113	53

Stop Event

1×	node limit

Counts

4 → 465

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) d) (pow.f64 (hypot.f64 d c) -2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) d) (pow.f64 (hypot.f64 d c) -2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) d) (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) d) (pow.f64 (hypot.f64 d c) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) d) (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 d (.f64 a (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a d) (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a d) (neg.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))) 2) (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))) 2) (neg.f64 (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 a d) 2)) (.f64 (cbrt.f64 (.f64 a d)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a d)) (hypot.f64 d c)) (/.f64 (sqrt.f64 (.f64 a d)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a d)) (hypot.f64 d c)) (neg.f64 (/.f64 (sqrt.f64 (.f64 a d)) (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a d)) (.f64 (sqrt.f64 (.f64 a d)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (neg.f64 d)) (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (neg.f64 d)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 d c) -2) (.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (.f64 a d) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 d (hypot.f64 d c)) (/.f64 a (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 a d) 2)) (hypot.f64 d c)) (/.f64 (cbrt.f64 (.f64 a d)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a 1) (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 d 1) (/.f64 a (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (pow.f64 (hypot.f64 d c) 2)) d)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 a d) 2)) 1) (/.f64 (cbrt.f64 (.f64 a d)) (pow.f64 (hypot.f64 d c) 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 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 d (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 a (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (.f64 a d) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 a d) 2)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a d)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (sqrt.f64 (.f64 a d)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))) 2)) (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 a d)) (hypot.f64 d c))) (/.f64 (sqrt.f64 (.f64 a d)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (pow.f64 (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))) 2)) (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (/.f64 (sqrt.f64 (.f64 a d)) (hypot.f64 d c))) (/.f64 (sqrt.f64 (.f64 a d)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 d (pow.f64 (hypot.f64 d c) -2)))) 3)))) (#(struct:change 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simplify188.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

410×	`fma-def_binary64`
397×	`distribute-rgt-in_binary64`
387×	`distribute-lft-in_binary64`
262×	`distribute-rgt-neg-in_binary64`
251×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	4416
1	1117	3955
2	4577	3716

Stop Event

1×	node limit

Counts

609 → 584

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

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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.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 d) (fma.f64 d d (.f64 c c)))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) d)
(/.f64 (*.f64 a d) (pow.f64 c 2))
(/.f64 a (/.f64 (*.f64 c c) d))
(/.f64 (/.f64 (*.f64 a d) c) c)
(/.f64 a (*.f64 (/.f64 c d) c))
(+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4))))
(+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))))
(-.f64 (/.f64 (/.f64 (.f64 a d) 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 a (pow.f64 d 5)) (pow.f64 c 6)) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)))))
(+.f64 (+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))) (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5))))
(+.f64 (-.f64 (/.f64 (/.f64 (.f64 a d) c) c) (.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3))) (/.f64 (*.f64 a (pow.f64 d 5)) (pow.f64 c 6)))
(+.f64 (.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (.f64 c c)))) (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 7)) (pow.f64 c 8))) (+.f64 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6)) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 8) (pow.f64 d 7))) (+.f64 (+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))) (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5)))))
(-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (.f64 a d) c) c) (.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3))) (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6))) (.f64 (/.f64 a (pow.f64 c 8)) (pow.f64 d 7)))
(+.f64 (.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (.f64 c c)))) (-.f64 (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5)) (*.f64 (/.f64 a (pow.f64 c 8)) (pow.f64 d 7))))
(/.f64 a d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (/.f64 a d))
(-.f64 (/.f64 a d) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (/.f64 a d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))) (pow.f64 d 5))) (/.f64 a d)))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (*.f64 a (pow.f64 c 4)))) (pow.f64 d 5)) (/.f64 a d)))
(-.f64 (-.f64 (/.f64 a d) (/.f64 (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (pow.f64 d 5))) (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c))))
(-.f64 (/.f64 a d) (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a) (/.f64 (*.f64 a (neg.f64 (pow.f64 c 4))) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) a) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 2) a))))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))) (pow.f64 d 5))) (/.f64 a d))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 c c) (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (.f64 a (pow.f64 c 4))))) (fma.f64 (.f64 (pow.f64 c 6) 0) a (neg.f64 (.f64 (.f64 a (.f64 c c)) (.f64 (pow.f64 c 4) 0))))) (pow.f64 d 7)) (fma.f64 -1 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (.f64 a (pow.f64 c 4)))) (pow.f64 d 5)) (/.f64 a d))))
(-.f64 (-.f64 (-.f64 (/.f64 a d) (/.f64 (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (pow.f64 d 5))) (/.f64 (fma.f64 (.f64 (neg.f64 c) c) (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (fma.f64 a 0 (.f64 a (.f64 (.f64 c c) 0)))) (pow.f64 d 7))) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (-.f64 (/.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 (neg.f64 (pow.f64 c 4))) (pow.f64 d 5)))
(/.f64 a d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (/.f64 a d))
(-.f64 (/.f64 a d) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (/.f64 a d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))) (pow.f64 d 5))) (/.f64 a d)))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (*.f64 a (pow.f64 c 4)))) (pow.f64 d 5)) (/.f64 a d)))
(-.f64 (-.f64 (/.f64 a d) (/.f64 (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (pow.f64 d 5))) (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c))))
(-.f64 (/.f64 a d) (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a) (/.f64 (*.f64 a (neg.f64 (pow.f64 c 4))) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) a) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 2) a))))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))) (pow.f64 d 5))) (/.f64 a d))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 c c) (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (.f64 a (pow.f64 c 4))))) (fma.f64 (.f64 (pow.f64 c 6) 0) a (neg.f64 (.f64 (.f64 a (.f64 c c)) (.f64 (pow.f64 c 4) 0))))) (pow.f64 d 7)) (fma.f64 -1 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (.f64 a (pow.f64 c 4)))) (pow.f64 d 5)) (/.f64 a d))))
(-.f64 (-.f64 (-.f64 (/.f64 a d) (/.f64 (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (pow.f64 d 5))) (/.f64 (fma.f64 (.f64 (neg.f64 c) c) (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (fma.f64 a 0 (.f64 a (.f64 (.f64 c c) 0)))) (pow.f64 d 7))) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (-.f64 (/.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 (neg.f64 (pow.f64 c 4))) (pow.f64 d 5)))
(/.f64 a d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (/.f64 a d))
(-.f64 (/.f64 a d) (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))))
(-.f64 (/.f64 a d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a))
(+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d)))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (/.f64 a d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) 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 (.f64 c c) (pow.f64 d 3)))))
(+.f64 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 c 6) a) (pow.f64 d 7))) (/.f64 a d))))
(+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) a)) (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) a)) (/.f64 a d))))
(+.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a) (-.f64 (-.f64 (/.f64 a d) (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) a))) (/.f64 a (/.f64 (pow.f64 d 3) (.f64 c c)))))
(+.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) a) (-.f64 (/.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 (*.f64 a d) c) c)
(/.f64 a (*.f64 (/.f64 c d) c))
(+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4))))
(+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))))
(-.f64 (/.f64 (/.f64 (.f64 a d) 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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 a (pow.f64 d 5))) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 a d))) (pow.f64 c 6))) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 a (pow.f64 d 5)) (.f64 (.f64 a d) (.f64 (pow.f64 d 4) 0))) (pow.f64 c 6)) (+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))))
(-.f64 (-.f64 (/.f64 (/.f64 (.f64 a d) c) c) (.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3))) (/.f64 (-.f64 (.f64 a (.f64 d 0)) (*.f64 a (pow.f64 d 5))) (pow.f64 c 6)))
(-.f64 (.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (.f64 c c)))) (/.f64 (.f64 a (neg.f64 (pow.f64 d 5))) (pow.f64 c 6)))
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(fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 c 4) b) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (fma.f64 1/8 (.f64 (pow.f64 c 6) b) (.f64 (.f64 -1/2 (.f64 c c)) (.f64 (*.f64 (pow.f64 c 4) b) -3/8))) (pow.f64 d 7)) (/.f64 b d))))
(-.f64 (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 d 3) (.f64 c c))) (-.f64 (/.f64 b d) (/.f64 (fma.f64 1/8 (.f64 (pow.f64 c 6) b) (.f64 (.f64 (pow.f64 c 4) (.f64 b -3/8)) (.f64 (.f64 c c) -1/2))) (pow.f64 d 7)))) (/.f64 (.f64 (pow.f64 c 4) b) (/.f64 (pow.f64 d 5) -3/8)))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (.f64 c (.f64 c b)) (pow.f64 d 3)) (/.f64 b d)) (.f64 (.f64 (pow.f64 c 4) (/.f64 b (pow.f64 d 5))) 3/8)) (/.f64 (fma.f64 1/8 (.f64 (pow.f64 c 6) b) (.f64 (.f64 c c) (.f64 (.f64 (pow.f64 c 4) (.f64 b -3/8)) -1/2))) (pow.f64 d 7)))
(*.f64 -1 (/.f64 b d))
(neg.f64 (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(fma.f64 -1 (/.f64 b d) (.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b))))
(-.f64 (.f64 1/2 (/.f64 b (/.f64 (pow.f64 d 3) (.f64 c c)))) (/.f64 b d))
(fma.f64 1/2 (/.f64 (.f64 c (.f64 c b)) (pow.f64 d 3)) (neg.f64 (/.f64 b d)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))))
(fma.f64 -1/4 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)) (fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (.f64 -1/8 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b))))))
(+.f64 (-.f64 (.f64 1/2 (/.f64 b (/.f64 (pow.f64 d 3) (.f64 c c)))) (/.f64 b d)) (.f64 (pow.f64 c 4) (/.f64 (.f64 b -3/8) (pow.f64 d 5))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c (.f64 c b)) (pow.f64 d 3)) (neg.f64 (/.f64 b d))) (.f64 (pow.f64 c 4) (/.f64 (.f64 b -3/8) (pow.f64 d 5))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b)))) (pow.f64 d 7))) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 6) b) (pow.f64 d 7))))))))
(fma.f64 -1/4 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)) (fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1/8 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)) (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 7) (.f64 (.f64 (pow.f64 c 4) b) -3/8))) (*.f64 1/8 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) b))))))))
(+.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 b (/.f64 (pow.f64 d 3) (.f64 c c)))) (/.f64 b d)) (.f64 (pow.f64 c 4) (/.f64 (.f64 b -3/8) (pow.f64 d 5)))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 7)) (.f64 (pow.f64 c 4) (.f64 b -3/8))) (.f64 (pow.f64 c 6) (.f64 1/8 (/.f64 b (pow.f64 d 7))))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (.f64 c (.f64 c b)) (pow.f64 d 3)) (neg.f64 (/.f64 b d))) (.f64 (pow.f64 c 4) (/.f64 (.f64 b -3/8) (pow.f64 d 5)))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 7)) (.f64 (pow.f64 c 4) (.f64 b -3/8))) (.f64 (pow.f64 c 6) (.f64 1/8 (/.f64 b (pow.f64 d 7))))))

