Details

analyze560.0ms (2.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.4s (12.5%)

Results

899.0ms	5559×	body	256	valid
573.0ms	1151×	body	2048	valid
292.0ms	1652×	body	256	invalid
260.0ms	730×	body	1024	valid
244.0ms	428×	body	4096	valid
98.0ms	388×	body	512	valid

preprocess77.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

551×	`associate-/l*_binary64`
461×	`fma-neg_binary64`
449×	`div-sub_binary64`
441×	`associate-/r*_binary64`
321×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	115	96
2	308	96
3	784	88
4	1483	88
5	2847	88
6	6570	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 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1217×	`fma-neg_binary64`
846×	`fma-def_binary64`
776×	`div-sub_binary64`
405×	`times-frac_binary64`
325×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	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 4 (.f64 a c))))) (.f64 2 a))

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

eval1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% 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

33.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.8b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
▶	33.9b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓	0.9b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
✓	1.3b	(fma.f64 b b (.f64 a (.f64 c -4)))
✓	23.2b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series29.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`prod-diff_binary64`
667×	`log-prod_binary64`
286×	`fma-def_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	280	59
2	3655	59

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

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

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
609×	`fma-neg_binary64`
570×	`associate-r_binary64`
570×	`times-frac_binary64`
536×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2203
1	440	2105
2	1480	1988
3	7141	1952

Stop Event

1×	node limit

Counts

257 → 235

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 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.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 b (+.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 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.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 2 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 (.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 (/.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 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.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 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.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 2 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 (.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 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 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 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.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 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (.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 (.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 -1/4 (/.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 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
(.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)))
(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 (pow.f64 (.f64 c 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))))
(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 (pow.f64 (.f64 c 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 a (/.f64 c b)) 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 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.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 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.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 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 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 c (/.f64 (/.f64 b a) 2)) 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 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c))) (neg.f64 b))
(fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (neg.f64 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 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) b)
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) 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 a (/.f64 c b)) 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 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.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 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.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 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 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 a (/.f64 c b)) 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 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.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 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.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 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 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))
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(+.f64 (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))
(*.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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (.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 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (-.f64 (/.f64 c b) (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))))
(-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) 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 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.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))) (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.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 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(-.f64 (fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (.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 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (-.f64 (/.f64 c b) (/.f64 b a))))
(*.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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (.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 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (-.f64 (/.f64 c b) (/.f64 b a))))

localize28.0ms (0.1%)

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 4 (.f64 a c))))) (.f64 2 a))
✓	0.9b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 73 to 32 computations (56.2% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite125.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`fma-def_binary64`
382×	`fma-neg_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
229×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	347	62
2	5126	59

Stop Event

1×	node limit

Counts

4 → 394

Calls

Call 1

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

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

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
706×	`fma-def_binary64`
592×	`associate-r_binary64`
579×	`times-frac_binary64`
559×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2214
1	462	2111
2	1564	2000
3	7470	2000

Stop Event

1×	node limit

Counts

490 → 470

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

eval469.0ms (2.5%)

Compiler: Compiled 19038 to 11078 computations (41.8% saved)

prune198.0ms (1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	680	25	705
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	682	25	707

Error

7.1b

Counts

707 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	47.5b	(exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))
	45.4b	(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) a))
	46.0b	(/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 4 (.f64 a c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (.f64 2 a))
	44.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	34.8b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
	44.1b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	46.4b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
▶	34.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
	52.3b	(.f64 (/.f64 1 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (cbrt.f64 (.f64 a 2))))
▶	33.9b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	40.7b	(/.f64 (neg.f64 c) b)
	53.8b	(pow.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)
	41.6b	(/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))) (*.f64 2 a))
	57.2b	(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
▶	44.2b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
	45.2b	(fma.f64 (.f64 (cbrt.f64 (.f64 b (/.f64 1/2 a))) (cbrt.f64 (.f64 b (/.f64 1/2 a)))) (cbrt.f64 (.f64 b (/.f64 1/2 a))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))
▶	46.3b	(/.f64 (neg.f64 b) a)
	45.4b	(.f64 (/.f64 1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
	46.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	53.6b	(.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) (/.f64 -1/2 a))
▶	47.8b	(*.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) (/.f64 -1/2 a))
	47.6b	(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
	34.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	57.3b	(/.f64 (-.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 2 b) (.f64 c a)) b)) (*.f64 2 a))
	41.7b	(.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))

