Details

analyze298.0ms (1.1%)

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%	93.6%	0.1%	0%	6.2%	0%	7
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	8
11.1%	10.1%	81.1%	0.1%	0%	8.6%	0%	9
18%	15.6%	71%	0.1%	0%	13.3%	0%	10
25.9%	22%	63%	0.1%	0.8%	14%	0%	11
35.5%	29.1%	52.9%	0.1%	1.6%	16.4%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.2s (8.1%)

Results

759.0ms	5547×	body	256	valid
582.0ms	1178×	body	2048	valid
303.0ms	389×	body	4096	valid
226.0ms	743×	body	1024	valid
149.0ms	1072×	body	256	invalid
83.0ms	399×	body	512	valid
69.0ms	569×	body	256	infinite

Bogosity

preprocess103.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1374×	`rational.json-simplify-51`
1086×	`rational.json-simplify-19`
1020×	`rational.json-simplify-1`
970×	`rational.json-simplify-46`
898×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	204
1	104	204
2	191	204
3	370	204
4	1059	204
5	5078	204
6	7910	204
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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))

Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b (.f64 c 4))))) (.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b (.f64 4 c))))) (.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 b 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 c 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 b a))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a (.f64 b 4))))) (.f64 a 2))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1916×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
1148×	`rational.json-simplify-41`
994×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	37	51
2	69	51
3	127	51
4	362	51
5	2347	51
6	7146	51

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))

eval1.0ms (0%)

Compiler: Compiled 37 to 22 computations (40.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

36.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.9b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))

Compiler

Compiled 20 to 14 computations (30% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
✓	1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	2.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	24.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 73 to 32 computations (56.2% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0ms	b	@	0	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
1.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
1.0ms	c	@	inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2262×	`rational.json-1`
1408×	`rational.json-simplify-35`
946×	`exponential.json-3`
946×	`rational.json-2`
946×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	144
1	122	144
2	307	144
3	815	144
4	2619	144
5	7695	144

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))

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

simplify173.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational.json-simplify-51`
944×	`rational.json-simplify-49`
880×	`rational.json-simplify-61`
850×	`rational.json-simplify-1`
744×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	339	8818
1	747	8488
2	1731	8288
3	3972	8276
4	6819	8276

Stop Event

1×	node limit

Counts

208 → 270

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))) (+.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -1024))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (+.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -1024))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -1024)))))))
(+.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))) (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -1024))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (.f64 -2 (.f64 a (/.f64 c b))))
(+.f64 b (.f64 a (.f64 (/.f64 c b) -2)))
(+.f64 b (.f64 -2 (.f64 c (/.f64 a b))))
(+.f64 b (.f64 a (.f64 -2 (/.f64 c b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (+.f64 b (.f64 -2 (.f64 a (/.f64 c b)))) (.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))
(+.f64 b (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 b (+.f64 (.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -2 (.f64 a (/.f64 c b))) (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 b (+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (neg.f64 b) (.f64 2 (.f64 a (/.f64 c b))))
(+.f64 (neg.f64 b) (.f64 a (.f64 (/.f64 c b) 2)))
(+.f64 (neg.f64 b) (.f64 a (.f64 2 (/.f64 c b))))
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(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) a) -1/2)
(.f64 (/.f64 1 (.f64 a 8)) (.f64 4 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) a) -1/2)
(.f64 (/.f64 -1 (+.f64 a a)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) a) -1/2)
(.f64 (/.f64 2 (.f64 (neg.f64 a) 4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) a) -1/2)
(.f64 (+.f64 (/.f64 1/4 a) (/.f64 1/4 a)) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) a) -1/2)
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) (neg.f64 (+.f64 a a))) 1)
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) a) -1/2)
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) a) -1/2)
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 (neg.f64 a))))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) a) -1/2)

eval93.0ms (0.3%)

Compiler: Compiled 6629 to 4043 computations (39% saved)

prune52.0ms (0.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	256	14	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	14	271

Error

3.9b

Counts

271 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (.f64 c (/.f64 a b))))) (*.f64 a 2))
	48.8b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 a 2))
▶	56.6b	(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 a 2))
▶	42.5b	(/.f64 (.f64 a (.f64 (/.f64 c b) -2)) (*.f64 a 2))
	44.9b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
	44.5b	(/.f64 (.f64 -2 (.f64 c (/.f64 a b))) (*.f64 a 2))
▶	48.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
	43.6b	(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
▶	36.7b	(.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a) 1/2)
	37.2b	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
	54.6b	(.f64 -1/2 (+.f64 (/.f64 b a) (sqrt.f64 (.f64 -4 (/.f64 c a)))))
	54.6b	(.f64 -1/2 (sqrt.f64 (.f64 -4 (/.f64 c a))))
	38.6b	(neg.f64 (/.f64 c b))
▶	43.5b	(neg.f64 (/.f64 b a))

Compiler

Compiled 386 to 276 computations (28.5% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
	1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
	2.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
	24.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 85 to 36 computations (57.6% saved)

series3.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`rational.json-1`
1926×	`rational.json-2`
1926×	`rational.json-3`
1114×	`rational.json-simplify-35`
790×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	107	45
2	269	45
3	695	45
4	2136	45
5	6428	45

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)

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

Outputs

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

simplify149.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

974×	`rational.json-simplify-59`
806×	`rational.json-simplify-35`
732×	`rational.json-simplify-1`
704×	`rational.json-simplify-19`
666×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	2521
1	306	2459
2	587	2417
3	982	2411
4	1866	2411
5	4921	2411
6	6576	2411
7	7892	2411

Stop Event

1×	node limit

Counts

47 → 90

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 -1 (sqrt.f64 (.f64 -4 (/.f64 c a))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 (/.f64 b a)))
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -4 (/.f64 c a)))) (*.f64 -1 (/.f64 b a)))
(.f64 -1 (+.f64 (/.f64 b a) (sqrt.f64 (.f64 (/.f64 c a) -4))))
(.f64 -1 (+.f64 (sqrt.f64 (.f64 (/.f64 c a) -4)) (/.f64 b a)))
(neg.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) -4)) (/.f64 b a)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1 (/.f64 b a)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -4 (/.f64 c a)))) (+.f64 (.f64 -1 (/.f64 b a)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1 (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) -4)))))
(+.f64 (.f64 -1 (+.f64 (sqrt.f64 (.f64 (/.f64 c a) -4)) (/.f64 b a))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 (.f64 (/.f64 c a) -4)) (/.f64 b a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 (.f64 (/.f64 c a) -4)) (/.f64 b a))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 (.f64 (/.f64 c a) -4)) (/.f64 b a))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1 (/.f64 b a)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -4 (/.f64 c a)))) (+.f64 (+.f64 (.f64 -1 (/.f64 b a)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (*.f64 (/.f64 (pow.f64 b 4) (sqrt.f64 -64)) 1/8))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1 (+.f64 (/.f64 b a) (sqrt.f64 (.f64 (/.f64 c a) -4))))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))))
(+.f64 (+.f64 (.f64 -1 (+.f64 (sqrt.f64 (.f64 (/.f64 c a) -4)) (/.f64 b a))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 (.f64 (/.f64 c a) -4)) (/.f64 b a))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 (.f64 (/.f64 c a) -4)) (/.f64 b a))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))))
(+.f64 (+.f64 (neg.f64 (+.f64 (sqrt.f64 (.f64 (/.f64 c a) -4)) (/.f64 b a))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))))
(*.f64 -2 (/.f64 b a))
(*.f64 (/.f64 b a) -2)
(+.f64 (.f64 -2 (/.f64 b a)) (.f64 2 (/.f64 c b)))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (/.f64 c b)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b a)) (.f64 2 (/.f64 c b))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 2 (/.f64 c b)) (.f64 2 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))))))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (+.f64 (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (/.f64 c b))))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (+.f64 (/.f64 c b) (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))))))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (+.f64 (/.f64 c b) (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b a)) (+.f64 (.f64 2 (/.f64 c b)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(+.f64 (.f64 2 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) (+.f64 (.f64 2 (/.f64 c b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 (/.f64 b a) -2))))
(+.f64 (.f64 a (.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) 2)) (+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 2 (/.f64 c b)) (.f64 4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 2 (+.f64 (/.f64 c b) (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 5)) (.f64 4 (pow.f64 c 3))) (.f64 2 (+.f64 (/.f64 c b) (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 (pow.f64 c 3) (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 2 (+.f64 (/.f64 c b) (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 c b))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -2 (/.f64 c b)) (.f64 -2 (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))))
(.f64 -2 (+.f64 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (/.f64 c b)))
(.f64 -2 (+.f64 (/.f64 c b) (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))))
(.f64 -2 (+.f64 (/.f64 c b) (/.f64 (.f64 a (pow.f64 c 2)) (pow.f64 b 3))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -2 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -2 (/.f64 c b))))
(+.f64 (.f64 -4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 -2 (+.f64 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (/.f64 c b))))
(+.f64 (.f64 -2 (+.f64 (/.f64 c b) (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))))) (.f64 -4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))))
(+.f64 (.f64 -2 (+.f64 (/.f64 c b) (/.f64 (.f64 a (pow.f64 c 2)) (pow.f64 b 3)))) (.f64 -4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))))))
(+.f64 (.f64 -2 (/.f64 c b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 4 (pow.f64 (pow.f64 (.f64 c a) 2) 2)) (.f64 16 (pow.f64 (.f64 c a) 4))) (.f64 a (pow.f64 b 7)))) (.f64 -2 (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))))))
(+.f64 (+.f64 (.f64 -4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 4 (pow.f64 (.f64 c a) 4)) (.f64 16 (pow.f64 (.f64 c a) 4))) (.f64 a (pow.f64 b 7))))) (.f64 -2 (+.f64 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (/.f64 c b))))
(+.f64 (.f64 -2 (+.f64 (/.f64 c b) (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))))) (+.f64 (.f64 -4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) (.f64 a (pow.f64 b 7))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 c b) (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))))) (+.f64 (.f64 -4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 -1/2 (.f64 20 (/.f64 (pow.f64 (.f64 c a) 4) (.f64 a (pow.f64 b 7)))))))
(+.f64 (.f64 -2 (+.f64 (/.f64 c b) (/.f64 (.f64 a (pow.f64 c 2)) (pow.f64 b 3)))) (+.f64 (.f64 -4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 -1/2 (.f64 20 (/.f64 (pow.f64 (.f64 c a) 4) (.f64 a (pow.f64 b 7)))))))
(*.f64 -2 (/.f64 b a))
(*.f64 (/.f64 b a) -2)
(+.f64 (.f64 -2 (/.f64 b a)) (.f64 2 (/.f64 c b)))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (/.f64 c b)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b a)) (.f64 2 (/.f64 c b))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 2 (/.f64 c b)) (.f64 2 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))))))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (+.f64 (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (/.f64 c b))))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (+.f64 (/.f64 c b) (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))))))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (+.f64 (/.f64 c b) (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b a)) (+.f64 (.f64 2 (/.f64 c b)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(+.f64 (.f64 2 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) (+.f64 (.f64 2 (/.f64 c b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 (/.f64 b a) -2))))
(+.f64 (.f64 a (.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) 2)) (+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 2 (/.f64 c b)) (.f64 4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 2 (+.f64 (/.f64 c b) (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 5)) (.f64 4 (pow.f64 c 3))) (.f64 2 (+.f64 (/.f64 c b) (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 (pow.f64 c 3) (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 2 (+.f64 (/.f64 c b) (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 b a))
(*.f64 (/.f64 b a) -2)
(+.f64 (.f64 -2 (/.f64 b a)) (.f64 2 (/.f64 c b)))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (/.f64 c b)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b a)) (.f64 2 (/.f64 c b))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 2 (/.f64 c b)) (.f64 2 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))))))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (+.f64 (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (/.f64 c b))))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (+.f64 (/.f64 c b) (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3))))))
(+.f64 (.f64 (/.f64 b a) -2) (.f64 2 (+.f64 (/.f64 c b) (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b a)) (+.f64 (.f64 2 (/.f64 c b)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(+.f64 (.f64 2 (.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) (+.f64 (.f64 2 (/.f64 c b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 (/.f64 b a) -2))))
(+.f64 (.f64 a (.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) 2)) (+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 2 (/.f64 c b)) (.f64 4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 4 (.f64 (pow.f64 c 3) (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 2 (+.f64 (/.f64 c b) (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 5)) (.f64 4 (pow.f64 c 3))) (.f64 2 (+.f64 (/.f64 c b) (*.f64 a (/.f64 (pow.f64 c 2) (pow.f64 b 3)))))))
(+.f64 (.f64 (/.f64 b a) -2) (+.f64 (.f64 (pow.f64 c 3) (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 5)))) (.f64 2 (+.f64 (/.f64 c b) (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))))))
(+.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a) 0)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(+.f64 0 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(-.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a) 0)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a) 1)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 1 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 -1 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 a))
(.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) 2) (/.f64 1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) 2) (.f64 (/.f64 1 a) 1/2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 2 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (+.f64 a a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 2 (/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a) 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 2 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) (/.f64 2 a)) 1/2)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (.f64 4 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (/.f64 2 (.f64 a 8)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (/.f64 1 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 -1 a))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 c 4))))) (/.f64 -1 a))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (/.f64 -1 a))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1 a))
(.f64 (/.f64 1/2 a) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 1/2 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) (/.f64 2 a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (.f64 (/.f64 1 a) 1/2) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a) -1)
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 a))
(.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (+.f64 a a)) 2)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a) 2) 2)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (/.f64 2 (.f64 a 8)) (.f64 4 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(.f64 (/.f64 -1 a) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 c 4))))) (/.f64 -1 a))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (/.f64 -1 a))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1 a))
(.f64 (+.f64 (/.f64 1/2 a) (/.f64 1/2 a)) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(pow.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a) 1)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) a)
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 4))))) a))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))) a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) (neg.f64 a))

