Details

analyze1.2s (1.4%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample8.1s (9.7%)

Results

3.1s	5528×	body	256	valid
1.7s	1186×	body	2048	valid
941.0ms	425×	body	4096	valid
809.0ms	750×	body	1024	valid
649.0ms	1244×	body	256	invalid
599.0ms	367×	body	512	valid
261.0ms	355×	body	256	infinite

Bogosity

preprocess249.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1456×	`rational_best-simplify-51`
996×	`rational_best-simplify-53`
930×	`rational_best-simplify-75`
904×	`rational_best-simplify-49`
894×	`rational_best-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
1	74	156
2	151	156
3	364	156
4	892	156
5	3451	156
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify408.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

992×	`rational_best-simplify-48`
918×	`rational_best-simplify-47`
852×	`rational_best-simplify-52`
744×	`rational_best-simplify-83`
536×	`rational_best-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	26	39
2	52	39
3	117	39
4	282	39
5	1014	39
6	7230	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize174.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.7b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	21.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series210.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
161.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
25.0ms	a	@	inf	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
2.0ms	b_2	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
2.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

rewrite651.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`rational_best-4`
1956×	`rational_best-2`
1956×	`rational_best-3`
1956×	`rational_best-1`
416×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	92	114
2	239	114
3	917	114
4	5431	114

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (.f64 2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b_2) (+.f64 -1 (-.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b_2) (+.f64 1 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 1 (-.f64 -1 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 -1 (-.f64 1 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 b_2) (-.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 -1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 b_2) (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 -2) (+.f64 (/.f64 b_2 -2) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 -2) (-.f64 (/.f64 b_2 -2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2) (/.f64 (-.f64 -1 (+.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 b_2) 2) (/.f64 (-.f64 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 b_2 -2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 b_2) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 b_2 2)) (neg.f64 (/.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 4) (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 b_2 -2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 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a))))))

simplify915.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational_best-simplify-50`
1102×	`rational_best-simplify-57`
954×	`rational_best-simplify-1`
878×	`rational_best-simplify-3`
728×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	10079
1	1295	9827
2	3737	9619

Stop Event

1×	node limit

Counts

247 → 314

Calls

Call 1

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

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

eval703.0ms (0.8%)

Compiler: Compiled 7359 to 3232 computations (56.1% saved)

prune436.0ms (0.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	293	21	314
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	293	22	315

Error

2.5b

Counts

315 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	32.4b	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) (sqrt.f64 1/2))) a)
✓	31.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	42.0b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	56.7b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	49.1b	(/.f64 (+.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) (*.f64 b_2 -2)) a)
	48.3b	(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	42.9b	(/.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) a)
▶	45.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
▶	41.1b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	31.9b	(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))
▶	31.7b	(-.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (.f64 a 4)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (*.f64 a 4)))
	31.9b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
▶	41.2b	(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
	48.1b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
	31.7b	(.f64 (/.f64 1 a) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	44.2b	(.f64 (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (/.f64 1 a) a))
	39.4b	(*.f64 c (/.f64 -1/2 b_2))
	47.9b	(*.f64 b_2 (/.f64 -2 a))
	45.6b	(.f64 a (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a a)))
	39.4b	(*.f64 -1/2 (/.f64 c b_2))
▶	47.9b	(*.f64 -2 (/.f64 b_2 a))
	53.1b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))

Compiler

Compiled 684 to 450 computations (34.2% saved)

localize120.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.7b	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
	1.7b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
	21.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 131 to 33 computations (74.8% saved)

series4.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite272.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`rational_best-simplify-48`
830×	`rational_best-simplify-52`
754×	`rational_best-simplify-51`
726×	`rational_best-simplify-57`
658×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	71	29
2	147	29
3	429	29
4	1658	29

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 b_2 (+.f64 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 b_2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 b_2) (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 b_2) (+.f64 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 b_2) (+.f64 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (-.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) (+.f64 (+.f64 (sqrt.f64 (-.f64 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(-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 b_2)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 b_2 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 b_2 1/2) (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (-.f64 (/.f64 b_2 -2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 b_2 (.f64 b_2 1/2)) (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) 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b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 b_2 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 4)) (.f64 2 (.f64 b_2 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b_2 4) (neg.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 4) (neg.f64 (.f64 b_2 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) b_2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 b_2 (+.f64 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x 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c))) 2) (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 1/2) (-.f64 (/.f64 b_2 -2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 1/2) (+.f64 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 (/.f64 b_2 -2) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 1/2) (+.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 1/2) (+.f64 (/.f64 b_2 -2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2) (+.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) -2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) (+.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2) (/.f64 b_2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) -2) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 (*.f64 b_2 1/2)) (+.f64 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 b_2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 1/2)) (/.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b_2 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 b_2 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 b_2 1/2) (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 (/.f64 b_2 -2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 b_2 (*.f64 b_2 1/2)) (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 3 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 b_2 1/2) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) -2)) (/.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 b_2 4)) (*.f64 2 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 4)) (*.f64 2 (*.f64 b_2 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 4) (neg.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 4) (neg.f64 (*.f64 b_2 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2))))))

simplify510.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational_best-simplify-66`
1272×	`rational_best-simplify-3`
1022×	`rational_best-simplify-85`
950×	`rational_best-simplify-50`
774×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	3112
1	517	2890
2	1193	2852
3	4261	2844

Stop Event

1×	node limit

Counts

74 → 109

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite244.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`rational_best-simplify-82`
782×	`rational_best-simplify-64`
758×	`rational_best-simplify-50`
654×	`rational_best-4`
654×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	50	13
2	121	13
3	367	13
4	1637	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 (*.f64 -2 a)) (*.f64 -3/2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3/2 (/.f64 b_2 a)) (/.f64 b_2 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 b_2 (*.f64 a 4))) (neg.f64 (/.f64 (*.f64 3/2 (/.f64 b_2 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 b_2 (/.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 b_2) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b_2 (*.f64 -2 a)) (*.f64 3/2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b_2 (*.f64 a -4)) (-.f64 (/.f64 (*.f64 3/2 (/.f64 b_2 a)) 2) (/.f64 (neg.f64 b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 (/.f64 a 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 -4 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 -8 a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b_2 b_2) (/.f64 -8 a)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b_2 4) (/.f64 -8 a)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -8 a) (*.f64 b_2 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 b_2 b_2) 4) (/.f64 -4 a)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -4 a) (*.f64 (+.f64 b_2 b_2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 b_2 b_2) 4) (/.f64 -1 a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 b_2 (*.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b_2 (/.f64 a 2)))))))

simplify321.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational_best-simplify-55`
780×	`rational_best-simplify-64`
766×	`rational_best-simplify-63`
736×	`rational_best-simplify-65`
682×	`rational_best-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	501
1	209	495
2	585	495
3	2039	479

Stop Event

1×	node limit

Counts

25 → 41

Calls

Call 1

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

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

localize55.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (/.f64 (.f64 c a) b_2))
✓	4.9b	(/.f64 (*.f64 c a) b_2)
✓	8.7b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series32.0ms (0%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
17.0ms	b_2	@	0	(/.f64 (*.f64 c a) b_2)
4.0ms	c	@	0	(/.f64 (*.f64 c a) b_2)
1.0ms	c	@	0	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
1.0ms	a	@	0	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
1.0ms	c	@	inf	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)

rewrite486.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`rational_best-4`
1264×	`rational_best-2`
1264×	`rational_best-3`
1264×	`rational_best-1`
1264×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	72	57
2	182	57
3	596	57
4	2999	45

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) 2) (/.f64 (*.f64 -1/2 (/.f64 c b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) 2) 2) (/.f64 (*.f64 3/2 (*.f64 -1/2 (/.f64 c b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3/2 (*.f64 -1/2 (/.f64 c b_2))) 2) (/.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))) (*.f64 a 4)) (/.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -3/2) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -3/2) (*.f64 a 4)) (/.f64 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) 2) (/.f64 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 -1/2 (/.f64 c b_2)) 2) (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3/2 (*.f64 -1/2 (/.f64 c b_2))) 2) (/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3/2 (*.f64 -1/2 (/.f64 c b_2))) 2) (+.f64 (/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))) 2) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -3/2) (*.f64 a 4)) (/.f64 (/.f64 (*.f64 c a) (+.f64 b_2 b_2)) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -3/2) (*.f64 a 4)) (+.f64 (/.f64 (/.f64 (*.f64 c a) (+.f64 b_2 b_2)) (*.f64 a 4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (/.f64 (*.f64 c a) (/.f64 b_2 2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 -1/2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 b_2) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) (-.f64 (/.f64 1 a) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 c a)) (/.f64 (/.f64 1 b_2) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b_2) (/.f64 (/.f64 (*.f64 c a) (*.f64 b_2 b_2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 c (+.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -1/2 b_2) (/.f64 c 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 (/.f64 c b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -2) (/.f64 1 (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -2) (/.f64 1/2 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -2) (-.f64 (/.f64 1/2 a) (/.f64 1 (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 -1/2 (/.f64 c b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (*.f64 -1/2 (/.f64 c b_2)) 4) (*.f64 (*.f64 -1/2 (/.f64 c b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 2) (/.f64 -1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 c (*.f64 -1/2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (-.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) (*.f64 c (*.f64 -1/2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (neg.f64 (/.f64 (*.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (-.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -2) (neg.f64 (/.f64 (*.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a 4)) (*.f64 (/.f64 (*.f64 c a) b_2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a 4)) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) 4) (*.f64 (/.f64 (*.f64 c a) b_2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c a) -2) (/.f64 (/.f64 1/2 b_2) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 b_2) (/.f64 c 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 (/.f64 c b_2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) 4) (/.f64 1 (*.f64 (+.f64 a a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) 4) (-.f64 (/.f64 1 (*.f64 a 4)) (/.f64 1 (*.f64 (+.f64 a a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 a 2)) (/.f64 1 (/.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (neg.f64 (*.f64 -1/2 (/.f64 c b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 c (*.f64 b_2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 c (*.f64 a 4))) (/.f64 (/.f64 1 (*.f64 b_2 4)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 -1/2 (/.f64 c b_2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (+.f64 b_2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 b_2 4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 a a) 4)) (*.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 a)) (/.f64 (*.f64 -1/2 (/.f64 c b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 a)) (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 c (*.f64 -1/2 (/.f64 a b_2)))) (/.f64 (/.f64 1 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))) (/.f64 (/.f64 1/2 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 (/.f64 (*.f64 c a) b_2) -2)) (/.f64 (/.f64 1 (*.f64 a 4)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 b_2) (/.f64 c 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) a) (*.f64 a (*.f64 c (*.f64 -1/2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) a) (*.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 a 4)) a) (*.f64 a (*.f64 (/.f64 (*.f64 c a) b_2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 b_2 b_2))) (/.f64 (/.f64 1 (/.f64 1 b_2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (*.f64 b_2 4))) (/.f64 (*.f64 c (*.f64 a 4)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a (/.f64 2 a)) -1) (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (*.f64 c a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 b_2)) (/.f64 (*.f64 c (+.f64 a a)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 c (*.f64 a 4)) b_2)) (/.f64 1/4 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (*.f64 c a) 8)) (/.f64 (/.f64 1 (*.f64 2 (*.f64 b_2 4))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 (*.f64 c a) b_2) (/.f64 b_2 2))) (/.f64 (/.f64 1 (/.f64 2 b_2)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (*.f64 c a) b_2)) (/.f64 (/.f64 (/.f64 1 b_2) b_2) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 b_2 (*.f64 c (+.f64 a a)))) (/.f64 (/.f64 (/.f64 1/2 b_2) b_2) (+.f64 a a)))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c a) b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c a) (+.f64 b_2 b_2)) (/.f64 (*.f64 c a) (+.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 c a) b_2) 4) (/.f64 (*.f64 (/.f64 (*.f64 c a) b_2) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c a) (*.f64 b_2 4)) (/.f64 (*.f64 c (*.f64 a 3)) (*.f64 b_2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b_2) 3/2) 2) (/.f64 (/.f64 (*.f64 c a) b_2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c (*.f64 a 3)) (*.f64 b_2 4)) (/.f64 (*.f64 c a) (*.f64 b_2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 c (*.f64 -1/2 (/.f64 a b_2)))) (-.f64 1 (*.f64 c (*.f64 -1/2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 c 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(*.f64 b_2 (*.f64 c (+.f64 a a))) (/.f64 (/.f64 1/2 b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b_2 (/.f64 (*.f64 c a) b_2)) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b_2 (/.f64 (*.f64 c a) (/.f64 b_2 2))) (/.f64 1/2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b_2 (*.f64 c (*.f64 a 4))) (/.f64 (/.f64 1 (*.f64 b_2 4)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 b_2) b_2) (*.f64 (*.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 b_2) b_2) (*.f64 b_2 (*.f64 c (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 b_2 4)) b_2) (*.f64 b_2 (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 b_2 (/.f64 2 b_2)) -1) (/.f64 (*.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) 4) (/.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))) 4) (/.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -3/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -3/2) 4) (/.f64 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 c a) (+.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) 4) (/.f64 (/.f64 (*.f64 c a) b_2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -3/2) 4) (/.f64 (/.f64 (*.f64 c a) (+.f64 b_2 b_2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (+.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (+.f64 b_2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 c a) b_2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -2) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 (*.f64 c a) b_2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) -2) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 -1/2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c a) (+.f64 b_2 b_2)))))))

