Details

analyze708.0ms (10.1%)

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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
18.7%	76.5%	4.8%	7
28.1%	66.3%	5.6%	8
34.7%	55.4%	9.9%	9
36.1%	51.1%	12.8%	10
42.1%	42.4%	15.5%	11
47.5%	33.8%	18.7%	12
48.8%	30.7%	20.6%	13
51.8%	25.6%	22.5%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.9s (27.5%)

Results

628.0ms	5382×	body	128	valid
521.0ms	1160×	body	2048	valid
280.0ms	761×	body	1024	valid
216.0ms	394×	body	4096	valid
125.0ms	1054×	body	128	invalid
112.0ms	378×	body	512	valid
37.0ms	181×	body	256	valid

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess84.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

508×	`times-frac_binary64`
390×	`div-sub_binary64`
354×	`fma-def_binary64`
351×	`fma-neg_binary64`
312×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	65	72
2	112	72
3	222	72
4	365	72
5	620	72
6	1057	72
7	1768	72
8	4025	72
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_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c))) a) b_2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 c) (*.f64 a a))) a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) c)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) c)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a))) c) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c))) c) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
361×	`div-sub_binary64`
341×	`fma-def_binary64`
313×	`associate-/l*_binary64`
224×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	23	18
2	42	18
3	77	18
4	123	18
5	218	18
6	370	18
7	586	18
8	948	18
9	1471	18
10	2000	18
11	3220	18
12	4095	18
13	4427	18
14	4435	18
15	4443	18
16	4469	18
17	4485	18
18	4521	18
19	4553	18
20	4565	18

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

31.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	31.5b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 58 to 30 computations (48.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	18.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series40.0ms (0.6%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
11.0ms	a	@	0	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
3.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
2.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
2.0ms	c	@	inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
2.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite87.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`fma-def_binary64`
338×	`fma-neg_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
159×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	239	55
2	3653	55

Stop Event

1×	node limit

Counts

4 → 313

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (.f64 a c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 (neg.f64 (.f64 a c)) 1 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (/.f64 1 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4)) (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (fma.f64 b_2 b_2 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (neg.f64 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (neg.f64 (.f64 a c)) 3)) (+.f64 (pow.f64 b_2 4) (-.f64 (.f64 (neg.f64 (.f64 a c)) (neg.f64 (.f64 a c))) (.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3) (pow.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2) (-.f64 (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 4) (.f64 (neg.f64 (.f64 a c)) (neg.f64 (.f64 a c)))) (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c)))) (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 a 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fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (.f64 a a))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 (.f64 a a))) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 a)) (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 1))))))

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

738×	`times-frac_binary64`
492×	`associate-/l*_binary64`
401×	`associate-/r*_binary64`
360×	`fma-def_binary64`
133×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	2203
1	392	2175
2	1383	2133

Stop Event

1×	node limit

Counts

409 → 388

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (*.f64 c a)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5))) (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(*.f64 -1 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) b_2)
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(-.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) b_2)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) b_2)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (+.f64 b_2 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(*.f64 -2 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (+.f64 (/.f64 b_2 a) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))) (.f64 2 (/.f64 b_2 a)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))) (.f64 2 (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))

