Details

analyze304.0ms (1.6%)

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 (9.1%)

Results

638.0ms	5518×	body	256	valid
420.0ms	1184×	body	2048	valid
216.0ms	403×	body	4096	valid
208.0ms	757×	body	1024	valid
127.0ms	1188×	body	256	invalid
79.0ms	394×	body	512	valid
38.0ms	339×	body	256	infinite

Bogosity

preprocess238.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1384×	`rational.json-simplify-2`
1110×	`rational.json-simplify-51`
1026×	`rational.json-simplify-1`
952×	`rational.json-simplify-46`
906×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	65	156
2	107	156
3	224	156
4	840	156
5	4779	156
6	7891	156
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

simplify139.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1832×	`rational.json-simplify-35`
1572×	`rational.json-simplify-51`
1348×	`rational.json-simplify-53`
1020×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	24	39
2	40	39
3	81	39
4	292	39
5	2259	39
6	6283	39

Stop Event

1×	node limit

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

37.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.5b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.7b	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	25.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	b_2	@	inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`rational.json-1`
1874×	`rational.json-2`
1874×	`rational.json-4`
1874×	`rational.json-3`
1096×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	90	114
2	218	114
3	578	114
4	1955	114
5	6206	114

Stop Event

1×	node limit

Counts

4 → 87

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 0 (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 (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 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) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.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) 2)))) (#(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 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 4))) 16)))) (#(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 -.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.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 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 1 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.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 b_2) (neg.f64 (.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 -1 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a c) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 a c) 1)) -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 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 2 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2) 1/2)))) (#(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 1/2 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2) 2)))) (#(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 (.f64 b_2 b_2) (.f64 a c)) 2) 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 (.f64 b_2 b_2) (.f64 a c)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 a c) (.f64 b_2 b_2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 4)) (.f64 2 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 4))) 16)))) (#(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 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (+.f64 a a)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) (.f64 (/.f64 1 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (/.f64 2 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4) (/.f64 1 (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (/.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 a) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 a) 1/2) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (neg.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (+.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 a 4)) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 a) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (neg.f64 a)))))))

simplify185.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1694×	`rational.json-simplify-35`
1514×	`rational.json-simplify-51`
998×	`rational.json-simplify-2`
970×	`rational.json-simplify-61`
952×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	316	7389
1	721	7347
2	1648	7291
3	3494	7279
4	7383	7279

Stop Event

1×	node limit

Counts

183 → 249

Calls

Call 1

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

eval96.0ms (0.5%)

Compiler: Compiled 6690 to 3740 computations (44.1% saved)

prune293.0ms (1.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	235	14	249
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	235	15	250

Error

3.7b

Counts

250 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.4b	(/.f64 (+.f64 (.f64 1/2 (.f64 c (/.f64 a b_2))) (*.f64 b_2 -2)) a)
	50.4b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
	45.1b	(/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a)
✓	37.5b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	55.8b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	49.1b	(/.f64 (*.f64 b_2 -2) a)
▶	43.5b	(/.f64 (.f64 a (.f64 -1/2 (/.f64 c b_2))) a)
	45.5b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	45.1b	(/.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))) a)
	49.2b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	53.4b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
▶	37.5b	(.f64 (/.f64 1 a) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))
	38.5b	(*.f64 -1/2 (/.f64 c b_2))
▶	49.1b	(*.f64 -2 (/.f64 b_2 a))
	51.9b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 350 to 242 computations (30.9% saved)

localize1.1s (5.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 a) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.7b	(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))
	25.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 59 to 15 computations (74.6% saved)

series4.0ms (0%)

Counts

2 → 40

Calls

18 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`rational.json-1`
1612×	`rational.json-2`
1612×	`rational.json-4`
1612×	`rational.json-3`
1602×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	112	72
2	245	72
3	561	72
4	1806	72
5	5512	72

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 1 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (+.f64 a a)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 a (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (/.f64 2 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 2 (.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 a 4) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (.f64 2 (.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))) (.f64 2 (.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (/.f64 (.f64 a 4) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))) (/.f64 (.f64 a 4) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))) (.f64 2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4)) (.f64 2 (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4) a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (+.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2)) (neg.f64 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 4)) (.f64 2 (.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) a) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))) (.f64 2 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))) (.f64 2 (.f64 2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4) a) (/.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4) a)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2)) (neg.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2))) (.f64 2 (neg.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 4)) (neg.f64 (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))) (-.f64 0 (.f64 2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2))) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) 2))) (-.f64 0 (neg.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 1 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4)) (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) (+.f64 a a)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 a (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) (/.f64 2 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 a 4) (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (*.f64 2 (*.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))) (*.f64 2 (*.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (/.f64 (*.f64 a 4) (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))) (/.f64 (*.f64 a 4) (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))) (*.f64 2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4)) (*.f64 2 (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4) a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) (+.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2)) (neg.f64 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a) 4)) (*.f64 2 (*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))) (*.f64 2 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))) (*.f64 2 (*.f64 2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4) a) (/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4) a)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2)) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2))) (*.f64 2 (neg.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 4)) (neg.f64 (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))) (-.f64 0 (*.f64 2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2))) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 2))) (-.f64 0 (neg.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a) 1)))))

simplify199.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational.json-simplify-51`
1188×	`rational.json-simplify-41`
1008×	`rational.json-simplify-44`
876×	`rational.json-simplify-35`
824×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	4899
1	694	4849
2	1703	4793
3	5249	4781

Stop Event

1×	node limit

Counts

91 → 167

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational.json-1`
1252×	`rational.json-2`
1252×	`rational.json-4`
1252×	`rational.json-3`
1244×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	123	13
3	305	13
4	804	13
5	3371	13

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 b_2 (/.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (/.f64 b_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 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b_2 a) -4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b_2 a) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (/.f64 b_2 a)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 a (neg.f64 b_2))) (*.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 -2 (/.f64 b_2 a)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 b_2 (/.f64 2 a)))))))

simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1824×	`rational.json-simplify-53`
1432×	`rational.json-simplify-61`
964×	`rational.json-simplify-44`
878×	`rational.json-simplify-49`
862×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	195
1	106	195
2	256	195
3	932	195
4	5668	195

Stop Event

1×	node limit

Counts

15 → 16

Calls

Call 1

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

Outputs
(+.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(+.f64 0 (*.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 -1 (-.f64 1 (*.f64 b_2 (/.f64 2 a))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (*.f64 -2 (/.f64 b_2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(-.f64 0 (*.f64 b_2 (/.f64 2 a)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 (/.f64 2 a)) -1)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 (/.f64 b_2 a) -4) 2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 (/.f64 b_2 a) -8) 4)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 (.f64 -2 (/.f64 b_2 a)) 8) 8)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (/.f64 a (neg.f64 b_2))) (.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (.f64 (*.f64 -2 (/.f64 b_2 a)) 8)) 16)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(neg.f64 (*.f64 b_2 (/.f64 2 a)))
(*.f64 -2 (/.f64 b_2 a))

localize6.0ms (0%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.1b	(.f64 a (.f64 -1/2 (/.f64 c b_2)))
✓	11.2b	(/.f64 (.f64 a (.f64 -1/2 (/.f64 c b_2))) a)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite240.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`rational.json-simplify-35`
996×	`exponential.json-3`
996×	`rational.json-1`
996×	`rational.json-2`
996×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	74	44
2	215	32
3	647	32
4	2557	32
5	7978	32

Stop Event

1×	node limit

Counts

2 → 257

Calls

Call 1

Inputs
(/.f64 (.f64 a (.f64 -1/2 (/.f64 c b_2))) a)
(.f64 a (.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 (*.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 (/.f64 0 a) (/.f64 0 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 (/.f64 c b_2) -1/4) (*.f64 (/.f64 c b_2) -1/4))))) (#(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 (/.f64 0 a) (/.f64 0 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 a (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 -1/2 (/.f64 1 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 (/.f64 -1/2 a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) (*.f64 a (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) (*.f64 (*.f64 a -1/2) (/.f64 1 a)))))) (#(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 (/.f64 1 (/.f64 1 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 (/.f64 2 (/.f64 1 a)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 -1/2 (/.f64 c b_2))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (neg.f64 (/.f64 c b_2))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (neg.f64 (/.f64 c b_2))) (*.f64 (/.f64 1 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (neg.f64 (/.f64 c b_2))) (*.f64 (*.f64 (/.f64 1 a) (/.f64 1/2 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (/.f64 (*.f64 (/.f64 c b_2) -1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (*.f64 -1/2 (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 c b_2)) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 c b_2)) (*.f64 -1/2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 c b_2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) -2) (/.f64 1 a)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (neg.f64 (neg.f64 (*.f64 a (neg.f64 (/.f64 c b_2))))) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 c b_2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 c b_2)) (*.f64 (/.f64 1 a) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 c b_2)) (/.f64 (/.f64 1 (/.f64 1 a)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 c b_2)) (/.f64 (/.f64 2 (/.f64 1 a)) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 (/.f64 c b_2) -2)) (/.f64 -1 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 4) (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) 2) (*.f64 (/.f64 -1/2 (+.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -1/2) (/.f64 c (*.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -1/2) (/.f64 (/.f64 (*.f64 a (*.f64 (/.f64 c b_2) -2)) a) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 a (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 a) (*.f64 a (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (*.f64 -1/2 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 (/.f64 c b_2) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 (/.f64 (*.f64 a (/.f64 c b_2)) (+.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (/.f64 c b_2)) 1/2) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 a (/.f64 c b_2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 c b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (/.f64 c b_2) (+.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 (/.f64 c b_2) 2)) (/.f64 -1/2 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 (/.f64 c b_2) 2)) (*.f64 (/.f64 (/.f64 -1/2 a) (+.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 1 b_2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (/.f64 c b_2)) a) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 a b_2)) (*.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 a b_2)) (/.f64 -1/2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) (/.f64 (neg.f64 (/.f64 c b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) (/.f64 (/.f64 (*.f64 a (*.f64 (/.f64 c b_2) -2)) a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) -1/4) (/.f64 (/.f64 2 (/.f64 1 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 a (/.f64 c b_2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 a (neg.f64 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 c b_2) -1/4) a) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -2) (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -2) (/.f64 (*.f64 (/.f64 c b_2) -1/4) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -2) (/.f64 (/.f64 (*.f64 a (/.f64 c b_2)) (+.f64 a a)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 a) (/.f64 a (/.f64 4 (neg.f64 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 a) (*.f64 (*.f64 (/.f64 c b_2) -1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -4) (/.f64 (/.f64 (*.f64 a (/.f64 c b_2)) (+.f64 a a)) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -1/2 a)) (*.f64 (/.f64 (*.f64 a (/.f64 c b_2)) (+.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (neg.f64 a)) (/.f64 (*.f64 a (/.f64 c b_2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (neg.f64 a)) (/.f64 (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) -2) (/.f64 1 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (neg.f64 a)) (/.f64 (neg.f64 (*.f64 a (*.f64 (/.f64 c b_2) -2))) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a a) (/.f64 c (*.f64 a b_2))) (/.f64 (neg.f64 a) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a a) (*.f64 a (/.f64 c b_2))) (/.f64 (/.f64 -1/2 a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 1 a)) (*.f64 a (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 -1/2 a)) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 -1/2 a)) (/.f64 (neg.f64 (*.f64 a (*.f64 (/.f64 c b_2) -2))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 1/2 b_2)) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 c) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a -1/2) (/.f64 1 a)) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) 1/2) (*.f64 a (neg.f64 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (*.f64 a 1/2)) (neg.f64 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 a) (/.f64 a b_2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 a (/.f64 c b_2))) (/.f64 (/.f64 -1/2 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (/.f64 c b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (*.f64 (/.f64 c b_2) -2)) a) (/.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a) a) (/.f64 a (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (/.f64 c b_2)) (+.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (/.f64 c b_2)) (+.f64 a a)) (/.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 c b_2) -2) a) (/.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (neg.f64 (/.f64 c b_2)) (*.f64 a 4)) a) (/.f64 a (*.f64 (+.f64 a a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) a) a) (/.f64 a (/.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a 4) a) (/.f64 (*.f64 a (*.f64 -1/2 (/.f64 c b_2))) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 a)) (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a 4) (/.f64 b_2 c)) (/.f64 -1/2 (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (/.f64 c b_2) -1/4) a) a) (/.f64 a (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (*.f64 -1/2 (/.f64 c b_2))) (*.f64 a -2)) (/.f64 a (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a) (*.f64 a 4)) (/.f64 (+.f64 a a) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 a) (*.f64 (*.f64 a (/.f64 c b_2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a 4) (neg.f64 a)) (/.f64 (*.f64 (*.f64 a (/.f64 c b_2)) 1/2) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a 4) (neg.f64 a)) (/.f64 (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) -2) (/.f64 1 a)) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 -1/2 (/.f64 c b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (*.f64 a (/.f64 c b_2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (*.f64 a (/.f64 c b_2)) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 -1/2 (/.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 a (/.f64 (/.f64 b_2 c) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (*.f64 (/.f64 1 a) (/.f64 (*.f64 a -4) (/.f64 c b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (/.f64 4 (neg.f64 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 c b_2)) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 (/.f64 c b_2) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 4) (*.f64 2 (/.f64 4 (neg.f64 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1/2) (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (neg.f64 (/.f64 (/.f64 b_2 c) -1/2)))))) (#(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 (*.f64 (/.f64 c b_2) -2) (*.f64 2 (/.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 c b_2)) (*.f64 a 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a (neg.f64 (/.f64 c b_2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/2) (/.f64 a (*.f64 a (neg.f64 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/2) (/.f64 (/.f64 (/.f64 b_2 c) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/2) (/.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c b_2) -1/4) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 c b_2)) -2) (neg.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -2) (-.f64 0 (/.f64 4 (neg.f64 (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (/.f64 c b_2)) (*.f64 a 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 a) -2) (neg.f64 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 c b_2))) (-.f64 0 (/.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a (/.f64 c b_2)) 1/2))))))

simplify375.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1700×	`rational.json-simplify-44`
1550×	`rational.json-simplify-47`
1264×	`rational.json-simplify-49`
988×	`rational.json-simplify-61`
878×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	589	10949
1	1899	10163
2	7863	9895

Stop Event

1×	node limit

Counts

329 → 569

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 c (/.f64 a b_2)))
✓	3.2b	(*.f64 c (/.f64 a b_2))
✓	5.7b	(/.f64 (+.f64 (.f64 1/2 (.f64 c (/.f64 a b_2))) (*.f64 b_2 -2)) a)

Compiler

Compiled 50 to 22 computations (56% saved)

series5.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`rational.json-1`
1412×	`rational.json-2`
1412×	`rational.json-4`
1412×	`rational.json-3`
1400×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	91	69
2	220	69
3	576	69
4	1576	69
5	4542	69

