Details

analyze458.0ms (2.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	93.6%	0.1%	0%	6.2%	0%	7
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	8
11.1%	10.1%	81.1%	0.1%	0%	8.6%	0%	9
18%	15.6%	71%	0.1%	0%	13.3%	0%	10
25.9%	22%	63%	0.1%	0.8%	14%	0%	11
35.5%	29.1%	52.9%	0.1%	1.6%	16.4%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.6s (15.6%)

Results

981.0ms	5572×	body	256	valid
655.0ms	1172×	body	2048	valid
316.0ms	736×	body	1024	valid
291.0ms	405×	body	4096	valid
166.0ms	1006×	body	256	invalid
114.0ms	371×	body	512	valid
99.0ms	573×	body	256	infinite

Bogosity

preprocess93.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

801×	`fma-def_binary64`
678×	`div-sub_binary64`
478×	`associate-/r*_binary64`
440×	`distribute-frac-neg_binary64`
353×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	99	88
2	220	88
3	446	88
4	756	88
5	1249	88
6	2223	88
7	4448	88
8	7165	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a))

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify142.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-def_binary64`
771×	`fma-neg_binary64`
681×	`div-sub_binary64`
619×	`times-frac_binary64`
478×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	72	22
3	163	22
4	266	22
5	435	22
6	747	22
7	1334	22
8	2704	22
9	4100	22
10	5724	22
11	6429	22
12	7085	22
13	7173	22
14	7735	22
15	7877	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

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

eval1.0ms (0%)

Compiler: Compiled 35 to 22 computations (37.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

32.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
▶	32.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.6b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	23.8b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 60 to 30 computations (50% saved)

series28.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
2.0ms	a	@	-inf	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
1.0ms	a	@	0	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`prod-diff_binary64`
636×	`log-prod_binary64`
366×	`fma-def_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	280	62
2	3646	59

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
(fma.f64 a (.f64 c -4) (.f64 b b))
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

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

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
642×	`associate-/l*_binary64`
579×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202

Stop Event

1×	node limit

Counts

315 → 300

Calls

Call 1

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

Outputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
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b
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b
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(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 a 4) (pow.f64 c 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (.f64 4 (.f64 (pow.f64 a 4) (pow.f64 c 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (-.f64 (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 b a)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b a))))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
✓	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 73 to 38 computations (47.9% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	a	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
0.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

rewrite125.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log-prod_binary64`
734×	`fma-def_binary64`
373×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	342	62
2	4924	59

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

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

simplify714.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
643×	`associate-/l*_binary64`
575×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202

Stop Event

1×	node limit

Counts

429 → 413

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (*.f64 c c))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))) (.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (.f64 (/.f64 (.f64 2 c) b) a) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b))))
(fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c)))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (*.f64 c c))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))) (.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (*.f64 c c))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 a a) (pow.f64 b 3)) (.f64 c c))) (.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 -4 c) a))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
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(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -2 (.f64 c c)) (.f64 a a)) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 (/.f64 -2 (pow.f64 b 5)) (.f64 a (.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (neg.f64 (/.f64 b a))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))
(-.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (.f64 (/.f64 -2 (pow.f64 b 5)) (.f64 a (.f64 a (pow.f64 c 3)))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (/.f64 (.f64 -1/4 (.f64 (pow.f64 a 3) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))))) b)) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))))
(-.f64 (fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 (/.f64 -1/4 b) (.f64 (pow.f64 a 3) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (.f64 (/.f64 -2 (pow.f64 b 5)) (.f64 a (.f64 a (pow.f64 c 3)))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2))) (.f64 a b)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (-.f64 (.f64 (/.f64 -2 (pow.f64 b 5)) (.f64 a (.f64 a (pow.f64 c 3)))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))

eval340.0ms (2%)

Compiler: Compiled 19659 to 11992 computations (39% saved)

prune134.0ms (0.8%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	688	25	713
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	690	25	715

Error

3.7b

Counts

715 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2)))
	42.6b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) (*.f64 2 a))
	43.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	45.2b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a))
	57.2b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 a -2))))))
	43.7b	(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a))
	53.9b	(*.f64 (-.f64 b b) (/.f64 1/2 a))
	33.2b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
	45.4b	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
	45.0b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.3b	(/.f64 (neg.f64 c) b)
▶	35.4b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
	31.8b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b))) (/.f64 1/2 a))
	46.1b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	44.8b	(.f64 (.f64 b -2) (/.f64 1/2 a))
	45.7b	(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))
	54.0b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
▶	44.7b	(neg.f64 (/.f64 b a))
	32.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
	32.3b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
▶	32.1b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
	43.2b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
▶	45.0b	(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
	45.0b	(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))

Compiler

Compiled 924 to 644 computations (30.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2))
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2)))
✓	0.6b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) b)
✓	12.0b	(sqrt.f64 (.f64 (.f64 a c) -4))

Compiler

Compiled 83 to 46 computations (44.6% saved)

series85.0ms (0.5%)

Counts

4 → 36

Calls

33 calls:

Time	Variable		Point	Expression
11.0ms	c	@	inf	(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2))
7.0ms	c	@	-inf	(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2))
6.0ms	a	@	inf	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2)))
5.0ms	c	@	inf	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2)))
5.0ms	b	@	inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) b)

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`log-prod_binary64`
579×	`prod-diff_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`
244×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	323	66
2	4221	66

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 a c) -4))
(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) b)
(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2)))
(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2))

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

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

825×	`associate-/r*_binary64`
635×	`unswap-sqr_binary64`
444×	`associate-*l/_binary64`
393×	`associate-*r/_binary64`
257×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	1791
1	688	1412
2	2828	1348
3	7352	1341