Outputs
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))))
(fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (*.f64 c (neg.f64 a))))
(fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (sqrt.f64 (.f64 c (neg.f64 a))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
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(fma.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) -1/8 (fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (fma.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)) (sqrt.f64 (.f64 c (neg.f64 a))))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (/.f64 (.f64 1/2 (.f64 c a)) b_2))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3))))
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(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)) 1/16)))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
(-.f64 (/.f64 (.f64 1/2 (.f64 c a)) b_2) b_2)
(fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (neg.f64 b_2))
(-.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))) b_2)
(fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (-.f64 (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3)) b_2))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)) a)) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3)))) b_2)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)) 1/16)))) b_2)
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (/.f64 (.f64 1/2 (.f64 c a)) b_2))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3))))
(+.f64 b_2 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) a) -1/8)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)) 1/16)))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (/.f64 (.f64 1/2 (.f64 c a)) b_2))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3))))
(+.f64 b_2 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) a) -1/8)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)) 1/16)))))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(-.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) b_2)
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) b_2)
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (-.f64 (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (+.f64 b_2 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)))))
(-.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a))))) (+.f64 b_2 (/.f64 (.f64 1/8 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 c (neg.f64 a)))) (fma.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) b_2))
(-.f64 (fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))) (fma.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)
(.f64 (/.f64 (.f64 c -1/2) b_2) a)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))))
(+.f64 (.f64 (/.f64 c (/.f64 b_2 a)) -1/2) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) -1/8))
(fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) a) -1/8))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))))))
(-.f64 (.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) -1/16) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (*.f64 c c)) (pow.f64 b_2 3))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) -1/8)))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
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(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) -1/8)))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (pow.f64 a 3)) -5/128) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (pow.f64 a 3)) -5/128 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) -1/8))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 c -1/2) b_2)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))))
(-.f64 (/.f64 -1/2 (/.f64 b_2 c)) (/.f64 (.f64 1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) -1/8))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 1/8 (*.f64 c c)) (/.f64 (pow.f64 b_2 3) a))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) -1/8)))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (pow.f64 a 3)) -5/128) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (pow.f64 a 3)) -5/128 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) -1/8))))

prune292.0ms (4.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	379	9	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	380	9	389

Error

4.7b

Counts

389 → 9

Alt Table

Status	Error	Program
▶	31.6b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	45.2b	(/.f64 (*.f64 -2 b_2) a)
	45.2b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (.f64 b_2 b_2))) b_2) a)
	32.9b	(fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))
	33.6b	(/.f64 (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) a)
	32.7b	(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
	40.3b	(/.f64 (*.f64 c -1/2) b_2)
	31.6b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	31.8b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))

Compiler

Compiled 9575 to 2932 computations (69.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
✓	1.0b	(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
✓	18.9b	(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
✓	53.9b	(fma.f64 a (neg.f64 c) (*.f64 a c))

series27.0ms (0.4%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
9.0ms	b_2	@	0	(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
1.0ms	a	@	-inf	(fma.f64 a (neg.f64 c) (*.f64 a c))
1.0ms	c	@	inf	(fma.f64 a (neg.f64 c) (*.f64 a c))
1.0ms	a	@	inf	(fma.f64 a (neg.f64 c) (*.f64 a c))
1.0ms	a	@	0	(fma.f64 a (neg.f64 c) (*.f64 a c))

rewrite67.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
367×	`fma-def_binary64`
217×	`fma-neg_binary64`
195×	`expm1-udef_binary64`
195×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	77
1	233	57
2	3104	57

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

Inputs
(fma.f64 a (neg.f64 c) (*.f64 a c))
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a c) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 a (+.f64 c c)))) (cbrt.f64 (exp.f64 (.f64 a (+.f64 c c)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 a (+.f64 c c))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a c) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (+.f64 c c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (+.f64 c c))) (cbrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 2)) (cbrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (+.f64 c c))) (sqrt.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (+.f64 c c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (+.f64 c c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (+.f64 c c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a c))) (+.f64 1 (expm1.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (+.f64 c c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (+.f64 c c))) 1))))))
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c)))) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 a (+.f64 c c)))) 1/4) (sqrt.f64 b_2)) (+.f64 (neg.f64 b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 a (+.f64 c c))))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))) b_2)) 1))))))

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

416×	`times-frac_binary64`
278×	`associate-/l*_binary64`
263×	`associate-r_binary64`
234×	`associate-/r*_binary64`
223×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	1573
1	272	1557
2	879	1533
3	4610	1533