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (/.f64 a b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) (*.f64 1/2 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 c (/.f64 a b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (-.f64 0 (/.f64 b_2 (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b_2) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 (/.f64 b_2 (/.f64 a 2)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b_2 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (/.f64 (+.f64 b_2 b_2) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (*.f64 2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 b_2 (/.f64 a 2)) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 (/.f64 b_2 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 (/.f64 a b_2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 4) (*.f64 2 (/.f64 (+.f64 b_2 b_2) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b_2) 2) (/.f64 2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b_2) 2) (*.f64 2 (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (/.f64 b_2 (/.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) (/.f64 b_2 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (/.f64 b_2 (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (-.f64 0 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (/.f64 b_2 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 (/.f64 b_2 (/.f64 a 2)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a b_2) 4) (*.f64 2 (/.f64 2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 4) (*.f64 2 (/.f64 b_2 (/.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 4) (*.f64 (/.f64 b_2 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 (/.f64 a b_2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -2) (*.f64 2 (/.f64 b_2 (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -2) (-.f64 0 (/.f64 (+.f64 b_2 b_2) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c (*.f64 (/.f64 a b_2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c 4)) (*.f64 2 (*.f64 (/.f64 b_2 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 1/2 b_2)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 c b_2)) (*.f64 2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c 4) (/.f64 b_2 a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 a b_2)) (-.f64 0 (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 c (*.f64 (/.f64 a b_2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 c 4) (/.f64 b_2 a))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 c)) (*.f64 2 (neg.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c 1/2) (/.f64 b_2 (/.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (/.f64 1 a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (neg.f64 b_2)) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 c c) b_2) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 c c)) (neg.f64 (/.f64 b_2 (/.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 c b_2)) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 c)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 c)) (-.f64 0 (neg.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 a b_2) 2)) (-.f64 0 (/.f64 2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c 4)) (-.f64 0 (*.f64 2 (/.f64 b_2 (/.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c 4)) (-.f64 0 (*.f64 (/.f64 b_2 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (-.f64 0 (/.f64 b_2 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c (/.f64 1/2 b_2))) (neg.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 c b_2))) (-.f64 0 (*.f64 2 (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 c 1/2)) (neg.f64 (/.f64 b_2 (/.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 c (/.f64 1 a))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 c (neg.f64 b_2))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 c c) b_2)) (-.f64 0 (/.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 c c))) (/.f64 b_2 (/.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 c b_2))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a b_2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 1/2 (*.f64 c (/.f64 a b_2)))) (*.f64 1/2 (*.f64 1/2 (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c (/.f64 a b_2)) 4) (/.f64 (*.f64 c (/.f64 a b_2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b_2 (/.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 a b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 (/.f64 a b_2) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (*.f64 2 (/.f64 b_2 (/.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 (/.f64 a b_2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c (*.f64 (/.f64 a b_2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 1/2 b_2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (*.f64 b_2 4)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c 4) (/.f64 (/.f64 b_2 (/.f64 a 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (neg.f64 (/.f64 b_2 (/.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1/2) (/.f64 b_2 (/.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 2) (/.f64 b_2 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (/.f64 1 a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (neg.f64 b_2)) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 c c)) (-.f64 0 (*.f64 2 (/.f64 b_2 (/.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c (/.f64 1/2 b_2))) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 c (*.f64 b_2 4))) (neg.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 1/2 c) 1/2)) (neg.f64 (/.f64 b_2 (/.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 1/2 c) 2)) (-.f64 0 (/.f64 b_2 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 1/2 c) (/.f64 1 a))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 1/2 c) (neg.f64 b_2))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 1/2 c))) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 1/2 c))) (-.f64 0 (neg.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) 1)))))

simplify153.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-46`
978×	`rational.json-simplify-1`
848×	`rational.json-simplify-35`
836×	`rational.json-simplify-50`
822×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	4804
1	897	4804
2	2646	4720
3	5003	4720
4	7277	4720

Stop Event

1×	node limit

Counts

232 → 151

Calls

Call 1

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

Outputs
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.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 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.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 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.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 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 a c) b_2)
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) a)) 0)
(.f64 1/2 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) a))
(.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 a c) b_2) (*.f64 b_2 -4)) a))
(+.f64 0 (.f64 1/2 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) a)))
(.f64 1/2 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) a))
(.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 a c) b_2) (*.f64 b_2 -4)) a))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (.f64 b_2 -4)) (*.f64 a -2))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (.f64 b_2 -4)) (*.f64 -2 a))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (/.f64 (.f64 a c) b_2) (.f64 b_2 -4)) (*.f64 -2 a))))
(/.f64 (/.f64 (+.f64 (/.f64 (.f64 a c) b_2) (.f64 b_2 -4)) a) 2)
(+.f64 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (.f64 b_2 -4)) (.f64 a 4)) (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (.f64 b_2 -4)) (.f64 a 4)))
(+.f64 (/.f64 (+.f64 (/.f64 (.f64 a c) b_2) (.f64 b_2 -4)) (.f64 a 4)) (/.f64 (+.f64 (/.f64 (.f64 a c) b_2) (.f64 b_2 -4)) (.f64 a 4)))
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) a)) 0)
(.f64 1/2 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) a))
(.f64 1/2 (/.f64 (+.f64 (/.f64 (.f64 a c) b_2) (*.f64 b_2 -4)) a))
(-.f64 0 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (.f64 b_2 -4)) (*.f64 a -2)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 c (/.f64 a b_2)) (.f64 b_2 -4)) (*.f64 -2 a))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (/.f64 (.f64 a c) b_2) (.f64 b_2 -4)) (*.f64 -2 a))))
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(/.f64 (neg.f64 (/.f64 c (*.f64 b_2 4))) (neg.f64 (/.f64 1/2 a)))
(/.f64 a (/.f64 1/2 (/.f64 c (*.f64 b_2 4))))
(/.f64 (neg.f64 (/.f64 (*.f64 1/2 c) 1/2)) (neg.f64 (/.f64 b_2 (/.f64 a 2))))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(/.f64 (neg.f64 (/.f64 (*.f64 1/2 c) 2)) (-.f64 0 (/.f64 b_2 (+.f64 a a))))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(/.f64 (neg.f64 (/.f64 (*.f64 1/2 c) (/.f64 1 a))) (neg.f64 b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(/.f64 (neg.f64 (/.f64 (*.f64 1/2 c) (neg.f64 b_2))) (/.f64 1 a))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/2 c))) (/.f64 b_2 a))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/2 c))) (-.f64 0 (neg.f64 (/.f64 b_2 a))))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(pow.f64 (.f64 1/2 (.f64 c (/.f64 a b_2))) 1)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 a (.f64 c (/.f64 1/2 b_2)))

eval284.0ms (1.5%)

Compiler: Compiled 18411 to 9802 computations (46.8% saved)

prune674.0ms (3.5%)

Pruning

49 alts after pruning (44 fresh and 5 done)

	Pruned	Kept	Total
New	954	40	994
Fresh	5	4	9
Picked	1	0	1
Done	0	5	5
Total	960	49	1009

Error

3.7b

Counts

1009 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	50.1b	(/.f64 (/.f64 (/.f64 c b_2) (.f64 a 2)) (.f64 a (/.f64 (/.f64 -1 a) a)))
▶	43.6b	(/.f64 (/.f64 (/.f64 a -2) (/.f64 b_2 c)) a)
	51.3b	(/.f64 (/.f64 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)) a) (/.f64 1 (.f64 a a)))
	43.6b	(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 2 a)) a)
	52.0b	(/.f64 (/.f64 a (/.f64 (/.f64 (/.f64 b_2 c) 1/2) a)) (*.f64 a (neg.f64 a)))
	44.0b	(/.f64 (/.f64 2 a) (/.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) a))
	55.6b	(/.f64 (/.f64 1 (.f64 (/.f64 c b_2) (neg.f64 a))) (.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) (/.f64 (/.f64 (/.f64 b_2 a) -2) c)))
	54.4b	(/.f64 (/.f64 -2 (.f64 (/.f64 c b_2) (neg.f64 a))) (.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a 1))))
	55.3b	(/.f64 (/.f64 -2 a) (.f64 (/.f64 c (neg.f64 b_2)) (.f64 (/.f64 -4 (/.f64 c b_2)) (/.f64 b_2 (*.f64 c a)))))
	49.4b	(/.f64 (+.f64 (/.f64 (/.f64 c (.f64 b_2 4)) (/.f64 1/2 a)) (.f64 b_2 -2)) a)
	49.4b	(/.f64 (+.f64 (/.f64 (.f64 1/2 c) (/.f64 b_2 a)) (.f64 b_2 -2)) a)
▶	49.4b	(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) (*.f64 b_2 -2)) a)
	45.1b	(/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a)
✓	37.5b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	55.8b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	49.1b	(/.f64 (*.f64 b_2 -2) a)
✓	43.5b	(/.f64 (.f64 a (.f64 -1/2 (/.f64 c b_2))) a)
	55.5b	(/.f64 (.f64 2 (/.f64 a (neg.f64 b_2))) (.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))))
	45.3b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	37.5b	(/.f64 2 (.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))
▶	37.5b	(/.f64 1 (/.f64 a (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))
	49.2b	(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
	53.4b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
	53.4b	(.f64 (/.f64 (/.f64 (neg.f64 a) (/.f64 b_2 c)) (/.f64 (/.f64 b_2 c) -1/2)) (/.f64 b_2 (.f64 c (neg.f64 a))))
	38.8b	(.f64 (/.f64 (/.f64 a (neg.f64 a)) (/.f64 b_2 c)) (.f64 a (/.f64 1/2 a)))
	45.5b	(.f64 (/.f64 (.f64 c a) b_2) (*.f64 1/2 (/.f64 -1 a)))
	55.5b	(.f64 (/.f64 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -4 (/.f64 c b_2))) (/.f64 (/.f64 -4 (/.f64 c b_2)) a))
	38.5b	(.f64 (/.f64 c b_2) (.f64 a (/.f64 -1/2 a)))
	38.5b	(*.f64 (/.f64 c b_2) -1/2)
	51.9b	(.f64 (/.f64 a (/.f64 -2 a)) (/.f64 (/.f64 c (.f64 b_2 a)) a))
✓	37.5b	(.f64 (/.f64 1 a) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))
	44.6b	(.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
	50.5b	(.f64 (+.f64 (/.f64 (.f64 a c) b_2) (*.f64 b_2 -4)) (/.f64 1/2 a))
	42.2b	(.f64 (.f64 (/.f64 -1/2 a) (/.f64 a b_2)) c)
	53.3b	(.f64 (.f64 (/.f64 -1/2 a) (/.f64 1 a)) (/.f64 c (/.f64 (/.f64 b_2 a) a)))
	43.6b	(.f64 (.f64 a (/.f64 4 (/.f64 b_2 c))) (/.f64 -1/8 a))
	43.6b	(.f64 (.f64 a (.f64 (/.f64 c b_2) -4)) (.f64 (/.f64 -1 a) (*.f64 a (/.f64 -1/8 a))))
	52.1b	(.f64 (.f64 a (*.f64 a (/.f64 c b_2))) (/.f64 (/.f64 -1/2 a) a))
	56.2b	(*.f64 c (/.f64 1/2 b_2))
	38.5b	(*.f64 c (neg.f64 (/.f64 1/2 b_2)))
	41.7b	(.f64 a (.f64 (/.f64 c b_2) (/.f64 -1/2 a)))
▶	41.7b	(.f64 a (.f64 (/.f64 -1/2 a) (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) a) (/.f64 -1 a))))
	44.0b	(.f64 a (.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 c (+.f64 a a))))
	49.0b	(.f64 a (.f64 -4 (.f64 (/.f64 c b_2) (/.f64 a (.f64 a (*.f64 a 8))))))
	41.8b	(.f64 2 (/.f64 a (.f64 (/.f64 -2 (/.f64 c (neg.f64 b_2))) (*.f64 a -2))))
▶	56.2b	(*.f64 1/2 (/.f64 c b_2))
✓	49.1b	(*.f64 -2 (/.f64 b_2 a))
	51.9b	(sqrt.f64 (neg.f64 (/.f64 c a)))
	49.1b	(neg.f64 (*.f64 b_2 (/.f64 2 a)))

Compiler

Compiled 1421 to 958 computations (32.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 a (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	1.7b	(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))
	25.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite153.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`rational.json-1`
1894×	`rational.json-2`
1894×	`rational.json-3`
1352×	`rational.json-simplify-35`
932×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	115	39
2	278	39
3	707	39
4	2352	39
5	6857	39

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify401.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational.json-simplify-2`
1216×	`rational.json-simplify-51`
876×	`rational.json-simplify-1`
852×	`rational.json-simplify-35`
540×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2682
1	384	2658
2	758	2626
3	1615	2620
4	4012	2620
5	7114	2620

Stop Event

1×	node limit

Counts

50 → 95

Calls

Call 1

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

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

localize80.0ms (0.4%)

Compiler: Compiled 14 to 7 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.1b	(/.f64 (/.f64 a -2) (/.f64 b_2 c))
✓	11.2b	(/.f64 (/.f64 (/.f64 a -2) (/.f64 b_2 c)) a)

Compiler

Compiled 29 to 14 computations (51.7% saved)

series1.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`rational.json-1`
1560×	`rational.json-2`
1560×	`rational.json-4`
1560×	`rational.json-3`
1558×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	84	44
2	346	44
3	1719	32
4	5629	32

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

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

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1032×	`rational.json-simplify-43`
1026×	`rational.json-simplify-51`
1016×	`rational.json-simplify-35`
870×	`rational.json-simplify-61`
804×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	176	3176
1	414	2936
2	946	2936
3	2427	2936
4	5222	2936

