Details

analyze704.0ms (9.6%)

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 (26.1%)

Results

650.0ms	5421×	body	128	valid
491.0ms	1113×	body	2048	valid
276.0ms	780×	body	1024	valid
217.0ms	411×	body	4096	valid
126.0ms	1061×	body	128	invalid
98.0ms	358×	body	512	valid
34.0ms	173×	body	256	valid

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess41.0ms (0.6%)

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)

simplify64.0ms (0.9%)

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)

prune3.0ms (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

32.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	32.6b	(/.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)
✓	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	0.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	22.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series184.0ms (2.5%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
61.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
17.0ms	a	@	0	(-.f64 (.f64 b_2 b_2) (.f64 a c))
11.0ms	a	@	-inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
8.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
7.0ms	c	@	-inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

rewrite94.0ms (1.3%)

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

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

738×	`times-frac_binary64`
490×	`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))))))
(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 -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 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 (/.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 (+.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 1/2 (/.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 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 -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 c (neg.f64 a))) 3)) -1/8 (fma.f64 1/2 (.f64 (/.f64 b_2 (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 c (/.f64 b_2 a)) -1/2))
(+.f64 b_2 (/.f64 (.f64 (.f64 c a) -1/2) b_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 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))))
(+.f64 b_2 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) 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 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))))
(+.f64 b_2 (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 c (/.f64 (pow.f64 b_2 3) c)) a) a) -1/8))))
(*.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 (/.f64 1/2 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 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) b_2))
(fma.f64 1/8 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) a) (-.f64 (.f64 (.f64 (/.f64 1/2 b_2) c) 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 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))) b_2)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) a) (.f64 1/16 (*.f64 (/.f64 (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 (/.f64 c (/.f64 b_2 a)) -1/2))
(+.f64 b_2 (/.f64 (.f64 (.f64 c a) -1/2) b_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 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))))
(+.f64 b_2 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) 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 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))))
(+.f64 b_2 (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 c (/.f64 (pow.f64 b_2 3) c)) a) a) -1/8))))
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 (.f64 c a) -1/2) b_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 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))))
(+.f64 b_2 (fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) 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 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))))
(+.f64 b_2 (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 c (/.f64 (pow.f64 b_2 3) c)) a) a) -1/8))))
(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 (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 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 (/.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))))) b_2)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)
(/.f64 (.f64 (.f64 c a) -1/2) b_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 (.f64 c a) -1/2) b_2) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 a a))))
(fma.f64 (.f64 (/.f64 c b_2) a) -1/2 (.f64 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) 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 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) -1/16) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (.f64 a a)))))
(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 c (/.f64 (pow.f64 b_2 3) c)) 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)))))))
(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 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))))))))
(-.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) -1/16) (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 (.f64 5/128 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 b_2 7)))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) -1/16) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (fma.f64 1/8 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) a) (.f64 5/128 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b_2 7) (pow.f64 c 4)))))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 2 b_2))
(+.f64 (/.f64 (.f64 1/2 (.f64 c a)) b_2) (*.f64 b_2 -2))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 b_2 -2))
(fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.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 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))))) (.f64 b_2 -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 b_2 -2)))
(fma.f64 1/8 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) a) (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (.f64 b_2 -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 (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 -2))
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(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 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) 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 (.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 (.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 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (*.f64 c 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 c (/.f64 (pow.f64 b_2 3) c)) 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 (.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 (.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 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c 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 c (/.f64 (pow.f64 b_2 3) c)) 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 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a)))))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) 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 (.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 (.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 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (*.f64 c 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 c (/.f64 (pow.f64 b_2 3) c)) 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 (.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 (.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 1/8 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c 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 c (/.f64 (pow.f64 b_2 3) c)) a) -1/8))))

prune263.0ms (3.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	376	12	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	377	12	389

Error

4.5b

Counts

389 → 12

Alt Table

Status	Error	Program
	32.9b	(.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
	45.4b	(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
	45.5b	(*.f64 (/.f64 -2 a) b_2)
	45.4b	(/.f64 (*.f64 -2 b_2) a)
	33.8b	(/.f64 (fma.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))) (neg.f64 b_2)) a)
	42.8b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) -1/8))
▶	32.7b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	47.8b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
	41.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	44.1b	(.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) a) 2)))
	32.9b	(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
	41.5b	(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 9685 to 3005 computations (69% saved)

localize12.0ms (0.2%)