localize4.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

localize8.0ms (0%)

Compiler: Compiled 25 to 11 computations (56% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 c b) -2)
✓	5.5b	(.f64 a (.f64 (/.f64 c b) -2))
✓	10.5b	(/.f64 (.f64 a (.f64 (/.f64 c b) -2)) (*.f64 a 2))

Compiler

Compiled 37 to 19 computations (48.6% saved)

series11.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(.f64 a (.f64 (/.f64 c b) -2))
1.0ms	a	@	0	(/.f64 (.f64 a (.f64 (/.f64 c b) -2)) (*.f64 a 2))
1.0ms	c	@	0	(.f64 a (.f64 (/.f64 c b) -2))
1.0ms	b	@	inf	(.f64 a (.f64 (/.f64 c b) -2))
1.0ms	c	@	inf	(/.f64 (.f64 a (.f64 (/.f64 c b) -2)) (*.f64 a 2))

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`exponential.json-3`
1486×	`rational.json-1`
1486×	`rational.json-2`
1486×	`rational.json-4`
1486×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	89	63
2	264	57
3	929	43
4	4433	43

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs
(/.f64 (.f64 a (.f64 (/.f64 c b) -2)) (*.f64 a 2))
(.f64 a (.f64 (/.f64 c b) -2))
(*.f64 (/.f64 c b) -2)

Outputs

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

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1420×	`rational.json-simplify-2`
936×	`rational.json-simplify-35`
736×	`rational.json-simplify-39`
532×	`rational.json-simplify-51`
530×	`rational.json-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	4356
1	1026	4258
2	3613	4218
3	6809	4218

Stop Event

1×	node limit

Counts

286 → 228

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
✓	0.5b	(.f64 c (.f64 a -4))
✓	16.5b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 42 to 29 computations (31% saved)

series8.0ms (0%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
1.0ms	c	@	0	(sqrt.f64 (.f64 c (.f64 a -4)))
1.0ms	a	@	0	(sqrt.f64 (.f64 c (.f64 a -4)))
0.0ms	c	@	inf	(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
0.0ms	a	@	0	(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational.json-1`
1236×	`rational.json-2`
1236×	`rational.json-4`
1236×	`rational.json-3`
1222×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	94	63
2	245	59
3	711	59
4	2339	59
5	5011	59

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs
(sqrt.f64 (.f64 c (.f64 a -4)))
(.f64 c (.f64 a -4))
(/.f64 (neg.f64 (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))

Outputs

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

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

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

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1702×	`rational.json-simplify-35`
1296×	`rational.json-simplify-53`
1178×	`rational.json-simplify-51`
962×	`rational.json-simplify-2`
954×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	162	2374
1	350	2362
2	1056	2362
3	2825	2362
4	6035	2362

Stop Event

1×	node limit

Counts

114 → 97

Calls

Call 1

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

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

eval166.0ms (0.6%)

Compiler: Compiled 11072 to 6871 computations (37.9% saved)

prune127.0ms (0.5%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	577	14	591
Fresh	1	8	9
Picked	1	0	1
Done	2	2	4
Total	581	24	605

Error

3.9b

Counts

605 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	44.7b	(/.f64 (/.f64 c (/.f64 (/.f64 b a) -2)) (*.f64 a 2))
	43.8b	(/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (.f64 c (/.f64 a b))))) (*.f64 a 2))
	48.8b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 a 2))
✓	56.6b	(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 a 2))
	52.1b	(/.f64 (.f64 a (/.f64 (.f64 (/.f64 b c) -2) (.f64 (/.f64 b c) (/.f64 b c)))) (.f64 a 2))
	47.9b	(/.f64 (.f64 a (/.f64 (neg.f64 (/.f64 c (.f64 a b))) (/.f64 1/2 a))) (*.f64 a 2))
▶	44.9b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
	44.5b	(/.f64 (.f64 -2 (.f64 c (/.f64 a b))) (*.f64 a 2))
	48.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 a 2))
▶	38.6b	(/.f64 c (neg.f64 b))
	43.6b	(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
▶	42.5b	(.f64 (/.f64 (.f64 a (/.f64 c b)) a) -1)
	48.3b	(.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a) -1/2)
	44.5b	(.f64 (/.f64 c (.f64 a b)) (neg.f64 a))
	38.6b	(.f64 (/.f64 c b) (.f64 (/.f64 1 a) (neg.f64 a)))
	42.5b	(.f64 (/.f64 1/2 a) (.f64 a (*.f64 (/.f64 c b) -2)))
	42.5b	(.f64 (/.f64 -1 a) (.f64 a (/.f64 c b)))
▶	37.2b	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
	42.6b	(.f64 (.f64 (/.f64 1/2 a) (*.f64 -2 (/.f64 a b))) c)
	47.8b	(.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) (/.f64 -1/2 a))
	38.7b	(*.f64 c (neg.f64 (/.f64 1 b)))
	54.6b	(.f64 -1/2 (+.f64 (/.f64 b a) (sqrt.f64 (.f64 -4 (/.f64 c a)))))
▶	54.6b	(.f64 -1/2 (sqrt.f64 (.f64 -4 (/.f64 c a))))
✓	43.5b	(neg.f64 (/.f64 b a))

Compiler

Compiled 631 to 443 computations (29.8% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 c (.f64 a 4))
✓	1.0b	(-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))
✓	2.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
✓	24.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series5.0ms (0%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	c	@	inf	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
0.0ms	c	@	-inf	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
0.0ms	a	@	-inf	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
0.0ms	b	@	-inf	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
0.0ms	a	@	inf	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`rational.json-1`
1262×	`rational.json-2`
1262×	`rational.json-4`
1262×	`rational.json-3`
1256×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	102
1	86	102
2	184	102
3	438	102
4	1402	102
5	4383	102

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
(-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))
(.f64 c (.f64 a 4))

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

simplify179.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

974×	`rational.json-simplify-51`
914×	`rational.json-simplify-2`
860×	`rational.json-simplify-19`
792×	`rational.json-simplify-35`
734×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	5199
1	483	4991
2	1062	4967
3	2401	4967
4	5188	4967
5	7219	4967

