Details

analyze283.0ms (2%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.7s (12%)

Results

659.0ms	5581×	body	256	valid
407.0ms	1152×	body	2048	valid
196.0ms	723×	body	1024	valid
182.0ms	414×	body	4096	valid
130.0ms	1209×	body	256	invalid
74.0ms	386×	body	512	valid
42.0ms	384×	body	256	infinite

Bogosity

preprocess15.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

28×	`rational_best-simplify-2`
16×	`rational_best-simplify-49`
16×	`rational_best-simplify-56`
14×	`rational_best-simplify-13`
8×	`rational_best-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	62	156
2	91	156
3	103	156
4	111	156
0	3	3

Stop Event

1×	saturated
1×	saturated

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`rational_best-simplify-2`
6×	`rational_best-simplify-13`
4×	`rational_best-simplify-49`
4×	`rational_best-simplify-56`
4×	`rational_best-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	23	39
2	32	39
3	36	39
4	39	39
5	41	39

Stop Event

1×

saturated

Counts

1 → 1

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)

eval0.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

34.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.0b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	23.8b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series88.0ms (0.6%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
74.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	b_2	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	c	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite113.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`rational_best-simplify-2`
956×	`rational_best-2`
956×	`rational_best-1`
954×	`rational_best-4`
954×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	89	114
2	179	114
3	328	114
4	602	114
5	1469	114
6	3701	114
7	5492	114
8	6504	114

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

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

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

simplify235.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational_best-simplify-2`
966×	`rational_best-simplify-1`
840×	`rational_best-simplify-60`
768×	`rational_best-simplify-56`
676×	`rational_best-simplify-55`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	307	8027
1	574	8001
2	932	7933
3	1639	7933
4	3239	7921
5	4888	7921
6	6084	7915

Stop Event

1×	node limit

Counts

193 → 256

Calls

Call 1

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

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

eval82.0ms (0.6%)

Compiler: Compiled 6114 to 2947 computations (51.8% saved)

prune109.0ms (0.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	234	22	256
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	234	23	257

Error

2.4b

Counts

257 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	56.1b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (neg.f64 b_2) (.f64 a (.f64 1/2 (/.f64 c b_2))))) a)
	44.5b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 a (.f64 -1/2 (/.f64 c b_2))))) a)
✓	34.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	45.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	56.0b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	50.3b	(/.f64 (+.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (.f64 c a) 4)) (pow.f64 (.f64 -1/8 (pow.f64 (.f64 c a) 2)) 2)) (pow.f64 b_2 7)) (.f64 c (/.f64 a b_2))))) a)
	47.4b	(/.f64 (+.f64 (.f64 c (.f64 -1/2 (/.f64 a b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	44.5b	(/.f64 (+.f64 (.f64 1/2 (.f64 c (/.f64 a b_2))) (*.f64 b_2 -2)) a)
▶	43.1b	(/.f64 (.f64 c (.f64 -1/2 (/.f64 a b_2))) a)
	44.3b	(/.f64 (*.f64 b_2 -2) a)
	44.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	46.0b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	35.2b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
	35.9b	(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 (/.f64 1 a) (+.f64 b_2 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))))
	36.0b	(+.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 2) (.f64 (/.f64 1 a) (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) -2))))
	44.5b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	43.8b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
	35.1b	(.f64 (/.f64 1 a) (+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
▶	35.0b	(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	44.4b	(*.f64 b_2 (/.f64 -2 a))
▶	39.5b	(*.f64 -1/2 (/.f64 c b_2))
	52.6b	(neg.f64 (+.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (/.f64 b_2 a)))
▶	53.2b	(neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))

Compiler

Compiled 860 to 536 computations (37.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 -1 a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.0b	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
	23.8b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 55 to 14 computations (74.5% saved)

series4.0ms (0%)

Counts

2 → 40

Calls

18 calls:

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

rewrite156.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`rational_best-simplify-2`
1208×	`rational_best-2`
1208×	`rational_best-3`
1208×	`rational_best-1`
1200×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	90	70
2	133	70
3	158	70
4	182	70
5	234	70
6	290	70
7	432	70
8	651	70
9	1263	70
10	2119	70
11	2768	70
12	3529	70
13	5116	70
14	7395	70

Stop Event

1×	node limit

Counts

2 → 10

Calls

Call 1

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

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

Outputs

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

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

simplify841.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1724×	`rational_best-simplify-2`
1676×	`rational_best-simplify-46`
1262×	`rational_best-simplify-60`
800×	`rational_best-simplify-56`
524×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	2828
1	287	2804
2	452	2792
3	676	2792
4	889	2792
5	1059	2792
6	1433	2792
7	1600	2792
8	1742	2792
9	1804	2792
10	1824	2792
11	1884	2792
12	2746	2792
13	2794	2792
14	2979	2792
15	3257	2792
16	3420	2792
17	3557	2792
18	3635	2792
19	3642	2792
20	3648	2792
21	3651	2792
22	3676	2792
23	3789	2792
24	4018	2792
25	4961	2792
26	7598	2792

Stop Event

1×	node limit

Counts

50 → 122

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(*.f64 2 b_2)
(+.f64 (.f64 2 b_2) (.f64 -1/2 (/.f64 (*.f64 c 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 1/2 (/.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 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 -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 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.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 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 -1 (/.f64 b_2 a))))
(+.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 (.f64 -1 (.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 (/.f64 b_2 a)))))
(*.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 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 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 0)
(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) 1)
(.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1)
(pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1)
(+.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a)) 0)
(+.f64 0 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a)))
(-.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a)) 0)
(/.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a)) 1)
(pow.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 -1 a)) 1)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`rational_best-1`
1406×	`rational_best-4`
1406×	`rational_best-2`
1406×	`rational_best-3`
1398×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	75	13
3	116	13
4	197	13
5	433	13
6	1666	13
7	4353	13
8	7046	13

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1648×	`rational_best-simplify-2`
1632×	`rational_best-simplify-43`
1042×	`rational_best-simplify-53`
882×	`rational_best-simplify-41`
660×	`rational_best-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	104
1	32	104
2	45	104
3	58	104
4	65	104
5	87	104
6	102	104
7	112	104
8	124	104
9	149	104
10	211	104
11	411	104
12	1041	104
13	2748	104
14	3827	104
15	4538	104
16	6429	104
17	7224	104

Stop Event

1×	node limit

Counts

8 → 9

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (/.f64 a b_2))
✓	1.7b	(.f64 c (.f64 -1/2 (/.f64 a b_2)))
✓	8.2b	(/.f64 (.f64 c (.f64 -1/2 (/.f64 a b_2))) a)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

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

rewrite115.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`rational_best-4`
1618×	`rational_best-2`
1618×	`rational_best-3`
1618×	`rational_best-1`
1614×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	68	57
2	135	57
3	258	57
4	578	57
5	1955	57
6	5876	57

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

Outputs

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

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

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

simplify259.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

980×	`rational_best-simplify-54`
962×	`rational_best-simplify-1`
916×	`rational_best-simplify-59`
856×	`rational_best-simplify-53`
830×	`rational_best-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	318	4212
1	582	4208
2	969	4204
3	1972	4164
4	4879	4144
5	7967	4144

