Details

analyze519.0ms (3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	95.2%	4.8%	7
6.2%	88.2%	5.6%	8
10.1%	80.4%	9.5%	9
15.2%	72.2%	12.6%	10
22.2%	62.5%	15.3%	11
29.1%	52.5%	18.5%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.3s (13.2%)

Results

857.0ms	5502×	body	256	valid
553.0ms	1212×	body	2048	valid
292.0ms	407×	body	4096	valid
271.0ms	722×	body	1024	valid
214.0ms	1611×	body	256	invalid
103.0ms	413×	body	512	valid

preprocess137.0ms (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)

simplify122.0ms (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

36.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.3b	(/.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)

localize14.0ms (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)
✓	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.5b	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	24.8b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series28.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
2.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
2.0ms	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)))
1.0ms	b_2	@	inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

rewrite167.0ms (1%)

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 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(-.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 (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 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (fma.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 (fma.f64 b_2 b_2 (.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 (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))))))) (#(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 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c))))))) (#(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)) (fma.f64 b_2 b_2 (-.f64 (.f64 b_2 b_2) (fma.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 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (+.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 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c)) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) 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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))))))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

985×	`times-frac_binary64`
814×	`fma-def_binary64`
759×	`associate-l_binary64`
658×	`associate-/l*_binary64`
567×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2424
1	561	2350
2	1936	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 (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 -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 (/.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 (*.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 (.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.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 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 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.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 c (/.f64 b_2 a))))
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 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 (*.f64 c a) b_2))) b_2)
(fma.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 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 (.f64 c a) b_2))) b_2))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 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 (*.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 (.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.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 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 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.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)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(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 (.f64 c a) b_2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.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 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 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.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 (/.f64 b_2 (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 -1/8 (.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))))) b_2))
(-.f64 (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)))))) b_2)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(+.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 c (/.f64 b_2 a))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.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 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)) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 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)) (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 c (/.f64 b_2 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)) (pow.f64 b_2 7)) (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)) (.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 -1/8 (.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))
(*.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 c (/.f64 b_2 a))))
(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 c (/.f64 b_2 a)))))
(fma.f64 b_2 -2 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 b_2 -2 (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 c (.f64 c (*.f64 a a))))))
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(+.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)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (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 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (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 (.f64 c -1/2) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (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 b_2 (/.f64 a -2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 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 b_2 (/.f64 a -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 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (/.f64 b_2 (/.f64 a -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 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (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 (.f64 c 1/2) b_2))))
(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 c (/.f64 (pow.f64 b_2 3) a)) c)))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(*.f64 (/.f64 -1/2 b_2) c)
(+.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 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 c -1/2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
(+.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 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (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 (.f64 c -1/2) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (.f64 a (.f64 a (pow.f64 c 3))))))
(+.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 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (/.f64 (.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 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.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)) (/.f64 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 (*.f64 c -1/2) b_2))))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (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 (pow.f64 a 3) b_2) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64))))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(*.f64 (/.f64 -1/2 b_2) c)
(+.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 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 c -1/2) b_2))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
(+.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 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (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 (.f64 c -1/2) b_2)))
(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (.f64 a (.f64 a (pow.f64 c 3))))))
(+.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 (pow.f64 c 4) (/.f64 (.f64 a b_2) (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (.f64 -1/8 (/.f64 (.f64 a a) (pow.f64 b_2 3))) 2)))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (.f64 (/.f64 (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)) a) (/.f64 (pow.f64 c 4) b_2)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (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 (.f64 c -1/2) b_2))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64)) (.f64 a b_2)) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (.f64 a (*.f64 a (pow.f64 c 3)))))))

eval192.0ms (1.1%)

Compiler: Compiled 9534 to 3329 computations (65.1% saved)

prune215.0ms (1.2%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	373	25	398
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	373	26	399

Error

7.6b

Counts

399 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	42.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	47.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a))
	47.1b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	47.3b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
	45.8b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
▶	47.3b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	48.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	55.8b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 2)
	47.1b	(/.f64 (*.f64 b_2 -2) a)
	54.4b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	36.3b	(/.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)
	37.7b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	56.3b	(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
✓	36.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	40.5b	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
	45.8b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	39.5b	(*.f64 (/.f64 -1/2 b_2) c)
▶	40.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
▶	39.4b	(*.f64 -1/2 (/.f64 c b_2))
	45.2b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	47.1b	(.f64 (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 1) (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a))
▶	34.5b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
	47.1b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	45.9b	(/.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)
	53.6b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3)))) a)
	47.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))

Compiler

Compiled 880 to 560 computations (36.4% saved)

localize55.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	0.5b	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	13.4b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 54 to 15 computations (72.2% saved)

series113.0ms (0.6%)

Counts

3 → 24

Calls

24 calls:

Time	Variable		Point	Expression
30.0ms	c	@	-inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
11.0ms	c	@	0	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
10.0ms	a	@	-inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
8.0ms	a	@	inf	(.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
6.0ms	c	@	inf	(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))

rewrite205.0ms (1.2%)

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	41
1	277	33
2	3805	33

Stop Event

1×	node limit

Counts

3 → 183

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)))

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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Outputs

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

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

901×	`times-frac_binary64`
640×	`associate-/l*_binary64`
457×	`associate-/r*_binary64`
456×	`fma-def_binary64`
295×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1092
1	412	876
2	1637	804
3	6581	784

Stop Event

1×	node limit

Counts

207 → 231

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))))))

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)
(-.f64 b_2 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(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))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) b_2) (.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))))))
(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))))))
(+.f64 (-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) b_2) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))))))
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(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a 1)) c)) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (.f64 1/2 c) b_2)))
(fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 (/.f64 b_2 a) -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 (.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 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a 1)) c)) (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 (/.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))) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 c 1/2) b_2))))

localize12.0ms (0.1%)

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)

series7.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize58.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

