Details

analyze367.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	95.2%	0.1%	0%	4.7%	0%	7
6.6%	6.2%	88.2%	0.1%	0%	5.5%	0%	8
11.2%	10.1%	80.4%	0.1%	1.2%	8.2%	0%	9
17.4%	15.2%	72.2%	0.1%	1.4%	11.1%	0%	10
26.2%	22.2%	62.5%	0.1%	2.1%	13%	0%	11
35.6%	29.1%	52.5%	0.1%	3.3%	15.1%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.4s (14.9%)

Results

891.0ms	5565×	body	256	valid
580.0ms	1145×	body	2048	valid
318.0ms	428×	body	4096	valid
247.0ms	744×	body	1024	valid
160.0ms	1211×	body	256	invalid
102.0ms	374×	body	512	valid
53.0ms	366×	body	256	infinite

Bogosity

preprocess130.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1391×	`fma-neg_binary64`
685×	`div-sub_binary64`
542×	`unsub-neg_binary64`
508×	`times-frac_binary64`
354×	`fma-def_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	1058	72
7	1773	72
8	4031	72
9	5484	72
10	6891	72
11	7212	72
12	7285	72
13	7349	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 b_2 b_2 (*.f64 c (neg.f64 a)))) 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 b_2 b_2 (*.f64 c (neg.f64 a)))) 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)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b_2 (neg.f64 a)))) c) a)

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
368×	`associate-/l*_binary64`
362×	`div-sub_binary64`
341×	`fma-def_binary64`
222×	`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	957	18
9	1474	18
10	2004	18
11	3234	18
12	4125	18
13	4595	18
14	4603	18
15	4611	18
16	4637	18
17	4653	18
18	4689	18
19	4719	18
20	4731	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)

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

eval1.0ms (0%)

Compiler: Compiled 28 to 16 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

34.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	1.0b	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	23.8b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series51.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
22.0ms	a	@	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
4.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
3.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`fma-def_binary64`
610×	`log-prod_binary64`
351×	`fma-neg_binary64`
312×	`pow2_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	258	55
2	3917	52

Stop Event

1×	node limit

Counts

4 → 317

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 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 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 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 (pow.f64 (cbrt.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) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.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))) (hypot.f64 b_2 (sqrt.f64 (.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 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 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 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 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 hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 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 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (.f64 (.f64 a (neg.f64 c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) 2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (neg.f64 c)) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3)) (/.f64 1 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 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(sqrt.f64 (.f64 a (neg.f64 c))))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 1))))))

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

985×	`times-frac_binary64`
814×	`fma-def_binary64`
753×	`associate-l_binary64`
660×	`associate-/l*_binary64`
571×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2424
1	561	2350
2	1937	2254

Stop Event

1×	node limit

Counts

413 → 398

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.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)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (*.f64 1/2 (/.f64 a (/.f64 b_2 c))) b_2)
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.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))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (.f64 1/2 (/.f64 a (/.f64 b_2 c)))) b_2)
(fma.f64 1/2 (/.f64 (.f64 c a) b_2) (-.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 (*.f64 a a) 1/8)) b_2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.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)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (-.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (*.f64 1/2 (/.f64 a (/.f64 b_2 c)))) b_2))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (-.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 (*.f64 a a) 1/8)) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.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)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.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)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2)))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 b_2)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)))
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(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 (pow.f64 c 3) -1/16) (pow.f64 b_2 5)) (*.f64 a a))))
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(fma.f64 -1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 -1/2 (+.f64 (/.f64 c b_2) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (.f64 a (pow.f64 b_2 7)))))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 -2 a) b_2)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 -2 a) b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)) (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 1/8 a) (*.f64 c c)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 (/.f64 -2 a) b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b_2 5)) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (/.f64 1/2 (/.f64 b_2 c)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 1/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a)))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (/.f64 (*.f64 c -1/2) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 (pow.f64 c 3) -1/16) (pow.f64 b_2 5)) (*.f64 a a))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/8 (.f64 c c)) (pow.f64 b_2 3)) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b_2 5)) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) b_2) (pow.f64 a 3)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 -1/2 (+.f64 (/.f64 c b_2) (.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64) b_2) (pow.f64 a 3))))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (/.f64 (*.f64 c -1/2) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 (pow.f64 c 3) -1/16) (pow.f64 b_2 5)) (*.f64 a a))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (.f64 a b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (/.f64 (.f64 -1/8 (.f64 a a)) (pow.f64 b_2 3)) 2)) b_2)) (fma.f64 -1/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b_2 5)) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) (.f64 a b_2)) (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a a)) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) (.f64 a b_2)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 (pow.f64 c 3) -1/16) (pow.f64 b_2 5)) (.f64 a a)))))

eval247.0ms (1.6%)

Compiler: Compiled 9534 to 3316 computations (65.2% saved)

prune107.0ms (0.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	376	22	398
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	376	23	399

Error

7.5b

Counts

399 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.6b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	44.8b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	45.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	36.8b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	41.1b	(/.f64 (*.f64 c -1/2) b_2)
	57.5b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
▶	40.7b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
▶	46.9b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	43.7b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	45.4b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	45.4b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	34.4b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
	47.4b	(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)
	59.2b	(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
	55.4b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))
	47.6b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	46.8b	(/.f64 (*.f64 b_2 -2) a)
▶	46.5b	(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	57.5b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
▶	46.8b	(*.f64 (/.f64 -2 a) b_2)
	45.7b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
▶	31.5b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))

Compiler

Compiled 728 to 474 computations (34.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.2b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	0.4b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	14.4b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 54 to 15 computations (72.2% saved)

series74.0ms (0.5%)

Counts

4 → 38

Calls

33 calls:

Time	Variable		Point	Expression
22.0ms	c	@	0	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
7.0ms	c	@	inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
5.0ms	a	@	-inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
4.0ms	a	@	inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
3.0ms	c	@	inf	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
548×	`prod-diff_binary64`
293×	`pow2_binary64`
239×	`fma-def_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	277	42
2	3805	42

Stop Event

1×	node limit

Counts

4 → 205

Calls

Call 1

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

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

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

949×	`times-frac_binary64`
679×	`associate-/l*_binary64`
653×	`fma-def_binary64`
506×	`associate-/r*_binary64`
330×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1598
1	496	1301
2	1905	1209
3	7450	1207

Stop Event

1×	node limit

Counts

243 → 275

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 -2 a) b_2)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	inf	(*.f64 (/.f64 -2 a) b_2)
1.0ms	a	@	0	(*.f64 (/.f64 -2 a) b_2)
1.0ms	b_2	@	0	(*.f64 (/.f64 -2 a) b_2)
1.0ms	a	@	inf	(*.f64 (/.f64 -2 a) b_2)
1.0ms	b_2	@	-inf	(*.f64 (/.f64 -2 a) b_2)

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1559	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (/.f64 -2 a) b_2)

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

45 → 22

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 c b_2))
✓	0.0b	(*.f64 -2 (/.f64 b_2 a))
✓	0.0b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series11.0ms (0.1%)

Counts

3 → 9

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	inf	(*.f64 1/2 (/.f64 c b_2))
1.0ms	c	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	b_2	@	inf	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	b_2	@	0	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
1.0ms	c	@	inf	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
372×	`pow-prod-down_binary64`
328×	`fma-def_binary64`
325×	`pow2_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	246	28
2	3422	28

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (*.f64 1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 1))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	16	63
2	24	63
3	32	63
4	34	63

Stop Event

1×

saturated

Counts

133 → 127

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))

Outputs
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
✓	1.0b	(+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
	1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	32.4b	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))

Compiler

Compiled 69 to 22 computations (68.1% saved)

series68.0ms (0.4%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
42.0ms	a	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
8.0ms	b_2	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	a	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)
2.0ms	c	@	inf	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`fma-def_binary64`
578×	`log-prod_binary64`
318×	`pow2_binary64`
310×	`fma-neg_binary64`
216×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	277	40
2	3885	38

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))
(+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)

Outputs

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

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

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

394×	`fma-def_binary64`
379×	`distribute-rgt-in_binary64`
372×	`distribute-lft-in_binary64`
333×	`distribute-rgt-out_binary64`
327×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	3458
1	1110	3121
2	4542	2814