Stop Event

1×	node limit

Counts

165 → 166

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))) (+.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -1024))))))
(+.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -1024))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -1024))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))))
(+.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))) (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 5))) (/.f64 (pow.f64 b 6) (sqrt.f64 -1024))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (.f64 -2 (.f64 a (/.f64 c b))))
(+.f64 b (.f64 a (.f64 (/.f64 c b) -2)))
(+.f64 b (.f64 c (.f64 (/.f64 a b) -2)))
(+.f64 b (.f64 c (.f64 -2 (/.f64 a b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (+.f64 b (.f64 -2 (.f64 a (/.f64 c b)))) (.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))
(+.f64 b (.f64 -2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (*.f64 c (/.f64 a b)))))
(+.f64 b (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -2 (.f64 a (/.f64 c b))) (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (+.f64 b (.f64 -2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (*.f64 c (/.f64 a b))))))
(+.f64 b (+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))))))
(+.f64 (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (+.f64 b (.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (neg.f64 b) (.f64 2 (.f64 a (/.f64 c b))))
(+.f64 (neg.f64 b) (.f64 a (.f64 (/.f64 c b) 2)))
(+.f64 (neg.f64 b) (.f64 (/.f64 c b) (.f64 a 2)))
(+.f64 (neg.f64 b) (*.f64 (+.f64 a a) (/.f64 c b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (.f64 a (/.f64 c b))) (+.f64 (neg.f64 b) (.f64 2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (neg.f64 b) (.f64 2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (*.f64 c (/.f64 a b)))))
(+.f64 (neg.f64 b) (.f64 2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(+.f64 (.f64 2 (.f64 a (/.f64 c b))) (+.f64 (.f64 2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (neg.f64 b) (.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 (+.f64 (neg.f64 b) (.f64 2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (.f64 c (/.f64 a b))))) (.f64 4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))))
(+.f64 (+.f64 (neg.f64 b) (.f64 2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))) (.f64 4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))))
(+.f64 (neg.f64 b) (+.f64 (.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))))))
(+.f64 (.f64 2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (+.f64 (neg.f64 b) (.f64 4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (.f64 -2 (.f64 a (/.f64 c b))))
(+.f64 b (.f64 a (.f64 (/.f64 c b) -2)))
(+.f64 b (.f64 c (.f64 (/.f64 a b) -2)))
(+.f64 b (.f64 c (.f64 -2 (/.f64 a b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (+.f64 b (.f64 -2 (.f64 a (/.f64 c b)))) (.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))
(+.f64 b (.f64 -2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (*.f64 c (/.f64 a b)))))
(+.f64 b (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -2 (.f64 a (/.f64 c b))) (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (+.f64 b (.f64 -2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (*.f64 c (/.f64 a b))))))
(+.f64 b (+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))))))
(+.f64 (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (+.f64 b (.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (.f64 -2 (.f64 a (/.f64 c b))))
(+.f64 b (.f64 a (.f64 (/.f64 c b) -2)))
(+.f64 b (.f64 c (.f64 (/.f64 a b) -2)))
(+.f64 b (.f64 c (.f64 -2 (/.f64 a b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (+.f64 b (.f64 -2 (.f64 a (/.f64 c b)))) (.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))
(+.f64 b (.f64 -2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (*.f64 c (/.f64 a b)))))
(+.f64 b (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -2 (.f64 a (/.f64 c b))) (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (+.f64 b (.f64 -2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (*.f64 c (/.f64 a b))))))
(+.f64 b (+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))))))
(+.f64 (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (+.f64 b (.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(+.f64 b (+.f64 (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64))))))
(+.f64 b (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (sqrt.f64 -64)))) (+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (.f64 a (/.f64 c b))) (*.f64 b 2))
(+.f64 (.f64 a (.f64 (/.f64 c b) -2)) (*.f64 b 2))
(+.f64 (.f64 c (.f64 (/.f64 a b) -2)) (*.f64 b 2))
(+.f64 (.f64 c (.f64 -2 (/.f64 a b))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (.f64 a (/.f64 c b))) (+.f64 (.f64 b 2) (.f64 -2 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 b 2) (.f64 -2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (.f64 c (/.f64 a b)))))
(+.f64 (.f64 b 2) (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (+.f64 (.f64 -2 (.f64 a (/.f64 c b))) (+.f64 (.f64 b 2) (.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (+.f64 (.f64 b 2) (.f64 -2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (.f64 c (/.f64 a b))))))
(+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (+.f64 (.f64 b 2) (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))))
(+.f64 (.f64 b 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))))
(+.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 b 2)) (.f64 -2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 a (/.f64 c b)))
(.f64 a (.f64 (/.f64 c b) 2))
(.f64 (/.f64 c b) (.f64 a 2))
(*.f64 (+.f64 a a) (/.f64 c b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (.f64 a (/.f64 c b))) (.f64 2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))
(.f64 2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (*.f64 c (/.f64 a b))))
(.f64 2 (+.f64 (.f64 c (/.f64 a b)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 2 (.f64 a (/.f64 c b))) (+.f64 (.f64 2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))))
(+.f64 (.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5))) (.f64 2 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (*.f64 c (/.f64 a b)))))
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(+.f64 -1 (-.f64 (-.f64 (.f64 b b) -1) (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(+.f64 (-.f64 (-.f64 (.f64 b b) -1) (.f64 c (*.f64 a 4))) -1)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(+.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))) 2) (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))) 2))
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(+.f64 (-.f64 -1 (.f64 c (.f64 a 4))) (-.f64 1 (*.f64 b (neg.f64 b))))
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))) 1)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(.f64 1 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(.f64 2 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))) 2))
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(.f64 (.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))) 2) 1/2)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(.f64 (-.f64 (.f64 c (.f64 a 4)) (.f64 b b)) -1)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(.f64 -1 (-.f64 (.f64 c (.f64 a 4)) (.f64 b b)))
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(.f64 1/2 (.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))) 2))
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))) 2) 2)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(/.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))) 1)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))) 2) 2)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(/.f64 (-.f64 (.f64 c (.f64 a 4)) (*.f64 b b)) -1)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(/.f64 (.f64 4 (-.f64 (.f64 b b) (.f64 c (.f64 a 4)))) 4)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(/.f64 (.f64 2 (.f64 4 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))) 8)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(/.f64 (.f64 2 (-.f64 (.f64 c (.f64 a 4)) (.f64 b b))) -2)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (-.f64 (.f64 b b) (.f64 c (.f64 a 4)))))) 16)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(pow.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))) 1)
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(neg.f64 (-.f64 (.f64 c (.f64 a 4)) (*.f64 b b)))
(+.f64 (.f64 b b) (neg.f64 (.f64 c (*.f64 a 4))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))
(+.f64 (.f64 c (.f64 a 4)) 0)
(.f64 c (.f64 a 4))
(+.f64 0 (.f64 c (.f64 a 4)))
(.f64 c (.f64 a 4))
(+.f64 (.f64 c (+.f64 a a)) (.f64 c (+.f64 a a)))
(.f64 c (.f64 a 4))
(+.f64 (/.f64 (.f64 a (.f64 c 8)) 4) (/.f64 (.f64 a (.f64 c 8)) 4))
(.f64 c (.f64 a 4))
(-.f64 (.f64 c (.f64 a 4)) 0)
(.f64 c (.f64 a 4))
(/.f64 (.f64 c (.f64 a 4)) 1)
(.f64 c (.f64 a 4))
(/.f64 (.f64 a (.f64 c 8)) 2)
(.f64 c (.f64 a 4))
(/.f64 (.f64 c (.f64 a 16)) 4)
(.f64 c (.f64 a 4))
(/.f64 (.f64 2 (.f64 c (*.f64 a 16))) 8)
(.f64 c (.f64 a 4))
(/.f64 (.f64 2 (.f64 2 (.f64 c (.f64 a 16)))) 16)
(.f64 c (.f64 a 4))
(pow.f64 (.f64 c (.f64 a 4)) 1)
(.f64 c (.f64 a 4))

localize5.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 a (/.f64 c b))
✓	10.3b	(/.f64 (*.f64 a (/.f64 c b)) a)

Compiler

Compiled 31 to 9 computations (71% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite213.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`rational.json-simplify-50`
1182×	`exponential.json-3`
1182×	`rational.json-1`
1182×	`rational.json-2`
1182×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	59	32
2	180	20
3	586	20
4	2831	20

Stop Event

1×	node limit

Counts

2 → 517

Calls

Call 1

Inputs
(/.f64 (*.f64 a (/.f64 c b)) a)
(*.f64 a (/.f64 c b))

Outputs

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

simplify405.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational.json-simplify-35`
1210×	`rational.json-simplify-55`
1194×	`rational.json-simplify-43`
1142×	`rational.json-simplify-50`
966×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	1251	22155
1	4225	21789
2	6389	21229
3	7851	21139

Stop Event

1×	node limit

Counts

589 → 1226

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -2 (/.f64 (.f64 c a) b))
✓	6.9b	(/.f64 (*.f64 c a) b)
✓	10.5b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

27 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`exponential.json-3`
1716×	`rational.json-1`
1716×	`rational.json-2`
1716×	`rational.json-4`
1716×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	89	57
2	269	57
3	950	55
4	4599	55

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs
(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
(/.f64 (*.f64 c a) b)
(.f64 -2 (/.f64 (.f64 c a) b))

Outputs

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

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

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

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-54`
1376×	`rational.json-simplify-2`
956×	`rational.json-simplify-49`
872×	`exponential.json-simplify-26`
688×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	276	2582
1	681	2334
2	1686	2334
3	4623	2334

Stop Event

1×	node limit

Counts

176 → 159

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -4 (/.f64 c a))
✓	10.9b	(sqrt.f64 (*.f64 -4 (/.f64 c a)))

Compiler

Compiled 29 to 16 computations (44.8% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

12 calls:

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

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1302×	`rational.json-1`
1302×	`rational.json-2`
1302×	`rational.json-4`
1302×	`rational.json-3`
1294×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	60	30
2	142	30
3	339	30
4	870	30
5	3546	30

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 -4 (/.f64 c a)))
(*.f64 -4 (/.f64 c a))

Outputs

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

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

simplify248.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

3540×	`rational.json-simplify-51`
2378×	`rational.json-simplify-35`
2236×	`rational.json-simplify-49`
1044×	`rational.json-simplify-2`
990×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	470
1	126	470
2	347	470
3	885	470
4	1985	470
5	3053	470
6	3630	470
7	3825	470
8	3997	470
9	4138	470
10	4276	470
11	4409	470
12	4549	470
13	4549	470
14	4682	470

Stop Event

1×	node limit

Counts

30 → 32

Calls

Call 1

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

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

eval401.0ms (1.5%)

Compiler: Compiled 28302 to 15820 computations (44.1% saved)

prune503.0ms (1.9%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1559	24	1583
Fresh	8	9	17
Picked	0	1	1
Done	3	3	6
Total	1570	37	1607

