Details

analyze303.0ms (4.1%)

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)

sample1.8s (24.2%)

Results

714.0ms	5619×	body	256	valid
425.0ms	1179×	body	2048	valid
200.0ms	712×	body	1024	valid
186.0ms	403×	body	4096	valid
141.0ms	1201×	body	256	invalid
66.0ms	343×	body	512	valid
39.0ms	340×	body	256	infinite

Bogosity

preprocess90.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

984×	`rational_best-simplify-1`
792×	`rational_best-simplify-52`
722×	`rational_best-simplify-21`
722×	`rational_best-simplify-18`
710×	`rational_best-simplify-20`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	157	140
2	923	140
3	6310	140
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational_best-simplify-113`
724×	`rational_best-simplify-111`
710×	`rational_best-simplify-96`
682×	`rational_best-simplify-61`
666×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	55	35
2	304	35
3	1977	35

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune42.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

35.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	1.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	23.7b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series19.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`rational_best-simplify-96`
868×	`rational_best-simplify-61`
850×	`rational_best-simplify-65`
674×	`rational_best-simplify-3`
638×	`rational_best-simplify-110`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	66	106
2	371	106
3	2469	106

Stop Event

1×	node limit

Counts

4 → 56

Calls

Call 1

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

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

simplify103.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

586×	`rational_best-simplify-62`
454×	`rational_best-simplify-124`
450×	`rational_best-simplify-126`
440×	`rational_best-simplify-127`
418×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	6694
1	1334	6456

Stop Event

1×	node limit

Counts

152 → 175

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(sqrt.f64 (.f64 c (.f64 -1 a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 -1 a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 -1 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 (sqrt.f64 (.f64 c (neg.f64 a))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 -1 a))) (+.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 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (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 (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 -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 (.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 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(+.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c 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 b_2 (.f64 -1/2 (/.f64 (.f64 c a) 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 (.f64 c a) b_2)))
(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 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 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2))))
(-.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 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 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (neg.f64 b_2) (.f64 1/2 (/.f64 (.f64 c a) b_2)))) (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) 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 (.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 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(+.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c 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 b_2 (.f64 -1/2 (/.f64 (.f64 c a) 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 (.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 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (+.f64 b_2 (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(+.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c 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 b_2 (.f64 -1/2 (/.f64 (.f64 c a) 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 (.f64 -1 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 c (.f64 -1 a))) (neg.f64 b_2))
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 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 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 (.f64 c (*.f64 -1 a))) (neg.f64 b_2)))
(+.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)))) b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 -1 a))) (+.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 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (neg.f64 b_2))))
(+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (+.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 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -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 (.f64 c a) b_2)) (.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 (.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 -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 -1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) (+.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))) (pow.f64 b_2 7))) (.f64 -1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5)))))
(+.f64 (.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 -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 (pow.f64 (*.f64 c a) 4) 1/64)) (pow.f64 b_2 7)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (*.f64 b_2 -2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 b_2 -2)) (.f64 -1/8 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b_2 3))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5))) (*.f64 b_2 -2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)) 1/8) (.f64 b_2 -2)) (.f64 1/16 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b_2 5)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
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eval96.0ms (1.3%)

Compiler: Compiled 5210 to 2594 computations (50.2% saved)

prune74.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	163	12	175
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	163	13	176

Error

3.1b

Counts

176 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.2b	(/.f64 (if (!=.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) 0) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) a)
	37.5b	(/.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a)
▶	47.6b	(/.f64 (-.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2) b_2) a)
	56.6b	(/.f64 (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) b_2) a)
✓	35.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	44.5b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
▶	56.2b	(/.f64 (-.f64 b_2 b_2) a)
	46.5b	(/.f64 (*.f64 b_2 -2) a)
	45.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
▶	46.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	52.2b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
▶	38.6b	(*.f64 -1/2 (/.f64 c b_2))
	51.2b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 413 to 225 computations (45.5% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
✓	1.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
✓	12.9b	(/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))
✓	23.7b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 190 to 31 computations (83.7% saved)

series32.0ms (0.4%)