Stop Event

1×	node limit

Counts

196 → 230

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.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 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.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))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.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)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.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 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.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 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.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)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.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))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.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)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.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))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.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)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.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)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.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))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.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)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.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))))
(+.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 (pow.f64 c 4) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (.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)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -1)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 6)))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (.f64 -3/2 (.f64 c (*.f64 a b_2))))))
(+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3))) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b_2)) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 3)))))))))
(*.f64 -1 (pow.f64 b_2 3))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2))))
(+.f64 (.f64 -1 (pow.f64 b_2 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 9/8 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/2 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 3))) (+.f64 (.f64 3/2 (.f64 c (.f64 a b_2))) (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -3/4 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) b_2)))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 9/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4)))))) (+.f64 (pow.f64 b_2 3) (+.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (.f64 -3/2 (.f64 c (.f64 a b_2))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (.f64 c a)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (pow.f64 b_2 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))))
(pow.f64 b_2 3)
(+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))))))
(+.f64 (pow.f64 b_2 3) (+.f64 (.f64 (+.f64 (.f64 -9/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 9/8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) (.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -3/2 (.f64 c (.f64 a b_2))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 b_2 3) (+.f64 (.f64 9/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 -3/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.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))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (/.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 a) b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (*.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 (.f64 -1 b_2) (+.f64 (.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)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (-.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) b_2))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (-.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (.f64 c a)))) b_2))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 b_2)))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))))) b_2))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))))))) b_2)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.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)))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (.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 (.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))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.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)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 a a) (pow.f64 b_2 3)) (.f64 c c)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (.f64 1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 b_2 -2))
(+.f64 (.f64 -2 b_2) (+.f64 (.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))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 b_2 -2 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (.f64 a a)))))
(fma.f64 b_2 -2 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (*.f64 c a)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.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)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 b_2 -2 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) (.f64 a a))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 (.f64 c a) (.f64 c a))))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b_2 2)) (.f64 c a))))))
(+.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) 3/8) (/.f64 (.f64 c c) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))))) (+.f64 (+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) (.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b_2 b_2))))) (/.f64 (fma.f64 9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -17/16)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c)))))))))
(+.f64 (fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) (.f64 (/.f64 c b_2) (/.f64 a b_2))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) 3/8) (.f64 a a)) (.f64 c c)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 1/16) (pow.f64 c 3)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 1/16) (pow.f64 c 3)) 1) (.f64 (pow.f64 c 3/2) (pow.f64 (neg.f64 a) 3/2))) (.f64 (/.f64 (.f64 (pow.f64 c 3/2) (pow.f64 (neg.f64 a) 3/2)) c) (+.f64 (.f64 (/.f64 (.f64 b_2 b_2) a) -3/2) (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) 3/8) (*.f64 a a)) c))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))))
(fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (.f64 c a) (.f64 b_2 b_2))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))))
(fma.f64 -3/2 (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c a) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))
(fma.f64 -3/2 (.f64 (/.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2))) (*.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (.f64 c a) (.f64 b_2 b_2))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) 3/8) (/.f64 (.f64 c c) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))))))
(+.f64 (fma.f64 -3/2 (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c a) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) 3/8) (*.f64 a a)) c)))
(+.f64 (.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)) (.f64 (/.f64 (.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)) c) (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) 3/8) (.f64 a a)) c) (.f64 (/.f64 (*.f64 b_2 b_2) a) -3/2))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 9/16 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -3/4 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)))))
(+.f64 (fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (.f64 c a) (.f64 b_2 b_2))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (fma.f64 -1 (/.f64 (fma.f64 -9/8 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 17/16)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))))) (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) 3/8) (/.f64 (.f64 c c) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c)))))))))
(+.f64 (fma.f64 -3/2 (/.f64 (.f64 b_2 b_2) (/.f64 (.f64 c a) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) c) (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) 3/8) (.f64 a a)) c)) (/.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -1/16) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))))))))
(+.f64 (fma.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2) (/.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 1/16) (/.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2))))) (.f64 (/.f64 (.f64 (pow.f64 a 3/2) (pow.f64 (/.f64 -1 c) -3/2)) c) (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) 3/8) (.f64 a a)) c) (.f64 (/.f64 (.f64 b_2 b_2) a) -3/2))))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
✓	0.4b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	3.3b	(exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))
	14.4b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 67 to 11 computations (83.6% saved)

series21.0ms (0.1%)

Counts

3 → 42

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
1.0ms	c	@	inf	(exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))
1.0ms	a	@	inf	(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
1.0ms	a	@	-inf	(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
1.0ms	c	@	-inf	(exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))

rewrite116.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`prod-diff_binary64`
560×	`log-prod_binary64`
285×	`pow2_binary64`
222×	`fma-def_binary64`
212×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	245	39
2	3310	39

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

Inputs

(exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))

(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))

(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)

Outputs

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

900×	`times-frac_binary64`
643×	`associate-/l*_binary64`
459×	`associate-/r*_binary64`
431×	`fma-def_binary64`
362×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1653
1	407	1325
2	1517	1221
3	6308	1194
4	7243	1194

Stop Event

1×	node limit

Counts

215 → 156

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) b_2))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 -1) -1))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))) b_2)))
(*.f64 2 b_2)
(*.f64 b_2 2)
(+.f64 (.f64 2 b_2) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 2 b_2 (.f64 1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 b_2 2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))
(fma.f64 b_2 2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))
(+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))))
(fma.f64 b_2 2 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (/.f64 (.f64 (.f64 -1/2 c) a) b_2)))
(fma.f64 b_2 2 (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) -1))) (fma.f64 b_2 2 (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) (/.f64 (.f64 (*.f64 -1/2 c) a) b_2))))
(fma.f64 b_2 2 (fma.f64 1/16 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(fma.f64 b_2 2 (fma.f64 1/16 (.f64 (neg.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (pow.f64 c 3)) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(.f64 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2)
(/.f64 (.f64 (.f64 1/2 c) a) b_2)
(*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) 1/8 (/.f64 (.f64 (.f64 1/2 c) a) b_2))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) 1/8 (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) -1))) -1/16 (/.f64 (.f64 (*.f64 1/2 c) a) b_2)))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)))
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (.f64 (neg.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (pow.f64 c 3)) -1/16 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) 2) (.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4)))) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 a 3)) (pow.f64 b_2 5)) (.f64 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a (.f64 a 1))) 1/8 (fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 1 (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a (.f64 a 1)))) 2)) (pow.f64 b_2 7)) (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) -1))) -1/16 (/.f64 (.f64 (.f64 1/2 c) a) b_2))))
(fma.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 (.f64 (neg.f64 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (pow.f64 c 3)) -1/16 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a))))
(*.f64 2 b_2)
(*.f64 b_2 2)
(*.f64 2 b_2)
(*.f64 b_2 2)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) b_2))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2))
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(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 c c) (pow.f64 (sqrt.f64 -1) 4)) a) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) 2) (.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4)))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (.f64 a a)) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (/.f64 (pow.f64 b_2 3) a) 1) c)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 1 (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a (.f64 a 1)))) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (.f64 -1 (.f64 a a)) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (.f64 a (pow.f64 b_2 7))) (fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 1/2 (/.f64 b_2 c)))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (.f64 a (pow.f64 b_2 7))) (fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (.f64 (*.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 1/2 (/.f64 b_2 c)))))
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)

eval476.0ms (3%)

Compiler: Compiled 24988 to 10830 computations (56.7% saved)

prune251.0ms (1.6%)

Pruning

47 alts after pruning (42 fresh and 5 done)

	Pruned	Kept	Total
New	993	31	1024
Fresh	6	11	17
Picked	0	1	1
Done	1	4	5
Total	1000	47	1047

Error

7.5b

Counts

1047 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	54.8b	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
✓	34.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	34.6b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	63.7b	(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 3) 1/3)
	48.6b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 c b_2)))))
	45.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	36.8b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	41.1b	(/.f64 (*.f64 c -1/2) b_2)
	63.6b	(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) a)
	47.1b	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
▶	55.4b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))
	46.9b	(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 c (cbrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))
	63.6b	(/.f64 (.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) a)
	47.1b	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	45.9b	(/.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	63.6b	(/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))) 2)) (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) a)
	60.8b	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
	46.8b	(/.f64 (*.f64 b_2 -2) a)
	63.6b	(/.f64 (pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))) 2)) (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) a)
	63.6b	(/.f64 (.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) a)
	46.8b	(/.f64 -2 (/.f64 a b_2))
✓	46.5b	(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	44.8b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	57.5b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
	47.0b	(.f64 (-.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)) (/.f64 1 (neg.f64 a)))
	57.8b	(/.f64 1/2 (/.f64 b_2 c))
	60.8b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))
	62.3b	(*.f64 (/.f64 2 a) b_2)
	55.7b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))) a)
	41.3b	(/.f64 -1/2 (/.f64 b_2 c))
	61.9b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)
	57.8b	(/.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) a)
✓	46.9b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	43.7b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	48.7b	(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
✓	46.8b	(*.f64 (/.f64 -2 a) b_2)
	63.6b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 3) a)
▶	57.8b	(*.f64 1/2 (/.f64 c b_2))
	62.3b	(*.f64 2 (/.f64 b_2 a))
	45.7b	(.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) (/.f64 1 (neg.f64 a)))
	63.6b	(/.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) a)
✓	31.5b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	45.4b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
▶	45.4b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	46.7b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
▶	47.4b	(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)
	54.3b	(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))

Compiler

Compiled 1509 to 971 computations (35.7% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
	1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	11.2b	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
✓	24.4b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 73 to 26 computations (64.4% saved)

series76.0ms (0.5%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
10.0ms	b_2	@	inf	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
5.0ms	a	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
4.0ms	c	@	0	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
4.0ms	a	@	0	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
4.0ms	c	@	0	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`log-prod_binary64`
607×	`fma-def_binary64`
339×	`pow2_binary64`
313×	`fma-neg_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	305	40
2	4063	38

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/4) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/4) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) 0) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 2) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (/.f64 1 (-.f64 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule 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simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
565×	`associate-r_binary64`
431×	`associate-l_binary64`
351×	`times-frac_binary64`
336×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	583	8295
1	2194	7035

Stop Event

1×	node limit

Counts

232 → 315

Calls

Call 1

Inputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
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(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.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 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (.f64 1/4 (/.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 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (.f64 -1/2 (/.f64 (.f64 c (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) b_2)))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 b_2 2) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))))) c))) (pow.f64 a 3))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 b_2 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (+.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2) (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2))))) (+.f64 b_2 (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (.f64 c a))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 b_2 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))

Outputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(pow.f64 (*.f64 (neg.f64 c) a) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 (neg.f64 c) a) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 (neg.f64 c) a) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4)))
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(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b_2)
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) b_2)
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(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) b_2)
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(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) b_2)
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) b_2)
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(-.f64 (-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 1/2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) a) (.f64 (.f64 b_2 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))) (.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) 2))) (pow.f64 c 3))) b_2)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a))))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) -1/8)) (fma.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))))
(+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (.f64 (pow.f64 b_2 6) (+.f64 (.f64 -7/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))) (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))))))))
(fma.f64 (pow.f64 b_2 4) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/8) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (.f64 (pow.f64 b_2 6) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))))) -1/16)))))
(fma.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1) -1/8)) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)) (fma.f64 (pow.f64 b_2 6) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) -1/16)) (.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
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(*.f64 -1 b_2)
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b_2
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(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)
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b_2
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(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))) 2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (fma.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 11/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 1/2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 a (.f64 (.f64 b_2 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))) (pow.f64 c 3)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 1/2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) a) (.f64 (.f64 b_2 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))) (.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) 2))) (pow.f64 c 3)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 c b_2))