simplify578.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1412×	`rational_best-simplify-65`
1134×	`rational_best-simplify-63`
942×	`rational_best-simplify-54`
906×	`rational_best-simplify-64`
602×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	5655
1	942	5347
2	3547	4529

Stop Event

1×	node limit

Counts

211 → 254

Calls

Call 1

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

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

localize54.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
✓	12.3b	(sqrt.f64 (*.f64 c (neg.f64 a)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series56.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	a	@	inf	(sqrt.f64 (*.f64 c (neg.f64 a)))
22.0ms	c	@	inf	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
2.0ms	c	@	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
1.0ms	c	@	0	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
1.0ms	a	@	0	(sqrt.f64 (*.f64 c (neg.f64 a)))

rewrite398.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`rational_best-simplify-60`
1150×	`rational_best-2`
1150×	`rational_best-3`
1150×	`rational_best-1`
1148×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	76	40
2	196	40
3	705	40
4	4233	40

Stop Event

1×	node limit

Counts

2 → 198

Calls

Call 1

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

Outputs

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

simplify737.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

800×	`rational_best-simplify-47`
738×	`rational_best-simplify-57`
682×	`rational_best-simplify-61`
674×	`rational_best-simplify-108`
666×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	5012
1	1151	4990
2	3839	4896

Stop Event

1×	node limit

Counts

198 → 229

Calls

Call 1

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

localize107.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	11.2b	(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
	21.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 77 to 26 computations (66.2% saved)

series12.0ms (0%)

Counts

2 → 40

Calls

18 calls:

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

rewrite1.0s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`rational_best-simplify-1`
588×	`rational_best-simplify-52`
530×	`rational_best-simplify-48`
504×	`rational_best-simplify-67`
492×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	82
1	119	82
2	293	82
3	1094	74
4	7332	74

Stop Event

1×	node limit

Counts

2 → 249

Calls

Call 1

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

Outputs

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

simplify901.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1364×	`rational_best-simplify-48`
1234×	`rational_best-simplify-1`
904×	`rational_best-simplify-108`
472×	`rational_best-simplify-3`
428×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	628	17161
1	1747	15387
2	6408	14565

Stop Event

1×	node limit

Counts

289 → 396

Calls

Call 1

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

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

eval2.8s (3.4%)

Compiler: Compiled 36751 to 17071 computations (53.5% saved)

prune3.5s (4.1%)

Pruning

57 alts after pruning (53 fresh and 4 done)

	Pruned	Kept	Total
New	1355	43	1398
Fresh	6	10	16
Picked	1	0	1
Done	1	4	5
Total	1363	57	1420

Error

0.1b

Counts

1420 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(/.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) a) (/.f64 1 a))
	46.9b	(/.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c a) b_2) -3/2) (.f64 (/.f64 a b_2) (.f64 -1/2 c))) 4) a)
	43.6b	(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 a 2)) (/.f64 4 a))
	55.1b	(/.f64 (-.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1) a)
	49.3b	(/.f64 (-.f64 (neg.f64 (+.f64 1 b_2)) (+.f64 -1 b_2)) a)
✓	31.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	42.0b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	56.7b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	49.1b	(/.f64 (+.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) (*.f64 b_2 -2)) a)
	48.3b	(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	57.9b	(/.f64 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))
	45.1b	(/.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) a)
	50.7b	(/.f64 (.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 -2 (*.f64 a a))) (/.f64 2 a))
	42.9b	(/.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) a)
	50.5b	(/.f64 (.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))) (neg.f64 (*.f64 a a)))
✓	45.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	51.7b	(/.f64 (.f64 -1/2 (.f64 (/.f64 (/.f64 1 b_2) b_2) (.f64 (.f64 c a) b_2))) a)
	50.9b	(/.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) (.f64 b_2 b_2)) b_2)) a)
	45.2b	(/.f64 (.f64 -1/2 (.f64 c (.f64 (.f64 a 4) (-.f64 (/.f64 1 b_2) (/.f64 3/4 b_2))))) a)
	47.8b	(/.f64 (.f64 -1/2 (.f64 b_2 (*.f64 (/.f64 c b_2) (/.f64 a b_2)))) a)
▶	58.2b	(/.f64 (.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a))) (/.f64 1 (*.f64 a a)))
	49.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 c 2)) (sqrt.f64 (.f64 a -2)))) a)
	49.4b	(/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	41.1b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	31.9b	(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))
	32.3b	(-.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (.f64 a 4)) (/.f64 (-.f64 (-.f64 (+.f64 b_2 (.f64 b_2 1/2)) (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 b_2 -2)) (.f64 a 4)))
	32.3b	(-.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (.f64 a 4)) (/.f64 (+.f64 b_2 (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) (sqrt.f64 1/2))) (*.f64 a 4)))
▶	31.9b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
	48.0b	(-.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 3))
	48.0b	(-.f64 (/.f64 b_2 a) (*.f64 b_2 (/.f64 3 a)))
	47.9b	(+.f64 (/.f64 (-.f64 (neg.f64 b_2) (/.f64 b_2 4)) a) (.f64 (.f64 b_2 (/.f64 3 a)) -1/4))
	59.0b	(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (-.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) b_2)) a))
	49.4b	(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 b_2) a))
	52.7b	(+.f64 (/.f64 (-.f64 1 b_2) a) (.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a a)) a))
▶	48.1b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
▶	46.7b	(+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1) a)) (/.f64 1 a))
	52.5b	(.f64 (/.f64 (/.f64 1/2 a) a) (.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))))
	50.3b	(.f64 (/.f64 (/.f64 -1 a) a) (.f64 a (sqrt.f64 (*.f64 c (neg.f64 a)))))
	43.6b	(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))
	43.6b	(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) a)
	49.4b	(*.f64 (/.f64 (sqrt.f64 (neg.f64 a)) (neg.f64 a)) (sqrt.f64 c))
	50.1b	(*.f64 (/.f64 (sqrt.f64 c) (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
	39.4b	(*.f64 (/.f64 c b_2) -1/2)
	47.1b	(.f64 (/.f64 1 a) (-.f64 (neg.f64 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 a b_2) (.f64 -1/2 c))))
	45.1b	(.f64 (/.f64 1 a) (.f64 c (*.f64 -1/2 (/.f64 a b_2))))
	45.2b	(.f64 (/.f64 1/2 a) (neg.f64 (/.f64 (.f64 c a) b_2)))
	39.4b	(*.f64 (/.f64 -1/2 b_2) c)
	41.2b	(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
	39.4b	(.f64 (+.f64 (.f64 a (/.f64 2 a)) -1) (*.f64 -1/2 (/.f64 c b_2)))
	51.1b	(.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) (.f64 a (/.f64 1 (*.f64 a a))))
	45.3b	(.f64 (.f64 (*.f64 c a) (/.f64 -2 b_2)) (-.f64 (/.f64 1 a) (/.f64 3/4 a)))
	43.8b	(.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (.f64 c a) (+.f64 a a)))
	52.4b	(*.f64 (neg.f64 (sqrt.f64 (neg.f64 c))) (/.f64 (sqrt.f64 a) a))
	43.4b	(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 1 a)))
▶	47.9b	(*.f64 b_2 (/.f64 -2 a))
✓	47.9b	(*.f64 -2 (/.f64 b_2 a))
	53.1b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))

Compiler

Compiled 1805 to 1228 computations (32% saved)

localize204.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a))
	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	7.9b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
	21.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 58 to 11 computations (81% saved)

series34.0ms (0%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	a	@	0	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
1.0ms	a	@	inf	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
1.0ms	c	@	inf	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
1.0ms	a	@	-inf	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
1.0ms	c	@	inf	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a))

rewrite581.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`rational_best-2`
1904×	`rational_best-3`
1904×	`rational_best-1`
388×	`rational_best-simplify-49`
384×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	98	78
2	252	72
3	967	72
4	5887	72

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 a)) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a -2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a -2)) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a -4)) (/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify715.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1286×	`rational_best-simplify-1`
814×	`rational_best-simplify-47`
790×	`rational_best-simplify-63`
690×	`rational_best-simplify-108`
662×	`rational_best-simplify-69`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	7076
1	1034	6480
2	4017	6386