localize6.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series8.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

680×	`associate-*l/_binary64`
641×	`fma-neg_binary64`
467×	`associate-/l/_binary64`
453×	`associate-*r/_binary64`
423×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	927
1	145	876
2	475	819
3	2519	795
4	7835	795

Stop Event

1×	node limit

Counts

87 → 68

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 c d)
✓	0.4b	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
	0.9b	(-.f64 (.f64 b c) (.f64 a d))
✓	27.2b	(.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (-.f64 (.f64 b c) (*.f64 a d)))

Compiler

Compiled 53 to 21 computations (60.4% saved)

series60.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
42.0ms	c	@	0	(.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (-.f64 (.f64 b c) (*.f64 a d)))
1.0ms	d	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	c	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	c	@	0	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	d	@	0	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary64`
470×	`fma-def_binary64`
369×	`pow2_binary64`
256×	`pow1/3_binary64`
254×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	307	30
2	3887	30

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary64`
512×	`associate-/l*_binary64`
457×	`associate-r_binary64`
435×	`associate-l_binary64`
406×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	2651
1	548	2322
2	2010	2233

Stop Event

1×	node limit

Counts

249 → 224

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d))
✓	0.2b	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
	0.9b	(-.f64 (.f64 b c) (.f64 a d))
✓	9.5b	(sqrt.f64 (-.f64 (.f64 b c) (.f64 a d)))

Compiler

Compiled 59 to 13 computations (78% saved)

series83.0ms (0.4%)

Counts

3 → 48

Calls

36 calls:

Time	Variable		Point	Expression
13.0ms	d	@	-inf	(/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d))
10.0ms	a	@	0	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
5.0ms	b	@	0	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
3.0ms	d	@	inf	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
3.0ms	c	@	0	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log-prod_binary64`
445×	`fma-def_binary64`
364×	`pow2_binary64`
251×	`pow1/3_binary64`
250×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	290	49
2	3765	49

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d)) 2)
(/.f64 (sqrt.f64 (-.f64 (.f64 b c) (.f64 a d))) (hypot.f64 c d))

Outputs

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

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

simplify185.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

906×	`associate-/l*_binary64`
397×	`associate-r_binary64`
378×	`distribute-rgt-in_binary64`
375×	`distribute-lft-in_binary64`
365×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	3048
1	987	2804
2	4459	2785

Stop Event

1×	node limit

Counts

158 → 180

Calls

Call 1

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

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

eval1.4s (6.5%)

Compiler: Compiled 52860 to 21508 computations (59.3% saved)

prune651.0ms (3.1%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1458	20	1478
Fresh	8	3	11
Picked	1	0	1
Done	2	2	4
Total	1469	25	1494