Stop Event

1×	node limit

Counts

251 → 286

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))))
(*.f64 -2 b)
(+.f64 (.f64 -2 b) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (sqrt.f64 -4) (.f64 b b)))) b))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b 1/2) (/.f64 (sqrt.f64 -4) b))) b))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b)))) b)))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b))) b)))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (neg.f64 b))))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -4)))
(/.f64 1/2 (/.f64 b (.f64 a (.f64 c -4))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 1/2 (.f64 (.f64 (/.f64 -4 b) c) a) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) (/.f64 1/2 (/.f64 b (.f64 a (.f64 c -4))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (pow.f64 b 7)) (.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (.f64 -1/2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -2) 2)) (pow.f64 b 7))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 -4 b) c) a) (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) (.f64 (/.f64 -1/2 (pow.f64 b 7)) (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -2 b) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 -2 b (.f64 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2))
(fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4)))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 (.f64 1/8 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (pow.f64 b 3))))
(fma.f64 b -2 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (/.f64 1/8 (/.f64 (pow.f64 b 3) (.f64 (.f64 c c) (.f64 a (.f64 a 16)))))))
(fma.f64 b -2 (fma.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (.f64 a 16)))) 1/8 (.f64 (/.f64 (.f64 -1/2 c) b) (.f64 a -4))))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16))))
(fma.f64 b -2 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16))))
(fma.f64 b -2 (fma.f64 (.f64 (.f64 (/.f64 -4 b) c) a) -1/2 (fma.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (.f64 a 16)))) 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 3) -1/16) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)))))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 -4) (.f64 1/2 (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 -1/2 (/.f64 b a)))
(fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/16 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))))))))
(fma.f64 1/4 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/16 (.f64 (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))))))))
(fma.f64 1/4 (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (.f64 (pow.f64 b 4) -1/16) (*.f64 (sqrt.f64 -4) -4))))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (.f64 -1 c) b))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (neg.f64 c) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))))))
(+.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (neg.f64 c) b)) (.f64 (/.f64 1/32 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a (*.f64 a -64)))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (*.f64 a -64)))))))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (pow.f64 b 7))) (+.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (neg.f64 c) b)) (.f64 (/.f64 1/32 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a (.f64 a -64))))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a)))
(fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (-.f64 (/.f64 (.f64 1 c) b) (/.f64 b a)))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 c b)) (/.f64 b a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) -1/32 (/.f64 (neg.f64 b) a)) (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (*.f64 1 c) b)))
(+.f64 (-.f64 (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 c b)) (/.f64 b a)) (.f64 (/.f64 -1/32 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a (*.f64 a -64)))))
(fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (fma.f64 (/.f64 (.f64 -1/32 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a (.f64 a -64)) (-.f64 (/.f64 c b) (/.f64 b a))))
(.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(.f64 2 (+.f64 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (*.f64 b -1/2) c))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 -1/2 (/.f64 b c)) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 (.f64 b b) (.f64 (.f64 (/.f64 -1/4 (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) -1/2)) -2))))
(+.f64 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (.f64 b -1/2) c)) (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1/8 (sqrt.f64 -4))) -2)))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 -2 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4))))) (.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(+.f64 (.f64 -2 (+.f64 (.f64 b (.f64 b (.f64 (/.f64 -1/4 (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) -1/2)))) (.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2)) (/.f64 1/2 (.f64 a (.f64 16 (.f64 c c)))))))) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b c))))
(+.f64 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (.f64 b -1/2) c)) (.f64 -2 (.f64 (.f64 b b) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1/8 (sqrt.f64 -4))) (.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) -1/2) 16) (/.f64 1/32 (.f64 c (.f64 c a)))) b)))))
(.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(*.f64 -1 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b))
(+.f64 (/.f64 (neg.f64 b) c) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 a b)))
(+.f64 (.f64 -1 (/.f64 b c)) (fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 a b)))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c)))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (.f64 (.f64 c c) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8))))))) (pow.f64 b 5))))))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (.f64 a (.f64 16 (.f64 c c)))) (fma.f64 1/4 (.f64 c (.f64 (.f64 a -4) (.f64 (.f64 c (.f64 a a)) -1/2))) (.f64 (.f64 c (.f64 c (pow.f64 a 3))) 1))) (pow.f64 b 5)) (.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (.f64 (/.f64 -1/8 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c c))) (fma.f64 1/4 (.f64 (.f64 c a) (.f64 (.f64 a (.f64 a 16)) (.f64 c 1/8))) (.f64 (pow.f64 a 3) (.f64 c c)))) (pow.f64 b 5)) (/.f64 (neg.f64 b) c)) (fma.f64 -2 (/.f64 (.f64 (.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (.f64 -2 (+.f64 (/.f64 (+.f64 (.f64 (/.f64 -1/8 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c c))) (fma.f64 1/4 (.f64 (.f64 c a) (.f64 (.f64 a (.f64 a 16)) (.f64 c 1/8))) (.f64 (pow.f64 a 3) (.f64 c c)))) (pow.f64 b 5)) (/.f64 (.f64 (.f64 c (.f64 a a)) -1/2) (pow.f64 b 3)))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 a b) (.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))))))
(-.f64 (/.f64 (.f64 (.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b))
(-.f64 (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (pow.f64 b 3)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a)))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 5)) (.f64 (pow.f64 a 3) 16)) (/.f64 (.f64 (.f64 -1 c) (.f64 a a)) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 a a)))) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -4) 6) (pow.f64 a 4))) 5/128) (pow.f64 b 7)) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))))))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 -1 c) (.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (/.f64 (.f64 -1/8 (.f64 c c)) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) 16)))))
(+.f64 (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (pow.f64 b 3)) (-.f64 (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 c c)) (pow.f64 b 5)) 16))) (/.f64 a b)))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (pow.f64 b 3))) (fma.f64 (/.f64 2 (pow.f64 b 7)) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (/.f64 (neg.f64 a) b)))

localize6.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.3b	(.f64 (/.f64 -2 b) (.f64 c a))
✓	9.3b	(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary64`
435×	`pow-prod-down_binary64`
308×	`pow2_binary64`
267×	`pow-unpow_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	241	26
2	3096	26

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
24×	`fma-neg_binary64`
19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Stop Event

1×

saturated

Counts

146 → 78

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
✓	0.6b	(-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))) b)
✓	0.8b	(+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))
✓	23.8b	(sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))

Compiler

Compiled 69 to 31 computations (55.1% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	(-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))) b)
0.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
0.0ms	a	@	0	(sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))
0.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
0.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))

rewrite104.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log-prod_binary64`
650×	`fma-def_binary64`
279×	`fma-neg_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	312	59
2	4301	59

Stop Event

1×	node limit

Counts

4 → 238

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))
(+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))
(-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))) b)
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 b 3) (pow.f64 (.f64 a (.f64 c -4)) 3/2)) (hypot.f64 (.f64 a (.f64 c -4)) (sqrt.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 a c) (.f64 -4 (.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 16 (pow.f64 (.f64 a c) 2)) (pow.f64 b 4))) (sqrt.f64 (-.f64 (.f64 a (.f64 c -4)) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 16 (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 a (.f64 c -4)) (.f64 b b))) (/.f64 (pow.f64 b 4) (-.f64 (.f64 a (.f64 c -4)) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2) (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -64 (pow.f64 (.f64 a c) 3) (pow.f64 b 6)) (/.f64 1 (-.f64 (fma.f64 16 (pow.f64 (.f64 a c) 2) (pow.f64 b 4)) (.f64 (.f64 a c) (.f64 -4 (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 16 (pow.f64 (.f64 a c) 2)) (pow.f64 b 4)) (/.f64 1 (-.f64 (.f64 a (.f64 c -4)) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 16 (pow.f64 (.f64 a c) 2) (pow.f64 b 4)) (.f64 (.f64 a c) (.f64 -4 (.f64 b b)))) (fma.f64 -64 (pow.f64 (.f64 a c) 3) (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 a (.f64 c -4)) (.f64 b b)) (-.f64 (.f64 16 (pow.f64 (.f64 a c) 2)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 (.f64 a c) 3) (pow.f64 b 6)) (-.f64 (fma.f64 16 (pow.f64 (.f64 a c) 2) (pow.f64 b 4)) (.f64 (.f64 a c) (.f64 -4 (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 (.f64 a c) 3) (pow.f64 b 6)) (+.f64 (pow.f64 b 4) (-.f64 (.f64 16 (pow.f64 (.f64 a c) 2)) (.f64 (.f64 a c) (.f64 -4 (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 16 (pow.f64 (.f64 a c) 2)) (pow.f64 b 4)) (-.f64 (.f64 a (.f64 c -4)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -64 (pow.f64 (.f64 a c) 3) (pow.f64 b 6))) (neg.f64 (-.f64 (fma.f64 16 (pow.f64 (.f64 a c) 2) (pow.f64 b 4)) (.f64 (.f64 a c) (.f64 -4 (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 16 (pow.f64 (.f64 a c) 2)) (pow.f64 b 4))) (neg.f64 (-.f64 (.f64 a (.f64 c -4)) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 4) (.f64 16 (pow.f64 (.f64 a c) 2))) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 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simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
644×	`associate-/l*_binary64`
579×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202