Stop Event

1×	node limit

Counts

144 → 208

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite444.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2094×	`rational_best-1`
560×	`rational_best-simplify-52`
518×	`rational_best-simplify-50`
498×	`rational_best-simplify-64`
488×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	51	13
2	117	13
3	325	13
4	1321	13
5	7643	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 (/.f64 -2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b_2 (/.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 (/.f64 -1 a)) (*.f64 b_2 (/.f64 -1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 b_2 (/.f64 -2 a)) 4) (+.f64 (/.f64 (*.f64 b_2 (/.f64 -2 a)) 4) (*.f64 b_2 (/.f64 -1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 (/.f64 -2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 (/.f64 -1 a)) (/.f64 (neg.f64 (*.f64 b_2 (/.f64 -2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 (/.f64 -1 a)) (neg.f64 (*.f64 b_2 (/.f64 -1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b_2 (/.f64 -1 a)) (+.f64 (/.f64 (neg.f64 (*.f64 b_2 (/.f64 -2 a))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 b_2) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 b_2 (/.f64 -2 a)) 4) (*.f64 b_2 (/.f64 -1 a))) (-.f64 0 (/.f64 (*.f64 b_2 (/.f64 -2 a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 -2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 -4 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 -8 a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 -16 a)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b_2 b_2) (/.f64 -16 a)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 b_2 (/.f64 -16 a)) (*.f64 b_2 (/.f64 -16 a))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 b_2 b_2) (/.f64 -16 a)) (*.f64 (+.f64 b_2 b_2) (/.f64 -16 a))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 b_2 4)) (/.f64 -16 a)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -16 a) (*.f64 2 (*.f64 b_2 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 b_2 4) a) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 b_2 (*.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 b_2 (/.f64 2 a)))))))

simplify285.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best-simplify-64`
996×	`rational_best-simplify-48`
990×	`rational_best-simplify-52`
878×	`rational_best-simplify-63`
870×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	653
1	208	653
2	576	653
3	2250	633

Stop Event

1×	node limit

Counts

47 → 30

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 b_2 (/.f64 -2 a)) 0)
(+.f64 0 (*.f64 b_2 (/.f64 -2 a)))
(+.f64 (.f64 b_2 (/.f64 -1 a)) (.f64 b_2 (/.f64 -1 a)))
(+.f64 (/.f64 (.f64 b_2 (/.f64 -2 a)) 4) (+.f64 (/.f64 (.f64 b_2 (/.f64 -2 a)) 4) (*.f64 b_2 (/.f64 -1 a))))
(-.f64 (*.f64 b_2 (/.f64 -2 a)) 0)
(-.f64 (.f64 b_2 (/.f64 -1 a)) (/.f64 (neg.f64 (.f64 b_2 (/.f64 -2 a))) 2))
(-.f64 (.f64 b_2 (/.f64 -1 a)) (neg.f64 (.f64 b_2 (/.f64 -1 a))))
(-.f64 (.f64 b_2 (/.f64 -1 a)) (+.f64 (/.f64 (neg.f64 (.f64 b_2 (/.f64 -2 a))) 2) 0))
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (.f64 b_2 (/.f64 -2 a)) 4) (.f64 b_2 (/.f64 -1 a))) (-.f64 0 (/.f64 (*.f64 b_2 (/.f64 -2 a)) 4)))
(/.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(/.f64 (*.f64 b_2 (/.f64 -4 a)) 2)
(/.f64 (*.f64 b_2 (/.f64 -8 a)) 4)
(/.f64 (*.f64 b_2 (/.f64 -16 a)) 8)
(/.f64 (*.f64 (+.f64 b_2 b_2) (/.f64 -16 a)) 16)
(/.f64 (+.f64 (.f64 b_2 (/.f64 -16 a)) (.f64 b_2 (/.f64 -16 a))) 16)
(/.f64 (+.f64 (.f64 (+.f64 b_2 b_2) (/.f64 -16 a)) (.f64 (+.f64 b_2 b_2) (/.f64 -16 a))) 32)
(/.f64 (.f64 (.f64 2 (*.f64 b_2 4)) (/.f64 -16 a)) 64)
(/.f64 (.f64 (/.f64 -16 a) (.f64 2 (*.f64 b_2 4))) 64)
(/.f64 (.f64 (/.f64 (.f64 b_2 4) a) -2) 4)
(/.f64 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))
(pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(neg.f64 (*.f64 b_2 (/.f64 2 a)))

Outputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 b_2 (/.f64 -2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(+.f64 0 (*.f64 b_2 (/.f64 -2 a)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 b_2 (/.f64 -1 a)) (.f64 b_2 (/.f64 -1 a)))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (/.f64 (.f64 b_2 (/.f64 -2 a)) 4) (+.f64 (/.f64 (.f64 b_2 (/.f64 -2 a)) 4) (*.f64 b_2 (/.f64 -1 a))))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (*.f64 b_2 (/.f64 -2 a)) 0)
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (.f64 b_2 (/.f64 -1 a)) (/.f64 (neg.f64 (.f64 b_2 (/.f64 -2 a))) 2))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (.f64 b_2 (/.f64 -1 a)) (neg.f64 (.f64 b_2 (/.f64 -1 a))))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (.f64 b_2 (/.f64 -1 a)) (+.f64 (/.f64 (neg.f64 (.f64 b_2 (/.f64 -2 a))) 2) 0))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (.f64 b_2 (/.f64 -2 a)) 4) (.f64 b_2 (/.f64 -1 a))) (-.f64 0 (/.f64 (*.f64 b_2 (/.f64 -2 a)) 4)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 (/.f64 -4 a)) 2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 (/.f64 -8 a)) 4)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 (/.f64 -16 a)) 8)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 (+.f64 b_2 b_2) (/.f64 -16 a)) 16)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (+.f64 (.f64 b_2 (/.f64 -16 a)) (.f64 b_2 (/.f64 -16 a))) 16)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (+.f64 (.f64 (+.f64 b_2 b_2) (/.f64 -16 a)) (.f64 (+.f64 b_2 b_2) (/.f64 -16 a))) 32)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 (.f64 2 (*.f64 b_2 4)) (/.f64 -16 a)) 64)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 (/.f64 -16 a) (.f64 2 (*.f64 b_2 4))) 64)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (.f64 (/.f64 (.f64 b_2 4) a) -2) 4)
(/.f64 (.f64 -2 (/.f64 (.f64 b_2 4) a)) 4)
(/.f64 (*.f64 8 (neg.f64 (/.f64 b_2 a))) 4)
(/.f64 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))
(/.f64 (.f64 -2 (/.f64 b_2 (.f64 (.f64 a a) a))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -2 (/.f64 b_2 (.f64 a (.f64 a a)))) (/.f64 1 (.f64 a a)))
(.f64 -2 (/.f64 (/.f64 b_2 (.f64 a (.f64 a a))) (/.f64 1 (.f64 a a))))
(*.f64 -2 (-.f64 (/.f64 b_2 a) (/.f64 0 a)))
(pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)
(*.f64 -2 (/.f64 b_2 a))
(neg.f64 (*.f64 b_2 (/.f64 2 a)))
(*.f64 -2 (/.f64 b_2 a))

localize41.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
	0.2b	(*.f64 b_2 (/.f64 -2 a))
✓	0.2b	(*.f64 c (/.f64 1/2 b_2))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite361.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`rational_best-simplify-57`
1120×	`rational_best-4`
1120×	`rational_best-2`
1120×	`rational_best-3`
1120×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	91	44
2	211	44
3	602	44
4	2828	44

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify677.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational_best-simplify-65`
1032×	`rational_best-simplify-55`
750×	`rational_best-simplify-89`
660×	`rational_best-simplify-54`
616×	`rational_best-simplify-66`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	3195
1	631	3195
2	2156	3127

Stop Event

1×	node limit

Counts

147 → 108

Calls

Call 1

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

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

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a)))
✓	0.8b	(/.f64 1 (*.f64 a a))
✓	0.9b	(/.f64 (/.f64 b_2 a) (*.f64 a a))
✓	36.8b	(/.f64 (.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a))) (/.f64 1 (*.f64 a a)))

Compiler

Compiled 49 to 17 computations (65.3% saved)

series21.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
13.0ms	b_2	@	0	(/.f64 (/.f64 b_2 a) (*.f64 a a))
1.0ms	b_2	@	inf	(/.f64 (/.f64 b_2 a) (*.f64 a a))
1.0ms	a	@	0	(/.f64 (/.f64 b_2 a) (*.f64 a a))
1.0ms	b_2	@	-inf	(/.f64 (/.f64 b_2 a) (*.f64 a a))
1.0ms	b_2	@	-inf	(.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a)))

rewrite695.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`rational_best-simplify-65`
948×	`rational_best-simplify-67`
806×	`rational_best-simplify-55`
804×	`rational_best-simplify-78`
780×	`rational_best-simplify-89`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	98	100
2	304	100
3	1245	88

Stop Event

1×	node limit

Counts

4 → 443

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))) (/.f64 0 (/.f64 1 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))) (neg.f64 (/.f64 0 (/.f64 1 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))) (/.f64 (/.f64 0 (/.f64 1 (.f64 a a))) (/.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))) (/.f64 0 (/.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 1 (.f64 a a))) (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a))) (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 0 (/.f64 1 (.f64 a a))) (/.f64 a a)) (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a))) (/.f64 a a)) (/.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a))) (/.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a))) 2) (/.f64 (/.f64 (.f64 (/.f64 b_2 (.f64 a (.f64 a a))) -6) (/.f64 2 (.f64 a a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a))) (/.f64 (+.f64 a a) a)) (/.f64 (/.f64 (.f64 (/.f64 b_2 (.f64 a (.f64 a a))) -6) (/.f64 2 (.f64 a a))) (/.f64 (+.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))) (/.f64 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(.f64 a a))) (/.f64 0 (/.f64 4 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))) (/.f64 0 (/.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))) (/.f64 0 (/.f64 (+.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))) (/.f64 (neg.f64 (/.f64 0 (/.f64 1 (.f64 a a)))) (/.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 0 (/.f64 1 (.f64 a a))) (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (/.f64 1 (.f64 a a))) (neg.f64 (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a))) (neg.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 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((x -.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -4 (/.f64 1 a))) (-.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a))) (/.f64 a a)) (neg.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (/.f64 b_2 (.f64 a (.f64 a a))) -6) (/.f64 2 (.f64 a a))) 2) (/.f64 (neg.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (/.f64 b_2 (.f64 a (.f64 a a))) -6) (/.f64 2 (.f64 a a))) (/.f64 (+.f64 a a) a)) (/.f64 (neg.f64 (-.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) 2) (/.f64 0 (.f64 a a)))) (/.f64 (+.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (/.f64 b_2 (.f64 a (.f64 a a))) -6) (/.f64 4 (.f64 a 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a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 a 2) (.f64 a (.f64 a a))) (/.f64 (/.f64 (neg.f64 a) 2) (.f64 a (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 a a) (.f64 a (.f64 (.f64 a a) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (.f64 (.f64 a a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1 a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 a) (/.f64 1 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 a) (/.f64 (/.f64 1 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (.f64 a (.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 1 a) (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (.f64 a a)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 a)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fabs.f64 a)) (/.f64 1 (fabs.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 2 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 a a)) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (.f64 a a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 a (.f64 a 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 1 a)) (neg.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 a) (/.f64 1 (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 1 (.f64 (+.f64 a a) (.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (.f64 a a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))) 2) (/.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))) 4) (/.f64 (.f64 (/.f64 b_2 (.f64 a (.f64 a a))) -6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) 4) (/.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))) 2) (/.f64 (neg.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (/.f64 b_2 (.f64 a (.f64 a a))) -6) 4) (/.f64 (neg.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) 4) (/.f64 (neg.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b_2 (.f64 a (.f64 a a))) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (/.f64 b_2 a) 4) -2) (.f64 a (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b_2 (/.f64 2 a)) -4) (.f64 a (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 b_2 b_2) (/.f64 -4 a)) (.f64 a (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -4 a) (+.f64 b_2 b_2)) (.f64 a (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b_2 4) (/.f64 -2 a)) (.f64 a (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -4 (.f64 b_2 (/.f64 2 a))) (.f64 a (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -2 a) (.f64 b_2 4)) (.f64 a (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) (.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 2 a)))))))

simplify718.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1522×	`rational_best-simplify-50`
1206×	`rational_best-simplify-1`
794×	`rational_best-simplify-64`
616×	`rational_best-simplify-108`
586×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	916	15691
1	3001	13615