Compiler

Compiled 14 to 7 computations (50% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.7b	(/.f64 (.f64 (.f64 -1/2 a) c) b_2)
✓	10.7b	(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)
1.0ms	c	@	0	(/.f64 (.f64 (.f64 -1/2 a) c) b_2)
1.0ms	b_2	@	0	(/.f64 (.f64 (.f64 -1/2 a) c) b_2)
1.0ms	a	@	0	(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)
1.0ms	b_2	@	inf	(/.f64 (.f64 (.f64 -1/2 a) c) b_2)

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
453×	`exp-prod_binary64`
367×	`pow-prod-down_binary64`
266×	`pow2_binary64`
208×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	196	23
2	2842	23

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)
(/.f64 (.f64 (.f64 -1/2 a) c) b_2)

Outputs

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

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
9×	`associate-l_binary64`
9×	`associate-/r/_binary64`
8×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	612
1	19	612
2	34	612
3	57	612
4	80	612
5	90	612

Stop Event

1×

saturated

Counts

191 → 123

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.2b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	0.4b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	14.4b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 50 to 14 computations (72% saved)

series7.0ms (0%)

Counts

1 → 14

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
1.0ms	a	@	inf	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
1.0ms	c	@	inf	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
1.0ms	a	@	-inf	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
1.0ms	a	@	0	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`prod-diff_binary64`
588×	`log-prod_binary64`
270×	`fma-def_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	259	15
2	3594	15

Stop Event

1×	node limit

Counts

1 → 79

Calls

Call 1

Inputs
(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))

Outputs

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-r_binary64`
530×	`associate-l_binary64`
442×	`times-frac_binary64`
402×	`neg-sub0_binary64`
361×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	551
1	274	443
2	991	407
3	5408	397
4	6688	397

Stop Event

1×	node limit

Counts

93 → 102

Calls

Call 1

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

Outputs
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 (/.f64 2 a) b_2)
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b_2 1/2) (/.f64 (sqrt.f64 -1) b_2)) (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 -1) -1))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (.f64 (pow.f64 b_2 4) -1/8) (neg.f64 (sqrt.f64 -1))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b_2 1/2) (/.f64 (sqrt.f64 -1) b_2)) (/.f64 b_2 a))))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 (/.f64 2 a) b_2)
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 2 (/.f64 b_2 a) (/.f64 (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))) b_2))
(fma.f64 2 (/.f64 b_2 a) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 2 (/.f64 b_2 a) (*.f64 (/.f64 c b_2) -1/2))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 c b_2) -1/2)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))))))))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 (.f64 -1/2 c) b_2)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) (/.f64 (.f64 (.f64 1/16 (pow.f64 c 3)) (.f64 a (.f64 a -1))) (pow.f64 b_2 5))))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (.f64 (/.f64 c b_2) -1/2)) (fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1/16 (.f64 a a)))))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (.f64 (/.f64 c b_2) -1/2)) (fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 (.f64 a a) -1/16))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) -1/2)
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 (*.f64 c 1/2) b_2)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) -1/2))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) 1/8 (/.f64 (.f64 1/2 c) b_2))
(fma.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (/.f64 (*.f64 c 1/2) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))) -1/16)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) 1/8 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (.f64 a -1))) -1/16 (/.f64 (*.f64 1/2 c) b_2)))
(+.f64 (fma.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (/.f64 (.f64 c 1/2) b_2)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 1/16 (.f64 a a))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 a a)))) -1/16))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) 1/8 (fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 1 (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a (.f64 a 1)))) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (.f64 a -1))) -1/16 (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 (/.f64 1/2 a) (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (+.f64 (fma.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (/.f64 (.f64 c 1/2) b_2)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 1/16 (*.f64 a a)))))
(+.f64 (fma.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (/.f64 (.f64 c 1/2) b_2)) (+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 1/16 (.f64 a a))) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/128) (*.f64 a (pow.f64 b_2 7)))))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 (/.f64 2 a) b_2)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3)
	0.4b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	14.4b	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	15.9b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))

Compiler

Compiled 72 to 15 computations (79.2% saved)

series64.0ms (0.4%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	c	@	inf	(pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3)
8.0ms	c	@	-inf	(pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3)
8.0ms	a	@	inf	(pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3)
5.0ms	a	@	-inf	(pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3)
3.0ms	b_2	@	0	(pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3)

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`prod-diff_binary64`
601×	`log-prod_binary64`
308×	`pow2_binary64`
225×	`fma-def_binary64`
212×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	291	33
2	3705	33

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))
(pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3)

Outputs

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

727×	`associate-/r*_binary64`
501×	`associate-+l+_binary64`
355×	`associate-*l/_binary64`
317×	`associate-r_binary64`
303×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	1667
1	744	1260
2	3455	1108

Stop Event

1×	node limit

Counts

119 → 138

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(*.f64 2 (/.f64 b_2 a))
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3))
(+.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3)) (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) b_2))
(+.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) b_2) (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (sqrt.f64 -1))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (sqrt.f64 -1)))) (pow.f64 b_2 2))))
(+.f64 (.f64 4 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3))) (+.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) b_2) (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (sqrt.f64 -1))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (sqrt.f64 -1)))) (pow.f64 b_2 2)))))
(*.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (.f64 4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2)))) b_2) (.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (.f64 4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2)))) b_2) (+.f64 (.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/4 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 a b_2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (.f64 a b_2))) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (*.f64 a b_2))))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (.f64 4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2)))) b_2) (+.f64 (.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/4 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (.f64 a b_2))) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (.f64 a b_2)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) a))) (.f64 1/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) a)))) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/4 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 a b_2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3)))))))))))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a)))) (pow.f64 b_2 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a)))) (pow.f64 b_2 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 5) (.f64 (pow.f64 (sqrt.f64 -1) 10) (pow.f64 a 2)))) (.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2)))) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2))))))))) (pow.f64 b_2 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a)))) (pow.f64 b_2 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 5) (.f64 (pow.f64 (sqrt.f64 -1) 10) (pow.f64 a 2)))) (.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2)))) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2))))))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/64 (.f64 (pow.f64 c 5) (.f64 (pow.f64 (sqrt.f64 -1) 10) (pow.f64 a 3)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))))) a)) (.f64 -1/4 (/.f64 (.f64 c (.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 (sqrt.f64 -1) 2))) a)))) (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2)))) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2))))) a)))) (+.f64 (.f64 -1/128 (.f64 (pow.f64 c 6) (.f64 (pow.f64 (sqrt.f64 -1) 12) (pow.f64 a 3)))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))))) a))))) (pow.f64 b_2 9))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3))))))
(*.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))