2 → 9

Calls

15 calls:

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

rewrite120.0ms (0.7%)

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	21
1	246	21
2	3422	21

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

((#(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%)

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

106 → 100

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))

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.1b	(/.f64 c (/.f64 (pow.f64 b_2 3) a))
✓	4.5b	(*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c)
✓	5.7b	(/.f64 (pow.f64 b_2 3) a)
✓	6.0b	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))

Compiler

Compiled 57 to 35 computations (38.6% saved)

series26.0ms (0.1%)

Counts

4 → 108

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	a	@	0	(/.f64 (pow.f64 b_2 3) a)
1.0ms	b_2	@	0	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
1.0ms	c	@	0	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
1.0ms	a	@	0	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))
1.0ms	c	@	inf	(fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (.f64 (/.f64 -1/2 b_2) c))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`log-prod_binary64`
378×	`pow2_binary64`
278×	`prod-diff_binary64`
267×	`pow1/3_binary64`
262×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	309	53
2	3960	53

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

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

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

simplify214.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-/l/_binary64`
1202×	`associate-/r/_binary64`
696×	`unswap-sqr_binary64`
441×	`times-frac_binary64`
375×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	1557
1	43	1557
2	132	1557
3	511	1557
4	2911	1530
5	3200	1476
6	3452	1476
7	4118	1476
8	4913	1476
9	5101	1476

Stop Event

1×	node limit

Counts

258 → 160

Calls

Call 1

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

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

localize50.0ms (0.3%)

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 a (neg.f64 c))))))) a)
✓	3.6b	(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
✓	9.5b	(+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))
	13.4b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 69 to 12 computations (82.6% saved)

series27.0ms (0.2%)

Counts

3 → 38

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
2.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
2.0ms	c	@	inf	(+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))
1.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
1.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	266	36
2	3670	36

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify77.0ms (0.4%)

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

163 → 193

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)))))

eval275.0ms (1.6%)

Compiler: Compiled 15515 to 7235 computations (53.4% saved)

prune186.0ms (1.1%)

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	708	23	731
Fresh	1	19	20
Picked	0	1	1
Done	3	2	5
Total	712	45	757

Error

7.6b

Counts

757 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	42.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	53.4b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (sqrt.f64 (.f64 1/2 (/.f64 c b_2))) 2))
	47.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a))
	47.4b	(.f64 (fma.f64 b_2 2 (.f64 (/.f64 (*.f64 c -1/2) b_2) a)) (/.f64 1 (neg.f64 a)))
	39.8b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	47.9b	(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 c b_2) 2))) (cbrt.f64 (/.f64 c b_2)) (/.f64 -2 (/.f64 a b_2)))
▶	47.1b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	52.6b	(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)
	45.1b	(expm1.f64 (log1p.f64 (fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))))
	39.6b	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 c (/.f64 a b_2)) -1/2))
	47.1b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	47.3b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
	45.8b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	40.2b	(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))
	48.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	55.8b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 2)
	47.1b	(*.f64 b_2 (/.f64 -2 a))
	54.4b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
▶	36.3b	(/.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)
▶	54.8b	(*.f64 1/2 (/.f64 c b_2))
	55.6b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (exp.f64 1) (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) a)
	48.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (expm1.f64 (log1p.f64 (.f64 1/2 (/.f64 c b_2)))))
	48.1b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (cbrt.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8)))
▶	56.3b	(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	37.7b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	39.7b	(fma.f64 -1/8 (.f64 (pow.f64 (/.f64 (cbrt.f64 c) (/.f64 b_2 (cbrt.f64 a))) 3) c) (.f64 (/.f64 -1/2 b_2) c))
	44.8b	(+.f64 (/.f64 (.f64 -1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)) (*.f64 c (/.f64 -1/2 b_2)))
	47.1b	(/.f64 (*.f64 b_2 -2) a)
	53.6b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3)))) a)
	55.9b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) a)
	42.2b	(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))
	45.8b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
✓	36.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	39.5b	(/.f64 -1/2 (/.f64 b_2 c))
▶	47.3b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	39.5b	(*.f64 (/.f64 -1/2 b_2) c)
	47.1b	(/.f64 -2 (/.f64 a b_2))
✓	40.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
✓	39.4b	(*.f64 -1/2 (/.f64 c b_2))
	45.2b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	52.0b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (pow.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3))
	47.1b	(.f64 (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 1) (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a))
	41.8b	(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a) a)
	45.9b	(/.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)
	47.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))

Compiler

Compiled 1425 to 950 computations (33.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
✓	1.5b	(+.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))))))
✓	24.8b	(sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))
✓	53.3b	(fma.f64 a (neg.f64 c) (*.f64 a c))

Compiler

Compiled 105 to 13 computations (87.6% saved)

series23.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

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

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`fma-def_binary64`
592×	`log-prod_binary64`
348×	`fma-neg_binary64`
322×	`pow2_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	284	57
2	4119	57

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-def_binary64`
796×	`distribute-rgt-in_binary64`
775×	`associate-/l*_binary64`
751×	`distribute-lft-in_binary64`
638×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1967
1	585	1596
2	2151	1528

Stop Event

1×	node limit

Counts

307 → 285

Calls

Call 1

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

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

localize11.0ms (0.1%)

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)

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
✓	0.2b	(/.f64 1/2 (/.f64 b_2 c))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
1.0ms	b_2	@	0	(/.f64 1/2 (/.f64 b_2 c))
1.0ms	b_2	@	inf	(/.f64 1/2 (/.f64 b_2 c))
1.0ms	c	@	inf	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
0.0ms	b_2	@	0	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
332×	`pow2_binary64`
332×	`fma-def_binary64`
231×	`pow1/3_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	253	21
2	3636	21

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	609
1	19	609
2	30	609
3	38	609
4	42	609
5	44	609