Stop Event

1×	node limit

Counts

260 → 223

Calls

Call 1

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

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

localize83.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.9b	(sqrt.f64 (/.f64 c (neg.f64 a)))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`rational_best-1`
1396×	`rational_best-4`
1396×	`rational_best-2`
1396×	`rational_best-3`
1390×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	98	15
3	133	15
4	188	15
5	416	15
6	1558	15
7	4249	15
8	7016	15

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 c (neg.f64 a)))

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-2`
4×	`exponential-simplify-11`
2×	`rational_best-simplify-5`
2×	`rational_best-simplify-4`
2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	105
1	23	105
2	28	105

Stop Event

1×

saturated

Counts

7 → 8

Calls

Call 1

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

Outputs
(+.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) 0)
(sqrt.f64 (/.f64 c (neg.f64 a)))
(+.f64 0 (sqrt.f64 (/.f64 c (neg.f64 a))))
(sqrt.f64 (/.f64 c (neg.f64 a)))
(-.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) 0)
(sqrt.f64 (/.f64 c (neg.f64 a)))
(*.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) 1)
(sqrt.f64 (/.f64 c (neg.f64 a)))
(*.f64 1 (sqrt.f64 (/.f64 c (neg.f64 a))))
(sqrt.f64 (/.f64 c (neg.f64 a)))
(/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) 1)
(sqrt.f64 (/.f64 c (neg.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) 1)
(sqrt.f64 (/.f64 c (neg.f64 a)))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/2 (/.f64 c b_2))
✓	5.3b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
✓	6.4b	(*.f64 (pow.f64 c 2) a)
✓	14.0b	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))

Compiler

Compiled 66 to 42 computations (36.4% saved)

series8.0ms (0.1%)

Counts

3 → 9

Calls

24 calls:

Time	Variable		Point	Expression
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))
0.0ms	c	@	inf	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
0.0ms	a	@	inf	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`rational_best-4`
1040×	`rational_best-2`
1040×	`rational_best-3`
1040×	`rational_best-1`
1040×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	87
1	110	87
2	179	87
3	298	87
4	524	87
5	1315	87
6	4103	87

Stop Event

1×	node limit

Counts

3 → 46

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)))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 c 2) (*.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 c 2) (*.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 c 2) (*.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 c 2) (*.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 c 2) (*.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 1)))))

simplify162.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1828×	`rational_best-simplify-2`
964×	`rational_best-simplify-56`
954×	`rational_best-simplify-46`
648×	`rational_best-simplify-55`
566×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1381
1	163	1381
2	272	1381
3	487	1381
4	1023	1381
5	2082	1381
6	4283	1381
7	5771	1381
8	7240	1381

Stop Event

1×	node limit

Counts

55 → 56

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))
(+.f64 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))) 0)
(+.f64 0 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))))
(+.f64 (.f64 (pow.f64 c 2) (.f64 2 (/.f64 a (pow.f64 b_2 3)))) (*.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))))
(+.f64 (.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))) (.f64 (pow.f64 c 2) (*.f64 2 (/.f64 a (pow.f64 b_2 3)))))
(-.f64 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))) 0)
(-.f64 0 (*.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(.f64 (pow.f64 c 2) (.f64 (neg.f64 a) (/.f64 -1 (pow.f64 b_2 3))))
(*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)))
(.f64 (.f64 (pow.f64 c 2) a) (/.f64 1 (pow.f64 b_2 3)))
(.f64 (.f64 (pow.f64 c 2) a) (neg.f64 (/.f64 -1 (pow.f64 b_2 3))))
(.f64 (.f64 (pow.f64 c 2) a) (*.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3))) -1))
(.f64 (.f64 (pow.f64 c 2) a) (neg.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3)))))
(.f64 (.f64 (pow.f64 c 2) a) (+.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3))) (*.f64 (/.f64 1 (pow.f64 b_2 3)) 2)))
(.f64 (.f64 (pow.f64 c 2) a) (+.f64 (/.f64 -1 (pow.f64 b_2 3)) (*.f64 (/.f64 1 (pow.f64 b_2 3)) 2)))
(.f64 (.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))) 1)
(.f64 1 (.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))))
(*.f64 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)) a)
(*.f64 (/.f64 a (pow.f64 b_2 3)) (pow.f64 c 2))
(.f64 (/.f64 1 (pow.f64 b_2 3)) (.f64 (pow.f64 c 2) a))
(.f64 (.f64 (pow.f64 c 2) (neg.f64 a)) (/.f64 1 (neg.f64 (pow.f64 b_2 3))))
(.f64 (.f64 (pow.f64 c 2) (neg.f64 a)) (neg.f64 (/.f64 1 (pow.f64 b_2 3))))
(.f64 (.f64 (pow.f64 c 2) (neg.f64 a)) (+.f64 (/.f64 1 (pow.f64 b_2 3)) (+.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3))) (/.f64 1 (neg.f64 (pow.f64 b_2 3))))))
(*.f64 (neg.f64 (pow.f64 c 2)) (/.f64 a (neg.f64 (pow.f64 b_2 3))))
(.f64 -1 (.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))))
(*.f64 (neg.f64 a) (/.f64 (pow.f64 c 2) (neg.f64 (pow.f64 b_2 3))))
(*.f64 (/.f64 a (neg.f64 (pow.f64 b_2 3))) (neg.f64 (pow.f64 c 2)))
(.f64 (.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))) -1)
(*.f64 (/.f64 (pow.f64 c 2) (neg.f64 (pow.f64 b_2 3))) (neg.f64 a))
(.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3))) (.f64 (pow.f64 c 2) (neg.f64 a)))
(.f64 (/.f64 -1 (pow.f64 b_2 3)) (.f64 (pow.f64 c 2) (neg.f64 a)))
(pow.f64 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))) 1)
(neg.f64 (*.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))))
(+.f64 (*.f64 (pow.f64 c 2) a) 0)
(+.f64 0 (*.f64 (pow.f64 c 2) a))
(-.f64 (*.f64 (pow.f64 c 2) a) 0)
(-.f64 0 (*.f64 (pow.f64 c 2) (neg.f64 a)))
(/.f64 (*.f64 (pow.f64 c 2) a) 1)
(/.f64 (*.f64 (pow.f64 c 2) (neg.f64 a)) -1)
(pow.f64 (*.f64 (pow.f64 c 2) a) 1)
(neg.f64 (*.f64 (pow.f64 c 2) (neg.f64 a)))
(-.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 0)
(.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 c b_2))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 c b_2))))
(/.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 1)
(pow.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 1)