Outputs
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (.f64 (sqrt.f64 -1) -1))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))))))
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) 2)
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 (/.f64 b_2 a) 2 (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 (/.f64 b_2 a) 2 (/.f64 -1/2 (/.f64 b_2 c)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))))))
(fma.f64 (/.f64 b_2 a) 2 (fma.f64 -1/8 (/.f64 (.f64 (.f64 (.f64 a 1) c) c) (pow.f64 b_2 3)) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 (/.f64 b_2 a) 2 (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (/.f64 -1/2 (/.f64 b_2 c))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))))))))
(+.f64 (fma.f64 (/.f64 b_2 a) 2 (/.f64 (.f64 -1/2 c) b_2)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 (.f64 a 1) c) c) (pow.f64 b_2 3)) (.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b_2 5) (.f64 a a)) -1)))))
(+.f64 (fma.f64 (/.f64 b_2 a) 2 (/.f64 -1/2 (/.f64 b_2 c))) (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (.f64 1/16 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b_2 5)) (*.f64 a a)))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) -1/2)
(/.f64 (*.f64 c 1/2) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) -1/2))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a 1) c) c) (pow.f64 b_2 3)) 1/8 (/.f64 (.f64 c 1/2) b_2))
(fma.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) 1/8 (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))) -1/16)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a 1) c) c) (pow.f64 b_2 3)) 1/8 (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b_2 5) (.f64 a a)) -1)) -1/16 (/.f64 (*.f64 c 1/2) b_2)))
(fma.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) 1/8 (fma.f64 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b_2 5)) (.f64 a a)) -1/16 (/.f64 1/2 (/.f64 b_2 c))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 a a)))) -1/16))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a 1) c) c) (pow.f64 b_2 3)) 1/8 (fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 1 (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (.f64 (.f64 (.f64 a 1) c) c) a)) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b_2 5) (.f64 a a)) -1)) -1/16 (/.f64 (*.f64 c 1/2) b_2))))
(fma.f64 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 5/64)) (.f64 a (pow.f64 b_2 7))) (fma.f64 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b_2 5)) (*.f64 a a)) -1/16 (/.f64 1/2 (/.f64 b_2 c)))))
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) 2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) 2)
(*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3))
(*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))))
(.f64 (.f64 (sqrt.f64 -1) -1) (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))))
(*.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3)) (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) b_2))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3) (.f64 b_2 (.f64 3 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (.f64 a a)))))
(fma.f64 b_2 (/.f64 (.f64 3 (.f64 c -1)) (.f64 a a)) (.f64 (*.f64 (sqrt.f64 -1) -1) (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(fma.f64 b_2 (/.f64 -3 (/.f64 (.f64 a a) c)) (.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) b_2) (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (sqrt.f64 -1))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (sqrt.f64 -1)))) (pow.f64 b_2 2))))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3) (fma.f64 (.f64 3 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (.f64 a a))) b_2 (.f64 (.f64 b_2 b_2) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c (pow.f64 a 5)))) 9/2))))
(fma.f64 (.f64 (sqrt.f64 -1) -1) (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 b_2 (/.f64 (.f64 3 (.f64 c -1)) (.f64 a a)) (.f64 b_2 (.f64 b_2 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (.f64 (sqrt.f64 -1) 9/2))))))
(fma.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 b_2 (+.f64 (/.f64 -3 (/.f64 (.f64 a a) c)) (.f64 b_2 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (*.f64 (sqrt.f64 -1) 9/2))))))
(+.f64 (.f64 4 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3))) (+.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) b_2) (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (sqrt.f64 -1))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (sqrt.f64 -1)))) (pow.f64 b_2 2)))))
(fma.f64 4 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1) 3) (fma.f64 (.f64 3 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (.f64 a a))) b_2 (.f64 (.f64 b_2 b_2) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c (pow.f64 a 5)))) 9/2)))))
(fma.f64 4 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)) (fma.f64 (.f64 (sqrt.f64 -1) -1) (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 b_2 (/.f64 (.f64 3 (.f64 c -1)) (.f64 a a)) (.f64 b_2 (.f64 b_2 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (.f64 (sqrt.f64 -1) 9/2)))))))
(fma.f64 4 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 b_2 (+.f64 (/.f64 -3 (/.f64 (.f64 a a) c)) (.f64 b_2 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (*.f64 (sqrt.f64 -1) 9/2)))))))
(*.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(/.f64 (*.f64 8 (pow.f64 b_2 3)) (pow.f64 a 3))
(/.f64 8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 3)))
(*.f64 (/.f64 8 (pow.f64 a 3)) (pow.f64 b_2 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (.f64 4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2)))) b_2) (.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3))))
(fma.f64 (.f64 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (.f64 a a)) 6) b_2 (/.f64 (.f64 8 (pow.f64 b_2 3)) (pow.f64 a 3)))
(fma.f64 b_2 (.f64 6 (.f64 (/.f64 c a) (/.f64 -1 a))) (/.f64 8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 3))))
(fma.f64 b_2 (/.f64 -6 (/.f64 (.f64 a a) c)) (.f64 (/.f64 8 (pow.f64 a 3)) (pow.f64 b_2 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (.f64 4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2)))) b_2) (+.f64 (.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/4 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 a b_2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (.f64 a b_2))) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (*.f64 a b_2))))))
(fma.f64 (.f64 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (.f64 a a)) 6) b_2 (fma.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)) (fma.f64 2 (/.f64 (.f64 (.f64 (.f64 c c) (pow.f64 (sqrt.f64 -1) 4)) -1/4) (.f64 a b_2)) (.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 -1) 4)))))))
(fma.f64 b_2 (.f64 6 (.f64 (/.f64 c a) (/.f64 -1 a))) (fma.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 a (/.f64 1 b_2))) (.f64 2 (/.f64 (.f64 (.f64 c c) -1/4) (*.f64 a b_2))))))
(fma.f64 b_2 (/.f64 -6 (/.f64 (.f64 a a) c)) (fma.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)) (fma.f64 1/2 (.f64 (/.f64 c (.f64 a b_2)) c) (.f64 (/.f64 2 b_2) (/.f64 (*.f64 c c) (/.f64 a -1/4))))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2))) (.f64 4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 a 2)))) b_2) (+.f64 (.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/4 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (.f64 a b_2))) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (.f64 a b_2)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) a))) (.f64 1/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) a)))) (.f64 a (pow.f64 b_2 3)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/4 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 a b_2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3)))))))))))
(fma.f64 (.f64 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (.f64 a a)) 6) b_2 (fma.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (.f64 (.f64 (.f64 c c) (pow.f64 (sqrt.f64 -1) 4)) -1/4)) (pow.f64 b_2 3)) (+.f64 (.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 a b_2) (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 a (pow.f64 (sqrt.f64 -1) 6))) 1/8) (.f64 a (pow.f64 b_2 3))) (fma.f64 2 (/.f64 (.f64 (.f64 (.f64 c c) (pow.f64 (sqrt.f64 -1) 4)) -1/4) (.f64 a b_2)) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 3) (pow.f64 (sqrt.f64 -1) 6))) 0)))))))
(fma.f64 b_2 (.f64 6 (.f64 (/.f64 c a) (/.f64 -1 a))) (fma.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) 1/4) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 a (/.f64 1 b_2))) (fma.f64 2 (.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a -1)) a) (/.f64 1/8 (pow.f64 b_2 3))) (fma.f64 2 (/.f64 (.f64 (.f64 c c) -1/4) (.f64 a b_2)) 0))))))
(fma.f64 b_2 (/.f64 -6 (/.f64 (.f64 a a) c)) (+.f64 (fma.f64 1/2 (.f64 (/.f64 c (.f64 a b_2)) c) (.f64 (/.f64 2 a) (+.f64 (/.f64 (.f64 (.f64 c c) -1/4) b_2) (/.f64 (.f64 (pow.f64 c 3) (.f64 (neg.f64 a) 1/8)) (pow.f64 b_2 3))))) (fma.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)) (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))))))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3)))
(*.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 3) (pow.f64 (sqrt.f64 -1) 6))))
(/.f64 (*.f64 1/8 (pow.f64 c 3)) (pow.f64 b_2 3))
(/.f64 1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a)))) (pow.f64 b_2 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3))))
(fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -1) 8))) -3/32) (pow.f64 b_2 5)) (.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 3) (pow.f64 (sqrt.f64 -1) 6)))))
(-.f64 (/.f64 (.f64 1/8 (pow.f64 c 3)) (pow.f64 b_2 3)) (/.f64 (.f64 (*.f64 a 1) (pow.f64 c 4)) (/.f64 (pow.f64 b_2 5) -3/32)))
(-.f64 (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))) (.f64 (/.f64 (.f64 a (pow.f64 c 4)) (pow.f64 b_2 5)) -3/32))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a)))) (pow.f64 b_2 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 5) (.f64 (pow.f64 (sqrt.f64 -1) 10) (pow.f64 a 2)))) (.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2)))) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2))))))))) (pow.f64 b_2 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3)))))
(fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -1) 8))) -3/32) (pow.f64 b_2 5)) (fma.f64 -1 (/.f64 (fma.f64 1/32 (.f64 (pow.f64 c 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 10))) (.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 (pow.f64 c 4) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 8))) 5/64))))) (pow.f64 b_2 7)) (.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 3) (pow.f64 (sqrt.f64 -1) 6))))))
(-.f64 (-.f64 (/.f64 (.f64 1/8 (pow.f64 c 3)) (pow.f64 b_2 3)) (/.f64 (fma.f64 1/2 (.f64 c (.f64 (.f64 1 (.f64 (.f64 a a) (pow.f64 c 4))) -5/64)) (.f64 1/32 (.f64 (.f64 a a) (.f64 (pow.f64 c 5) (pow.f64 (sqrt.f64 -1) 10))))) (pow.f64 b_2 7))) (/.f64 (.f64 (.f64 a 1) (pow.f64 c 4)) (/.f64 (pow.f64 b_2 5) -3/32)))
(+.f64 (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))) (-.f64 (/.f64 (.f64 (.f64 a (pow.f64 c 4)) 3/32) (pow.f64 b_2 5)) (/.f64 (fma.f64 1/2 (.f64 c (.f64 (.f64 (.f64 a a) (pow.f64 c 4)) -5/64)) (.f64 1/32 (.f64 (.f64 a a) (.f64 (pow.f64 c 5) (pow.f64 (sqrt.f64 -1) 10))))) (pow.f64 b_2 7))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) a)))) (pow.f64 b_2 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 5) (.f64 (pow.f64 (sqrt.f64 -1) 10) (pow.f64 a 2)))) (.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2)))) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2))))))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/64 (.f64 (pow.f64 c 5) (.f64 (pow.f64 (sqrt.f64 -1) 10) (pow.f64 a 3)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))))) a)) (.f64 -1/4 (/.f64 (.f64 c (.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 (sqrt.f64 -1) 2))) a)))) (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2)))) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 2))))) a)))) (+.f64 (.f64 -1/128 (.f64 (pow.f64 c 6) (.f64 (pow.f64 (sqrt.f64 -1) 12) (pow.f64 a 3)))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))))) a))))) (pow.f64 b_2 9))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 b_2 3))))))
(fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -1) 8))) -3/32) (pow.f64 b_2 5)) (fma.f64 -1 (/.f64 (fma.f64 1/32 (.f64 (pow.f64 c 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 10))) (.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 (pow.f64 c 4) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 8))) 5/64))))) (pow.f64 b_2 7)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 -1/64 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 10))) (.f64 -1/4 (+.f64 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))))) a) (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))))) a))))) (fma.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a (.f64 (.f64 (pow.f64 c 4) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 8))) 5/64)))) (fma.f64 -1/128 (.f64 (pow.f64 c 6) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 12))) (.f64 -1/8 (/.f64 (.f64 (.f64 (.f64 c c) (pow.f64 (sqrt.f64 -1) 4)) (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4)))))) a))))) (pow.f64 b_2 9)) (*.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 3) (pow.f64 (sqrt.f64 -1) 6)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 1/8 (pow.f64 c 3)) (pow.f64 b_2 3)) (/.f64 (+.f64 (.f64 (fma.f64 -1/64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 5) (pow.f64 (sqrt.f64 -1) 10))) (.f64 (/.f64 (.f64 c -1) (/.f64 a (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 1 (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (.f64 (.f64 (.f64 a 1) c) c) a)) 2)))) -1/2)) (.f64 -1/2 c)) (fma.f64 -1/8 (.f64 (.f64 c c) (.f64 1 (.f64 a (.f64 (pow.f64 c 4) (.f64 (.f64 a (.f64 a 1)) 5/64))))) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 a c)) (fma.f64 1 (pow.f64 (.f64 -1/8 (.f64 (.f64 (.f64 (.f64 a 1) c) c) a)) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 1 (pow.f64 a 4)))))) (.f64 -1/128 (.f64 (pow.f64 a 3) (.f64 1 (pow.f64 c 6))))))) (pow.f64 b_2 9))) (/.f64 (fma.f64 1/2 (.f64 c (.f64 (.f64 1 (.f64 (.f64 a a) (pow.f64 c 4))) -5/64)) (.f64 1/32 (.f64 (.f64 a a) (.f64 (pow.f64 c 5) (pow.f64 (sqrt.f64 -1) 10))))) (pow.f64 b_2 7))) (/.f64 (.f64 (*.f64 a 1) (pow.f64 c 4)) (/.f64 (pow.f64 b_2 5) -3/32)))
(+.f64 (/.f64 1/8 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))) (-.f64 (-.f64 (/.f64 (.f64 (.f64 a (pow.f64 c 4)) 3/32) (pow.f64 b_2 5)) (/.f64 (fma.f64 1/2 (.f64 c (.f64 (.f64 (.f64 a a) (pow.f64 c 4)) -5/64)) (.f64 1/32 (.f64 (.f64 a a) (.f64 (pow.f64 c 5) (pow.f64 (sqrt.f64 -1) 10))))) (pow.f64 b_2 7))) (/.f64 (+.f64 (.f64 (fma.f64 -1/64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 5) (pow.f64 (sqrt.f64 -1) 10))) (/.f64 (.f64 c 1/2) (/.f64 a (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 5/64))))) (.f64 -1/2 c)) (fma.f64 -1/8 (.f64 (.f64 c c) (.f64 a (.f64 (.f64 a a) (.f64 (pow.f64 c 4) 5/64)))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 c a) c) (.f64 (pow.f64 a 4) (.f64 (pow.f64 c 4) 5/64))) (.f64 (pow.f64 a 3) (*.f64 -1/128 (pow.f64 c 6)))))) (pow.f64 b_2 9))))
(*.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(/.f64 (*.f64 8 (pow.f64 b_2 3)) (pow.f64 a 3))
(/.f64 8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 3)))
(*.f64 (/.f64 8 (pow.f64 a 3)) (pow.f64 b_2 3))
(*.f64 8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(/.f64 (*.f64 8 (pow.f64 b_2 3)) (pow.f64 a 3))
(/.f64 8 (/.f64 (pow.f64 a 3) (pow.f64 b_2 3)))
(*.f64 (/.f64 8 (pow.f64 a 3)) (pow.f64 b_2 3))