Error

0.0b

Counts

1494 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	53.4b	(.f64 b (/.f64 c (.f64 d d)))
▶	32.6b	(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
▶	38.0b	(/.f64 (neg.f64 a) d)
✓	39.5b	(/.f64 b c)
	33.2b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	49.6b	(.f64 (sqrt.f64 (.f64 c b)) (.f64 (sqrt.f64 (.f64 c b)) (pow.f64 (hypot.f64 c d) -2)))
	17.1b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 1 (hypot.f64 d c)))) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
	28.4b	(-.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) c) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) a))
	52.4b	(/.f64 (.f64 c b) (.f64 d d))
	36.1b	(-.f64 (.f64 (/.f64 c (.f64 d d)) (+.f64 b (*.f64 c (/.f64 a d)))) (/.f64 a d))
	35.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c b) (hypot.f64 c d)))
	18.9b	(/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d))
▶	40.0b	(.f64 (/.f64 (neg.f64 a) (fma.f64 c c (.f64 d d))) d)
✓	40.6b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
	34.0b	(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.f64 a d))
	27.9b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
	41.0b	(.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (.f64 (/.f64 d c) d) -1/2) c) 2)) (-.f64 (.f64 b c) (*.f64 a d)))
	50.3b	(/.f64 (.f64 c b) (.f64 c c))
	42.1b	(.f64 c (.f64 b (pow.f64 (hypot.f64 c d) -2)))
	19.1b	(fma.f64 (cbrt.f64 (pow.f64 (/.f64 c (hypot.f64 d c)) 3)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (pow.f64 (hypot.f64 c d) 2))))
▶	2.5b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 a (hypot.f64 d c)))))
	46.5b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 c b)) (hypot.f64 c d)) 2)
	47.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
▶	27.8b	(/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (-.f64 (.f64 c b) (.f64 d a))))
	34.6b	(-.f64 (/.f64 b c) (/.f64 a (*.f64 (/.f64 c d) c)))

Compiler

Compiled 834 to 496 computations (40.5% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 d (hypot.f64 d c))
	0.0b	(/.f64 c (hypot.f64 c d))
✓	1.3b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 a (hypot.f64 d c)))
✓	1.4b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 a (hypot.f64 d c)))))

Compiler

Compiled 80 to 13 computations (83.8% saved)

series30.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite505.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`prod-diff_binary64`
393×	`egg-rr`
270×	`log-div_binary64`
253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	312	48
2	4780	48

Stop Event

1×	node limit

Counts

3 → 491

Calls

Call 1

Inputs

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

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

(/.f64 d (hypot.f64 d c))

Outputs

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

simplify223.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-/l*_binary64`
567×	`associate-/r*_binary64`
284×	`distribute-rgt-in_binary64`
276×	`distribute-lft-in_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	3312
1	691	2916
2	2792	2703

Stop Event

1×	node limit

Counts

599 → 572

Calls

Call 1

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

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

localize9.0ms (0%)

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

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
✓	4.3b	(*.f64 (/.f64 c d) (/.f64 b d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series23.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
321×	`pow2_binary64`
314×	`fma-def_binary64`
248×	`log-div_binary64`
230×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	229	23
2	3627	23

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

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

Outputs

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

simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

789×	`times-frac_binary64`
784×	`distribute-neg-frac_binary64`
602×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`
429×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	1068
1	27	1032
2	53	1032
3	115	1032
4	321	1032
5	1174	1032
6	5223	1032

Stop Event

1×	node limit

Counts

288 → 210

Calls

Call 1

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

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

localize104.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 c c (*.f64 d d))
✓	7.6b	(/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d)))
✓	10.4b	(.f64 (/.f64 (neg.f64 a) (fma.f64 c c (.f64 d d))) d)

Compiler

Compiled 38 to 9 computations (76.3% saved)

series26.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
802×	`add-log-exp_binary64`
801×	`log1p-expm1-u_binary64`
801×	`expm1-log1p-u_binary64`
782×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	190	30
2	2634	30

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

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

Outputs

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

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

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

simplify241.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

620×	`sub-neg_binary64`
554×	`times-frac_binary64`
347×	`associate-/l*_binary64`
291×	`neg-mul-1_binary64`
278×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	2118
1	241	1956
2	765	1884
3	4124	1842
4	6785	1842

Stop Event

1×	node limit

Counts

175 → 121

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 c d)
✓	0.3b	(/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (-.f64 (.f64 c b) (.f64 d a))))
✓	0.9b	(-.f64 (.f64 c b) (.f64 d a))
✓	27.1b	(/.f64 (pow.f64 (hypot.f64 c d) 2) (-.f64 (.f64 c b) (.f64 d a)))

Compiler

Compiled 59 to 20 computations (66.1% saved)

series52.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
20.0ms	c	@	-inf	(-.f64 (.f64 c b) (.f64 d a))
2.0ms	a	@	inf	(/.f64 (pow.f64 (hypot.f64 c d) 2) (-.f64 (.f64 c b) (.f64 d a)))
2.0ms	b	@	0	(/.f64 (pow.f64 (hypot.f64 c d) 2) (-.f64 (.f64 c b) (.f64 d a)))
2.0ms	b	@	inf	(/.f64 (pow.f64 (hypot.f64 c d) 2) (-.f64 (.f64 c b) (.f64 d a)))
2.0ms	c	@	0	(/.f64 (pow.f64 (hypot.f64 c d) 2) (-.f64 (.f64 c b) (.f64 d a)))

rewrite223.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log-prod_binary64`
479×	`fma-def_binary64`
380×	`pow2_binary64`
262×	`pow1/3_binary64`
261×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	311	48
2	4058	48

Stop Event

1×	node limit

Counts

3 → 311

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 c d) (*.f64 (hypot.f64 c d) (/.f64 1 (fma.f64 c b (*.f64 d (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c 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(*.f64 c b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (-.f64 (pow.f64 (*.f64 c b) 2) (pow.f64 (*.f64 d a) 2))) (fma.f64 c b (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 c b (*.f64 d (neg.f64 a))) (pow.f64 (hypot.f64 c d) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 c b (*.f64 d (neg.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) (pow.f64 (fma.f64 c b (*.f64 d (neg.f64 a))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 c b (*.f64 d (neg.f64 a))) (pow.f64 (hypot.f64 c d) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 c b (*.f64 d (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 4) (pow.f64 (fma.f64 c b (*.f64 d (neg.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 c b (*.f64 d (neg.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) (pow.f64 (fma.f64 c b (*.f64 d (neg.f64 a))) 3)))))) (#(struct:change #<rule 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simplify271.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

478×	`cancel-sign-sub-inv_binary64`
374×	`associate-/r/_binary64`
312×	`distribute-rgt-in_binary64`
305×	`distribute-lft-in_binary64`
305×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	4395
1	798	4022
2	3618	3926

Stop Event

1×	node limit

Counts

455 → 383

Calls

Call 1

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

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

eval1.5s (6.9%)

Compiler: Compiled 53729 to 15779 computations (70.6% saved)

prune436.0ms (2.1%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1395	16	1411
Fresh	11	7	18
Picked	1	0	1
Done	2	4	6
Total	1409	27	1436