Stop Event

1×	node limit

Counts

158 → 92

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))
(+.f64 0 (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(-.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (.f64 (/.f64 1 (.f64 a (.f64 -2 (/.f64 b_2 c)))) 1))
(.f64 a (.f64 (/.f64 (/.f64 c b_2) a) -1/2))
(.f64 a (.f64 (/.f64 1 a) (*.f64 -1/2 (/.f64 c b_2))))
(.f64 a (.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 1 a)))
(.f64 a (.f64 -1/2 (/.f64 (/.f64 c b_2) a)))
(.f64 a (.f64 (/.f64 2 (*.f64 a -4)) (/.f64 c b_2)))
(.f64 (.f64 a -1/2) (/.f64 (/.f64 c b_2) a))
(.f64 (.f64 a -1/2) (*.f64 (/.f64 c b_2) (/.f64 1 a)))
(.f64 (.f64 a -1/2) (*.f64 (/.f64 1 a) (/.f64 c b_2)))
(.f64 c (/.f64 2 (.f64 b_2 -4)))
(.f64 c (.f64 (/.f64 1 b_2) -1/2))
(.f64 c (.f64 (/.f64 2 (*.f64 b_2 -4)) 1))
(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 1 a)))
(.f64 c (.f64 (/.f64 1 a) (*.f64 -1/2 (/.f64 a b_2))))
(.f64 (.f64 (*.f64 a -1/2) (/.f64 c b_2)) (/.f64 1 a))
(.f64 1 (.f64 -1/2 (/.f64 c b_2)))
(.f64 (neg.f64 a) (/.f64 1 (.f64 a (*.f64 (/.f64 b_2 c) 2))))
(.f64 (neg.f64 a) (.f64 (/.f64 1 (.f64 a (.f64 (/.f64 b_2 c) 2))) 1))
(.f64 (neg.f64 a) (.f64 (/.f64 1 (*.f64 (/.f64 b_2 c) 2)) (/.f64 1 a)))
(.f64 (neg.f64 a) (.f64 1/2 (/.f64 (/.f64 c b_2) a)))
(.f64 (neg.f64 a) (.f64 (/.f64 1 (+.f64 a a)) (/.f64 c b_2)))
(.f64 (+.f64 c c) (/.f64 1 (.f64 b_2 -4)))
(.f64 (+.f64 c c) (.f64 (/.f64 1 (*.f64 b_2 -4)) 1))
(.f64 (+.f64 c c) (.f64 (/.f64 1 (/.f64 -4 (/.f64 a b_2))) (/.f64 1 a)))
(.f64 (+.f64 a a) (/.f64 1 (.f64 (/.f64 b_2 c) (*.f64 a -4))))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (.f64 (/.f64 b_2 c) (.f64 a -4))) 1))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (*.f64 (/.f64 b_2 c) -4)) (/.f64 1 a)))
(.f64 (+.f64 a a) (.f64 -1/4 (/.f64 (/.f64 c b_2) a)))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (*.f64 a -4)) (/.f64 c b_2)))
(.f64 (.f64 (/.f64 c b_2) (neg.f64 a)) (/.f64 1 (+.f64 a a)))
(.f64 (.f64 (/.f64 c b_2) (neg.f64 a)) (*.f64 (/.f64 1 (+.f64 a a)) 1))
(.f64 (.f64 (/.f64 c b_2) (neg.f64 a)) (*.f64 1/2 (/.f64 1 a)))
(.f64 (.f64 a (/.f64 c b_2)) (/.f64 2 (*.f64 a -4)))
(.f64 (.f64 a (/.f64 c b_2)) (.f64 (/.f64 2 (.f64 a -4)) 1))
(.f64 (.f64 a (/.f64 c b_2)) (*.f64 (/.f64 1 a) -1/2))
(.f64 (.f64 a (/.f64 c b_2)) (*.f64 -1/2 (/.f64 1 a)))
(.f64 (/.f64 c a) (.f64 -1/2 (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 -1/2 (/.f64 c b_2)) 1)
(.f64 (/.f64 1 a) (.f64 (*.f64 a -1/2) (/.f64 c b_2)))
(.f64 (/.f64 (/.f64 c b_2) a) (.f64 a -1/2))
(*.f64 (/.f64 c b_2) -1/2)
(.f64 (.f64 -1/2 (/.f64 a b_2)) (/.f64 c a))
(.f64 (/.f64 2 (.f64 a -4)) (*.f64 a (/.f64 c b_2)))
(.f64 (/.f64 1 (+.f64 a a)) (.f64 (/.f64 c b_2) (neg.f64 a)))
(.f64 (/.f64 2 (.f64 b_2 -4)) c)
(.f64 (/.f64 1 (.f64 a (*.f64 (/.f64 b_2 c) 2))) (neg.f64 a))
(.f64 (/.f64 1 (.f64 b_2 -4)) (+.f64 c c))
(.f64 (/.f64 1 (.f64 (/.f64 b_2 c) (*.f64 a -4))) (+.f64 a a))
(.f64 (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))) a)
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(+.f64 (.f64 (.f64 a -1/2) (/.f64 c b_2)) 0)
(+.f64 0 (.f64 (.f64 a -1/2) (/.f64 c b_2)))
(-.f64 (.f64 (.f64 a -1/2) (/.f64 c b_2)) 0)
(.f64 a (.f64 -1/2 (/.f64 c b_2)))
(.f64 (.f64 a -1/2) (/.f64 c b_2))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (.f64 (*.f64 a -1/2) (/.f64 c b_2)) 1)
(.f64 1 (.f64 (*.f64 a -1/2) (/.f64 c b_2)))
(.f64 (neg.f64 a) (/.f64 1 (.f64 (/.f64 b_2 c) 2)))
(.f64 (neg.f64 a) (.f64 (/.f64 1 (*.f64 (/.f64 b_2 c) 2)) 1))
(.f64 (neg.f64 a) (.f64 1/2 (/.f64 c b_2)))
(*.f64 (+.f64 c c) (/.f64 1 (/.f64 -4 (/.f64 a b_2))))
(.f64 (+.f64 c c) (.f64 (/.f64 1 (/.f64 -4 (/.f64 a b_2))) 1))
(.f64 (+.f64 c c) (.f64 (/.f64 1 (*.f64 b_2 (/.f64 2 a))) -1/2))
(.f64 (+.f64 c c) (.f64 1/2 (*.f64 -1/2 (/.f64 a b_2))))
(.f64 (+.f64 a a) (/.f64 1 (.f64 (/.f64 b_2 c) -4)))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (*.f64 (/.f64 b_2 c) -4)) 1))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (*.f64 (/.f64 b_2 c) 2)) -1/2))
(.f64 (+.f64 a a) (.f64 1/2 (*.f64 -1/2 (/.f64 c b_2))))
(.f64 (+.f64 a a) (.f64 -1/4 (/.f64 c b_2)))
(.f64 (.f64 (/.f64 c b_2) (neg.f64 a)) 1/2)
(.f64 (.f64 a (/.f64 c b_2)) -1/2)
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (.f64 -1/2 (/.f64 c b_2)) a)
(.f64 (/.f64 c b_2) (.f64 a -1/2))
(.f64 (.f64 -1/2 (/.f64 a b_2)) c)
(.f64 (/.f64 1 (.f64 (/.f64 b_2 c) 2)) (neg.f64 a))
(.f64 1/2 (.f64 (/.f64 c b_2) (neg.f64 a)))
(*.f64 (/.f64 1 (/.f64 -4 (/.f64 a b_2))) (+.f64 c c))
(.f64 (/.f64 1 (.f64 (/.f64 b_2 c) -4)) (+.f64 a a))
(pow.f64 (.f64 (.f64 a -1/2) (/.f64 c b_2)) 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))
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(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(.f64 (/.f64 c a) (.f64 -1/2 (/.f64 a b_2)))
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(*.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 a) (.f64 (*.f64 a -1/2) (/.f64 c b_2)))
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(.f64 (/.f64 (/.f64 c b_2) a) (.f64 a -1/2))
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (.f64 -1/2 (/.f64 a b_2)) (/.f64 c a))
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(.f64 (/.f64 2 (.f64 a -4)) (*.f64 a (/.f64 c b_2)))
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(.f64 (/.f64 1 (+.f64 a a)) (.f64 (/.f64 c b_2) (neg.f64 a)))
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(.f64 (/.f64 2 (.f64 b_2 -4)) c)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 (.f64 a (*.f64 (/.f64 b_2 c) 2))) (neg.f64 a))
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(.f64 (/.f64 1 (.f64 b_2 -4)) (+.f64 c c))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 (/.f64 1 (.f64 (/.f64 b_2 c) (*.f64 a -4))) (+.f64 a a))
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(.f64 (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))) a)
(.f64 a (/.f64 1 (.f64 a (*.f64 -2 (/.f64 b_2 c)))))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 c (.f64 (/.f64 -1/2 a) (/.f64 a b_2)))
(.f64 -1/2 (.f64 c (/.f64 (/.f64 a b_2) a)))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 (.f64 a -1/2) (/.f64 c b_2)) 0)
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(+.f64 0 (.f64 (.f64 a -1/2) (/.f64 c b_2)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(-.f64 (.f64 (.f64 a -1/2) (/.f64 c b_2)) 0)
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 a (.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (.f64 a -1/2) (/.f64 c b_2))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 (.f64 (*.f64 a -1/2) (/.f64 c b_2)) 1)
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 1 (.f64 (*.f64 a -1/2) (/.f64 c b_2)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (neg.f64 a) (/.f64 1 (.f64 (/.f64 b_2 c) 2)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (neg.f64 a) (.f64 (/.f64 1 (*.f64 (/.f64 b_2 c) 2)) 1))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (neg.f64 a) (.f64 1/2 (/.f64 c b_2)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(*.f64 (+.f64 c c) (/.f64 1 (/.f64 -4 (/.f64 a b_2))))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (+.f64 c c) (.f64 (/.f64 1 (/.f64 -4 (/.f64 a b_2))) 1))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (+.f64 c c) (.f64 (/.f64 1 (*.f64 b_2 (/.f64 2 a))) -1/2))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (+.f64 c c) (.f64 1/2 (*.f64 -1/2 (/.f64 a b_2))))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (+.f64 a a) (/.f64 1 (.f64 (/.f64 b_2 c) -4)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (*.f64 (/.f64 b_2 c) -4)) 1))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (*.f64 (/.f64 b_2 c) 2)) -1/2))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (+.f64 a a) (.f64 1/2 (*.f64 -1/2 (/.f64 c b_2))))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (+.f64 a a) (.f64 -1/4 (/.f64 c b_2)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (.f64 (/.f64 c b_2) (neg.f64 a)) 1/2)
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (.f64 a (/.f64 c b_2)) -1/2)
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (.f64 -1/2 (/.f64 c b_2)) a)
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (/.f64 c b_2) (.f64 a -1/2))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (.f64 -1/2 (/.f64 a b_2)) c)
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (/.f64 1 (.f64 (/.f64 b_2 c) 2)) (neg.f64 a))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 1/2 (.f64 (/.f64 c b_2) (neg.f64 a)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(*.f64 (/.f64 1 (/.f64 -4 (/.f64 a b_2))) (+.f64 c c))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(.f64 (/.f64 1 (.f64 (/.f64 b_2 c) -4)) (+.f64 a a))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))
(pow.f64 (.f64 (.f64 a -1/2) (/.f64 c b_2)) 1)
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 c (.f64 -1/2 (/.f64 a b_2)))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 c (/.f64 1/2 b_2))
✓	4.1b	(.f64 a (.f64 c (/.f64 1/2 b_2)))
✓	5.7b	(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) (*.f64 b_2 -2)) a)

Compiler

Compiled 50 to 31 computations (38% saved)

series2.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`rational.json-1`
1788×	`rational.json-2`
1788×	`rational.json-4`
1788×	`rational.json-3`
1768×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	92	69
2	221	69
3	571	69
4	1527	69
5	5201	69

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 c (/.f64 1/2 b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 c (/.f64 1/2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 c (/.f64 1/2 b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 b_2 (/.f64 2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b_2 (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 b_2 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 b_2 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b_2 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 1/2 b_2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 c (/.f64 1/2 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b_2 (/.f64 2 c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b_2 (*.f64 a 1/2)) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (*.f64 2 (*.f64 b_2 (/.f64 2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (/.f64 (*.f64 b_2 4) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (/.f64 1/2 b_2)) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (*.f64 b_2 4) c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (*.f64 b_2 4) a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 b_2 4) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c b_2) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (/.f64 c b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (*.f64 2 (/.f64 b_2 (*.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (/.f64 (*.f64 b_2 4) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (+.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (/.f64 (neg.f64 b_2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (/.f64 (*.f64 b_2 -2) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (-.f64 0 (*.f64 b_2 (/.f64 2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 b_2 8) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b_2) (/.f64 2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 2 (/.f64 c b_2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/2) (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 1/2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (/.f64 (*.f64 b_2 -2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (-.f64 0 (/.f64 b_2 (*.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 c c)) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 a (*.f64 2 (/.f64 c b_2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (/.f64 b_2 2)) (/.f64 4 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a b_2) 1/2) (/.f64 4 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 a (*.f64 2 (/.f64 c b_2)))) (*.f64 2 (*.f64 a (*.f64 2 (/.f64 c b_2))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) 1/2) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) b_2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) 2) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) (*.f64 b_2 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c (/.f64 1/2 b_2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (/.f64 1/2 b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c (*.f64 b_2 4)) (/.f64 c (*.f64 b_2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 c (/.f64 1/2 b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (+.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 (neg.f64 b_2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b_2 (neg.f64 (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 b_2) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 1/2 b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 b_2 (/.f64 2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (*.f64 b_2 (/.f64 2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 b_2 4) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 b_2 4) (neg.f64 (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c b_2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 b_2) (/.f64 2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (*.f64 b_2 (/.f64 2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 b_2 (neg.f64 (*.f64 c 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 8 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 2 (*.f64 b_2 (/.f64 2 c))) (*.f64 2 (*.f64 b_2 (/.f64 2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 b_2 4) c) (/.f64 (*.f64 b_2 4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 b_2 8) (neg.f64 (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 c b_2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 4) (*.f64 b_2 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c 1/2) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (/.f64 8 (/.f64 c b_2)) (/.f64 8 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 b_2 8) (*.f64 c 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 c b_2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 c)) (*.f64 b_2 -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c 4)) (*.f64 2 (*.f64 b_2 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (/.f64 b_2 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (*.f64 b_2 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 b_2 (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 c c)) (neg.f64 (*.f64 b_2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c 1/2)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 c)) (+.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 c)) (-.f64 0 (*.f64 b_2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (/.f64 c b_2))) (*.f64 2 (*.f64 2 (/.f64 c b_2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 c)) (*.f64 2 (neg.f64 c))) (*.f64 b_2 -8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 c (/.f64 b_2 2)) (/.f64 c (/.f64 b_2 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 c c)) (neg.f64 (+.f64 c c))) (+.f64 (neg.f64 (*.f64 b_2 4)) (neg.f64 (*.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 c 1/2)) (neg.f64 (*.f64 c 1/2))) (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c))) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c 1/2) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c 1/2) 1/2) (+.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c 1/2) 2) (/.f64 b_2 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c 1/2) (*.f64 b_2 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 c 1/2)) b_2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 c)) 1/2) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 c)) b_2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 c)) 2) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 c)) (*.f64 b_2 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c 4)) (-.f64 0 (*.f64 b_2 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 c c))) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 c 1/2))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 c))) (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 1/2 b_2)) 1)))))

simplify278.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1222×	`rational.json-simplify-46`
944×	`rational.json-simplify-35`
898×	`rational.json-simplify-53`
832×	`rational.json-simplify-43`
812×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	5367
1	949	5351
2	2587	5171
3	5274	5171
4	7870	5171

Stop Event

1×	node limit

Counts

239 → 174

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.7b	(/.f64 (neg.f64 (/.f64 c b_2)) a)
✓	4.7b	(*.f64 (/.f64 -1/2 a) (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) a) (/.f64 -1 a)))
✓	9.4b	(.f64 a (.f64 (/.f64 -1/2 a) (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) a) (/.f64 -1 a))))
✓	9.5b	(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) a) (/.f64 -1 a))

Compiler

Compiled 67 to 28 computations (58.2% saved)

series7.0ms (0%)

Counts

4 → 144

Calls

36 calls:

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

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`exponential.json-3`
1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-4`
1454×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	134
1	128	134
2	408	104
3	1912	60
4	5584	60

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 c (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 (/.f64 c b_2) (/.f64 a (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 c (neg.f64 b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (/.f64 c b_2) (/.f64 a (neg.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 c b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 c (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (/.f64 c b_2) (/.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c b_2) (/.f64 1 (/.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (neg.f64 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (neg.f64 b_2)) (/.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 c (.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (.f64 a (neg.f64 b_2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 c (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 c b_2) (/.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 a) (.f64 (/.f64 c b_2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 c b_2) -2) (/.f64 1 (.f64 (/.f64 a (neg.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (/.f64 1 (.f64 (+.f64 a a) (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) (/.f64 1 (/.f64 (+.f64 a a) (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 c c) (/.f64 1 (+.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (/.f64 c (.f64 b_2 a))) (/.f64 -1 (.f64 (/.f64 -1 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 c b_2) a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (neg.f64 a)) (/.f64 c (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 c b_2) (neg.f64 a)) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 c b_2) (/.f64 a (neg.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 (/.f64 c b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b_2) c)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b_2) (/.f64 c (/.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (.f64 b_2 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (.f64 b_2 a)) (/.f64 -1 (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a) (/.f64 c (.f64 a (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (/.f64 -1 a)) (/.f64 c (.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (/.f64 a a)) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 a a)) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 (/.f64 -1 a) -2)) (.f64 -2 (/.f64 c (.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (/.f64 a (neg.f64 a)) 2)) (.f64 (/.f64 c b_2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 a a) (/.f64 b_2 c))) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (+.f64 a a) (/.f64 c b_2))) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 b_2 b_2)) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 c b_2) (/.f64 a (neg.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 c (neg.f64 b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c b_2) (/.f64 (.f64 a -2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (neg.f64 b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (.f64 (/.f64 b_2 c) (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 a) (/.f64 (/.f64 b_2 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c b_2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c b_2) a) (.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c b_2) (+.f64 a a)) (.f64 2 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c (neg.f64 b_2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (/.f64 -1/2 a)) (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (/.f64 c b_2) a)) (-.f64 0 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 2) 1)))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c (.f64 a (neg.f64 b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 c (.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)) (.f64 (/.f64 c b_2) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c (.f64 a (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 c (.f64 b_2 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 c (.f64 a (neg.f64 b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 c (.f64 b_2 a)))))) (#(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 -1/2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (neg.f64 b_2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (.f64 a (neg.f64 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 c (.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 a) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 a) (.f64 (/.f64 c b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 c (.f64 a (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 c b_2) -2) (/.f64 -1 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (/.f64 c (.f64 b_2 a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 c b_2) 2) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 -1/2 a) 2) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 c (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b_2) (/.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (.f64 b_2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 -2 (/.f64 c (.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (neg.f64 a)) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 a -2)) (.f64 (/.f64 c b_2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (.f64 a (neg.f64 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (.f64 b_2 a)))))))

simplify193.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1872×	`rational.json-simplify-35`
1156×	`rational.json-simplify-49`
1116×	`rational.json-simplify-46`
982×	`rational.json-simplify-43`
806×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	3761
1	606	3761
2	2217	3761
3	6480	3761