Outputs
(*.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 a (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))
(.f64 -1/8 (.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))))
(.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 -1/8 (pow.f64 c 2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(.f64 -1/8 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))
(.f64 -1/8 (.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))))
(.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 -1/8 (pow.f64 c 2)))
(*.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 a (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))
(.f64 -1/8 (.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))))
(.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 -1/8 (pow.f64 c 2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(.f64 -1/8 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))
(.f64 -1/8 (.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))))
(.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 -1/8 (pow.f64 c 2)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3)))
(.f64 -1/8 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))))
(.f64 -1/8 (.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))))
(.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 -1/8 (pow.f64 c 2)))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))) 0)
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(+.f64 0 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(+.f64 (.f64 (pow.f64 c 2) (.f64 2 (/.f64 a (pow.f64 b_2 3)))) (*.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(+.f64 (.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))) (.f64 (pow.f64 c 2) (*.f64 2 (/.f64 a (pow.f64 b_2 3)))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(-.f64 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))) 0)
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(-.f64 0 (*.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (pow.f64 c 2) (.f64 (neg.f64 a) (/.f64 -1 (pow.f64 b_2 3))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) a) (/.f64 1 (pow.f64 b_2 3)))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) a) (neg.f64 (/.f64 -1 (pow.f64 b_2 3))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) a) (*.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3))) -1))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) a) (neg.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3)))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) a) (+.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3))) (*.f64 (/.f64 1 (pow.f64 b_2 3)) 2)))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) a) (+.f64 (/.f64 -1 (pow.f64 b_2 3)) (*.f64 (/.f64 1 (pow.f64 b_2 3)) 2)))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))) 1)
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 1 (.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(*.f64 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3)) a)
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(*.f64 (/.f64 a (pow.f64 b_2 3)) (pow.f64 c 2))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (/.f64 1 (pow.f64 b_2 3)) (.f64 (pow.f64 c 2) a))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) (neg.f64 a)) (/.f64 1 (neg.f64 (pow.f64 b_2 3))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) (neg.f64 a)) (neg.f64 (/.f64 1 (pow.f64 b_2 3))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) (neg.f64 a)) (+.f64 (/.f64 1 (pow.f64 b_2 3)) (+.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3))) (/.f64 1 (neg.f64 (pow.f64 b_2 3))))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(*.f64 (neg.f64 (pow.f64 c 2)) (/.f64 a (neg.f64 (pow.f64 b_2 3))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 -1 (.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(*.f64 (neg.f64 a) (/.f64 (pow.f64 c 2) (neg.f64 (pow.f64 b_2 3))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(*.f64 (/.f64 a (neg.f64 (pow.f64 b_2 3))) (neg.f64 (pow.f64 c 2)))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))) -1)
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(*.f64 (/.f64 (pow.f64 c 2) (neg.f64 (pow.f64 b_2 3))) (neg.f64 a))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (/.f64 1 (neg.f64 (pow.f64 b_2 3))) (.f64 (pow.f64 c 2) (neg.f64 a)))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(.f64 (/.f64 -1 (pow.f64 b_2 3)) (.f64 (pow.f64 c 2) (neg.f64 a)))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(pow.f64 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3))) 1)
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(neg.f64 (*.f64 (pow.f64 c 2) (/.f64 a (neg.f64 (pow.f64 b_2 3)))))
(*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))
(+.f64 (*.f64 (pow.f64 c 2) a) 0)
(*.f64 (pow.f64 c 2) a)
(+.f64 0 (*.f64 (pow.f64 c 2) a))
(*.f64 (pow.f64 c 2) a)
(-.f64 (*.f64 (pow.f64 c 2) a) 0)
(*.f64 (pow.f64 c 2) a)
(-.f64 0 (*.f64 (pow.f64 c 2) (neg.f64 a)))
(*.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 (pow.f64 c 2) a) 1)
(*.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 (pow.f64 c 2) (neg.f64 a)) -1)
(*.f64 (pow.f64 c 2) a)
(pow.f64 (*.f64 (pow.f64 c 2) a) 1)
(*.f64 (pow.f64 c 2) a)
(neg.f64 (*.f64 (pow.f64 c 2) (neg.f64 a)))
(*.f64 (pow.f64 c 2) a)
(-.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 0)
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 -1/8 (pow.f64 c 2))))
(.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 c b_2))) 1)
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 -1/8 (pow.f64 c 2))))
(.f64 1 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 -1/8 (pow.f64 c 2))))
(/.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 1)
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 -1/8 (pow.f64 c 2))))
(pow.f64 (+.f64 (.f64 (pow.f64 c 2) (.f64 -1/8 (/.f64 a (pow.f64 b_2 3)))) (*.f64 -1/2 (/.f64 c b_2))) 1)
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (*.f64 (pow.f64 c 2) (/.f64 a (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/2 (/.f64 c b_2)) (.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 -1/8 (pow.f64 c 2))))

eval505.0ms (3.5%)

Compiler: Compiled 10020 to 5840 computations (41.7% saved)

prune127.0ms (0.9%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	504	12	516
Fresh	1	16	17
Picked	0	1	1
Done	2	3	5
Total	507	32	539

Error

2.4b

Counts

539 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	56.1b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (neg.f64 b_2) (.f64 a (.f64 1/2 (/.f64 c b_2))))) a)
	44.5b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 a (.f64 -1/2 (/.f64 c b_2))))) a)
✓	34.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	45.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	56.0b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	50.3b	(/.f64 (+.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (.f64 c a) 4)) (pow.f64 (.f64 -1/8 (pow.f64 (.f64 c a) 2)) 2)) (pow.f64 b_2 7)) (.f64 c (/.f64 a b_2))))) a)
	47.4b	(/.f64 (+.f64 (.f64 c (.f64 -1/2 (/.f64 a b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	44.5b	(/.f64 (+.f64 (.f64 1/2 (.f64 c (/.f64 a b_2))) (*.f64 b_2 -2)) a)
	44.3b	(/.f64 (*.f64 b_2 -2) a)
▶	44.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
▶	46.0b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	35.2b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
	35.9b	(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 (/.f64 1 a) (+.f64 b_2 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))))
	36.0b	(+.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) 2) (.f64 (/.f64 1 a) (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) -2))))
	41.0b	(+.f64 (.f64 c (/.f64 (.f64 (/.f64 a b_2) 1/2) a)) (*.f64 c (/.f64 (neg.f64 (/.f64 a a)) b_2)))
	44.5b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 1/2 (/.f64 c b_2)))
✓	43.8b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
	41.1b	(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)
	39.5b	(.f64 (/.f64 c b_2) (.f64 (+.f64 (/.f64 -1/2 a) (+.f64 (*.f64 -1/2 (/.f64 1 a)) (/.f64 -1/2 (neg.f64 a)))) a))
	42.8b	(.f64 (/.f64 a b_2) (.f64 c (/.f64 -1/2 a)))
	43.0b	(.f64 (/.f64 1 b_2) (.f64 (/.f64 -1/2 a) (*.f64 c a)))
▶	35.1b	(.f64 (/.f64 1 a) (+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
	43.1b	(.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))
	42.5b	(.f64 (/.f64 -1 a) (.f64 a (*.f64 1/2 (/.f64 c b_2))))
	46.1b	(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
▶	43.1b	(.f64 (.f64 (*.f64 c (/.f64 -1/2 a)) (/.f64 1 (neg.f64 b_2))) (neg.f64 a))
	45.6b	(.f64 (.f64 (.f64 c -1/2) (/.f64 1 (.f64 a b_2))) a)
	39.6b	(.f64 (.f64 c (/.f64 1 b_2)) (*.f64 a (/.f64 -1/2 a)))
▶	44.4b	(*.f64 b_2 (/.f64 -2 a))
✓	39.5b	(*.f64 -1/2 (/.f64 c b_2))
	52.6b	(neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 c (neg.f64 a)))))
✓	53.2b	(neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))