Stop Event

1×	node limit

Counts

334 → 318

Calls

Call 1

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

Outputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (.f64 -2 c) (/.f64 b a)))))
(+.f64 (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 (/.f64 c b) a)) b) (.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (/.f64 (.f64 -2 c) (/.f64 b a)))))
(+.f64 (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 (/.f64 c b) a)) b) (.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) 1/2)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (*.f64 b b) 1/2) (sqrt.f64 -4))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))))
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b
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(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b a))))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 a c) -4)
✓	0.2b	(*.f64 (neg.f64 b) (/.f64 1/2 a))
	12.0b	(sqrt.f64 (.f64 (.f64 a c) -4))
✓	12.5b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))

Compiler

Compiled 59 to 31 computations (47.5% saved)

series19.0ms (0.1%)

Counts

3 → 62

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
2.0ms	a	@	inf	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
2.0ms	a	@	-inf	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
2.0ms	c	@	-inf	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
1.0ms	c	@	0	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))

rewrite144.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`log-prod_binary64`
504×	`prod-diff_binary64`
341×	`pow2_binary64`
240×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	297	35
2	3659	35

Stop Event

1×	node limit

Counts

3 → 268

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

680×	`associate-r_binary64`
674×	`unswap-sqr_binary64`
626×	`associate-l_binary64`
440×	`times-frac_binary64`
329×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	898
1	305	782
2	1022	746
3	5806	723

Stop Event

1×	node limit

Counts

330 → 299

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))

Outputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 b (/.f64 a -1/2)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 1/4 (.f64 (/.f64 b (sqrt.f64 -4)) b)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)))))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 1/64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4)))))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 c b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (.f64 -1 c) b))
(+.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -1 a)))
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (/.f64 (pow.f64 b 5) -64)))))
(+.f64 (+.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -1 a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (*.f64 a a) -2)))
(+.f64 (+.f64 (neg.f64 (/.f64 c b)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (.f64 a a) -2)))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -4) 4) (.f64 a a))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (/.f64 (pow.f64 b 5) -64))))))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 (/.f64 -1/4 a) (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -1 a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (*.f64 a a) -2)))))
(+.f64 (neg.f64 (/.f64 c b)) (fma.f64 (/.f64 -1/4 a) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (.f64 a a) -2)))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (.f64 (.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) 1/16 (/.f64 (.f64 1 c) b)) (/.f64 b a))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 1 a)))
(+.f64 (/.f64 c b) (-.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(+.f64 (-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) 1/16 (/.f64 (.f64 1 c) b)) (/.f64 b a)) (.f64 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (/.f64 (pow.f64 b 5) -64)) -1/32))
(+.f64 (/.f64 c b) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 1 a)) (-.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 2 (*.f64 a a))) (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 2 (.f64 a a)) (-.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 b a))))
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(/.f64 (*.f64 b 0) a)
0
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 1/2 (/.f64 b a)))
(/.f64 (*.f64 b 0) a)
0
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(*.f64 -1/2 (/.f64 b a))
(/.f64 b (/.f64 a -1/2))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 c (.f64 a -4))

eval714.0ms (4.2%)

Compiler: Compiled 29182 to 19065 computations (34.7% saved)

prune203.0ms (1.2%)

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	992	19	1011
Fresh	8	12	20
Picked	1	0	1
Done	0	4	4
Total	1001	35	1036

Error

3.6b

Counts

1036 → 35

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.8b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2)))
	40.7b	(/.f64 1 (/.f64 (neg.f64 b) c))
	45.1b	(/.f64 1 (/.f64 a (.f64 (/.f64 1/2 (/.f64 b (.f64 a (*.f64 c -4)))) 1/2)))
	42.6b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) (*.f64 2 a))
	43.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	35.8b	(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a) (neg.f64 (.f64 (/.f64 1/2 (cbrt.f64 a)) (/.f64 b (pow.f64 (cbrt.f64 a) 2))))) (fma.f64 (neg.f64 (/.f64 1/2 (cbrt.f64 a))) (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (.f64 (/.f64 1/2 (cbrt.f64 a)) (/.f64 b (pow.f64 (cbrt.f64 a) 2)))))
✓	44.7b	(neg.f64 (/.f64 b a))
	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
	45.2b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a))
	35.4b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (/.f64 b (/.f64 a -1/2)))
	43.7b	(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a))
	33.1b	(-.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a)) (/.f64 b (.f64 a 2)))
	56.8b	(+.f64 (fma.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 (/.f64 1/2 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a)) (sqrt.f64 b)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a))) (sqrt.f64 b) (.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a)) (sqrt.f64 b))))
	33.2b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
▶	32.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
	32.0b	(/.f64 1 (/.f64 a (.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b) b))) 1/2)))
	42.5b	(+.f64 0 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) (/.f64 1/2 a))))
	57.2b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b) (/.f64 a 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b) (/.f64 a 1/2))))))
	43.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2)))
	44.8b	(/.f64 1 (/.f64 (neg.f64 a) b))
✓	32.1b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
▶	31.8b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b))) (/.f64 1/2 a))
	45.0b	(-.f64 (/.f64 c b) (/.f64 b a))
	46.1b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	44.8b	(.f64 (.f64 b -2) (/.f64 1/2 a))
	44.5b	(/.f64 (.f64 (.f64 -2 (.f64 c a)) 1/2) (.f64 b a))
✓	45.0b	(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
	45.7b	(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))
	40.2b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
▶	54.0b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
	53.9b	0
	56.8b	(+.f64 (fma.f64 (sqrt.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a))) (sqrt.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a))) (neg.f64 (.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a)) (sqrt.f64 b)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a))) (sqrt.f64 b) (.f64 (*.f64 (sqrt.f64 b) (/.f64 1/2 a)) (sqrt.f64 b))))
▶	40.3b	(/.f64 (neg.f64 c) b)
	43.2b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
▶	45.0b	(/.f64 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2)) a)

Compiler

Compiled 1373 to 948 computations (31% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b))) (/.f64 1/2 a))
	0.6b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) b)
✓	2.7b	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) b)))
	12.0b	(sqrt.f64 (.f64 (.f64 a c) -4))

Compiler

Compiled 82 to 45 computations (45.1% saved)

series12.0ms (0.1%)

Counts

2 → 24

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b))) (/.f64 1/2 a))
1.0ms	c	@	inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) b)))
1.0ms	a	@	inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) b)))
1.0ms	a	@	inf	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b))) (/.f64 1/2 a))
1.0ms	a	@	-inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) b)))

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`log-prod_binary64`
561×	`prod-diff_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`
247×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	307	36
2	3828	36

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

Inputs
(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) b)))
(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b))) (/.f64 1/2 a))

Outputs

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simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

919×	`times-frac_binary64`
684×	`associate-/l*_binary64`
557×	`unswap-sqr_binary64`
489×	`associate-/r*_binary64`
483×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1093
1	423	893
2	1543	854
3	6623	854