Stop Event

1×	node limit

Counts

291 → 243

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(sqrt.f64 (neg.f64 (*.f64 c a)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5))) (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(*.f64 -1 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) b_2)
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(-.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) b_2)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) b_2)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (+.f64 b_2 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(*.f64 -2 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))

Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))))
(fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (*.f64 c (neg.f64 a))))
(fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (-.f64 (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))) (/.f64 (.f64 1/8 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)) -1/8)))
(fma.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) -1/8 (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) (sqrt.f64 (.f64 c (neg.f64 a)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5))) (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)) (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))))) (/.f64 (.f64 1/8 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)) (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) -1/8))
(fma.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)) (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(+.f64 b_2 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2))
(fma.f64 (*.f64 a (/.f64 c b_2)) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)))))
(+.f64 b_2 (fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 c a))))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (/.f64 (.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))))))
(-.f64 b_2 (fma.f64 1/2 (.f64 a (/.f64 c b_2)) (fma.f64 1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (/.f64 (.f64 (pow.f64 a 3) (*.f64 1/16 (pow.f64 c 3))) (pow.f64 b_2 5)))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
(fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (neg.f64 b_2))
(-.f64 (*.f64 1/2 (/.f64 a (/.f64 b_2 c))) b_2)
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (neg.f64 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)))) b_2)
(-.f64 (/.f64 (.f64 (.f64 a (.f64 c a)) (.f64 c 1/8)) (pow.f64 b_2 3)) (fma.f64 (*.f64 a (/.f64 c b_2)) -1/2 b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (/.f64 (.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))))) b_2)
(-.f64 (fma.f64 1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (/.f64 (.f64 (pow.f64 a 3) (.f64 1/16 (pow.f64 c 3))) (pow.f64 b_2 5))) (fma.f64 (*.f64 a (/.f64 c b_2)) -1/2 b_2))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(+.f64 b_2 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2))
(fma.f64 (*.f64 a (/.f64 c b_2)) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)))))
(+.f64 b_2 (fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 c a))))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (/.f64 (.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))))))
(-.f64 b_2 (fma.f64 1/2 (.f64 a (/.f64 c b_2)) (fma.f64 1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (/.f64 (.f64 (pow.f64 a 3) (*.f64 1/16 (pow.f64 c 3))) (pow.f64 b_2 5)))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(+.f64 b_2 (*.f64 (/.f64 a (/.f64 b_2 c)) -1/2))
(fma.f64 (*.f64 a (/.f64 c b_2)) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)))))
(+.f64 b_2 (fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 c a))))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (/.f64 (.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))))))
(-.f64 b_2 (fma.f64 1/2 (.f64 a (/.f64 c b_2)) (fma.f64 1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (/.f64 (.f64 (pow.f64 a 3) (*.f64 1/16 (pow.f64 c 3))) (pow.f64 b_2 5)))))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(*.f64 c (neg.f64 a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(-.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) b_2)
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))) b_2)
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (-.f64 (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (+.f64 b_2 (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)))))
