Details

analyze293.0ms (3.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
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)

sample2.0s (21.2%)

Results

805.0ms	5493×	body	256	valid
502.0ms	1222×	body	2048	valid
217.0ms	730×	body	1024	valid
213.0ms	433×	body	4096	valid
187.0ms	1574×	body	256	invalid
79.0ms	378×	body	512	valid

preprocess115.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1391×	`fma-neg_binary64`
689×	`div-sub_binary64`
538×	`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	1057	72
7	1768	72
8	4025	72
9	5457	72
10	6864	72
11	7185	72
12	7258	72
13	7322	72
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

31.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	22.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
	2.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	2.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	22.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series44.0ms (0.5%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
18.0ms	b_2	@	0	(-.f64 (.f64 b_2 b_2) (.f64 a c))
2.0ms	a	@	inf	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) 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	a	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite132.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`fma-def_binary64`
630×	`log-prod_binary64`
338×	`fma-neg_binary64`
323×	`pow2_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	239	55
2	3653	52

Stop Event

1×	node limit

Counts

4 → 357

Calls

Call 1

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

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

985×	`times-frac_binary64`
814×	`fma-def_binary64`
760×	`associate-l_binary64`
661×	`associate-/l*_binary64`
565×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2424
1	561	2350
2	1932	2254

Stop Event

1×	node limit

Counts

453 → 438

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

eval142.0ms (1.5%)

Compiler: Compiled 10387 to 3588 computations (65.5% saved)

prune88.0ms (0.9%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	417	21	438
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	417	22	439

Error

4.0b

Counts

439 → 22

Alt Table

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Status	Error	Program
	47.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	43.0b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
	35.7b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	33.2b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
✓	31.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	47.7b	(*.f64 (/.f64 -2 a) b_2)
	37.8b	(*.f64 (/.f64 -1/2 b_2) c)
	47.6b	(*.f64 -2 (/.f64 b_2 a))
	37.7b	(*.f64 -1/2 (/.f64 c b_2))
▶	33.2b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
▶	54.6b	(/.f64 (-.f64 b_2 b_2) a)
	31.4b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
▶	31.4b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	45.2b	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)))
	40.6b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) b_2) a)
	43.7b	(fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (*.f64 (/.f64 -1/2 b_2) c))
▶	44.9b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.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)
	46.3b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (sqrt.f64 a)))
	43.4b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
▶	43.1b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	32.9b	(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2) a)

Compiler

Compiled 615 to 419 computations (31.9% saved)

localize33.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	12.9b	(sqrt.f64 (neg.f64 (*.f64 a c)))
	1.4b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
	0.2b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
	0.0b	(hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))
✓	0.0b	(hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))
✓	0.2b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
✓	1.4b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
✓	12.9b	(sqrt.f64 (neg.f64 (*.f64 a c)))

series53.0ms (0.6%)

Counts

4 → 38

Calls

33 calls:

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

rewrite113.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`prod-diff_binary64`
595×	`log-prod_binary64`
296×	`pow2_binary64`
261×	`fma-def_binary64`
250×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	254	42
2	3398	42

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

938×	`times-frac_binary64`
671×	`associate-/l*_binary64`
618×	`fma-def_binary64`
474×	`associate-/r*_binary64`
335×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1592
1	480	1297
2	1757	1205
3	6956	1205

Stop Event

1×	node limit

Counts

235 → 264

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

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

localize3.0ms (0%)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.9b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	4.8b	(/.f64 (*.f64 c a) b_2)
✓	4.8b	(/.f64 (*.f64 c a) b_2)
✓	9.9b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)

series10.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
457×	`exp-prod_binary64`
326×	`pow-prod-down_binary64`
265×	`pow2_binary64`
210×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	196	20
2	2829	20

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (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	252
1	9	252
2	13	252
3	17	252
4	18	252

Stop Event

1×

saturated

Counts

150 → 116

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))

Outputs
(*.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)
(*.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)
(*.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)
(*.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)
(*.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)
(*.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)
(*.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)
(*.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)
(*.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)
(*.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)
(*.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)
(*.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)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	12.9b	(sqrt.f64 (neg.f64 (*.f64 a c)))
	4.3b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
	0.1b	(/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
	0.0b	(hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))
	0.0b	(hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))
✓	0.1b	(/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
✓	4.3b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
	12.9b	(sqrt.f64 (neg.f64 (*.f64 a c)))

series21.0ms (0.2%)

Counts

2 → 26

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
2.0ms	c	@	inf	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
1.0ms	c	@	inf	(/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
1.0ms	a	@	-inf	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
1.0ms	a	@	inf	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`log-prod_binary64`
439×	`fma-def_binary64`
318×	`pow2_binary64`
261×	`pow-unpow_binary64`
242×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	252	27
2	3878	27

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

638×	`associate-r_binary64`
556×	`associate-l_binary64`
480×	`times-frac_binary64`
380×	`fma-def_binary64`
354×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1050
1	354	873
2	1219	811
3	6095	799

Stop Event

1×	node limit

Counts

226 → 244

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

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	15.2b	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
	8.1b	(*.f64 (pow.f64 c 2) a)
	3.4b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
	0.0b	(*.f64 -1/2 (/.f64 c b_2))
✓	0.0b	(*.f64 -1/2 (/.f64 c b_2))
✓	3.4b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
✓	8.1b	(*.f64 (pow.f64 c 2) a)
✓	15.2b	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))

series24.0ms (0.3%)

Counts

4 → 9

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	-inf	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
3.0ms	c	@	-inf	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
1.0ms	c	@	0	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
1.0ms	a	@	0	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
1.0ms	b_2	@	0	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`log-prod_binary64`
363×	`fma-def_binary64`
293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`
240×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	356	50
2	4624	50