Stop Event

1×	node limit

Counts

170 → 193

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))))
(*.f64 -2 b)
(+.f64 (.f64 -2 b) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (-.f64 (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a))))) b))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)))) b)
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (-.f64 (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a))))) b)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))) b))
(.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 1/2 (/.f64 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))
(/.f64 (.f64 1/2 (.f64 (*.f64 c a) -4)) b)
(.f64 1/2 (.f64 (/.f64 c (/.f64 b -4)) a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 1/2 (.f64 (/.f64 c (/.f64 b -4)) a) (/.f64 (.f64 -2 (.f64 c (.f64 c (*.f64 a a)))) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/2 (/.f64 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3))) (/.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) -64))) (pow.f64 b 5)))
(fma.f64 1/2 (.f64 (/.f64 c (/.f64 b -4)) a) (fma.f64 1/16 (.f64 (.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 -2 (.f64 c (.f64 c (*.f64 a a)))) (pow.f64 b 3))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))) (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (pow.f64 b 7)) (.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) (/.f64 -1/2 (/.f64 (pow.f64 b 7) (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2))))) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 c (/.f64 b -4)) a) (/.f64 (.f64 -2 (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b 3))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 (/.f64 -1/2 (pow.f64 b 7)) (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 -2 b) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 -2 b (.f64 (/.f64 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) -1/2))
(fma.f64 b -2 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2))
(fma.f64 b -2 (.f64 (/.f64 -1/2 b) (.f64 a (*.f64 c -4))))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 1/8)))
(fma.f64 b -2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)))
(fma.f64 b -2 (fma.f64 (.f64 (.f64 a (.f64 a 16)) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8 (.f64 (/.f64 -1/2 b) (.f64 a (.f64 c -4)))))
(+.f64 (.f64 -2 b) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16))))
(fma.f64 b -2 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) -1/16))))
(fma.f64 (.f64 (/.f64 c (/.f64 b -4)) a) -1/2 (fma.f64 b -2 (fma.f64 (.f64 (.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/16 (.f64 (.f64 (.f64 a (*.f64 a 16)) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8))))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 -4) (.f64 1/2 (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2) (.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (sqrt.f64 -4)) (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b))))
(fma.f64 (sqrt.f64 -4) (.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) 1/4) (.f64 -1/2 (/.f64 b a))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/16 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))))))))
(fma.f64 1/4 (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (sqrt.f64 -4)) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/16 (.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (/.f64 -1/2 (/.f64 a b)))))
(fma.f64 (sqrt.f64 -4) (.f64 1/2 (sqrt.f64 (/.f64 c a))) (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 -1/2 (/.f64 b a) (.f64 1/64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))))))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(/.f64 (.f64 1/4 (.f64 c (pow.f64 (sqrt.f64 -4) 2))) b)
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (.f64 -1 c) b))
(fma.f64 -1/16 (.f64 (.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 (neg.f64 c) b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))))))
(+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 -64 a) a)) (pow.f64 b 5)) (/.f64 -1/16 (/.f64 (pow.f64 b 3) (.f64 c (.f64 c (*.f64 a 16)))))))
(fma.f64 -1/16 (.f64 (.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 1/32 (.f64 (.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (neg.f64 c) b)))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6))))))))
(fma.f64 -1/4 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 -64 a) a)) (pow.f64 b 5)) (/.f64 -1/16 (/.f64 (pow.f64 b 3) (.f64 c (.f64 c (.f64 a 16))))))))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1/16 (.f64 (.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 1/32 (.f64 (.f64 (.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (neg.f64 c) b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (.f64 (.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a)))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (.f64 1 c) b)) (/.f64 b a))
(-.f64 (fma.f64 1/16 (.f64 (.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 c b)) (/.f64 b a))
(fma.f64 1/16 (.f64 (.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 (.f64 -64 a) a)) (pow.f64 b 5)) -1/32 (/.f64 (neg.f64 b) a)) (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a 16)) (/.f64 (*.f64 1 c) b)))
(fma.f64 1/16 (.f64 (.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 (.f64 (.f64 (*.f64 a a) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (-.f64 (/.f64 c b) (/.f64 b a))))
(fma.f64 (/.f64 -1/32 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 (.f64 a a) -64)) (fma.f64 1/16 (.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (-.f64 (/.f64 c b) (/.f64 b a))))

localize8.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.3b	(.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2))
✓	9.3b	(/.f64 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2)) a)

Compiler

Compiled 39 to 21 computations (46.2% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2))
0.0ms	b	@	inf	(.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2))
0.0ms	c	@	0	(.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2))
0.0ms	a	@	0	(.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2))
0.0ms	c	@	inf	(.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`log-prod_binary64`
407×	`pow-prod-down_binary64`
311×	`pow2_binary64`
251×	`pow-unpow_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	240	23
2	3236	23

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

169×	`fma-def_binary64`
46×	`fma-neg_binary64`
25×	`sub-neg_binary64`
16×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	540
1	21	540
2	41	540
3	70	540
4	108	540
5	163	540
6	219	540
7	256	540
8	312	540
9	416	540
10	467	540

Stop Event

1×

saturated

Counts

161 → 93

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
✓	2.2b	(+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
✓	3.0b	(/.f64 c (/.f64 b a))
✓	3.2b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))

Compiler

Compiled 55 to 21 computations (61.8% saved)

series15.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
1.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
1.0ms	c	@	-inf	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
1.0ms	c	@	0	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
1.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))

rewrite154.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`prod-diff_binary64`
278×	`fma-def_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`
234×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	294	52
2	4424	52

Stop Event

1×	node limit

Counts

4 → 223

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
(/.f64 c (/.f64 b a))
(+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)

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

simplify221.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1650×	`fma-neg_binary64`
735×	`div-sub_binary64`
373×	`associate-/r/_binary64`
327×	`cancel-sign-sub-inv_binary64`
326×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	1233
1	23	1179
2	45	1179
3	78	1179
4	118	1179
5	146	1179
6	156	1179
7	177	1179
8	266	1179
9	385	1179
10	410	1179
11	450	1179
12	563	1179
13	1158	1179
14	3204	1179
15	5937	1179
16	6888	1179
17	7153	1179
18	7272	1179
19	7367	1179
20	7855	1179

Stop Event

1×	node limit

Counts

367 → 231

Calls

Call 1

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

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

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c))))))
✓	0.8b	(+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c))))
✓	23.8b	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c)))))
✓	52.7b	(fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c))

Compiler

Compiled 142 to 80 computations (43.7% saved)

series31.0ms (0.2%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c))))))
3.0ms	a	@	inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c)))))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c)))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c)))))
1.0ms	b	@	0	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c)))))

rewrite111.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`log-prod_binary64`
664×	`fma-def_binary64`
373×	`fma-neg_binary64`
265×	`expm1-udef_binary64`
265×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	98
1	346	90
2	4726	82

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

Inputs
(fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c))
(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c)))))
(+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c))))
(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (*.f64 4 a) c))))))

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

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
847×	`associate-/l*_binary64`
734×	`distribute-rgt-in_binary64`
711×	`distribute-lft-in_binary64`
682×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	1921
1	636	1749
2	2311	1678