Stop Event

1×

saturated

Counts

166 → 110

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 b_2 (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))))))
	13.4b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 50 to 14 computations (72% saved)

series18.0ms (0.1%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	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	@	inf	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))

rewrite88.0ms (0.5%)

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	31
1	259	27
2	3594	27

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(.f64 (/.f64 1 a) (+.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)))))

Outputs

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

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1102
1	407	884
2	1518	814
3	6312	796
4	7251	796

Stop Event

1×	node limit

Counts

154 → 171

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))
(.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)

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	1.1b	(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
✓	1.5b	(log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
	13.4b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 69 to 11 computations (84.1% saved)

series44.0ms (0.2%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	c	@	-inf	(log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
10.0ms	c	@	inf	(log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
4.0ms	a	@	inf	(log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
3.0ms	a	@	-inf	(log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
2.0ms	b_2	@	0	(log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`prod-diff_binary64`
560×	`log-prod_binary64`
285×	`pow2_binary64`
225×	`fma-def_binary64`
212×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	246	32
2	3320	32

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

Outputs

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(#(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)))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

937×	`fma-def_binary64`
780×	`times-frac_binary64`
522×	`associate-/l*_binary64`
519×	`associate-/r*_binary64`
276×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	1395
1	623	1084
2	2550	966

Stop Event

1×	node limit

Counts

170 → 190

Calls

Call 1

Inputs
(log.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1))) (log.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (log.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/120 (.f64 (+.f64 (.f64 15 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -60 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (.f64 30 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))))) (pow.f64 b_2 5))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b_2))) (+.f64 (log.f64 (/.f64 2 a)) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b_2))) (+.f64 (log.f64 (/.f64 2 a)) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))))) (pow.f64 b_2 6))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4)))))))
(+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (log.f64 (/.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (log.f64 (.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))) (+.f64 (log.f64 (/.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (log.f64 (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))))))
(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -720 (/.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 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (.f64 -15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))))) (pow.f64 b_2 6))) (+.f64 (log.f64 (/.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (log.f64 (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 (.f64 -1 (log.f64 a)) (log.f64 (.f64 2 b_2)))
(log.f64 (*.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))
(*.f64 2 (/.f64 b_2 a))