Error

3.9b

Counts

1607 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	52.1b	(/.f64 (.f64 a (/.f64 (.f64 (/.f64 b c) -2) (.f64 (/.f64 b c) (/.f64 b c)))) (.f64 a 2))
	48.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 a 2))
✓	38.6b	(/.f64 c (neg.f64 b))
	43.6b	(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
	44.7b	(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) -1)
▶	42.6b	(*.f64 (/.f64 (/.f64 a (/.f64 b c)) a) -1)
	44.1b	(.f64 (/.f64 (.f64 (/.f64 1/2 b) (/.f64 c (neg.f64 a))) (/.f64 -1/2 a)) -1)
	48.3b	(.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a) -1/2)
	44.5b	(.f64 (/.f64 c (.f64 a b)) (neg.f64 a))
▶	38.6b	(.f64 (/.f64 c b) (.f64 a (/.f64 -1 a)))
	44.4b	(*.f64 (/.f64 a b) (/.f64 c (neg.f64 a)))
	43.3b	(.f64 (/.f64 1 b) (/.f64 (.f64 c a) (neg.f64 a)))
	42.5b	(.f64 (/.f64 1/2 a) (.f64 a (*.f64 (/.f64 c b) -2)))
	49.0b	(.f64 (+.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 -1/2 a))
▶	43.8b	(.f64 (+.f64 b (+.f64 b (.f64 c (*.f64 (/.f64 a b) -2)))) (/.f64 -1/2 a))
✓	37.2b	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
	56.6b	(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
	43.5b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	53.0b	(.f64 (.f64 (/.f64 (/.f64 c (+.f64 a a)) a) (/.f64 a (/.f64 b (+.f64 a a)))) -1)
	53.4b	(.f64 (.f64 (/.f64 (/.f64 c (*.f64 a b)) a) (/.f64 a (/.f64 1 a))) -1)
	44.4b	(.f64 (.f64 (/.f64 (/.f64 1 b) (/.f64 1 a)) (/.f64 c a)) -1)
	52.9b	(.f64 (.f64 (/.f64 (.f64 a 4) (/.f64 b (+.f64 a a))) (/.f64 (/.f64 c (+.f64 a a)) (.f64 a 4))) -1)
	54.5b	(.f64 (.f64 (/.f64 a (.f64 b (/.f64 (/.f64 b c) c))) (/.f64 b (.f64 a c))) -1)
	44.5b	(.f64 (.f64 (/.f64 a (*.f64 b 4)) (/.f64 (/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a)) a)) -1)
	44.4b	(.f64 (.f64 (/.f64 a (*.f64 b 4)) (/.f64 4 (/.f64 a c))) -1)
	53.0b	(.f64 (.f64 (/.f64 4 (.f64 (/.f64 a c) a)) (/.f64 a (.f64 4 (/.f64 b a)))) -1)
	50.7b	(.f64 (.f64 (/.f64 2 a) (*.f64 (/.f64 c (+.f64 a a)) (/.f64 (/.f64 (+.f64 a a) b) (/.f64 2 a)))) -1)
▶	44.5b	(.f64 (.f64 (*.f64 a (/.f64 1/2 b)) (/.f64 (/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a)) (+.f64 a a))) -1)
	51.4b	(.f64 (.f64 (.f64 a 4) (.f64 (*.f64 (/.f64 c b) a) (/.f64 (/.f64 1/2 a) (+.f64 a a)))) -1)
	43.3b	(.f64 (.f64 c (.f64 (/.f64 2 a) (/.f64 (/.f64 (+.f64 a a) a) (.f64 4 (/.f64 b a))))) -1)
	47.8b	(.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) (/.f64 -1/2 a))
	42.6b	(*.f64 c (/.f64 (/.f64 a b) (neg.f64 a)))
▶	38.7b	(*.f64 c (neg.f64 (/.f64 1 b)))
	42.3b	(*.f64 a (/.f64 (/.f64 c b) (neg.f64 a)))
	54.6b	(.f64 -1/2 (+.f64 (/.f64 b a) (sqrt.f64 (.f64 -4 (/.f64 c a)))))
✓	54.6b	(.f64 -1/2 (sqrt.f64 (.f64 -4 (/.f64 c a))))
✓	43.5b	(neg.f64 (/.f64 b a))

Compiler

Compiled 1090 to 744 computations (31.7% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 a (/.f64 -1 a))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`rational.json-1`
1554×	`rational.json-2`
1554×	`rational.json-3`
1186×	`rational.json-simplify-35`
934×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	47	13
2	130	11
3	301	11
4	843	1
5	3583	1
6	7343	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . -1)))))

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1

Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 c (neg.f64 (/.f64 1 b)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(*.f64 c (neg.f64 (/.f64 1 b)))
0.0ms	c	@	inf	(*.f64 c (neg.f64 (/.f64 1 b)))
0.0ms	c	@	-inf	(*.f64 c (neg.f64 (/.f64 1 b)))
0.0ms	b	@	-inf	(*.f64 c (neg.f64 (/.f64 1 b)))
0.0ms	b	@	inf	(*.f64 c (neg.f64 (/.f64 1 b)))

rewrite94.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`rational.json-1`
1846×	`rational.json-2`
1290×	`rational.json-simplify-35`
866×	`rational.json-simplify-2`
860×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	73	13
2	181	11
3	405	11
4	948	11
5	2980	11
6	7275	11

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

Inputs
(*.f64 c (neg.f64 (/.f64 1 b)))

Outputs

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-49`
1168×	`rational.json-simplify-35`
1102×	`rational.json-simplify-1`
678×	`rational.json-simplify-46`
668×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	957
1	462	957
2	1384	957
3	4824	957
4	7252	957

Stop Event

1×	node limit

Counts

87 → 64

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(+.f64 (/.f64 c (neg.f64 b)) 0)
(+.f64 0 (/.f64 c (neg.f64 b)))
(+.f64 -1 (-.f64 1 (/.f64 c b)))
(+.f64 (.f64 c (/.f64 -1/2 b)) (.f64 c (/.f64 -1/2 b)))
(-.f64 (/.f64 c (neg.f64 b)) 0)
(-.f64 0 (/.f64 c b))
(/.f64 c (neg.f64 b))
(/.f64 c (/.f64 (*.f64 b b) (neg.f64 b)))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 (/.f64 c (neg.f64 b)) 1)
(/.f64 -1 (/.f64 b c))
(/.f64 -1 (-.f64 0 (/.f64 (neg.f64 b) c)))
(/.f64 2 (*.f64 -2 (/.f64 b c)))
(/.f64 -2 (/.f64 (+.f64 b b) c))
(/.f64 -2 (+.f64 (/.f64 b c) (/.f64 b c)))
(/.f64 -2 (-.f64 0 (*.f64 -2 (/.f64 b c))))
(/.f64 4 (.f64 2 (.f64 -2 (/.f64 b c))))
(/.f64 4 (/.f64 (*.f64 b -4) c))
(/.f64 (/.f64 (*.f64 c -2) b) 2)
(/.f64 (+.f64 c c) (*.f64 b -2))
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) (/.f64 (*.f64 b b) b))
(/.f64 (neg.f64 c) (/.f64 (neg.f64 (*.f64 (neg.f64 b) 8)) 8))
(/.f64 -4 (/.f64 (*.f64 b 4) c))
(/.f64 -4 (+.f64 (/.f64 (+.f64 b b) c) (/.f64 (+.f64 b b) c)))
(/.f64 8 (/.f64 (*.f64 b 8) (neg.f64 c)))
(/.f64 8 (+.f64 (/.f64 (.f64 b -4) c) (/.f64 (.f64 b -4) c)))
(/.f64 8 (+.f64 (.f64 2 (.f64 -2 (/.f64 b c))) (.f64 2 (.f64 -2 (/.f64 b c)))))
(/.f64 (*.f64 -4 (/.f64 c b)) 4)
(/.f64 (.f64 c 4) (.f64 b -4))
(/.f64 (/.f64 c b) -1)
(/.f64 16 (+.f64 (/.f64 (.f64 b 8) (neg.f64 c)) (/.f64 (.f64 b 8) (neg.f64 c))))
(/.f64 -8 (+.f64 (/.f64 (.f64 b 4) c) (/.f64 (.f64 b 4) c)))
(/.f64 (*.f64 c -2) (+.f64 b b))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) 8) 8)
(/.f64 (.f64 c 8) (.f64 (neg.f64 b) 8))
(/.f64 (*.f64 c (/.f64 2 b)) -2)
(/.f64 (.f64 c 1/2) (.f64 b -1/2))
(/.f64 (.f64 c 1/2) (/.f64 (.f64 b b) (*.f64 b -2)))
(/.f64 (*.f64 c (/.f64 -1/2 b)) 1/2)
(/.f64 (.f64 2 (.f64 (/.f64 c (neg.f64 b)) 8)) 16)
(/.f64 (.f64 2 (.f64 c 8)) (.f64 -2 (.f64 b 8)))
(/.f64 (.f64 c -4) (.f64 b 4))
(/.f64 (*.f64 c (/.f64 1/2 b)) -1/2)
(/.f64 (neg.f64 (.f64 c 1/2)) (-.f64 0 (.f64 b -1/2)))
(/.f64 (neg.f64 (.f64 c 4)) (.f64 b 4))
(/.f64 (neg.f64 (.f64 c 8)) (-.f64 0 (.f64 (neg.f64 b) 8)))
(/.f64 (/.f64 (*.f64 c 8) (neg.f64 b)) 8)
(/.f64 (/.f64 (neg.f64 c) 2) (*.f64 b 1/2))
(/.f64 (/.f64 c (*.f64 b -4)) 1/4)
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b))
(/.f64 (+.f64 (.f64 c (/.f64 2 b)) (.f64 c (/.f64 2 b))) -4)
(/.f64 (+.f64 (/.f64 (.f64 c 8) (neg.f64 b)) (/.f64 (.f64 c 8) (neg.f64 b))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 c (neg.f64 b)) 8)) (.f64 2 (.f64 (/.f64 c (neg.f64 b)) 8))) 32)
(/.f64 (+.f64 (/.f64 (neg.f64 c) 2) (/.f64 (neg.f64 c) 2)) b)
(/.f64 (+.f64 (.f64 c (/.f64 1/2 b)) (.f64 c (/.f64 1/2 b))) -1)
(/.f64 (+.f64 (/.f64 c (.f64 b -4)) (/.f64 c (.f64 b -4))) 1/2)
(/.f64 (+.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c))) (*.f64 b -2))
(/.f64 (neg.f64 (.f64 c -2)) (.f64 b -2))
(/.f64 (neg.f64 (/.f64 (neg.f64 c) 2)) (-.f64 0 (*.f64 b 1/2)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) b)
(pow.f64 (/.f64 c (neg.f64 b)) 1)
(neg.f64 (/.f64 c b))