eval603.0ms (3.8%)

Compiler: Compiled 30213 to 15996 computations (47.1% saved)

prune234.0ms (1.5%)

Pruning

58 alts after pruning (49 fresh and 9 done)

	Pruned	Kept	Total
New	962	30	992
Fresh	18	19	37
Picked	0	1	1
Done	1	8	9
Total	981	58	1039

Error

1.1b

Counts

1039 → 58

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.8b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)
✓	34.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	51.6b	(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2) a)
✓	34.6b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	54.8b	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
	57.7b	(.f64 (/.f64 1 a) (+.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)))
	51.7b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
	47.0b	(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
	51.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2) b_2) a)
	47.5b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c)) 3) a)
	54.3b	(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
	58.2b	(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
	47.3b	(.f64 (/.f64 -1/2 a) (/.f64 (.f64 a c) b_2))
	45.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	41.1b	(/.f64 (*.f64 c -1/2) b_2)
	59.4b	(/.f64 (neg.f64 b_2) a)
	45.9b	(/.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	47.1b	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
✓	55.4b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))
	46.9b	(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 c (cbrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))
	47.1b	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	62.3b	(*.f64 (/.f64 b_2 a) 2)
	44.8b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)
	57.8b	(/.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 -1/2 (.f64 a c)) 3) (pow.f64 b_2 3))) a)
▶	47.3b	(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
▶	60.8b	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
	52.5b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 b_2 b_2) 1/4) 2)) a)
	46.8b	(/.f64 -2 (/.f64 a b_2))
	47.4b	(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
	63.3b	(.f64 (/.f64 1 a) (+.f64 b_2 (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))
✓	46.5b	(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	57.5b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
	55.7b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))) a)
	62.3b	(*.f64 (/.f64 2 a) b_2)
	53.1b	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a (*.f64 -1/2 a)) (/.f64 b_2 c))) -1))
	47.5b	(.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (.f64 (/.f64 (*.f64 -1/2 a) b_2) c) (cbrt.f64 a)))
	41.3b	(/.f64 -1/2 (/.f64 b_2 c))
	61.9b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)
	57.8b	(/.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) a)
✓	46.9b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	43.7b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	48.7b	(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
✓	46.8b	(*.f64 (/.f64 -2 a) b_2)
	63.6b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 3) a)
✓	57.8b	(*.f64 1/2 (/.f64 c b_2))
	51.7b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (.f64 -1/2 a) (/.f64 (.f64 a b_2) c)))) 1/3))
	57.8b	(/.f64 1/2 (/.f64 b_2 c))
	47.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c)) 2) 1) (/.f64 (cbrt.f64 (.f64 (/.f64 (*.f64 -1/2 a) b_2) c)) a))
✓	31.5b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	46.8b	(/.f64 (*.f64 b_2 -2) a)
	46.0b	(.f64 (/.f64 (.f64 -1/2 (*.f64 a c)) 1) (/.f64 (/.f64 1 b_2) a))
▶	45.4b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	46.0b	(.f64 (.f64 -1/2 (.f64 a c)) (/.f64 1 (.f64 a b_2)))
✓	45.4b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
▶	57.5b	(/.f64 0 a)
	46.7b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
	43.8b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	60.8b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))

Compiler

Compiled 1605 to 1129 computations (29.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)
✓	4.1b	(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
✓	12.1b	(+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
✓	14.4b	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 69 to 12 computations (82.6% saved)

series23.0ms (0.1%)

Counts

4 → 38

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	0	(+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
1.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)
1.0ms	c	@	-inf	(+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
1.0ms	c	@	inf	(+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
1.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`prod-diff_binary64`
565×	`log-prod_binary64`
266×	`fma-def_binary64`
197×	`pow1/3_binary64`
195×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	265	42
2	3677	42

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

938×	`times-frac_binary64`
677×	`associate-/l*_binary64`
618×	`fma-def_binary64`
495×	`associate-/r*_binary64`
308×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1592
1	480	1297
2	1830	1205
3	7193	1205

Stop Event

1×	node limit

Counts

193 → 223

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)) b_2))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) b_2))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))) b_2)
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))) (neg.f64 b_2))))
(.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(.f64 1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(/.f64 (.f64 (.f64 -1/2 c) a) b_2)
(*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 1 (.f64 a (.f64 c c))) a) (pow.f64 b_2 3)) (/.f64 (.f64 (.f64 -1/2 c) a) b_2))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 1 (.f64 a (.f64 c c))) a) (pow.f64 b_2 3)) (/.f64 (.f64 (.f64 -1/2 c) a) b_2)))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (fma.f64 1/16 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (fma.f64 1/16 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7)) (.f64 1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2))))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 1 (.f64 a (.f64 c c))) a) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 a 4) (.f64 1 (pow.f64 c 4))) (pow.f64 (.f64 -1/8 (.f64 (.f64 1 (.f64 a (.f64 c c))) a)) 2)) (pow.f64 b_2 7)) (/.f64 (.f64 (*.f64 -1/2 c) a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (fma.f64 1/16 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (fma.f64 1/16 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (pow.f64 b_2 7)) (.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 -2 b_2 (.f64 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2))
(fma.f64 b_2 -2 (/.f64 (.f64 (.f64 1/2 c) a) b_2))
(fma.f64 b_2 -2 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2)))
(fma.f64 b_2 -2 (fma.f64 (/.f64 (.f64 (.f64 1 (.f64 a (.f64 c c))) a) (pow.f64 b_2 3)) 1/8 (/.f64 (.f64 (.f64 1/2 c) a) b_2)))
(fma.f64 b_2 -2 (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) 1/8 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 -2 b_2 (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2))))
(fma.f64 b_2 -2 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) -1/16 (fma.f64 (/.f64 (.f64 (.f64 1 (.f64 a (.f64 c c))) a) (pow.f64 b_2 3)) 1/8 (/.f64 (.f64 (.f64 1/2 c) a) b_2))))
(fma.f64 b_2 -2 (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) 1/8 (fma.f64 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a))))
(fma.f64 b_2 -2 (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) 1/8 (fma.f64 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 b_2 (.f64 1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))
(+.f64 b_2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (+.f64 b_2 (.f64 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (.f64 (.f64 1 (.f64 a (.f64 c c))) a) (pow.f64 b_2 3)) (/.f64 (.f64 (.f64 -1/2 c) a) b_2)))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (+.f64 b_2 (.f64 1/2 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 1 (.f64 a (.f64 c c))) a) (pow.f64 b_2 3)) (/.f64 (.f64 (.f64 -1/2 c) a) b_2))) b_2)
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (fma.f64 1/16 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (fma.f64 1/16 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 -1 b_2 (.f64 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2))
(-.f64 (/.f64 (.f64 (.f64 1/2 c) a) b_2) b_2)
(-.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)
(fma.f64 (/.f64 1/2 (/.f64 b_2 c)) a (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2)))
(-.f64 (fma.f64 (/.f64 (.f64 (.f64 1 (.f64 a (.f64 c c))) a) (pow.f64 b_2 3)) 1/8 (/.f64 (.f64 (.f64 1/2 c) a) b_2)) b_2)
(-.f64 (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) 1/8 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a)) b_2)
(-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 -1 b_2 (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 (/.f64 c (/.f64 b_2 (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) -1/2))))
(-.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) -1/16 (fma.f64 (/.f64 (.f64 (.f64 1 (.f64 a (.f64 c c))) a) (pow.f64 b_2 3)) 1/8 (/.f64 (.f64 (.f64 1/2 c) a) b_2))) b_2)
(-.f64 (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) 1/8 (fma.f64 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a))) b_2)
(fma.f64 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b_2 3)) b_2)))
b_2
b_2
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 (neg.f64 b_2) a)))
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) (/.f64 b_2 a))
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))) (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (/.f64 b_2 a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/2 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 (neg.f64 b_2) a))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (-.f64 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) (/.f64 b_2 a)))
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 1/2 (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (*.f64 1/8 (/.f64 (pow.f64 b_2 4) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))))))) (/.f64 b_2 a))
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2) (.f64 -1/8 (/.f64 (.f64 (.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3))))
(fma.f64 -1/8 (/.f64 (.f64 1 (.f64 a (.f64 c c))) (pow.f64 b_2 3)) (/.f64 (.f64 -1/2 c) b_2))
(fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (/.f64 -1/2 (/.f64 b_2 c)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))))))
(+.f64 (/.f64 (.f64 -1/2 c) b_2) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a (.f64 a -1)))) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 1 (.f64 a (.f64 c c)))))))
(fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 1/16 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 c))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7))) (fma.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a (.f64 a -1)))) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (.f64 1 (.f64 a (.f64 c c)))))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 a 4) (.f64 1 (pow.f64 c 4))) (pow.f64 (.f64 -1/8 (.f64 (.f64 1 (.f64 a (.f64 c c))) a)) 2)) (.f64 a (pow.f64 b_2 7))) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 1/16 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 c)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -2 (/.f64 a b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 -2 (/.f64 b_2 a) (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 a) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(fma.f64 1/8 (/.f64 (.f64 1 (.f64 a (.f64 c c))) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (.f64 1/2 c) b_2)))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (/.f64 1/2 (/.f64 b_2 c))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(fma.f64 1/8 (/.f64 (.f64 1 (.f64 a (.f64 c c))) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a (.f64 a -1)))) (/.f64 (.f64 1/2 c) b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/16 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 1/2 (/.f64 b_2 c)))))