Stop Event

1×	node limit

Counts

527 → 648

Calls

Call 1

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

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

localize90.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1) a)
✓	4.5b	(+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1) a)) (/.f64 1 a))
✓	12.3b	(sqrt.f64 (neg.f64 (*.f64 c a)))

Compiler

Compiled 61 to 25 computations (59% saved)

series59.0ms (0.1%)

Counts

3 → 2

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	a	@	0	(+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1) a)) (/.f64 1 a))
4.0ms	c	@	0	(/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1) a)
3.0ms	c	@	inf	(/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1) a)
1.0ms	a	@	inf	(+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1) a)) (/.f64 1 a))
1.0ms	a	@	-inf	(+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1) a)) (/.f64 1 a))

rewrite514.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`rational_best-simplify-58`
706×	`rational_best-simplify-1`
678×	`rational_best-simplify-47`
544×	`rational_best-simplify-65`
446×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	104	81
2	252	67
3	1006	67
4	6547	67

Stop Event

1×	node limit

Counts

3 → 260

Calls

Call 1

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

Outputs

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

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

simplify836.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational_best-simplify-1`
1070×	`rational_best-simplify-63`
874×	`rational_best-simplify-3`
766×	`rational_best-simplify-56`
740×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	502	8640
1	1403	7750
2	4842	7716

Stop Event

1×	node limit

Counts

262 → 339

Calls

Call 1

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

eval2.8s (3.3%)

Compiler: Compiled 32515 to 15520 computations (52.3% saved)

prune4.6s (5.5%)

Pruning

73 alts after pruning (65 fresh and 8 done)

	Pruned	Kept	Total
New	1437	19	1456
Fresh	2	46	48
Picked	1	0	1
Done	0	8	8
Total	1440	73	1513

Error

0.1b

Counts

1513 → 73

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(/.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) a) (/.f64 1 a))
	46.9b	(/.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c a) b_2) -3/2) (.f64 (/.f64 a b_2) (.f64 -1/2 c))) 4) a)
	50.5b	(/.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 a a)) (/.f64 -1 a))
	43.6b	(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 a 2)) (/.f64 4 a))
	55.1b	(/.f64 (-.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1) a)
	49.3b	(/.f64 (-.f64 (neg.f64 (+.f64 1 b_2)) (+.f64 -1 b_2)) a)
✓	31.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	42.0b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	56.7b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	49.1b	(/.f64 (+.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) (*.f64 b_2 -2)) a)
	48.3b	(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	45.1b	(/.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) a)
	50.7b	(/.f64 (.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 -2 (*.f64 a a))) (/.f64 2 a))
	42.9b	(/.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) a)
▶	50.5b	(/.f64 (.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))) (neg.f64 (*.f64 a a)))
✓	45.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	51.7b	(/.f64 (.f64 -1/2 (.f64 (/.f64 (/.f64 1 b_2) b_2) (.f64 (.f64 c a) b_2))) a)
	50.9b	(/.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) (.f64 b_2 b_2)) b_2)) a)
	45.2b	(/.f64 (.f64 -1/2 (.f64 c (.f64 (.f64 a 4) (-.f64 (/.f64 1 b_2) (/.f64 3/4 b_2))))) a)
	47.8b	(/.f64 (.f64 -1/2 (.f64 b_2 (*.f64 (/.f64 c b_2) (/.f64 a b_2)))) a)
✓	58.2b	(/.f64 (.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a))) (/.f64 1 (*.f64 a a)))
	59.8b	(/.f64 (.f64 -2 (-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 2 a)) (/.f64 b_2 (.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
	58.7b	(/.f64 (.f64 -2 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) (.f64 a a)) (/.f64 1 (/.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
	58.2b	(/.f64 (.f64 -2 (.f64 8 (/.f64 (/.f64 b_2 a) (.f64 (+.f64 a a) (.f64 a 4))))) (/.f64 1 (*.f64 a a)))
	58.7b	(/.f64 (.f64 -2 (.f64 1 (/.f64 (.f64 (/.f64 2 a) (/.f64 (/.f64 b_2 (.f64 a a)) a)) (.f64 2 (/.f64 1 a))))) (/.f64 1 (.f64 a a)))
▶	58.2b	(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))
	49.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 c 2)) (sqrt.f64 (.f64 a -2)))) a)
	49.4b	(/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	41.1b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
▶	31.9b	(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))
	46.7b	(-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (*.f64 c (neg.f64 a)))) a) (/.f64 -1 a))
	32.3b	(-.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (.f64 a 4)) (/.f64 (-.f64 (-.f64 (+.f64 b_2 (.f64 b_2 1/2)) (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 b_2 -2)) (.f64 a 4)))
	32.3b	(-.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (.f64 a 4)) (/.f64 (+.f64 b_2 (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) (sqrt.f64 1/2))) (*.f64 a 4)))
✓	31.9b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
	48.0b	(-.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 3))
	48.0b	(-.f64 (/.f64 b_2 a) (*.f64 b_2 (/.f64 3 a)))
	55.9b	(-.f64 (/.f64 0 (.f64 a a)) (-.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -4 (/.f64 1 a)))))
	58.5b	(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 c (/.f64 -1/2 b_2))) (/.f64 b_2 a))
	47.9b	(+.f64 (/.f64 (-.f64 (neg.f64 b_2) (/.f64 b_2 4)) a) (.f64 (.f64 b_2 (/.f64 3 a)) -1/4))
	59.0b	(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (-.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) b_2)) a))
	49.4b	(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 b_2) a))
	48.3b	(+.f64 (*.f64 b_2 (/.f64 -2 a)) (/.f64 (/.f64 (/.f64 c (/.f64 b_2 2)) b_2) (/.f64 4 b_2)))
	48.1b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (/.f64 (-.f64 (.f64 c (/.f64 4 b_2)) (/.f64 c (/.f64 b_2 2))) 4))
	48.1b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (+.f64 (-.f64 (/.f64 c b_2) (/.f64 c (.f64 b_2 4))) (/.f64 (neg.f64 c) (*.f64 b_2 4))))
✓	48.1b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
	46.7b	(+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c (/.f64 -1/2 a)))) 1) a)) (/.f64 1 a))
	55.8b	(+.f64 (neg.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 1) (*.f64 a a)) a)) (/.f64 1 a))
	53.7b	(.f64 (/.f64 (/.f64 b_2 a) (/.f64 1 a)) (/.f64 (/.f64 -2 (.f64 a a)) (/.f64 1 a)))
	52.5b	(.f64 (/.f64 (/.f64 1/2 a) a) (.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))))
	50.3b	(.f64 (/.f64 (/.f64 -1 a) a) (.f64 a (sqrt.f64 (*.f64 c (neg.f64 a)))))
	58.5b	(.f64 (/.f64 (.f64 b_2 4) (/.f64 1 a)) (/.f64 (/.f64 (/.f64 -2 (.f64 a a)) (.f64 a 4)) (/.f64 1 a)))
	43.6b	(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))
	43.6b	(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) a)
	49.4b	(*.f64 (/.f64 (sqrt.f64 (neg.f64 a)) (neg.f64 a)) (sqrt.f64 c))
	50.1b	(*.f64 (/.f64 (sqrt.f64 c) (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
	39.4b	(*.f64 (/.f64 c b_2) -1/2)
	54.9b	(.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))
	47.1b	(.f64 (/.f64 1 a) (-.f64 (neg.f64 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 a b_2) (.f64 -1/2 c))))
	45.1b	(.f64 (/.f64 1 a) (.f64 c (*.f64 -1/2 (/.f64 a b_2))))
	45.2b	(.f64 (/.f64 1/2 a) (neg.f64 (/.f64 (.f64 c a) b_2)))
▶	39.4b	(*.f64 (/.f64 -1/2 b_2) c)
	41.2b	(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
	54.9b	(.f64 (/.f64 -4 (/.f64 1 a)) (.f64 b_2 (/.f64 1/2 (*.f64 a a))))
	39.4b	(.f64 (+.f64 (.f64 a (/.f64 2 a)) -1) (*.f64 -1/2 (/.f64 c b_2)))
	51.1b	(.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) (.f64 a (/.f64 1 (*.f64 a a))))
	45.3b	(.f64 (.f64 (*.f64 c a) (/.f64 -2 b_2)) (-.f64 (/.f64 1 a) (/.f64 3/4 a)))
▶	56.6b	(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (/.f64 (*.f64 a a) a))
	43.8b	(.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (.f64 c a) (+.f64 a a)))
	52.4b	(*.f64 (neg.f64 (sqrt.f64 (neg.f64 c))) (/.f64 (sqrt.f64 a) a))
	43.4b	(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 1 a)))
✓	47.9b	(*.f64 b_2 (/.f64 -2 a))
✓	47.9b	(*.f64 -2 (/.f64 b_2 a))
	53.1b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))

Compiler

Compiled 2427 to 1650 computations (32% saved)

localize388.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a))
	1.0b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	7.6b	(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))
	21.0b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 101 to 25 computations (75.2% saved)

series26.0ms (0%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))
1.0ms	c	@	inf	(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))
1.0ms	b_2	@	-inf	(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))
1.0ms	a	@	-inf	(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))
1.0ms	b_2	@	0	(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))

rewrite491.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`rational_best-simplify-47`
628×	`rational_best-simplify-48`
616×	`rational_best-simplify-52`
606×	`rational_best-simplify-57`
582×	`rational_best-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	108
1	127	108
2	329	104
3	1401	86

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs

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

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

Outputs

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

simplify1.1s (1.3%)

Algorithm

1×	egg-herbie

Rules

1534×	`rational_best-simplify-55`
896×	`rational_best-simplify-108`
894×	`rational_best-simplify-1`
864×	`rational_best-simplify-52`
700×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	455	12287
1	1342	11987
2	4394	11673