Outputs
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(*.f64 -1 (/.f64 c b))
(/.f64 c (neg.f64 b))
(+.f64 (/.f64 c (neg.f64 b)) 0)
(/.f64 c (neg.f64 b))
(+.f64 0 (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
(+.f64 -1 (-.f64 1 (/.f64 c b)))
(/.f64 c (neg.f64 b))
(+.f64 (.f64 c (/.f64 -1/2 b)) (.f64 c (/.f64 -1/2 b)))
(/.f64 c (neg.f64 b))
(-.f64 (/.f64 c (neg.f64 b)) 0)
(/.f64 c (neg.f64 b))
(-.f64 0 (/.f64 c b))
(/.f64 c (neg.f64 b))
(/.f64 c (neg.f64 b))
(/.f64 c (/.f64 (*.f64 b b) (neg.f64 b)))
(/.f64 c (neg.f64 b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 c (neg.f64 b))
(/.f64 (/.f64 c (neg.f64 b)) 1)
(/.f64 c (neg.f64 b))
(/.f64 -1 (/.f64 b c))
(/.f64 c (neg.f64 b))
(/.f64 -1 (-.f64 0 (/.f64 (neg.f64 b) c)))
(/.f64 c (neg.f64 b))
(/.f64 2 (*.f64 -2 (/.f64 b c)))
(/.f64 c (neg.f64 b))
(/.f64 -2 (/.f64 (+.f64 b b) c))
(/.f64 c (neg.f64 b))
(/.f64 -2 (+.f64 (/.f64 b c) (/.f64 b c)))
(/.f64 c (neg.f64 b))
(/.f64 -2 (-.f64 0 (*.f64 -2 (/.f64 b c))))
(/.f64 c (neg.f64 b))
(/.f64 4 (.f64 2 (.f64 -2 (/.f64 b c))))
(/.f64 c (neg.f64 b))
(/.f64 4 (/.f64 (*.f64 b -4) c))
(/.f64 c (neg.f64 b))
(/.f64 (/.f64 (*.f64 c -2) b) 2)
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 c c) (*.f64 b -2))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) b)
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) (/.f64 (*.f64 b b) b))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 c) (/.f64 (neg.f64 (*.f64 (neg.f64 b) 8)) 8))
(/.f64 c (neg.f64 b))
(/.f64 -4 (/.f64 (*.f64 b 4) c))
(/.f64 c (neg.f64 b))
(/.f64 -4 (+.f64 (/.f64 (+.f64 b b) c) (/.f64 (+.f64 b b) c)))
(/.f64 c (neg.f64 b))
(/.f64 8 (/.f64 (*.f64 b 8) (neg.f64 c)))
(/.f64 c (neg.f64 b))
(/.f64 8 (+.f64 (/.f64 (.f64 b -4) c) (/.f64 (.f64 b -4) c)))
(/.f64 c (neg.f64 b))
(/.f64 8 (+.f64 (.f64 2 (.f64 -2 (/.f64 b c))) (.f64 2 (.f64 -2 (/.f64 b c)))))
(/.f64 c (neg.f64 b))
(/.f64 (*.f64 -4 (/.f64 c b)) 4)
(/.f64 c (neg.f64 b))
(/.f64 (.f64 c 4) (.f64 b -4))
(/.f64 c (neg.f64 b))
(/.f64 (/.f64 c b) -1)
(/.f64 c (neg.f64 b))
(/.f64 16 (+.f64 (/.f64 (.f64 b 8) (neg.f64 c)) (/.f64 (.f64 b 8) (neg.f64 c))))
(/.f64 c (neg.f64 b))
(/.f64 -8 (+.f64 (/.f64 (.f64 b 4) c) (/.f64 (.f64 b 4) c)))
(/.f64 c (neg.f64 b))
(/.f64 (*.f64 c -2) (+.f64 b b))
(/.f64 c (neg.f64 b))
(/.f64 (*.f64 (/.f64 c (neg.f64 b)) 8) 8)
(/.f64 c (neg.f64 b))
(/.f64 (.f64 c 8) (.f64 (neg.f64 b) 8))
(/.f64 c (neg.f64 b))
(/.f64 (*.f64 c (/.f64 2 b)) -2)
(/.f64 c (neg.f64 b))
(/.f64 (.f64 c 1/2) (.f64 b -1/2))
(/.f64 c (neg.f64 b))
(/.f64 (.f64 c 1/2) (/.f64 (.f64 b b) (*.f64 b -2)))
(/.f64 c (neg.f64 b))
(/.f64 (*.f64 c (/.f64 -1/2 b)) 1/2)
(/.f64 c (neg.f64 b))
(/.f64 (.f64 2 (.f64 (/.f64 c (neg.f64 b)) 8)) 16)
(/.f64 c (neg.f64 b))
(/.f64 (.f64 2 (.f64 c 8)) (.f64 -2 (.f64 b 8)))
(/.f64 c (neg.f64 b))
(/.f64 (.f64 c -4) (.f64 b 4))
(/.f64 c (neg.f64 b))
(/.f64 (*.f64 c (/.f64 1/2 b)) -1/2)
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 (.f64 c 1/2)) (-.f64 0 (.f64 b -1/2)))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 (.f64 c 4)) (.f64 b 4))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 (.f64 c 8)) (-.f64 0 (.f64 (neg.f64 b) 8)))
(/.f64 c (neg.f64 b))
(/.f64 (/.f64 (*.f64 c 8) (neg.f64 b)) 8)
(/.f64 c (neg.f64 b))
(/.f64 (/.f64 (neg.f64 c) 2) (*.f64 b 1/2))
(/.f64 c (neg.f64 b))
(/.f64 (/.f64 c (*.f64 b -4)) 1/4)
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b))
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 (.f64 c (/.f64 2 b)) (.f64 c (/.f64 2 b))) -4)
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 (/.f64 (.f64 c 8) (neg.f64 b)) (/.f64 (.f64 c 8) (neg.f64 b))) 16)
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 c (neg.f64 b)) 8)) (.f64 2 (.f64 (/.f64 c (neg.f64 b)) 8))) 32)
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 (/.f64 (neg.f64 c) 2) (/.f64 (neg.f64 c) 2)) b)
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 (.f64 c (/.f64 1/2 b)) (.f64 c (/.f64 1/2 b))) -1)
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 (/.f64 c (.f64 b -4)) (/.f64 c (.f64 b -4))) 1/2)
(/.f64 c (neg.f64 b))
(/.f64 (+.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c))) (*.f64 b -2))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 (.f64 c -2)) (.f64 b -2))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (neg.f64 c) 2)) (-.f64 0 (*.f64 b 1/2)))
(/.f64 c (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) b)
(/.f64 c (neg.f64 b))
(pow.f64 (/.f64 c (neg.f64 b)) 1)
(/.f64 c (neg.f64 b))
(neg.f64 (/.f64 c b))
(/.f64 c (neg.f64 b))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.5b	(/.f64 a (/.f64 b c))
✓	10.3b	(/.f64 (/.f64 a (/.f64 b c)) a)

Compiler

Compiled 31 to 9 computations (71% saved)

series1.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`exponential.json-3`
1646×	`rational.json-1`
1646×	`rational.json-2`
1646×	`rational.json-4`
1646×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	64	32
2	241	20
3	1035	20
4	4208	20

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

Inputs
(/.f64 (/.f64 a (/.f64 b c)) a)
(/.f64 a (/.f64 b c))

Outputs

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

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

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-2`
1336×	`rational.json-simplify-61`
1306×	`rational.json-simplify-51`
1202×	`rational.json-simplify-35`
798×	`rational.json-simplify-54`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	2614
1	562	2602
2	1464	2542
3	4191	2542

Stop Event

1×	node limit

Counts

226 → 175

Calls

Call 1

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

Outputs
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(/.f64 c (/.f64 b a))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(/.f64 c (/.f64 b a))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(/.f64 c (/.f64 b a))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(/.f64 c (/.f64 b a))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(/.f64 c (/.f64 b a))
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(/.f64 c (/.f64 b a))
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(.f64 (.f64 a (/.f64 c a)) (/.f64 a b))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(.f64 (.f64 (/.f64 c b) 1/2) (+.f64 a a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 1 (/.f64 1 c)) (/.f64 a b))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 1 (/.f64 1 a)) (/.f64 c b))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(.f64 (/.f64 a 2) (.f64 c (/.f64 2 b)))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 a (/.f64 1 c)) (/.f64 1 b))
(*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c)))
(.f64 (.f64 c a) (/.f64 1 b))
(.f64 (/.f64 a (/.f64 1 a)) (/.f64 c (.f64 a b)))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c (/.f64 1 a)) (/.f64 1 b))
(*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c)))
(.f64 (.f64 c a) (/.f64 1 b))
(.f64 (/.f64 (.f64 a (/.f64 c b)) (/.f64 1 a)) (/.f64 1 a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 (+.f64 c c) (/.f64 1 a)) (/.f64 1/2 b))
(*.f64 (/.f64 1/2 b) (/.f64 (+.f64 c c) (/.f64 1 a)))
(*.f64 (/.f64 1/2 b) (/.f64 c (/.f64 1/2 a)))
(*.f64 (/.f64 (+.f64 a a) (/.f64 1 a)) (/.f64 (/.f64 c b) (+.f64 a a)))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 (/.f64 (+.f64 c c) (/.f64 b a)) (/.f64 1 a)) (/.f64 1/2 a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 (/.f64 a b) (/.f64 1 a)) (/.f64 c a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(.f64 (/.f64 a (.f64 b (/.f64 2 c))) 2)
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(.f64 1/4 (.f64 a (*.f64 (/.f64 c b) 4)))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(.f64 (/.f64 c 2) (.f64 a (/.f64 2 b)))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(.f64 (/.f64 c (.f64 b (/.f64 2 a))) 2)
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(.f64 (/.f64 (.f64 a (/.f64 c b)) 2) 2)
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(.f64 (/.f64 1 (.f64 (/.f64 b c) 4)) (*.f64 a 4))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(.f64 (/.f64 1 (.f64 2 (.f64 b (/.f64 2 a)))) (.f64 c 4))
(.f64 c (.f64 4 (/.f64 1/2 (*.f64 b (/.f64 2 a)))))
(.f64 c (.f64 4 (/.f64 (/.f64 1/2 b) (/.f64 2 a))))
(.f64 c (.f64 4 (/.f64 (/.f64 a b) 4)))
(.f64 4 (/.f64 c (.f64 b (/.f64 4 a))))
(.f64 (/.f64 1 (/.f64 (.f64 b 4) a)) (*.f64 c 4))
(.f64 c (.f64 4 (/.f64 1/2 (*.f64 b (/.f64 2 a)))))
(.f64 c (.f64 4 (/.f64 (/.f64 1/2 b) (/.f64 2 a))))
(.f64 c (.f64 4 (/.f64 (/.f64 a b) 4)))
(.f64 4 (/.f64 c (.f64 b (/.f64 4 a))))
(.f64 (/.f64 2 (/.f64 (.f64 b 4) a)) (+.f64 c c))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 1 (/.f64 b (neg.f64 c))) (neg.f64 a))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 1 (/.f64 b (neg.f64 a))) (neg.f64 c))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 1 (neg.f64 (/.f64 b a))) (neg.f64 c))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(pow.f64 (*.f64 a (/.f64 c b)) 1)
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(neg.f64 (*.f64 c (/.f64 a (neg.f64 b))))
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 a b) -2)
✓	0.0b	(+.f64 b (+.f64 b (.f64 c (.f64 (/.f64 a b) -2))))
✓	3.0b	(.f64 c (.f64 (/.f64 a b) -2))
✓	3.5b	(.f64 (+.f64 b (+.f64 b (.f64 c (*.f64 (/.f64 a b) -2)))) (/.f64 -1/2 a))

Compiler

Compiled 61 to 30 computations (50.8% saved)

series7.0ms (0%)