Compiler

Compiled 1093 to 700 computations (36% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	1.0b	(+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
✓	2.4b	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	23.8b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 170 to 36 computations (78.8% saved)

series14.0ms (0.1%)

Counts

4 → 80

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
1.0ms	a	@	inf	(+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
1.0ms	a	@	-inf	(+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
1.0ms	b_2	@	-inf	(+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
1.0ms	c	@	-inf	(+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))

rewrite186.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`rational_best-simplify-2`
1382×	`rational_best-simplify-1`
1172×	`rational_best-4`
1172×	`rational_best-2`
1172×	`rational_best-3`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	184
1	117	184
2	174	184
3	242	184
4	318	184
5	470	150
6	752	114
7	1641	114
8	2446	114
9	3114	114
10	3426	114
11	3556	114
12	3922	114
13	4779	114
14	7100	114

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))

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

simplify283.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational_best-simplify-1`
1020×	`rational_best-simplify-42`
890×	`rational_best-simplify-2`
888×	`rational_best-simplify-52`
546×	`rational_best-simplify-54`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	472	13120
1	991	11252
2	1799	10744
3	3070	10154
4	5066	9926
5	6920	9790
6	7660	9790

Stop Event

1×	node limit

Counts

214 → 358

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite12.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

14×	`rational_best-simplify-2`
12×	`rational_best-4`
12×	`rational_best-2`
12×	`rational_best-3`
12×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	67	13

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 (/.f64 -2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b_2 (/.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 (/.f64 -2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 -2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)))))

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`rational_best-simplify-2`
6×	`rational_best-simplify-7`
4×	`rational_best-simplify-49`
4×	`rational_best-simplify-48`
2×	`rational_best-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	377
1	20	377
2	26	377
3	33	377
4	33	377

Stop Event

1×

saturated

Counts

29 → 7

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

Outputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 b_2 (/.f64 -2 a)) 0)
(*.f64 b_2 (/.f64 -2 a))
(+.f64 0 (*.f64 b_2 (/.f64 -2 a)))
(*.f64 b_2 (/.f64 -2 a))
(-.f64 (*.f64 b_2 (/.f64 -2 a)) 0)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(*.f64 b_2 (/.f64 -2 a))
(pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(*.f64 b_2 (/.f64 -2 a))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.5b	(/.f64 (*.f64 c a) b_2)
✓	8.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

18 calls:

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

rewrite123.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`rational_best-4`
1428×	`rational_best-2`
1428×	`rational_best-3`
1428×	`rational_best-1`
1084×	`rational_best-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	68	38
2	135	38
3	292	38
4	767	38
5	2814	26
6	7011	26

Stop Event

1×	node limit

Counts

2 → 280

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

simplify365.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational_best-simplify-1`
1138×	`rational_best-simplify-48`
1118×	`rational_best-simplify-53`
970×	`rational_best-simplify-2`
672×	`rational_best-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	433	4948
1	789	4948
2	1294	4896
3	2114	4740
4	4510	4740
5	6867	4740

Stop Event

1×	node limit

Counts

316 → 294

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

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 c (/.f64 -1/2 a))
✓	1.9b	(.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 1 (neg.f64 b_2)))
✓	11.0b	(.f64 (.f64 (*.f64 c (/.f64 -1/2 a)) (/.f64 1 (neg.f64 b_2))) (neg.f64 a))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series10.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	c	@	inf	(.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 1 (neg.f64 b_2)))
1.0ms	c	@	0	(.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 1 (neg.f64 b_2)))
0.0ms	b_2	@	0	(.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 1 (neg.f64 b_2)))
0.0ms	c	@	-inf	(.f64 (.f64 c (/.f64 -1/2 a)) (/.f64 1 (neg.f64 b_2)))
0.0ms	c	@	0	(*.f64 c (/.f64 -1/2 a))

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`rational_best-simplify-2`
1040×	`rational_best-4`
1040×	`rational_best-2`
1040×	`rational_best-3`
1040×	`rational_best-1`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	101	81
2	152	81
3	198	81
4	277	77
5	437	77
6	685	73
7	924	67
8	1464	63
9	3092	57
10	5833	57
11	7084	57

Stop Event

1×	node limit

Counts

3 → 29

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (/.f64 -1/2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 c (/.f64 -1/2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 -1/2 a)) 1)))))

simplify155.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2232×	`rational_best-simplify-54`
1134×	`rational_best-simplify-56`
848×	`rational_best-simplify-49`
790×	`rational_best-simplify-53`
786×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	2015
1	136	2015
2	336	2015
3	905	2015
4	2341	2015
5	3817	2015
6	6404	2015

Stop Event

1×	node limit

Counts

125 → 39

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
✓	12.5b	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series94.0ms (0.7%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
88.0ms	a	@	0	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
2.0ms	c	@	-inf	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
1.0ms	c	@	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
0.0ms	c	@	0	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
0.0ms	a	@	inf	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`rational_best-2`
1204×	`rational_best-1`
1202×	`rational_best-4`
1202×	`rational_best-3`
1144×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	70	40
2	125	40
3	187	40
4	290	40
5	685	40
6	2067	40
7	3831	40
8	4895	40
9	6946	40

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1930×	`rational_best-simplify-2`
814×	`rational_best-simplify-46`
546×	`rational_best-simplify-56`
510×	`rational_best-simplify-54`
496×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	780
1	90	780
2	155	780
3	366	780
4	1204	780
5	3006	780
6	4231	780
7	5667	780
8	7713	780

Stop Event

1×	node limit

Counts

36 → 38

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 0)
(+.f64 0 (sqrt.f64 (*.f64 a (neg.f64 c))))
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 1)
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) -1)
(.f64 1 (sqrt.f64 (.f64 a (neg.f64 c))))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 1)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) -1)
(pow.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 0)
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)))
(+.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -2))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 3) (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -2) 2))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2))
(+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2) 2) (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 3))
(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 0)
(-.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -1 a))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (/.f64 1 a))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -1)
(.f64 (/.f64 1 a) (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (/.f64 1 a) (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) -2)))
(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 a (neg.f64 c))))
(.f64 (/.f64 -1 a) (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 0)))
(.f64 (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 0)) (/.f64 -1 a))
(.f64 (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) -2)) (/.f64 1 a))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))