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (.f64 c c)) (pow.f64 b_2 -3))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (.f64 c c)) (pow.f64 b_2 -3))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (.f64 c c)) (pow.f64 b_2 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (.f64 c c)) (pow.f64 b_2 -3)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (.f64 c c)) (pow.f64 b_2 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c c) (/.f64 1 (/.f64 (pow.f64 b_2 3) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c c) (.f64 a (pow.f64 b_2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 (.f64 c c) (pow.f64 b_2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 c b_2) 2) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 a a) (pow.f64 c 4))) (.f64 (cbrt.f64 (.f64 c (.f64 c a))) (pow.f64 b_2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 c (.f64 c a))) b_2) (pow.f64 (/.f64 (cbrt.f64 (.f64 c (.f64 c a))) b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 c (.f64 c a))) b_2) 2) (/.f64 (cbrt.f64 (.f64 c (.f64 c a))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c (sqrt.f64 a)) (.f64 (.f64 c (sqrt.f64 a)) (pow.f64 b_2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (sqrt.f64 (/.f64 (pow.f64 b_2 3) a))) (/.f64 c (sqrt.f64 (/.f64 (pow.f64 b_2 3) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 c c) (neg.f64 a)) (/.f64 1 (neg.f64 (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b_2) (/.f64 (.f64 c (.f64 c a)) (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b_2 -3) (.f64 c (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c c) b_2) (/.f64 a (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (.f64 b_2 b_2)) (/.f64 (.f64 c c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a b_2) (pow.f64 (/.f64 c b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (.f64 a a) (pow.f64 c 4))) b_2) (/.f64 (cbrt.f64 (.f64 c (.f64 c a))) (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c (sqrt.f64 a)) b_2) (/.f64 (.f64 c (sqrt.f64 a)) (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c (sqrt.f64 a)) (.f64 b_2 b_2)) (/.f64 (.f64 c (sqrt.f64 a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c c) 1) (/.f64 a (pow.f64 b_2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a 1) (/.f64 (.f64 c c) (pow.f64 b_2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (.f64 a a) (pow.f64 c 4))) 1) (/.f64 (cbrt.f64 (.f64 c (.f64 c a))) (pow.f64 b_2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c (sqrt.f64 a)) 1) (/.f64 (.f64 c (sqrt.f64 a)) (pow.f64 b_2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b_2 b_2)) (/.f64 (.f64 c (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (.f64 a a) (pow.f64 c 4))) (.f64 b_2 b_2)) (/.f64 (cbrt.f64 (.f64 c (.f64 c a))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c c) (pow.f64 b_2 3/2)) (/.f64 a (pow.f64 b_2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (pow.f64 b_2 3/2)) (/.f64 (.f64 c c) (pow.f64 b_2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 b_2 3/2)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (.f64 a a) (pow.f64 c 4))) (pow.f64 b_2 3/2)) (/.f64 (cbrt.f64 (.f64 c (.f64 c a))) (pow.f64 b_2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (.f64 c (.f64 c a))) b_2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (sqrt.f64 (/.f64 (pow.f64 b_2 3) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b_2 3) (.f64 c (.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 c (.f64 c a)) (neg.f64 (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 4)) (pow.f64 b_2 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) (.f64 c c)) (pow.f64 b_2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 c (.f64 c a)) 3) (pow.f64 (pow.f64 b_2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 c (.f64 c a)) (pow.f64 b_2 -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 c (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 c c))) (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 c c))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 c c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 c (.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 a a) (pow.f64 c 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c (.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 c c) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (.f64 c c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 c (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 c (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 c (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c (*.f64 c a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 c (.f64 c a)) (.f64 (pow.f64 b_2 -3) -1/8) (.f64 -1/2 (/.f64 c b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 4)) (pow.f64 b_2 6))) (fma.f64 (.f64 c (.f64 c a)) (.f64 (pow.f64 b_2 -3) -1/8) (.f64 1/2 (/.f64 c b_2)))) (/.f64 (.f64 (pow.f64 (/.f64 c b_2) 2) 1/4) (fma.f64 (.f64 c (.f64 c a)) (.f64 (pow.f64 b_2 -3) -1/8) (.f64 1/2 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 c (.f64 c a)) (.f64 (pow.f64 b_2 -3) -1/8) (.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 c (.f64 c a)) (.f64 (pow.f64 b_2 -3) -1/8) (.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 c (.f64 c a)) (.f64 (pow.f64 b_2 -3) -1/8) (.f64 -1/2 (/.f64 c b_2)))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c a)) (.f64 (pow.f64 b_2 -3) -1/8) (.f64 -1/2 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simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-*l/_binary64`
995×	`associate-/l/_binary64`
806×	`associate-/r/_binary64`
783×	`unswap-sqr_binary64`
380×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	108
1	36	108
2	106	108
3	443	108
4	2553	108
5	2863	108
6	3026	108
7	3617	108
8	4577	108
9	4753	108

Stop Event

1×	node limit

Counts

171 → 165

Calls

Call 1

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

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

eval281.0ms (3%)

Compiler: Compiled 18859 to 7967 computations (57.8% saved)

prune194.0ms (2%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	851	11	862
Fresh	3	13	16
Picked	1	0	1
Done	0	5	5
Total	855	29	884

Error

0.0b

Counts

884 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	47.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	43.0b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
	35.7b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	33.2b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
✓	31.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	47.6b	(*.f64 -2 (/.f64 b_2 a))
	37.7b	(*.f64 -1/2 (/.f64 c b_2))
✓	33.2b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
✓	54.6b	(/.f64 (-.f64 b_2 b_2) a)
	46.3b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (sqrt.f64 a)))
	43.2b	(/.f64 (.f64 -1/2 (.f64 (/.f64 c 1) (/.f64 a b_2))) a)
	41.6b	(*.f64 (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a)) (/.f64 1 a))
▶	31.4b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
✓	31.4b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
✓	43.1b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	46.0b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) a) (/.f64 b_2 a))
	37.9b	(/.f64 -1/2 (/.f64 b_2 c))
	32.9b	(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2) a)
	43.2b	(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 c c) b_2) (/.f64 a (.f64 b_2 b_2)))) (*.f64 -1/2 (/.f64 c b_2)))
	40.6b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) b_2) a)
	48.0b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
▶	48.4b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a) (/.f64 b_2 a))
	37.8b	(*.f64 (/.f64 -1/2 b_2) c)
▶	43.2b	(/.f64 (.f64 -1/2 (.f64 c (*.f64 a (/.f64 1 b_2)))) a)
▶	47.7b	(*.f64 (/.f64 -2 a) b_2)
	48.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	43.4b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	42.7b	(/.f64 (.f64 -1/2 (.f64 (/.f64 c (sqrt.f64 b_2)) (/.f64 a (sqrt.f64 b_2)))) a)
	41.6b	(pow.f64 (cbrt.f64 (.f64 (/.f64 -1/2 a) (.f64 (/.f64 c b_2) a))) 3)