Counts

4 → 132

Calls

33 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`rational.json-1`
1666×	`rational.json-2`
1666×	`rational.json-4`
1666×	`rational.json-3`
1656×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	106
1	99	106
2	228	106
3	558	106
4	1461	106
5	4658	106

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

Outputs
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/.f64 (.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a -1/2) (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (+.f64 a a) (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 (/.f64 a (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b))))) (/.f64 a (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 a -4) (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 a -1/2) (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b))))) (/.f64 (/.f64 a -1/2) (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (.f64 a 4) -1/2) (+.f64 (.f64 b 3) (+.f64 b (.f64 c (.f64 (/.f64 a b) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) (neg.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 b 3) (+.f64 b (.f64 c (.f64 (/.f64 a b) -4)))) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (.f64 a -4) (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b))))) (/.f64 (.f64 a -4) (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 2 (.f64 a -4)) (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (.f64 a 4) -1/2) (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) (neg.f64 a))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 4) (.f64 2 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(/.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) (+.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 1/2) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) -2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 b 3) (+.f64 b (.f64 c (.f64 (/.f64 a b) -4))))) (-.f64 0 (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))))) (/.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) (/.f64 -1/2 a)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (/.f64 (/.f64 a -1/2) b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 c (/.f64 (/.f64 a -1/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 c (/.f64 (/.f64 a -1/2) b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b) (/.f64 -1/2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c (/.f64 (/.f64 a -1/2) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b a) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 a) (/.f64 (.f64 c -2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 b (neg.f64 a)) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (+.f64 (/.f64 b (.f64 c -2)) (/.f64 b (.f64 c -2))))))) (#(struct:change #<rule egg-rr> 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(/.f64 1 a) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (/.f64 (neg.f64 b) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (/.f64 (neg.f64 (+.f64 b b)) (.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (/.f64 -1 (/.f64 (.f64 c -2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 b a) (.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 b (+.f64 a a)) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 a) (/.f64 (.f64 c -2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a -1/2) (+.f64 (/.f64 (neg.f64 b) (.f64 c -2)) (/.f64 (neg.f64 b) (.f64 c -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a -1/2) (/.f64 (.f64 2 (neg.f64 b)) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a -1/2) (/.f64 (neg.f64 (+.f64 b b)) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 2 (.f64 c (/.f64 (/.f64 a -1/2) b))) (/.f64 2 (.f64 c (/.f64 (/.f64 a -1/2) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 2 (/.f64 (+.f64 b b) a)) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (.f64 b 4) a) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c (.f64 (/.f64 a b) -8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a b) 4) (+.f64 (/.f64 -1 c) (/.f64 -1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a b) 4) (/.f64 4 (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a a) 4) (/.f64 (.f64 (+.f64 b b) 4) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c -4) (/.f64 (+.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c -2) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 b) (/.f64 (/.f64 1/2 a) (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (/.f64 a (/.f64 b 2)) (.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 c -2) 4) (.f64 2 (/.f64 (+.f64 b b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 c (.f64 (/.f64 a b) -8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 c -2) (/.f64 1/2 b)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a b) 1/4) (/.f64 4 (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (neg.f64 b)) (/.f64 -1 (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (+.f64 b b)) (/.f64 1 (.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c -2) 2) (/.f64 b (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 c -2)) (neg.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 a b)) (/.f64 -1 (.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 c -2) b) (/.f64 (.f64 c -2) b)) (+.f64 (/.f64 1 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 c (.f64 (/.f64 a b) -8))) (.f64 2 (.f64 c (.f64 (/.f64 a b) -8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 c -2)) (neg.f64 (.f64 c -2))) (+.f64 (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c -2) 1/2) (/.f64 (+.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c -4) b) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c -2) (neg.f64 b)) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c -2) (/.f64 1 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 c -4)) (-.f64 0 (/.f64 (+.f64 b b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 c -2) b)) (-.f64 0 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 c -2))) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 (/.f64 a -1/2) b)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 b (/.f64 (.f64 c (/.f64 (/.f64 a -1/2) b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 b 3) (+.f64 b (.f64 c (.f64 (/.f64 a b) -4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 b 3) (+.f64 b (.f64 c (.f64 (/.f64 a b) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (/.f64 (.f64 c (/.f64 (/.f64 a -1/2) b)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 b 3) (+.f64 b (.f64 c (.f64 (/.f64 a b) -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 4)) (.f64 2 (.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 a -1/2) b)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (+.f64 b (*.f64 c (/.f64 (/.f64 a -1/2) b)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 a -1/2) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 a -1/2) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 a -1/2) b) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a -1/2) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 b (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 b (neg.f64 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (+.f64 b b) a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a b) -4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (/.f64 b 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a 4) (/.f64 (.f64 b 4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 b) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (/.f64 (neg.f64 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 b (+.f64 a a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a -1/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 2 (/.f64 (+.f64 b b) a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (.f64 b 4) a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a b) 4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a a) 4) (/.f64 (.f64 (+.f64 b b) 4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a b) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 (+.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 b) (/.f64 (/.f64 1/2 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 a b) -8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a b) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (neg.f64 b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 b) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 a b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 a b) -8)) (.f64 2 (*.f64 (/.f64 a b) -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (+.f64 b b)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (/.f64 1 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a -1/2) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (/.f64 b 2)))))))

simplify137.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-35`
1056×	`rational.json-simplify-2`
1016×	`rational.json-simplify-43`
838×	`rational.json-simplify-1`
786×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	6686
1	1229	6632
2	4289	6580
3	7289	6580

Stop Event

1×	node limit

Counts

286 → 193

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a (/.f64 1/2 b))
✓	0.9b	(/.f64 4 (/.f64 a c))
✓	11.2b	(.f64 (.f64 a (/.f64 1/2 b)) (/.f64 (/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a)) (+.f64 a a)))
✓	12.2b	(/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a))

Compiler

Compiled 94 to 51 computations (45.7% saved)

series8.0ms (0%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	c	@	-inf	(/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a))
0.0ms	a	@	-inf	(*.f64 a (/.f64 1/2 b))
0.0ms	a	@	inf	(*.f64 a (/.f64 1/2 b))
0.0ms	c	@	inf	(/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a))
0.0ms	c	@	0	(/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a))

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`exponential.json-3`
1498×	`rational.json-1`
1498×	`rational.json-2`
1498×	`rational.json-4`
1498×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	106
1	145	94
2	512	88
3	2540	58
4	6484	58

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

Inputs
(/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a))
(.f64 (.f64 a (/.f64 1/2 b)) (/.f64 (/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a)) (+.f64 a a)))
(/.f64 4 (/.f64 a c))
(*.f64 a (/.f64 1/2 b))

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

simplify116.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1366×	`rational.json-simplify-61`
1338×	`rational.json-simplify-51`
1338×	`rational.json-simplify-54`
1010×	`rational.json-simplify-43`
984×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	175	2156
1	471	2144
2	1391	2144
3	5369	2144