(-.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a))))) (+.f64 b_2 (/.f64 (.f64 1/8 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 c (neg.f64 a)))) (fma.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) b_2))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (fma.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)
(*.f64 (/.f64 a (/.f64 b_2 c)) -1/2)
(.f64 (.f64 a (/.f64 c b_2)) -1/2)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(+.f64 (.f64 (/.f64 a (/.f64 b_2 c)) -1/2) (.f64 (/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b_2 3)) -1/8))
(fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 c a)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16) (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)))))
(fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (*.f64 c a))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 4))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16) (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (/.f64 (.f64 (*.f64 5/128 (pow.f64 c 4)) (pow.f64 a 4)) (pow.f64 b_2 7)))))
(-.f64 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 c a)))))) (.f64 5/128 (*.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(+.f64 (.f64 1/2 (/.f64 c (/.f64 b_2 a))) (.f64 b_2 -2))
(fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (*.f64 b_2 -2))
(fma.f64 1/2 (.f64 a (/.f64 c b_2)) (.f64 b_2 -2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))) (*.f64 b_2 -2))
(fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (.f64 b_2 -2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 a (/.f64 c b_2)) (/.f64 (.f64 (.f64 a (.f64 c a)) (*.f64 c 1/8)) (pow.f64 b_2 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) (*.f64 2 b_2))
(+.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))) (.f64 b_2 -2))
(+.f64 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (/.f64 (.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)))) (fma.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (*.f64 b_2 -2)))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 a (/.f64 c b_2)) (fma.f64 1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (/.f64 (.f64 (pow.f64 a 3) (*.f64 1/16 (pow.f64 c 3))) (pow.f64 b_2 5)))))
(fma.f64 1/2 (.f64 a (/.f64 c b_2)) (fma.f64 1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (*.f64 b_2 -2))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)
(*.f64 (/.f64 a (/.f64 b_2 c)) -1/2)
(.f64 (.f64 a (/.f64 c b_2)) -1/2)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(+.f64 (.f64 (/.f64 a (/.f64 b_2 c)) -1/2) (.f64 (/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b_2 3)) -1/8))
(fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 c a)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16) (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)))))
(fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (*.f64 c a))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 4))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16) (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (/.f64 (.f64 (*.f64 5/128 (pow.f64 c 4)) (pow.f64 a 4)) (pow.f64 b_2 7)))))
(-.f64 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 c a)))))) (.f64 5/128 (*.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)
(*.f64 (/.f64 a (/.f64 b_2 c)) -1/2)
(.f64 (.f64 a (/.f64 c b_2)) -1/2)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(+.f64 (.f64 (/.f64 a (/.f64 b_2 c)) -1/2) (.f64 (/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b_2 3)) -1/8))
(fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 c a)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16) (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)))))
(fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (*.f64 c a))))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b_2 7))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 4))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16) (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (/.f64 (.f64 (*.f64 5/128 (pow.f64 c 4)) (pow.f64 a 4)) (pow.f64 b_2 7)))))
(-.f64 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 (.f64 a (/.f64 c b_2)) -1/2 (/.f64 (.f64 c -1/8) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 c a)))))) (.f64 5/128 (*.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)))))