Compiler

Compiled 761 to 517 computations (32.1% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.4b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
	0.2b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	0.1b	(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))
	0.0b	(hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))
✓	0.1b	(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))
✓	0.2b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
	1.4b	(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
	12.9b	(sqrt.f64 (neg.f64 (*.f64 a c)))

series64.0ms (0.7%)

Counts

2 → 24

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	c	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
8.0ms	c	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
7.0ms	a	@	inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
6.0ms	a	@	-inf	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
6.0ms	c	@	0	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`prod-diff_binary64`
622×	`log-prod_binary64`
313×	`pow2_binary64`
262×	`fma-def_binary64`
217×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	263	30
2	3575	30

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

761×	`associate-/r*_binary64`
544×	`distribute-rgt-in_binary64`
536×	`distribute-lft-in_binary64`
339×	`associate-r_binary64`
247×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	1902
1	738	1434
2	3517	1275

Stop Event

1×	node limit

Counts

111 → 134

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

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (/.f64 -2 a) b_2)
✓	0.3b	(*.f64 (/.f64 -2 a) b_2)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

45 → 23

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

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	9.9b	(/.f64 (.f64 -1/2 (.f64 c (*.f64 a (/.f64 1 b_2)))) a)
	3.5b	(.f64 c (.f64 a (/.f64 1 b_2)))
	0.2b	(*.f64 a (/.f64 1 b_2))
✓	0.2b	(*.f64 a (/.f64 1 b_2))
✓	3.5b	(.f64 c (.f64 a (/.f64 1 b_2)))
✓	9.9b	(/.f64 (.f64 -1/2 (.f64 c (*.f64 a (/.f64 1 b_2)))) a)

series10.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(*.f64 a (/.f64 1 b_2))
0.0ms	b_2	@	-inf	(*.f64 a (/.f64 1 b_2))
0.0ms	a	@	inf	(*.f64 a (/.f64 1 b_2))
0.0ms	b_2	@	0	(*.f64 a (/.f64 1 b_2))
0.0ms	a	@	0	(*.f64 a (/.f64 1 b_2))

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`log-prod_binary64`
373×	`pow-prod-down_binary64`
292×	`pow-unpow_binary64`
290×	`pow2_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	232	24
2	3076	24

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

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

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

simplify25.0ms (0.3%)

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	10	600
1	16	600
2	22	600
3	28	600
4	30	600

Stop Event

1×

saturated

Counts

211 → 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)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 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 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) a)
(*.f64 c (/.f64 a b_2))
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)
(/.f64 a b_2)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	12.9b	(sqrt.f64 (*.f64 a (neg.f64 c)))
	0.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
	0.0b	(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
✓	0.0b	(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
✓	12.9b	(sqrt.f64 (*.f64 a (neg.f64 c)))

series14.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

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

rewrite133.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`prod-diff_binary64`
515×	`log-prod_binary64`
355×	`fma-def_binary64`
250×	`pow2_binary64`
223×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	204	27
2	3051	27

Stop Event

1×	node limit

Counts

3 → 337

Calls

Call 1

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

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

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

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

442×	`fma-def_binary64`
298×	`fma-neg_binary64`
127×	`div-sub_binary64`
121×	`times-frac_binary64`
97×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	337
1	29	337
2	44	337
3	58	337
4	91	337
5	145	337
6	269	337
7	432	337
8	613	337
9	765	337
10	929	337
11	1018	337
12	1099	337
13	1119	337
14	1159	337
15	1279	337
16	1433	337
17	1676	337
18	1999	337
19	2288	337
20	2420	337
21	2442	337
22	2462	337
23	2472	337

Stop Event

1×

saturated

Counts

365 → 348

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.4b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a) (/.f64 b_2 a))
	0.1b	(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
	0.0b	(/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
	0.0b	(hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)))
✓	0.0b	(hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)))
✓	0.0b	(/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	0.1b	(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
✓	2.4b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a) (/.f64 b_2 a))

series31.0ms (0.3%)

Counts

4 → 40

Calls

33 calls:

Time	Variable		Point	Expression
12.0ms	c	@	-inf	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a) (/.f64 b_2 a))
1.0ms	c	@	-inf	(hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)))
1.0ms	c	@	-inf	(/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
1.0ms	a	@	inf	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a) (/.f64 b_2 a))
1.0ms	c	@	inf	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a) (/.f64 b_2 a))

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log-prod_binary64`
366×	`fma-def_binary64`
321×	`pow2_binary64`
229×	`fma-neg_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	269	42
2	4174	42

Stop Event

1×	node limit

Counts

4 → 244

Calls

Call 1

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

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

942×	`times-frac_binary64`
673×	`associate-/l*_binary64`
622×	`fma-def_binary64`
492×	`associate-/r*_binary64`
349×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1556
1	494	1298
2	1800	1216
3	7083	1216

Stop Event

1×	node limit

Counts

284 → 311

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

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

eval345.0ms (3.6%)

Compiler: Compiled 26249 to 9986 computations (62% saved)

prune220.0ms (2.3%)

Pruning

34 alts after pruning (24 fresh and 10 done)

	Pruned	Kept	Total
New	1069	12	1081
Fresh	7	12	19
Picked	0	1	1
Done	0	9	9
Total	1076	34	1110