Stop Event

1×	node limit

Counts

200 → 117

Calls

Call 1

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

Outputs
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(*.f64 4 c)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 4 (/.f64 c a))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(+.f64 c (*.f64 c 3))
(*.f64 4 c)
(+.f64 (*.f64 4 c) 0)
(*.f64 4 c)
(+.f64 0 (*.f64 4 c))
(*.f64 4 c)
(+.f64 (+.f64 c c) (+.f64 c c))
(*.f64 4 c)
(+.f64 (*.f64 c 3) c)
(*.f64 4 c)
(-.f64 (*.f64 4 c) 0)
(*.f64 4 c)
(*.f64 4 c)
(.f64 4 (.f64 (/.f64 a a) c))
(*.f64 4 c)
(*.f64 a (/.f64 4 (/.f64 a c)))
(*.f64 4 c)
(*.f64 c 4)
(*.f64 4 c)
(*.f64 (/.f64 4 (/.f64 a c)) a)
(*.f64 4 c)
(.f64 1 (.f64 4 c))
(*.f64 4 c)
(.f64 (.f64 4 c) 1)
(*.f64 4 c)
(.f64 (.f64 4 c) (*.f64 (/.f64 1/2 a) (+.f64 a a)))
(.f64 (/.f64 1/2 a) (.f64 8 (*.f64 c a)))
(.f64 c (.f64 8 (*.f64 a (/.f64 1/2 a))))
(.f64 (.f64 c 8) (/.f64 (*.f64 a 1/2) a))
(.f64 (+.f64 a a) (.f64 c (/.f64 2 a)))
(*.f64 4 c)
(.f64 (.f64 c (/.f64 2 a)) (+.f64 a a))
(*.f64 4 c)
(*.f64 2 (+.f64 c c))
(*.f64 4 c)
(.f64 2 (.f64 (*.f64 4 c) 1/2))
(*.f64 4 c)
(*.f64 (+.f64 c c) 2)
(*.f64 4 c)
(.f64 (.f64 4 (+.f64 c c)) 1/2)
(*.f64 4 c)
(.f64 (.f64 4 a) (/.f64 c a))
(*.f64 4 c)
(.f64 (.f64 (/.f64 4 (/.f64 a c)) 2) (/.f64 1 (/.f64 2 a)))
(*.f64 4 c)
(.f64 (/.f64 2 a) (.f64 (+.f64 a a) c))
(*.f64 4 c)
(.f64 (.f64 4 (+.f64 a a)) (*.f64 c (/.f64 1/2 a)))
(.f64 (.f64 4 c) (*.f64 (/.f64 1/2 a) (+.f64 a a)))
(.f64 (/.f64 1/2 a) (.f64 8 (*.f64 c a)))
(.f64 c (.f64 8 (*.f64 a (/.f64 1/2 a))))
(.f64 (.f64 c 8) (/.f64 (*.f64 a 1/2) a))
(.f64 (.f64 (/.f64 1 a) 4) (*.f64 a c))
(.f64 (.f64 4 (/.f64 1 a)) (*.f64 c a))
(.f64 4 (.f64 (/.f64 1 a) (*.f64 c a)))
(.f64 4 (.f64 c (*.f64 a (/.f64 1 a))))
(.f64 (/.f64 4 a) (.f64 a c))
(.f64 a (.f64 c (/.f64 4 a)))
(.f64 c (.f64 (/.f64 4 a) a))
(.f64 c (.f64 a (/.f64 4 a)))
(.f64 1/2 (.f64 4 (+.f64 c c)))
(*.f64 4 c)
(.f64 (.f64 a c) (/.f64 4 a))
(.f64 a (.f64 c (/.f64 4 a)))
(.f64 c (.f64 (/.f64 4 a) a))
(.f64 c (.f64 a (/.f64 4 a)))
(.f64 (/.f64 c a) (.f64 4 a))
(*.f64 4 c)
(.f64 (/.f64 1 (/.f64 2 a)) (.f64 (/.f64 4 (/.f64 a c)) 2))
(*.f64 4 c)
(pow.f64 (*.f64 4 c) 1)
(*.f64 4 c)
(+.f64 (.f64 (/.f64 1/2 b) (.f64 (*.f64 4 c) 1/2)) 0)
(/.f64 c b)
(+.f64 0 (.f64 (/.f64 1/2 b) (.f64 (*.f64 4 c) 1/2)))
(/.f64 c b)
(-.f64 (.f64 (/.f64 1/2 b) (.f64 (*.f64 4 c) 1/2)) 0)
(/.f64 c b)
(/.f64 (.f64 a (/.f64 1/2 b)) (.f64 a (/.f64 1/2 c)))
(/.f64 c b)
(/.f64 (.f64 a (/.f64 1/2 b)) (/.f64 (/.f64 a (.f64 c 1/2)) 4))
(/.f64 c b)
(/.f64 (*.f64 c (/.f64 2 a)) (/.f64 (+.f64 b b) a))
(/.f64 c b)
(/.f64 (.f64 c (/.f64 2 a)) (/.f64 (.f64 b 4) (+.f64 a a)))
(/.f64 c b)
(/.f64 (.f64 c (/.f64 2 a)) (/.f64 b (.f64 a 1/2)))
(/.f64 c b)
(/.f64 (.f64 (/.f64 1/2 b) (.f64 (*.f64 4 c) 1/2)) 1)
(/.f64 c b)
(/.f64 (.f64 (.f64 c (/.f64 2 a)) (/.f64 a b)) 2)
(/.f64 c b)
(/.f64 (.f64 (/.f64 1/2 b) (.f64 c (/.f64 2 a))) (/.f64 1 a))
(/.f64 c b)
(/.f64 (.f64 (.f64 4 c) 1/2) (+.f64 b b))
(/.f64 c b)
(/.f64 (.f64 (.f64 (/.f64 1/2 b) (.f64 (.f64 4 c) 1/2)) 4) 4)
(/.f64 c b)
(/.f64 (neg.f64 (.f64 a (/.f64 1/2 b))) (-.f64 0 (.f64 a (/.f64 1/2 c))))
(/.f64 c b)
(pow.f64 (.f64 (/.f64 1/2 b) (.f64 (*.f64 4 c) 1/2)) 1)
(/.f64 c b)
(+.f64 (/.f64 4 (/.f64 a c)) 0)
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(+.f64 (.f64 c (/.f64 2 a)) (.f64 c (/.f64 2 a)))
(*.f64 4 (/.f64 c a))
(+.f64 0 (/.f64 4 (/.f64 a c)))
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(-.f64 (/.f64 4 (/.f64 a c)) 0)
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(-.f64 0 (neg.f64 (/.f64 4 (/.f64 a c))))
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(*.f64 a (/.f64 (/.f64 4 (/.f64 a c)) a))
(.f64 a (/.f64 4 (.f64 (/.f64 a c) a)))
(*.f64 a (/.f64 c (/.f64 a (/.f64 4 a))))
(.f64 a (/.f64 4 (.f64 a (/.f64 a c))))
(*.f64 c (/.f64 4 a))
(*.f64 (/.f64 4 (/.f64 a c)) 1)
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(*.f64 1 (/.f64 4 (/.f64 a c)))
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(.f64 (.f64 4 c) (+.f64 (/.f64 1/2 a) (/.f64 1/2 a)))
(.f64 8 (.f64 c (/.f64 1/2 a)))
(.f64 c (.f64 (/.f64 1/2 a) 8))
(.f64 (+.f64 a a) (/.f64 c (.f64 (*.f64 a 1/2) a)))
(.f64 (+.f64 a a) (/.f64 c (.f64 a (*.f64 a 1/2))))
(.f64 (+.f64 a a) (/.f64 (/.f64 c a) (.f64 a 1/2)))
(.f64 (.f64 c (/.f64 2 a)) 2)
(*.f64 4 (/.f64 c a))
(.f64 2 (.f64 c (/.f64 2 a)))
(*.f64 4 (/.f64 c a))
(*.f64 (+.f64 c c) (/.f64 2 a))
(*.f64 4 (/.f64 c a))
(.f64 (+.f64 c c) (.f64 (/.f64 1 (.f64 (.f64 a 1/2) a)) a))
(*.f64 4 (/.f64 c a))
(.f64 (.f64 (/.f64 4 (/.f64 a c)) 2) 1/2)
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(*.f64 (/.f64 2 a) (+.f64 c c))
(*.f64 4 (/.f64 c a))
(.f64 (/.f64 c (.f64 (*.f64 a 1/2) a)) (+.f64 a a))
(.f64 (+.f64 a a) (/.f64 c (.f64 a (*.f64 a 1/2))))
(.f64 (+.f64 a a) (/.f64 (/.f64 c a) (.f64 a 1/2)))
(*.f64 (/.f64 (/.f64 4 (/.f64 a c)) a) a)
(.f64 a (/.f64 4 (.f64 (/.f64 a c) a)))
(*.f64 a (/.f64 c (/.f64 a (/.f64 4 a))))
(.f64 a (/.f64 4 (.f64 a (/.f64 a c))))
(.f64 (.f64 (/.f64 4 (/.f64 a c)) 4) 1/4)
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(*.f64 (/.f64 4 a) c)
(*.f64 c (/.f64 4 a))
(.f64 1/2 (.f64 (/.f64 4 (/.f64 a c)) 2))
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(.f64 (/.f64 1/2 a) (.f64 4 (+.f64 c c)))
(.f64 8 (.f64 c (/.f64 1/2 a)))
(.f64 c (.f64 (/.f64 1/2 a) 8))
(*.f64 (neg.f64 (/.f64 4 (/.f64 a c))) -1)
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(.f64 (.f64 2 (/.f64 4 a)) (.f64 (.f64 c (/.f64 1/2 a)) a))
(.f64 (.f64 c (/.f64 1/2 a)) (.f64 a (.f64 2 (/.f64 4 a))))
(.f64 (.f64 c (/.f64 1/2 a)) (*.f64 (+.f64 a a) (/.f64 4 a)))
(.f64 c (.f64 (/.f64 (.f64 a 1/2) a) (.f64 2 (/.f64 4 a))))
(.f64 (+.f64 (/.f64 1/2 a) (/.f64 1/2 a)) (.f64 4 c))
(.f64 8 (.f64 c (/.f64 1/2 a)))
(.f64 c (.f64 (/.f64 1/2 a) 8))
(pow.f64 (/.f64 4 (/.f64 a c)) 1)
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(neg.f64 (neg.f64 (/.f64 4 (/.f64 a c))))
(/.f64 4 (/.f64 a c))
(/.f64 c (/.f64 a 4))
(+.f64 (*.f64 a (/.f64 1/2 b)) 0)
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(+.f64 0 (*.f64 a (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(-.f64 (*.f64 a (/.f64 1/2 b)) 0)
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 a (+.f64 b b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (/.f64 (.f64 2 (.f64 b 4)) 4))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 a (/.f64 (*.f64 2 (neg.f64 b)) -1))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 a (/.f64 (neg.f64 (+.f64 b b)) -1))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 1 (/.f64 (+.f64 b b) a))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 (/.f64 1/2 b) (/.f64 1 a))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 (*.f64 a (/.f64 1/2 b)) 1)
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 (+.f64 a a) (*.f64 b 4))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 (/.f64 a b) 2)
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 (neg.f64 (+.f64 a a)) (-.f64 0 (*.f64 b 4)))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 (neg.f64 a) (neg.f64 (+.f64 b b)))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 (*.f64 a 1/2) b)
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 (*.f64 2 (/.f64 a b)) 4)
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(/.f64 (neg.f64 (*.f64 a 1/2)) (neg.f64 b))
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))
(pow.f64 (*.f64 a (/.f64 1/2 b)) 1)
(*.f64 1/2 (/.f64 a b))
(*.f64 a (/.f64 1/2 b))
(/.f64 a (+.f64 b b))

eval133.0ms (0.5%)

Compiler: Compiled 8712 to 5067 computations (41.8% saved)

prune180.0ms (0.7%)

Pruning

46 alts after pruning (39 fresh and 7 done)

	Pruned	Kept	Total
New	535	15	550
Fresh	4	24	28
Picked	1	0	1
Done	1	7	8
Total	541	46	587