localize3.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.0b	(.f64 (/.f64 (.f64 -1/2 a) b_2) c)
✓	10.7b	(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
0.0ms	b_2	@	inf	(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
0.0ms	a	@	inf	(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
0.0ms	c	@	0	(.f64 (/.f64 (.f64 -1/2 a) b_2) c)
0.0ms	a	@	-inf	(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log-prod_binary64`
451×	`exp-prod_binary64`
353×	`pow-prod-down_binary64`
266×	`pow2_binary64`
211×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	196	23
2	2840	23

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
(.f64 (/.f64 (.f64 -1/2 a) b_2) c)

Outputs

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

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

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
9×	`associate-l_binary64`
9×	`associate-/r/_binary64`
8×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	612
1	19	612
2	34	612
3	57	612
4	80	612
5	90	612

Stop Event

1×

saturated

Counts

167 → 99

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -2 (/.f64 b_2 a))
✓	0.2b	(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3)
✓	33.9b	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)

Compiler

Compiled 32 to 19 computations (40.6% saved)

series14.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	0	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
2.0ms	b_2	@	-inf	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
2.0ms	a	@	0	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
2.0ms	a	@	-inf	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
2.0ms	a	@	inf	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1_binary64`
867×	`add-log-exp_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	228	17
2	2411	17

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (*.f64 (/.f64 1 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2)) (*.f64 (cbrt.f64 (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -8 1/3) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2))) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 b_2 a) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) (*.f64 -2 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (pow.f64 (/.f64 b_2 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b_2 a) 3) -8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3/2) (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) 3) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) (pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) -2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (/.f64 b_2 a)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a)))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 -2 b_2) 3) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 b_2) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (*.f64 -2 b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -8) (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 -2 (/.f64 b_2 a)))))))))

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1327×	`associate-/r/_binary64`
761×	`associate-/l/_binary64`
652×	`associate-l_binary64`
570×	`associate-r_binary64`
410×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	512
1	37	512
2	102	512
3	396	440
4	1814	440
5	4631	440
6	5195	440
7	5307	440
8	5439	440
9	5619	440
10	6659	440
11	7619	440

Stop Event

1×	node limit

Counts

112 → 68

Calls

Call 1

Inputs
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))

Outputs
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
✓	0.1b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	0.4b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
	14.4b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 58 to 12 computations (79.3% saved)

series56.0ms (0.4%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	c	@	-inf	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
9.0ms	c	@	inf	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
8.0ms	a	@	-inf	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
6.0ms	a	@	inf	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
3.0ms	b_2	@	-inf	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`prod-diff_binary64`
590×	`log-prod_binary64`
307×	`pow2_binary64`
223×	`fma-def_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	262	30
2	3559	30

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
(/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))

Outputs

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

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

497×	`distribute-rgt-in_binary64`
495×	`distribute-lft-in_binary64`
414×	`associate-*l/_binary64`
330×	`associate-r_binary64`
256×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	1948
1	761	1472
2	3904	1313

Stop Event

1×	node limit

Counts

114 → 132

Calls

Call 1

Inputs
(*.f64 2 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)))
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(*.f64 2 (/.f64 b_2 a))
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (pow.f64 b_2 3)))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (pow.f64 b_2 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2)))) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a))) (.f64 1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))))))) (.f64 -4 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (.f64 1/128 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))))) (pow.f64 a 2))))) (pow.f64 b_2 5))))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))) (pow.f64 b_2 5))) (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (.f64 -1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2)))))))) (pow.f64 b_2 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 a (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))))) (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 7))) (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))))))
(*.f64 2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 a b_2))
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 b_2 3)) (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))))))
(*.f64 1/2 (/.f64 a b_2))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))))))
(.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1/2 (/.f64 a b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1/2 (/.f64 a b_2)))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a (pow.f64 b_2 5)))))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 -1/2 (/.f64 a b_2)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5)))))))))
(*.f64 1/2 (/.f64 a b_2))

Outputs
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a)))
(fma.f64 -1 (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1))) (neg.f64 (/.f64 (.f64 c (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (pow.f64 (sqrt.f64 -1) 2))) a))) (*.f64 b_2 b_2)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)))
(fma.f64 (.f64 1 (+.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (.f64 (/.f64 c a) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1 (sqrt.f64 -1)) 1/2))))) (*.f64 b_2 b_2) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)))
(fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (.f64 (/.f64 c a) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 -1/2 (sqrt.f64 -1))))) (*.f64 b_2 b_2) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 b_2 a)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (/.f64 b_2 a) (.f64 -1 (.f64 (pow.f64 b_2 3) (+.f64 (/.f64 (.f64 c (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 (sqrt.f64 -1) 2))) a) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1 (/.f64 (.f64 c (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (sqrt.f64 -1))))))))))
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(+.f64 (.f64 1 (/.f64 b_2 c)) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1 (sqrt.f64 -1)) 1/2)) (*.f64 b_2 b_2) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 -1/2 (sqrt.f64 -1))) (.f64 b_2 b_2) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 b_2 3)) (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 -1 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (.f64 b_2 b_2)) (fma.f64 (-.f64 (/.f64 1/2 (.f64 (.f64 c c) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1))))) (pow.f64 b_2 3) (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 a c))))))
(+.f64 (.f64 1 (/.f64 b_2 c)) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (.f64 (/.f64 -1 (sqrt.f64 -1)) 1/2)) (.f64 b_2 b_2) (fma.f64 (pow.f64 b_2 3) (+.f64 (/.f64 1/2 (.f64 a (.f64 (.f64 c c) 1))) (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (/.f64 -1/2 (sqrt.f64 -1))) (.f64 b_2 b_2) (fma.f64 (pow.f64 b_2 3) (+.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) -1/2) 1))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -1)))))
(*.f64 1/2 (/.f64 a b_2))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 a b_2) (.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))))))
(fma.f64 1/2 (/.f64 a b_2) (.f64 -1/8 (.f64 (/.f64 c (pow.f64 b_2 3)) (.f64 a (.f64 a -1)))))
(fma.f64 1/2 (/.f64 a b_2) (/.f64 (.f64 (neg.f64 (.f64 a a)) -1/8) (/.f64 (pow.f64 b_2 3) c)))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5)))))
(fma.f64 1/2 (/.f64 a b_2) (fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a)))) (.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 4)))))))
(fma.f64 1/2 (/.f64 a b_2) (fma.f64 -1/8 (.f64 (/.f64 c (pow.f64 b_2 3)) (.f64 a (.f64 a -1))) (/.f64 (.f64 (*.f64 c c) 1/16) (/.f64 (/.f64 (pow.f64 b_2 5) 1) (pow.f64 a 3)))))
(fma.f64 1/2 (/.f64 a b_2) (fma.f64 -1/8 (.f64 (/.f64 c (pow.f64 b_2 3)) (neg.f64 (.f64 a a))) (.f64 (/.f64 1/16 (pow.f64 b_2 5)) (.f64 (pow.f64 a 3) (*.f64 c c)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))))))
(fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) 5/128) (pow.f64 b_2 7)) (fma.f64 1/2 (/.f64 a b_2) (fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a)))) (.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 4))))))))
(-.f64 (fma.f64 1/2 (/.f64 a b_2) (fma.f64 -1/8 (.f64 (/.f64 c (pow.f64 b_2 3)) (.f64 a (.f64 a -1))) (/.f64 (.f64 (.f64 c c) 1/16) (/.f64 (/.f64 (pow.f64 b_2 5) 1) (pow.f64 a 3))))) (/.f64 (.f64 -1 (*.f64 (pow.f64 a 4) (pow.f64 c 3))) (/.f64 (pow.f64 b_2 7) 5/128)))
(+.f64 (fma.f64 1/2 (/.f64 a b_2) (fma.f64 -1/8 (.f64 (/.f64 c (pow.f64 b_2 3)) (neg.f64 (.f64 a a))) (.f64 (/.f64 1/16 (pow.f64 b_2 5)) (.f64 (pow.f64 a 3) (.f64 c c))))) (/.f64 (.f64 (*.f64 (pow.f64 a 4) (neg.f64 (pow.f64 c 3))) -5/128) (pow.f64 b_2 7)))
(.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 2 (/.f64 b_2 c))
(+.f64 (.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1/2 (/.f64 a b_2)))
(fma.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (.f64 -1/2 a) b_2))
(fma.f64 -1/2 (/.f64 a b_2) (*.f64 2 (/.f64 b_2 c)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1/2 (/.f64 a b_2)))))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a)))) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a)))) (fma.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (.f64 -1/2 a) b_2))))
(+.f64 (fma.f64 -1/2 (/.f64 a b_2) (.f64 2 (/.f64 b_2 c))) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) (.f64 a (*.f64 a -1))) 1/8))
(+.f64 (fma.f64 -1/2 (/.f64 a b_2) (.f64 2 (/.f64 b_2 c))) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) (neg.f64 (.f64 a a))) 1/8))
(+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a (pow.f64 b_2 5)))))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (+.f64 (.f64 -1/8 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 1/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 -1/2 (/.f64 a b_2)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5)))))))))
(fma.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -1) 8))))) (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a (pow.f64 b_2 5))))) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a))) 1/8))))) (fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a)))) (fma.f64 1/4 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a a)))) (fma.f64 -2 (/.f64 b_2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/2 (/.f64 a b_2) (.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 4)))))))))))
(fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 1 (.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (.f64 a (.f64 (.f64 a (.f64 (.f64 c c) 1)) -1/8)) 2)) (.f64 (.f64 a 1) (.f64 (pow.f64 b_2 5) (.f64 c c)))) (fma.f64 1/4 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 (.f64 c (.f64 (.f64 a (.f64 a -1)) 1/8)) (.f64 a -1))) (+.f64 (+.f64 (.f64 2 (/.f64 b_2 c)) (fma.f64 -1/2 (/.f64 a b_2) (/.f64 (.f64 (.f64 c c) 1/16) (/.f64 (/.f64 (pow.f64 b_2 5) 1) (pow.f64 a 3))))) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) (.f64 a (*.f64 a -1))) 1/8))))
(fma.f64 -2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (.f64 a (.f64 (pow.f64 b_2 5) (.f64 c c)))) (fma.f64 1/4 (.f64 (/.f64 c (pow.f64 b_2 5)) (.f64 (.f64 c (.f64 (neg.f64 (.f64 a a)) 1/8)) (neg.f64 a))) (+.f64 (+.f64 (fma.f64 -1/2 (/.f64 a b_2) (.f64 2 (/.f64 b_2 c))) (.f64 (.f64 (/.f64 c (pow.f64 b_2 3)) (neg.f64 (.f64 a a))) 1/8)) (.f64 (/.f64 1/16 (pow.f64 b_2 5)) (.f64 (pow.f64 a 3) (.f64 c c))))))
(*.f64 1/2 (/.f64 a b_2))