Error

0.0b

Counts

1110 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	47.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
✓	43.0b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
▶	35.7b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	33.2b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
✓	31.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	37.8b	(*.f64 (/.f64 -1/2 b_2) c)
	47.7b	(/.f64 -2 (/.f64 a b_2))
▶	59.5b	(/.f64 (neg.f64 b_2) a)
✓	47.7b	(*.f64 (/.f64 -2 a) b_2)
	43.7b	(*.f64 -1/2 (/.f64 1 (/.f64 (/.f64 a c) (/.f64 a b_2))))
▶	47.7b	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
✓	33.2b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
✓	54.6b	(/.f64 (-.f64 b_2 b_2) a)
	46.3b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (sqrt.f64 a)))
	48.0b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2)) -1)
	41.6b	(*.f64 (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a)) (/.f64 1 a))
✓	31.4b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
✓	31.4b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
✓	43.1b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	46.0b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) a) (/.f64 b_2 a))
▶	43.2b	(/.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))) a)
▶	32.9b	(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2) a)
	43.2b	(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 c c) b_2) (/.f64 a (.f64 b_2 b_2)))) (*.f64 -1/2 (/.f64 c b_2)))
	37.6b	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
	47.6b	(*.f64 (/.f64 b_2 a) -2)
	40.6b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) b_2) a)
	48.0b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
	37.7b	(*.f64 -1/2 (/.f64 c b_2))
	41.6b	(pow.f64 (/.f64 a (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)) -1)
✓	48.4b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a) (/.f64 b_2 a))
✓	43.2b	(/.f64 (.f64 -1/2 (.f64 c (*.f64 a (/.f64 1 b_2)))) a)
	48.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	37.9b	(/.f64 -1/2 (/.f64 b_2 c))
	57.2b	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))

Compiler

Compiled 794 to 549 computations (30.9% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	11.5b	(-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2)
	0.5b	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.1b	(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2) a)
✓	0.5b	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
✓	11.5b	(-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)) b_2)
✓	22.0b	(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))
✓	22.7b	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

series32.0ms (0.3%)

Counts

4 → 64

Calls

36 calls:

Time	Variable		Expression
5.0ms	a	@	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
4.0ms	b_2	@	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
3.0ms	b_2	@	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
2.0ms	c	@	(pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3)
2.0ms	a	@	(cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite123.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`fma-def_binary64`
580×	`log-prod_binary64`
351×	`fma-neg_binary64`
316×	`pow2_binary64`
214×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	277	49
2	3523	47

Stop Event

1×	node limit

Counts

4 → 360

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (cbrt.f64 (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)) 1/6) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (cbrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (cbrt.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)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) 1))))))
((#(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 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6))))) (#(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 (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 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) (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 1 3/2) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) 3/2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) 3/2))))) (#(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 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2)))) (#(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 (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)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) 3/2) 2)))) (#(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 log1p.f64 (expm1.f64 (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 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 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3/2))))) (#(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)))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (.f64 (neg.f64 b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2) (fma.f64 (neg.f64 b_2) 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (cbrt.f64 (.f64 b_2 b_2)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2) (+.f64 (neg.f64 b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b_2 (cbrt.f64 (.f64 b_2 b_2))) (cbrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) (fma.f64 a (neg.f64 c) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) (fma.f64 (.f64 a (neg.f64 c)) 1 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/6) (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 fma.f64 (.f64 (hypot.f64 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simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

538×	`associate-*l/_binary64`
522×	`distribute-rgt-in_binary64`
521×	`distribute-lft-in_binary64`
447×	`associate-r_binary64`
441×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	3454
1	1186	3163
2	4768	3029

Stop Event

1×	node limit

Counts

424 → 446

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))))))
(+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(+.f64 (.f64 -1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))))) (pow.f64 (pow.f64 b_2 2) 1/3))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(+.f64 (.f64 -1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 c 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))))
(.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 (*.f64 c a) (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 1 1/3)) (.f64 2/3 (pow.f64 1 1/3))) (pow.f64 b_2 2)) (.f64 -1 (.f64 (.f64 c a) (pow.f64 1 1/3))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 1 1/3)) (.f64 2/3 (pow.f64 1 1/3))) (pow.f64 b_2 2)) (+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -2/9 (.f64 (/.f64 1 (.f64 c a)) (pow.f64 1 1/3))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (.f64 c a)) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 4) (pow.f64 a 4))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 4) (pow.f64 a 4))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (cbrt.f64 -1)))))) (.f64 -1 (.f64 (*.f64 c a) (pow.f64 1 1/3)))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 1 1/3)) (.f64 2/3 (pow.f64 1 1/3))) (pow.f64 b_2 2)) (+.f64 (.f64 (pow.f64 b_2 4) (+.f64 (.f64 -2/9 (.f64 (/.f64 1 (.f64 c a)) (pow.f64 1 1/3))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (.f64 c a)) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 4) (pow.f64 a 4))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 4) (pow.f64 a 4))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (cbrt.f64 -1)))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (.f64 10/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (cbrt.f64 -1))) (+.f64 (.f64 5/81 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 4) (pow.f64 a 4))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 4) (pow.f64 a 4))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/27 (.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 1 1/3)))))) (pow.f64 b_2 6)) (.f64 -1 (.f64 (*.f64 c a) (pow.f64 1 1/3))))))
(*.f64 (pow.f64 1 1/3) (pow.f64 b_2 2))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 b_2 2)) (.f64 a (+.f64 (.f64 -2/3 (.f64 c (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9))) (.f64 -1/3 (.f64 c (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9))))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 b_2 2)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9))) (+.f64 (.f64 2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9))) (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 2)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9)))))))) (.f64 a (+.f64 (.f64 -2/3 (.f64 c (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9))) (.f64 -1/3 (.f64 c (pow.f64 (*.f64 1 (pow.f64 b_2 8)) 1/9)))))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 b_2 2)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9))) (+.f64 (.f64 2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9))) (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 2)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9)))))))) (+.f64 (.f64 (+.f64 (.f64 2/27 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 2)) 1/3) (+.f64 (.f64 2/27 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 2)) (pow.f64 1 1/9))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))))))) (+.f64 (.f64 -1/3 (.f64 (.f64 c (+.f64 (.f64 1/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))))))) (pow.f64 a 3)) (.f64 a (+.f64 (.f64 -2/3 (.f64 c (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9))) (.f64 -1/3 (.f64 c (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9))))))))
(*.f64 (pow.f64 1 1/3) (pow.f64 b_2 2))
(+.f64 (.f64 c (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)))) (.f64 (pow.f64 1 1/3) (pow.f64 b_2 2)))
(+.f64 (.f64 c (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)))) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9) (pow.f64 a 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9) (pow.f64 a 2))) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2)))) (pow.f64 (.f64 1 (pow.f64 b_2 2)) 1/3))))) (*.f64 (pow.f64 1 1/3) (pow.f64 b_2 2))))
(+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2)))) a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 2)) 1/3) (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3))) (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 a 3) (pow.f64 b_2 2)))))))))) (+.f64 (.f64 c (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)))) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9) (pow.f64 a 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9) (pow.f64 a 2))) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2)))) (pow.f64 (.f64 1 (pow.f64 b_2 2)) 1/3))))) (.f64 (pow.f64 1 1/3) (pow.f64 b_2 2)))))