Stop Event

1×	node limit

Counts

273 → 139

Calls

Call 1

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

Outputs
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (*.f64 b_2 -2))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
(*.f64 -1/2 (/.f64 (/.f64 c a) 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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.f64 c b_2) (/.f64 -1/2 a))
(.f64 -1/2 (/.f64 c (.f64 a b_2)))
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(/.f64 (.f64 (/.f64 -1/2 a) 2) (.f64 2 (/.f64 b_2 c)))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 -4 (+.f64 (.f64 (.f64 a 4) (/.f64 b_2 c)) (.f64 (.f64 a 4) (/.f64 b_2 c))))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 1/2 (/.f64 b_2 (/.f64 c (neg.f64 a))))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (.f64 (/.f64 -1/2 a) 4) (+.f64 (.f64 2 (/.f64 b_2 c)) (*.f64 2 (/.f64 b_2 c))))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (/.f64 -2 (/.f64 b_2 c)) (*.f64 a 4))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (/.f64 1/2 (/.f64 b_2 c)) (neg.f64 a))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (+.f64 (/.f64 -1/2 (/.f64 b_2 c)) (/.f64 -1/2 (/.f64 b_2 c))) (+.f64 a a))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (+.f64 (/.f64 -2 (/.f64 b_2 c)) (/.f64 -2 (/.f64 b_2 c))) (.f64 2 (.f64 a 4)))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (+.f64 (/.f64 1/2 (/.f64 b_2 c)) (/.f64 1/2 (/.f64 b_2 c))) (*.f64 a -2))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (neg.f64 (/.f64 -1/2 a)) (-.f64 0 (/.f64 b_2 c)))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (neg.f64 (/.f64 -1/2 (/.f64 b_2 c))) (neg.f64 a))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 b_2 c))) (-.f64 0 (*.f64 a 4)))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (neg.f64 (/.f64 1/2 (/.f64 b_2 c))) a)
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(/.f64 (neg.f64 (/.f64 1/2 (/.f64 b_2 c))) (-.f64 0 (neg.f64 a)))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(pow.f64 (*.f64 (/.f64 c b_2) (/.f64 -1/2 a)) 1)
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(neg.f64 (.f64 (/.f64 -1/2 a) (.f64 (/.f64 c b_2) (/.f64 a (neg.f64 a)))))
(*.f64 -1/2 (/.f64 (/.f64 c a) b_2))
(*.f64 (/.f64 c b_2) (/.f64 -1/2 a))
(+.f64 (/.f64 c (*.f64 a (neg.f64 b_2))) 0)
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(+.f64 -1 (-.f64 1 (/.f64 c (*.f64 b_2 a))))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(+.f64 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)) (.f64 (/.f64 c b_2) (/.f64 -1/2 a)))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(+.f64 0 (/.f64 c (*.f64 a (neg.f64 b_2))))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(+.f64 (-.f64 1 (/.f64 c (*.f64 b_2 a))) -1)
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(-.f64 (/.f64 c (*.f64 a (neg.f64 b_2))) 0)
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(-.f64 0 (/.f64 c (*.f64 b_2 a)))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(*.f64 (/.f64 c b_2) (/.f64 -1 a))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (/.f64 c b_2) (.f64 (/.f64 -1/2 a) 2))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(*.f64 (/.f64 c (neg.f64 b_2)) (/.f64 1 a))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (/.f64 c (.f64 a (neg.f64 b_2))) 1)
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 -1 (/.f64 c (.f64 b_2 a)))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(*.f64 (/.f64 -1 a) (/.f64 c b_2))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (/.f64 -1/2 a) (.f64 (/.f64 c b_2) 2))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)) 2)
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 1 (/.f64 c (.f64 a (neg.f64 b_2))))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (.f64 (/.f64 c b_2) -2) (/.f64 -1 (*.f64 a -2)))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (.f64 -2 (/.f64 c (*.f64 b_2 a))) 1/2)
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 2 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (.f64 (/.f64 c b_2) 2) (/.f64 -1/2 a))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (.f64 (/.f64 -1/2 a) 2) (/.f64 c b_2))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(*.f64 (/.f64 1 a) (/.f64 c (neg.f64 b_2)))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(*.f64 (/.f64 1 b_2) (/.f64 c (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (/.f64 c (.f64 b_2 a)) -1)
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 1/2 (.f64 -2 (/.f64 c (*.f64 b_2 a))))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(*.f64 (/.f64 c (neg.f64 a)) (/.f64 1 b_2))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(.f64 (/.f64 -1 (.f64 a -2)) (*.f64 (/.f64 c b_2) -2))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(pow.f64 (/.f64 c (*.f64 a (neg.f64 b_2))) 1)
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)
(neg.f64 (/.f64 c (*.f64 b_2 a)))
(neg.f64 (/.f64 (/.f64 c a) b_2))
(/.f64 (/.f64 c (neg.f64 a)) b_2)

eval313.0ms (1.6%)

Compiler: Compiled 12961 to 7387 computations (43% saved)

prune420.0ms (2.2%)

Pruning

54 alts after pruning (46 fresh and 8 done)

	Pruned	Kept	Total
New	650	16	666
Fresh	9	30	39
Picked	0	1	1
Done	2	7	9
Total	661	54	715

Error

3.7b

Counts

715 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	50.1b	(/.f64 (/.f64 (/.f64 c b_2) (.f64 a 2)) (.f64 a (/.f64 (/.f64 -1 a) a)))
	51.3b	(/.f64 (/.f64 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)) a) (/.f64 1 (.f64 a a)))
▶	43.6b	(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 2 a)) a)
	52.0b	(/.f64 (/.f64 a (/.f64 (/.f64 (/.f64 b_2 c) 1/2) a)) (*.f64 a (neg.f64 a)))
	44.0b	(/.f64 (/.f64 2 a) (/.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) a))
	55.6b	(/.f64 (/.f64 1 (.f64 (/.f64 c b_2) (neg.f64 a))) (.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) (/.f64 (/.f64 (/.f64 b_2 a) -2) c)))
	44.0b	(/.f64 (/.f64 -1/2 a) (/.f64 (/.f64 b_2 c) a))
	54.4b	(/.f64 (/.f64 -2 (.f64 (/.f64 c b_2) (neg.f64 a))) (.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a 1))))
	55.3b	(/.f64 (/.f64 -2 a) (.f64 (/.f64 c (neg.f64 b_2)) (.f64 (/.f64 -4 (/.f64 c b_2)) (/.f64 b_2 (*.f64 c a)))))
	49.4b	(/.f64 (+.f64 (/.f64 (/.f64 c b_2) (/.f64 2 a)) (*.f64 b_2 -2)) a)
▶	49.4b	(/.f64 (+.f64 (/.f64 (/.f64 a b_2) (/.f64 2 c)) (*.f64 b_2 -2)) a)
	50.4b	(/.f64 (+.f64 (/.f64 1/2 (/.f64 b_2 (.f64 a c))) (.f64 b_2 -2)) a)
	49.4b	(/.f64 (+.f64 (.f64 a (/.f64 (/.f64 1 b_2) (/.f64 2 c))) (.f64 b_2 -2)) a)
	49.4b	(/.f64 (+.f64 (.f64 a (/.f64 1/2 (/.f64 b_2 c))) (.f64 b_2 -2)) a)
✓	49.4b	(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) (*.f64 b_2 -2)) a)
	45.1b	(/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a)
✓	37.5b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	55.8b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	45.3b	(/.f64 (.f64 (+.f64 c c) (.f64 (/.f64 1 (*.f64 b_2 (/.f64 2 a))) -1/2)) a)
✓	43.5b	(/.f64 (.f64 a (.f64 -1/2 (/.f64 c b_2))) a)
	55.5b	(/.f64 (.f64 2 (/.f64 a (neg.f64 b_2))) (.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))))
	45.3b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	38.5b	(/.f64 c (*.f64 b_2 -2))
▶	37.5b	(/.f64 2 (.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))
	50.5b	(/.f64 1 (/.f64 a (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
	49.1b	(/.f64 1 (/.f64 a (*.f64 b_2 -2)))
	44.6b	(/.f64 1 (/.f64 a (sqrt.f64 (*.f64 c (neg.f64 a)))))
	49.2b	(+.f64 (/.f64 (.f64 1/2 c) b_2) (.f64 -2 (/.f64 b_2 a)))
	53.4b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
	53.4b	(.f64 (/.f64 (/.f64 (neg.f64 a) (/.f64 b_2 c)) (/.f64 (/.f64 b_2 c) -1/2)) (/.f64 b_2 (.f64 c (neg.f64 a))))
	45.5b	(.f64 (/.f64 (.f64 c a) b_2) (*.f64 1/2 (/.f64 -1 a)))
	55.5b	(.f64 (/.f64 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -4 (/.f64 c b_2))) (/.f64 (/.f64 -4 (/.f64 c b_2)) a))
	38.5b	(.f64 (/.f64 c b_2) (.f64 a (/.f64 -1/2 a)))
	44.3b	(.f64 (/.f64 c a) (.f64 -1/2 (/.f64 a b_2)))
	51.9b	(.f64 (/.f64 a (/.f64 -2 a)) (/.f64 (/.f64 c (.f64 b_2 a)) a))
✓	37.5b	(.f64 (/.f64 1 a) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))
	44.6b	(.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
	50.5b	(.f64 (+.f64 (/.f64 (.f64 a c) b_2) (*.f64 b_2 -4)) (/.f64 1/2 a))
	53.3b	(.f64 (.f64 (/.f64 -1/2 a) (/.f64 1 a)) (/.f64 c (/.f64 (/.f64 b_2 a) a)))
	43.6b	(.f64 (.f64 a (/.f64 4 (/.f64 b_2 c))) (/.f64 -1/8 a))
▶	43.6b	(.f64 (.f64 a (.f64 (/.f64 c b_2) -4)) (.f64 (/.f64 -1 a) (*.f64 a (/.f64 -1/8 a))))
	52.1b	(.f64 (.f64 a (*.f64 a (/.f64 c b_2))) (/.f64 (/.f64 -1/2 a) a))
	56.2b	(*.f64 c (/.f64 1/2 b_2))
	38.5b	(*.f64 c (neg.f64 (/.f64 1/2 b_2)))
▶	49.1b	(*.f64 b_2 (/.f64 -2 a))
	42.0b	(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
	41.7b	(.f64 a (.f64 (/.f64 c b_2) (/.f64 -1/2 a)))
✓	41.7b	(.f64 a (.f64 (/.f64 -1/2 a) (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) a) (/.f64 -1 a))))
	50.3b	(.f64 a (.f64 (/.f64 -1/2 a) (/.f64 (+.f64 (-.f64 1 (/.f64 c (*.f64 b_2 a))) -1) (/.f64 -1 a))))
	44.0b	(.f64 a (.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 c (+.f64 a a))))
	41.8b	(.f64 2 (/.f64 a (.f64 (/.f64 -2 (/.f64 c (neg.f64 b_2))) (*.f64 a -2))))
✓	56.2b	(*.f64 1/2 (/.f64 c b_2))
✓	49.1b	(*.f64 -2 (/.f64 b_2 a))
	51.9b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 1534 to 1044 computations (31.9% saved)

localize97.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (.f64 a (/.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))))
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	1.7b	(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))
	25.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 86 to 20 computations (76.7% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2130×	`rational.json-1`
1206×	`exponential.json-3`
1206×	`rational.json-2`
1206×	`rational.json-4`
1206×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	114	51
2	286	39
3	878	39
4	3375	39
5	7741	39

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify127.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational.json-simplify-43`
1042×	`rational.json-simplify-53`
1042×	`rational.json-simplify-46`
1012×	`rational.json-simplify-2`
890×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2916
1	426	2892
2	846	2860
3	1619	2854
4	3474	2854
5	6762	2854

Stop Event

1×	node limit

Counts

56 → 99

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`rational.json-1`
1196×	`rational.json-2`
1196×	`rational.json-3`
1194×	`rational.json-4`
1178×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	49	13
2	122	13
3	279	13
4	631	13
5	1941	13
6	4789	13

Stop Event

1×	node limit

Counts

1 → 75

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 -1 (-.f64 1 (*.f64 2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 b_2 (*.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 b_2 (neg.f64 a)))))) (#(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 2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 b_2 (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (/.f64 (*.f64 1/2 (*.f64 a a)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (/.f64 (neg.f64 (*.f64 a 8)) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (/.f64 a (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 -2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 a (/.f64 -1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 0 (/.f64 a (+.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 a (/.f64 2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (*.f64 2 (/.f64 a (neg.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (*.f64 -2 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 a (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (*.f64 2 (*.f64 a (/.f64 2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (/.f64 (*.f64 a 4) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b_2 b_2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 -4 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 a (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 -2 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (neg.f64 (*.f64 a (/.f64 2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (*.f64 2 (/.f64 (*.f64 a 4) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (*.f64 2 (*.f64 2 (*.f64 a (/.f64 2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 4) (*.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -8 (/.f64 a b_2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 a (+.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 a (/.f64 -1/2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (*.f64 -2 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 2 (/.f64 a (neg.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (-.f64 0 (*.f64 2 (*.f64 a (/.f64 2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (-.f64 0 (/.f64 (*.f64 a 4) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (/.f64 b_2 (neg.f64 a))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 8) (*.f64 (neg.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 a) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 1/2) (*.f64 a -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 1/2) (/.f64 (*.f64 a (*.f64 a 1/4)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 (neg.f64 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b_2) (neg.f64 (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b_2) (-.f64 0 (/.f64 (*.f64 1/2 (*.f64 a a)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 b_2 8)) (*.f64 2 (*.f64 (neg.f64 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 a (neg.f64 b_2))) (*.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 16 (/.f64 b_2 (neg.f64 a)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 b_2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 b_2)) (*.f64 2 (neg.f64 (*.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 (*.f64 a 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 4) (*.f64 a -1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 4)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 8)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 (+.f64 a a)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 -1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 b_2 4) (*.f64 a -1/4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 b_2 (*.f64 a 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 16 (/.f64 b_2 (neg.f64 a))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 b_2 a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 b_2))) (*.f64 2 (*.f64 2 (neg.f64 (*.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 b_2 -1/2)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 1/2)) (neg.f64 (*.f64 a -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 1/2)) (-.f64 0 (/.f64 (*.f64 a (*.f64 a 1/4)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 b_2 8))) (*.f64 (neg.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 b_2 4))) (*.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 b_2 -1/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 b_2 8))) (-.f64 0 (*.f64 2 (*.f64 (neg.f64 a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 b_2))) (-.f64 0 (*.f64 2 (neg.f64 (*.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 b_2 -1/2))) (*.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 b_2 1/2))) (*.f64 a -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 b_2 -1/2))) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b_2 (*.f64 a 1/2)))))))

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational.json-simplify-35`
1228×	`rational.json-simplify-49`
966×	`rational.json-simplify-44`
924×	`rational.json-simplify-46`
806×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1323
1	620	1323
2	1689	1311
3	6658	1311