prune133.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	243	9	252

Error

4.7b

Counts

252 → 9

Alt Table

Status	Error	Program
✓	31.6b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	45.2b	(/.f64 (*.f64 -2 b_2) a)
	45.2b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (.f64 b_2 b_2))) b_2) a)
	32.9b	(fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))
	33.6b	(/.f64 (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) a)
	32.7b	(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
	40.3b	(/.f64 (*.f64 c -1/2) b_2)
▶	31.6b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	31.8b	(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (/.f64 1 a)))

Compiler

Compiled 6418 to 1899 computations (70.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	18.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series143.0ms (2%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
67.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
40.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
23.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
8.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
2.0ms	c	@	0	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

323×	`fma-neg_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
139×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	277	18
2	3950	18

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) -1) (pow.f64 (sqrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a)) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 2) (/.f64 a (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) 3/2) (pow.f64 b_2 3)) (*.f64 a (+.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) (sqrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) 2)) (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (log.f64 a)))))))

simplify39.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
363×	`times-frac_binary64`
239×	`associate-/l*_binary64`
212×	`associate-r_binary64`
206×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	654
1	207	642
2	703	624
3	3907	624

Stop Event

1×	node limit

Counts

66 → 69

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (+.f64 (/.f64 b_2 a) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))) (.f64 2 (/.f64 b_2 a)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))) (.f64 2 (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) -1/8))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16) (fma.f64 (/.f64 c b_2) 1/2 (.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a))))
(fma.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))))
(fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16)))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (pow.f64 a 3)) -5/128) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 (/.f64 c b_2) 1/2 (.f64 1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))))
(fma.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) -5/128 (fma.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))))
(fma.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) -5/128 (fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (/.f64 b_2 a))
(+.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (-.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 b_2 b_2) a) (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 b_2 a)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b_2 a) (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)) (/.f64 b_2 a))
(fma.f64 (/.f64 1/2 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 (/.f64 b_2 a) b_2) (-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (+.f64 (/.f64 b_2 a) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (.f64 1/2 (/.f64 (/.f64 (.f64 b_2 b_2) a) (sqrt.f64 (.f64 c (neg.f64 a)))))) (+.f64 (/.f64 b_2 a) (.f64 1/8 (/.f64 (/.f64 (pow.f64 b_2 4) a) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b_2 a) (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a)) (fma.f64 1/8 (/.f64 (pow.f64 b_2 4) (.f64 a (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3))) (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) -1/8))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16) (fma.f64 (/.f64 c b_2) 1/2 (.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a))))
(fma.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))))
(fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16)))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (pow.f64 a 3)) -5/128) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 (/.f64 c b_2) 1/2 (.f64 1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))))
(fma.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) -5/128 (fma.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))))
(fma.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) -5/128 (fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) -2)
(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
(+.f64 (/.f64 (.f64 1/2 c) b_2) (.f64 (/.f64 b_2 a) -2))
(fma.f64 (/.f64 c b_2) 1/2 (*.f64 (/.f64 b_2 a) -2))
(fma.f64 (/.f64 b_2 a) -2 (*.f64 (/.f64 1/2 b_2) c))
(-.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))) (.f64 2 (/.f64 b_2 a)))
(+.f64 (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)))) (.f64 (/.f64 b_2 a) -2))
(fma.f64 (/.f64 c b_2) 1/2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 (/.f64 b_2 a) -2)))
(fma.f64 1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (fma.f64 (/.f64 b_2 a) -2 (.f64 (/.f64 1/2 b_2) c)))
(fma.f64 (/.f64 c b_2) 1/2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 1/8 a) (.f64 (/.f64 b_2 a) -2)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))) (.f64 2 (/.f64 b_2 a)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3))))) (*.f64 (/.f64 b_2 a) -2))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 (/.f64 c b_2) 1/2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 (/.f64 b_2 a) -2))))
(fma.f64 1/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (fma.f64 (/.f64 b_2 a) -2 (.f64 (/.f64 1/2 b_2) c))))
(fma.f64 1/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (/.f64 c b_2) 1/2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (.f64 1/8 a) (.f64 (/.f64 b_2 a) -2))))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) -1/8))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16) (fma.f64 (/.f64 c b_2) 1/2 (.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a))))
(fma.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))))))
(fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16)))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(neg.f64 (fma.f64 5/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (pow.f64 a 3)) -5/128) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 (/.f64 c b_2) 1/2 (.f64 1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))))
(fma.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) -5/128 (fma.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))))
(fma.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (pow.f64 a 3))) -5/128 (fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16))))

prune239.0ms (3.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	384	2	386
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	385	10	395

Error

4.7b

Counts

395 → 10

Alt Table

Status	Error	Program
	45.2b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (.f64 b_2 b_2))) b_2) a)
	51.3b	(exp.f64 (-.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (log.f64 a)))
✓	31.6b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	45.2b	(/.f64 (*.f64 -2 b_2) a)
▶	31.8b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
	32.9b	(fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))
	33.6b	(/.f64 (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) a)
	32.7b	(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
	40.3b	(/.f64 (*.f64 c -1/2) b_2)
✓	31.6b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)

Compiler

Compiled 10136 to 3568 computations (64.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a)
✓	1.0b	(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
✓	4.8b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
✓	18.9b	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))

series24.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	b_2	@	inf	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
2.0ms	a	@	inf	(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
1.0ms	c	@	inf	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
1.0ms	a	@	inf	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
1.0ms	a	@	-inf	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