Outputs
(.f64 (pow.f64 (.f64 c (*.f64 1 a)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 -1) 2)) b_2)) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b_2 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (pow.f64 (.f64 c (.f64 1 a)) 1/3) (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -1))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 -1) 2)) b_2)) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -1))))
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(fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1) (.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5)))))))
(fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 8)) (pow.f64 a 8))) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (/.f64 (.f64 b_2 b_2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))))
(fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 8)) (pow.f64 a 8))) (/.f64 (pow.f64 b_2 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 a a))) (.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 -1) 2)) b_2)) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -1)))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(cbrt.f64 (*.f64 b_2 b_2))
(+.f64 (.f64 -1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))
(fma.f64 -1/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (cbrt.f64 (.f64 b_2 b_2)))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (cbrt.f64 (.f64 b_2 b_2)))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3)))
(fma.f64 -1/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (fma.f64 -1/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18)))) (cbrt.f64 (*.f64 b_2 b_2))))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (fma.f64 -1/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))))) (cbrt.f64 (*.f64 b_2 b_2))))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (fma.f64 -1/9 (.f64 c (.f64 c (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) a)))) (cbrt.f64 (*.f64 b_2 b_2))))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (.f64 (pow.f64 a 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (.f64 -1/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))))) (pow.f64 (pow.f64 b_2 2) 1/3))))
(fma.f64 -1/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (fma.f64 -1/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18)))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) (fma.f64 2/9 (.f64 (.f64 (pow.f64 c 3) 1) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4)))) (.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3))))) (cbrt.f64 (*.f64 b_2 b_2)))))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (fma.f64 -1/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))))) (fma.f64 -1/3 (.f64 (pow.f64 a 3) (.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (.f64 (pow.f64 c 3) -1/27))) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))))) (cbrt.f64 (.f64 b_2 b_2)))))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (fma.f64 -1/9 (.f64 c (.f64 c (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) a)))) (fma.f64 -1/3 (.f64 (pow.f64 a 3) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) 5/27) (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))))) (cbrt.f64 (*.f64 b_2 b_2)))))
(pow.f64 (pow.f64 b_2 2) 1/3)
(cbrt.f64 (*.f64 b_2 b_2))
(+.f64 (.f64 -1/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))
(fma.f64 -1/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (cbrt.f64 (.f64 b_2 b_2)))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (cbrt.f64 (.f64 b_2 b_2)))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3)))
(fma.f64 -1/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (fma.f64 -1/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18)))) (cbrt.f64 (*.f64 b_2 b_2))))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (fma.f64 -1/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))))) (cbrt.f64 (*.f64 b_2 b_2))))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (fma.f64 -1/9 (.f64 c (.f64 c (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) a)))) (cbrt.f64 (*.f64 b_2 b_2))))
(+.f64 (.f64 -1/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 c 3)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/9))) (pow.f64 (pow.f64 b_2 2) 1/3))))
(fma.f64 -1/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (fma.f64 -1/3 (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3))) (fma.f64 -1/9 (.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18)))) (cbrt.f64 (.f64 b_2 b_2)))))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 5/27)) (fma.f64 -1/9 (.f64 c (.f64 c (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18))))) (cbrt.f64 (*.f64 b_2 b_2)))))
(fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (.f64 c a))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 5/27)) (fma.f64 -1/9 (.f64 c (.f64 c (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 14)) 1/18) a)))) (cbrt.f64 (*.f64 b_2 b_2)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.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 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) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b_2 (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 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) -1/8))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (*.f64 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))) -1/8))))
(+.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 (/.f64 1 (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 a 3) (pow.f64 c 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 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) -1/8)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (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 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))) -1/8)))))
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 b_2) a) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) 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))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (neg.f64 b_2))
(-.f64 (.f64 (/.f64 1/2 b_2) (.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))))
(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 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (*.f64 c c) 1/8) (/.f64 (/.f64 (pow.f64 b_2 3) a) a))) b_2)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 a b_2) c) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)) a)) b_2)
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 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 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (/.f64 (pow.f64 b_2 3) a) a))) b_2))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (-.f64 (fma.f64 1/2 (.f64 (/.f64 a b_2) c) (.f64 (/.f64 (.f64 1/8 (*.f64 c c)) (/.f64 (pow.f64 b_2 3) a)) a)) 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 b_2) a) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) 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 b_2) a) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) b_2))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) 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)) 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 (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)) (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 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) -1/8))) b_2))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (-.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 1 (.f64 (pow.f64 a 3) (pow.f64 c 3)))) (*.f64 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))) -1/8))) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 (/.f64 -1/2 b_2) (.f64 c 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (.f64 (/.f64 -1/2 b_2) (*.f64 c a)))
(+.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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (.f64 -1/2 (.f64 (/.f64 c 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (.f64 (/.f64 -1/2 b_2) (.f64 c a))))
(+.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 (.f64 -1/8 (.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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) 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 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (.f64 (/.f64 -1/2 b_2) (.f64 c a)))))