Stop Event

1×	node limit

Counts

99 → 79

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 -1 (-.f64 1 (*.f64 2 (/.f64 b_2 a))))
(+.f64 -1 (-.f64 1 (/.f64 b_2 (*.f64 a 1/2))))
(+.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 b_2 (neg.f64 a)))
(-.f64 (*.f64 b_2 (/.f64 -2 a)) 0)
(-.f64 0 (*.f64 2 (/.f64 b_2 a)))
(-.f64 0 (/.f64 b_2 (*.f64 a 1/2)))
(/.f64 b_2 (*.f64 a -1/2))
(/.f64 b_2 (/.f64 (.f64 1/2 (.f64 a a)) (neg.f64 a)))
(/.f64 b_2 (/.f64 (neg.f64 (*.f64 a 8)) 16))
(/.f64 -2 (/.f64 a b_2))
(/.f64 -2 (neg.f64 (/.f64 a (neg.f64 b_2))))
(/.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
(/.f64 1 (-.f64 0 (/.f64 a (+.f64 b_2 b_2))))
(/.f64 -4 (*.f64 a (/.f64 2 b_2)))
(/.f64 -4 (-.f64 0 (*.f64 2 (/.f64 a (neg.f64 b_2)))))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 -2 a) b_2)))
(/.f64 2 (/.f64 a (neg.f64 b_2)))
(/.f64 -8 (.f64 2 (.f64 a (/.f64 2 b_2))))
(/.f64 -8 (/.f64 (*.f64 a 4) b_2))
(/.f64 (+.f64 b_2 b_2) (neg.f64 a))
(/.f64 (*.f64 b_2 (/.f64 -4 a)) 2)
(/.f64 4 (*.f64 2 (/.f64 a (neg.f64 b_2))))
(/.f64 4 (/.f64 (*.f64 -2 a) b_2))
(/.f64 4 (neg.f64 (*.f64 a (/.f64 2 b_2))))
(/.f64 -16 (.f64 2 (/.f64 (.f64 a 4) b_2)))
(/.f64 -16 (.f64 2 (.f64 2 (*.f64 a (/.f64 2 b_2)))))
(/.f64 (.f64 b_2 4) (.f64 -2 a))
(/.f64 (/.f64 -8 (/.f64 a b_2)) 4)
(/.f64 -1 (/.f64 a (+.f64 b_2 b_2)))
(/.f64 -1 (neg.f64 (*.f64 a (/.f64 -1/2 b_2))))
(/.f64 8 (.f64 2 (/.f64 (.f64 -2 a) b_2)))
(/.f64 8 (.f64 2 (.f64 2 (/.f64 a (neg.f64 b_2)))))
(/.f64 8 (-.f64 0 (.f64 2 (.f64 a (/.f64 2 b_2)))))
(/.f64 8 (-.f64 0 (/.f64 (*.f64 a 4) b_2)))
(/.f64 (*.f64 16 (/.f64 b_2 (neg.f64 a))) 8)
(/.f64 (.f64 b_2 8) (.f64 (neg.f64 a) 4))
(/.f64 (/.f64 b_2 a) -1/2)
(/.f64 (.f64 b_2 1/2) (.f64 a -1/4))
(/.f64 (.f64 b_2 1/2) (/.f64 (.f64 a (*.f64 a 1/4)) (neg.f64 a)))
(/.f64 (/.f64 b_2 (neg.f64 a)) 1/2)
(/.f64 (neg.f64 b_2) (neg.f64 (*.f64 a -1/2)))
(/.f64 (neg.f64 b_2) (-.f64 0 (/.f64 (.f64 1/2 (.f64 a a)) (neg.f64 a))))
(/.f64 (.f64 2 (.f64 b_2 8)) (.f64 2 (.f64 (neg.f64 a) 4)))
(/.f64 (.f64 2 (/.f64 a (neg.f64 b_2))) (.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))))
(/.f64 (.f64 2 (.f64 16 (/.f64 b_2 (neg.f64 a)))) 16)
(/.f64 (*.f64 2 (/.f64 b_2 a)) -1)
(/.f64 (.f64 2 (neg.f64 b_2)) (.f64 2 (neg.f64 (*.f64 a -1/2))))
(/.f64 (/.f64 b_2 (*.f64 a 1/2)) -1)
(/.f64 (/.f64 (.f64 b_2 4) (.f64 a -1/4)) 8)
(/.f64 (neg.f64 (*.f64 b_2 4)) (+.f64 a a))
(/.f64 (neg.f64 (.f64 b_2 8)) (.f64 a 4))
(/.f64 (/.f64 b_2 (+.f64 a a)) -1/4)
(/.f64 (/.f64 b_2 -1/2) a)
(/.f64 (.f64 2 (/.f64 (.f64 b_2 4) (*.f64 a -1/4))) 16)
(/.f64 (.f64 2 (/.f64 b_2 (.f64 a 1/2))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 16 (/.f64 b_2 (neg.f64 a))))) 32)
(/.f64 (.f64 2 (.f64 2 (/.f64 b_2 a))) -2)
(/.f64 (.f64 2 (.f64 2 (neg.f64 b_2))) (.f64 2 (.f64 2 (neg.f64 (*.f64 a -1/2)))))
(/.f64 (*.f64 2 (/.f64 b_2 -1/2)) (+.f64 a a))
(/.f64 (neg.f64 (.f64 b_2 1/2)) (neg.f64 (.f64 a -1/4)))
(/.f64 (neg.f64 (.f64 b_2 1/2)) (-.f64 0 (/.f64 (.f64 a (*.f64 a 1/4)) (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (.f64 b_2 8))) (.f64 (neg.f64 a) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 b_2 4))) (.f64 -2 a))
(/.f64 (neg.f64 (/.f64 b_2 -1/2)) (neg.f64 a))
(/.f64 (neg.f64 (.f64 2 (.f64 b_2 8))) (-.f64 0 (.f64 2 (.f64 (neg.f64 a) 4))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 b_2))) (-.f64 0 (.f64 2 (neg.f64 (*.f64 a -1/2)))))
(/.f64 (neg.f64 (.f64 2 (/.f64 b_2 -1/2))) (.f64 -2 a))
(/.f64 (neg.f64 (neg.f64 (.f64 b_2 1/2))) (.f64 a -1/4))
(/.f64 (neg.f64 (neg.f64 (/.f64 b_2 -1/2))) a)
(pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(neg.f64 (*.f64 2 (/.f64 b_2 a)))
(neg.f64 (/.f64 b_2 (*.f64 a 1/2)))

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 -2 (/.f64 b_2 a))
(+.f64 0 (*.f64 b_2 (/.f64 -2 a)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 -1 (-.f64 1 (*.f64 2 (/.f64 b_2 a))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 -1 (-.f64 1 (/.f64 b_2 (*.f64 a 1/2))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 b_2 (neg.f64 a)))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (*.f64 b_2 (/.f64 -2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(-.f64 0 (*.f64 2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 0 (/.f64 b_2 (*.f64 a 1/2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (*.f64 a -1/2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 (.f64 1/2 (.f64 a a)) (neg.f64 a)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 (neg.f64 (*.f64 a 8)) 16))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -2 (neg.f64 (/.f64 a (neg.f64 b_2))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 1 (-.f64 0 (/.f64 a (+.f64 b_2 b_2))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -4 (*.f64 a (/.f64 2 b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -4 (-.f64 0 (*.f64 2 (/.f64 a (neg.f64 b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 -2 a) b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 2 (/.f64 a (neg.f64 b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -8 (.f64 2 (.f64 a (/.f64 2 b_2))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -8 (/.f64 (*.f64 a 4) b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (+.f64 b_2 b_2) (neg.f64 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 (/.f64 -4 a)) 2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 4 (*.f64 2 (/.f64 a (neg.f64 b_2))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 4 (/.f64 (*.f64 -2 a) b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 4 (neg.f64 (*.f64 a (/.f64 2 b_2))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -16 (.f64 2 (/.f64 (.f64 a 4) b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -16 (.f64 2 (.f64 2 (*.f64 a (/.f64 2 b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 b_2 4) (.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 -8 (/.f64 a b_2)) 4)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -1 (/.f64 a (+.f64 b_2 b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 -1 (neg.f64 (*.f64 a (/.f64 -1/2 b_2))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 8 (.f64 2 (/.f64 (.f64 -2 a) b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 8 (.f64 2 (.f64 2 (/.f64 a (neg.f64 b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 8 (-.f64 0 (.f64 2 (.f64 a (/.f64 2 b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 8 (-.f64 0 (/.f64 (*.f64 a 4) b_2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 16 (/.f64 b_2 (neg.f64 a))) 8)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 b_2 8) (.f64 (neg.f64 a) 4))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 b_2 a) -1/2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 b_2 1/2) (.f64 a -1/4))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 b_2 1/2) (/.f64 (.f64 a (*.f64 a 1/4)) (neg.f64 a)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 b_2 (neg.f64 a)) 1/2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) (neg.f64 (*.f64 a -1/2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) (-.f64 0 (/.f64 (.f64 1/2 (.f64 a a)) (neg.f64 a))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (.f64 b_2 8)) (.f64 2 (.f64 (neg.f64 a) 4)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (/.f64 a (neg.f64 b_2))) (.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))))
(.f64 2 (/.f64 (/.f64 a (neg.f64 b_2)) (.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2)))))
(.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 (/.f64 a b_2) (/.f64 a b_2)))
(/.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (*.f64 a -1/2) (/.f64 a b_2)))
(/.f64 (.f64 2 (.f64 16 (/.f64 b_2 (neg.f64 a)))) 16)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 2 (/.f64 b_2 a)) -1)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (neg.f64 b_2)) (.f64 2 (neg.f64 (*.f64 a -1/2))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 b_2 (*.f64 a 1/2)) -1)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 b_2 4) (.f64 a -1/4)) 8)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (*.f64 b_2 4)) (+.f64 a a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (.f64 b_2 8)) (.f64 a 4))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 b_2 (+.f64 a a)) -1/4)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (/.f64 b_2 -1/2) a)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (/.f64 (.f64 b_2 4) (*.f64 a -1/4))) 16)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (/.f64 b_2 (.f64 a 1/2))) -2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (.f64 2 (*.f64 16 (/.f64 b_2 (neg.f64 a))))) 32)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (.f64 2 (/.f64 b_2 a))) -2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 2 (.f64 2 (neg.f64 b_2))) (.f64 2 (.f64 2 (neg.f64 (*.f64 a -1/2)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 2 (/.f64 b_2 -1/2)) (+.f64 a a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (.f64 b_2 1/2)) (neg.f64 (.f64 a -1/4)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (.f64 b_2 1/2)) (-.f64 0 (/.f64 (.f64 a (*.f64 a 1/4)) (neg.f64 a))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (neg.f64 (.f64 b_2 8))) (.f64 (neg.f64 a) 4))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (neg.f64 (.f64 b_2 4))) (.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (/.f64 b_2 -1/2)) (neg.f64 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (.f64 2 (.f64 b_2 8))) (-.f64 0 (.f64 2 (.f64 (neg.f64 a) 4))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (.f64 2 (neg.f64 b_2))) (-.f64 0 (.f64 2 (neg.f64 (*.f64 a -1/2)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (.f64 2 (/.f64 b_2 -1/2))) (.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (neg.f64 (.f64 b_2 1/2))) (.f64 a -1/4))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 b_2 -1/2))) a)
(*.f64 -2 (/.f64 b_2 a))
(pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(neg.f64 (*.f64 2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 (*.f64 a 1/2)))
(*.f64 -2 (/.f64 b_2 a))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.1b	(/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 2 a))
✓	11.2b	(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 2 a)) a)

Compiler

Compiled 35 to 15 computations (57.1% saved)

series1.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`exponential.json-3`
1694×	`rational.json-1`
1694×	`rational.json-2`
1694×	`rational.json-4`
1694×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	96	44
2	345	44
3	1693	32
4	5653	32

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

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

simplify127.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational.json-simplify-53`
1152×	`rational.json-simplify-2`
1016×	`rational.json-simplify-54`
972×	`rational.json-simplify-50`
800×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	3227
1	629	3185
2	1545	3143
3	3728	3143
4	6850	3143