357×	`fma-def_binary64`
236×	`fma-neg_binary64`
207×	`expm1-udef_binary64`
207×	`log1p-udef_binary64`
137×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	249	44
2	3943	44

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
(/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 a) (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) (+.f64 (/.f64 b_2 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (.f64 b_2 a)) (/.f64 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) 3) (pow.f64 (/.f64 b_2 a) 3)) (/.f64 1 (fma.f64 (/.f64 b_2 a) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (+.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) 2) (/.f64 1 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)) (sqrt.f64 (/.f64 b_2 a))) (-.f64 (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)) (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 a a) (fma.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 b_2 a) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a))) (-.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) 3) (pow.f64 (/.f64 b_2 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (.f64 b_2 a)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) 3) (pow.f64 (/.f64 b_2 a) 3)) (fma.f64 (/.f64 b_2 a) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) 2) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (.f64 b_2 a))) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) 3) (pow.f64 (/.f64 b_2 a) 3))) (neg.f64 (fma.f64 (/.f64 b_2 a) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a) 2)) (neg.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 a (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) b_2)) (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) a) (.f64 b_2 a)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (/.f64 a b_2) a) (.f64 a (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 a b_2) (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) 1)) (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (/.f64 a b_2) a) (.f64 a (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (neg.f64 (.f64 a (neg.f64 b_2)))) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 a (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (neg.f64 b_2))) (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) a (neg.f64 (.f64 a (neg.f64 b_2)))) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) b_2)) (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) a (.f64 b_2 a)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 a b_2) (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) 1)) (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (.f64 a (neg.f64 b_2))) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (neg.f64 b_2))) (.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) a (.f64 a (neg.f64 b_2))) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (neg.f64 b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) 3) (pow.f64 (/.f64 b_2 a) 3)) (+.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a)) (-.f64 (pow.f64 (/.f64 b_2 a) 2) (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (.f64 a (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (.f64 b_2 a)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(sqrt.f64 (.f64 c a))) a)) (sqrt.f64 (/.f64 b_2 a))) (+.f64 (/.f64 b_2 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)) (sqrt.f64 (/.f64 b_2 a))) (-.f64 (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)) (sqrt.f64 (/.f64 b_2 a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)) (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) b_2) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c a) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b_2 b_2) 1) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 b_2 b_2) (.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b_2 b_2 (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b_2 b_2 (.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b_2 b_2 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 2) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b_2 b_2) 3) (pow.f64 (.f64 c a) 3)) (fma.f64 (.f64 b_2 b_2) (.f64 b_2 b_2) (-.f64 (pow.f64 (.f64 c a) 2) (.f64 (.f64 b_2 b_2) (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 b_2) (pow.f64 (.f64 c a) 2)) (fma.f64 b_2 b_2 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b_2 b_2 (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 c a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)) (cbrt.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a))) (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)) (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (hypot.f64 b_2 (sqrt.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) 1) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) 1) (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c a)) 1/4) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (fma.f64 b_2 b_2 (.f64 c a))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (hypot.f64 b_2 (sqrt.f64 (.f64 c a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) a)) 1))))))

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

804×	`times-frac_binary64`
491×	`associate-/l*_binary64`
421×	`associate-/r*_binary64`
318×	`fma-def_binary64`
172×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	2074
1	363	2050
2	1271	2012

Stop Event

1×	node limit

Counts

318 → 294

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (*.f64 c a)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5))) (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(*.f64 -1 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) b_2)
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (+.f64 (/.f64 b_2 a) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))) (.f64 2 (/.f64 b_2 a)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))) (.f64 2 (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(neg.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(neg.f64 (+.f64 (.f64 5/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a)))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b_2 6) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5)))) (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a)))))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 3)))))
(/.f64 b_2 a)
(-.f64 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(*.f64 -1 (/.f64 b_2 a))
(-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))) (/.f64 b_2 a))
(/.f64 b_2 a)
(-.f64 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(/.f64 b_2 a)
(-.f64 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))