(*.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 b_2) a) (.f64 b_2 -2))
(fma.f64 b_2 -2 (.f64 (/.f64 1/2 b_2) (.f64 c a)))
(+.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 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (*.f64 c c) 1/8) (/.f64 (/.f64 (pow.f64 b_2 3) a) a))))
(fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 a b_2) c) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)) a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 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 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (.f64 (/.f64 a b_2) c) (.f64 (/.f64 (.f64 1/8 (*.f64 c c)) (/.f64 (pow.f64 b_2 3) a)) a))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 (/.f64 -1/2 b_2) (.f64 c 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (.f64 -1/2 (*.f64 (/.f64 c b_2) a)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (.f64 (/.f64 -1/2 b_2) (*.f64 c a)))
(+.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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (.f64 -1/2 (.f64 (/.f64 c 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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)) (.f64 (/.f64 -1/2 b_2) (.f64 c a))))
(+.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 -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 4))) (/.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 -1/2 (+.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 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (+.f64 (.f64 (/.f64 a b_2) c) (.f64 (/.f64 (pow.f64 c 4) b_2) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) a)))))
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(fma.f64 b_2 b_2 (fma.f64 (.f64 a a) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (.f64 c c))) (.f64 -1/9 (cbrt.f64 (.f64 b_2 b_2)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (.f64 c c))) 1/9)) (fma.f64 (pow.f64 a 3) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) 2/27 (fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 -2/3 (.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (.f64 (pow.f64 c 3) -1/27))) (cbrt.f64 (/.f64 1 (.f64 b_2 b_2)))) (.f64 2/27 (/.f64 (pow.f64 c 3) (.f64 b_2 b_2)))) (.f64 -1/3 (fma.f64 c (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (.f64 (.f64 c c) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18)) -1/9))) (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (.f64 (pow.f64 c 3) -1/27))))))) (.f64 (.f64 (.f64 a (pow.f64 (pow.f64 b_2 8) 1/18)) (pow.f64 (pow.f64 b_2 8) 1/18)) (.f64 -1 c)))))
(fma.f64 b_2 b_2 (fma.f64 (.f64 a a) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (.f64 c c))) (.f64 -1/9 (cbrt.f64 (.f64 b_2 b_2)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (.f64 c c))) 1/9)) (fma.f64 (pow.f64 a 3) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) 2/27 (fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 -2/3 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) 5/27) (cbrt.f64 (/.f64 1 (.f64 b_2 b_2)))) (.f64 2/27 (/.f64 (pow.f64 c 3) (.f64 b_2 b_2)))) (.f64 -1/3 (fma.f64 c (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (.f64 (.f64 c c) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18)) -1/9))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 c 3)) 5/27))))) (.f64 (.f64 (*.f64 a (pow.f64 (pow.f64 b_2 8) 1/18)) (pow.f64 (pow.f64 b_2 8) 1/18)) (neg.f64 c)))))
(*.f64 (pow.f64 1 1/3) (pow.f64 b_2 2))
(*.f64 b_2 b_2)
(+.f64 (.f64 c (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)))) (.f64 (pow.f64 1 1/3) (pow.f64 b_2 2)))
(+.f64 (.f64 b_2 b_2) (.f64 a (.f64 (.f64 c (*.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18))) -1)))
(fma.f64 c (.f64 -1 (.f64 (.f64 a (pow.f64 (pow.f64 b_2 8) 1/18)) (pow.f64 (pow.f64 b_2 8) 1/18))) (.f64 b_2 b_2))
(fma.f64 c (.f64 (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18)) (neg.f64 a)) (*.f64 b_2 b_2))
(+.f64 (.f64 c (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)))) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9) (pow.f64 a 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9) (pow.f64 a 2))) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2)))) (pow.f64 (.f64 1 (pow.f64 b_2 2)) 1/3))))) (*.f64 (pow.f64 1 1/3) (pow.f64 b_2 2))))
(fma.f64 c (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18))) -1) (fma.f64 (.f64 c c) (fma.f64 2/9 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18))) (.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18))) -1/9)))) (*.f64 b_2 b_2)))
(fma.f64 c (.f64 -1 (.f64 (.f64 a (pow.f64 (pow.f64 b_2 8) 1/18)) (pow.f64 (pow.f64 b_2 8) 1/18))) (fma.f64 (.f64 c c) (+.f64 (.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18)) -1/9))) (.f64 (.f64 a (.f64 a (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18)))) 1/9)) (*.f64 b_2 b_2)))
(fma.f64 c (.f64 (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18)) (neg.f64 a)) (fma.f64 (.f64 c c) (+.f64 (.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18)) -1/9))) (.f64 (.f64 a (.f64 a (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18)))) 1/9)) (.f64 b_2 b_2)))
(+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2)))) a) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/9))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 2)) 1/3) (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3) (pow.f64 a 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/3))) (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 a 3) (pow.f64 b_2 2)))))))))) (+.f64 (.f64 c (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b_2 8)) 1/9) a)))) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9) (pow.f64 a 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 2)) 1/9) (pow.f64 a 2))) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/9) (pow.f64 a 2)))) (pow.f64 (.f64 1 (pow.f64 b_2 2)) 1/3))))) (.f64 (pow.f64 1 1/3) (pow.f64 b_2 2)))))
(fma.f64 (pow.f64 c 3) (fma.f64 -1/3 (.f64 (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18))) -1/9) (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)))) (+.f64 (.f64 2/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3))) (fma.f64 -1/3 (.f64 1 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3))))) (.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 -2/3 (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)))) (cbrt.f64 (/.f64 1 (.f64 b_2 b_2)))) (.f64 2/27 (/.f64 (pow.f64 a 3) (.f64 b_2 b_2)))))))) (fma.f64 c (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18))) -1) (fma.f64 (.f64 c c) (fma.f64 2/9 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18))) (.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18))) -1/9)))) (*.f64 b_2 b_2))))
(fma.f64 (pow.f64 c 3) (fma.f64 -1/3 (.f64 (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18)) -1/9)) (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 2/27 (fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 5/27) -2/3) (cbrt.f64 (/.f64 1 (.f64 b_2 b_2))) (.f64 2/27 (/.f64 (pow.f64 a 3) (.f64 b_2 b_2)))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 5/27))))) (fma.f64 c (.f64 -1 (.f64 (.f64 a (pow.f64 (pow.f64 b_2 8) 1/18)) (pow.f64 (pow.f64 b_2 8) 1/18))) (fma.f64 (.f64 c c) (+.f64 (.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18)) -1/9))) (.f64 (.f64 a (.f64 a (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18)))) 1/9)) (*.f64 b_2 b_2))))
(fma.f64 (pow.f64 c 3) (fma.f64 -1/3 (.f64 (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18)) -1/9)) (.f64 (.f64 a (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 b_2 4)) 1/18))) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 2/27 (fma.f64 (cbrt.f64 (.f64 b_2 b_2)) (fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 5/27) -2/3) (cbrt.f64 (/.f64 1 (.f64 b_2 b_2))) (.f64 2/27 (/.f64 (pow.f64 a 3) (.f64 b_2 b_2)))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b_2 4))) (pow.f64 a 3)) 5/27))))) (fma.f64 c (.f64 (.f64 (pow.f64 (pow.f64 b_2 8) 1/18) (pow.f64 (pow.f64 b_2 8) 1/18)) (neg.f64 a)) (fma.f64 (.f64 c c) (+.f64 (.f64 (cbrt.f64 (.f64 b_2 b_2)) (.f64 (.f64 a a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b_2 8)) 1/18)) -1/9))) (.f64 (.f64 a (.f64 a (.f64 (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18) (pow.f64 (/.f64 1 (.f64 b_2 b_2)) 1/18)))) 1/9)) (.f64 b_2 b_2))))