Counts

4 → 80

Calls

36 calls:

Time	Variable		Point	Expression
23.0ms	c	@	-inf	(/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))
0.0ms	c	@	inf	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
0.0ms	a	@	inf	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
0.0ms	c	@	-inf	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
0.0ms	a	@	-inf	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`rational_best-simplify-96`
1046×	`rational_best-simplify-65`
1046×	`rational_best-simplify-61`
770×	`rational_best-simplify-3`
622×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	150
1	83	150
2	459	150
3	3009	150

Stop Event

1×	node limit

Counts

4 → 64

Calls

Call 1

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

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

simplify166.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

690×	`rational_best-simplify-52`
682×	`rational_best-simplify-21`
670×	`rational_best-simplify-20`
668×	`rational_best-simplify-18`
610×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	7488
1	1101	7386
2	6733	7382

Stop Event

1×	node limit

Counts

144 → 178

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational_best-simplify-61`
1142×	`rational_best-simplify-3`
738×	`rational_best-simplify-62`
672×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	17	13
2	87	13
3	556	13
4	3758	13

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

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

Outputs
()

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.1%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize44.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 16 computations (54.3% saved)

series7.0ms (0.1%)

Counts

3 → 9

Calls

21 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`rational_best-simplify-124`
494×	`rational_best-simplify-126`
494×	`rational_best-simplify-113`
490×	`rational_best-simplify-127`
466×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	34	57
2	192	57
3	1260	57

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

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

Outputs

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

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

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

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

988×	`rational_best-simplify-65`
988×	`rational_best-simplify-61`
724×	`rational_best-simplify-3`
514×	`rational_best-simplify-62`
450×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	953
1	629	953
2	4352	953

Stop Event

1×	node limit

Counts

47 → 41

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
✓	4.5b	(/.f64 (-.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2) b_2) a)
✓	7.1b	(/.f64 (*.f64 c a) b_2)

Compiler

Compiled 55 to 20 computations (63.6% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

27 calls:

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

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`rational_best-simplify-61`
1050×	`rational_best-simplify-96`
1040×	`rational_best-simplify-65`
892×	`rational_best-simplify-3`
674×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	73	75
2	446	75
3	3073	75

Stop Event

1×	node limit

Counts

3 → 24

Calls

Call 1

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

Outputs

()

()

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

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

892×	`rational_best-simplify-113`
698×	`rational_best-simplify-111`
654×	`rational_best-simplify-61`
638×	`rational_best-simplify-65`
628×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	2344
1	338	2344
2	2119	2344

Stop Event

1×	node limit

Counts

96 → 34

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

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

eval200.0ms (2.7%)

Compiler: Compiled 25435 to 7878 computations (69% saved)

prune172.0ms (2.3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	441	4	445
Fresh	0	7	7
Picked	1	0	1
Done	1	4	5
Total	443	15	458

Error

3.1b

Counts

458 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.4b	(/.f64 (if (!=.f64 (.f64 b_2 2) 0) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) b_2)) a)
	37.5b	(/.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a)
	54.3b	(/.f64 (-.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2) a)
▶	56.6b	(/.f64 (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) b_2) a)
	60.1b	(/.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2) a)
✓	35.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	44.5b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	56.2b	(/.f64 (-.f64 b_2 b_2) a)
	46.5b	(/.f64 (*.f64 b_2 -2) a)
▶	45.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
✓	46.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	52.2b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
▶	56.7b	(*.f64 1/2 (/.f64 c b_2))
✓	38.6b	(*.f64 -1/2 (/.f64 c b_2))
▶	51.2b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 447 to 252 computations (43.6% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (.f64 b_2 b_2) (.f64 c a))
	1.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)
	12.9b	(/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2))
	23.7b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))

Compiler

Compiled 162 to 38 computations (76.5% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`rational_best-simplify-1`
704×	`rational_best-simplify-113`
638×	`rational_best-simplify-20`
636×	`rational_best-simplify-18`
370×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	35	19
2	158	19
3	967	19
4	7116	19