Compiler

Compiled 924 to 644 computations (30.3% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
✓	0.9b	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))
✓	1.0b	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
✓	23.2b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series27.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite162.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary64`
583×	`fma-def_binary64`
314×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	311	59
2	4330	59

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

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

Outputs
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simplify146.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
609×	`fma-neg_binary64`
570×	`associate-r_binary64`
570×	`times-frac_binary64`
536×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2203
1	440	2105
2	1480	1988
3	7141	1952

Stop Event

1×	node limit

Counts

294 → 272

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

localize11.0ms (0.1%)

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

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 b a) 2)
✓	4.8b	(/.f64 c (/.f64 (/.f64 b a) 2))
✓	10.8b	(*.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) (/.f64 -1/2 a))

Compiler

Compiled 37 to 19 computations (48.6% saved)

series58.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
26.0ms	c	@	inf	(*.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) (/.f64 -1/2 a))
5.0ms	a	@	-inf	(*.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) (/.f64 -1/2 a))
3.0ms	b	@	-inf	(/.f64 c (/.f64 (/.f64 b a) 2))
3.0ms	c	@	0	(*.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) (/.f64 -1/2 a))
2.0ms	c	@	0	(/.f64 c (/.f64 (/.f64 b a) 2))

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`log-prod_binary64`
328×	`pow2_binary64`
289×	`log-div_binary64`
239×	`pow-unpow_binary64`
233×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	254	30
2	3640	30

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	744
1	26	744
2	50	744
3	85	744
4	122	744
5	141	744
6	149	744
7	170	744
8	256	744
9	356	744

Stop Event

1×

saturated

Counts

245 → 154

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))
(*.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))

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))
✓	0.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
✓	0.2b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	14.9b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 57 to 36 computations (36.8% saved)

series60.0ms (0.3%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
6.0ms	a	@	inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
4.0ms	a	@	inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
3.0ms	c	@	-inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
3.0ms	c	@	inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`log-prod_binary64`
689×	`prod-diff_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`
235×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	282	57
2	3753	57

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 -4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -4 (.f64 a c))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -4 (.f64 a c))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -4 (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 -4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -4 (.f64 a c))) (cbrt.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))) (cbrt.f64 (.f64 -4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 -4 (.f64 a c)) 1/4) (pow.f64 (.f64 -4 (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 -4 (.f64 a c)) 2))) (sqrt.f64 (cbrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -4 (.f64 a c)) 2)) 1/2) (pow.f64 (cbrt.f64 (.f64 -4 (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a c) 1/2) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -4 (.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -4 (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -4 (.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 -4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -4 (.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -4 (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -4 (*.f64 a c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b b) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))) (/.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))) 2) (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))) (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 b b (.f64 -4 (.f64 a c)))) (.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c)))) (/.f64 1 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 b b (.f64 -4 (.f64 a c)))) (.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)) (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2)) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 -4 (.f64 a c)))) (.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2)) (+.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (-.f64 (.f64 b b) (.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c)))) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 b b (.f64 -4 (.f64 a c)))) (.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c))))) (neg.f64 (-.f64 b (hypot.f64 (sqrt.f64 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simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

955×	`times-frac_binary64`
715×	`associate-/l*_binary64`
642×	`fma-def_binary64`
603×	`unswap-sqr_binary64`
526×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1607
1	491	1348
2	1763	1293
3	7292	1293

Stop Event

1×	node limit

Counts

182 → 208

Calls

Call 1

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

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

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	7.1b	(.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))))
	14.9b	(sqrt.f64 (.f64 a (.f64 c -4)))
✓	18.1b	(-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (*.f64 b b)))

Compiler

Compiled 109 to 56 computations (48.6% saved)

series27.0ms (0.1%)

Counts

3 → 84

Calls

27 calls:

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

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`log-prod_binary64`
504×	`fma-def_binary64`
304×	`expm1-udef_binary64`
304×	`log1p-udef_binary64`
280×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	355	55
2	4846	55

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

746×	`associate-r_binary64`
671×	`unswap-sqr_binary64`
648×	`associate-l_binary64`
535×	`times-frac_binary64`
414×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	944
1	264	850
2	946	816
3	6316	806

Stop Event

1×	node limit

Counts

322 → 266

Calls

Call 1

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

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

eval844.0ms (4.4%)

Compiler: Compiled 25746 to 15475 computations (39.9% saved)

prune376.0ms (2%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	906	24	930
Fresh	15	5	20
Picked	1	0	1
Done	1	3	4
Total	923	32	955