Outputs
(log.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1))) (log.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)) (log.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (log.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)) (fma.f64 1/6 (.f64 (pow.f64 b_2 3) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1)) (log.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)) (fma.f64 1/6 (.f64 (pow.f64 b_2 3) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 -1 (sqrt.f64 -1)) -1))) (log.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1))) (.f64 1/6 (pow.f64 b_2 3)) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)) (log.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/120 (.f64 (+.f64 (.f64 15 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -60 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (.f64 30 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))))) (pow.f64 b_2 5))))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)) (+.f64 (fma.f64 1/6 (.f64 (pow.f64 b_2 3) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1)) (log.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) (.f64 1/120 (.f64 (fma.f64 15 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))) -30))) (pow.f64 b_2 5)))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)) (fma.f64 1/6 (.f64 (pow.f64 b_2 3) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 -1 (sqrt.f64 -1)) -1))) (fma.f64 1/120 (.f64 (fma.f64 15 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (pow.f64 (sqrt.f64 -1) 5)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (pow.f64 (sqrt.f64 -1) 5)) -6)) (pow.f64 b_2 5)) (log.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (sqrt.f64 -1)) (fma.f64 1/6 (.f64 (pow.f64 b_2 3) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (fma.f64 1/120 (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (pow.f64 (sqrt.f64 -1) 5)) 9) (pow.f64 b_2 5)) (log.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(fma.f64 -1 (neg.f64 (log.f64 b_2)) (log.f64 (/.f64 2 a)))
(log.f64 (/.f64 (*.f64 b_2 2) a))
(log.f64 (*.f64 2 (/.f64 b_2 a)))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a))))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (fma.f64 -1 (neg.f64 (log.f64 b_2)) (log.f64 (/.f64 2 a))))
(fma.f64 1/4 (.f64 (.f64 (/.f64 c b_2) -1) (/.f64 a b_2)) (log.f64 (/.f64 (*.f64 b_2 2) a)))
(fma.f64 1/4 (.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) (log.f64 (.f64 2 (/.f64 b_2 a))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b_2))) (+.f64 (log.f64 (/.f64 2 a)) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))))))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b_2)) (log.f64 (/.f64 2 a))) (.f64 1/24 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) -9/4) (pow.f64 b_2 4)))))
(+.f64 (fma.f64 1/4 (.f64 (.f64 (/.f64 c b_2) -1) (/.f64 a b_2)) (log.f64 (/.f64 (.f64 b_2 2) a))) (.f64 1/24 (/.f64 (.f64 1 (.f64 (.f64 a a) (.f64 c c))) (/.f64 (pow.f64 b_2 4) -9/4))))
(fma.f64 1/4 (.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) (fma.f64 1/24 (.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 4)) -9/4) (log.f64 (.f64 2 (/.f64 b_2 a)))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b_2))) (+.f64 (log.f64 (/.f64 2 a)) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (.f64 15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))))) (pow.f64 b_2 6))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4)))))))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b_2)) (log.f64 (/.f64 2 a))) (fma.f64 1/720 (/.f64 (fma.f64 45/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) 105/4)) (pow.f64 b_2 6)) (.f64 1/24 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) -9/4) (pow.f64 b_2 4))))))
(+.f64 (fma.f64 1/4 (.f64 (.f64 (/.f64 c b_2) -1) (/.f64 a b_2)) (log.f64 (/.f64 (.f64 b_2 2) a))) (fma.f64 1/24 (/.f64 (.f64 1 (.f64 (.f64 a a) (.f64 c c))) (/.f64 (pow.f64 b_2 4) -9/4)) (.f64 1/720 (/.f64 (.f64 (.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 75/2) (pow.f64 b_2 6)))))
(+.f64 (fma.f64 1/4 (.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) (log.f64 (.f64 2 (/.f64 b_2 a)))) (fma.f64 1/24 (.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 4)) -9/4) (/.f64 1/720 (/.f64 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (neg.f64 (pow.f64 a 3)))) 75/2))))
(+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 (.f64 (.f64 1/2 c) (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (log.f64 (/.f64 -1 b_2)) (log.f64 (*.f64 c -1/2)))
(-.f64 (log.f64 (*.f64 c 1/2)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (log.f64 (.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (log.f64 (/.f64 -1 b_2)) (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (log.f64 (.f64 (.f64 1/2 c) (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (log.f64 (/.f64 -1 b_2)) (fma.f64 (.f64 (.f64 (/.f64 c b_2) -1) (/.f64 a b_2)) -1/4 (log.f64 (*.f64 c -1/2))))
(fma.f64 (.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) -1/4 (-.f64 (log.f64 (.f64 c 1/2)) (log.f64 b_2)))
(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))) (+.f64 (log.f64 (/.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (log.f64 (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2)))))))
(fma.f64 1/24 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) 9/4) (pow.f64 b_2 4)) (+.f64 (log.f64 (/.f64 -1 b_2)) (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (log.f64 (.f64 (*.f64 1/2 c) (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (fma.f64 (.f64 (.f64 (/.f64 c b_2) -1) (/.f64 a b_2)) -1/4 (log.f64 (.f64 c -1/2))) (fma.f64 1/24 (/.f64 (.f64 1 (.f64 (.f64 a a) (*.f64 c c))) (/.f64 (pow.f64 b_2 4) 9/4)) (log.f64 (/.f64 -1 b_2))))
(fma.f64 1/24 (.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 4)) 9/4) (fma.f64 (.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) -1/4 (-.f64 (log.f64 (.f64 c 1/2)) (log.f64 b_2))))
(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 3 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (.f64 -3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (pow.f64 b_2 4))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -720 (/.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 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (+.f64 (.f64 45/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))) (.f64 -15/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3)))))) (pow.f64 b_2 6))) (+.f64 (log.f64 (/.f64 -1 b_2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 2))) (log.f64 (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -1) 2))))))))
(fma.f64 1/24 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) 9/4) (pow.f64 b_2 4)) (fma.f64 1/720 (/.f64 (fma.f64 -720 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) -1/8) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) 75/4)) (pow.f64 b_2 6)) (+.f64 (log.f64 (/.f64 -1 b_2)) (fma.f64 -1/4 (/.f64 c (/.f64 (.f64 b_2 b_2) (.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (log.f64 (.f64 (.f64 1/2 c) (pow.f64 (sqrt.f64 -1) 2)))))))
(fma.f64 1/24 (/.f64 (.f64 1 (.f64 (.f64 a a) (.f64 c c))) (/.f64 (pow.f64 b_2 4) 9/4)) (+.f64 (fma.f64 (.f64 (.f64 (/.f64 c b_2) -1) (/.f64 a b_2)) -1/4 (log.f64 (.f64 c -1/2))) (fma.f64 1/720 (/.f64 (fma.f64 (.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 75/4 (.f64 -720 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 1 (pow.f64 a 4))) (pow.f64 (.f64 (.f64 c c) (.f64 (.f64 1 (.f64 a a)) -1/8)) 2)) (.f64 c (*.f64 a -1))))) (pow.f64 b_2 6)) (log.f64 (/.f64 -1 b_2)))))
(fma.f64 1/24 (.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 4)) 9/4) (fma.f64 1/720 (/.f64 (fma.f64 (/.f64 720 a) (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) c) (.f64 (pow.f64 c 3) (.f64 (neg.f64 (pow.f64 a 3)) 75/4))) (pow.f64 b_2 6)) (fma.f64 (.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a b_2)) -1/4 (-.f64 (log.f64 (*.f64 c 1/2)) (log.f64 b_2)))))
(+.f64 (.f64 -1 (log.f64 a)) (log.f64 (.f64 2 b_2)))
(fma.f64 -1 (neg.f64 (log.f64 b_2)) (log.f64 (/.f64 2 a)))
(log.f64 (/.f64 (*.f64 b_2 2) a))
(log.f64 (*.f64 2 (/.f64 b_2 a)))
(log.f64 (*.f64 2 (/.f64 b_2 a)))
(fma.f64 -1 (neg.f64 (log.f64 b_2)) (log.f64 (/.f64 2 a)))
(log.f64 (/.f64 (*.f64 b_2 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 (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 (/.f64 1 c) (pow.f64 a 3))) (.f64 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (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 (.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 -1 (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 (/.f64 1 c) (pow.f64 a 3))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 2) a)
(+.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 (.f64 1/2 c) (pow.f64 (sqrt.f64 -1) 2)) b_2))
(fma.f64 2 (/.f64 b_2 a) (/.f64 (*.f64 c -1/2) b_2))
(fma.f64 2 (/.f64 b_2 a) (/.f64 c (/.f64 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 c -1/2) b_2)))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (/.f64 c (/.f64 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 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 (.f64 c -1/2) b_2)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a 1)) (.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (.f64 a -1))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (neg.f64 a))) (/.f64 c (/.f64 b_2 -1/2)))))
(.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 c (/.f64 b_2 1/2))
(+.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 c 1/2) b_2))
(fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) 1/8 (/.f64 c (/.f64 b_2 1/2)))
(+.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 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))) -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 c 1/2) b_2)))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (neg.f64 a))) -1/16 (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) 1/8 (/.f64 c (/.f64 b_2 1/2))))
(+.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 (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 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a))) -1/8) 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 (.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))) -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 (.f64 c c) (.f64 (.f64 1 (.f64 a a)) -1/8)) 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 c 1/2) 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)) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (neg.f64 a))) -1/16 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) 1/8 (/.f64 c (/.f64 b_2 1/2)))))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 2) a)

eval344.0ms (2%)