Stop Event

1×	node limit

Counts

197 → 136

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))
(+.f64 0 (*.f64 (/.f64 c b_2) -1/2))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 c (/.f64 a (*.f64 a 1/2))) b_2)))
(+.f64 (*.f64 (/.f64 c b_2) -1/2) 0)
(-.f64 0 (/.f64 (/.f64 c (/.f64 a (*.f64 a 1/2))) b_2))
(-.f64 (*.f64 (/.f64 c b_2) -1/2) 0)
(.f64 c (.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (*.f64 a 1/2) a)))
(.f64 c (.f64 (/.f64 -1 b_2) (/.f64 (*.f64 a 1/2) a)))
(.f64 (/.f64 c b_2) (/.f64 -1 (/.f64 a (.f64 a 1/2))))
(*.f64 (/.f64 c b_2) -1/2)
(.f64 (/.f64 c b_2) (.f64 (/.f64 -1 (/.f64 a (*.f64 a 1/2))) 1))
(.f64 (/.f64 c b_2) (.f64 (/.f64 (*.f64 a 1/2) a) -1))
(.f64 (/.f64 c b_2) (.f64 (/.f64 -1 (/.f64 2 a)) (/.f64 1 a)))
(.f64 (/.f64 c b_2) (.f64 (/.f64 -1 a) (*.f64 a 1/2)))
(.f64 (/.f64 c b_2) (.f64 -1 (/.f64 (*.f64 a 1/2) a)))
(.f64 (/.f64 c (neg.f64 b_2)) (/.f64 (.f64 a 1/2) a))
(*.f64 (/.f64 c (neg.f64 b_2)) 1/2)
(.f64 (/.f64 c (neg.f64 b_2)) (.f64 (*.f64 a 1/2) (/.f64 1 a)))
(.f64 (/.f64 c (neg.f64 b_2)) (.f64 (/.f64 1 a) (*.f64 a 1/2)))
(.f64 a (/.f64 1 (.f64 a (/.f64 (/.f64 b_2 c) -1/2))))
(.f64 a (/.f64 2 (.f64 a (/.f64 -4 (/.f64 c b_2)))))
(.f64 a (.f64 (/.f64 1 (*.f64 a (/.f64 (/.f64 b_2 c) -1/2))) 1))
(.f64 a (.f64 (/.f64 2 (*.f64 a (/.f64 -4 (/.f64 c b_2)))) 1))
(.f64 a (.f64 1/2 (/.f64 (/.f64 c b_2) (neg.f64 a))))
(.f64 a (.f64 (*.f64 (/.f64 c b_2) -1/2) (/.f64 1 a)))
(.f64 a (.f64 (/.f64 2 (/.f64 -4 (/.f64 c b_2))) (/.f64 1 a)))
(.f64 a (.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) -1/2)))
(.f64 (.f64 (/.f64 c b_2) (*.f64 -1/2 a)) (/.f64 1 a))
(.f64 1 (.f64 (/.f64 c b_2) -1/2))
(.f64 -1 (/.f64 (/.f64 c (/.f64 a (.f64 a 1/2))) b_2))
(.f64 -1 (.f64 (/.f64 c b_2) 1/2))
(.f64 -1 (.f64 (.f64 (/.f64 c b_2) (.f64 a 1/2)) (/.f64 1 a)))
(.f64 -1 (.f64 (/.f64 c (.f64 b_2 a)) (.f64 a 1/2)))
(.f64 (+.f64 c c) (.f64 (/.f64 1 (.f64 b_2 -2)) (/.f64 (.f64 a 1/2) a)))
(.f64 (.f64 (/.f64 c b_2) -2) (/.f64 2 (.f64 a (.f64 (/.f64 2 a) 4))))
(.f64 (.f64 (/.f64 c b_2) -2) (.f64 (/.f64 2 (.f64 a (*.f64 (/.f64 2 a) 4))) 1))
(.f64 (.f64 (/.f64 c b_2) -2) (.f64 (/.f64 2 (.f64 (/.f64 2 a) 4)) (/.f64 1 a)))
(.f64 (.f64 (/.f64 c b_2) -2) (.f64 (/.f64 2 (.f64 a 4)) (*.f64 a 1/2)))
(.f64 (.f64 (/.f64 c b_2) -2) (.f64 1/2 (/.f64 (.f64 a 1/2) a)))
(.f64 (+.f64 a a) (/.f64 1 (.f64 a (/.f64 -4 (/.f64 c b_2)))))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (*.f64 a (/.f64 -4 (/.f64 c b_2)))) 1))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (*.f64 2 (/.f64 (/.f64 b_2 c) -1/2))) (/.f64 1 a)))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (/.f64 -4 (/.f64 c b_2))) (/.f64 1 a)))
(.f64 (.f64 2 (.f64 (/.f64 c b_2) (.f64 -1/2 a))) (/.f64 2 (*.f64 a 4)))
(.f64 (.f64 2 (.f64 (/.f64 c b_2) (.f64 -1/2 a))) (.f64 (/.f64 2 (.f64 a 4)) 1))
(.f64 (.f64 2 (.f64 (/.f64 c b_2) (.f64 -1/2 a))) (*.f64 1/2 (/.f64 1 a)))
(.f64 (/.f64 (/.f64 c b_2) (neg.f64 a)) (.f64 a 1/2))
(.f64 (/.f64 c (.f64 b_2 a)) (/.f64 -1 (/.f64 2 a)))
(.f64 (/.f64 c (.f64 b_2 a)) (*.f64 (/.f64 -1 (/.f64 2 a)) 1))
(.f64 (/.f64 c (.f64 b_2 a)) (.f64 -1 (.f64 a 1/2)))
(.f64 (.f64 (/.f64 c b_2) (*.f64 a 1/2)) (/.f64 -1 a))
(.f64 (.f64 (/.f64 c b_2) (.f64 a 1/2)) (.f64 (/.f64 -1 a) 1))
(.f64 (.f64 (/.f64 c b_2) (.f64 a 1/2)) (.f64 -1 (/.f64 1 a)))
(.f64 (/.f64 (/.f64 c (/.f64 a (.f64 a 1/2))) b_2) -1)
(.f64 (/.f64 1 a) (.f64 (/.f64 c b_2) (*.f64 -1/2 a)))
(.f64 (.f64 a 1/2) (/.f64 (/.f64 c b_2) (neg.f64 a)))
(.f64 (/.f64 (.f64 a 1/2) a) (/.f64 c (neg.f64 b_2)))
(.f64 (/.f64 1 b_2) (/.f64 c (neg.f64 (/.f64 a (.f64 a 1/2)))))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c (neg.f64 (/.f64 a (*.f64 a 1/2)))) 1))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c (/.f64 a (*.f64 a 1/2))) -1))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c (neg.f64 (/.f64 2 a))) (/.f64 1 a)))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c (neg.f64 a)) (*.f64 a 1/2)))
(.f64 (/.f64 1 b_2) (.f64 (neg.f64 c) (/.f64 (*.f64 a 1/2) a)))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c 2) -1))
(.f64 (.f64 (/.f64 c b_2) 1/2) -1)
(.f64 (.f64 (/.f64 c b_2) -1/2) 1)
(.f64 (/.f64 -1 (/.f64 2 a)) (/.f64 c (.f64 b_2 a)))
(*.f64 1/2 (/.f64 c (neg.f64 b_2)))
(.f64 (/.f64 c (neg.f64 (/.f64 a (.f64 a 1/2)))) (/.f64 1 b_2))
(.f64 (/.f64 -1 (/.f64 a (.f64 a 1/2))) (/.f64 c b_2))
(.f64 (/.f64 -1 a) (.f64 (/.f64 c b_2) (*.f64 a 1/2)))
(.f64 (/.f64 2 (.f64 a 4)) (.f64 2 (.f64 (/.f64 c b_2) (*.f64 -1/2 a))))
(.f64 (/.f64 1 (.f64 a (/.f64 (/.f64 b_2 c) -1/2))) a)
(.f64 (/.f64 2 (.f64 a (.f64 (/.f64 2 a) 4))) (.f64 (/.f64 c b_2) -2))
(.f64 (/.f64 2 (.f64 a (/.f64 -4 (/.f64 c b_2)))) a)
(.f64 (/.f64 1 (.f64 a (/.f64 -4 (/.f64 c b_2)))) (+.f64 a a))
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (*.f64 (/.f64 c b_2) -1/2) 1)
(neg.f64 (/.f64 (/.f64 c (/.f64 a (*.f64 a 1/2))) b_2))
(neg.f64 (*.f64 (/.f64 c b_2) 1/2))
(+.f64 (.f64 (/.f64 c b_2) (.f64 -1/2 a)) 0)
(+.f64 0 (.f64 (/.f64 c b_2) (.f64 -1/2 a)))
(+.f64 -1 (-.f64 1 (.f64 (/.f64 c b_2) (.f64 a 1/2))))
(-.f64 (.f64 (/.f64 c b_2) (.f64 -1/2 a)) 0)
(-.f64 0 (.f64 (/.f64 c b_2) (.f64 a 1/2)))
(.f64 c (.f64 (neg.f64 (/.f64 1 b_2)) (*.f64 a 1/2)))
(.f64 c (.f64 (/.f64 -1 b_2) (*.f64 a 1/2)))
(*.f64 (/.f64 c b_2) (/.f64 -1 (/.f64 2 a)))
(.f64 (/.f64 c b_2) (.f64 (/.f64 -1 (/.f64 2 a)) 1))
(.f64 (/.f64 c b_2) (.f64 -1 (*.f64 a 1/2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 (/.f64 c b_2) (.f64 (*.f64 a 1/2) -1))
(.f64 (/.f64 c (neg.f64 b_2)) (.f64 a 1/2))
(.f64 a (.f64 (/.f64 c b_2) -1/2))
(*.f64 a (/.f64 2 (/.f64 -4 (/.f64 c b_2))))
(.f64 a (.f64 (/.f64 2 (/.f64 -4 (/.f64 c b_2))) 1))
(.f64 (.f64 (/.f64 c b_2) (*.f64 -1/2 a)) 1)
(.f64 1 (.f64 (/.f64 c b_2) (*.f64 -1/2 a)))
(.f64 -1 (.f64 (/.f64 c b_2) (*.f64 a 1/2)))
(.f64 -1 (.f64 (*.f64 (/.f64 c b_2) 1/2) a))
(.f64 (+.f64 c c) (.f64 (/.f64 1 (.f64 b_2 -2)) (.f64 a 1/2)))
(.f64 (.f64 (/.f64 c b_2) -2) (/.f64 2 (*.f64 (/.f64 2 a) 4)))
(.f64 (.f64 (/.f64 c b_2) -2) (.f64 1/2 (.f64 a 1/2)))
(.f64 (.f64 (/.f64 c b_2) -2) (.f64 (/.f64 2 (.f64 (/.f64 2 a) 4)) 1))
(.f64 (+.f64 a a) (/.f64 1 (.f64 2 (/.f64 (/.f64 b_2 c) -1/2))))
(*.f64 (+.f64 a a) (/.f64 1 (/.f64 -4 (/.f64 c b_2))))
(.f64 (+.f64 a a) (.f64 1/2 (*.f64 (/.f64 c b_2) -1/2)))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (*.f64 2 (/.f64 (/.f64 b_2 c) -1/2))) 1))
(.f64 (+.f64 a a) (.f64 (/.f64 1 (/.f64 -4 (/.f64 c b_2))) 1))
(.f64 (.f64 2 (.f64 (/.f64 c b_2) (.f64 -1/2 a))) 1/2)
(.f64 (.f64 (/.f64 c b_2) (*.f64 a 1/2)) -1)
(.f64 (.f64 a 1/2) (/.f64 c (neg.f64 b_2)))
(*.f64 (/.f64 1 b_2) (/.f64 c (neg.f64 (/.f64 2 a))))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c (neg.f64 (/.f64 2 a))) 1))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c (/.f64 2 a)) -1))
(.f64 (/.f64 1 b_2) (.f64 (neg.f64 c) (*.f64 a 1/2)))
(.f64 (.f64 (/.f64 c b_2) -1/2) a)
(*.f64 (/.f64 c (neg.f64 (/.f64 2 a))) (/.f64 1 b_2))
(*.f64 (/.f64 -1 (/.f64 2 a)) (/.f64 c b_2))
(.f64 1/2 (.f64 2 (.f64 (/.f64 c b_2) (.f64 -1/2 a))))
(.f64 (/.f64 2 (.f64 (/.f64 2 a) 4)) (*.f64 (/.f64 c b_2) -2))
(.f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 b_2 c) -1/2))) (+.f64 a a))
(*.f64 (/.f64 2 (/.f64 -4 (/.f64 c b_2))) a)
(*.f64 (/.f64 1 (/.f64 -4 (/.f64 c b_2))) (+.f64 a a))
(pow.f64 (.f64 (/.f64 c b_2) (.f64 -1/2 a)) 1)
(neg.f64 (.f64 (/.f64 c b_2) (.f64 a 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 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -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 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(+.f64 0 (*.f64 (/.f64 c b_2) -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 c (/.f64 a (*.f64 a 1/2))) b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 (/.f64 c b_2) -1/2) 0)
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 0 (/.f64 (/.f64 c (/.f64 a (*.f64 a 1/2))) b_2))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (*.f64 (/.f64 c b_2) -1/2) 0)
(*.f64 -1/2 (/.f64 c b_2))
(.f64 c (.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (*.f64 a 1/2) a)))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 c (.f64 (/.f64 -1 b_2) (/.f64 (*.f64 a 1/2) a)))
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(*.f64 (/.f64 1 b_2) (/.f64 c (neg.f64 (/.f64 2 a))))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c (neg.f64 (/.f64 2 a))) 1))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(.f64 (/.f64 1 b_2) (.f64 (/.f64 c (/.f64 2 a)) -1))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(.f64 (/.f64 1 b_2) (.f64 (neg.f64 c) (*.f64 a 1/2)))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(.f64 (.f64 (/.f64 c b_2) -1/2) a)
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(*.f64 (/.f64 c (neg.f64 (/.f64 2 a))) (/.f64 1 b_2))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(*.f64 (/.f64 -1 (/.f64 2 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 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(.f64 1/2 (.f64 2 (.f64 (/.f64 c b_2) (.f64 -1/2 a))))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(.f64 (/.f64 2 (.f64 (/.f64 2 a) 4)) (*.f64 (/.f64 c b_2) -2))
(.f64 (.f64 (/.f64 c b_2) -2) (/.f64 (/.f64 2 (/.f64 2 a)) 4))
(.f64 (.f64 (/.f64 c b_2) -2) (/.f64 1/2 (/.f64 2 a)))
(.f64 (/.f64 c b_2) (.f64 -2 (/.f64 a 4)))
(.f64 -2 (.f64 (/.f64 c b_2) (/.f64 a 4)))
(.f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 b_2 c) -1/2))) (+.f64 a a))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(*.f64 (/.f64 2 (/.f64 -4 (/.f64 c b_2))) a)
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(*.f64 (/.f64 1 (/.f64 -4 (/.f64 c b_2))) (+.f64 a a))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(pow.f64 (.f64 (/.f64 c b_2) (.f64 -1/2 a)) 1)
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))
(neg.f64 (.f64 (/.f64 c b_2) (.f64 a 1/2)))
(.f64 -1/2 (.f64 a (/.f64 c b_2)))
(.f64 (/.f64 c b_2) (.f64 -1/2 a))
(.f64 c (.f64 a (/.f64 -1/2 b_2)))
(.f64 c (/.f64 a (.f64 b_2 -2)))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.2b	(/.f64 (/.f64 a b_2) (/.f64 2 c))
✓	5.7b	(/.f64 (+.f64 (/.f64 (/.f64 a b_2) (/.f64 2 c)) (*.f64 b_2 -2)) a)

Compiler

Compiled 48 to 26 computations (45.8% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`rational.json-simplify-50`
1222×	`rational.json-simplify-2`
1212×	`exponential.json-3`
1212×	`rational.json-1`
1212×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	100	56
2	314	56
3	1173	56
4	3756	56

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 1/2 (/.f64 c b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 1/2 (/.f64 c b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) (*.f64 c 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) (/.f64 2 (/.f64 4 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 a b_2) (*.f64 2 (/.f64 2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 a b_2) (/.f64 4 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (*.f64 b_2 (/.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 a (*.f64 (/.f64 2 c) (+.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 a (*.f64 1/2 (/.f64 c b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 a (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 (/.f64 1 b_2) (/.f64 1 (/.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 (/.f64 1 b_2) (/.f64 2 (/.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 1/2 (/.f64 c b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (*.f64 1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) 2) (/.f64 (*.f64 c 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) 2) (*.f64 (*.f64 c 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) 2) (/.f64 1 (/.f64 4 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 (*.f64 b_2 (/.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (*.f64 (/.f64 a b_2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (*.f64 (/.f64 1 b_2) (/.f64 1 (/.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 2 (/.f64 8 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (/.f64 (*.f64 c 1/2) (+.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (*.f64 (/.f64 1 b_2) (/.f64 (*.f64 c 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) (*.f64 (*.f64 c 1/2) (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a c) 1/2) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c 4) (/.f64 1 (*.f64 (/.f64 4 a) (+.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c 4) (/.f64 1 (/.f64 8 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 4) (/.f64 1 (*.f64 (/.f64 2 c) (*.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 c b_2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) 4) (/.f64 1 (*.f64 (/.f64 2 c) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a c) (/.f64 1/2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (*.f64 (*.f64 a c) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 c b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 1 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 (/.f64 2 c) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 b_2 (neg.f64 (/.f64 2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 -1 (*.f64 b_2 (/.f64 2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 a) b_2) (/.f64 -1 (/.f64 2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 a) b_2) (/.f64 1 (/.f64 -2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a c) -2) (/.f64 -1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c 1/2) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) (/.f64 1 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) (/.f64 (/.f64 1 b_2) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 1/2 b_2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 1/2 b_2)) (/.f64 2 (/.f64 2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 1/2 b_2)) (/.f64 1 (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 a (*.f64 (/.f64 2 c) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 a (*.f64 b_2 (neg.f64 (/.f64 2 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 a) (*.f64 b_2 (/.f64 2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (neg.f64 a) b_2) (/.f64 2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 a b_2) (/.f64 -2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (*.f64 a c) -2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 b_2)) (/.f64 a (*.f64 2 (/.f64 2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 b_2)) (/.f64 a (/.f64 4 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 a (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 a (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 a b_2) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) (/.f64 1 (/.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) (/.f64 2 (/.f64 4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) b_2) (/.f64 1 (/.f64 4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 b_2) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c 1/2) 2) (*.f64 (/.f64 a b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 b_2 (/.f64 4 a))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c 1/2) (+.f64 b_2 b_2)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 c)) (*.f64 a (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 a)) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 4 a)) (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 4 a)) (/.f64 (+.f64 c c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) 1/4) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 b_2) (/.f64 1 (/.f64 2 a))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 b_2) (/.f64 2 (/.f64 4 a))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 b_2) (/.f64 1 (/.f64 4 a))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 b_2) (/.f64 (*.f64 c 1/2) 2)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1/2) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c 1/2) 1/2) (*.f64 (/.f64 a b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c 1/2) (/.f64 1/2 b_2)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a b_2) (*.f64 2 (/.f64 2 c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (*.f64 2 (/.f64 2 c))) (*.f64 2 (/.f64 1 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (/.f64 4 c)) (*.f64 2 (/.f64 1 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a b_2) (/.f64 4 c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 4 c)) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 4 c)) (*.f64 (/.f64 a b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 b_2 (/.f64 4 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (*.f64 (/.f64 2 c) (+.f64 b_2 b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 4 a) (+.f64 b_2 b_2))) (*.f64 c 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 8 (/.f64 a b_2))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 8 (/.f64 a b_2))) (*.f64 c 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 2 c) (*.f64 b_2 4))) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (*.f64 1/2 (/.f64 c b_2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 2 c) 4)) (*.f64 (/.f64 a b_2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -2 (/.f64 a b_2))) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (*.f64 (/.f64 2 c) (neg.f64 b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 2 c) (neg.f64 b_2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (*.f64 b_2 (neg.f64 (/.f64 2 c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 b_2 (neg.f64 (/.f64 2 c)))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 a) (*.f64 b_2 (/.f64 2 c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 b_2 (/.f64 2 c))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 a) b_2) (/.f64 2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 2 c)) (/.f64 (neg.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a b_2) (/.f64 -2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -2 c)) (/.f64 (neg.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 b_2) (/.f64 (*.f64 a c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 a c) -2) b_2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (/.f64 b_2 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 b_2 c)) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 a b_2) (/.f64 1 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 c)) (*.f64 a (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 b_2) (/.f64 1 c)) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 1/2 (/.f64 c b_2))) 1)))))

simplify151.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1488×	`rational.json-simplify-51`
1056×	`rational.json-simplify-35`
1028×	`rational.json-simplify-44`
1000×	`rational.json-simplify-1`
954×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	4901
1	593	4823
2	1446	4799
3	4883	4799
4	7949	4799