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

876×	`rational_best-simplify-96`
856×	`rational_best-simplify-61`
846×	`rational_best-simplify-65`
706×	`rational_best-simplify-3`
560×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	1344
1	442	1236
2	2730	1236

Stop Event

1×	node limit

Counts

64 → 37

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 (*.f64 c a) b_2)
✓	9.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`rational_best-simplify-113`
452×	`rational_best-simplify-126`
452×	`rational_best-simplify-124`
444×	`rational_best-simplify-127`
428×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	30	38
2	181	38
3	1200	38

Stop Event

1×	node limit

Counts

2 → 0

Calls

Call 1

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

Outputs
()
()

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational_best-simplify-61`
1142×	`rational_best-simplify-3`
738×	`rational_best-simplify-62`
672×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	468
1	17	468
2	87	468
3	556	468
4	3758	468

Stop Event

1×	node limit

Counts

36 → 1

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
✓	2.3b	(-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) b_2)
✓	4.5b	(/.f64 (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) b_2) a)
✓	7.1b	(/.f64 (*.f64 c a) b_2)

Compiler

Compiled 55 to 20 computations (63.6% saved)

series4.0ms (0%)

Counts

4 → 81

Calls

36 calls:

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

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`rational_best-simplify-111`
826×	`rational_best-simplify-61`
798×	`rational_best-simplify-65`
782×	`rational_best-simplify-96`
686×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	58	106
2	341	106
3	2389	106

Stop Event

1×	node limit

Counts

4 → 44

Calls

Call 1

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

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

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1072×	`rational_best-simplify-61`
1058×	`rational_best-simplify-65`
706×	`rational_best-simplify-3`
608×	`rational_best-simplify-62`
508×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	124	2539
1	566	2491
2	4283	2491

Stop Event

1×	node limit

Counts

125 → 57

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.8b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational_best-simplify-53`
806×	`rational_best-simplify-56`
670×	`rational_best-simplify-52`
654×	`rational_best-simplify-1`
500×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	22	15
2	122	15
3	756	15
4	5190	15

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational_best-simplify-61`
1148×	`rational_best-simplify-3`
744×	`rational_best-simplify-62`
672×	`rational_best-simplify-53`
618×	`rational_best-simplify-56`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	24	30
2	94	30
3	564	30
4	3788	30

Stop Event

1×	node limit

Counts

2 → 4

Calls

Call 1

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

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

eval243.0ms (3.3%)

Compiler: Compiled 22000 to 7430 computations (66.2% saved)

prune135.0ms (1.8%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	431	1	432
Fresh	0	6	6
Picked	0	1	1
Done	1	7	8
Total	432	15	447

Error

3.1b

Counts

447 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	43.6b	(/.f64 (if (!=.f64 (.f64 b_2 2) 0) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) 2) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)) a)
▶	37.5b	(/.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a)
▶	54.3b	(/.f64 (-.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2) a)
✓	56.6b	(/.f64 (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) b_2) a)
▶	60.1b	(/.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2) a)
✓	35.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	44.5b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	56.2b	(/.f64 (-.f64 b_2 b_2) a)
▶	46.5b	(/.f64 (*.f64 b_2 -2) a)
✓	45.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
✓	46.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	52.2b	(+.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (neg.f64 (/.f64 b_2 a)))
✓	56.7b	(*.f64 1/2 (/.f64 c b_2))
✓	38.6b	(*.f64 -1/2 (/.f64 c b_2))
✓	51.2b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 397 to 230 computations (42.1% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
	1.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	11.4b	(/.f64 (.f64 b_2 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) b_2)
	23.7b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 125 to 20 computations (84% saved)

series2.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`rational_best-simplify-96`
832×	`rational_best-simplify-61`
822×	`rational_best-simplify-65`
818×	`rational_best-simplify-111`
678×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	66	41
2	355	41
3	2360	41

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 b_2 0) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 (*.f64 b_2 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) b_2))))))