Error

3.9b

Counts

587 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	52.1b	(/.f64 (.f64 a (/.f64 (.f64 (/.f64 b c) -2) (.f64 (/.f64 b c) (/.f64 b c)))) (.f64 a 2))
	48.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 a 2))
✓	38.6b	(/.f64 c (neg.f64 b))
	56.9b	(/.f64 c b)
	43.8b	(/.f64 -1/2 (/.f64 a (+.f64 b (+.f64 b (*.f64 c (/.f64 (/.f64 a -1/2) b))))))
	38.8b	(/.f64 -1 (/.f64 b c))
	43.6b	(+.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))
	44.7b	(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) -1)
✓	42.6b	(*.f64 (/.f64 (/.f64 a (/.f64 b c)) a) -1)
	50.7b	(.f64 (/.f64 (.f64 (/.f64 (/.f64 a b) (/.f64 1 a)) (/.f64 c a)) a) -1)
	52.1b	(.f64 (/.f64 (.f64 (/.f64 c (.f64 a b)) (.f64 a a)) a) -1)
	44.1b	(.f64 (/.f64 (.f64 (/.f64 1/2 b) (/.f64 c (neg.f64 a))) (/.f64 -1/2 a)) -1)
	44.4b	(.f64 (/.f64 (.f64 a (/.f64 1/2 b)) (*.f64 a (/.f64 1/2 c))) -1)
	48.3b	(.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a) -1/2)
	44.5b	(.f64 (/.f64 c (.f64 a b)) (neg.f64 a))
✓	38.6b	(.f64 (/.f64 c b) (.f64 a (/.f64 -1 a)))
	44.4b	(*.f64 (/.f64 a b) (/.f64 c (neg.f64 a)))
	43.3b	(.f64 (/.f64 1 b) (/.f64 (.f64 c a) (neg.f64 a)))
	42.5b	(.f64 (/.f64 1/2 a) (.f64 a (*.f64 (/.f64 c b) -2)))
	49.0b	(.f64 (+.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) (/.f64 -1/2 a))
	44.9b	(.f64 (+.f64 b (+.f64 b (/.f64 (/.f64 1 b) (/.f64 (/.f64 1 a) (.f64 c -2))))) (/.f64 -1/2 a))
	46.0b	(.f64 (+.f64 b (+.f64 b (.f64 (/.f64 a b) (/.f64 (/.f64 a b) (/.f64 (/.f64 -1/2 c) (/.f64 b a)))))) (/.f64 -1/2 a))
	43.8b	(.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 (/.f64 2 b) (/.f64 -1 a))))) (/.f64 -1/2 a))
	43.8b	(.f64 (+.f64 b (+.f64 b (.f64 c (/.f64 -2 (/.f64 b a))))) (/.f64 -1/2 a))
✓	37.2b	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
	56.6b	(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
	43.5b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	53.0b	(.f64 (.f64 (/.f64 (/.f64 c (+.f64 a a)) a) (/.f64 a (/.f64 b (+.f64 a a)))) -1)
	44.4b	(.f64 (.f64 (/.f64 (/.f64 1 b) (/.f64 1 a)) (/.f64 c a)) -1)
	52.9b	(.f64 (.f64 (/.f64 (.f64 a 4) (/.f64 b (+.f64 a a))) (/.f64 (/.f64 c (+.f64 a a)) (.f64 a 4))) -1)
	54.5b	(.f64 (.f64 (/.f64 a (.f64 b (/.f64 (/.f64 b c) c))) (/.f64 b (.f64 a c))) -1)
	44.5b	(.f64 (.f64 (/.f64 a (*.f64 b 4)) (/.f64 (/.f64 (/.f64 4 (/.f64 a c)) (/.f64 1 a)) a)) -1)
	44.4b	(.f64 (.f64 (/.f64 a (*.f64 b 4)) (/.f64 4 (/.f64 a c))) -1)
	53.0b	(.f64 (.f64 (/.f64 4 (.f64 (/.f64 a c) a)) (/.f64 a (.f64 4 (/.f64 b a)))) -1)
	43.0b	(.f64 (.f64 (+.f64 c c) (*.f64 (/.f64 1 a) (/.f64 1/2 (/.f64 b a)))) -1)
	44.4b	(.f64 (.f64 (.f64 a (/.f64 1/2 b)) (/.f64 (/.f64 (.f64 (.f64 c (/.f64 1/2 a)) (.f64 (+.f64 a a) (/.f64 4 a))) (/.f64 1 a)) (+.f64 a a))) -1)
	44.4b	(.f64 (.f64 (.f64 a (/.f64 1/2 b)) (/.f64 (.f64 (/.f64 4 (/.f64 a c)) a) (+.f64 a a))) -1)
	51.4b	(.f64 (.f64 (.f64 a 4) (.f64 (*.f64 (/.f64 c b) a) (/.f64 (/.f64 1/2 a) (+.f64 a a)))) -1)
	43.9b	(.f64 (.f64 2 (+.f64 b (*.f64 (/.f64 a b) (neg.f64 c)))) (/.f64 -1/2 a))
	47.8b	(.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) (/.f64 -1/2 a))
	42.6b	(*.f64 c (/.f64 (/.f64 a b) (neg.f64 a)))
✓	38.7b	(*.f64 c (neg.f64 (/.f64 1 b)))
	42.3b	(*.f64 a (/.f64 (/.f64 c b) (neg.f64 a)))
	54.6b	(.f64 -1/2 (+.f64 (/.f64 b a) (sqrt.f64 (.f64 -4 (/.f64 c a)))))
✓	54.6b	(.f64 -1/2 (sqrt.f64 (.f64 -4 (/.f64 c a))))
✓	43.5b	(neg.f64 (/.f64 b a))

Compiler

Compiled 718 to 491 computations (31.6% saved)

regimes13.6s (50.4%)

Counts

69 → 3

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 c b))
(.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a) 1/2)
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))

Calls

4 calls:

13.0s	c
361.0ms	a
137.0ms	b
72.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Results

Error	Segments	Branch
26.9b	9	`a`
9.4b	3	`b`
28.0b	9	`c`
14.6b	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 917 to 485 computations (47.1% saved)

bsearch393.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
371.0ms	5.625799675517586e+75	2.8461540003087246e+76
21.0ms	-9.11699044278215e-106	-9.975129274586407e-107

Results

376.0ms	170×	body	256	valid
5.0ms	49×	body	256	invalid
3.0ms	11×	body	1024	valid
2.0ms	16×	body	256	infinite
2.0ms	8×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 398 to 283 computations (28.9% saved)

regimes976.0ms (3.6%)

Counts

66 → 3

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 c b))
(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))

Calls

3 calls:

669.0ms	c
208.0ms	a
82.0ms	b

Results

Error	Segments	Branch
29.0b	7	`a`
9.7b	3	`b`
29.5b	7	`c`

Compiler

Compiled 846 to 447 computations (47.2% saved)

bsearch40.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.625799675517586e+75	2.8461540003087246e+76
22.0ms	-9.11699044278215e-106	-9.975129274586407e-107

Results

22.0ms	164×	body	256	valid
5.0ms	42×	body	256	invalid
4.0ms	14×	body	1024	valid
2.0ms	18×	body	256	infinite
2.0ms	10×	body	512	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 386 to 271 computations (29.8% saved)

regimes2.3s (8.6%)

Counts

65 → 3

Calls

Call 1

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

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

Calls

3 calls:

1.5s	a
479.0ms	c
303.0ms	b

Results

Error	Segments	Branch
31.0b	7	`a`
11.8b	3	`b`
30.8b	8	`c`

Compiler

Compiled 830 to 437 computations (47.3% saved)

bsearch44.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.229196203723907e-89	1.2764185358035487e-80
20.0ms	-9.11699044278215e-106	-9.975129274586407e-107

Results

27.0ms	216×	body	256	valid
6.0ms	52×	body	256	invalid
5.0ms	16×	body	1024	valid
1.0ms	6×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 392 to 292 computations (25.5% saved)

regimes424.0ms (1.6%)

Counts

58 → 3

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 c b))
(.f64 -1/2 (sqrt.f64 (.f64 -4 (/.f64 c a))))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))

Calls

3 calls:

173.0ms	c
135.0ms	a
73.0ms	b

Results

Error	Segments	Branch
32.0b	5	`a`
16.6b	3	`b`
32.0b	6	`c`

Compiler

Compiled 751 to 388 computations (48.3% saved)

bsearch51.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	2.9820845689361643e-172	6.641027105823149e-169
28.0ms	-8.508669413231012e-207	-8.857108978987145e-217

Results

35.0ms	284×	body	256	valid
11.0ms	95×	body	256	invalid
1.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 418 to 323 computations (22.7% saved)

regimes527.0ms (1.9%)

Counts

57 → 2

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 c b))
(neg.f64 (/.f64 b a))

Calls

3 calls:

234.0ms	c
230.0ms	a
47.0ms	b

Results

Error	Segments	Branch
32.6b	6	`a`
19.5b	2	`b`
33.7b	5	`c`

Compiler

Compiled 743 to 383 computations (48.5% saved)

bsearch68.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
68.0ms	-5.735318324756101e-260	-1.0731159978328242e-260

Results

60.0ms	94×	body	256	valid
6.0ms	55×	body	256	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 122 to 91 computations (25.4% saved)

regimes23.0ms (0.1%)

Accuracy

Total -24.4b remaining (-64.2%)

Threshold costs -24.4b (-64.2%)

Counts

2 → 2

Calls

Call 1

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

Outputs
(/.f64 c b)
(neg.f64 (/.f64 b a))

Calls

3 calls:

8.0ms	a
8.0ms	c
6.0ms	b

Results

Error	Segments	Branch
42.5b	3	`a`
38.0b	2	`b`
41.3b	3	`c`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch39.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	-8.403600133166737e-16	-8.224749949825038e-19

Results

10.0ms	26×	body	2048	valid
8.0ms	28×	body	1024	valid
6.0ms	25×	body	256	invalid
6.0ms	22×	body	512	valid
6.0ms	52×	body	256	valid

Compiler

Compiled 146 to 107 computations (26.7% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	423

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -1497704929290407/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (neg.f64 (/.f64 c b)) (if (<=.f64 b 27999999999999998746582895070968707629227536196166402104455596645246562205696) (.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a) 1/2) (+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))))
(if (<=.f64 b -8263199609878107/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (neg.f64 (/.f64 c b)) (if (<=.f64 b 14999999999999999098963973179591768295377309770637343624215070519554538995712) (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a)) (+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))))
(if (<=.f64 b -8263199609878107/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (neg.f64 (/.f64 c b)) (if (<=.f64 b 331482221842315/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) (/.f64 -1/2 a)) (+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))))
(if (<=.f64 b -6145054374149081/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (neg.f64 (/.f64 c b)) (if (<=.f64 b 403664874540743/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 -1/2 (sqrt.f64 (.f64 -4 (/.f64 c a)))) (+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))))
(if (<=.f64 b -2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (neg.f64 (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b -6084722881095501/81129638414606681695789005144064) (/.f64 c b) (neg.f64 (/.f64 b a)))
(/.f64 c b)

Outputs
(if (<=.f64 b -1497704929290407/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (neg.f64 (/.f64 c b)) (if (<=.f64 b 27999999999999998746582895070968707629227536196166402104455596645246562205696) (.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) a) 1/2) (+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))))
(if (<=.f64 b -8263199609878107/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (neg.f64 (/.f64 c b)) (if (<=.f64 b 14999999999999999098963973179591768295377309770637343624215070519554538995712) (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (/.f64 -1/2 a)) (+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))))
(if (<=.f64 b -8263199609878107/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (neg.f64 (/.f64 c b)) (if (<=.f64 b 331482221842315/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) (/.f64 -1/2 a)) (+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))))
(if (<=.f64 b -6145054374149081/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (neg.f64 (/.f64 c b)) (if (<=.f64 b 403664874540743/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 -1/2 (sqrt.f64 (.f64 -4 (/.f64 c a)))) (+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))))
(if (<=.f64 b -2631295589830529/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (neg.f64 (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b -6084722881095501/81129638414606681695789005144064) (/.f64 c b) (neg.f64 (/.f64 b a)))
(/.f64 c b)

Compiler

Compiled 178 to 113 computations (36.5% saved)

soundness698.0ms (2.6%)

Algorithm

5×	egg-herbie

Rules

1916×	`rational.json-simplify-35`
1916×	`rational.json-simplify-35`
1916×	`rational.json-simplify-35`
1514×	`rational.json-simplify-51`
1514×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	37	51
2	69	51
3	127	51
4	362	51
5	2347	51
6	7146	51
0	339	8818
1	747	8488
2	1731	8288
3	3972	8276
4	6819	8276
0	17	51
1	37	51
2	69	51
3	127	51
4	362	51
5	2347	51
6	7146	51
0	17	51
1	37	51
2	69	51
3	127	51
4	362	51
5	2347	51
6	7146	51
0	339	8818
1	747	8488
2	1731	8288
3	3972	8276
4	6819	8276

Stop Event

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

Compiler

Compiled 166 to 91 computations (45.2% saved)

end62.0ms (0.2%)

Compiler: Compiled 160 to 71 computations (55.6% saved)