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)
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	22.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series671.0ms (9.2%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
173.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
173.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
160.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
142.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
7.0ms	b_2	@	inf	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)

rewrite56.0ms (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 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)))))) (#(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)))))))

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 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)))))) (#(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)))))))

simplify37.0ms (0.5%)

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))))

prune243.0ms (3.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	383	3	386
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	386	12	398

Error

4.5b

Counts

398 → 12

Alt Table

Status	Error	Program
✓	32.7b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	45.4b	(fma.f64 (/.f64 b_2 a) -2 (*.f64 (/.f64 1/2 b_2) c))
	41.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	39.6b	(pow.f64 (/.f64 a (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 3))) -1)
	45.5b	(*.f64 (/.f64 -2 a) b_2)
	45.4b	(/.f64 (*.f64 -2 b_2) a)
	33.8b	(/.f64 (fma.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))) (neg.f64 b_2)) a)
	42.8b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) -1/8))
	47.8b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)) 2)
	32.9b	(/.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))))
▶	32.9b	(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
	41.5b	(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 10228 to 3625 computations (64.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	3.8b	(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
	22.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series98.0ms (1.3%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	a	@	-inf	(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
9.0ms	a	@	inf	(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
8.0ms	a	@	-inf	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
7.0ms	c	@	inf	(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
7.0ms	c	@	-inf	(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

451×	`fma-def_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`
206×	`fma-neg_binary64`
143×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	285	36
2	3895	36

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

484×	`times-frac_binary64`
291×	`associate-/l*_binary64`
253×	`associate-/r*_binary64`
252×	`associate-r_binary64`
221×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1215
1	266	1197
2	888	1169
3	4901	1169

Stop Event

1×	node limit

Counts

100 → 103

Calls

Call 1

Inputs
(/.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 (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
(/.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))
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(-.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 1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))) (fma.f64 -1/2 (/.f64 c b_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 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 b_2 a))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (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)))
(fma.f64 1/16 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 5)) (pow.f64 c 3)) (-.f64 (.f64 1/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c)))) (fma.f64 -1/2 (/.f64 c b_2) (/.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 a (*.f64 c c)) (pow.f64 b_2 3)))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a))))
(+.f64 (/.f64 b_2 a) (fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (.f64 -1/2 (/.f64 c b_2))))
(-.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 (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) (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 (.f64 c c) (pow.f64 b_2 3)) a)))))
(+.f64 (/.f64 b_2 a) (fma.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 5)) (pow.f64 c 3)) -1/16 (fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (.f64 -1/2 (/.f64 c b_2)))))
(/.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 a (*.f64 c c)) (pow.f64 b_2 3)))))
(-.f64 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a))))
(+.f64 (/.f64 b_2 a) (fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (.f64 -1/2 (/.f64 c b_2))))
(-.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 (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) (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 (.f64 c c) (pow.f64 b_2 3)) a)))))
(+.f64 (/.f64 b_2 a) (fma.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 5)) (pow.f64 c 3)) -1/16 (fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b_2 3) c))) -1/8 (.f64 -1/2 (/.f64 c b_2)))))

prune213.0ms (2.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	315	1	316
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	316	12	328

Error

4.5b

Counts

328 → 12

Alt Table

Status	Error	Program
✓	32.7b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	45.4b	(fma.f64 (/.f64 b_2 a) -2 (*.f64 (/.f64 1/2 b_2) c))
	41.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	39.6b	(pow.f64 (/.f64 a (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 3))) -1)
	45.5b	(*.f64 (/.f64 -2 a) b_2)
	45.4b	(/.f64 (*.f64 -2 b_2) a)
	33.8b	(/.f64 (fma.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))) (neg.f64 b_2)) a)
	42.8b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) -1/8))
▶	32.9b	(/.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))))
	48.4b	(fma.f64 1 (.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)))
✓	32.9b	(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
	41.5b	(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 8924 to 2836 computations (68.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))))
✓	0.9b	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)
✓	1.0b	(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
✓	22.0b	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))

series132.0ms (1.8%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
15.0ms	a	@	inf	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))
10.0ms	a	@	-inf	(/.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))))
8.0ms	a	@	inf	(/.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))))
8.0ms	c	@	-inf	(/.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))))
6.0ms	c	@	inf	(/.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))))

rewrite98.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`prod-diff_binary64`
155×	`egg-rr`
136×	`add-sqr-sqrt_binary64`
132×	`*-un-lft-identity_binary64`
132×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	264	44
2	3775	44