Error

Counts

1436 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	53.4b	(.f64 b (/.f64 c (.f64 d d)))
✓	32.6b	(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
✓	38.0b	(/.f64 (neg.f64 a) d)
✓	39.5b	(/.f64 b c)
	43.6b	(*.f64 (/.f64 (/.f64 (neg.f64 a) d) d) d)
	45.2b	(/.f64 1 (+.f64 (+.f64 (/.f64 c b) (.f64 (/.f64 d b) (+.f64 (/.f64 d c) (/.f64 a b)))) (/.f64 (.f64 a a) (.f64 (pow.f64 b 3) (/.f64 c (.f64 d d))))))
	28.4b	(-.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) c) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) a))
	2.6b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 d (sqrt.f64 (hypot.f64 c d)))) (/.f64 a (hypot.f64 d c)))))
	52.4b	(/.f64 (.f64 c b) (.f64 d d))
	40.0b	(.f64 (/.f64 (neg.f64 a) (+.f64 (.f64 d d) (*.f64 c c))) d)
✓	40.6b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
	27.9b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
▶	33.3b	(-.f64 (/.f64 b (*.f64 (/.f64 d c) d)) (/.f64 a d))
▶	39.6b	(/.f64 1 (/.f64 c b))
	32.6b	(-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d))
	50.3b	(/.f64 (.f64 c b) (.f64 c c))
	39.6b	(/.f64 1 (-.f64 (.f64 (.f64 (/.f64 c d) c) (-.f64 (/.f64 -1 a) (/.f64 (.f64 b b) (pow.f64 a 3)))) (+.f64 (/.f64 d a) (.f64 (/.f64 c a) (/.f64 b a)))))
	32.0b	(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
	34.6b	(-.f64 (/.f64 b c) (/.f64 a (*.f64 (/.f64 c d) c)))
	40.6b	(/.f64 1 (/.f64 (fma.f64 d d (.f64 c c)) (.f64 c b)))
▶	2.6b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (/.f64 d (hypot.f64 c d)) (/.f64 (hypot.f64 c d) a))))
▶	53.8b	(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
▶	47.0b	(/.f64 1 (/.f64 (pow.f64 c 2) (-.f64 (.f64 c b) (.f64 d a))))
	47.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
	33.2b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	33.9b	(/.f64 1 (+.f64 (/.f64 c b) (.f64 d (+.f64 (.f64 (+.f64 (/.f64 1 (.f64 c b)) (.f64 (/.f64 a c) (/.f64 a (pow.f64 b 3)))) d) (/.f64 a (*.f64 b b))))))
	38.1b	(/.f64 1 (/.f64 (neg.f64 d) a))

Compiler

Compiled 885 to 529 computations (40.2% saved)

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 d (hypot.f64 c d))
	0.0b	(/.f64 c (hypot.f64 c d))
✓	1.4b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (/.f64 d (hypot.f64 c d)) (/.f64 (hypot.f64 c d) a))))
✓	1.6b	(/.f64 (/.f64 d (hypot.f64 c d)) (/.f64 (hypot.f64 c d) a))

Compiler

Compiled 77 to 12 computations (84.4% saved)

series11.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite310.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`log-prod_binary64`
766×	`prod-diff_binary64`
478×	`egg-rr`
316×	`log-div_binary64`
255×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	291	48
2	4395	46

Stop Event

1×	node limit

Counts

3 → 585

Calls

Call 1

Inputs

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

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

(/.f64 d (hypot.f64 c d))

Outputs

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

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-/l*_binary64`
568×	`associate-/r*_binary64`
285×	`distribute-rgt-in_binary64`
278×	`distribute-lft-in_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	3312
1	691	2916
2	2790	2703