Stop Event

1×	node limit

Counts

189 → 368

Calls

Call 1

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

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

localize65.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite524.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`rational_best-2`
1966×	`rational_best-3`
1966×	`rational_best-1`
578×	`rational_best-simplify-49`
556×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	49	13
2	107	13
3	295	13
4	1038	13
5	5662	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 b_2) (*.f64 -1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c (*.f64 b_2 -4)) (/.f64 c (*.f64 b_2 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 c (*.f64 b_2 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 (/.f64 (*.f64 c (/.f64 -3/2 b_2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 (*.f64 c (/.f64 -3/2 b_2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 0 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 c (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 b_2) (*.f64 c (/.f64 1/2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 c (*.f64 b_2 -4)) (*.f64 c (/.f64 1/4 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 c (/.f64 1/4 b_2))) (*.f64 c (/.f64 1/4 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 c (*.f64 b_2 -4))) (-.f64 0 (/.f64 (/.f64 c (neg.f64 b_2)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 c (/.f64 -3/2 b_2)) 2) 2) (/.f64 c (*.f64 b_2 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c (/.f64 -3/2 b_2)) 4) (/.f64 c (*.f64 b_2 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 1/2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (neg.f64 b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c) (+.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (*.f64 b_2 -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 -2 b_2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -2) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c -2) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8 (/.f64 c b_2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 -4 b_2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 c) -2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 c) 1/2) (*.f64 b_2 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 c (/.f64 -4 b_2)) (*.f64 c (/.f64 -4 b_2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -8 (/.f64 c b_2)) (*.f64 -8 (/.f64 c b_2))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (neg.f64 c)) (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c 4)) (/.f64 -4 b_2)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -4 b_2) (*.f64 2 (*.f64 c 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 c (/.f64 1/2 b_2)))))))

simplify298.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

918×	`rational_best-simplify-63`
610×	`rational_best-simplify-52`
608×	`rational_best-simplify-66`
604×	`rational_best-simplify-47`
586×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	780
1	271	780
2	744	780
3	2721	780

Stop Event

1×	node limit

Counts

60 → 37

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(+.f64 0 (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (/.f64 0 b_2) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (/.f64 c (.f64 b_2 -4)) (/.f64 c (.f64 b_2 -4)))
(+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 c (*.f64 b_2 -4))))
(+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 (/.f64 (*.f64 c (/.f64 -3/2 b_2)) 2) 2))
(+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 (*.f64 c (/.f64 -3/2 b_2)) 4))
(-.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(-.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 0 b_2))
(-.f64 0 (*.f64 c (/.f64 1/2 b_2)))
(-.f64 (/.f64 0 b_2) (*.f64 c (/.f64 1/2 b_2)))
(-.f64 (/.f64 c (.f64 b_2 -4)) (.f64 c (/.f64 1/4 b_2)))
(-.f64 (neg.f64 (.f64 c (/.f64 1/4 b_2))) (.f64 c (/.f64 1/4 b_2)))
(-.f64 (+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 c (*.f64 b_2 -4))) (-.f64 0 (/.f64 (/.f64 c (neg.f64 b_2)) 8)))
(-.f64 (/.f64 (/.f64 (.f64 c (/.f64 -3/2 b_2)) 2) 2) (/.f64 c (.f64 b_2 8)))
(-.f64 (/.f64 (.f64 c (/.f64 -3/2 b_2)) 4) (/.f64 c (.f64 b_2 8)))
(/.f64 c (*.f64 b_2 -2))
(/.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(/.f64 (*.f64 c (/.f64 1/2 b_2)) -1)
(/.f64 (/.f64 c (neg.f64 b_2)) 2)
(/.f64 (neg.f64 c) (+.f64 b_2 b_2))
(/.f64 (/.f64 c (*.f64 b_2 -4)) 1/2)
(/.f64 (*.f64 c (/.f64 -2 b_2)) 4)
(/.f64 (.f64 c -2) (.f64 b_2 4))
(/.f64 (/.f64 c -2) b_2)
(/.f64 (*.f64 -8 (/.f64 c b_2)) 16)
(/.f64 (*.f64 c (/.f64 -4 b_2)) 8)
(/.f64 (/.f64 (neg.f64 c) -2) (neg.f64 b_2))
(/.f64 (/.f64 (neg.f64 c) 1/2) (*.f64 b_2 4))
(/.f64 (+.f64 (.f64 c (/.f64 -4 b_2)) (.f64 c (/.f64 -4 b_2))) 16)
(/.f64 (+.f64 (.f64 -8 (/.f64 c b_2)) (.f64 -8 (/.f64 c b_2))) 32)
(/.f64 (-.f64 0 (neg.f64 c)) (*.f64 b_2 -2))
(/.f64 (.f64 (.f64 2 (*.f64 c 4)) (/.f64 -4 b_2)) 64)
(/.f64 (.f64 (/.f64 -4 b_2) (.f64 2 (*.f64 c 4))) 64)
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(neg.f64 (*.f64 c (/.f64 1/2 b_2)))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 0 (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (/.f64 0 b_2) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (/.f64 c (.f64 b_2 -4)) (/.f64 c (.f64 b_2 -4)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 c (*.f64 b_2 -4))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 (/.f64 (*.f64 c (/.f64 -3/2 b_2)) 2) 2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 (*.f64 c (/.f64 -3/2 b_2)) 4))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (*.f64 -1/2 (/.f64 c b_2)) 0)
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 0 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 0 (*.f64 c (/.f64 1/2 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (/.f64 0 b_2) (*.f64 c (/.f64 1/2 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (/.f64 c (.f64 b_2 -4)) (.f64 c (/.f64 1/4 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (neg.f64 (.f64 c (/.f64 1/4 b_2))) (.f64 c (/.f64 1/4 b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (+.f64 (/.f64 (/.f64 c (neg.f64 b_2)) 8) (/.f64 c (*.f64 b_2 -4))) (-.f64 0 (/.f64 (/.f64 c (neg.f64 b_2)) 8)))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (/.f64 (/.f64 (.f64 c (/.f64 -3/2 b_2)) 2) 2) (/.f64 c (.f64 b_2 8)))
(*.f64 -1/2 (/.f64 c b_2))
(-.f64 (/.f64 (.f64 c (/.f64 -3/2 b_2)) 4) (/.f64 c (.f64 b_2 8)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 c (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c (/.f64 1/2 b_2)) -1)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 c (neg.f64 b_2)) 2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (neg.f64 c) (+.f64 b_2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 c (*.f64 b_2 -4)) 1/2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c (/.f64 -2 b_2)) 4)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (.f64 c -2) (.f64 b_2 4))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 c -2) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -8 (/.f64 c b_2)) 16)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c (/.f64 -4 b_2)) 8)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (neg.f64 c) -2) (neg.f64 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (/.f64 (neg.f64 c) 1/2) (*.f64 b_2 4))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (.f64 c (/.f64 -4 b_2)) (.f64 c (/.f64 -4 b_2))) 16)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (.f64 -8 (/.f64 c b_2)) (.f64 -8 (/.f64 c b_2))) 32)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (-.f64 0 (neg.f64 c)) (*.f64 b_2 -2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (.f64 (.f64 2 (*.f64 c 4)) (/.f64 -4 b_2)) 64)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (.f64 (/.f64 -4 b_2) (.f64 2 (*.f64 c 4))) 64)
(*.f64 -1/2 (/.f64 c b_2))
(pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 1)
(*.f64 -1/2 (/.f64 c b_2))
(neg.f64 (*.f64 c (/.f64 1/2 b_2)))
(*.f64 -1/2 (/.f64 c b_2))

localize66.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -2 a) a)
✓	7.0b	(*.f64 b_2 (/.f64 (/.f64 -2 a) a))
✓	14.5b	(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (/.f64 (*.f64 a a) a))
✓	27.5b	(/.f64 (*.f64 a a) a)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series16.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	(*.f64 b_2 (/.f64 (/.f64 -2 a) a))
1.0ms	b_2	@	0	(*.f64 b_2 (/.f64 (/.f64 -2 a) a))
1.0ms	b_2	@	inf	(*.f64 b_2 (/.f64 (/.f64 -2 a) a))
1.0ms	b_2	@	-inf	(*.f64 b_2 (/.f64 (/.f64 -2 a) a))
1.0ms	a	@	0	(*.f64 b_2 (/.f64 (/.f64 -2 a) a))

rewrite342.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`rational_best-simplify-55`
864×	`rational_best-simplify-53`
860×	`rational_best-simplify-49`
856×	`rational_best-simplify-50`
668×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	85	82
2	241	76
3	1053	46