Stop Event

1×	node limit

Counts

209 → 181

Calls

Call 1

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

Outputs
(*.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 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 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 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 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 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 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 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 c (/.f64 1/2 b_2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 c (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(+.f64 (.f64 (+.f64 (.f64 b_2 -4) (*.f64 a (/.f64 c b_2))) (/.f64 1/2 a)) 0)
(.f64 (+.f64 (.f64 b_2 -4) (/.f64 (*.f64 a c) b_2)) (/.f64 1/2 a))
(.f64 (+.f64 (.f64 b_2 -4) (*.f64 a (/.f64 c b_2))) (/.f64 1/2 a))
(.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) (/.f64 1/2 a))
(.f64 (+.f64 (/.f64 a (/.f64 b_2 c)) (.f64 b_2 -4)) (/.f64 1/2 a))
(+.f64 0 (.f64 (+.f64 (.f64 b_2 -4) (*.f64 a (/.f64 c b_2))) (/.f64 1/2 a)))
(.f64 (+.f64 (.f64 b_2 -4) (/.f64 (*.f64 a c) b_2)) (/.f64 1/2 a))
(.f64 (+.f64 (.f64 b_2 -4) (*.f64 a (/.f64 c b_2))) (/.f64 1/2 a))
(.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) (/.f64 1/2 a))
(.f64 (+.f64 (/.f64 a (/.f64 b_2 c)) (.f64 b_2 -4)) (/.f64 1/2 a))
(-.f64 (.f64 (+.f64 (.f64 b_2 -4) (*.f64 a (/.f64 c b_2))) (/.f64 1/2 a)) 0)
(.f64 (+.f64 (.f64 b_2 -4) (/.f64 (*.f64 a c) b_2)) (/.f64 1/2 a))
(.f64 (+.f64 (.f64 b_2 -4) (*.f64 a (/.f64 c b_2))) (/.f64 1/2 a))
(.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) (/.f64 1/2 a))
(.f64 (+.f64 (/.f64 a (/.f64 b_2 c)) (.f64 b_2 -4)) (/.f64 1/2 a))
(.f64 2 (/.f64 (+.f64 (.f64 a (.f64 1/2 (/.f64 c b_2))) (.f64 b_2 -2)) (+.f64 a a)))
(.f64 2 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 a c) b_2)) (.f64 -2 b_2)) (+.f64 a a)))
(.f64 2 (/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 a b_2) c)) (.f64 -2 b_2)) (+.f64 a a)))
(.f64 2 (/.f64 (+.f64 (.f64 -2 b_2) (*.f64 a (/.f64 (/.f64 c 2) b_2))) (+.f64 a a)))
(.f64 2 (/.f64 (+.f64 (/.f64 a (/.f64 b_2 c)) (.f64 b_2 -4)) (+.f64 a (*.f64 3 a))))
(.f64 2 (/.f64 (.f64 (+.f64 (.f64 b_2 -4) (.f64 a (/.f64 c b_2))) (/.f64 1/2 a)) 2))
(.f64 (+.f64 (.f64 b_2 -4) (/.f64 (*.f64 a c) b_2)) (/.f64 1/2 a))
(.f64 (+.f64 (.f64 b_2 -4) (*.f64 a (/.f64 c b_2))) (/.f64 1/2 a))
(.f64 (+.f64 (.f64 c (/.f64 a b_2)) (*.f64 b_2 -4)) (/.f64 1/2 a))
(.f64 (+.f64 (/.f64 a (/.f64 b_2 c)) (.f64 b_2 -4)) (/.f64 1/2 a))
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(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 -1 (/.f64 2 c)) (/.f64 (neg.f64 a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 (/.f64 a b_2) (/.f64 -2 c)) -1)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 1 (/.f64 -2 c)) (/.f64 (neg.f64 a) b_2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 (/.f64 -1 b_2) (/.f64 (.f64 a c) -2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 (/.f64 (/.f64 (.f64 a c) -2) b_2) -1)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 a (/.f64 b_2 c)) 1/2)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 (/.f64 1 (/.f64 b_2 c)) (.f64 a 1/2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 (/.f64 a b_2) (/.f64 1 c)) 1/2)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 (/.f64 1 (/.f64 1 c)) (.f64 a (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 (/.f64 (/.f64 1 b_2) (/.f64 1 c)) (.f64 a 1/2))
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))
(pow.f64 (.f64 a (.f64 1/2 (/.f64 c b_2))) 1)
(.f64 1/2 (/.f64 (.f64 a c) b_2))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(*.f64 a (/.f64 (/.f64 c 2) b_2))
(*.f64 1/2 (/.f64 a (/.f64 b_2 c)))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 c b_2) -4)
✓	0.2b	(*.f64 a (/.f64 -1/8 a))
✓	4.1b	(.f64 a (.f64 (/.f64 c b_2) -4))
✓	11.2b	(.f64 (.f64 a (.f64 (/.f64 c b_2) -4)) (.f64 (/.f64 -1 a) (*.f64 a (/.f64 -1/8 a))))

Compiler

Compiled 61 to 35 computations (42.6% saved)

series5.0ms (0%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	c	@	inf	(*.f64 (/.f64 c b_2) -4)
0.0ms	c	@	-inf	(*.f64 (/.f64 c b_2) -4)
0.0ms	c	@	0	(.f64 a (.f64 (/.f64 c b_2) -4))
0.0ms	a	@	0	(.f64 a (.f64 (/.f64 c b_2) -4))
0.0ms	b_2	@	0	(.f64 a (.f64 (/.f64 c b_2) -4))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`rational.json-simplify-35`
1238×	`exponential.json-3`
1238×	`rational.json-1`
1238×	`rational.json-2`
1238×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	94
1	123	94
2	327	92
3	916	92
4	3135	88

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

Inputs
(.f64 (.f64 a (.f64 (/.f64 c b_2) -4)) (.f64 (/.f64 -1 a) (*.f64 a (/.f64 -1/8 a))))
(.f64 a (.f64 (/.f64 c b_2) -4))
(*.f64 a (/.f64 -1/8 a))
(*.f64 (/.f64 c b_2) -4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 (.f64 c (.f64 (/.f64 a b_2) -4)) (/.f64 (/.f64 1/8 a) a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 (.f64 c (.f64 (/.f64 a b_2) -4)) (/.f64 (/.f64 1/8 a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (.f64 (.f64 c (.f64 (/.f64 a b_2) -4)) (/.f64 (/.f64 1/8 a) a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (/.f64 (+.f64 a a) (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2)))) (/.f64 (+.f64 a a) (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 a (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 (.f64 c (.f64 (/.f64 a b_2) -4)) (/.f64 (/.f64 1/8 a) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (neg.f64 (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (+.f64 a a) (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 a (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2)))) (/.f64 a (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 a -2) (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 a (neg.f64 (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2))))) (/.f64 a (neg.f64 (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 (.f64 a (/.f64 (/.f64 1/8 a) a)) (.f64 (/.f64 c b_2) -8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 c (/.f64 a b_2)) (/.f64 4 a)) (.f64 (/.f64 1 a) (.f64 a -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 a (.f64 -4 (/.f64 (/.f64 1/8 a) a)))) (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (.f64 a -2) (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2)))) (/.f64 (.f64 a -2) (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 (/.f64 -1/8 a) (.f64 a (.f64 (/.f64 c b_2) -8)))) (.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a (/.f64 (/.f64 1/8 a) a)) (.f64 (/.f64 c b_2) (.f64 a -16))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a (/.f64 (/.f64 1/8 a) a)) (.f64 a -8)) (/.f64 (+.f64 b_2 b_2) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 a (/.f64 (/.f64 1/8 a) a)) (.f64 (/.f64 c b_2) (.f64 a -16)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 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(.f64 a (.f64 (/.f64 c b_2) -8))))) (-.f64 0 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2))))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 (.f64 c (.f64 (/.f64 a b_2) -4)) (/.f64 (/.f64 1/8 a) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 a (.f64 (.f64 -4 (.f64 a (/.f64 -1/8 a))) (/.f64 c b_2))) a))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (.f64 (/.f64 a b_2) -4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 c (.f64 (/.f64 a b_2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 c (.f64 (/.f64 a b_2) -4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b_2 (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c b_2) (/.f64 1 (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c (.f64 (/.f64 a b_2) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b_2 c) (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (/.f64 (+.f64 b_2 b_2) (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (+.f64 (/.f64 b_2 (.f64 a -4)) (/.f64 b_2 (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a -4) (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (+.f64 b_2 b_2) c) (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 b_2 c) (.f64 a -4)) (/.f64 (/.f64 b_2 c) (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 (/.f64 c b_2) -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c (/.f64 2 b_2)) (/.f64 4 (.f64 a -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c (/.f64 2 b_2)) (+.f64 (/.f64 1 (.f64 a -4)) (/.f64 1 (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c 4) (+.f64 (/.f64 (+.f64 b_2 b_2) (.f64 a -4)) (/.f64 (+.f64 b_2 b_2) (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (/.f64 (neg.f64 b_2) (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a -8) (/.f64 (+.f64 b_2 b_2) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a -16) (.f64 2 (/.f64 (+.f64 b_2 b_2) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (/.f64 (+.f64 b_2 b_2) c) (.f64 a -4)) (/.f64 (/.f64 (+.f64 b_2 b_2) c) (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c b_2) (.f64 a -16)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c b_2) 4) (+.f64 (/.f64 4 (.f64 a -8)) (/.f64 4 (.f64 a -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c -2) (+.f64 (/.f64 (neg.f64 b_2) (.f64 a -4)) (/.f64 (neg.f64 b_2) (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -4 (/.f64 a b_2)) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 c b_2) (.f64 a -16))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a -8) (/.f64 b_2 c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 a -8)) (-.f64 0 (/.f64 (+.f64 b_2 b_2) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 a -4)) (neg.f64 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -4 (/.f64 a b_2)) (.f64 -4 (/.f64 a b_2))) (+.f64 (/.f64 1 c) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 c b_2) (.f64 a -16))) (.f64 2 (.f64 (/.f64 c b_2) (.f64 a -16)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 a -8) (/.f64 b_2 c)) (/.f64 (.f64 a -8) (/.f64 b_2 c))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 a -4)) (neg.f64 (.f64 a -4))) (+.f64 (neg.f64 (/.f64 b_2 c)) (neg.f64 (/.f64 b_2 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 -4 (/.f64 a b_2))) (-.f64 0 (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 a -4))) (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (*.f64 (/.f64 a b_2) -4)) 1)))))
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1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 a -4) a) (/.f64 (/.f64 a -4) a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 a -4) 2) (/.f64 (/.f64 a -4) 2)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 a 8) a) (/.f64 (/.f64 a 8) a)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 a -8)) (neg.f64 (/.f64 a -8))) (.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 a -4)) (neg.f64 (/.f64 a -4))) (.f64 2 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 a -2)) (neg.f64 (/.f64 a -2))) (+.f64 (neg.f64 (.f64 a 4)) (neg.f64 (.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 a 8)) (neg.f64 (/.f64 a 8))) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 -1/8 a))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 a -8))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 a -4))) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 a -4))) (-.f64 0 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 a -2))) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 a 8))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 -1/8 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 a 8) a))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 c b_2) -4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 c b_2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 c b_2) -4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c b_2) -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c b_2) -8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 c b_2) -16) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 c b_2) -16)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 c b_2) -16)) (.f64 2 (.f64 (/.f64 c b_2) -16))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b_2) -4) 1)))))

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1534×	`rational.json-simplify-35`
1446×	`rational.json-simplify-2`
756×	`rational.json-simplify-51`
674×	`rational.json-simplify-50`
586×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	4344
1	1574	3666
2	5102	3438

Stop Event

1×	node limit

Counts

334 → 265

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

eval280.0ms (1.5%)

Compiler: Compiled 18627 to 11308 computations (39.3% saved)

prune254.0ms (1.3%)

Pruning

60 alts after pruning (49 fresh and 11 done)

	Pruned	Kept	Total
New	914	12	926
Fresh	4	37	41
Picked	1	0	1
Done	1	11	12
Total	920	60	980

Error

3.7b

Counts

980 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	50.1b	(/.f64 (/.f64 (/.f64 c b_2) (.f64 a 2)) (.f64 a (/.f64 (/.f64 -1 a) a)))
	51.3b	(/.f64 (/.f64 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)) a) (/.f64 1 (.f64 a a)))
✓	43.6b	(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 2 a)) a)
	55.5b	(/.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (*.f64 a -1/2) (/.f64 a b_2)))
	52.0b	(/.f64 (/.f64 a (/.f64 (/.f64 (/.f64 b_2 c) 1/2) a)) (*.f64 a (neg.f64 a)))
	44.0b	(/.f64 (/.f64 2 a) (/.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) a))
	44.0b	(/.f64 (/.f64 -1/2 a) (/.f64 (/.f64 b_2 c) a))
	54.4b	(/.f64 (/.f64 -2 (.f64 (/.f64 c b_2) (neg.f64 a))) (.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a 1))))
	55.3b	(/.f64 (/.f64 -2 a) (.f64 (/.f64 c (neg.f64 b_2)) (.f64 (/.f64 -4 (/.f64 c b_2)) (/.f64 b_2 (*.f64 c a)))))
	49.4b	(/.f64 (+.f64 (/.f64 (/.f64 c b_2) (/.f64 2 a)) (*.f64 b_2 -2)) a)
✓	49.4b	(/.f64 (+.f64 (/.f64 (/.f64 a b_2) (/.f64 2 c)) (*.f64 b_2 -2)) a)
	50.4b	(/.f64 (+.f64 (/.f64 1/2 (/.f64 b_2 (.f64 a c))) (.f64 b_2 -2)) a)
	49.4b	(/.f64 (+.f64 (.f64 a (/.f64 (/.f64 1 b_2) (/.f64 2 c))) (.f64 b_2 -2)) a)
	49.4b	(/.f64 (+.f64 (.f64 a (/.f64 1/2 (/.f64 b_2 c))) (.f64 b_2 -2)) a)
✓	49.4b	(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) (*.f64 b_2 -2)) a)
	45.1b	(/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)) a)
✓	37.5b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	55.8b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	45.3b	(/.f64 (.f64 (+.f64 c c) (.f64 (/.f64 1 (*.f64 b_2 (/.f64 2 a))) -1/2)) a)
✓	43.5b	(/.f64 (.f64 a (.f64 -1/2 (/.f64 c b_2))) a)
	55.5b	(/.f64 (.f64 2 (/.f64 a (neg.f64 b_2))) (.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))))
	45.3b	(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
	38.5b	(/.f64 c (*.f64 b_2 -2))
	52.6b	(/.f64 b_2 (/.f64 (.f64 1/2 (.f64 a a)) (neg.f64 a)))
	44.6b	(/.f64 2 (.f64 a (/.f64 2 (sqrt.f64 (.f64 c (neg.f64 a))))))
	50.5b	(/.f64 1 (/.f64 a (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
	44.6b	(/.f64 1 (/.f64 a (sqrt.f64 (*.f64 c (neg.f64 a)))))
	49.1b	(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
	49.1b	(/.f64 -2 (/.f64 a b_2))
	49.2b	(+.f64 (/.f64 (.f64 1/2 c) b_2) (.f64 -2 (/.f64 b_2 a)))
	53.4b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 (neg.f64 b_2) a))
	53.4b	(.f64 (/.f64 (/.f64 (neg.f64 a) (/.f64 b_2 c)) (/.f64 (/.f64 b_2 c) -1/2)) (/.f64 b_2 (.f64 c (neg.f64 a))))
	45.5b	(.f64 (/.f64 (.f64 c a) b_2) (*.f64 1/2 (/.f64 -1 a)))
	43.6b	(.f64 (/.f64 (.f64 a -4) (/.f64 b_2 c)) (.f64 (/.f64 -1 a) (.f64 a (/.f64 -1/8 a))))
	55.5b	(.f64 (/.f64 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -4 (/.f64 c b_2))) (/.f64 (/.f64 -4 (/.f64 c b_2)) a))
	38.5b	(.f64 (/.f64 c b_2) (.f64 a (/.f64 -1/2 a)))
	44.3b	(.f64 (/.f64 c a) (.f64 -1/2 (/.f64 a b_2)))
	51.9b	(.f64 (/.f64 a (/.f64 -2 a)) (/.f64 (/.f64 c (.f64 b_2 a)) a))
	44.1b	(.f64 (/.f64 1 (/.f64 (/.f64 b_2 c) (.f64 a -4))) (.f64 (/.f64 -1 a) (.f64 a (/.f64 -1/8 a))))
✓	37.5b	(.f64 (/.f64 1 a) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)))
	44.6b	(.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
	50.5b	(.f64 (+.f64 (/.f64 (.f64 a c) b_2) (*.f64 b_2 -4)) (/.f64 1/2 a))
	45.1b	(.f64 (.f64 (/.f64 a b_2) (/.f64 c -1/4)) (.f64 (/.f64 -1 a) (.f64 a (/.f64 -1/8 a))))
	53.3b	(.f64 (.f64 (/.f64 -1/2 a) (/.f64 1 a)) (/.f64 c (/.f64 (/.f64 b_2 a) a)))
	43.6b	(.f64 (.f64 a (/.f64 4 (/.f64 b_2 c))) (/.f64 -1/8 a))
	52.1b	(.f64 (.f64 a (*.f64 a (/.f64 c b_2))) (/.f64 (/.f64 -1/2 a) a))
	50.3b	(.f64 (.f64 -4 (.f64 a (/.f64 1/8 (.f64 a a)))) (/.f64 a (/.f64 b_2 c)))
	56.2b	(*.f64 c (/.f64 1/2 b_2))
	38.5b	(*.f64 c (neg.f64 (/.f64 1/2 b_2)))
✓	49.1b	(*.f64 b_2 (/.f64 -2 a))
	42.0b	(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
	41.7b	(.f64 a (.f64 (/.f64 c b_2) (/.f64 -1/2 a)))
	41.9b	(.f64 a (.f64 (/.f64 2 (/.f64 -4 (/.f64 c b_2))) (/.f64 1 a)))
✓	41.7b	(.f64 a (.f64 (/.f64 -1/2 a) (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) a) (/.f64 -1 a))))
	50.3b	(.f64 a (.f64 (/.f64 -1/2 a) (/.f64 (+.f64 (-.f64 1 (/.f64 c (*.f64 b_2 a))) -1) (/.f64 -1 a))))
	44.0b	(.f64 a (.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 c (+.f64 a a))))
	51.9b	(.f64 a (.f64 c (.f64 (.f64 -4 (/.f64 a b_2)) (/.f64 (/.f64 1/8 a) a))))
✓	56.2b	(*.f64 1/2 (/.f64 c b_2))
✓	49.1b	(*.f64 -2 (/.f64 b_2 a))
	51.9b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 902 to 615 computations (31.8% saved)

regimes587.0ms (3.1%)