Stop Event

1×	node limit

Counts

693 → 666

Calls

Call 1

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

Outputs
(/.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 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 a d) (.f64 c c)) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))))
(-.f64 (*.f64 (/.f64 d c) (/.f64 a c)) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) a)))
(.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (*.f64 c c))))
(+.f64 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6)) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4)))))
(+.f64 (+.f64 (/.f64 (.f64 a d) (.f64 c c)) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))) (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5))))
(+.f64 (-.f64 (*.f64 (/.f64 d c) (/.f64 a c)) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) a))) (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) a)))
(+.f64 (.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (.f64 c c)))) (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 7)) (pow.f64 c 8))) (+.f64 (/.f64 (.f64 a (pow.f64 d 5)) (pow.f64 c 6)) (+.f64 (/.f64 (.f64 a d) (pow.f64 c 2)) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 3)) (pow.f64 c 4))))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 8) (pow.f64 d 7))) (+.f64 (+.f64 (/.f64 (.f64 a d) (.f64 c c)) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3))))) (/.f64 a (/.f64 (pow.f64 c 6) (pow.f64 d 5)))))
(-.f64 (+.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 a c)) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) a))) (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) a))) (.f64 (/.f64 a (pow.f64 c 8)) (pow.f64 d 7)))
(+.f64 (.f64 (/.f64 a (.f64 c c)) (-.f64 d (/.f64 (pow.f64 d 3) (.f64 c c)))) (-.f64 (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 5)) (*.f64 (/.f64 a (pow.f64 c 8)) (pow.f64 d 7))))
(/.f64 a d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (/.f64 a d))
(-.f64 (/.f64 a d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a))
(-.f64 (/.f64 a d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))) (pow.f64 d 5))) (/.f64 a d)))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (*.f64 a (pow.f64 c 4)))) (pow.f64 d 5)) (/.f64 a d)))
(-.f64 (-.f64 (/.f64 a d) (/.f64 (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (pow.f64 d 5))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a))
(-.f64 (/.f64 a d) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a) (/.f64 (.f64 a (neg.f64 (pow.f64 c 4))) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) a) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 2) a))))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))) (pow.f64 d 5))) (/.f64 a d))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 c c) (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (.f64 a (pow.f64 c 4))))) (fma.f64 (.f64 (pow.f64 c 6) 0) a (neg.f64 (.f64 (.f64 a (.f64 c c)) (.f64 (pow.f64 c 4) 0))))) (pow.f64 d 7)) (fma.f64 -1 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (.f64 a (pow.f64 c 4)))) (pow.f64 d 5)) (/.f64 a d))))
(-.f64 (-.f64 (-.f64 (/.f64 a d) (/.f64 (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (pow.f64 d 5))) (/.f64 (fma.f64 (neg.f64 (.f64 c c)) (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (fma.f64 a 0 (.f64 (.f64 c c) (.f64 a 0)))) (pow.f64 d 7))) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a))
(-.f64 (-.f64 (/.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 (neg.f64 (pow.f64 c 4))) (pow.f64 d 5)))
(/.f64 a d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (/.f64 a d))
(-.f64 (/.f64 a d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) a))
(-.f64 (/.f64 a d) (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) a) (.f64 -1 (.f64 (pow.f64 c 4) a))) (pow.f64 d 5))) (/.f64 a d)))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) 0) a (neg.f64 (*.f64 a (pow.f64 c 4)))) (pow.f64 d 5)) (/.f64 a d)))
(-.f64 (-.f64 (/.f64 a d) (/.f64 (.f64 a (+.f64 0 (neg.f64 (pow.f64 c 4)))) (pow.f64 d 5))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a))
(-.f64 (/.f64 a d) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a) (/.f64 (.f64 a (neg.f64 (pow.f64 c 4))) (pow.f64 d 5))))
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(+.f64 (.f64 -5/16 (/.f64 (pow.f64 d 7) (pow.f64 c 7))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (+.f64 (/.f64 d c) (*.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))))))
(fma.f64 -5/16 (/.f64 (pow.f64 d 7) (pow.f64 c 7)) (fma.f64 3/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (+.f64 (/.f64 d c) (*.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))))))
(fma.f64 -5/16 (/.f64 (pow.f64 d 7) (pow.f64 c 7)) (fma.f64 3/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 d c))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 c c) (*.f64 d d))))
(fma.f64 -1/2 (*.f64 (/.f64 c d) (/.f64 c d)) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 c c) (.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c 4) -3/8) (pow.f64 d 4)))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 c d) (/.f64 c d)) 1) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 4) -3/8)))
(+.f64 1 (fma.f64 -1/2 (.f64 (/.f64 c d) (/.f64 c d)) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 6))) (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 4))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 c c) (.f64 (pow.f64 c 4) -3/8)) (.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 6)) (+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 c c) (.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c 4) -3/8) (pow.f64 d 4))))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 (/.f64 c d) (/.f64 c d)) 1) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 4) -3/8))) (/.f64 (fma.f64 (pow.f64 c 6) 1/8 (.f64 -1/2 (*.f64 (pow.f64 c 6) -3/8))) (pow.f64 d 6)))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 c d) (/.f64 c d)) 1) (-.f64 (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4))) (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 c 6) -3/8) (.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 6))))
-1
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) 1)
(fma.f64 1/2 (/.f64 (.f64 c c) (.f64 d d)) -1)
(fma.f64 (*.f64 (/.f64 c d) (/.f64 c d)) 1/2 -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 c 4)) (.f64 1/8 (pow.f64 c 4))) (pow.f64 d 4)))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c 4) 3/8) (pow.f64 d 4)))) -1)
(fma.f64 (.f64 (/.f64 c d) (/.f64 c d)) 1/2 (fma.f64 -1 (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4))) -1))
(+.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) -3/8) (fma.f64 (.f64 (/.f64 c d) (/.f64 c d)) 1/2 -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (pow.f64 c 4)) (.f64 1/8 (pow.f64 c 4)))))) (pow.f64 d 6))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 c 4)) (.f64 1/8 (pow.f64 c 4))) (pow.f64 d 4))))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (.f64 d d)) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1/8 (pow.f64 c 6) (.f64 -1/2 (.f64 (.f64 c c) (.f64 (pow.f64 c 4) 3/8)))) (pow.f64 d 6)) (/.f64 (.f64 (pow.f64 c 4) 3/8) (pow.f64 d 4))))) -1)
(fma.f64 (.f64 (/.f64 c d) (/.f64 c d)) 1/2 (fma.f64 -1 (+.f64 (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4))) (/.f64 (fma.f64 (pow.f64 c 6) -1/8 (.f64 -1/2 (.f64 (pow.f64 c 6) 3/8))) (pow.f64 d 6))) -1))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 4)) -3/8) (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 c 6) 3/8) (.f64 (pow.f64 c 6) -1/8)) (pow.f64 d 6))) (fma.f64 (.f64 (/.f64 c d) (/.f64 c d)) 1/2 -1))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 c c) (*.f64 d d))))
(fma.f64 -1/2 (*.f64 (/.f64 c d) (/.f64 c d)) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 c c) (.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c 4) -3/8) (pow.f64 d 4)))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 c d) (/.f64 c d)) 1) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 4) -3/8)))
(+.f64 1 (fma.f64 -1/2 (.f64 (/.f64 c d) (/.f64 c d)) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(+.f64 (.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4))))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 c c) (.f64 d d)) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4))))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 c d) (/.f64 c d)) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4)))) (fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 6)) 1))
(/.f64 d c)
(+.f64 (/.f64 d c) (*.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))))
(fma.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 d c))
(+.f64 (/.f64 d c) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 5)) (.f64 -1/4 (pow.f64 d 5))) (pow.f64 c 5)))))
(fma.f64 3/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (+.f64 (/.f64 d c) (*.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)))))
(fma.f64 3/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 d c)))
(+.f64 (/.f64 d c) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 d 7)) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 5)) (.f64 -1/4 (pow.f64 d 5))) (pow.f64 d 2)))) (pow.f64 c 7))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 5)) (.f64 -1/4 (pow.f64 d 5))) (pow.f64 c 5))))))
(+.f64 (/.f64 d c) (fma.f64 -1 (/.f64 (fma.f64 1/8 (pow.f64 d 7) (.f64 -1/2 (.f64 (.f64 d d) (.f64 (pow.f64 d 5) -3/8)))) (pow.f64 c 7)) (fma.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (neg.f64 (/.f64 (*.f64 (pow.f64 d 5) -3/8) (pow.f64 c 5))))))
(+.f64 (/.f64 d c) (-.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (/.f64 (.f64 (pow.f64 d 5) -3/8) (pow.f64 c 5))) (/.f64 (fma.f64 (pow.f64 d 7) 1/8 (.f64 (.f64 d d) (.f64 -1/2 (.f64 (pow.f64 d 5) -3/8)))) (pow.f64 c 7))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (/.f64 d c))) (/.f64 (fma.f64 (pow.f64 d 7) 1/8 (.f64 -1/2 (.f64 (pow.f64 d 5) (.f64 -3/8 (.f64 d d))))) (pow.f64 c 7)))
(*.f64 -1 (/.f64 d c))
(neg.f64 (/.f64 d c))
(/.f64 (neg.f64 d) c)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (.f64 -1 (/.f64 d c)))
(fma.f64 1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (neg.f64 (/.f64 d c)))
(-.f64 (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) 1/2) (/.f64 d c))
(-.f64 (/.f64 1/2 (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 d c))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (.f64 -1 (/.f64 d c)))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (fma.f64 -1/4 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (neg.f64 (/.f64 d c)))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (-.f64 (fma.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) 1/2 (*.f64 -1/4 (/.f64 (pow.f64 d 5) (pow.f64 c 5)))) (/.f64 d c)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 5)) (.f64 -1/4 (pow.f64 d 5))) (pow.f64 d 2)) (pow.f64 c 7))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 7) (pow.f64 c 7))) (*.f64 -1 (/.f64 d c)))))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (fma.f64 -1/4 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 d 5) -3/8) (/.f64 (pow.f64 c 7) (.f64 d d))) (fma.f64 1/8 (/.f64 (pow.f64 d 7) (pow.f64 c 7)) (neg.f64 (/.f64 d c)))))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) 1/2 (fma.f64 -1/4 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 d 5) -3/8) (pow.f64 c 7)) (*.f64 d d)) (fma.f64 1/8 (/.f64 (pow.f64 d 7) (pow.f64 c 7)) (neg.f64 (/.f64 d c)))))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) 1/2 (fma.f64 -1/4 (/.f64 (pow.f64 d 5) (pow.f64 c 5)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 7) -3/8)) (.f64 d d)) (-.f64 (*.f64 (/.f64 1/8 (pow.f64 c 7)) (pow.f64 d 7)) (/.f64 d c))))))

localize33.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 c b))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	4
2	1611	4