Compiler: Compiled 20653 to 9359 computations (54.7% saved)

prune210.0ms (1.2%)

Pruning

44 alts after pruning (36 fresh and 8 done)

	Pruned	Kept	Total
New	895	12	907
Fresh	13	24	37
Picked	0	1	1
Done	0	7	7
Total	908	44	952

Error

7.6b

Counts

952 → 44

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.1b	(*.f64 b_2 (/.f64 -2 a))
	47.4b	(.f64 (fma.f64 b_2 2 (.f64 (/.f64 (*.f64 c -1/2) b_2) a)) (/.f64 1 (neg.f64 a)))
	39.8b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
✓	47.1b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	47.3b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (*.f64 (/.f64 1/2 b_2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c)))
	55.0b	(.f64 (/.f64 1 a) (/.f64 (.f64 a (*.f64 c 1/2)) b_2))
	45.1b	(expm1.f64 (log1p.f64 (fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))))
	39.6b	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 c (/.f64 a b_2)) -1/2))
	47.1b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	47.3b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
	45.8b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	48.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	55.8b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 2)
	55.9b	(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2)
✓	36.3b	(/.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)
	55.3b	(pow.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8) 1/3)
	45.9b	(/.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)
✓	54.8b	(*.f64 1/2 (/.f64 c b_2))
	54.8b	(/.f64 1/2 (/.f64 b_2 c))
	55.6b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (exp.f64 1) (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) a)
▶	37.7b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	39.7b	(fma.f64 -1/8 (.f64 (pow.f64 (/.f64 (cbrt.f64 c) (/.f64 b_2 (cbrt.f64 a))) 3) c) (.f64 (/.f64 -1/2 b_2) c))
	62.3b	(.f64 (/.f64 1 a) (.f64 2 b_2))
	44.8b	(+.f64 (/.f64 (.f64 -1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)) (*.f64 c (/.f64 -1/2 b_2)))
✓	56.3b	(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	45.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
	47.1b	(/.f64 (*.f64 b_2 -2) a)
▶	53.6b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3)))) a)
	55.9b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) a)
	63.0b	(exp.f64 (log.f64 (/.f64 (*.f64 b_2 2) a)))
✓	36.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	39.5b	(/.f64 -1/2 (/.f64 b_2 c))
✓	47.3b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	54.9b	(cbrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 3) 1/8))
	47.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
▶	55.1b	(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
	39.5b	(*.f64 (/.f64 -1/2 b_2) c)
	62.3b	(/.f64 (*.f64 b_2 2) a)
	47.1b	(/.f64 -2 (/.f64 a b_2))
✓	40.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
✓	39.4b	(*.f64 -1/2 (/.f64 c b_2))
▶	45.2b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	47.1b	(.f64 (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 1) (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a))
	47.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a))

Compiler

Compiled 1261 to 845 computations (33% saved)

localize30.0ms (0.2%)

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)
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	9.3b	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
✓	25.4b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 73 to 26 computations (64.4% saved)

series56.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
18.0ms	a	@	0	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
3.0ms	c	@	0	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	a	@	-inf	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	a	@	inf	(+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

rewrite97.0ms (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 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 c (neg.f64 a)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(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 (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 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (+.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 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 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) (neg.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 c (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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 c (neg.f64 a)))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (exp.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (exp.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (+.f64 1 (expm1.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (+.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 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b_2) (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b_2)) (+.f64 1 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(neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 -1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 (cbrt.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)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (neg.f64 (cbrt.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (#(struct:change #<rule 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((x fma.f64 (*.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))))

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

simplify135.0ms (0.8%)

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)))
(+.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 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.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))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.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)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (.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)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b_2))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (.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)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11)))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (.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)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2))
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))))
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 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))))) (sqrt.f64 b_2)))))
(+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.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)))))) (sqrt.f64 b_2))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 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))))) (sqrt.f64 b_2))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))))
(+.f64 (/.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))))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (pow.f64 a 3)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
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(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2)
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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)
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
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b_2
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(*.f64 -1 b_2)
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
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(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)))
(+.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 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.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 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6)) (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 -7/128 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b_2 6)) (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))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (sqrt.f64 b_2))
(fma.f64 (.f64 (.f64 -1/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.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)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (+.f64 (sqrt.f64 b_2) (.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2)))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (.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)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (fma.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -5/96)) (+.f64 (sqrt.f64 b_2) (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b_2))
(*.f64 (sqrt.f64 b_2) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1))))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (sqrt.f64 b_2) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (.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)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 -1) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (.f64 (.f64 a (.f64 a (.f64 c c))) (*.f64 -3/32 (sqrt.f64 -1))))))
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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)
(-.f64 (+.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)) 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)
(-.f64 (+.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)))) 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 (.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)
(+.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)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (fma.f64 -1/4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a))) (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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(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) 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)
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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)
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(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)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	inf	(*.f64 b_2 (/.f64 -2 a))
1.0ms	b_2	@	0	(*.f64 b_2 (/.f64 -2 a))
1.0ms	b_2	@	-inf	(*.f64 b_2 (/.f64 -2 a))
0.0ms	a	@	inf	(*.f64 b_2 (/.f64 -2 a))
0.0ms	a	@	0	(*.f64 b_2 (/.f64 -2 a))

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1556	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

44 → 21

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.5b	(/.f64 c (/.f64 b_2 a))
✓	6.7b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/.f64 c (/.f64 b_2 a))
1.0ms	b_2	@	-inf	(/.f64 c (/.f64 b_2 a))
1.0ms	c	@	-inf	(/.f64 c (/.f64 b_2 a))
0.0ms	c	@	0	(/.f64 c (/.f64 b_2 a))
0.0ms	a	@	inf	(/.f64 c (/.f64 b_2 a))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
483×	`exp-prod_binary64`
309×	`pow-prod-down_binary64`
269×	`pow2_binary64`
230×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	200	20
2	2970	20