Stop Event

1×	node limit

Counts

303 → 284

Calls

Call 1

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

Outputs
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 a (.f64 c -4)))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (*.f64 b b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (.f64 c -4))) (.f64 b b)) (sqrt.f64 (.f64 c (*.f64 a -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (sqrt.f64 (.f64 c (.f64 a -4))))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (.f64 b b)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (.f64 c -4))) (.f64 (*.f64 b b) 1/2))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (.f64 (pow.f64 b 4) -1/8) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (sqrt.f64 (.f64 c (*.f64 a -4)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 5))) (pow.f64 b 6))) (+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 5))) (pow.f64 b 6)) (+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (*.f64 b b))))))
(+.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (.f64 c -4))) (.f64 (.f64 b b) 1/2))) (fma.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c (.f64 a -4)) 5)))) (pow.f64 b 6) (sqrt.f64 (.f64 c (.f64 a -4)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c (.f64 a -4)) 5))) (.f64 (pow.f64 b 6) 1/16) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (.f64 (pow.f64 b 4) -1/8) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (sqrt.f64 (.f64 c (.f64 a -4))))))
b
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) b)) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) b)
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) b)
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3))) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -1 b))
(fma.f64 -1/2 (/.f64 a (/.f64 b (*.f64 c -4))) (neg.f64 b))
(-.f64 (.f64 (.f64 (/.f64 (*.f64 a -4) b) c) -1/2) b)
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (neg.f64 b))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8) b))
(fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (neg.f64 b)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1 b (.f64 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (.f64 (/.f64 (.f64 a -4) b) c) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) 1/8) b)))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) -1/16) b)))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) b)
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) b)
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) b))
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(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3))))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 b 3))) 2) (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 4) (pow.f64 b 6))))) b)))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 a -4) 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 1/2 (/.f64 (.f64 a -4) (/.f64 b c)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a -4) 2) (/.f64 (pow.f64 b 3) (.f64 c c))) (.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 a -4) 2) (pow.f64 b 3))) 2) (.f64 1/16 (/.f64 (pow.f64 (*.f64 a -4) 4) (pow.f64 b 6))))))))))
(fma.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 a 3) -64) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a -4) 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 (.f64 a -4) 4) (pow.f64 b 6)) 1/64))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (.f64 (/.f64 (*.f64 (pow.f64 a 4) 256) (pow.f64 b 6)) 5/64))))))
(.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b))
(.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))))
(/.f64 (.f64 (.f64 1/2 (*.f64 c -4)) a) b)
(.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -4)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3))))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)))))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 4) (pow.f64 b 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2) (pow.f64 b 3))) 2))) b)))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 (.f64 c -4) 3))) (fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (pow.f64 (.f64 c -4) 2))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c -4) 4) (pow.f64 b 6)) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 (*.f64 c -4) 2) (pow.f64 b 3))) 2))) b)))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 1/2 (.f64 (/.f64 (.f64 a -4) b) c) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c -4) 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 (.f64 c -4) 4) (pow.f64 b 6)) 1/64))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (.f64 (/.f64 (.f64 (pow.f64 c 4) 256) (pow.f64 b 6)) 5/64)) (.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -4))))))

eval424.0ms (2.5%)

Compiler: Compiled 25584 to 15484 computations (39.5% saved)

prune365.0ms (2.2%)

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	933	12	945
Fresh	6	20	26
Picked	0	1	1
Done	2	6	8
Total	941	39	980

Error

3.6b

Counts

980 → 39

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.8b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2)))
	40.7b	(/.f64 1 (/.f64 (neg.f64 b) c))
	45.1b	(/.f64 1 (/.f64 a (.f64 (/.f64 1/2 (/.f64 b (.f64 a (*.f64 c -4)))) 1/2)))
	42.6b	(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) (*.f64 2 a))
	45.0b	(/.f64 (/.f64 (.f64 -1 (.f64 c a)) b) a)
✓	44.7b	(neg.f64 (/.f64 b a))
▶	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
	45.4b	(/.f64 (/.f64 c (/.f64 b (neg.f64 a))) a)
	32.0b	(.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
	45.2b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a))
	35.4b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (/.f64 b (/.f64 a -1/2)))
	43.7b	(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a))
	33.1b	(-.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a)) (/.f64 b (.f64 a 2)))
	33.1b	(.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b)))) (/.f64 1/2 a))
	45.1b	(.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))) (/.f64 1/2 a))
	33.2b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
✓	32.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
▶	32.0b	(/.f64 1 (/.f64 a (.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b) b))) 1/2)))
	42.5b	(+.f64 0 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) (/.f64 1/2 a))))
	47.0b	(.f64 (exp.f64 (log.f64 (.f64 b -2))) (/.f64 1/2 a))
	44.8b	(.f64 (.f64 b -2) (/.f64 1/2 a))
	57.2b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b) (/.f64 a 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b) (/.f64 a 1/2))))))
	43.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2)))
▶	44.8b	(/.f64 1 (/.f64 (neg.f64 a) b))
✓	32.1b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
▶	47.2b	(.f64 (exp.f64 (log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (.f64 a -4))))) (/.f64 1/2 a))
	45.1b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (.f64 -2 (/.f64 c b)) a) b)) (*.f64 2 a))
	46.1b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	44.5b	(/.f64 (.f64 (.f64 -2 (.f64 c a)) 1/2) (.f64 b a))
	45.0b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	45.0b	(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
	45.7b	(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))
	40.2b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
✓	45.0b	(/.f64 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2)) a)
	43.8b	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 2 a))
	53.9b	0
✓	40.3b	(/.f64 (neg.f64 c) b)
	43.2b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
▶	44.5b	(.f64 (/.f64 (/.f64 -2 b) a) (.f64 (*.f64 c a) 1/2))

Compiler

Compiled 1276 to 905 computations (29.1% saved)

localize101.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 c -4))
✓	0.6b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b)
✓	2.7b	(exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b)))
✓	12.0b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 112 to 75 computations (33% saved)

series32.0ms (0.2%)

Counts

4 → 48

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b)))
2.0ms	c	@	inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b)))
2.0ms	a	@	inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b)))
2.0ms	c	@	inf	(-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b)
2.0ms	a	@	-inf	(exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b)))

rewrite119.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`log-prod_binary64`
551×	`prod-diff_binary64`
360×	`pow-prod-down_binary64`
296×	`pow2_binary64`
256×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	238	46
2	2922	46

Stop Event

1×	node limit

Counts

4 → 281

Calls

Call 1

Inputs
(sqrt.f64 (.f64 a (.f64 c -4)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b)))
(-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b)
(.f64 a (.f64 c -4))

Outputs
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egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/6) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/6) (.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) b)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (fma.f64 a (.f64 c -4) (.f64 b b)))) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (fma.f64 a (.f64 c -4) (.f64 b b)))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (fma.f64 a (.f64 c -4) (.f64 b b)))) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 b)) 2) (cbrt.f64 (neg.f64 b)) (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 c (.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) a))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 -4 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (.f64 -4 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 a c) 2) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 -4 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 -4 a)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 c (.f64 -4 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 -4 a)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 -4 a)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 a c) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c (.f64 -4 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 c (.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 c (.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 c (.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c (*.f64 -4 a))) 1))))))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

732×	`associate-r_binary64`
671×	`unswap-sqr_binary64`
633×	`associate-l_binary64`
533×	`times-frac_binary64`
413×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1258
1	267	1066
2	931	1000
3	6228	980

Stop Event

1×	node limit

Counts

329 → 193

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`pow1_binary64`
563×	`add-log-exp_binary64`
563×	`log1p-expm1-u_binary64`
563×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	4
2	2063	4

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	144
1	10	144
2	17	144
3	23	144
4	29	144
5	37	144
6	45	144
7	55	144
8	63	144
9	77	144