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

852×	`rational_best-simplify-65`
844×	`rational_best-simplify-61`
696×	`rational_best-simplify-113`
666×	`rational_best-simplify-62`
640×	`rational_best-simplify-96`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1567
1	422	1509
2	2354	1471

Stop Event

1×	node limit

Counts

21 → 48

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)))))
(if (!=.f64 b_2 0) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (/.f64 (.f64 b_2 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) b_2))

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

localize6.0ms (0.1%)

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

localize55.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2)
✓	4.5b	(/.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) b_2) a)
✓	7.1b	(/.f64 (*.f64 c a) b_2)

Compiler

Compiled 42 to 15 computations (64.3% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`rational_best-simplify-113`
780×	`rational_best-simplify-111`
754×	`rational_best-simplify-61`
732×	`rational_best-simplify-65`
716×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	55	44
2	317	44
3	2167	44

Stop Event

1×	node limit

Counts

2 → 0

Calls

Call 1

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

Outputs
()
()

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

494×	`rational_best-simplify-124`
492×	`rational_best-simplify-126`
488×	`rational_best-simplify-127`
466×	`rational_best-simplify-61`
450×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	954
1	34	892
2	191	784
3	1260	784

Stop Event

1×	node limit

Counts

36 → 6

Calls

Call 1

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

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

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(/.f64 (-.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2) a)
✓	5.7b	(.f64 b_2 (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2))
✓	7.1b	(/.f64 (*.f64 c a) b_2)
✓	19.7b	(/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2)

Compiler

Compiled 143 to 59 computations (58.7% saved)

series34.0ms (0.5%)

Counts

4 → 108

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	c	@	-inf	(/.f64 (-.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2) a)
1.0ms	a	@	-inf	(/.f64 (-.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2) a)
1.0ms	a	@	inf	(/.f64 (-.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2) a)
0.0ms	c	@	inf	(/.f64 (-.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2) a)
0.0ms	c	@	0	(/.f64 (-.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2) a)

rewrite141.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`rational_best-simplify-61`
1202×	`rational_best-simplify-65`
1060×	`rational_best-simplify-3`
774×	`rational_best-simplify-62`
606×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	118
1	87	118
2	519	118
3	3574	118

Stop Event

1×	node limit

Counts

4 → 21

Calls

Call 1

Inputs
(/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2)
(/.f64 (*.f64 c a) b_2)
(.f64 b_2 (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2))
(/.f64 (-.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) b_2) a)

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

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

826×	`rational_best-simplify-61`
814×	`rational_best-simplify-65`
810×	`rational_best-simplify-96`
750×	`rational_best-simplify-111`
710×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	4071
1	439	3839
2	2549	3695

Stop Event

1×	node limit

Counts

129 → 50

Calls

Call 1

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

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

localize33.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	16.4b	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series8.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

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

rewrite81.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`rational_best-simplify-113`
674×	`rational_best-simplify-111`
644×	`rational_best-simplify-61`
634×	`rational_best-simplify-96`
618×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	56	63
2	289	63
3	1880	63

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

Outputs

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

()

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

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1154×	`rational_best-simplify-61`
1112×	`rational_best-simplify-65`
854×	`rational_best-simplify-3`
616×	`rational_best-simplify-62`
610×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1891
1	625	1595
2	4078	1559