Stop Event

1×	node limit

Counts

4 → 289

Calls

Call 1

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

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

simplify51.0ms (0.7%)

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

385 → 363

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))))
(+.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 (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 1/2 (/.f64 b_2 (/.f64 (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 1/2 (/.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))))
(+.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 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)
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(-.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 2 (/.f64 b_2 a)))
(+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
(-.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 c c) (/.f64 (pow.f64 b_2 3) a)))) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 -2 (/.f64 b_2 a))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (/.f64 b_2 (/.f64 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 c c) (/.f64 (pow.f64 b_2 3) a))))) (.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 -2 (/.f64 b_2 a)))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (/.f64 b_2 (/.f64 a -2)))))
(*.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))))
(*.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))))

prune353.0ms (4.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	661	0	661
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	661	12	673

Error

4.5b

Counts

673 → 12

Alt Table

Status	Error	Program
✓	32.7b	(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) -1)
	45.4b	(fma.f64 (/.f64 b_2 a) -2 (*.f64 (/.f64 1/2 b_2) c))
	41.7b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 a c))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	39.6b	(pow.f64 (/.f64 a (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 3))) -1)
	45.5b	(*.f64 (/.f64 -2 a) b_2)
	45.4b	(/.f64 (*.f64 -2 b_2) a)
	33.8b	(/.f64 (fma.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))) (neg.f64 b_2)) a)
	42.8b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) -1/8))
✓	32.9b	(/.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))))
	48.4b	(fma.f64 1 (.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)))
✓	32.9b	(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
	41.5b	(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 24764 to 6445 computations (74% saved)

regimes1.7s (22.8%)

Accuracy

Total 5.2b remaining (47.5%)

Threshold costs 0b (0%)

Counts

166 → 3

Compiler

Compiled 14012 to 8466 computations (39.6% saved)

bsearch60.0ms (0.8%)

Algorithm

2×	binary-search

Calls

2 calls:

39.0ms	b_2
20.0ms	b_2

Steps

Iters	Point		Range
0.0015	∈ [	0.0014929960819044172	,	0.33027778128498314	]
-1.35e+97	∈ [	-2.1537462599438542e+98	,	-8.550447850805914e+95	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-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	28	57
1	43	57
2	57	57
3	66	57
4	71	57
5	72	57

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b_2 -13499999999999999665277983899169890762876771037799689091399108033526373988401817302814316321308672) (fma.f64 (/.f64 b_2 a) -2 (*.f64 (/.f64 1/2 b_2) c)) (if (<=.f64 b_2 3458764513820541/2305843009213693952) (fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a))) (*.f64 -1/2 (/.f64 c b_2))))

Outputs

(if (<=.f64 b_2 -13499999999999999665277983899169890762876771037799689091399108033526373988401817302814316321308672) (fma.f64 (/.f64 b_2 a) -2 (*.f64 (/.f64 1/2 b_2) c)) (if (<=.f64 b_2 3458764513820541/2305843009213693952) (fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a))) (*.f64 -1/2 (/.f64 c b_2))))

(if (<=.f64 b_2 -13499999999999999665277983899169890762876771037799689091399108033526373988401817302814316321308672) (fma.f64 (/.f64 b_2 a) -2 (*.f64 (/.f64 1/2 b_2) c)) (if (<=.f64 b_2 3458764513820541/2305843009213693952) (fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 (neg.f64 b_2) a)) (*.f64 -1/2 (/.f64 c b_2))))

end149.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 300 to 182 computations (39.3% saved)

Details

analyze704.0ms (9.6%)

sample1.9s (26.1%)

preprocess41.0ms (0.6%)

simplify64.0ms (0.9%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series184.0ms (2.5%)

rewrite94.0ms (1.3%)

simplify69.0ms (0.9%)

prune263.0ms (3.6%)

localize12.0ms (0.2%)

series671.0ms (9.2%)

rewrite56.0ms (0.8%)

simplify37.0ms (0.5%)

prune243.0ms (3.3%)

localize10.0ms (0.1%)

series98.0ms (1.3%)

rewrite52.0ms (0.7%)

simplify52.0ms (0.7%)

prune213.0ms (2.9%)

localize10.0ms (0.1%)

series132.0ms (1.8%)

rewrite98.0ms (1.3%)

simplify51.0ms (0.7%)

prune353.0ms (4.8%)

regimes1.7s (22.8%)

bsearch60.0ms (0.8%)

simplify3.0ms (0%)

end149.0ms (2%)

Profiling