Stop Event

1×

saturated

Counts

61 → 38

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 -2 b) a)
✓	13.8b	(.f64 (/.f64 (/.f64 -2 b) a) (.f64 (*.f64 c a) 1/2))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (/.f64 -2 b) a)
1.0ms	b	@	0	(/.f64 (/.f64 -2 b) a)
0.0ms	a	@	0	(/.f64 (/.f64 -2 b) a)
0.0ms	a	@	-inf	(/.f64 (/.f64 -2 b) a)
0.0ms	b	@	inf	(/.f64 (/.f64 -2 b) a)

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`log-prod_binary64`
425×	`pow-prod-down_binary64`
312×	`pow2_binary64`
256×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	240	23
2	3167	23

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	384
1	17	384
2	26	384
3	32	384
4	38	384
5	46	384
6	54	384
7	64	384
8	72	384
9	86	384

Stop Event

1×

saturated

Counts

142 → 86

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
✓	12.0b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series30.0ms (0.2%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	c	@	-inf	(-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
1.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
1.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
1.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
1.0ms	c	@	inf	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
642×	`log-prod_binary64`
372×	`fma-def_binary64`
234×	`pow1/3_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	262	39
2	3437	39

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs
(sqrt.f64 (.f64 c (.f64 a -4)))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)

Outputs

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simplify243.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1191×	`fma-def_binary64`
773×	`fma-neg_binary64`
291×	`associate-r_binary64`
285×	`div-sub_binary64`
226×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	21	380
1	36	380
2	57	380
3	72	380
4	90	380
5	118	380
6	182	380
7	280	380
8	457	380
9	758	380
10	1120	371
11	1421	371
12	2000	371
13	2996	371
14	3058	371
15	3165	371
16	3367	371
17	3662	371
18	4358	371
19	4962	371
20	5663	371
21	5757	371
22	5869	371
23	5923	371
24	5973	371
25	5973	371

Stop Event

1×

saturated

Counts

215 → 198

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1 b)
(*.f64 -1 b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))

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

localize90.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(.f64 (exp.f64 (log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (.f64 a -4))))) (/.f64 1/2 a))
✓	2.4b	(exp.f64 (log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4)))))
✓	3.1b	(log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4))))
✓	6.0b	(.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4))

Compiler

Compiled 90 to 62 computations (31.1% saved)

series40.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4))))
3.0ms	a	@	inf	(.f64 (exp.f64 (log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (.f64 a -4))))) (/.f64 1/2 a))
2.0ms	b	@	inf	(log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4))))
2.0ms	b	@	-inf	(log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4))))
1.0ms	c	@	0	(log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4))))

rewrite138.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`log-prod_binary64`
292×	`expm1-udef_binary64`
292×	`log1p-udef_binary64`
269×	`pow3_binary64`
241×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	345	72
2	4206	72

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4))
(log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4))))
(exp.f64 (log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (*.f64 a -4)))))
(.f64 (exp.f64 (log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (.f64 a -4))))) (/.f64 1/2 a))

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

simplify159.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

583×	`associate-+l+_binary64`
572×	`fma-def_binary64`
566×	`sub-neg_binary64`
469×	`times-frac_binary64`
466×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	2562
1	400	2379
2	1331	2339
3	6734	2339

Stop Event

1×	node limit

Counts

295 → 214

Calls

Call 1

Inputs
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (*.f64 -1 (log.f64 b)))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (+.f64 (.f64 -1 (log.f64 b)) (.f64 -1 (/.f64 (pow.f64 b 2) (*.f64 c a)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 2 (.f64 c a))) (+.f64 (.f64 -1 (log.f64 b)) (.f64 -1 (/.f64 (pow.f64 b 2) (*.f64 c a))))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 2 (.f64 c a))) (+.f64 (.f64 -1 (log.f64 b)) (.f64 -1 (/.f64 (pow.f64 b 2) (*.f64 c a)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 -2))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 -2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 -2))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 -2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (log.f64 2) (.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6)))))))
(log.f64 (*.f64 -2 b))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (*.f64 -2 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (*.f64 -2 b))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (log.f64 (.f64 -2 b)) (.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(log.f64 (*.f64 -2 b))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (*.f64 -2 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (*.f64 -2 b))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (+.f64 (log.f64 (.f64 -2 b)) (.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 2 (/.f64 c b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 2 (/.f64 c b))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 2 (/.f64 c b))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 2 (/.f64 c b))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(+.f64 (log.f64 (.f64 -2 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 -2 (/.f64 c b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -2 (/.f64 c b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -2 (/.f64 c b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))

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

eval685.0ms (4.1%)

Compiler: Compiled 16152 to 10725 computations (33.6% saved)

prune329.0ms (2%)

Pruning

43 alts after pruning (35 fresh and 8 done)

	Pruned	Kept	Total
New	712	17	729
Fresh	9	18	27
Picked	1	0	1
Done	3	8	11
Total	725	43	768

Error

0.0b

Counts

768 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	62.3b	(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
✓	44.7b	(neg.f64 (/.f64 b a))
✓	43.8b	(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
	45.2b	(.f64 (-.f64 (-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a))
	45.4b	(/.f64 (/.f64 c (/.f64 b (neg.f64 a))) a)
	44.8b	(*.f64 (/.f64 1 a) (neg.f64 b))
	35.4b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (/.f64 b (/.f64 a -1/2)))
	43.7b	(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a))
	33.1b	(-.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a)) (/.f64 b (.f64 a 2)))
	33.1b	(.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b)))) (/.f64 1/2 a))
	45.1b	(.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))) (/.f64 1/2 a))
	62.3b	(*.f64 (/.f64 1 a) b)
	33.2b	(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
	44.0b	(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 -2 a)) 1/2)))
	62.3b	(*.f64 (/.f64 b a) 1)
	43.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2)))
✓	44.8b	(/.f64 1 (/.f64 (neg.f64 a) b))
✓	32.1b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
	47.0b	(.f64 (exp.f64 (log.f64 (.f64 b -2))) (/.f64 1/2 a))
✓	40.3b	(/.f64 (neg.f64 c) b)
	46.7b	(/.f64 (-.f64 (.f64 a (.f64 -4 c)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)))
	43.2b	(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
	50.5b	(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) 1/2) (sqrt.f64 a)) (sqrt.f64 a))
	44.7b	(.f64 (/.f64 (-.f64 (.f64 a (.f64 -4 c)) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (/.f64 1/2 a))
	54.3b	(/.f64 c b)
	46.1b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	44.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) 1/2)))
	45.1b	(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (.f64 -2 (/.f64 c b)) a) b)) (*.f64 2 a))
	62.9b	(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
	45.0b	(-.f64 (/.f64 c b) (/.f64 b a))
	45.2b	(.f64 (+.f64 (.f64 (.f64 -1/2 (/.f64 c b)) (.f64 a -4)) (*.f64 b -2)) (/.f64 1/2 a))
✓	45.0b	(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
✓	44.5b	(.f64 (/.f64 (/.f64 -2 b) a) (.f64 (*.f64 c a) 1/2))
	44.5b	(/.f64 (.f64 (.f64 a (.f64 c 1/2)) -2) (.f64 b a))
	62.2b	(pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)
	54.0b	(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) (/.f64 1/2 a))
✓	45.0b	(/.f64 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2)) a)
	43.8b	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 2 a))
	45.0b	(/.f64 (/.f64 (.f64 -1 (.f64 c a)) b) a)
	44.9b	(/.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 a (.f64 -4 c)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b))
	53.9b	0
	42.5b	(+.f64 0 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) (/.f64 1/2 a))))
	40.2b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))