Outputs
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))))
(fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (*.f64 c (neg.f64 a))))
(fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (-.f64 (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))) (/.f64 (.f64 1/8 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (/.f64 (.f64 -1/8 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3))))
(fma.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 3)) -1/8 (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2) (sqrt.f64 (.f64 a (neg.f64 c)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 c a))) 5))) (+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (.f64 c a))))))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)) (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))))) (/.f64 (.f64 1/8 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 5)) (fma.f64 1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 (.f64 -1/8 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)))
(fma.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 5)) (fma.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(+.f64 b_2 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (/.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 c c)) (*.f64 a a)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3))))))
(-.f64 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 b_2) (fma.f64 1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (.f64 (/.f64 (.f64 1/16 (pow.f64 c 3)) (pow.f64 b_2 5)) (pow.f64 a 3))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
(-.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) b_2)
(-.f64 (/.f64 (*.f64 1/2 a) (/.f64 b_2 c)) b_2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))) b_2)
(-.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))) b_2)
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (-.f64 (/.f64 1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 c c)) (*.f64 a a))) b_2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))) b_2)
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3))))) b_2)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (.f64 (/.f64 (.f64 1/16 (pow.f64 c 3)) (pow.f64 b_2 5)) (pow.f64 a 3)))) b_2)
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(+.f64 b_2 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (/.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 c c)) (*.f64 a a)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3))))))
(-.f64 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 b_2) (fma.f64 1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (.f64 (/.f64 (.f64 1/16 (pow.f64 c 3)) (pow.f64 b_2 5)) (pow.f64 a 3))))
b_2
(-.f64 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 b_2 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(+.f64 b_2 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (/.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 c c)) (*.f64 a a)))))
(-.f64 b_2 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3))))))
(-.f64 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3))))))
(-.f64 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 b_2) (fma.f64 1/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) a) (.f64 (/.f64 (.f64 1/16 (pow.f64 c 3)) (pow.f64 b_2 5)) (pow.f64 a 3))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (/.f64 b_2 a))
(+.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (-.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 b_2 b_2) a) (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 b_2 a)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b_2 a) (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)) (/.f64 b_2 a))
(fma.f64 1/2 (.f64 (/.f64 b_2 a) (/.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) (/.f64 b_2 a)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b_2 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 c a))))))) (+.f64 (/.f64 b_2 a) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a) (.f64 1/2 (/.f64 (/.f64 (.f64 b_2 b_2) a) (sqrt.f64 (.f64 c (neg.f64 a)))))) (+.f64 (/.f64 b_2 a) (.f64 1/8 (/.f64 (/.f64 (pow.f64 b_2 4) a) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b_2 a) (/.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) a)) (fma.f64 1/8 (/.f64 (/.f64 (pow.f64 b_2 4) a) (pow.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 3)) (/.f64 b_2 a)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b_2 a) (/.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a)) (fma.f64 1/8 (/.f64 (/.f64 (pow.f64 b_2 4) a) (pow.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 3)) (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
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(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a))))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 1/2 (/.f64 c b_2)))))
(+.f64 (/.f64 b_2 a) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 a -1/8) (/.f64 (pow.f64 b_2 3) (.f64 c c))))))
(*.f64 -1 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 b_2 a))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 (neg.f64 b_2) a))
(-.f64 (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))) (/.f64 b_2 a))
(-.f64 (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))) (/.f64 b_2 a))
(-.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 1/2 (/.f64 c b_2))) (/.f64 b_2 a))
(-.f64 (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a))) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))) (/.f64 b_2 a))
(-.f64 (fma.f64 1/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a))))) (/.f64 b_2 a))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 1/2 (/.f64 c b_2)))) (/.f64 b_2 a))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (-.f64 (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a))) (/.f64 b_2 a)))
(/.f64 b_2 a)
(-.f64 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 a))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 a -1/8) (/.f64 (pow.f64 b_2 3) (.f64 c c)))))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a))))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 1/2 (/.f64 c b_2)))))
(+.f64 (/.f64 b_2 a) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 a -1/8) (/.f64 (pow.f64 b_2 3) (.f64 c c))))))
(/.f64 b_2 a)
(-.f64 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 b_2 a))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 a -1/8) (/.f64 (pow.f64 b_2 3) (.f64 c c)))))
(-.f64 (/.f64 b_2 a) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a))))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 1/2 (/.f64 c b_2)))))
(+.f64 (/.f64 b_2 a) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (.f64 a -1/8) (/.f64 (pow.f64 b_2 3) (.f64 c c))))))