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 1 (/.f64 c b))

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

59 → 36

Calls

Call 1

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

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

localize47.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.9b	(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
✓	7.7b	(/.f64 (neg.f64 a) (*.f64 c c))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series11.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
746×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	17
2	2504	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-def_binary64`
878×	`div-sub_binary64`
605×	`times-frac_binary64`
351×	`associate-/l/_binary64`
342×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	648
1	28	648
2	69	648
3	199	648
4	728	648
5	3409	648
6	4495	648
7	5793	648
8	6696	648
9	7605	648

Stop Event

1×	node limit

Counts

121 → 65

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(*.f64 -1 (/.f64 a (pow.f64 c 2)))
(neg.f64 (/.f64 a (*.f64 c c)))
(/.f64 (neg.f64 a) (*.f64 c c))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))
(.f64 -1 (/.f64 (.f64 a d) (pow.f64 c 2)))
(neg.f64 (/.f64 a (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 a) (/.f64 c (/.f64 d c)))
(.f64 (/.f64 a (.f64 c c)) (neg.f64 d))
(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)
(.f64 a (/.f64 (neg.f64 d) (.f64 c c)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 d c) d)
✓	1.8b	(-.f64 (/.f64 b (*.f64 (/.f64 d c) d)) (/.f64 a d))
✓	5.3b	(/.f64 b (*.f64 (/.f64 d c) d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series9.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log-prod_binary64`
349×	`fma-def_binary64`
340×	`pow2_binary64`
289×	`log-div_binary64`
238×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	233	30
2	3831	30

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

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

Outputs

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

simplify170.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

813×	`distribute-neg-frac_binary64`
762×	`times-frac_binary64`
623×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`
380×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	1236
1	28	1200
2	54	1200
3	118	1200
4	326	1200
5	1170	1200
6	5125	1200

Stop Event

1×	node limit

Counts

346 → 246

Calls

Call 1

Inputs
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
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Outputs
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(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (pow.f64 c 2) (-.f64 (.f64 c b) (.f64 d a))))
	0.9b	(-.f64 (.f64 c b) (.f64 d a))
✓	20.5b	(/.f64 (pow.f64 c 2) (-.f64 (.f64 c b) (.f64 d a)))

Compiler

Compiled 50 to 19 computations (62% saved)

series126.0ms (0.6%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
109.0ms	d	@	0	(/.f64 (pow.f64 c 2) (-.f64 (.f64 c b) (.f64 d a)))
4.0ms	d	@	inf	(/.f64 (pow.f64 c 2) (-.f64 (.f64 c b) (.f64 d a)))
1.0ms	c	@	0	(/.f64 (pow.f64 c 2) (-.f64 (.f64 c b) (.f64 d a)))
1.0ms	c	@	inf	(/.f64 (pow.f64 c 2) (-.f64 (.f64 c b) (.f64 d a)))
1.0ms	d	@	-inf	(/.f64 (pow.f64 c 2) (-.f64 (.f64 c b) (.f64 d a)))

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`log-prod_binary64`
461×	`fma-def_binary64`
354×	`pow2_binary64`
244×	`pow1/3_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	290	32
2	3812	32

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (pow.f64 c -2)) (*.f64 (fma.f64 d (neg.f64 a) (*.f64 d a)) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (pow.f64 c -2)) (*.f64 (pow.f64 c -2) (fma.f64 d (neg.f64 a) (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c b) (pow.f64 c -2)) (*.f64 (neg.f64 (*.f64 d a)) (pow.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 c -2) (*.f64 c b)) (*.f64 (pow.f64 c -2) (neg.f64 (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 c -2)) (-.f64 (*.f64 c b) (*.f64 d a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 c -2)) (-.f64 (*.f64 c b) (*.f64 d a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 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simplify337.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

793×	`associate-/l*_binary64`
642×	`distribute-neg-frac_binary64`
536×	`associate-/r*_binary64`
330×	`distribute-rgt-neg-in_binary64`
322×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	2550
1	205	2418
2	931	2346
3	6148	2346

Stop Event

1×	node limit

Counts

233 → 157

Calls

Call 1

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

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

eval1.9s (9.1%)

Compiler: Compiled 56198 to 17620 computations (68.6% saved)

prune841.0ms (4%)

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1411	10	1421
Fresh	2	16	18
Picked	1	0	1
Done	2	6	8
Total	1416	32	1448

Error

Counts

1448 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	54.5b	(/.f64 (.f64 a d) (.f64 c (neg.f64 c)))
	42.6b	(/.f64 1 (.f64 (/.f64 c 1) (/.f64 c (-.f64 (.f64 c b) (*.f64 d a)))))
	31.9b	(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
	47.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (*.f64 c c))
	50.9b	(/.f64 1 (*.f64 (/.f64 c d) (/.f64 (neg.f64 c) a)))
	53.4b	(.f64 b (/.f64 c (.f64 d d)))
✓	38.0b	(/.f64 (neg.f64 a) d)
✓	39.5b	(/.f64 b c)
	43.6b	(*.f64 (/.f64 (/.f64 (neg.f64 a) d) d) d)
	45.2b	(/.f64 1 (+.f64 (+.f64 (/.f64 c b) (.f64 (/.f64 d b) (+.f64 (/.f64 d c) (/.f64 a b)))) (/.f64 (.f64 a a) (.f64 (pow.f64 b 3) (/.f64 c (.f64 d d))))))
	2.6b	(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 d (sqrt.f64 (hypot.f64 c d)))) (/.f64 a (hypot.f64 d c)))))
	52.4b	(/.f64 (.f64 c b) (.f64 d d))
	40.0b	(.f64 (/.f64 (neg.f64 a) (+.f64 (.f64 d d) (*.f64 c c))) d)
	39.6b	(*.f64 (/.f64 1 c) b)
	33.2b	(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
	51.8b	(.f64 (.f64 (/.f64 -1 c) (/.f64 a c)) d)
	27.9b	(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
✓	40.6b	(/.f64 (.f64 c b) (+.f64 (.f64 c c) (*.f64 d d)))
✓	33.3b	(-.f64 (/.f64 b (*.f64 (/.f64 d c) d)) (/.f64 a d))
✓	39.6b	(/.f64 1 (/.f64 c b))
	39.6b	(/.f64 1 (-.f64 (.f64 (.f64 (/.f64 c d) c) (-.f64 (/.f64 -1 a) (/.f64 (.f64 b b) (pow.f64 a 3)))) (+.f64 (/.f64 d a) (.f64 (/.f64 c a) (/.f64 b a)))))
	32.0b	(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
	34.6b	(-.f64 (/.f64 b c) (/.f64 a (*.f64 (/.f64 c d) c)))
	40.6b	(/.f64 1 (/.f64 (fma.f64 d d (.f64 c c)) (.f64 c b)))
	53.9b	(.f64 (.f64 a (/.f64 1 (*.f64 c (neg.f64 c)))) d)
	46.7b	(-.f64 (+.f64 1 (/.f64 b c)) 1)
	25.6b	(-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) a))
	32.6b	(-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d))
	33.9b	(/.f64 1 (+.f64 (/.f64 c b) (.f64 d (+.f64 (.f64 (+.f64 (/.f64 1 (.f64 c b)) (.f64 (/.f64 a c) (/.f64 a (pow.f64 b 3)))) d) (/.f64 a (*.f64 b b))))))
	57.9b	(/.f64 (*.f64 (/.f64 a c) d) c)
	38.1b	(/.f64 1 (/.f64 (neg.f64 d) a))
✓	53.8b	(.f64 (/.f64 (neg.f64 a) (.f64 c c)) d)