Stop Event

1×	node limit

Counts

4 → 285

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (/.f64 0 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (neg.f64 (/.f64 0 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (/.f64 0 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (/.f64 (/.f64 0 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a 1/2) (.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a 4) (/.f64 (.f64 a 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 a a) (.f64 a 4)) (/.f64 (.f64 (.f64 a a) 3) (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 a 4)) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 1 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 0 a) (/.f64 1 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 a 1/2) 2) (/.f64 (.f64 a 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 1 (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (/.f64 0 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (neg.f64 (/.f64 0 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (+.f64 (/.f64 0 a) (neg.f64 (/.f64 0 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (+.f64 (neg.f64 (/.f64 0 a)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (+.f64 (neg.f64 (/.f64 0 a)) (/.f64 0 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (+.f64 (neg.f64 (/.f64 0 a)) (neg.f64 (/.f64 0 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (/.f64 0 (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (/.f64 0 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (/.f64 (/.f64 0 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (/.f64 0 (/.f64 1 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 0 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 a a) a)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 a) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a 1/2) (/.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a 1/2) (/.f64 (.f64 a -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a 1/2) (/.f64 (.f64 a (.f64 a -2)) (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 0 a)) (/.f64 -1 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 a 3) 4) (/.f64 (neg.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 a 3/2) 2) (/.f64 (/.f64 a -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 a a) 3) (.f64 a 4)) (/.f64 (neg.f64 (.f64 a a)) (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (+.f64 a a)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 a) (.f64 1 (/.f64 (.f64 a a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 a) (/.f64 (fabs.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 a) (.f64 1 (/.f64 (fabs.f64 a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 a) (+.f64 (/.f64 (fabs.f64 a) (+.f64 a a)) (/.f64 (fabs.f64 a) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 4) (/.f64 a (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 a a) 4) (/.f64 1 (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 a a) 4) (/.f64 1/2 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 a (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 1 (/.f64 1 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (.f64 a a)) (/.f64 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 a a) (+.f64 a a)) (/.f64 1/2 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 a) (.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 a 4)) (.f64 (.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (.f64 a a) 4)) (/.f64 1 (.f64 2 (.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (.f64 a -2)) (/.f64 1/2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 (neg.f64 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 a) (+.f64 a a)) (.f64 (fabs.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 a) (+.f64 a a)) (/.f64 (fabs.f64 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 a) a) (fabs.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fabs.f64 a) 2) (/.f64 (fabs.f64 a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (neg.f64 a)) (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) a) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 a) (+.f64 a a)) (.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a a) (.f64 a (+.f64 a a))) (/.f64 (/.f64 1/2 a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a a) (.f64 (.f64 a a) 4)) (/.f64 (/.f64 1 (.f64 a 4)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (.f64 (.f64 a a) 4)) (/.f64 (/.f64 1 (.f64 a 4)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a a) (neg.f64 a)) (/.f64 -1 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 a) (neg.f64 a)) (/.f64 -1 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) (.f64 a a)) (/.f64 -1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) (.f64 a (+.f64 a a))) (/.f64 (/.f64 1/2 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (fabs.f64 a)) (/.f64 (/.f64 (fabs.f64 a) a) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a a) (fabs.f64 a)) (/.f64 (/.f64 (fabs.f64 a) a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) (fabs.f64 a)) (/.f64 (/.f64 (fabs.f64 a) a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 a) (fabs.f64 a)) (/.f64 (/.f64 (fabs.f64 a) a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) (.f64 (.f64 a a) 4)) (/.f64 (/.f64 1 (.f64 a 4)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 a) (.f64 (.f64 a a) 4)) (/.f64 (/.f64 1 (.f64 a 4)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 a) -1) (/.f64 (neg.f64 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (/.f64 (fabs.f64 a) a)) (/.f64 (fabs.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a a) (/.f64 (fabs.f64 a) a)) (/.f64 (fabs.f64 a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) (/.f64 (fabs.f64 a) a)) (/.f64 (fabs.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (*.f64 (/.f64 1 a) (/.f64 (fabs.f64 a) a)) (/.f64 (fabs.f64 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1)))) (#(struct:change #<rule egg-rr> (2) ((x . a)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2 (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 a) (.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 -2 (/.f64 b_2 a))) (.f64 1/2 (.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 1 a)) (.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -2 (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 0 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (.f64 -2 (/.f64 b_2 a))) (/.f64 (.f64 2 (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 -2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 -4 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) a)) (.f64 2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) a)) (.f64 (/.f64 1 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 b_2 a)) (.f64 (neg.f64 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b_2 -2) (fabs.f64 a)) (.f64 (fabs.f64 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 -4) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 -2 (/.f64 b_2 a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (.f64 b_2 -2)) (.f64 a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 b_2 (/.f64 -4 a))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -8 (/.f64 b_2 (.f64 a a))) (.f64 4 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -8 (/.f64 b_2 (.f64 a a))) (.f64 (/.f64 2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 -8) (.f64 (.f64 (.f64 a a) 4) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b_2 -2) (/.f64 1 a)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (/.f64 b_2 a)) (/.f64 1 a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (.f64 b_2 -2) (fabs.f64 a)) (/.f64 1 a)) (fabs.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b_2 -4) (/.f64 1 a)) (.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -8 (/.f64 b_2 (.f64 a a))) (/.f64 1 a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b_2 -8) (/.f64 1 a)) (.f64 (.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 a a) (.f64 b_2 -2)) a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 -2 (/.f64 b_2 a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a 4) (.f64 -8 (/.f64 b_2 (.f64 a a)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a (+.f64 a a)) (.f64 b_2 -4)) (.f64 (+.f64 a a) (.f64 a (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 a a) 4) (.f64 b_2 -8)) (.f64 (.f64 a 4) (.f64 (.f64 a a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -8 (/.f64 b_2 (.f64 a a))) (.f64 a 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (+.f64 b_2 b_2)) (/.f64 (.f64 a -8) (.f64 a a))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -8 (.f64 a a)) (.f64 (.f64 a 4) b_2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 a a)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 a 4) b_2) (/.f64 -8 (.f64 a a))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 a -8) (.f64 a a)) (.f64 2 (+.f64 b_2 b_2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) a) (.f64 (.f64 a a) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1/2 a) (.f64 b_2 -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (.f64 2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (fabs.f64 a) a) (/.f64 (.f64 b_2 -2) (fabs.f64 a))) (/.f64 (fabs.f64 a) (fabs.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (.f64 a 4)) (.f64 b_2 -8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b_2 2) (/.f64 -4 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) (/.f64 1 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (.f64 -2 (/.f64 b_2 a))) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b_2 (/.f64 -2 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1 a) (/.f64 b_2 a)) (.f64 (/.f64 -1 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 a a)) (.f64 b_2 (/.f64 -2 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) (/.f64 0 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 -1 a) (/.f64 b_2 a)) (/.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) (neg.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (/.f64 b_2 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 -2) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 -4 a)) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 b_2 a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b_2 -2) (fabs.f64 a)) (fabs.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -1 a) (/.f64 b_2 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 -4) (.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 -2 (/.f64 b_2 a))) (.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 b_2 (/.f64 -4 a))) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -8 (/.f64 b_2 (.f64 a a))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 -8) (.f64 (.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (/.f64 b_2 a)) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b_2 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(.f64 b_2 (/.f64 -2 (.f64 a a))) 1)))))
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(.f64 a a)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 -1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -4 a) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -8 a) (/.f64 1 (.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (fabs.f64 a)) (/.f64 1 (fabs.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (/.f64 -4 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 a) (/.f64 -4 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 a a)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 a 4)) (/.f64 -8 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (.f64 a (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -8 (.f64 a a)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -16 a) (/.f64 1 (.f64 2 (.f64 a 4))))))) 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a -4) (/.f64 (/.f64 1/2 (.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) -4) (/.f64 (/.f64 1/2 (.f64 a a)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) (/.f64 -2 (.f64 a a))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a a) (/.f64 -8 a)) (/.f64 (/.f64 1 (.f64 a 4)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (/.f64 -8 a)) (/.f64 (/.f64 1 (.f64 a 4)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 a) (/.f64 -2 (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) (/.f64 (/.f64 -4 a) a)) (/.f64 1/2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 a) (/.f64 (/.f64 -4 a) a)) (.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 a) (/.f64 -8 a)) (/.f64 (/.f64 1 (.f64 a 4)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 a) (/.f64 -8 a)) (/.f64 (/.f64 1 (.f64 a 4)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (*.f64 a a)) 1)))))

simplify410.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational_best-simplify-108`
1118×	`rational_best-simplify-50`
1024×	`rational_best-simplify-55`
884×	`rational_best-simplify-1`
868×	`rational_best-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	6349
1	1879	5895

Stop Event

1×	node limit

Counts

357 → 339

Calls

Call 1

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

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

localize106.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (*.f64 a a))))
	0.8b	(/.f64 1 (*.f64 a a))
✓	0.9b	(/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))
✓	36.8b	(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))

Compiler

Compiled 61 to 28 computations (54.1% saved)

series20.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	a	@	inf	(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))
1.0ms	b_2	@	-inf	(/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))
1.0ms	b_2	@	inf	(/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))
0.0ms	b_2	@	0	(/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))
0.0ms	a	@	0	(/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))

rewrite358.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational_best-simplify-89`
966×	`rational_best-simplify-55`
600×	`rational_best-simplify-52`
568×	`rational_best-4`
568×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	105
1	113	93
2	360	93
3	1559	81

Stop Event

1×	node limit

Counts

3 → 279

Calls

Call 1

Inputs
(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))
(/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))
(.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (*.f64 a a))))

Outputs

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

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

simplify620.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1414×	`rational_best-simplify-108`
1346×	`rational_best-simplify-49`
1286×	`rational_best-simplify-53`
1068×	`rational_best-simplify-1`
938×	`rational_best-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	643	12989
1	2079	11855