Error

4.1b

Counts

955 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	47.5b	(exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 a c))) b)) (/.f64 -1/2 a))))
▶	45.4b	(.f64 1/2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) a))
	45.4b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)
▶	47.6b	(/.f64 (.f64 (/.f64 -1/2 b) (.f64 a (.f64 c -4))) (.f64 a -2))
	47.8b	(.f64 (.f64 c (/.f64 2 (/.f64 b a))) (/.f64 -1/2 a))
✓	34.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
▶	47.5b	(.f64 (.f64 (/.f64 a b) (/.f64 c 1/2)) (/.f64 -1/2 a))
▶	31.4b	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
	52.3b	(.f64 (/.f64 1 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (cbrt.f64 (.f64 a 2))))
	46.1b	(/.f64 (/.f64 (*.f64 c (/.f64 -1/2 a)) (/.f64 b a)) 1/2)
✓	33.9b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	57.2b	(/.f64 (+.f64 b (neg.f64 b)) (*.f64 a -2))
	55.5b	(.f64 (/.f64 c (expm1.f64 (log1p.f64 (.f64 (/.f64 b a) 1/2)))) (/.f64 -1/2 a))
	54.3b	(.f64 (exp.f64 (log.f64 (.f64 c (*.f64 (/.f64 2 b) a)))) (/.f64 -1/2 a))
	46.9b	(/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a)))) (*.f64 a -2))
	45.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)) 3)
	46.2b	(/.f64 1 (/.f64 (.f64 (/.f64 b a) 1/2) (.f64 c (/.f64 -1/2 a))))
	45.5b	(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
	47.5b	(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)))
✓	46.3b	(/.f64 (neg.f64 b) a)
	47.8b	(.f64 (/.f64 c (.f64 b (/.f64 1/2 a))) (/.f64 -1/2 a))
	48.2b	(/.f64 -1/2 (.f64 (/.f64 b (.f64 c (*.f64 a 2))) a))
▶	40.7b	(/.f64 (neg.f64 c) b)
	44.1b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	46.4b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	45.4b	(.f64 (/.f64 1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
	44.5b	(/.f64 c (/.f64 (*.f64 (/.f64 b a) 1/2) (/.f64 -1/2 a)))
	46.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	47.5b	(.f64 (.f64 (*.f64 (/.f64 2 b) a) c) (/.f64 -1/2 a))
	54.9b	(.f64 (cbrt.f64 (pow.f64 (.f64 c (*.f64 (/.f64 2 b) a)) 3)) (/.f64 -1/2 a))
	53.8b	(pow.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 a c))) b)) (/.f64 -1/2 a)) 3) 1/3)

Compiler

Compiled 921 to 666 computations (27.7% saved)

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))
✓	0.1b	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
	0.3b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
	14.9b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 57 to 36 computations (36.8% saved)

series65.0ms (0.3%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	c	@	inf	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
12.0ms	c	@	-inf	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
10.0ms	a	@	-inf	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
8.0ms	a	@	inf	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
6.0ms	c	@	0	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`log-prod_binary64`
584×	`prod-diff_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`
240×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	283	21
2	3745	21

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

548×	`times-frac_binary64`
508×	`fma-def_binary64`
414×	`*-commutative_binary64`
400×	`associate-/r*_binary64`
359×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	692
1	384	525
2	1563	488
3	6111	472