prune132.0ms (1.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	293	1	294
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	293	11	304

Error

4.7b

Counts

304 → 11

Alt Table

Status	Error	Program
	45.2b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (.f64 b_2 b_2))) b_2) a)
	51.3b	(exp.f64 (-.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (log.f64 a)))
✓	31.6b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
	45.2b	(/.f64 (*.f64 -2 b_2) a)
✓	31.8b	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))
✓	31.6b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	63.6b	(fma.f64 (/.f64 1 a) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (+.f64 (/.f64 b_2 a) (/.f64 b_2 a)))
	32.9b	(fma.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (neg.f64 (/.f64 b_2 a)))
	33.6b	(/.f64 (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))) a)
	32.7b	(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
	40.3b	(/.f64 (*.f64 c -1/2) b_2)

Compiler

Compiled 6481 to 1861 computations (71.3% saved)

regimes2.5s (34.9%)

Accuracy

Total 4.6b remaining (44.2%)

Threshold costs 0b (0%)

Counts

193 → 3

Compiler

Compiled 3455 to 1004 computations (70.9% saved)

bsearch47.0ms (0.7%)

Algorithm

2×	binary-search

Calls

2 calls:

37.0ms	b_2
9.0ms	b_2

Steps

Iters	Point		Range
2.1e-83	∈ [	6.928800753866611e-84	,	3.228369550428805e-82	]
-1e+145	∈ [	-7.316171631311603e+147	,	-3.2933035680497686e+137	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	47
1	35	47
2	48	47
3	58	47
4	64	47
5	66	47

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (/.f64 (*.f64 -2 b_2) a) (if (<=.f64 b_2 2870766576277703/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c -1/2) b_2)))

Outputs

(if (<=.f64 b_2 -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (/.f64 (*.f64 -2 b_2) a) (if (<=.f64 b_2 2870766576277703/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c -1/2) b_2)))

(if (<=.f64 b_2 -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (/.f64 (*.f64 b_2 -2) a) (if (<=.f64 b_2 2870766576277703/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a)) (/.f64 (*.f64 c -1/2) b_2)))

end130.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 266 to 161 computations (39.5% saved)

Details

analyze708.0ms (10.1%)

sample1.9s (27.5%)

preprocess84.0ms (1.2%)

simplify112.0ms (1.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series40.0ms (0.6%)

rewrite87.0ms (1.2%)

simplify54.0ms (0.8%)

prune292.0ms (4.1%)

localize11.0ms (0.2%)

series27.0ms (0.4%)

rewrite67.0ms (1%)

simplify70.0ms (1%)

prune133.0ms (1.9%)

localize10.0ms (0.1%)

series143.0ms (2%)

rewrite54.0ms (0.8%)

simplify39.0ms (0.6%)

prune239.0ms (3.4%)

localize11.0ms (0.2%)

series24.0ms (0.3%)

rewrite74.0ms (1%)

simplify48.0ms (0.7%)

prune132.0ms (1.9%)

regimes2.5s (34.9%)

bsearch47.0ms (0.7%)

simplify3.0ms (0%)

end130.0ms (1.9%)

Profiling