Stop Event

1×	node limit

Counts

351 → 409

Calls

Call 1

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

Outputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 1/2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 b_2 (/.f64 1/2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(*.f64 -2 (/.f64 b_2 (pow.f64 a 3)))
(+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) 0)
(.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))
(*.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a))
(+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 (/.f64 1 a) a)))
(+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 1 (*.f64 a a))))
(+.f64 (.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a)) (/.f64 0 (/.f64 1 (.f64 a a))))
(+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (neg.f64 (/.f64 0 (/.f64 (/.f64 1 a) a))))
(+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 1 (*.f64 a a))))
(+.f64 (.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a)) (/.f64 0 (/.f64 1 (.f64 a a))))
(+.f64 0 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))))
(.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))
(*.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a))
(+.f64 (/.f64 0 (/.f64 (/.f64 1 a) a)) (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))))
(+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 1 (*.f64 a a))))
(+.f64 (.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a)) (/.f64 0 (/.f64 1 (.f64 a a))))
(+.f64 (/.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) 2) (/.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) 2))
(/.f64 (+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))) 2)
(/.f64 (*.f64 -4 (/.f64 (-.f64 b_2 (/.f64 0 a)) a)) 2)
(-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) 0)
(.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))
(*.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a))
(-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 (/.f64 1 a) a)))
(+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 1 (*.f64 a a))))
(+.f64 (.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a)) (/.f64 0 (/.f64 1 (.f64 a a))))
(-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (neg.f64 (/.f64 0 (/.f64 (/.f64 1 a) a))))
(+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 1 (*.f64 a a))))
(+.f64 (.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a)) (/.f64 0 (/.f64 1 (.f64 a a))))
(-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (+.f64 (/.f64 0 (/.f64 (/.f64 1 a) a)) (neg.f64 (/.f64 0 (/.f64 (/.f64 1 a) a)))))
(+.f64 (+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 1 (.f64 a a)))) (neg.f64 (/.f64 0 (/.f64 1 (.f64 a a)))))
(+.f64 (/.f64 0 (/.f64 1 (.f64 a a))) (+.f64 (.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a)) (/.f64 0 (/.f64 1 (*.f64 a a)))))
(-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (+.f64 (neg.f64 (/.f64 0 (/.f64 (/.f64 1 a) a))) 0))
(+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 1 (*.f64 a a))))
(+.f64 (.f64 -2 (/.f64 (-.f64 b_2 (/.f64 0 a)) a)) (/.f64 0 (/.f64 1 (.f64 a a))))
(-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (+.f64 (neg.f64 (/.f64 0 (/.f64 (/.f64 1 a) a))) (/.f64 0 (/.f64 (/.f64 1 a) a))))
(+.f64 (+.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a))) (/.f64 0 (/.f64 1 (.f64 a a)))) (neg.f64 (/.f64 0 (/.f64 1 (.f64 a a)))))
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(/.f64 (.f64 (.f64 (/.f64 b_2 a) 2) -4) (.f64 a (.f64 a 4)))
(/.f64 (.f64 b_2 (/.f64 -8 a)) (.f64 4 (*.f64 a a)))
(/.f64 (.f64 (/.f64 b_2 a) -8) (.f64 a (*.f64 a 4)))
(/.f64 (.f64 (/.f64 -4 a) (+.f64 b_2 b_2)) (.f64 a (*.f64 a 4)))
(/.f64 (.f64 -4 (/.f64 (+.f64 b_2 b_2) a)) (.f64 4 (*.f64 a a)))
(/.f64 (.f64 -4 (/.f64 (+.f64 b_2 b_2) a)) (.f64 a (*.f64 a 4)))
(/.f64 (.f64 (+.f64 b_2 b_2) (/.f64 -4 a)) (.f64 a (*.f64 a 4)))
(/.f64 (.f64 -4 (/.f64 (+.f64 b_2 b_2) a)) (.f64 4 (*.f64 a a)))
(/.f64 (.f64 -4 (/.f64 (+.f64 b_2 b_2) a)) (.f64 a (*.f64 a 4)))
(/.f64 (.f64 b_2 (/.f64 -4 (+.f64 a a))) (.f64 a a))
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))
(/.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) 2)) (.f64 a a))
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))
(/.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 a a))
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))
(/.f64 (.f64 (.f64 b_2 4) (/.f64 -8 a)) (.f64 4 (.f64 a (*.f64 a 4))))
(/.f64 (.f64 -8 (/.f64 (.f64 b_2 4) a)) (.f64 4 (.f64 4 (*.f64 a a))))
(/.f64 (.f64 (/.f64 b_2 a) -32) (.f64 (*.f64 a a) 16))
(/.f64 (.f64 (.f64 (/.f64 b_2 a) 4) (/.f64 -8 (*.f64 a a))) 16)
(/.f64 (.f64 (/.f64 -8 (.f64 a a)) (*.f64 (/.f64 b_2 a) 4)) 16)
(/.f64 (.f64 (/.f64 (/.f64 b_2 a) (.f64 a a)) -32) 16)
(/.f64 (.f64 (/.f64 b_2 2) (/.f64 -4 a)) (.f64 a a))
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))
(/.f64 (.f64 (/.f64 -4 (+.f64 a a)) b_2) (.f64 a a))
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))
(/.f64 (.f64 (/.f64 (/.f64 -4 a) 2) b_2) (.f64 a a))
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))
(/.f64 (.f64 (/.f64 -2 a) b_2) (.f64 a a))
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))
(/.f64 (.f64 (/.f64 -8 (.f64 a a)) (*.f64 (/.f64 b_2 a) 4)) 16)
(/.f64 (.f64 (/.f64 (/.f64 b_2 a) (.f64 a a)) -32) 16)
(/.f64 (.f64 (/.f64 -8 a) (.f64 b_2 4)) (.f64 4 (.f64 a (*.f64 a 4))))
(/.f64 (.f64 -8 (/.f64 (.f64 b_2 4) a)) (.f64 4 (.f64 4 (*.f64 a a))))
(/.f64 (.f64 (/.f64 b_2 a) -32) (.f64 (*.f64 a a) 16))
(/.f64 (.f64 (.f64 b_2 4) (/.f64 -4 (+.f64 a a))) (.f64 a (.f64 a 4)))
(/.f64 (.f64 b_2 (/.f64 -8 a)) (.f64 4 (*.f64 a a)))
(/.f64 (.f64 (/.f64 b_2 a) -8) (.f64 a (*.f64 a 4)))
(/.f64 (.f64 -4 (.f64 (/.f64 b_2 a) 1/2)) (*.f64 a a))
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))
(/.f64 (.f64 -8 (/.f64 b_2 a)) (.f64 a (*.f64 a 4)))
(/.f64 (.f64 b_2 (/.f64 -8 a)) (.f64 4 (*.f64 a a)))
(/.f64 (.f64 (/.f64 b_2 a) -8) (.f64 a (*.f64 a 4)))
(/.f64 (.f64 (/.f64 -4 a) (/.f64 b_2 2)) (.f64 a a))
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))
(/.f64 (.f64 (/.f64 -4 (+.f64 a a)) (.f64 b_2 4)) (.f64 a (.f64 a 4)))
(/.f64 (.f64 b_2 (/.f64 -8 a)) (.f64 4 (*.f64 a a)))
(/.f64 (.f64 (/.f64 b_2 a) -8) (.f64 a (*.f64 a 4)))
(pow.f64 (*.f64 (/.f64 b_2 a) (/.f64 (/.f64 -2 a) a)) 1)
(.f64 (/.f64 b_2 a) (/.f64 -2 (.f64 a a)))

localize37.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 a (sqrt.f64 (.f64 a (neg.f64 c))))
✓	12.3b	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	19.2b	(/.f64 (.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))) (neg.f64 (*.f64 a a)))

Compiler

Compiled 42 to 10 computations (76.2% saved)

series34.0ms (0%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	c	@	0	(.f64 a (sqrt.f64 (.f64 a (neg.f64 c))))
1.0ms	a	@	0	(.f64 a (sqrt.f64 (.f64 a (neg.f64 c))))
1.0ms	c	@	inf	(.f64 a (sqrt.f64 (.f64 a (neg.f64 c))))
1.0ms	a	@	inf	(.f64 a (sqrt.f64 (.f64 a (neg.f64 c))))
1.0ms	c	@	-inf	(.f64 a (sqrt.f64 (.f64 a (neg.f64 c))))

rewrite322.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`rational_best-simplify-49`
696×	`rational_best-simplify-53`
572×	`rational_best-simplify-54`
536×	`rational_best-simplify-55`
506×	`rational_best-simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	93	73
2	261	61
3	1071	61

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

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

Outputs

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

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

simplify843.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational_best-simplify-55`
1038×	`rational_best-simplify-47`
1032×	`rational_best-simplify-1`
1018×	`rational_best-simplify-50`
996×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	526	7022
1	1638	6592
2	7131	6526

Stop Event

1×	node limit

Counts

238 → 288

Calls

Call 1

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

eval3.8s (4.5%)

Compiler: Compiled 35898 to 16283 computations (54.6% saved)

prune6.4s (7.6%)

Pruning

86 alts after pruning (75 fresh and 11 done)

	Pruned	Kept	Total
New	1568	27	1595
Fresh	12	48	60
Picked	0	1	1
Done	2	10	12
Total	1582	86	1668

Error

0.1b

Counts

1668 → 86

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(/.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) a) (/.f64 1 a))
	46.9b	(/.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c a) b_2) -3/2) (.f64 (/.f64 a b_2) (.f64 -1/2 c))) 4) a)
	55.6b	(/.f64 (/.f64 (.f64 b_2 -2) (/.f64 1 a)) (.f64 a a))
	47.9b	(/.f64 (/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1 a)) a)
	50.5b	(/.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 a a)) (/.f64 -1 a))
	43.6b	(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 a 2)) (/.f64 4 a))
	39.4b	(/.f64 (/.f64 c -2) b_2)
	55.1b	(/.f64 (-.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1) a)
	49.3b	(/.f64 (-.f64 (neg.f64 (+.f64 1 b_2)) (+.f64 -1 b_2)) a)
✓	31.6b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	42.0b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	56.7b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
	49.1b	(/.f64 (+.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) (*.f64 b_2 -2)) a)
	48.3b	(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
	54.9b	(/.f64 (.f64 (/.f64 b_2 (.f64 a a)) (*.f64 a -32)) 16)
	45.1b	(/.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) a)
	56.5b	(/.f64 (.f64 (.f64 a a) (.f64 -2 (/.f64 b_2 a))) (.f64 a a))
	55.0b	(/.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) a)) (.f64 (/.f64 1 a) 2))
	54.9b	(/.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) (/.f64 1 a))
	42.9b	(/.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) a)
✓	50.5b	(/.f64 (.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))) (neg.f64 (*.f64 a a)))
	47.9b	(/.f64 (.f64 2 (/.f64 b_2 a)) (.f64 (neg.f64 a) (/.f64 1 a)))
✓	45.2b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	51.7b	(/.f64 (.f64 -1/2 (.f64 (/.f64 (/.f64 1 b_2) b_2) (.f64 (.f64 c a) b_2))) a)
	50.9b	(/.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) (.f64 b_2 b_2)) b_2)) a)
	45.2b	(/.f64 (.f64 -1/2 (.f64 c (.f64 (.f64 a 4) (-.f64 (/.f64 1 b_2) (/.f64 3/4 b_2))))) a)
	47.8b	(/.f64 (.f64 -1/2 (.f64 b_2 (*.f64 (/.f64 c b_2) (/.f64 a b_2)))) a)
✓	58.2b	(/.f64 (.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a))) (/.f64 1 (*.f64 a a)))
	59.8b	(/.f64 (.f64 -2 (-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 2 a)) (/.f64 b_2 (.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
	58.7b	(/.f64 (.f64 -2 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) (.f64 a a)) (/.f64 1 (/.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
	58.2b	(/.f64 (.f64 -2 (.f64 8 (/.f64 (/.f64 b_2 a) (.f64 (+.f64 a a) (.f64 a 4))))) (/.f64 1 (*.f64 a a)))
✓	58.2b	(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))
	58.9b	(/.f64 (.f64 -4 (.f64 (/.f64 2 (/.f64 (/.f64 a a) a)) (/.f64 b_2 (.f64 a (.f64 (.f64 a a) (.f64 a 4)))))) (/.f64 1 (*.f64 a a)))
	49.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 c 2)) (sqrt.f64 (.f64 a -2)))) a)
	49.4b	(/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	41.1b	(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	31.9b	(-.f64 (/.f64 (-.f64 (/.f64 b_2 -2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (/.f64 b_2 (+.f64 a a)))
	46.7b	(-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (*.f64 c (neg.f64 a)))) a) (/.f64 -1 a))
	32.3b	(-.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (.f64 a 4)) (/.f64 (+.f64 b_2 (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) (sqrt.f64 1/2))) (*.f64 a 4)))
✓	31.9b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
	48.0b	(-.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 3))
	48.0b	(-.f64 (/.f64 b_2 a) (*.f64 b_2 (/.f64 3 a)))
	55.9b	(-.f64 (/.f64 0 (.f64 a a)) (-.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -4 (/.f64 1 a)))))
	58.5b	(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 c (/.f64 -1/2 b_2))) (/.f64 b_2 a))
	59.3b	(-.f64 (*.f64 b_2 (/.f64 1/2 a)) (/.f64 b_2 (+.f64 a a)))
	47.9b	(-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b_2) b_2) a)) (/.f64 b_2 (+.f64 a a)))
	59.0b	(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (-.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) b_2)) a))
	49.4b	(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 b_2) a))
	32.5b	(+.f64 (/.f64 b_2 (.f64 a -4)) (/.f64 (.f64 (-.f64 (-.f64 (.f64 b_2 -2) b_2) (.f64 4 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 1 a)) 4))
	48.3b	(+.f64 (*.f64 b_2 (/.f64 -2 a)) (/.f64 (/.f64 (/.f64 c (/.f64 b_2 2)) b_2) (/.f64 4 b_2)))
	48.1b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (/.f64 (-.f64 (.f64 c (/.f64 4 b_2)) (/.f64 c (/.f64 b_2 2))) 4))
	48.1b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (+.f64 (-.f64 (/.f64 c b_2) (/.f64 c (.f64 b_2 4))) (/.f64 (neg.f64 c) (*.f64 b_2 4))))
✓	48.1b	(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
	46.7b	(+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c (/.f64 -1/2 a)))) 1) a)) (/.f64 1 a))
	55.8b	(+.f64 (neg.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 1) (*.f64 a a)) a)) (/.f64 1 a))
	53.7b	(*.f64 (/.f64 (/.f64 (/.f64 -2 a) a) (/.f64 1 a)) (/.f64 (/.f64 b_2 a) (/.f64 1 a)))
	52.5b	(.f64 (/.f64 (/.f64 1/2 a) a) (.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))))
	60.0b	(.f64 (/.f64 (/.f64 -1/2 (.f64 a a)) a) (/.f64 (.f64 b_2 4) (/.f64 1 (.f64 a a))))
	53.6b	(.f64 (/.f64 (.f64 (/.f64 b_2 a) 4) (/.f64 1 a)) (/.f64 -4 (.f64 (.f64 (*.f64 a a) 8) (/.f64 1 a))))
	56.5b	(.f64 (/.f64 (.f64 (+.f64 b_2 b_2) -16) (.f64 (.f64 a 4) (.f64 a 4))) (/.f64 (.f64 a a) a))
	43.6b	(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))
	43.6b	(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) a)
	56.4b	(.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) a) (/.f64 (*.f64 a a) a))
	49.4b	(*.f64 (/.f64 (sqrt.f64 (neg.f64 a)) (neg.f64 a)) (sqrt.f64 c))
	52.4b	(*.f64 (/.f64 (sqrt.f64 a) a) (neg.f64 (sqrt.f64 (neg.f64 c))))
	47.1b	(.f64 (/.f64 1 a) (-.f64 (neg.f64 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 a b_2) (.f64 -1/2 c))))
	45.1b	(.f64 (/.f64 1 a) (.f64 c (*.f64 -1/2 (/.f64 a b_2))))
	45.2b	(.f64 (/.f64 1/2 a) (neg.f64 (/.f64 (.f64 c a) b_2)))
✓	39.4b	(*.f64 (/.f64 -1/2 b_2) c)
	50.8b	(.f64 (/.f64 -1 (.f64 a a)) (.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))))
	41.2b	(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
	39.4b	(.f64 (+.f64 (.f64 a (/.f64 2 a)) -1) (*.f64 -1/2 (/.f64 c b_2)))
	51.1b	(.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) (.f64 a (/.f64 1 (*.f64 a a))))
	45.3b	(.f64 (.f64 (*.f64 c a) (/.f64 -2 b_2)) (-.f64 (/.f64 1 a) (/.f64 3/4 a)))
	59.4b	(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (.f64 (.f64 a (.f64 a a)) (/.f64 1 (.f64 a a))))
	55.0b	(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) a)
	56.6b	(.f64 (.f64 b_2 (-.f64 (/.f64 (/.f64 -4 a) a) (/.f64 -2 (.f64 a a)))) (/.f64 (.f64 a a) a))
	58.8b	(.f64 (.f64 b_2 (.f64 (.f64 a -4) (/.f64 (/.f64 1/2 (.f64 a a)) a))) (/.f64 (.f64 a a) a))
	50.1b	(.f64 (sqrt.f64 (neg.f64 a)) (.f64 (sqrt.f64 c) (/.f64 -1 a)))
	43.8b	(.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (.f64 c a) (+.f64 a a)))
	43.4b	(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 1 a)))
✓	47.9b	(*.f64 b_2 (/.f64 -2 a))
	41.2b	(.f64 1 (/.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (/.f64 a 2) -1/2)) (/.f64 (.f64 a (/.f64 2 a)) 1/2)))
	58.0b	(.f64 1/2 (/.f64 (/.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) (/.f64 1 a)) (/.f64 1 a)))
✓	47.9b	(*.f64 -2 (/.f64 b_2 a))
	53.1b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))