Stop Event

1×	node limit

Counts

73 → 67

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(*.f64 -1 b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(*.f64 -1 b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))))
(*.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
(.f64 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) -1)
(*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 c a)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 c) (sqrt.f64 a)))
(*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(*.f64 (neg.f64 (sqrt.f64 c)) (neg.f64 (sqrt.f64 (neg.f64 a))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 a))) (neg.f64 (sqrt.f64 c)))
(*.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 (neg.f64 c))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2))
(+.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) 0)
(+.f64 0 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
(+.f64 (neg.f64 b_2) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 0))
(+.f64 (neg.f64 b_2) (+.f64 0 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) 1)
(.f64 -1 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))
(.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) -1)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) 1)
(/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) -1)
(/.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (-.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) b_2)) 2)
(/.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) -2)
(/.f64 (.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 -1 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1))
(/.f64 (+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) -4)
(/.f64 (+.f64 (.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 -1 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 -1 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))))) (+.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1) (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1)))
(/.f64 (-.f64 (.f64 1 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))) (-.f64 1 (.f64 1 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (-.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) b_2)) (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (-.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) b_2)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1) (.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 -1 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))))) (.f64 (.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 -1 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 -1 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))))) (-.f64 (.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1) (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1)) (.f64 (+.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 1) (.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 -1 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))))))
(pow.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) 1)
(neg.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(if (!=.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c a) (.f64 c a))) (.f64 b_2 b_2)) (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
(if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) b_2) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
(if (!=.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) 0)) 0) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
(if (!=.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) 0) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 c a) (.f64 c a))) (.f64 b_2 b_2)) (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
(if (!=.f64 (neg.f64 b_2) 0) (/.f64 (.f64 b_2 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) b_2) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
(if (!=.f64 (-.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) 0) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) 0) (/.f64 (.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (sqrt.f64 (.f64 c (neg.f64 a)))) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))

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

eval185.0ms (2.5%)

Compiler: Compiled 19172 to 7095 computations (63% saved)

prune110.0ms (1.5%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	474	7	481
Fresh	2	0	2
Picked	0	1	1
Done	3	9	12
Total	479	17	496

Error

0.4b

Counts

496 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	61.5b	(/.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (.f64 (/.f64 (.f64 c a) b_2) 1/2) b_2)) b_2) (-.f64 (.f64 (/.f64 (*.f64 c a) b_2) 1/2) b_2)) a)
	47.6b	(/.f64 (if (!=.f64 b_2 0) (/.f64 (.f64 b_2 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) b_2) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) a)
✓	56.6b	(/.f64 (-.f64 (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))) b_2) a)
	51.9b	(/.f64 (-.f64 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)) b_2) a)
✓	35.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	44.5b	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	56.2b	(/.f64 (-.f64 b_2 b_2) a)
✓	46.5b	(/.f64 (*.f64 b_2 -2) a)
	56.8b	(/.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) a)
✓	45.6b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	43.1b	(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
	59.4b	(/.f64 (neg.f64 b_2) a)
	52.2b	(-.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 b_2 a))
✓	46.8b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
✓	56.7b	(*.f64 1/2 (/.f64 c b_2))
✓	38.6b	(*.f64 -1/2 (/.f64 c b_2))
✓	51.2b	(sqrt.f64 (neg.f64 (/.f64 c a)))

Compiler

Compiled 224 to 146 computations (34.8% saved)

regimes331.0ms (4.5%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

4 calls:

150.0ms	a
96.0ms	c
44.0ms	b_2
34.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
23.1b	14	`a`
9.6b	3	`b_2`
26.2b	7	`c`
13.3b	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 438 to 156 computations (64.4% saved)

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	1.7498099394020951e-124	2.4233277386480663e-124
15.0ms	-2.2569235125523984e+160	-3.432096661288234e+151

Results

13.0ms	110×	body	256	valid
4.0ms	25×	body	256	infinite
2.0ms	11×	body	512	valid
2.0ms	19×	body	256	invalid
2.0ms	6×	body	1024	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 222 to 151 computations (32% saved)

regimes215.0ms (2.9%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

111.0ms	a
72.0ms	c
27.0ms	b_2

Results

Error	Segments	Branch
26.9b	14	`a`
12.2b	3	`b_2`
30.4b	8	`c`

Compiler

Compiled 203 to 92 computations (54.7% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	1.7498099394020951e-124	2.4233277386480663e-124
24.0ms	-8.294209331146193e-62	-1.4586410673522925e-71

Results

23.0ms	193×	body	256	valid
5.0ms	40×	body	256	invalid
2.0ms	10×	body	512	valid
1.0ms	5×	body	1024	valid

Compiler

Compiled 308 to 223 computations (27.6% saved)

regimes175.0ms (2.4%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	a
67.0ms	c
30.0ms	b_2