Outputs
(+.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 0)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 0 (sqrt.f64 (*.f64 a (neg.f64 c))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 0)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) -1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(.f64 1 (sqrt.f64 (.f64 a (neg.f64 c))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) -1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(pow.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 0)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(+.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -2))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 3) (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -2) 2))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2) 2) (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 3))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 0)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(-.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -1 a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (/.f64 1 a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 1 a) (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 1 a) (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) -2)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 a (neg.f64 c))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 -1 a) (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 0)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 0)) (/.f64 -1 a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (+.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) -2)) (/.f64 1 a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))

eval640.0ms (4.5%)

Compiler: Compiled 35498 to 14621 computations (58.8% saved)

prune473.0ms (3.3%)

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	944	12	956
Fresh	5	18	23
Picked	0	1	1
Done	2	6	8
Total	951	37	988

Error

2.4b

Counts

988 → 37

Alt Table

Click to see full alt table

Status	Error	Program
▶	56.1b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (neg.f64 b_2) (.f64 a (.f64 1/2 (/.f64 c b_2))))) a)
	44.5b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 a (.f64 -1/2 (/.f64 c b_2))))) a)
✓	34.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	45.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	56.0b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	50.3b	(/.f64 (+.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (.f64 c a) 4)) (pow.f64 (.f64 -1/8 (pow.f64 (.f64 c a) 2)) 2)) (pow.f64 b_2 7)) (.f64 c (/.f64 a b_2))))) a)
	47.4b	(/.f64 (+.f64 (.f64 c (.f64 -1/2 (/.f64 a b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	44.5b	(/.f64 (+.f64 (.f64 1/2 (.f64 c (/.f64 a b_2))) (*.f64 b_2 -2)) a)
▶	44.3b	(/.f64 (*.f64 b_2 -2) a)
✓	44.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	43.0b	(/.f64 (.f64 -1/2 (+.f64 (.f64 c (/.f64 (neg.f64 a) b_2)) (.f64 (/.f64 c b_2) (.f64 a 2)))) a)
✓	46.0b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
▶	35.2b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
	35.9b	(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (.f64 (/.f64 1 a) (+.f64 b_2 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -2))))
	46.2b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 3) (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -2) 2))
▶	46.2b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
	44.5b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 1/2 (/.f64 c b_2)))
✓	43.8b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
▶	43.1b	(.f64 (/.f64 (/.f64 c a) b_2) (.f64 -1/2 a))
	42.9b	(.f64 (/.f64 (.f64 (/.f64 c b_2) 1/2) a) (neg.f64 a))
	41.1b	(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)
	39.5b	(.f64 (/.f64 c b_2) (.f64 (+.f64 (/.f64 -1/2 a) (+.f64 (*.f64 -1/2 (/.f64 1 a)) (/.f64 -1/2 (neg.f64 a)))) a))
	42.8b	(.f64 (/.f64 a b_2) (.f64 c (/.f64 -1/2 a)))
	43.0b	(.f64 (/.f64 1 b_2) (.f64 (/.f64 -1/2 a) (*.f64 c a)))
	41.5b	(.f64 (/.f64 1 b_2) (.f64 (*.f64 -1/2 a) (/.f64 c a)))
	39.6b	(.f64 (/.f64 1 b_2) (.f64 -1/2 c))
	44.6b	(.f64 (/.f64 1 a) (-.f64 (+.f64 (.f64 a (neg.f64 (/.f64 c b_2))) (+.f64 (.f64 c (/.f64 a b_2)) (.f64 b_2 -2))) (.f64 (.f64 a -1/2) (/.f64 c b_2))))
	36.1b	(.f64 (/.f64 1 a) (+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (+.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 3) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) -2)))))
	52.8b	(.f64 (/.f64 1 a) (+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 b_2))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
	41.7b	(.f64 (/.f64 1 a) (+.f64 (+.f64 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	43.1b	(.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))
	42.5b	(.f64 (/.f64 -1/2 a) (.f64 a (/.f64 c b_2)))
	46.1b	(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
✓	44.4b	(*.f64 b_2 (/.f64 -2 a))
✓	39.5b	(*.f64 -1/2 (/.f64 c b_2))
	52.6b	(neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 c (neg.f64 a)))))
✓	53.2b	(neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))

Compiler

Compiled 1304 to 822 computations (37% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a))
	0.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	5.4b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
	23.8b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 58 to 11 computations (81% saved)

series6.0ms (0%)

Counts

2 → 40

Calls

18 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`rational_best-simplify-2`
1280×	`rational_best-2`
1280×	`rational_best-1`
1276×	`rational_best-4`
1276×	`rational_best-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	92	78
2	164	72
3	271	72
4	477	72
5	1118	72
6	3294	72
7	5763	72
8	6882	72
9	7646	72

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify907.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1504×	`rational_best-simplify-2`
1116×	`exponential-simplify-31`
1110×	`rational_best-simplify-43`
1084×	`rational_best-simplify-1`
768×	`rational_best-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	4334
1	346	4310
2	514	4304
3	763	4304
4	1203	4304
5	1400	4304
6	1683	4304
7	1916	4304
8	2124	4304
9	2300	4304
10	4381	4304
11	4594	4304
12	4807	4304
13	5117	4304
14	5338	4304
15	5584	4304
16	5775	4304
17	5790	4304
18	5801	4304
19	5806	4304
20	5817	4304
21	5869	4304
22	5913	4304
23	5914	4304
24	5944	4304
25	5972	4304
26	6001	4304
27	6001	4304
28	6001	4304
29	6001	4304

Stop Event

1×	node limit

Counts

84 → 177

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(/.f64 (/.f64 c a) b_2)
✓	11.0b	(.f64 (/.f64 (/.f64 c a) b_2) (.f64 -1/2 a))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`rational_best-2`
1698×	`rational_best-3`
1698×	`rational_best-1`
806×	`rational_best-simplify-2`
768×	`rational_best-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	70	38
2	148	38
3	317	38
4	834	38
5	3317	26
6	6858	26

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational_best-simplify-52`
1162×	`rational_best-simplify-56`
740×	`rational_best-simplify-46`
736×	`rational_best-simplify-50`
704×	`rational_best-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	146	2217
1	224	2217
2	459	2217
3	984	2217
4	3154	2217
5	5774	2201

Stop Event

1×	node limit

Counts

153 → 88

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 c b_2))
✓	3.1b	(-.f64 (neg.f64 b_2) (+.f64 (neg.f64 b_2) (.f64 a (.f64 1/2 (/.f64 c b_2)))))
✓	3.1b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (neg.f64 b_2) (.f64 a (.f64 1/2 (/.f64 c b_2))))) a)
✓	5.2b	(.f64 a (.f64 1/2 (/.f64 c b_2)))

Compiler

Compiled 62 to 26 computations (58.1% saved)

series3.0ms (0%)

Counts

4 → 108

Calls

33 calls:

Time	Variable		Expression
0.0ms	b_2	@	(.f64 a (.f64 1/2 (/.f64 c b_2)))
0.0ms	b_2	@	(*.f64 1/2 (/.f64 c b_2))
0.0ms	c	@	(.f64 a (.f64 1/2 (/.f64 c b_2)))
0.0ms	c	@	(*.f64 1/2 (/.f64 c b_2))
0.0ms	a	@	(.f64 a (.f64 1/2 (/.f64 c b_2)))