Stop Event

1×	node limit

Counts

61 → 73

Calls

Call 1

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

Outputs
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(.f64 (.f64 2 (sqrt.f64 (/.f64 c a))) (/.f64 1 (sqrt.f64 -4)))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (.f64 2 (+.f64 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (.f64 (.f64 b b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 2 (.f64 (.f64 b b) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (/.f64 -1/4 (sqrt.f64 -4)))) (*.f64 -1/2 (/.f64 b a))))
(.f64 2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -1/8 (sqrt.f64 -4))) (/.f64 b (.f64 a -4)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 c (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (sqrt.f64 -4))))) (.f64 2 (+.f64 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (.f64 (.f64 b b) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 c (.f64 a (.f64 a 16)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (sqrt.f64 -4))))) (fma.f64 2 (.f64 (.f64 b b) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (/.f64 -1/4 (sqrt.f64 -4)))) (*.f64 -1/2 (/.f64 b a)))))
(fma.f64 2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 -1/8 (sqrt.f64 -4))) (/.f64 b (.f64 a -4)))) (.f64 (pow.f64 b 3) (.f64 -2 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) 1/2) 16) (neg.f64 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 1/32 (.f64 a (*.f64 c a)))))))
(.f64 4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))))
(*.f64 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) 4)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (.f64 4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b))
(fma.f64 4 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 b a)) (/.f64 c b))
(fma.f64 -1 (/.f64 b a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b)))
(fma.f64 2 (/.f64 (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -1/8) (pow.f64 b 3)) (fma.f64 4 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (/.f64 c b)))
(fma.f64 2 (/.f64 (.f64 (.f64 a (.f64 c c)) 1/2) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 b a)) (/.f64 c b)))
(fma.f64 2 (/.f64 (.f64 a (.f64 c c)) (/.f64 (pow.f64 b 3) 1/2)) (fma.f64 -1 (/.f64 b a) (/.f64 c b)))
(-.f64 (fma.f64 2 (/.f64 (.f64 a (.f64 c c)) (/.f64 (pow.f64 b 3) 1/2)) (/.f64 c b)) (/.f64 b a))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (.f64 4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (.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 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (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 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(fma.f64 2 (/.f64 (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -1/8) (pow.f64 b 3)) (+.f64 (fma.f64 4 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (/.f64 c b)) (/.f64 (.f64 2 (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 c (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/16 (.f64 (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 c 3)) (.f64 (.f64 1/4 c) (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -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 c (.f64 a (.f64 a 16)))) (fma.f64 1/4 (.f64 (.f64 a -4) (.f64 (.f64 (.f64 a (.f64 c c)) 1/2) c)) (.f64 (.f64 (.f64 (pow.f64 c 3) a) a) -1))) (pow.f64 b 5)) (/.f64 c b)) (fma.f64 2 (/.f64 (.f64 (.f64 a (.f64 c c)) 1/2) (pow.f64 b 3)) (.f64 -1 (/.f64 b a))))
(fma.f64 2 (/.f64 (.f64 a (.f64 c c)) (/.f64 (pow.f64 b 3) 1/2)) (fma.f64 2 (/.f64 (fma.f64 c (.f64 1/4 (.f64 a (.f64 1/2 (.f64 -4 (.f64 a (.f64 c c)))))) (fma.f64 (.f64 a (.f64 a (pow.f64 c 3))) -1 (.f64 1/8 (/.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 (*.f64 c a)))))) (pow.f64 b 5)) (fma.f64 -1 (/.f64 b a) (/.f64 c b))))
(-.f64 (fma.f64 2 (/.f64 (.f64 a (.f64 c c)) (/.f64 (pow.f64 b 3) 1/2)) (fma.f64 2 (/.f64 (fma.f64 c (.f64 1/4 (.f64 a (.f64 1/2 (.f64 -4 (.f64 a (.f64 c c)))))) (fma.f64 (/.f64 1/8 (.f64 a a)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) c) (neg.f64 (.f64 a (*.f64 a (pow.f64 c 3)))))) (pow.f64 b 5)) (/.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 c b)) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 c b) (.f64 1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 -4 (.f64 c c))) 1/4) (pow.f64 b 3)) (/.f64 c b))
(-.f64 (.f64 (/.f64 (.f64 (.f64 c c) 1/4) (pow.f64 b 3)) (.f64 a -4)) (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 c b) (fma.f64 1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))))))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a 16))) (/.f64 (.f64 (.f64 a (.f64 -4 (*.f64 c c))) 1/4) (pow.f64 b 3))) (/.f64 c b))
(-.f64 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) 16) (.f64 (/.f64 (.f64 (.f64 c c) 1/4) (pow.f64 b 3)) (.f64 a -4))) (/.f64 c b))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) 5/128) (pow.f64 b 7)) (fma.f64 -1 (/.f64 c b) (fma.f64 1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))))))))
(fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (pow.f64 b 7)) (-.f64 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a 16))) (/.f64 (.f64 (.f64 a (.f64 -4 (*.f64 c c))) 1/4) (pow.f64 b 3))) (/.f64 c b)))
(fma.f64 2 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (/.f64 (pow.f64 b 7) -5/2)) (-.f64 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) 16) (.f64 (/.f64 (.f64 (.f64 c c) 1/4) (pow.f64 b 3)) (*.f64 a -4))) (/.f64 c b)))

localize6.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.6b	(*.f64 (/.f64 a b) (/.f64 c 1/2))
✓	10.8b	(.f64 (.f64 (/.f64 a b) (/.f64 c 1/2)) (/.f64 -1/2 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`log-prod_binary64`
487×	`pow-prod-down_binary64`
315×	`pow2_binary64`
253×	`log-div_binary64`
250×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	247	26
2	3412	26