localize4.0ms (0%)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.9b	(/.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))) a)
	3.5b	(*.f64 c (/.f64 a b_2))
✓	3.5b	(*.f64 c (/.f64 a b_2))
✓	9.9b	(/.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))) a)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`log-prod_binary64`
449×	`exp-prod_binary64`
323×	`pow-prod-down_binary64`
262×	`pow2_binary64`
236×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	195	20
2	2748	20

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

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

simplify20.0ms (0.2%)

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

167 → 97

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

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
	0.4b	(/.f64 -1/2 (/.f64 b_2 a))
✓	0.4b	(/.f64 -1/2 (/.f64 b_2 a))
✓	0.5b	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)

series25.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	a	@	-inf	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
1.0ms	b_2	@	0	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
1.0ms	b_2	@	-inf	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
1.0ms	a	@	0	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
1.0ms	b_2	@	inf	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`pow1_binary64`
789×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
772×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	175	14
2	2209	14

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.2%)

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	9	336
1	15	336
2	21	336
3	29	336
4	31	336

Stop Event

1×

saturated

Counts

106 → 59

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

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

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	22.7b	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
	5.3b	(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	0.1b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2) a)
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	5.3b	(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))
✓	22.7b	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	24.3b	(-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2)) b_2)

series30.0ms (0.3%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
16.0ms	b_2	@	inf	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	b_2	@	0	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	c	@	inf	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	a	@	inf	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	a	@	0	(log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`fma-def_binary64`
630×	`log-prod_binary64`
339×	`pow2_binary64`
279×	`fma-neg_binary64`
230×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	266	39
2	3618	37

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

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

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

806×	`associate-r_binary64`
787×	`associate-/r*_binary64`
739×	`associate-/l*_binary64`
675×	`associate-l_binary64`
332×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	2586
1	694	2486
2	2364	2420

Stop Event

1×	node limit

Counts

290 → 312

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 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)))))
(log.f64 (neg.f64 (*.f64 c a)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (log.f64 (neg.f64 (*.f64 c a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (neg.f64 (*.f64 c a)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 (*.f64 c a))))))
(*.f64 -2 (log.f64 (/.f64 1 b_2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))))
(*.f64 -2 (log.f64 (/.f64 -1 b_2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 -1 b_2))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b_2))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b_2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(log.f64 (pow.f64 b_2 2))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 c))))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(log.f64 (pow.f64 b_2 2))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 a)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (log.f64 (neg.f64 a)) (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b_2 2) (.f64 c a))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b_2 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/3 (/.f64 (pow.f64 b_2 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(.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)))))

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

eval709.0ms (7.5%)

Compiler: Compiled 28324 to 11785 computations (58.4% saved)

prune239.0ms (2.5%)

Pruning

35 alts after pruning (22 fresh and 13 done)

	Pruned	Kept	Total
New	1088	9	1097
Fresh	6	13	19
Picked	1	0	1
Done	1	13	14
Total	1096	35	1131