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational_best-4`
1292×	`rational_best-2`
1292×	`rational_best-3`
1292×	`rational_best-1`
1262×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	98	116
2	200	116
3	390	96
4	871	88
5	2795	88
6	6002	88

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (.f64 a (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (.f64 a (/.f64 c b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (/.f64 c b_2)) (/.f64 -1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 1/2 (/.f64 c b_2))) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 a c) (.f64 a b_2)) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 a c) (.f64 a b_2)) -1/2) (.f64 (/.f64 b_2 a) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 a c) (.f64 a b_2)) -1/2) (.f64 (/.f64 (.f64 a c) (.f64 a b_2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 a c) (.f64 a b_2)) -1/2) (/.f64 (-.f64 b_2 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (.f64 a c) (.f64 a b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2)) (neg.f64 a)) (+.f64 (/.f64 b_2 a) (.f64 a (/.f64 (/.f64 c b_2) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 a) (+.f64 (.f64 (/.f64 (.f64 a c) (.f64 a b_2)) -1/2) (/.f64 b_2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 a) (+.f64 (/.f64 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2)) a) (.f64 (/.f64 b_2 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 a) (+.f64 (/.f64 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2)) (neg.f64 a)) (.f64 a (/.f64 (/.f64 c b_2) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 a) (/.f64 (+.f64 b_2 (.f64 1/2 (.f64 a (/.f64 c b_2)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (/.f64 (.f64 a c) (.f64 a b_2))) (.f64 a (/.f64 (/.f64 c b_2) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (/.f64 (.f64 a c) (.f64 a b_2))) (/.f64 (.f64 a (/.f64 (/.f64 c b_2) (neg.f64 a))) (/.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2)) a) (/.f64 b_2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 b_2 a) -2) (/.f64 (+.f64 b_2 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (+.f64 (neg.f64 b_2) (.f64 (.f64 a (/.f64 c b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (+.f64 b_2 (.f64 1/2 (.f64 a (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) (neg.f64 (.f64 a (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) (.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) (-.f64 b_2 b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) (-.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) (-.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b_2 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2))) (.f64 (neg.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2))) (.f64 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2))) (neg.f64 (+.f64 (neg.f64 b_2) (+.f64 (neg.f64 b_2) (.f64 a (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 b_2) (.f64 (.f64 a (/.f64 c b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 a (/.f64 c b_2))) (.f64 1/2 (.f64 a (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2)) 2) (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) 2) (.f64 1/2 (.f64 a (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 b_2) 2) (+.f64 b_2 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 b_2) (.f64 (.f64 a (/.f64 c b_2)) -1/2)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (neg.f64 b_2) (+.f64 (neg.f64 b_2) (.f64 a (/.f64 c b_2))))) (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 b_2 (.f64 1/2 (.f64 a (/.f64 c b_2))))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) (-.f64 b_2 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) (-.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) (-.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) (-.f64 b_2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) (-.f64 b_2 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) (-.f64 b_2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 (.f64 a (/.f64 c b_2)) -1/2) (-.f64 b_2 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (.f64 1/2 (.f64 a (/.f64 c b_2))) (-.f64 b_2 b_2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (/.f64 c b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (/.f64 c b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 1/2 (/.f64 c b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 1/2 (/.f64 c b_2))))))))

simplify246.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1354×	`rational_best-simplify-2`
1212×	`rational_best-simplify-1`
874×	`rational_best-simplify-53`
600×	`rational_best-simplify-59`
568×	`rational_best-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	276	4245
1	493	4237
2	922	4237
3	2361	4237
4	4302	4237
5	5525	4237
6	6004	4237
7	6397	4237
8	7307	4237

Stop Event

1×	node limit

Counts

269 → 178

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
✓	0.2b	(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
✓	0.7b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
✓	12.5b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 62 to 18 computations (71% saved)

series9.0ms (0.1%)

Counts

4 → 0

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
1.0ms	a	@	-inf	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
1.0ms	c	@	0	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
1.0ms	a	@	inf	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
1.0ms	c	@	-inf	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`rational_best-4`
1214×	`rational_best-2`
1214×	`rational_best-3`
1214×	`rational_best-1`
1208×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	90
1	96	90
2	151	88
3	205	88
4	308	88
5	592	88
6	2111	88
7	5088	88

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)

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

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1542×	`rational_best-simplify-44`
1314×	`rational_best-simplify-47`
1174×	`rational_best-simplify-2`
1072×	`rational_best-simplify-1`
700×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1665
1	163	1665
2	323	1665
3	870	1665
4	2122	1665
5	3841	1665
6	5163	1665
7	6018	1665
8	6533	1665
9	7877	1665

Stop Event

1×	node limit

Counts

77 → 81

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 0)
(+.f64 0 (sqrt.f64 (*.f64 a (neg.f64 c))))
(+.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 2))
(+.f64 (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 2) (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 1)
(.f64 1 (sqrt.f64 (.f64 a (neg.f64 c))))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) -1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 1)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) -1)
(pow.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(-.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(-.f64 1 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 1))
(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 0)
(-.f64 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)) 1)
(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) -1) -1)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -1 a))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a))
(.f64 (/.f64 1 a) (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (/.f64 1 a))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (+.f64 (.f64 -3 (/.f64 -1 a)) (.f64 2 (/.f64 -1 a))))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 a (neg.f64 c))))
(.f64 (+.f64 (.f64 -3 (/.f64 -1 a)) (.f64 2 (/.f64 -1 a))) (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(/.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -1)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(/.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) 0)
(+.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
(-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) 0)
(-.f64 0 (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) 1)
(/.f64 (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))) -1)
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) 1)
(neg.f64 (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 0)
(+.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2)))
(+.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 0))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 4))
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(+.f64 1 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -1))
(+.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)) (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 2))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 3))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2) (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 4) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 3) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2))
(+.f64 (.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2)) (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 0) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(+.f64 (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2))
(+.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 1) -1)
(+.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -1) 1)
(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 0)
(-.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)))
(-.f64 1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 1) 1)
(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -1) -1)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 1 a))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)))
(.f64 (/.f64 1 a) (sqrt.f64 (.f64 a (neg.f64 c))))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (/.f64 -1 a))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 -1 a))))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)) -1)
(.f64 (/.f64 -1 a) (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (+.f64 (/.f64 1 a) (.f64 2 (/.f64 -1 a))) (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)))