Compiler

Compiled 682 to 485 computations (28.9% saved)

regimes1.8s (10.5%)

Counts

75 → 3

Calls

Call 1

Inputs
0
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(/.f64 (/.f64 c (/.f64 b (neg.f64 a))) a)
(/.f64 (/.f64 (.f64 -1 (.f64 c a)) b) a)
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (.f64 (.f64 a (.f64 c 1/2)) -2) (.f64 b a))
(.f64 (/.f64 (/.f64 -2 b) a) (.f64 (*.f64 c a) 1/2))
(/.f64 (.f64 (.f64 -2 (.f64 c a)) 1/2) (.f64 b a))
(/.f64 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2)) a)
(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 -2 a)) 1/2)))
(+.f64 0 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) (/.f64 1/2 a))))
(/.f64 1 (/.f64 a (.f64 (/.f64 1/2 (/.f64 b (.f64 a (*.f64 c -4)))) 1/2)))
(.f64 (-.f64 (-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (.f64 -2 (/.f64 c b)) a) b)) (*.f64 2 a))
(.f64 (+.f64 (.f64 (.f64 -1/2 (/.f64 c b)) (.f64 a -4)) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) 1/2)))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (-.f64 (.f64 a (.f64 -4 c)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)))
(.f64 (/.f64 (-.f64 (.f64 a (.f64 -4 c)) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (/.f64 1/2 a))
(/.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 a (.f64 -4 c)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b))
(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
(pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)
(.f64 (exp.f64 (log.f64 (.f64 b -2))) (/.f64 1/2 a))
(.f64 (exp.f64 (log.f64 (.f64 b -2))) (/.f64 1/2 a))
(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) (/.f64 1/2 a))
(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2)))
(-.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a)) (/.f64 b (.f64 a 2)))
(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) 1/2) (sqrt.f64 a)) (sqrt.f64 a))
(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (/.f64 b (/.f64 a -1/2)))
(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2)))
(.f64 (exp.f64 (log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (.f64 a -4))))) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) (*.f64 2 a))
(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a))
(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b))) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b) b))) 1/2)))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
(.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))) (/.f64 1/2 a))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b) (/.f64 a 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) b) (/.f64 a 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 a -2))))))
(.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b)))) (/.f64 1/2 a))
(+.f64 (fma.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 (/.f64 1/2 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a)) (sqrt.f64 b)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a))) (sqrt.f64 b) (.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a)) (sqrt.f64 b))))
(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a) (neg.f64 (.f64 (/.f64 1/2 (cbrt.f64 a)) (/.f64 b (pow.f64 (cbrt.f64 a) 2))))) (fma.f64 (neg.f64 (/.f64 1/2 (cbrt.f64 a))) (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (.f64 (/.f64 1/2 (cbrt.f64 a)) (/.f64 b (pow.f64 (cbrt.f64 a) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a))) (sqrt.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a))) (neg.f64 (.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a)) (sqrt.f64 b)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 b) (/.f64 1/2 a))) (sqrt.f64 b) (.f64 (*.f64 (sqrt.f64 b) (/.f64 1/2 a)) (sqrt.f64 b))))

Outputs
(neg.f64 (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
(/.f64 (neg.f64 c) b)

Calls

5 calls:

632.0ms	a
445.0ms	c
273.0ms	b
200.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
166.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Results

Error	Segments	Branch
21.5b	9	`a`
7.6b	3	`b`
23.0b	6	`c`
12.6b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`
12.6b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 1203 to 726 computations (39.7% saved)

bsearch226.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
150.0ms	2.9167037391392693e-72	2.9552995508575954e-64
75.0ms	-5.4906382504813316e+104	-8.798036300051321e+102

Compiler

Compiled 650 to 451 computations (30.6% saved)

regimes1.2s (7.3%)

Counts

64 → 3

Calls

Call 1

Inputs
0
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(/.f64 (/.f64 c (/.f64 b (neg.f64 a))) a)
(/.f64 (/.f64 (.f64 -1 (.f64 c a)) b) a)
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (.f64 (.f64 a (.f64 c 1/2)) -2) (.f64 b a))
(.f64 (/.f64 (/.f64 -2 b) a) (.f64 (*.f64 c a) 1/2))
(/.f64 (.f64 (.f64 -2 (.f64 c a)) 1/2) (.f64 b a))
(/.f64 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2)) a)
(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 -2 a)) 1/2)))
(+.f64 0 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) (/.f64 1/2 a))))
(/.f64 1 (/.f64 a (.f64 (/.f64 1/2 (/.f64 b (.f64 a (*.f64 c -4)))) 1/2)))
(.f64 (-.f64 (-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (.f64 -2 (/.f64 c b)) a) b)) (*.f64 2 a))
(.f64 (+.f64 (.f64 (.f64 -1/2 (/.f64 c b)) (.f64 a -4)) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) 1/2)))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (-.f64 (.f64 a (.f64 -4 c)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)))
(.f64 (/.f64 (-.f64 (.f64 a (.f64 -4 c)) (.f64 b b)) (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (/.f64 1/2 a))
(/.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 a (.f64 -4 c)) (.f64 b b))) (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b))
(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
(pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)
(.f64 (exp.f64 (log.f64 (.f64 b -2))) (/.f64 1/2 a))
(.f64 (exp.f64 (log.f64 (.f64 b -2))) (/.f64 1/2 a))
(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b) (/.f64 1/2 a))
(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) b) 1/2)))
(-.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b) (/.f64 1/2 a)) (/.f64 b (.f64 a 2)))
(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
(.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) 1/2) (sqrt.f64 a)) (sqrt.f64 a))
(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (/.f64 b (/.f64 a -1/2)))
(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2)))
(.f64 (exp.f64 (log.f64 (fma.f64 b -2 (.f64 (/.f64 (.f64 -1/2 c) b) (.f64 a -4))))) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))) (*.f64 2 a))
(.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a))
(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))

Outputs
(neg.f64 (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (neg.f64 c) b)

Calls

5 calls:

491.0ms	a
321.0ms	c
205.0ms	b
96.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
91.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Results

Error	Segments	Branch
21.5b	9	`a`
7.6b	3	`b`
23.0b	6	`c`
12.6b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`
12.6b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 840 to 493 computations (41.3% saved)

bsearch229.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
170.0ms	2.9167037391392693e-72	2.9552995508575954e-64
58.0ms	-5.4906382504813316e+104	-8.798036300051321e+102

Compiler

Compiled 490 to 355 computations (27.6% saved)

regimes477.0ms (2.8%)

Counts

40 → 3

Calls

Call 1

Inputs
0
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(/.f64 (/.f64 c (/.f64 b (neg.f64 a))) a)
(/.f64 (/.f64 (.f64 -1 (.f64 c a)) b) a)
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (.f64 (.f64 a (.f64 c 1/2)) -2) (.f64 b a))
(.f64 (/.f64 (/.f64 -2 b) a) (.f64 (*.f64 c a) 1/2))
(/.f64 (.f64 (.f64 -2 (.f64 c a)) 1/2) (.f64 b a))
(/.f64 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2)) a)
(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 -2 a)) 1/2)))
(+.f64 0 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) (/.f64 1/2 a))))
(/.f64 1 (/.f64 a (.f64 (/.f64 1/2 (/.f64 b (.f64 a (*.f64 c -4)))) 1/2)))
(.f64 (-.f64 (-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (.f64 -2 (/.f64 c b)) a) b)) (*.f64 2 a))
(.f64 (+.f64 (.f64 (.f64 -1/2 (/.f64 c b)) (.f64 a -4)) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) 1/2)))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))