Counts

83 → 3

Calls

Call 1

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

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

Calls

4 calls:

222.0ms	c
163.0ms	a
98.0ms	b_2
79.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
27.0b	5	`a`
12.0b	3	`b_2`
27.5b	7	`c`
16.6b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1018 to 506 computations (50.3% saved)

bsearch48.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.806758921516097e-49	5.750598022031041e-46
22.0ms	-1.6880841136434444e+156	-6.357300149070959e+152

Results

26.0ms	214×	body	256	valid
6.0ms	20×	body	1024	valid
4.0ms	11×	body	2048	valid
4.0ms	38×	body	256	infinite
2.0ms	11×	body	512	valid
2.0ms	18×	body	256	invalid

Compiler

Compiled 486 to 335 computations (31.1% saved)

regimes726.0ms (3.8%)

Counts

79 → 3

Calls

Call 1

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

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

Calls

3 calls:

263.0ms	c
250.0ms	a
93.0ms	b_2

Results

Error	Segments	Branch
30.1b	5	`a`
14.4b	3	`b_2`
29.0b	9	`c`

Compiler

Compiled 942 to 479 computations (49.2% saved)

bsearch107.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
90.0ms	1.806758921516097e-49	5.750598022031041e-46
16.0ms	-3972.645695835108	-65.7489106627847

Results

69.0ms	20×	body	1024	valid
23.0ms	191×	body	256	valid
4.0ms	22×	body	512	valid
4.0ms	35×	body	256	invalid
3.0ms	7×	body	2048	valid

Compiler

Compiled 409 to 298 computations (27.1% saved)

regimes1.8s (9.6%)

Counts

77 → 3

Calls

Call 1

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

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

Calls

3 calls:

1.2s	a
418.0ms	c
220.0ms	b_2

Results

Error	Segments	Branch
30.6b	5	`a`
14.8b	3	`b_2`
29.0b	9	`c`

Compiler

Compiled 921 to 472 computations (48.8% saved)

bsearch133.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
72.0ms	1.806758921516097e-49	5.750598022031041e-46
61.0ms	-3972.645695835108	-65.7489106627847

Results

68.0ms	192×	body	256	valid
50.0ms	11×	body	2048	valid
5.0ms	18×	body	1024	valid
4.0ms	19×	body	512	valid
2.0ms	19×	body	256	invalid
0.0ms	1×	body	256	infinite

Compiler

Compiled 394 to 298 computations (24.4% saved)

regimes2.7s (14.1%)

Counts

74 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.1s	c
344.0ms	a
224.0ms	b_2

Results

Error	Segments	Branch
30.7b	5	`a`
14.8b	3	`b_2`
29.1b	9	`c`

Compiler

Compiled 892 to 465 computations (47.9% saved)

bsearch294.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
278.0ms	1.806758921516097e-49	5.750598022031041e-46
16.0ms	-3972.645695835108	-65.7489106627847

Results

276.0ms	199×	body	256	valid
6.0ms	20×	body	1024	valid
3.0ms	28×	body	256	invalid
3.0ms	14×	body	512	valid
2.0ms	7×	body	2048	valid

Compiler

Compiled 394 to 298 computations (24.4% saved)

regimes944.0ms (4.9%)

Counts

73 → 3

Calls

Call 1

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

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

Calls

3 calls:

330.0ms	c
238.0ms	b_2
178.0ms	a

Results

Error	Segments	Branch
33.7b	4	`a`
23.2b	3	`b_2`
33.4b	6	`c`

Compiler

Compiled 883 to 461 computations (47.8% saved)

bsearch86.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	1.071624610290832e-197	3.2272070185545784e-195
15.0ms	-2.82301033269142e-24	-5.971024446488754e-25

Results

50.0ms	50×	body	256	invalid
27.0ms	218×	body	256	valid
1.0ms	3×	body	1024	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 310 to 235 computations (24.2% saved)

regimes662.0ms (3.5%)

Counts

72 → 2

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 1/2 b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 -2 (/.f64 a b_2))
(/.f64 c (*.f64 b_2 -2))
(/.f64 (*.f64 b_2 -2) a)
(neg.f64 (*.f64 b_2 (/.f64 2 a)))
(*.f64 c (neg.f64 (/.f64 1/2 b_2)))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
(/.f64 1 (/.f64 a (*.f64 b_2 -2)))
(.f64 a (.f64 (/.f64 c b_2) (/.f64 -1/2 a)))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 (.f64 (/.f64 -1/2 a) (/.f64 a b_2)) c)
(.f64 (/.f64 c a) (.f64 -1/2 (/.f64 a b_2)))
(.f64 (/.f64 c b_2) (.f64 a (/.f64 -1/2 a)))
(/.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (.f64 a (.f64 -1/2 (/.f64 c b_2))) a)
(/.f64 (/.f64 -1/2 a) (/.f64 (/.f64 b_2 c) a))
(/.f64 (/.f64 (/.f64 a -2) (/.f64 b_2 c)) a)
(/.f64 b_2 (/.f64 (.f64 1/2 (.f64 a a)) (neg.f64 a)))
(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 2 a)) a)
(.f64 (.f64 a (/.f64 4 (/.f64 b_2 c))) (/.f64 -1/8 a))
(.f64 (/.f64 (.f64 c a) b_2) (*.f64 1/2 (/.f64 -1 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 c (/.f64 1/2 b_2)) (.f64 -2 (/.f64 b_2 a)))
(+.f64 (/.f64 (.f64 1/2 c) b_2) (.f64 -2 (/.f64 b_2 a)))
(.f64 a (.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 c (+.f64 a a))))
(/.f64 (/.f64 2 a) (/.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) a))
(.f64 a (.f64 (/.f64 2 (/.f64 -4 (/.f64 c b_2))) (/.f64 1 a)))
(.f64 (.f64 a (*.f64 a (/.f64 c b_2))) (/.f64 (/.f64 -1/2 a) a))
(.f64 (+.f64 (/.f64 (.f64 a c) b_2) (*.f64 b_2 -4)) (/.f64 1/2 a))
(.f64 (/.f64 a (/.f64 -2 a)) (/.f64 (/.f64 c (.f64 b_2 a)) a))
(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 c (/.f64 a b_2))) (*.f64 b_2 -2)) a)
(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) (*.f64 b_2 -2)) a)
(/.f64 (+.f64 (.f64 a (/.f64 1/2 (/.f64 b_2 c))) (.f64 b_2 -2)) a)
(/.f64 (+.f64 (/.f64 1/2 (/.f64 b_2 (.f64 a c))) (.f64 b_2 -2)) a)
(/.f64 (+.f64 (/.f64 (.f64 1/2 c) (/.f64 b_2 a)) (.f64 b_2 -2)) a)
(/.f64 (+.f64 (/.f64 (/.f64 a b_2) (/.f64 2 c)) (*.f64 b_2 -2)) a)
(/.f64 (+.f64 (/.f64 (/.f64 c b_2) (/.f64 2 a)) (*.f64 b_2 -2)) a)
(/.f64 (/.f64 b_2 (/.f64 a b_2)) (/.f64 (*.f64 a -1/2) (/.f64 a b_2)))
(.f64 2 (/.f64 a (.f64 (/.f64 -2 (/.f64 c (neg.f64 b_2))) (*.f64 a -2))))
(.f64 (/.f64 (/.f64 a (neg.f64 a)) (/.f64 b_2 c)) (.f64 a (/.f64 1/2 a)))
(/.f64 (/.f64 a (/.f64 (/.f64 (/.f64 b_2 c) 1/2) a)) (*.f64 a (neg.f64 a)))
(.f64 a (.f64 -4 (.f64 (/.f64 c b_2) (/.f64 a (.f64 a (*.f64 a 8))))))
(.f64 a (.f64 c (.f64 (.f64 -4 (/.f64 a b_2)) (/.f64 (/.f64 1/8 a) a))))
(.f64 (.f64 -4 (.f64 a (/.f64 1/8 (.f64 a a)))) (/.f64 a (/.f64 b_2 c)))
(.f64 (.f64 (/.f64 -1/2 a) (/.f64 1 a)) (/.f64 c (/.f64 (/.f64 b_2 a) a)))
(/.f64 1 (/.f64 a (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(/.f64 (.f64 (+.f64 c c) (.f64 (/.f64 1 (*.f64 b_2 (/.f64 2 a))) -1/2)) a)
(/.f64 (+.f64 (.f64 a (/.f64 (/.f64 1 b_2) (/.f64 2 c))) (.f64 b_2 -2)) a)
(/.f64 (+.f64 (/.f64 (/.f64 c (.f64 b_2 4)) (/.f64 1/2 a)) (.f64 b_2 -2)) a)
(/.f64 (/.f64 (.f64 (/.f64 c b_2) (/.f64 -1/2 a)) a) (/.f64 1 (.f64 a a)))
(/.f64 (/.f64 (/.f64 c b_2) (.f64 a 2)) (.f64 a (/.f64 (/.f64 -1 a) a)))
(.f64 a (.f64 (/.f64 -1/2 a) (/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) a) (/.f64 -1 a))))
(/.f64 (.f64 2 (/.f64 a (neg.f64 b_2))) (.f64 (/.f64 a (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))))
(.f64 (.f64 a (.f64 (/.f64 c b_2) -4)) (.f64 (/.f64 -1 a) (*.f64 a (/.f64 -1/8 a))))
(.f64 (.f64 (/.f64 a b_2) (/.f64 c -1/4)) (.f64 (/.f64 -1 a) (.f64 a (/.f64 -1/8 a))))
(.f64 (/.f64 (.f64 a -4) (/.f64 b_2 c)) (.f64 (/.f64 -1 a) (.f64 a (/.f64 -1/8 a))))
(.f64 a (.f64 (/.f64 -1/2 a) (/.f64 (+.f64 (-.f64 1 (/.f64 c (*.f64 b_2 a))) -1) (/.f64 -1 a))))
(.f64 (/.f64 1 (/.f64 (/.f64 b_2 c) (.f64 a -4))) (.f64 (/.f64 -1 a) (.f64 a (/.f64 -1/8 a))))
(.f64 (/.f64 (/.f64 (neg.f64 a) (/.f64 b_2 c)) (/.f64 (/.f64 b_2 c) -1/2)) (/.f64 b_2 (.f64 c (neg.f64 a))))
(/.f64 (/.f64 -2 a) (.f64 (/.f64 c (neg.f64 b_2)) (.f64 (/.f64 -4 (/.f64 c b_2)) (/.f64 b_2 (*.f64 c a)))))
(.f64 (/.f64 (.f64 -1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 -4 (/.f64 c b_2))) (/.f64 (/.f64 -4 (/.f64 c b_2)) a))
(/.f64 (/.f64 -2 (.f64 (/.f64 c b_2) (neg.f64 a))) (.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) (/.f64 (/.f64 b_2 c) (*.f64 a 1))))
(/.f64 (/.f64 1 (.f64 (/.f64 c b_2) (neg.f64 a))) (.f64 (/.f64 4 (neg.f64 (/.f64 c b_2))) (/.f64 (/.f64 (/.f64 b_2 a) -2) c)))

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

Calls

3 calls:

446.0ms	c
121.0ms	b_2
74.0ms	a

Results

Error	Segments	Branch
38.5b	1	`a`
24.9b	2	`b_2`
35.7b	5	`c`

Compiler

Compiled 878 to 459 computations (47.7% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	-4.135995129173032e-297	-2.8783623988156663e-307

Results

19.0ms	160×	body	256	valid
5.0ms	44×	body	256	invalid

Compiler

Compiled 262 to 195 computations (25.6% saved)

regimes260.0ms (1.4%)

Accuracy

Total -38.4b remaining (-154%)

Threshold costs -38.4b (-154%)

Counts

29 → 2

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 1/2 b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 -2 (/.f64 a b_2))
(/.f64 c (*.f64 b_2 -2))
(/.f64 (*.f64 b_2 -2) a)
(neg.f64 (*.f64 b_2 (/.f64 2 a)))
(*.f64 c (neg.f64 (/.f64 1/2 b_2)))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
(/.f64 1 (/.f64 a (*.f64 b_2 -2)))
(.f64 a (.f64 (/.f64 c b_2) (/.f64 -1/2 a)))
(.f64 a (/.f64 -1/2 (.f64 a (/.f64 b_2 c))))
(.f64 (.f64 (/.f64 -1/2 a) (/.f64 a b_2)) c)
(.f64 (/.f64 c a) (.f64 -1/2 (/.f64 a b_2)))
(.f64 (/.f64 c b_2) (.f64 a (/.f64 -1/2 a)))
(/.f64 (.f64 -1/2 (.f64 c (/.f64 a b_2))) a)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (.f64 a (.f64 -1/2 (/.f64 c b_2))) a)
(/.f64 (/.f64 -1/2 a) (/.f64 (/.f64 b_2 c) a))
(/.f64 (/.f64 (/.f64 a -2) (/.f64 b_2 c)) a)
(/.f64 b_2 (/.f64 (.f64 1/2 (.f64 a a)) (neg.f64 a)))
(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 2 a)) a)
(.f64 (.f64 a (/.f64 4 (/.f64 b_2 c))) (/.f64 -1/8 a))
(.f64 (/.f64 (.f64 c a) b_2) (*.f64 1/2 (/.f64 -1 a)))

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

Calls

3 calls:

208.0ms	c
31.0ms	b_2
14.0ms	a

Results

Error	Segments	Branch
38.5b	1	`a`
24.9b	2	`b_2`
35.7b	5	`c`

Compiler

Compiled 233 to 126 computations (45.9% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	7.768134528989412e-217	4.089052658734587e-213

Results

14.0ms	127×	body	256	valid
8.0ms	47×	body	256	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 166 to 127 computations (23.5% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	550

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 1825481618278213/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -66) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 7240220052213307/3291009114642412084309938365114701009965471731267159726697218048) (/.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (neg.f64 b_2)) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -66) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 7240220052213307/13164036458569648337239753460458804039861886925068638906788872192) (/.f64 1 (/.f64 a (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -520) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 271508251957999/822752278660603021077484591278675252491367932816789931674304512) (.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -3266710722441009/5444517870735015415413993718908291383296) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 8205812006415463/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) (sqrt.f64 (neg.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -3668540841195005/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 3493165707676595/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))

Outputs
(if (<=.f64 b_2 -649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 1825481618278213/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -66) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 7240220052213307/3291009114642412084309938365114701009965471731267159726697218048) (/.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (neg.f64 b_2)) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -66) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 7240220052213307/13164036458569648337239753460458804039861886925068638906788872192) (/.f64 1 (/.f64 a (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -520) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 271508251957999/822752278660603021077484591278675252491367932816789931674304512) (.f64 (/.f64 1 a) (sqrt.f64 (.f64 c (neg.f64 a)))) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -3266710722441009/5444517870735015415413993718908291383296) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 8205812006415463/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) (sqrt.f64 (neg.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -3668540841195005/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 3493165707676595/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 c b_2)))
(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 229 to 151 computations (34.1% saved)

soundness0.0ms (0%)

end80.0ms (0.4%)

Compiler: Compiled 208 to 110 computations (47.1% saved)