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	504
1	15	504
2	21	504
3	28	504
4	30	504

Stop Event

1×

saturated

Counts

186 → 118

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 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 c b_2))
✓	0.8b	(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
✓	2.2b	(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
1.0ms	c	@	inf	(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
1.0ms	c	@	-inf	(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
1.0ms	b_2	@	0	(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
1.0ms	b_2	@	-inf	(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`pow1_binary64`
681×	`expm1-log1p-u_binary64`
680×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
666×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	148	16
2	1816	16

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(log1p.f64 (*.f64 1/2 (/.f64 c b_2)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))

Outputs

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

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/r*_binary64`
644×	`associate-*l/_binary64`
478×	`associate-*r/_binary64`
442×	`associate-/r/_binary64`
404×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	852
1	238	816
2	725	785
3	2912	728

Stop Event

1×	node limit

Counts

100 → 79

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (+.f64 (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 4))) (.f64 1/2 (/.f64 c b_2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1/2 b_2)))
(+.f64 (.f64 2 (/.f64 b_2 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (/.f64 1/2 b_2))))
(+.f64 (.f64 2 (/.f64 b_2 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2))) (log.f64 (/.f64 1/2 b_2)))))
(+.f64 (.f64 2 (/.f64 b_2 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2))) (log.f64 (/.f64 1/2 b_2))))))
(+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 b_2)))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 b_2)))) (+.f64 (.f64 2 (/.f64 b_2 c)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))
(+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 b_2)))) (+.f64 (.f64 2 (/.f64 b_2 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2))))))
(+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 b_2)))) (+.f64 (.f64 2 (/.f64 b_2 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))) (*.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2)))))))
(+.f64 (log.f64 (.f64 1/2 c)) (.f64 -1 (log.f64 b_2)))
(+.f64 (log.f64 (.f64 1/2 c)) (+.f64 (.f64 2 (/.f64 b_2 c)) (*.f64 -1 (log.f64 b_2))))
(+.f64 (log.f64 (.f64 1/2 c)) (+.f64 (.f64 2 (/.f64 b_2 c)) (+.f64 (.f64 -1 (log.f64 b_2)) (.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2))))))
(+.f64 (log.f64 (.f64 1/2 c)) (+.f64 (.f64 2 (/.f64 b_2 c)) (+.f64 (.f64 -1 (log.f64 b_2)) (+.f64 (.f64 8/3 (/.f64 (pow.f64 b_2 3) (pow.f64 c 3))) (*.f64 -2 (/.f64 (pow.f64 b_2 2) (pow.f64 c 2)))))))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (+.f64 (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 4))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (+.f64 (.f64 -1/64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 4))) (.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))

Outputs
(*.f64 1/2 (/.f64 c b_2))
(*.f64 (/.f64 1/2 b_2) c)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 2))) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b_2 b_2)) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 c b_2) (/.f64 c b_2))))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 c (/.f64 b_2 c)) (/.f64 -1/8 b_2)))
(.f64 (/.f64 c b_2) (+.f64 1/2 (/.f64 (.f64 c -1/8) b_2)))
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(fma.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3)) (fma.f64 -1/8 (/.f64 (.f64 c c) (.f64 b_2 b_2)) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 1/24 (/.f64 (pow.f64 c 3) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 c b_2) (.f64 -1/8 (.f64 (/.f64 c b_2) (/.f64 c b_2)))))
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(*.f64 (/.f64 1/2 b_2) c)
(*.f64 1/2 (/.f64 c b_2))
(*.f64 (/.f64 1/2 b_2) c)
(*.f64 1/2 (/.f64 c b_2))
(*.f64 (/.f64 1/2 b_2) c)
(*.f64 1/2 (/.f64 c b_2))
(*.f64 (/.f64 1/2 b_2) c)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.5b	(+.f64 (neg.f64 b_2) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3))))
✓	22.7b	(cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3))
✓	24.8b	(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3)))

Compiler

Compiled 82 to 28 computations (65.9% saved)

series11.0ms (0.1%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(+.f64 (neg.f64 b_2) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3))))
1.0ms	b_2	@	0	(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3)))
0.0ms	a	@	-inf	(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3)))
0.0ms	c	@	inf	(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3)))
0.0ms	a	@	inf	(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3)))

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`fma-def_binary64`
588×	`log-prod_binary64`
363×	`fma-neg_binary64`
317×	`pow2_binary64`
216×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	301	37
2	3917	35

Stop Event

1×	node limit

Counts

3 → 290

Calls

Call 1

Inputs

(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3)))

(cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3))

(+.f64 (neg.f64 b_2) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3))))

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

simplify121.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

710×	`times-frac_binary64`
613×	`associate-r_binary64`
565×	`associate-l_binary64`
524×	`fma-def_binary64`
435×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1708
1	379	1645
2	1303	1593
3	7466	1593

Stop Event

1×	node limit

Counts

366 → 343

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)))))

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

eval754.0ms (4.3%)

Compiler: Compiled 37039 to 17286 computations (53.3% saved)

prune342.0ms (2%)

Pruning

60 alts after pruning (49 fresh and 11 done)

	Pruned	Kept	Total
New	1249	28	1277
Fresh	10	21	31
Picked	1	0	1
Done	1	11	12
Total	1261	60	1321