Outputs
(+.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 0)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 0 (sqrt.f64 (*.f64 a (neg.f64 c))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 2))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 2) (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 0)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) 1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(.f64 1 (sqrt.f64 (.f64 a (neg.f64 c))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) -1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) -1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(pow.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 1)
(sqrt.f64 (*.f64 a (neg.f64 c)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(-.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(-.f64 1 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 1))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 0)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(-.f64 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) -1) -1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -1 a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 -1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 1 a) (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (/.f64 1 a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (+.f64 (.f64 -3 (/.f64 -1 a)) (.f64 2 (/.f64 -1 a))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 a (neg.f64 c))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(.f64 (+.f64 (.f64 -3 (/.f64 -1 a)) (.f64 2 (/.f64 -1 a))) (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(/.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(/.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a))
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) 0)
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -3 a))
(+.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -3 a))
(-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) 0)
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -3 a))
(-.f64 0 (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -3 a))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) 1)
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -3 a))
(/.f64 (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))) -1)
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -3 a))
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) 1)
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -3 a))
(neg.f64 (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))))
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 -3 a))
(+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 0)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 0))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 4))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 1 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -1))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)) (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 2))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 3))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2) (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 4) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 3) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2)) (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 0) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (.f64 -3 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a))) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -2))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 1) -1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(+.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -1) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 0)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(-.f64 0 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(-.f64 1 (-.f64 1 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 1) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -1) -1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (/.f64 1 a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 -1 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 (/.f64 1 a) (sqrt.f64 (.f64 a (neg.f64 c))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (/.f64 -1 a))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))) (+.f64 (/.f64 1 a) (*.f64 2 (/.f64 -1 a))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (neg.f64 a)) -1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 (/.f64 -1 a) (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(.f64 (+.f64 (/.f64 1 a) (.f64 2 (/.f64 -1 a))) (neg.f64 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) 1)
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) (neg.f64 a)))
(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)

eval167.0ms (1.2%)

Compiler: Compiled 14084 to 6198 computations (56% saved)

prune156.0ms (1.1%)

Pruning

40 alts after pruning (29 fresh and 11 done)

	Pruned	Kept	Total
New	653	10	663
Fresh	6	19	25
Picked	0	1	1
Done	1	10	11
Total	660	40	700

Error

2.4b

Counts

700 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	44.5b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 a (.f64 -1/2 (/.f64 c b_2))))) a)
✓	34.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	45.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	56.0b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	50.3b	(/.f64 (+.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (.f64 c a) 4)) (pow.f64 (.f64 -1/8 (pow.f64 (.f64 c a) 2)) 2)) (pow.f64 b_2 7)) (.f64 c (/.f64 a b_2))))) a)
	56.1b	(/.f64 (+.f64 (+.f64 (neg.f64 b_2) (.f64 (.f64 a (/.f64 c b_2)) -1/2)) b_2) a)
	47.4b	(/.f64 (+.f64 (.f64 c (.f64 -1/2 (/.f64 a b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	44.5b	(/.f64 (+.f64 (.f64 1/2 (.f64 c (/.f64 a b_2))) (*.f64 b_2 -2)) a)
✓	44.3b	(/.f64 (*.f64 b_2 -2) a)
✓	44.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	43.0b	(/.f64 (.f64 -1/2 (+.f64 (.f64 c (/.f64 (neg.f64 a) b_2)) (.f64 (/.f64 c b_2) (.f64 a 2)))) a)
✓	46.0b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	59.0b	(-.f64 (/.f64 (+.f64 (neg.f64 b_2) (.f64 1/2 (.f64 c (/.f64 a b_2)))) (neg.f64 a)) (/.f64 b_2 a))
✓	35.2b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
	45.7b	(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 a)) (/.f64 b_2 a))
	58.8b	(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c b_2))) (/.f64 b_2 a))
	35.7b	(-.f64 (.f64 (/.f64 -1 a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 b_2 a))
	58.9b	(+.f64 (/.f64 (+.f64 b_2 (+.f64 b_2 (.f64 (.f64 a (/.f64 c b_2)) -1/2))) a) (*.f64 (/.f64 b_2 a) -2))
	46.2b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 3) (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) -2) 2))
✓	46.2b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) 2) (.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) -3))
	44.4b	(+.f64 (.f64 (/.f64 b_2 a) -2) (.f64 1/2 (/.f64 c b_2)))
✓	43.8b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
	42.9b	(.f64 (/.f64 (/.f64 c b_2) (neg.f64 a)) (.f64 a 1/2))
✓	43.1b	(.f64 (/.f64 (/.f64 c a) b_2) (.f64 -1/2 a))
	41.1b	(.f64 (/.f64 (.f64 -1/2 (/.f64 a b_2)) a) c)
	42.8b	(.f64 (/.f64 a b_2) (.f64 c (/.f64 -1/2 a)))
	43.0b	(.f64 (/.f64 1 b_2) (.f64 (/.f64 -1/2 a) (*.f64 c a)))
	41.5b	(.f64 (/.f64 1 b_2) (.f64 (*.f64 -1/2 a) (/.f64 c a)))
	39.6b	(.f64 (/.f64 1 b_2) (.f64 -1/2 c))
	44.6b	(.f64 (/.f64 1 a) (-.f64 (+.f64 (.f64 a (neg.f64 (/.f64 c b_2))) (+.f64 (.f64 c (/.f64 a b_2)) (.f64 b_2 -2))) (.f64 (.f64 a -1/2) (/.f64 c b_2))))
	52.8b	(.f64 (/.f64 1 a) (+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 -2 (+.f64 b_2 b_2))) (.f64 2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))))))
	43.1b	(.f64 (/.f64 -1/2 a) (.f64 c (/.f64 a b_2)))
	42.5b	(.f64 (/.f64 -1/2 a) (.f64 a (/.f64 c b_2)))
	46.1b	(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
	43.1b	(.f64 (+.f64 (/.f64 (/.f64 c a) (neg.f64 b_2)) (/.f64 (.f64 (/.f64 c b_2) 2) a)) (*.f64 -1/2 a))
	46.2b	(.f64 (+.f64 (.f64 -3 (/.f64 -1 a)) (.f64 2 (/.f64 -1 a))) (neg.f64 (sqrt.f64 (.f64 a (neg.f64 c)))))
✓	44.4b	(*.f64 b_2 (/.f64 -2 a))
✓	39.5b	(*.f64 -1/2 (/.f64 c b_2))
	52.6b	(neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 c (neg.f64 a)))))
✓	53.2b	(neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))

Compiler

Compiled 681 to 452 computations (33.6% saved)

regimes538.0ms (3.8%)

Counts

57 → 3

Calls

Call 1

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

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

Calls

4 calls:

197.0ms	c
192.0ms	a
74.0ms	b_2
58.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
27.8b	9	`a`
9.3b	3	`b_2`
28.3b	9	`c`
13.6b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 937 to 403 computations (57% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.878282325207698e+113	1.476048859043061e+117
9.0ms	-1.1630844322030525e-90	-8.457831429224584e-91

Results

19.0ms	162×	body	256	valid
3.0ms	29×	body	256	infinite
2.0ms	8×	body	1024	valid
2.0ms	16×	body	256	invalid
1.0ms	5×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 330 to 224 computations (32.1% saved)

regimes686.0ms (4.8%)

Counts

43 → 3

Calls

Call 1

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

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

Calls

4 calls:

329.0ms	a
244.0ms	c
55.0ms	b_2
46.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
27.8b	9	`a`
9.3b	3	`b_2`
28.3b	9	`c`
13.6b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 532 to 249 computations (53.2% saved)