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (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

184 → 116

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)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.7b	(.f64 (/.f64 -1/2 b) (.f64 a (*.f64 c -4)))
✓	10.7b	(/.f64 (.f64 (/.f64 -1/2 b) (.f64 a (.f64 c -4))) (.f64 a -2))

Compiler

Compiled 45 to 30 computations (33.3% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log-prod_binary64`
366×	`pow2_binary64`
260×	`pow1/3_binary64`
253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	286	26
2	3999	26

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (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

171 → 103

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
✓	0.0b	(.f64 (.f64 a c) -4)
✓	0.1b	(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)
✓	0.3b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
✓	14.9b	(sqrt.f64 (.f64 (.f64 a c) -4))

Compiler

Compiled 66 to 34 computations (48.5% saved)

series31.0ms (0.2%)

Counts

4 → 48

Calls

30 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)
2.0ms	c	@	inf	(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)
2.0ms	a	@	inf	(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)
2.0ms	c	@	0	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
2.0ms	c	@	-inf	(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) a)

rewrite162.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`prod-diff_binary64`
639×	`log-prod_binary64`
322×	`pow2_binary64`
243×	`fma-def_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	243	49
2	3342	49

Stop Event

1×	node limit

Counts

4 → 314

Calls

Call 1

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

Outputs
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((#(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 (exp.f64 -4) (.f64 a c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (.f64 a c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (.f64 a c)))))))) (#(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 (.f64 16 (pow.f64 (.f64 a c) 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 (.f64 16 (pow.f64 (.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (.f64 a c)))))) (#(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))))))

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

924×	`times-frac_binary64`
682×	`associate-/l*_binary64`
557×	`unswap-sqr_binary64`
495×	`fma-def_binary64`
470×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1263
1	410	1059
2	1503	1018
3	6437	992
4	7923	992

Stop Event

1×	node limit

Counts

362 → 363

Calls

Call 1

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

eval772.0ms (4.1%)

Compiler: Compiled 26161 to 16752 computations (36% saved)

prune239.0ms (1.3%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	833	10	843
Fresh	13	11	24
Picked	1	0	1
Done	1	6	7
Total	848	27	875

Error

4.1b

Counts

875 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	54.3b	(.f64 (exp.f64 (log.f64 (.f64 (/.f64 a b) (+.f64 c c)))) (/.f64 -1/2 a))
	47.5b	(exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 a c))) b)) (/.f64 -1/2 a))))
	45.4b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)
	54.9b	(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 a b) (+.f64 c c)) 3)) (/.f64 -1/2 a))
	44.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	41.5b	(/.f64 (.f64 c -2) (-.f64 b (-.f64 (.f64 (/.f64 -1/2 b) (.f64 a (.f64 c -4))) b)))
▶	40.3b	(/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 -2 a))))
✓	34.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
✓	47.5b	(.f64 (.f64 (/.f64 a b) (/.f64 c 1/2)) (/.f64 -1/2 a))
✓	31.4b	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
	52.3b	(.f64 (/.f64 1 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (cbrt.f64 (.f64 a 2))))
✓	33.9b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	48.1b	(/.f64 (.f64 (.f64 a (+.f64 c c)) -1/2) (*.f64 b a))
▶	62.2b	(.f64 1/2 (.f64 2 (/.f64 b a)))
✓	40.7b	(/.f64 (neg.f64 c) b)
▶	44.1b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	46.4b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	45.4b	(.f64 (/.f64 1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
▶	44.5b	(/.f64 c (/.f64 (*.f64 (/.f64 b a) 1/2) (/.f64 -1/2 a)))
	46.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	45.6b	(.f64 (/.f64 a (/.f64 (.f64 b 1/2) c)) (/.f64 -1/2 a))
	46.9b	(/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a)))) (*.f64 a -2))
	52.0b	(/.f64 (.f64 c -2) (.f64 (/.f64 c b) (*.f64 2 a)))
	44.2b	(.f64 (/.f64 (.f64 (/.f64 -1/2 b) a) a) (/.f64 (*.f64 c -4) -2))
▶	47.1b	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
	53.8b	(pow.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 a c))) b)) (/.f64 -1/2 a)) 3) 1/3)
✓	46.3b	(/.f64 (neg.f64 b) a)