Error

0.9b

Counts

1321 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	47.4b	(.f64 (fma.f64 b_2 2 (.f64 (/.f64 (*.f64 c -1/2) b_2) a)) (/.f64 1 (neg.f64 a)))
	59.5b	(pow.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3) 1/3)
	54.8b	(expm1.f64 (*.f64 (/.f64 1/2 b_2) c))
	55.7b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 c (neg.f64 a)) 3)))) a)
✓	47.1b	(*.f64 b_2 (/.f64 -2 a))
	39.8b	(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
	45.1b	(expm1.f64 (log1p.f64 (fma.f64 -1/8 (.f64 (.f64 c c) (/.f64 a (pow.f64 b_2 3))) (*.f64 c (/.f64 -1/2 b_2)))))
	50.8b	(/.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)
✓	47.1b	(.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	47.3b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (*.f64 (/.f64 1/2 b_2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c)))
	55.0b	(.f64 (/.f64 1 a) (/.f64 (.f64 a (*.f64 c 1/2)) b_2))
	39.6b	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 -1/8 b_2) (.f64 c (/.f64 a b_2)) -1/2))
	45.8b	(/.f64 (+.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	54.5b	(/.f64 (/.f64 (*.f64 b_2 -2) (sqrt.f64 a)) (sqrt.f64 a))
	47.1b	(pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	54.9b	(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3))
	38.4b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/4)) 2)) a)
	47.4b	(/.f64 (/.f64 (*.f64 b_2 -2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	48.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	55.8b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 2)
	39.5b	(/.f64 -1/2 (/.f64 b_2 c))
	55.9b	(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b_2))) 2)
	54.8b	(/.f64 1/2 (/.f64 b_2 c))
✓	36.3b	(/.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)
	53.8b	(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2) b_2) a)
	47.3b	(/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 3) a)
	55.9b	(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))))
	53.4b	(/.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)
	54.8b	(exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a))))
✓	54.8b	(*.f64 1/2 (/.f64 c b_2))
	55.1b	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))))
	39.7b	(fma.f64 -1/8 (.f64 (pow.f64 (/.f64 (cbrt.f64 c) (/.f64 b_2 (cbrt.f64 a))) 3) c) (.f64 (/.f64 -1/2 b_2) c))
	62.3b	(.f64 (/.f64 1 a) (.f64 2 b_2))
	44.8b	(+.f64 (/.f64 (.f64 -1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)) (*.f64 c (/.f64 -1/2 b_2)))
✓	56.3b	(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	45.8b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
	45.9b	(/.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)
	55.3b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 c b_2)) 3) 1/3)
	54.4b	(/.f64 0 a)
	63.0b	(exp.f64 (log.f64 (/.f64 (*.f64 b_2 2) a)))
✓	36.3b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	48.1b	(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
	54.8b	(.f64 (.f64 1/2 c) (/.f64 1 b_2))
✓	47.3b	(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
	47.1b	(/.f64 (*.f64 b_2 -2) a)
	59.5b	(/.f64 (neg.f64 b_2) a)
✓	55.1b	(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b_2))))
	39.5b	(*.f64 (/.f64 -1/2 b_2) c)
	62.3b	(/.f64 (*.f64 b_2 2) a)
	47.1b	(/.f64 -2 (/.f64 a b_2))
✓	40.6b	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	45.9b	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
✓	39.4b	(*.f64 -1/2 (/.f64 c b_2))
	46.0b	(.f64 -1/2 (/.f64 1 (.f64 (/.f64 a c) (/.f64 b_2 a))))
	54.1b	(pow.f64 (sqrt.f64 (*.f64 b_2 (/.f64 -2 a))) 2)
✓	45.2b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	54.8b	(.f64 (pow.f64 (cbrt.f64 (/.f64 c b_2)) 2) (.f64 (cbrt.f64 (/.f64 c b_2)) 1/2))
	54.2b	(expm1.f64 (.f64 (/.f64 c b_2) (+.f64 1/2 (/.f64 (.f64 c -1/8) b_2))))
	47.1b	(.f64 (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 1) (/.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a))
	47.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a))

Compiler

Compiled 859 to 609 computations (29.1% saved)

regimes3.0s (17.3%)

Counts

89 → 5

Calls

Call 1

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

Outputs
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
(/.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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(*.f64 -1/2 (/.f64 c b_2))

Calls

4 calls:

1.4s	a
903.0ms	c
442.0ms	b_2
175.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
23.8b	12	`a`
9.7b	5	`b_2`
25.1b	8	`c`
15.5b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1065 to 513 computations (51.8% saved)

bsearch536.0ms (3.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
133.0ms	5.184591116511653e-76	6.380075628786524e-70
52.0ms	2.3486135661083543e-278	2.9635265067491217e-274
77.0ms	-4.242312284180355e-212	-1.2074210802392064e-213
272.0ms	-2.607388218841055e+77	-1.6736936390566012e+74

Compiler

Compiled 1232 to 848 computations (31.2% saved)

regimes1.9s (10.9%)

Counts

81 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

991.0ms	a
398.0ms	b_2
377.0ms	c
103.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
26.0b	10	`a`
11.0b	3	`b_2`
28.2b	5	`c`
15.5b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 890 to 443 computations (50.2% saved)

bsearch206.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
112.0ms	5.184591116511653e-76	6.380075628786524e-70
93.0ms	-2.607388218841055e+77	-1.6736936390566012e+74

Compiler

Compiled 648 to 404 computations (37.7% saved)

regimes810.0ms (4.6%)

Counts

70 → 3

Calls

Call 1

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

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

Calls

4 calls:

409.0ms	a
181.0ms	c
107.0ms	b_2
86.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
26.0b	10	`a`
11.0b	3	`b_2`
28.2b	5	`c`
15.5b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 728 to 378 computations (48.1% saved)

bsearch215.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	5.184591116511653e-76	6.380075628786524e-70
115.0ms	-2.607388218841055e+77	-1.6736936390566012e+74

Compiler

Compiled 512 to 353 computations (31.1% saved)

regimes562.0ms (3.2%)