Results

Error	Segments	Branch
29.2b	10	`a`
12.6b	3	`b_2`
30.4b	8	`c`

Compiler

Compiled 184 to 85 computations (53.8% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	1.7498099394020951e-124	2.4233277386480663e-124
27.0ms	-8.294209331146193e-62	-1.4586410673522925e-71

Results

24.0ms	191×	body	256	valid
5.0ms	46×	body	256	invalid
3.0ms	10×	body	1024	valid
1.0ms	5×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 282 to 210 computations (25.5% saved)

regimes143.0ms (1.9%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	a
50.0ms	c
21.0ms	b_2

Results

Error	Segments	Branch
30.5b	10	`a`
17.8b	3	`b_2`
32.8b	7	`c`

Compiler

Compiled 168 to 80 computations (52.4% saved)

bsearch49.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	2.152958908333277e-157	7.036033981559769e-154
24.0ms	-2.9116133622603495e-167	-1.301498929657502e-171

Results

30.0ms	241×	body	256	valid
10.0ms	94×	body	256	invalid
3.0ms	6×	body	1024	valid
2.0ms	9×	body	512	valid

Compiler

Compiled 310 to 239 computations (22.9% saved)

regimes105.0ms (1.4%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	a
20.0ms	c
14.0ms	b_2

Results

Error	Segments	Branch
33.8b	9	`a`
22.6b	2	`b_2`
37.0b	3	`c`

Compiler

Compiled 163 to 77 computations (52.8% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	2.477106792331511e-242	8.523704533316739e-239

Results

14.0ms	125×	body	256	valid
7.0ms	63×	body	256	invalid
1.0ms	3×	body	512	valid

Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes14.0ms (0.2%)

Accuracy

Total -27.5b remaining (-77.3%)

Threshold costs -27.5b (-77.3%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	b_2
4.0ms	c
3.0ms	a

Results

Error	Segments	Branch
38.6b	1	`a`
35.6b	2	`b_2`
38.6b	1	`c`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	2.477106792331511e-242	8.523704533316739e-239

Results

15.0ms	127×	body	256	valid
8.0ms	63×	body	256	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 158 to 119 computations (24.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	353

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 2500790388360437/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -7436779353051619/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -7559313193428757/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 4763410263543689/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -3505510752590663/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 2264377454892925/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (sqrt.f64 (neg.f64 (/.f64 c a))) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 6486494540087261/240240538521750407359077046256296219561976306993584113173692780504404210003815414654317126354570604187153728613910574803813846101321671784376366749012476965121271261522908882474772107196452653194239352573372884036938570849429907747816467644391667125314387968) (/.f64 (.f64 b_2 -2) a) (.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 5630637621603525/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(/.f64 (neg.f64 b_2) a)

Outputs
(if (<=.f64 b_2 -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 2500790388360437/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -7436779353051619/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -7559313193428757/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 4763410263543689/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -3505510752590663/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 (.f64 b_2 -2) a) (if (<=.f64 b_2 2264377454892925/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (sqrt.f64 (neg.f64 (/.f64 c a))) (.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 6486494540087261/240240538521750407359077046256296219561976306993584113173692780504404210003815414654317126354570604187153728613910574803813846101321671784376366749012476965121271261522908882474772107196452653194239352573372884036938570849429907747816467644391667125314387968) (/.f64 (.f64 b_2 -2) a) (.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 5630637621603525/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(/.f64 (neg.f64 b_2) a)

Compiler

Compiled 157 to 106 computations (32.5% saved)

soundness200.0ms (2.7%)

Algorithm

4×	egg-herbie

Rules

1152×	`rational_best-simplify-113`
1152×	`rational_best-simplify-113`
1152×	`rational_best-simplify-113`
724×	`rational_best-simplify-111`
724×	`rational_best-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	55	35
2	304	35
3	1977	35
0	317	6694
1	1334	6456
0	13	39
1	55	35
2	304	35
3	1977	35
0	13	39
1	55	35
2	304	35
3	1977	35

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 136 to 51 computations (62.5% saved)

end65.0ms (0.9%)

Compiler: Compiled 139 to 81 computations (41.7% saved)