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.878282325207698e+113	1.476048859043061e+117
10.0ms	-1.1630844322030525e-90	-8.457831429224584e-91

Results

22.0ms	165×	body	256	valid
3.0ms	30×	body	256	infinite
1.0ms	5×	body	1024	valid
1.0ms	12×	body	256	invalid
1.0ms	6×	body	512	valid

Compiler

Compiled 308 to 213 computations (30.8% saved)

regimes459.0ms (3.2%)

Counts

41 → 3

Calls

Call 1

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

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

Calls

3 calls:

182.0ms	c
158.0ms	a
70.0ms	b_2

Results

Error	Segments	Branch
34.8b	5	`a`
12.0b	3	`b_2`
31.0b	7	`c`

Compiler

Compiled 489 to 229 computations (53.2% saved)

bsearch101.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
88.0ms	1.0436933268017668e-73	2.1281641034929618e-73
12.0ms	-1.1630844322030525e-90	-8.457831429224584e-91

Results

79.0ms	34×	body	256	invalid
17.0ms	116×	body	256	valid
1.0ms	5×	body	1024	valid
1.0ms	7×	body	512	valid

Compiler

Compiled 236 to 171 computations (27.5% saved)

regimes338.0ms (2.4%)

Counts

39 → 3

Calls

Call 1

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

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

Calls

3 calls:

140.0ms	b_2
110.0ms	c
76.0ms	a

Results

Error	Segments	Branch
35.3b	5	`a`
12.3b	3	`b_2`
31.2b	7	`c`

Compiler

Compiled 467 to 225 computations (51.8% saved)

bsearch86.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
76.0ms	1.0436933268017668e-73	2.1281641034929618e-73
9.0ms	-1.1630844322030525e-90	-8.457831429224584e-91

Results

13.0ms	113×	body	256	valid
3.0ms	27×	body	256	invalid
2.0ms	7×	body	1024	valid
2.0ms	8×	body	512	valid

Compiler

Compiled 220 to 163 computations (25.9% saved)

regimes573.0ms (4%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

3 calls:

341.0ms	c
117.0ms	b_2
105.0ms	a

Results

Error	Segments	Branch
36.4b	3	`a`
17.5b	3	`b_2`
33.6b	6	`c`

Compiler

Compiled 430 to 214 computations (50.2% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	4.006775987185356e-179	4.825868129972902e-178
28.0ms	-6.466014071329046e-203	-8.76888713191611e-211

Results

30.0ms	239×	body	256	valid
9.0ms	83×	body	256	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 343 to 264 computations (23% saved)

regimes347.0ms (2.4%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

3 calls:

161.0ms	c
87.0ms	a
32.0ms	b_2

Results

Error	Segments	Branch
38.4b	2	`a`
21.3b	2	`b_2`
35.6b	5	`c`

Compiler

Compiled 424 to 211 computations (50.2% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	-1.629936562742469e-306	8.227404024625361e-303

Results

18.0ms	144×	body	256	valid
7.0ms	66×	body	256	invalid

Compiler

Compiled 238 to 177 computations (25.6% saved)

regimes175.0ms (1.2%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	c
30.0ms	a
22.0ms	b_2

Results

Error	Segments	Branch
38.4b	2	`a`
21.4b	2	`b_2`
35.6b	5	`c`

Compiler

Compiled 193 to 107 computations (44.6% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	-2.6109970045386442e-248	-1.0222068098050174e-254

Results

16.0ms	144×	body	256	valid
8.0ms	66×	body	256	invalid

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes34.0ms (0.2%)

Accuracy

Total -41.0b remaining (-190.3%)

Threshold costs -41.0b (-190.3%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	c
9.0ms	a
6.0ms	b_2

Results

Error	Segments	Branch
38.5b	2	`a`
21.5b	2	`b_2`
35.6b	5	`c`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	-2.6109970045386442e-248	-1.0222068098050174e-254

Results

16.0ms	144×	body	256	valid
7.0ms	56×	body	256	invalid

Compiler

Compiled 184 to 141 computations (23.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	569

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -1318761704194291/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 1249999999999999958206249867909219897905189386857928561823469160528594006534367649602547759811283459336888894439292928) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a)) (/.f64 (.f64 b_2 -2) a)))
(if (<=.f64 b_2 -1318761704194291/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 214999999999999998970773018269347401472658846102785477468161813006204390098881263382065860432983354803357996340477952) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 b_2 -2) a)))
(if (<=.f64 b_2 -1318761704194291/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 8402773402379755/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 (/.f64 b_2 a) -2) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -1318761704194291/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 1941549914943807/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (/.f64 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 (/.f64 b_2 a) -2) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -5648027917416435/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 8759885985834615/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))) (+.f64 (.f64 (/.f64 b_2 a) -2) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 -1/2 (/.f64 c b_2)) (+.f64 (.f64 (/.f64 b_2 a) -2) (*.f64 1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -428247786965671/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568) (.f64 -1/2 (/.f64 c b_2)) (/.f64 (.f64 b_2 -2) a))
(if (<=.f64 b_2 -8770514677056943/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (.f64 -1/2 (/.f64 c b_2)) (.f64 b_2 (/.f64 -2 a)))
(*.f64 -1/2 (/.f64 c b_2))

Outputs
(if (<=.f64 b_2 -1318761704194291/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 1249999999999999958206249867909219897905189386857928561823469160528594006534367649602547759811283459336888894439292928) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a)) (/.f64 (.f64 b_2 -2) a)))
(if (<=.f64 b_2 -1318761704194291/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 214999999999999998970773018269347401472658846102785477468161813006204390098881263382065860432983354803357996340477952) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 b_2 -2) a)))
(if (<=.f64 b_2 -1318761704194291/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 8402773402379755/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 (/.f64 b_2 a) -2) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -1318761704194291/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 1941549914943807/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792) (/.f64 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) a) (+.f64 (.f64 (/.f64 b_2 a) -2) (.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -5648027917416435/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (.f64 -1/2 (/.f64 c b_2)) (if (<=.f64 b_2 8759885985834615/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))) (+.f64 (.f64 (/.f64 b_2 a) -2) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 -1/2 (/.f64 c b_2)) (+.f64 (.f64 (/.f64 b_2 a) -2) (*.f64 1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -428247786965671/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568) (.f64 -1/2 (/.f64 c b_2)) (/.f64 (.f64 b_2 -2) a))
(if (<=.f64 b_2 -8770514677056943/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (.f64 -1/2 (/.f64 c b_2)) (.f64 b_2 (/.f64 -2 a)))
(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 240 to 159 computations (33.8% saved)

soundness337.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational_best-simplify-2`
966×	`rational_best-simplify-1`
840×	`rational_best-simplify-60`
768×	`rational_best-simplify-56`
676×	`rational_best-simplify-55`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	307	8027
1	574	8001
2	932	7933
3	1639	7933
4	3239	7921
5	4888	7921
6	6084	7915

Stop Event

1×	node limit

Compiler

Compiled 13 to 9 computations (30.8% saved)

end91.0ms (0.6%)

Compiler: Compiled 216 to 113 computations (47.7% saved)