Error

0.0b

Counts

1131 → 35

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.4b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a) (/.f64 b_2 a))
	44.2b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 a (neg.f64 c))) 1/2)) b_2) a)
	47.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
✓	43.0b	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
✓	31.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	37.8b	(*.f64 (/.f64 -1/2 b_2) c)
	47.7b	(/.f64 -2 (/.f64 a b_2))
✓	59.5b	(/.f64 (neg.f64 b_2) a)
✓	47.7b	(pow.f64 (/.f64 -1/2 (/.f64 b_2 a)) -1)
✓	33.2b	(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 b_2 a))
✓	54.6b	(/.f64 (-.f64 b_2 b_2) a)
	46.3b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2) (sqrt.f64 a)))
	47.6b	(*.f64 (/.f64 b_2 a) -2)
	48.0b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2)) -1)
	48.2b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	53.2b	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (.f64 b_2 b_2)) 1/2)) b_2) a)
	41.6b	(*.f64 (/.f64 -1/2 (/.f64 (/.f64 b_2 c) a)) (/.f64 1 a))
✓	31.4b	(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
✓	31.4b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))) b_2))
✓	43.1b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	46.0b	(-.f64 (/.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) a) (/.f64 b_2 a))
	43.7b	(*.f64 -1/2 (/.f64 1 (/.f64 (/.f64 a c) (/.f64 a b_2))))
✓	43.2b	(/.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))) a)
	57.2b	(exp.f64 (log.f64 (/.f64 b_2 (*.f64 -1/2 a))))
	37.6b	(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
	40.6b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) b_2) a)
	48.0b	(.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2))
	33.2b	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2) b_2) a)
	37.9b	(/.f64 -1/2 (/.f64 b_2 c))
	37.7b	(*.f64 -1/2 (/.f64 c b_2))
	41.6b	(pow.f64 (/.f64 a (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)) -1)
✓	43.2b	(/.f64 (.f64 -1/2 (.f64 c (*.f64 a (/.f64 1 b_2)))) a)
✓	47.7b	(*.f64 (/.f64 -2 a) b_2)
	43.2b	(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 c c) b_2) (/.f64 a (.f64 b_2 b_2)))) (*.f64 -1/2 (/.f64 c b_2)))
	32.8b	(/.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3/2) b_2) a)

Compiler

Compiled 474 to 327 computations (31% saved)

regimes713.0ms (7.5%)

Counts

55 → 3

Calls

Call 1

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

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

Calls

4 calls:

331.0ms	a
165.0ms	c
110.0ms	b_2
89.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
22.7b	6	`a`
8.5b	3	`b_2`
23.3b	6	`c`
10.1b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 610 to 281 computations (53.9% saved)

bsearch366.0ms (3.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
258.0ms	2.093056281473919e-7	9.155746307735222e-6
108.0ms	-8.563487362150672e+154	-2.2597551235972048e+148

Compiler

Compiled 476 to 323 computations (32.1% saved)

regimes279.0ms (2.9%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

3 calls:

128.0ms	c
101.0ms	a
42.0ms	b_2

Results

Error	Segments	Branch
30.2b	8	`a`
12.5b	3	`b_2`
32.0b	8	`c`

Compiler

Compiled 249 to 131 computations (47.4% saved)

bsearch230.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
123.0ms	1.8194262091283324e-94	6.123539473989913e-87
106.0ms	-7.02853613242176e-37	-1.7033546462618153e-51

Compiler

Compiled 500 to 359 computations (28.2% saved)

regimes251.0ms (2.6%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

3 calls:

95.0ms	b_2
84.0ms	c
65.0ms	a

Results

Error	Segments	Branch
36.1b	3	`a`
22.8b	2	`b_2`
36.7b	3	`c`

Compiler

Compiled 229 to 120 computations (47.6% saved)

bsearch39.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	-5.541293149419092e-283	-3.2644309409120593e-283

Compiler

Compiled 118 to 87 computations (26.3% saved)

regimes151.0ms (1.6%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	a
55.0ms	b_2
34.0ms	c

Results

Error	Segments	Branch
36.1b	3	`a`
22.8b	2	`b_2`
36.7b	3	`c`

Compiler

Compiled 166 to 89 computations (46.4% saved)

bsearch45.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	4.084101132109066e-278	2.0964187331202272e-277

Compiler

Compiled 130 to 99 computations (23.8% saved)

regimes18.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	c
5.0ms	a
4.0ms	b_2

Results

Error	Segments	Branch
47.6b	1	`a`
47.6b	1	`b_2`
47.6b	1	`c`

Compiler

Compiled 39 to 24 computations (38.5% saved)

regimes29.0ms (0.3%)

Accuracy

Total -11.8b remaining (-24.8%)

Threshold costs -11.8b (-24.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	b_2
3.0ms	c
3.0ms	a

Results

Error	Segments	Branch
47.7b	1	`a`
47.7b	1	`b_2`
47.7b	1	`c`

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	171
1	69	171
2	83	171
3	91	171
4	94	171

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -23000000000000000558621957872519090088501996168703566977353661578606635467733631281833881334095231068654842117546950771181508952233787949419444830208) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 1983393922805251/9444732965739290427392) (/.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 -47179906667513616/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 3475843022505273/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -13812415639510478/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 6546356215273881/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784) (.f64 (/.f64 b_2 a) -2) (.f64 -1/2 (/.f64 c b_2)))
(*.f64 (/.f64 b_2 a) -2)
(/.f64 -2 (/.f64 a b_2))
(/.f64 (neg.f64 b_2) a)

Outputs
(if (<=.f64 b_2 -23000000000000000558621957872519090088501996168703566977353661578606635467733631281833881334095231068654842117546950771181508952233787949419444830208) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 1983393922805251/9444732965739290427392) (/.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 -23000000000000000558621957872519090088501996168703566977353661578606635467733631281833881334095231068654842117546950771181508952233787949419444830208) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 -2 (/.f64 b_2 a))) (if (<=.f64 b_2 1983393922805251/9444732965739290427392) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (*.f64 (/.f64 c b_2) -1/2)))
(if (<=.f64 b_2 -47179906667513616/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 3475843022505273/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -2948744166719601/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 -2 (/.f64 b_2 a))) (if (<=.f64 b_2 3475843022505273/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (.f64 (/.f64 c b_2) -1/2)))
(if (<=.f64 b_2 -13812415639510478/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 -6906207819755239/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 -2 (/.f64 b_2 a))) (*.f64 (/.f64 c b_2) -1/2))
(if (<=.f64 b_2 6546356215273881/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784) (.f64 (/.f64 b_2 a) -2) (.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 6546356215273881/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784) (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 c b_2) -1/2))
(*.f64 (/.f64 b_2 a) -2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(/.f64 (neg.f64 b_2) a)

end101.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 258 to 157 computations (39.1% saved)