eval200.0ms (1.3%)

Compiler: Compiled 11756 to 6105 computations (48.1% saved)

prune147.0ms (0.9%)

Pruning

66 alts after pruning (53 fresh and 13 done)

	Pruned	Kept	Total
New	556	21	577
Fresh	12	32	44
Picked	0	1	1
Done	1	12	13
Total	569	66	635

Error

1.0b

Counts

635 → 66

Alt Table

Click to see full alt table

Status	Error	Program
✓	36.8b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)
✓	34.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	51.6b	(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2) a)
✓	34.6b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	60.5b	(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) 3) 1/3)
	57.7b	(.f64 (/.f64 1 a) (+.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)))
	51.7b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
	47.0b	(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
	51.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2) b_2) a)
	51.5b	(exp.f64 (log.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)))
	51.5b	(pow.f64 (exp.f64 1) (log.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)))
	57.3b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))) a)
	43.8b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	47.5b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c)) 3) a)
	54.8b	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
	58.2b	(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
	45.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	41.1b	(/.f64 (*.f64 c -1/2) b_2)
	59.4b	(/.f64 (neg.f64 b_2) a)
	46.9b	(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 c (cbrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))
	48.7b	(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
	62.3b	(pow.f64 (*.f64 1/2 (/.f64 a b_2)) -1)
	45.9b	(/.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	47.1b	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
✓	55.4b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))
	47.1b	(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)))
	45.3b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)) 3)
	44.8b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)
✓	47.3b	(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
	62.3b	(*.f64 (/.f64 b_2 a) 2)
✓	60.8b	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
	52.5b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 b_2 b_2) 1/4) 2)) a)
	45.2b	(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (pow.f64 a -1)))
	61.1b	(pow.f64 (exp.f64 (.f64 3 (log.f64 (.f64 -2 (/.f64 b_2 a))))) 1/3)
	47.4b	(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
	54.5b	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
	63.3b	(.f64 (/.f64 1 a) (+.f64 b_2 (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))
	45.1b	(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)
	57.8b	(/.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) a)
	46.8b	(/.f64 -2 (/.f64 a b_2))
	47.1b	(.f64 (.f64 -1/2 (/.f64 a b_2)) (/.f64 1 (/.f64 a c)))
	62.3b	(*.f64 (/.f64 2 a) b_2)
	54.3b	(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
	41.3b	(/.f64 -1/2 (/.f64 b_2 c))
	55.7b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))) a)
	61.9b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)
✓	46.9b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	43.7b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	57.8b	(/.f64 1/2 (/.f64 b_2 c))
✓	46.8b	(*.f64 (/.f64 -2 a) b_2)
✓	57.8b	(*.f64 1/2 (/.f64 c b_2))
	60.8b	(pow.f64 (sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 6)) 1/3)
	50.3b	(/.f64 (fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)) a)
	60.8b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 3) 1/3) 3) 1/3)
	51.7b	(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (.f64 -1/2 a) (/.f64 (.f64 a b_2) c)))) 1/3))
	63.6b	(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 c a)) b_2)))) a)
	47.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c)) 2) 1) (/.f64 (cbrt.f64 (.f64 (/.f64 (*.f64 -1/2 a) b_2) c)) a))
✓	31.5b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	46.8b	(/.f64 (*.f64 b_2 -2) a)
	46.0b	(.f64 (/.f64 (.f64 -1/2 (*.f64 a c)) 1) (/.f64 (/.f64 1 b_2) a))
✓	45.4b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	46.0b	(.f64 (.f64 -1/2 (.f64 a c)) (/.f64 1 (.f64 a b_2)))
✓	45.4b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
✓	57.5b	(/.f64 0 a)
	46.7b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
	60.8b	(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))

Compiler

Compiled 985 to 701 computations (28.8% saved)

regimes3.3s (20.9%)

Counts

105 → 3

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 b_2 a) 2)
(*.f64 (/.f64 2 a) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 2 a) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -2 a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)
(.f64 (/.f64 -1/2 a) (/.f64 (.f64 a c) b_2))
(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
(/.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)
(.f64 (.f64 -1/2 (/.f64 a b_2)) (/.f64 1 (/.f64 a c)))
(.f64 (.f64 -1/2 (.f64 a c)) (/.f64 1 (.f64 a b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) (/.f64 1 (neg.f64 a)))
(.f64 (/.f64 (.f64 -1/2 (*.f64 a c)) 1) (/.f64 (/.f64 1 b_2) a))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))) a)
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(.f64 (/.f64 1 a) (+.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)))
(.f64 (-.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)) (/.f64 1 (neg.f64 a)))
(pow.f64 (*.f64 1/2 (/.f64 a b_2)) -1)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (pow.f64 a -1)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(/.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))
(exp.f64 (log.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)) 3)
(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c)) 3) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 b_2 b_2) 1/4) 2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3/2))) a)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a (*.f64 -1/2 a)) (/.f64 b_2 c))) -1))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 c b_2)))))
(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (.f64 -1/2 a) (/.f64 (.f64 a b_2) c)))) 1/3))
(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (pow.f64 b_2 3) (.f64 -3/2 (.f64 c (*.f64 a b_2)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (+.f64 (.f64 -1 (pow.f64 b_2 3)) (.f64 3/2 (.f64 c (.f64 a b_2)))))) a)
(/.f64 (fma.f64 -1/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b_2 3)) (.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)) a)
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) a)
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
(/.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(/.f64 (/.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 6)) 1/3)
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)))
(pow.f64 (exp.f64 (.f64 3 (log.f64 (.f64 -2 (/.f64 b_2 a))))) 1/3)
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(pow.f64 (exp.f64 1) (log.f64 (.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)))
(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 -1/2 (.f64 a c)) 3) (pow.f64 b_2 3))) a)
(.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (.f64 (/.f64 (*.f64 -1/2 a) b_2) c) (cbrt.f64 a)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c)) 2) 1) (/.f64 (cbrt.f64 (.f64 (/.f64 (*.f64 -1/2 a) b_2) c)) a))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 a b_2) -2) 4)) 3) 1/3)
(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 c a)) b_2)))) a)
(exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 3) 1/3) 3) 1/3)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) 3) a)
(/.f64 (exp.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))) a)
(.f64 (/.f64 1 a) (+.f64 b_2 (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 3) 1/3)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b_2) 2)) (/.f64 c (cbrt.f64 b_2)) (/.f64 -2 (/.f64 a b_2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2) b_2) a)
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) a)
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2) a)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 2) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
(/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))) 2)) (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) a)
(/.f64 (pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))) 2)) (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) a)
(/.f64 (.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) a)
(/.f64 (.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) a)
(/.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) a)

Outputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (*.f64 c -1/2) b_2)

Calls

4 calls:

1.4s	c
1.2s	a
358.0ms	b_2
257.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
24.7b	7	`a`
10.4b	3	`b_2`
23.1b	11	`c`
13.9b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1391 to 626 computations (55% saved)

bsearch291.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
245.0ms	8.395644595230737e-29	1.830940387190323e-20
45.0ms	-5.069693941034387e+139	-2.0400925120787056e+137

Compiler

Compiled 438 to 303 computations (30.8% saved)

regimes992.0ms (6.3%)

Counts

41 → 3

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 b_2 a) 2)
(*.f64 (/.f64 2 a) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 2 a) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -2 a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)
(.f64 (/.f64 -1/2 a) (/.f64 (.f64 a c) b_2))
(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
(/.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)
(.f64 (.f64 -1/2 (/.f64 a b_2)) (/.f64 1 (/.f64 a c)))
(.f64 (.f64 -1/2 (.f64 a c)) (/.f64 1 (.f64 a b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) (/.f64 1 (neg.f64 a)))
(.f64 (/.f64 (.f64 -1/2 (*.f64 a c)) 1) (/.f64 (/.f64 1 b_2) a))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))) a)
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(.f64 (/.f64 1 a) (+.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)))
(.f64 (-.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)) (/.f64 1 (neg.f64 a)))
(pow.f64 (*.f64 1/2 (/.f64 a b_2)) -1)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (pow.f64 a -1)))

Outputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (*.f64 c -1/2) b_2)

Calls

3 calls:

464.0ms	c
397.0ms	a
120.0ms	b_2

Results

Error	Segments	Branch
32.3b	12	`a`
12.9b	3	`b_2`
32.5b	11	`c`

Compiler

Compiled 361 to 189 computations (47.6% saved)

bsearch793.0ms (5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
449.0ms	8.395644595230737e-29	1.830940387190323e-20
344.0ms	-2729992774379.0522	-30.996341609049864

Compiler

Compiled 459 to 338 computations (26.4% saved)

regimes534.0ms (3.4%)

Counts

39 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 b_2 a) 2)
(*.f64 (/.f64 2 a) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 2 a) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -2 a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)
(.f64 (/.f64 -1/2 a) (/.f64 (.f64 a c) b_2))
(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
(/.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)
(.f64 (.f64 -1/2 (/.f64 a b_2)) (/.f64 1 (/.f64 a c)))
(.f64 (.f64 -1/2 (.f64 a c)) (/.f64 1 (.f64 a b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) (/.f64 1 (neg.f64 a)))
(.f64 (/.f64 (.f64 -1/2 (*.f64 a c)) 1) (/.f64 (/.f64 1 b_2) a))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))) a)
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
(.f64 (/.f64 1 a) (+.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)))
(.f64 (-.f64 b_2 (-.f64 (.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)) (/.f64 1 (neg.f64 a)))
(pow.f64 (*.f64 1/2 (/.f64 a b_2)) -1)

Outputs
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (*.f64 c -1/2) b_2)

Calls

3 calls:

221.0ms	c
219.0ms	a
83.0ms	b_2

Results

Error	Segments	Branch
37.3b	6	`a`
25.2b	2	`b_2`
37.3b	5	`c`

Compiler

Compiled 340 to 179 computations (47.4% saved)

bsearch199.0ms (1.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
198.0ms	-2.745414708298316e-307	6.368516604238753e-300

Compiler

Compiled 262 to 195 computations (25.6% saved)

regimes447.0ms (2.8%)

Counts

28 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 b_2 a) 2)
(*.f64 (/.f64 2 a) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 2 a) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -2 a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)
(.f64 (/.f64 -1/2 a) (/.f64 (.f64 a c) b_2))
(/.f64 (.f64 (/.f64 (.f64 -1/2 a) b_2) c) a)
(/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) a)
(/.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) a)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (/.f64 (.f64 (.f64 -1/2 a) c) b_2) a)
(.f64 (.f64 -1/2 (/.f64 a b_2)) (/.f64 1 (/.f64 a c)))
(.f64 (.f64 -1/2 (.f64 a c)) (/.f64 1 (.f64 a b_2)))

Outputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 (*.f64 c -1/2) b_2)

Calls

3 calls:

216.0ms	c
133.0ms	a
61.0ms	b_2

Results

Error	Segments	Branch
37.3b	6	`a`
25.3b	2	`b_2`
37.3b	5	`c`

Compiler

Compiled 197 to 109 computations (44.7% saved)

bsearch52.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	1.2600652278437083e-260	3.688687916916575e-257

Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes139.0ms (0.9%)

Counts

14 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 b_2 a) 2)
(*.f64 (/.f64 2 a) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 2 a) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 2 (/.f64 b_2 a))

Outputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -1/2 (/.f64 b_2 c))

Calls

3 calls:

62.0ms	c
55.0ms	a
19.0ms	b_2

Results

Error	Segments	Branch
37.5b	6	`a`
25.5b	2	`b_2`
37.5b	5	`c`

Compiler

Compiled 82 to 47 computations (42.7% saved)

bsearch62.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
62.0ms	1.2600652278437083e-260	3.688687916916575e-257

Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes40.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 b_2 a) 2)
(*.f64 (/.f64 2 a) b_2)
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 2 a) b_2)

Outputs
(/.f64 (*.f64 b_2 -2) a)
(/.f64 0 a)

Calls

3 calls:

22.0ms	b_2
8.0ms	a
7.0ms	c

Results

Error	Segments	Branch
46.8b	1	`a`
42.0b	2	`b_2`
46.8b	1	`c`

Compiler

Compiled 67 to 40 computations (40.3% saved)

bsearch70.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
70.0ms	-2.745414708298316e-307	6.368516604238753e-300

Compiler

Compiled 182 to 145 computations (20.3% saved)

regimes53.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 1/2 (/.f64 b_2 c))
(*.f64 (/.f64 b_2 a) 2)
(*.f64 (/.f64 2 a) b_2)
(/.f64 1/2 (/.f64 b_2 c))

Outputs
(/.f64 -2 (/.f64 a b_2))
(/.f64 0 a)

Calls

3 calls:

27.0ms	b_2
11.0ms	c
10.0ms	a

Results

Error	Segments	Branch
46.8b	1	`a`
42.0b	2	`b_2`
46.8b	1	`c`

Compiler

Compiled 47 to 30 computations (36.2% saved)

bsearch112.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
112.0ms	-2.745414708298316e-307	6.368516604238753e-300

Compiler

Compiled 182 to 145 computations (20.3% saved)

regimes32.0ms (0.2%)

Accuracy

Total -7.8b remaining (-14.3%)

Threshold costs -7.8b (-14.3%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)

Outputs
(/.f64 (neg.f64 b_2) a)
(/.f64 0 a)

Calls

3 calls:

19.0ms	b_2
6.0ms	a
5.0ms	c

Results

Error	Segments	Branch
57.5b	1	`a`
54.6b	2	`b_2`
57.5b	1	`c`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch88.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
88.0ms	-2.745414708298316e-307	6.368516604238753e-300

Compiler

Compiled 172 to 135 computations (21.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	211
1	77	207
2	92	207
3	100	207
4	104	207
5	105	207

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -209999999999999990370328902976819502789389938116242460347468745407306389332525597204095495374039111033899135011825590281735882407600455680) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 1895563341875103/22300745198530623141535718272648361505980416) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -31) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 1895563341875103/22300745198530623141535718272648361505980416) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (/.f64 (*.f64 c -1/2) b_2)))
(if (<=.f64 b_2 2337422166960921/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (/.f64 (*.f64 c -1/2) b_2))
(if (<=.f64 b_2 4868762398946291/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 c -1/2) b_2))
(if (<=.f64 b_2 4868762398946291/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (*.f64 b_2 -2) a) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 0) (/.f64 (*.f64 b_2 -2) a) (/.f64 0 a))
(if (<=.f64 b_2 0) (/.f64 -2 (/.f64 a b_2)) (/.f64 0 a))
(if (<=.f64 b_2 0) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)

Outputs
(if (<=.f64 b_2 -209999999999999990370328902976819502789389938116242460347468745407306389332525597204095495374039111033899135011825590281735882407600455680) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 1895563341875103/22300745198530623141535718272648361505980416) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -209999999999999990370328902976819502789389938116242460347468745407306389332525597204095495374039111033899135011825590281735882407600455680) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 1895563341875103/22300745198530623141535718272648361505980416) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -31) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 1895563341875103/22300745198530623141535718272648361505980416) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (/.f64 (*.f64 c -1/2) b_2)))
(if (<=.f64 b_2 -31) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 1895563341875103/22300745198530623141535718272648361505980416) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (*.f64 c -1/2) b_2)))
(if (<=.f64 b_2 2337422166960921/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (/.f64 (*.f64 c -1/2) b_2))
(if (<=.f64 b_2 4868762398946291/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (.f64 b_2 -2) a) (/.f64 (.f64 c -1/2) b_2))
(if (<=.f64 b_2 4868762398946291/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (*.f64 b_2 -2) a) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 0) (/.f64 (*.f64 b_2 -2) a) (/.f64 0 a))
(if (<=.f64 b_2 0) (/.f64 -2 (/.f64 a b_2)) (/.f64 0 a))
(if (<=.f64 b_2 0) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)

Compiler

Compiled 170 to 118 computations (30.6% saved)

soundness169.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

985×	`times-frac_binary64`
814×	`fma-def_binary64`
753×	`associate-l_binary64`
750×	`fma-def_binary64`
660×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	583	8295
1	2194	7035
0	178	2424
1	561	2350
2	1937	2254

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 76 to 63 computations (17.1% saved)

end153.0ms (1%)

Compiler: Compiled 146 to 94 computations (35.6% saved)