Compiler

Compiled 751 to 537 computations (28.5% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.2b	(/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 -2 a))))
✓	4.9b	(.f64 (/.f64 c b) (.f64 -2 a))

Compiler

Compiled 48 to 26 computations (45.8% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log-prod_binary64`
336×	`pow2_binary64`
257×	`prod-diff_binary64`
248×	`pow-unpow_binary64`
237×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	257	30
2	3388	30

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-*l/_binary64`
714×	`associate-/r/_binary64`
517×	`unswap-sqr_binary64`
503×	`associate-*r/_binary64`
343×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1451
1	160	1427
2	596	1387
3	3331	1383

Stop Event

1×	node limit

Counts

153 → 98

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 b a))
✓	0.2b	(.f64 1/2 (.f64 2 (/.f64 b a)))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
671×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	1844	11

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

71 → 47

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 b a) 1/2)
✓	11.5b	(/.f64 (*.f64 (/.f64 b a) 1/2) (/.f64 -1/2 a))

Compiler

Compiled 39 to 21 computations (46.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`log-prod_binary64`
416×	`exp-prod_binary64`
292×	`pow-prod-down_binary64`
251×	`pow2_binary64`
201×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	201	17
2	2774	17

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
5×	`sub-neg_binary64`
4×	`*-commutative_binary64`
4×	`distribute-rgt-in_binary64`
4×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	13	240
2	19	240
3	24	240
4	27	240
5	31	240
6	35	240
7	51	240
8	81	240
9	82	240

Stop Event

1×

saturated

Counts

158 → 114

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
✓	14.9b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series16.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log-prod_binary64`
455×	`pow-prod-down_binary64`
362×	`fma-def_binary64`
331×	`pow2_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	261	39
2	3481	39

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
11×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	345
1	33	345
2	52	327
3	64	327
4	66	327
5	67	327

Stop Event

1×

saturated

Counts

161 → 143

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a)))
✓	0.1b	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
✓	0.1b	(-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))))
✓	0.1b	(.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))

Compiler

Compiled 62 to 37 computations (40.3% saved)

series50.0ms (0.3%)

Counts

4 → 38

Calls

33 calls:

Time	Variable		Point	Expression
19.0ms	a	@	-inf	(.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))
6.0ms	a	@	-inf	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
4.0ms	a	@	-inf	(-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))))
2.0ms	c	@	inf	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
1.0ms	a	@	inf	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary64`
512×	`prod-diff_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	302	57
2	3924	57

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
799×	`associate-/l*_binary64`
673×	`associate-/r*_binary64`
319×	`associate-*l/_binary64`
286×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	1737
1	607	1414
2	2427	1367
3	7978	1367

Stop Event

1×	node limit

Counts

221 → 253

Calls

Call 1

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

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

eval457.0ms (2.4%)

Compiler: Compiled 13807 to 9150 computations (33.7% saved)

prune220.0ms (1.2%)

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	640	15	655
Fresh	5	11	16
Picked	0	1	1
Done	2	8	10
Total	647	35	682