Compiler

Compiled 511 to 320 computations (37.4% saved)

regimes328.0ms (1.6%)

Counts

63 → 1

Calls

Call 1

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

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

Calls

5 calls:

131.0ms	c
59.0ms	d
38.0ms	a
38.0ms	b
25.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
2.5b	1	`a`
2.5b	1	`b`
2.5b	1	`c`
2.5b	1	`d`
2.5b	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 916 to 308 computations (66.4% saved)

regimes183.0ms (0.9%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

5 calls:

38.0ms	a
37.0ms	d
31.0ms	b
30.0ms	c
22.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
2.6b	1	`a`
2.6b	1	`b`
2.6b	1	`c`
2.6b	1	`d`
2.6b	1	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 809 to 273 computations (66.3% saved)

regimes989.0ms (4.7%)

Counts

58 → 7

Calls

Call 1

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

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

Calls

5 calls:

305.0ms	c
223.0ms	a
220.0ms	d
176.0ms	b
44.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
11.9b	4	`a`
12.7b	3	`b`
8.1b	7	`c`
8.9b	5	`d`
9.7b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 786 to 268 computations (65.9% saved)

bsearch222.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
40.0ms	4.109939024723472e+200	5.964938817926792e+201
41.0ms	1.0718376395457786e+195	1.7778747129864383e+198
40.0ms	7.524065297619922e+168	5.8384762611111294e+171
40.0ms	8.358364608016383e-5	0.0005206789828305474
19.0ms	-2.477094025989784e-141	-1.3234318961895271e-154
41.0ms	-9.328439050051052e+150	-3.072014205959873e+148

Compiler

Compiled 66 to 38 computations (42.4% saved)

regimes1.2s (5.9%)

Counts

57 → 7

Calls

Call 1

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

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

Calls

5 calls:

392.0ms	a
288.0ms	d
286.0ms	b
168.0ms	c
69.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
11.7b	8	`a`
12.6b	6	`b`
9.4b	4	`c`
9.2b	7	`d`
9.7b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 765 to 263 computations (65.6% saved)

bsearch245.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
43.0ms	4.957626207730631e+104	3.8408984485271342e+115
43.0ms	6.145696025654044e+93	4.926888738813212e+96
69.0ms	7.456499424371905e+28	2.8696669451702025e+31
22.0ms	2.639518649717327e-191	3.884462532445362e-182
23.0ms	-8.482475006964622e-194	-2.487721914868016e-197
43.0ms	-3.0435373335258623e+50	-5.20761401359989e+47

Compiler

Compiled 98 to 59 computations (39.8% saved)

regimes939.0ms (4.5%)

Counts

50 → 7

Calls

Call 1

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

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

Calls

5 calls:

424.0ms	a
185.0ms	b
172.0ms	d
93.0ms	c
36.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
11.7b	8	`a`
12.6b	6	`b`
9.4b	4	`c`
9.3b	7	`d`
9.7b	2	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 640 to 229 computations (64.2% saved)

bsearch170.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
22.0ms	9.637483085321208e+97	4.957626207730631e+104
26.0ms	6.145696025654044e+93	4.926888738813212e+96
40.0ms	7.456499424371905e+28	2.8696669451702025e+31
21.0ms	2.639518649717327e-191	3.884462532445362e-182
21.0ms	-8.482475006964622e-194	-2.487721914868016e-197
39.0ms	-3.0435373335258623e+50	-5.20761401359989e+47

Compiler

Compiled 98 to 59 computations (39.8% saved)

regimes676.0ms (3.2%)

Counts

44 → 5

Calls

Call 1

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

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

Calls

5 calls:

234.0ms	b
156.0ms	a
112.0ms	d
102.0ms	c
58.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.3b	8	`a`
15.4b	12	`b`
10.6b	5	`c`
12.2b	6	`d`
12.3b	5	`(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 539 to 204 computations (62.2% saved)

bsearch77.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	6.8607979028319614e+128	5.329356561114015e+129
22.0ms	8.358364608016383e-5	0.0005206789828305474
10.0ms	-2.477094025989784e-141	-1.3234318961895271e-154
22.0ms	-4.149810530834531e+114	-2.9067314605852216e+114

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes459.0ms (2.2%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

4 calls:

210.0ms	a
154.0ms	b
49.0ms	d
38.0ms	c

Results

Error	Segments	Branch
22.7b	9	`a`
20.3b	7	`b`
14.1b	3	`c`
16.8b	3	`d`

Compiler

Compiled 294 to 112 computations (61.9% saved)

bsearch81.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	8.358364608016383e-5	0.0005206789828305474
42.0ms	-3.632484411105255e+39	-6.693112880296861e+36

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes567.0ms (2.7%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

243.0ms	a
157.0ms	b
85.0ms	c
73.0ms	d

Results

Error	Segments	Branch
22.5b	14	`a`
23.6b	8	`b`
18.5b	3	`c`
20.4b	3	`d`

Compiler

Compiled 179 to 83 computations (53.6% saved)

bsearch44.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	6.010144942631681e+113	8.26782190006053e+115
22.0ms	-4.275832477588358e+115	-4.149810530834531e+114

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes167.0ms (0.8%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	a
45.0ms	b
33.0ms	d
27.0ms	c

Results

Error	Segments	Branch
29.1b	9	`a`
27.8b	7	`b`
22.4b	4	`c`
23.5b	5	`d`

Compiler

Compiled 110 to 55 computations (50% saved)

bsearch69.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
22.0ms	6.010144942631681e+113	8.26782190006053e+115
23.0ms	2.191442538112069e+47	2.145545389411381e+48
24.0ms	-5.52445799675944e-33	-4.8976582978920704e-33