Counts

32 → 3

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 2) a)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 a b_2))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(.f64 (.f64 1/2 c) (/.f64 1 b_2))
(.f64 (/.f64 1 a) (.f64 2 b_2))
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(.f64 -1/2 (/.f64 1 (.f64 (/.f64 a c) (/.f64 b_2 a))))
(.f64 (/.f64 1 a) (/.f64 (.f64 a (*.f64 c 1/2)) b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(expm1.f64 (*.f64 (/.f64 1/2 b_2) c))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(expm1.f64 (.f64 (/.f64 c b_2) (+.f64 1/2 (/.f64 (.f64 c -1/8) b_2))))

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

Calls

3 calls:

269.0ms	c
231.0ms	a
52.0ms	b_2

Results

Error	Segments	Branch
32.7b	8	`a`
13.5b	3	`b_2`
31.0b	10	`c`

Compiler

Compiled 242 to 137 computations (43.4% saved)

bsearch257.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
104.0ms	5.184591116511653e-76	6.380075628786524e-70
152.0ms	-1.7761141446271836e-18	-6.5730374089077965e-19

Compiler

Compiled 360 to 259 computations (28.1% saved)

regimes246.0ms (1.4%)

Counts

29 → 2

Calls

Call 1

Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 1/2 (/.f64 b_2 c))
(/.f64 (*.f64 b_2 2) a)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 b_2 -2) a)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 -2 (/.f64 a b_2))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(.f64 (.f64 1/2 c) (/.f64 1 b_2))
(.f64 (/.f64 1 a) (.f64 2 b_2))
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
(/.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(.f64 -1/2 (/.f64 1 (.f64 (/.f64 a c) (/.f64 b_2 a))))
(.f64 (/.f64 1 a) (/.f64 (.f64 a (*.f64 c 1/2)) b_2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(expm1.f64 (*.f64 (/.f64 1/2 b_2) c))

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

Calls

3 calls:

102.0ms	c
83.0ms	a
52.0ms	b_2

Results

Error	Segments	Branch
34.9b	4	`a`
24.0b	2	`b_2`
36.6b	5	`c`

Compiler

Compiled 211 to 120 computations (43.1% saved)

bsearch69.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
69.0ms	2.115352301480754e-209	1.9783307108547218e-194

Compiler

Compiled 202 to 155 computations (23.3% saved)

regimes120.0ms (0.7%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	c
40.0ms	a
30.0ms	b_2

Results

Error	Segments	Branch
35.0b	4	`a`
24.0b	2	`b_2`
36.6b	5	`c`

Compiler

Compiled 87 to 52 computations (40.2% saved)

bsearch76.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
76.0ms	2.115352301480754e-209	1.9783307108547218e-194

Compiler

Compiled 202 to 155 computations (23.3% saved)

regimes106.0ms (0.6%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	c
39.0ms	a
18.0ms	b_2

Results

Error	Segments	Branch
35.0b	4	`a`
24.0b	2	`b_2`
36.7b	5	`c`

Compiler

Compiled 82 to 49 computations (40.2% saved)

bsearch50.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	2.115352301480754e-209	1.9783307108547218e-194

Compiler

Compiled 202 to 155 computations (23.3% saved)

regimes19.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	b_2
5.0ms	a
4.0ms	c

Results

Error	Segments	Branch
39.5b	1	`a`
36.4b	2	`b_2`
39.5b	1	`c`

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch49.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	2.115352301480754e-209	1.9783307108547218e-194

Compiler

Compiled 192 to 145 computations (24.5% saved)

regimes16.0ms (0.1%)

Accuracy

Total -10.6b remaining (-20.5%)

Threshold costs -10.6b (-20.5%)

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:

7.0ms	b_2
3.0ms	a
3.0ms	c

Results

Error	Segments	Branch
54.4b	1	`a`
51.7b	2	`b_2`
54.4b	1	`c`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch42.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	-1.7559595417701517e-304	-3.0969433136474667e-307

Compiler

Compiled 142 to 111 computations (21.8% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	398
1	113	388
2	131	388
3	139	388
4	142	388

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 -1894072072606864896/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (/.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) (if (<=.f64 b_2 1916006697153331/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.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) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.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 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -1713457963316493/2596148429267413814265248164610048) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 1641162401283092480/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (.f64 b_2 -2) a) (.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 1641162401283092480/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (.f64 b_2 -2) a) (.f64 (/.f64 -1/2 b_2) c))
(if (<=.f64 b_2 1641162401283092480/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (*.f64 b_2 -2) a) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 1641162401283092480/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (neg.f64 b_2) a) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 -1080944651146831/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)

Outputs
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 -1894072072606864896/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (/.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) (if (<=.f64 b_2 1916006697153331/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.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) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 -3699359516810283/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (/.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) (if (<=.f64 b_2 1916006697153331/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (log.f64 (/.f64 1 c)))))) 2) b_2) a) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 -3699359516810283/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))) b_2) a) (if (<=.f64 b_2 1916006697153331/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 a)) (log.f64 (/.f64 1 c))))) 2) b_2) a) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.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 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -1713457963316493/2596148429267413814265248164610048) (+.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1/2 (/.f64 b_2 c))) (if (<=.f64 b_2 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 1641162401283092480/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (.f64 b_2 -2) a) (.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 400674414375755/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (/.f64 (.f64 b_2 -2) a) (.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 1641162401283092480/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (.f64 b_2 -2) a) (.f64 (/.f64 -1/2 b_2) c))
(if (<=.f64 b_2 400674414375755/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (/.f64 (.f64 b_2 -2) a) (.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 1641162401283092480/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (*.f64 b_2 -2) a) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 400674414375755/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (/.f64 (*.f64 b_2 -2) a) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 1641162401283092480/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 (neg.f64 b_2) a) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 400674414375755/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (/.f64 (neg.f64 b_2) a) (/.f64 -1/2 (/.f64 b_2 c)))
(if (<=.f64 b_2 -1080944651146831/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)

Compiler

Compiled 293 to 190 computations (35.2% saved)

soundness0.0ms (0%)

end118.0ms (0.7%)

Compiler: Compiled 266 to 133 computations (50% saved)