Outputs
(neg.f64 (/.f64 b a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (neg.f64 c) b)

Calls

3 calls:

212.0ms	c
171.0ms	a
83.0ms	b

Results

Error	Segments	Branch
26.4b	7	`a`
7.7b	3	`b`
26.3b	9	`c`

Compiler

Compiled 400 to 226 computations (43.5% saved)

bsearch221.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
147.0ms	2.9167037391392693e-72	2.9552995508575954e-64
74.0ms	-3.5132776694176266e+65	-9.192227780461623e+60

Compiler

Compiled 502 to 359 computations (28.5% saved)

regimes492.0ms (2.9%)

Counts

39 → 3

Calls

Call 1

Inputs
0
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(/.f64 (/.f64 c (/.f64 b (neg.f64 a))) a)
(/.f64 (/.f64 (.f64 -1 (.f64 c a)) b) a)
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (.f64 (.f64 a (.f64 c 1/2)) -2) (.f64 b a))
(.f64 (/.f64 (/.f64 -2 b) a) (.f64 (*.f64 c a) 1/2))
(/.f64 (.f64 (.f64 -2 (.f64 c a)) 1/2) (.f64 b a))
(/.f64 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2)) a)
(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 -2 a)) 1/2)))
(+.f64 0 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) (/.f64 1/2 a))))
(/.f64 1 (/.f64 a (.f64 (/.f64 1/2 (/.f64 b (.f64 a (*.f64 c -4)))) 1/2)))
(.f64 (-.f64 (-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (.f64 -2 (/.f64 c b)) a) b)) (*.f64 2 a))
(.f64 (+.f64 (.f64 (.f64 -1/2 (/.f64 c b)) (.f64 a -4)) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(.f64 (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) 1/2)))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))

Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 2 a))
(/.f64 (neg.f64 c) b)

Calls

3 calls:

203.0ms	a
196.0ms	c
81.0ms	b

Results

Error	Segments	Branch
29.1b	9	`a`
11.1b	3	`b`
29.9b	10	`c`

Compiler

Compiled 384 to 216 computations (43.8% saved)

bsearch170.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
148.0ms	2.9167037391392693e-72	2.9552995508575954e-64
22.0ms	-5.634001981993939e-64	-4.97073790580567e-64

Compiler

Compiled 296 to 219 computations (26% saved)

regimes260.0ms (1.5%)

Counts

33 → 2

Calls

Call 1

Inputs
0
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1 a) b)
(*.f64 (/.f64 b a) 1)
(*.f64 (/.f64 1 a) (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 (.f64 b -2) (/.f64 1/2 a))
(/.f64 (/.f64 c (/.f64 b (neg.f64 a))) a)
(/.f64 (/.f64 (.f64 -1 (.f64 c a)) b) a)
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (.f64 (.f64 a (.f64 c 1/2)) -2) (.f64 b a))
(.f64 (/.f64 (/.f64 -2 b) a) (.f64 (*.f64 c a) 1/2))
(/.f64 (.f64 (.f64 -2 (.f64 c a)) 1/2) (.f64 b a))
(/.f64 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) 1/2)) a)
(.f64 (.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) (*.f64 -2 a)) 1/2)))
(+.f64 0 (.f64 (/.f64 -2 b) (.f64 (*.f64 c a) (/.f64 1/2 a))))
(/.f64 1 (/.f64 a (.f64 (/.f64 1/2 (/.f64 b (.f64 a (*.f64 c -4)))) 1/2)))
(.f64 (-.f64 (-.f64 (/.f64 (.f64 c 2) (/.f64 b a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (.f64 -2 (/.f64 c b)) a) b)) (*.f64 2 a))
(.f64 (+.f64 (.f64 (.f64 -1/2 (/.f64 c b)) (.f64 a -4)) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))

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

Calls

3 calls:

150.0ms	c
66.0ms	a
35.0ms	b

Results

Error	Segments	Branch
35.5b	4	`a`
22.4b	2	`b`
33.8b	9	`c`

Compiler

Compiled 306 to 167 computations (45.4% saved)

bsearch46.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
46.0ms	3.096307003430907e-277	1.0182515031231161e-271

Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes14.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
0
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)

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

Calls

3 calls:

5.0ms	a
4.0ms	b
4.0ms	c

Results

Error	Segments	Branch
40.3b	1	`a`
40.3b	1	`b`
40.3b	1	`c`

Compiler

Compiled 27 to 16 computations (40.7% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.7b remaining (-1.2%)

Threshold costs -0.7b (-1.2%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(/.f64 c b)

Outputs
0

Calls

3 calls:

3.0ms	b
3.0ms	c
3.0ms	a

Results

Error	Segments	Branch
53.9b	1	`a`
53.9b	1	`b`
53.9b	1	`c`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
15×	`*-commutative_binary64`
11×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	233
1	91	229
2	118	229
3	129	229
4	134	229
5	135	229

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (.f64 4 a) c)))))) (.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
0

Outputs
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 (.f64 4 a) c)))))) (.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 c (.f64 a 4))))))) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 c (.f64 a 4)))))) b) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -4)))) b) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c)))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
0

Compiler

Compiled 175 to 116 computations (33.7% saved)

soundness539.0ms (3.2%)

Algorithm

4×	egg-herbie

Rules

981×	`fma-def_binary64`
978×	`times-frac_binary64`
978×	`fma-def_binary64`
978×	`times-frac_binary64`
978×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202
0	15	26
1	33	22
2	72	22
3	163	22
4	266	22
5	435	22
6	747	22
7	1334	22
8	2704	22
9	4100	22
10	5724	22
11	6429	22
12	7085	22
13	7173	22
14	7735	22
15	7877	22
0	184	2477
1	582	2367
2	2117	2202
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Stop Event

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

Compiler

Compiled 487 to 345 computations (29.2% saved)

end72.0ms (0.4%)

Compiler: Compiled 157 to 80 computations (49% saved)

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Iter	Nodes	Cost
0	10	540
1	21	540
2	41	540
3	70	540
4	108	540
5	163	540
6	219	540
7	256	540
8	312	540
9	416	540
10	467	540

Iter	Nodes	Cost
0	10	384
1	17	384
2	26	384
3	32	384
4	38	384
5	46	384
6	54	384
7	64	384
8	72	384
9	86	384

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Iter	Nodes	Cost
0	10	540
1	21	540
2	41	540
3	70	540
4	108	540
5	163	540
6	219	540
7	256	540
8	312	540
9	416	540
10	467	540

Iter	Nodes	Cost
0	10	384
1	17	384
2	26	384
3	32	384
4	38	384
5	46	384
6	54	384
7	64	384
8	72	384
9	86	384

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Iter	Nodes	Cost
0	10	540
1	21	540
2	41	540
3	70	540
4	108	540
5	163	540
6	219	540
7	256	540
8	312	540
9	416	540
10	467	540

Iter	Nodes	Cost
0	10	384
1	17	384
2	26	384
3	32	384
4	38	384
5	46	384
6	54	384
7	64	384
8	72	384
9	86	384