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes163.0ms (0.8%)

Accuracy

Total -40.0b remaining (-169.8%)

Threshold costs -40.0b (-169.8%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

4 calls:

57.0ms	a
44.0ms	b
33.0ms	d
27.0ms	c

Results

Error	Segments	Branch
29.1b	9	`a`
27.8b	7	`b`
23.6b	3	`c`
23.5b	5	`d`

Compiler

Compiled 102 to 53 computations (48% saved)

bsearch91.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	5.271506439197176e+68	1.2817185418413558e+69
23.0ms	7.456499424371905e+28	2.8696669451702025e+31
22.0ms	4.484683706448499e-9	0.010379008345704656
23.0ms	-9.834115852018582e+65	-4.560959158017174e+60

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
41×	`+-commutative_binary64`
40×	`sub-neg_binary64`
30×	`neg-sub0_binary64`
30×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	904
1	246	904
2	331	904
3	394	904
4	429	904
5	442	904
6	447	904
7	448	904

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 a (hypot.f64 d c)))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (/.f64 d (hypot.f64 c d)) (/.f64 (hypot.f64 c d) a))))
(if (<=.f64 c -9328439050051051530273249264352766534341654193147142314898346288949108598796549545984747245332698474482655879133053480844095307721178709043577125601280) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (-.f64 (.f64 (/.f64 c (fma.f64 d d (.f64 c c))) b) (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) a)) (if (<=.f64 c 6167384511953195/73786976294838206464) (/.f64 (-.f64 (.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 7524065297619921803014090235591057189022451389058695090304336185311632281729765302408289817867620212669671594548529240889520626873264370872888789580421792041161271017472) (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (.f64 a d) (pow.f64 (hypot.f64 c d) 2)))) (if (<=.f64 c 1071837639545778628035005021246811417708933097208012781691724819194624501227049233971494656290564178878507824792641534125314187530617633810737474598311124217618264599417210105475386196657635852288) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c 410993902472347186991342010961821421146444410168523080083850939406419032494174380783032555947893644377419172577559268694587723457298668962253555219315756263740714659873052225554753064634744132826300416) (/.f64 1 (-.f64 (.f64 (.f64 (/.f64 c d) c) (-.f64 (/.f64 -1 a) (/.f64 (.f64 b b) (pow.f64 a 3)))) (+.f64 (/.f64 d a) (.f64 (/.f64 c a) (/.f64 b a))))) (-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))))))))
(if (<=.f64 d -304353733352586225968372828425148078137218066022400) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -2630067950774187/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688) (/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 4013165208090495/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408) (-.f64 (/.f64 b c) (/.f64 a (.f64 (/.f64 c d) c))) (if (<=.f64 d 74564994243719049869491437568) (/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 6145696025654044456189833164260811485674656292383874369055477487769821323771170351781731368960) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d))) (if (<=.f64 d 495762620773063111004245173667455091691735799999403120960268135790132435587441171061968443054275153625088) (-.f64 (.f64 (/.f64 b (fma.f64 c c (.f64 d d))) c) (.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a)) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d))))))))
(if (<=.f64 d -304353733352586225968372828425148078137218066022400) (/.f64 (-.f64 (.f64 c (/.f64 b d)) a) d) (if (<=.f64 d -2630067950774187/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688) (/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 4013165208090495/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408) (-.f64 (/.f64 b c) (/.f64 a (.f64 (/.f64 c d) c))) (if (<=.f64 d 74564994243719049869491437568) (/.f64 (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 6145696025654044456189833164260811485674656292383874369055477487769821323771170351781731368960) (.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d))) (if (<=.f64 d 96374830853212076065992827302253125677035717956385689818746800456589493365843714280691559462600704) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 c b) (hypot.f64 c d))) (-.f64 (/.f64 (/.f64 c d) (/.f64 d b)) (/.f64 a d))))))))
(if (<=.f64 c -4149810530834530816980649900730178890740718694732324095572461321346143656688880752348176326337249311789056023068672) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 6167384511953195/73786976294838206464) (/.f64 (-.f64 (.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 686079790283196140984141662323324527798864305543830107306858737620015215069508230436716017633740226495178970744759336340643905536) (/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))))))
(if (<=.f64 c -3632484411105255199235523738731695570944) (-.f64 (/.f64 b c) (.f64 (/.f64 d c) (/.f64 a c))) (if (<=.f64 c 6167384511953195/73786976294838206464) (/.f64 (-.f64 (.f64 b (/.f64 c d)) a) d) (-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))))
(if (<=.f64 c -42758324775883581583894099960879121774049254975505870539367939501781217300808369478420529815134963246276529277108224) (/.f64 b c) (if (<=.f64 c 601014494263168071287530143243103648136425609419693885655190743948125304954091097366957839548503677685736023261184) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (/.f64 b c)))
(if (<=.f64 c -4037002203814861/730750818665451459101842416358141509827966271488) (/.f64 b c) (if (<=.f64 c 219144253811206898153457211824939252427092131840) (/.f64 (neg.f64 a) d) (if (<=.f64 c 601014494263168071287530143243103648136425609419693885655190743948125304954091097366957839548503677685736023261184) (.f64 (/.f64 (neg.f64 a) (.f64 c c)) d) (/.f64 b c))))
(if (<=.f64 d -983411585201858166362958846464148307154229829227141368648046739456) (/.f64 (neg.f64 a) d) (if (<=.f64 d 5421649925530625/1208925819614629174706176) (/.f64 b c) (if (<=.f64 d 74564994243719049869491437568) (/.f64 (neg.f64 a) d) (if (<=.f64 d 527150643919717601243852764900748288290204134315871906173507004792832) (/.f64 b c) (/.f64 (neg.f64 a) d)))))
(/.f64 b c)

Outputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 a (hypot.f64 d c)))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (*.f64 (neg.f64 (/.f64 d (hypot.f64 d c))) (/.f64 a (hypot.f64 d c))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 (neg.f64 a) (hypot.f64 d c))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 (/.f64 d (hypot.f64 c d)) (/.f64 (hypot.f64 c d) a))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (neg.f64 (/.f64 d (hypot.f64 c d))) (/.f64 (hypot.f64 c d) a)))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (/.f64 (neg.f64 d) (hypot.f64 c d)) (/.f64 (hypot.f64 c d) a)))
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(if (<=.f64 d -983411585201858166362958846464148307154229829227141368648046739456) (/.f64 (neg.f64 a) d) (if (<=.f64 d 5421649925530625/1208925819614629174706176) (/.f64 b c) (if (<=.f64 d 74564994243719049869491437568) (/.f64 (neg.f64 a) d) (if (<=.f64 d 527150643919717601243852764900748288290204134315871906173507004792832) (/.f64 b c) (/.f64 (neg.f64 a) d)))))
(/.f64 b c)

Compiler

Compiled 661 to 297 computations (55.1% saved)

soundness0.0ms (0%)

end129.0ms (0.6%)

Compiler: Compiled 621 to 187 computations (69.9% saved)