Error

0.0b

Counts

682 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	54.3b	(.f64 (exp.f64 (log.f64 (.f64 (/.f64 a b) (+.f64 c c)))) (/.f64 -1/2 a))
	40.3b	(.f64 (/.f64 c 1) (/.f64 -2 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 -2 a)))))
	45.4b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)
	41.9b	(.f64 (/.f64 c b) (-.f64 -1 (.f64 a (/.f64 c (*.f64 b b)))))
	54.9b	(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 a b) (+.f64 c c)) 3)) (/.f64 -1/2 a))
✓	40.3b	(/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 -2 a))))
✓	34.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
	46.7b	(/.f64 (-.f64 (.f64 b b) (.f64 a (.f64 -4 c))) (.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))
✓	47.5b	(.f64 (.f64 (/.f64 a b) (/.f64 c 1/2)) (/.f64 -1/2 a))
✓	33.9b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	62.2b	(/.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	46.9b	(/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a)))) (*.f64 a -2))
	44.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2)))
	52.0b	(/.f64 (.f64 c -2) (.f64 (/.f64 c b) (*.f64 2 a)))
	52.0b	(/.f64 (.f64 c -2) (/.f64 (.f64 a (*.f64 -4 c)) (/.f64 b -1/2)))
	44.1b	(/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2))
	63.2b	(/.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))
	44.7b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
	44.2b	(.f64 (/.f64 (.f64 (/.f64 -1/2 b) a) a) (/.f64 (*.f64 c -4) -2))
✓	47.1b	(/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
	62.2b	(/.f64 b a)
	48.8b	(/.f64 c (sqrt.f64 (pow.f64 (*.f64 a (/.f64 (/.f64 b a) -1)) 2)))
	62.2b	(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))
	49.2b	(.f64 (+.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
	41.5b	(/.f64 (.f64 c -2) (-.f64 b (-.f64 (/.f64 (.f64 a (*.f64 -4 c)) (/.f64 b -1/2)) b)))
✓	46.3b	(/.f64 (neg.f64 b) a)
	48.1b	(/.f64 (.f64 (.f64 a (+.f64 c c)) -1/2) (*.f64 b a))
✓	40.7b	(/.f64 (neg.f64 c) b)
✓	44.1b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	46.4b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	62.2b	(/.f64 1 (/.f64 a b))
	45.4b	(.f64 (/.f64 1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
✓	44.5b	(/.f64 c (/.f64 (*.f64 (/.f64 b a) 1/2) (/.f64 -1/2 a)))
	46.6b	(-.f64 (/.f64 c b) (/.f64 b a))
	45.6b	(.f64 (/.f64 a (/.f64 (.f64 b 1/2) c)) (/.f64 -1/2 a))

Compiler

Compiled 518 to 364 computations (29.7% saved)

regimes1.1s (5.6%)

Counts

76 → 5

Calls

Call 1

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

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

Calls

4 calls:

422.0ms	a
277.0ms	c
200.0ms	b
142.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Results

Error	Segments	Branch
19.5b	10	`a`
6.8b	5	`b`
24.5b	6	`c`
14.0b	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 1047 to 620 computations (40.8% saved)

bsearch511.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
148.0ms	5.787492751027935e+81	7.191144768802466e+84
44.0ms	1.7900162886927156e-272	1.733674809421734e-270
27.0ms	-3.5624957994618966e-290	-1.122915930992359e-290
291.0ms	-2.336297960033366e+24	-1030222025751027000.0

Compiler

Compiled 1047 to 755 computations (27.9% saved)

regimes927.0ms (4.9%)

Counts

53 → 5

Calls

Call 1

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

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

Calls

4 calls:

370.0ms	a
254.0ms	c
201.0ms	b
79.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Results

Error	Segments	Branch
25.9b	7	`a`
8.9b	5	`b`
29.4b	5	`c`
14.0b	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 644 to 375 computations (41.8% saved)

bsearch375.0ms (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
113.0ms	5.787492751027935e+81	7.191144768802466e+84
41.0ms	1.7900162886927156e-272	1.733674809421734e-270
34.0ms	-3.5624957994618966e-290	-1.122915930992359e-290
187.0ms	-3.503392325488546e-69	-7.529114573712174e-71

Compiler

Compiled 1011 to 727 computations (28.1% saved)

regimes467.0ms (2.5%)

Counts

48 → 3

Calls

Call 1

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

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

Calls

4 calls:

154.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
119.0ms	c
90.0ms	a
84.0ms	b

Results

Error	Segments	Branch
29.5b	3	`a`
10.1b	3	`b`
31.6b	4	`c`
14.0b	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 578 to 337 computations (41.7% saved)

bsearch237.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
104.0ms	5.787492751027935e+81	7.191144768802466e+84
132.0ms	-3.503392325488546e-69	-7.529114573712174e-71

Compiler

Compiled 555 to 391 computations (29.5% saved)

regimes261.0ms (1.4%)

Counts

41 → 3

Calls

Call 1

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

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

Calls

3 calls:

106.0ms	c
76.0ms	a
65.0ms	b

Results

Error	Segments	Branch
29.5b	3	`a`
10.2b	3	`b`
31.6b	4	`c`

Compiler

Compiled 455 to 267 computations (41.3% saved)

bsearch198.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	5.787492751027935e+81	7.191144768802466e+84
95.0ms	-3.503392325488546e-69	-7.529114573712174e-71

Compiler

Compiled 540 to 376 computations (30.4% saved)

regimes944.0ms (5%)

Counts

40 → 3

Calls

Call 1

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

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

Calls

3 calls:

727.0ms	a
123.0ms	c
81.0ms	b

Results

Error	Segments	Branch
31.3b	11	`a`
12.4b	3	`b`
34.3b	5	`c`

Compiler

Compiled 439 to 258 computations (41.2% saved)

bsearch234.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	3.578855098262083e-64	9.340204925780078e-63
131.0ms	-3.503392325488546e-69	-7.529114573712174e-71

Compiler

Compiled 432 to 320 computations (25.9% saved)

regimes934.0ms (4.9%)

Counts

38 → 3

Calls

Call 1

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

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

Calls

3 calls:

708.0ms	a
124.0ms	c
88.0ms	b

Results

Error	Segments	Branch
31.4b	11	`a`
12.4b	3	`b`
34.5b	5	`c`

Compiler

Compiled 409 to 240 computations (41.3% saved)

bsearch174.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	3.578855098262083e-64	9.340204925780078e-63
100.0ms	-3.503392325488546e-69	-7.529114573712174e-71

Compiler

Compiled 362 to 271 computations (25.1% saved)

regimes297.0ms (1.6%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

3 calls:

162.0ms	a
90.0ms	c
34.0ms	b

Results

Error	Segments	Branch
36.3b	4	`a`
24.6b	2	`b`
37.9b	5	`c`

Compiler

Compiled 346 to 198 computations (42.8% saved)

bsearch185.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
184.0ms	-7.055550237231443e-266	-4.298158151089885e-274

Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes13.0ms (0.1%)

Accuracy

Total -21.8b remaining (-53.6%)

Threshold costs -21.8b (-53.6%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	c
4.0ms	b
4.0ms	a

Results

Error	Segments	Branch
40.7b	1	`a`
40.7b	1	`b`
40.7b	1	`c`

Compiler

Compiled 26 to 15 computations (42.3% saved)

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	507
1	116	507
2	141	507
3	167	507
4	180	507
5	186	507
6	188	507

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -1050000000000000000) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b -2067347105091663360/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (if (<=.f64 b 175415652205199968/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 (+.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a)) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b -2067347105091663360/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (if (<=.f64 b 175415652205199968/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 (+.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a)) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (.f64 a -2)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (neg.f64 c) b) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -8575876330031999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 c) b)
(/.f64 b a)

Outputs
(if (<=.f64 b -1050000000000000000) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b -2067347105091663360/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (if (<=.f64 b 175415652205199968/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 (+.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a)) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (<=.f64 b -1050000000000000000) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b -4037787314632155/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (if (<=.f64 b 5481739131412499/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (.f64 (+.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a)) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 c a))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b -2067347105091663360/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (if (<=.f64 b 175415652205199968/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 (+.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a)) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b -4037787314632155/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 c a))))) (.f64 2 a)) (if (<=.f64 b 5481739131412499/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (.f64 (+.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a)) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 c a))))) (.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 c a))))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b 5799999999999999922559153401667412015730818505756822688520333141890572576412925952) (.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (.f64 a -2)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (.f64 c -2) (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 -2 a)))) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (.f64 -2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (neg.f64 c) b) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -4724570745892973/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (neg.f64 c) b) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 -2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -8575876330031999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 c) b)
(/.f64 b a)

Compiler

Compiled 368 to 238 computations (35.3% saved)

soundness1.9s (9.7%)

Algorithm

9×	egg-herbie

Rules

1217×	`fma-neg_binary64`
1217×	`fma-neg_binary64`
1217×	`fma-neg_binary64`
1217×	`fma-neg_binary64`
846×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	22
0	92	944
1	264	850
2	946	816
3	6316	806
0	92	944
1	264	850
2	946	816
3	6316	806
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	22
0	92	944
1	264	850
2	946	816
3	6316	806
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	22
0	146	2203
1	440	2105
2	1480	1988
3	7141	1952
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	22
0	146	2203
1	440	2105
2	1480	1988
3	7141	1952

Stop Event

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

Compiler

Compiled 1343 to 957 computations (28.7% saved)

end170.0ms (0.9%)

Compiler: Compiled 344 to 186 computations (45.9% saved)

Iter	Nodes	Cost
0	14	744
1	26	744
2	50	744
3	85	744
4	122	744
5	141	744
6	149	744
7	170	744
8	256	744
9	356	744

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	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	14	744
1	26	744
2	50	744
3	85	744
4	122	744
5	141	744
6	149	744
7	170	744
8	256	744
9	356	744

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	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	14	744
1	26	744
2	50	744
3	85	744
4	122	744
5	141	744
6	149	744
7	170	744
8	256	744
9	356	744

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	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