Compiler

Compiled 1483 to 1008 computations (32% saved)

regimes6.1s (7.3%)

Counts

111 → 3

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 (/.f64 c -2) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) a)
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) a)
(-.f64 (/.f64 b_2 a) (*.f64 b_2 (/.f64 3 a)))
(-.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 3))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) a)
(/.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) a)
(.f64 (/.f64 1/2 a) (neg.f64 (/.f64 (.f64 c a) b_2)))
(/.f64 (-.f64 (neg.f64 (+.f64 1 b_2)) (+.f64 -1 b_2)) a)
(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 1 a)))
(.f64 (/.f64 1 a) (.f64 c (*.f64 -1/2 (/.f64 a b_2))))
(.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 b_2) a))
(-.f64 (*.f64 b_2 (/.f64 1/2 a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) (/.f64 1 a))
(/.f64 (.f64 (/.f64 b_2 (.f64 a a)) (*.f64 a -32)) 16)
(/.f64 (/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1 a)) a)
(/.f64 (/.f64 (.f64 b_2 -2) (/.f64 1 a)) (.f64 a a))
(.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (.f64 c a) (+.f64 a a)))
(/.f64 (.f64 2 (/.f64 b_2 a)) (.f64 (neg.f64 a) (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 a 2)) (/.f64 4 a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (/.f64 (*.f64 a a) a))
(.f64 (+.f64 (.f64 a (/.f64 2 a)) -1) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 (/.f64 -4 (/.f64 1 a)) (.f64 b_2 (/.f64 1/2 (*.f64 a a))))
(.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) a) (/.f64 (*.f64 a a) a))
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 c (/.f64 -1/2 b_2))) (/.f64 b_2 a))
(/.f64 (.f64 -1/2 (.f64 b_2 (*.f64 (/.f64 c b_2) (/.f64 a b_2)))) a)
(/.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) (.f64 b_2 b_2)) b_2)) a)
(/.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) a)) (.f64 (/.f64 1 a) 2))
(/.f64 (.f64 (.f64 a a) (.f64 -2 (/.f64 b_2 a))) (.f64 a a))
(/.f64 (+.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) (*.f64 b_2 -2)) a)
(/.f64 (-.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1) a)
(.f64 (/.f64 (/.f64 1/2 a) a) (.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))))
(.f64 (.f64 (*.f64 c a) (/.f64 -2 b_2)) (-.f64 (/.f64 1 a) (/.f64 3/4 a)))
(.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) (.f64 a (/.f64 1 (*.f64 a a))))
(-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b_2) b_2) a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 (/.f64 (/.f64 1 b_2) b_2) (.f64 (.f64 c a) b_2))) a)
(+.f64 (/.f64 (-.f64 (neg.f64 b_2) (/.f64 b_2 4)) a) (.f64 (.f64 b_2 (/.f64 3 a)) -1/4))
(.f64 (/.f64 (/.f64 -1/2 (.f64 a a)) a) (/.f64 (.f64 b_2 4) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (/.f64 b_2 a) (/.f64 1 a)) (/.f64 (/.f64 -2 (.f64 a a)) (/.f64 1 a)))
(*.f64 (/.f64 (/.f64 (/.f64 -2 a) a) (/.f64 1 a)) (/.f64 (/.f64 b_2 a) (/.f64 1 a)))
(+.f64 (*.f64 b_2 (/.f64 -2 a)) (/.f64 (/.f64 (/.f64 c (/.f64 b_2 2)) b_2) (/.f64 4 b_2)))
(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 c (.f64 (.f64 a 4) (-.f64 (/.f64 1 b_2) (/.f64 3/4 b_2))))) a)
(/.f64 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))
(.f64 (/.f64 1 a) (-.f64 (neg.f64 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 a b_2) (.f64 -1/2 c))))
(.f64 1/2 (/.f64 (/.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) (/.f64 1 a)) (/.f64 1 a)))
(.f64 (.f64 b_2 (.f64 (.f64 a -4) (/.f64 (/.f64 1/2 (.f64 a a)) a))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (-.f64 (/.f64 (/.f64 -4 a) a) (/.f64 -2 (.f64 a a)))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (.f64 (.f64 a (.f64 a a)) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (.f64 (+.f64 b_2 b_2) -16) (.f64 (.f64 a 4) (.f64 a 4))) (/.f64 (.f64 a a) a))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (/.f64 (-.f64 (.f64 c (/.f64 4 b_2)) (/.f64 c (/.f64 b_2 2))) 4))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (-.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) b_2)) a))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c a) b_2) -3/2) (.f64 (/.f64 a b_2) (.f64 -1/2 c))) 4) a)
(.f64 (/.f64 (.f64 b_2 4) (/.f64 1 a)) (/.f64 (/.f64 (/.f64 -2 (.f64 a a)) (.f64 a 4)) (/.f64 1 a)))
(.f64 (/.f64 (.f64 (/.f64 b_2 a) 4) (/.f64 1 a)) (/.f64 -4 (.f64 (.f64 (*.f64 a a) 8) (/.f64 1 a))))
(/.f64 (.f64 -2 (.f64 8 (/.f64 (/.f64 b_2 a) (.f64 (+.f64 a a) (.f64 a 4))))) (/.f64 1 (*.f64 a a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (+.f64 (-.f64 (/.f64 c b_2) (/.f64 c (.f64 b_2 4))) (/.f64 (neg.f64 c) (*.f64 b_2 4))))
(-.f64 (/.f64 0 (.f64 a a)) (-.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -4 (/.f64 1 a)))))
(/.f64 (.f64 -2 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) (.f64 a a)) (/.f64 1 (/.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -2 (-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 2 a)) (/.f64 b_2 (.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -4 (.f64 (/.f64 2 (/.f64 (/.f64 a a) a)) (/.f64 b_2 (.f64 a (.f64 (.f64 a a) (.f64 a 4)))))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -2 (.f64 1 (/.f64 (.f64 (/.f64 2 a) (/.f64 (/.f64 b_2 (.f64 a a)) a)) (.f64 2 (/.f64 1 a))))) (/.f64 1 (.f64 a a)))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))) (neg.f64 (*.f64 a a)))
(.f64 (/.f64 -1 (.f64 a a)) (.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (/.f64 (/.f64 -1 a) a) (.f64 a (sqrt.f64 (*.f64 c (neg.f64 a)))))
(-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (*.f64 c (neg.f64 a)))) a) (/.f64 -1 a))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (/.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (.f64 a a)) (/.f64 -1 a))
(+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1) a)) (/.f64 1 a))
(.f64 (/.f64 1 a) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)) (/.f64 b_2 a))
(/.f64 (.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (/.f64 -2 (*.f64 a a))) (/.f64 2 a))
(.f64 a (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a a)))
(+.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c (/.f64 -1/2 a)))) 1) a)) (/.f64 1 a))
(+.f64 (neg.f64 (.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 c (neg.f64 a))) 1) (*.f64 a a)) a)) (/.f64 1 a))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(.f64 (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (/.f64 1 a) a))
(/.f64 (/.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) a) (/.f64 1 a))
(-.f64 (/.f64 (-.f64 (/.f64 b_2 -2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (/.f64 b_2 (+.f64 a a)))
(.f64 1 (/.f64 (/.f64 (sqrt.f64 (.f64 a (neg.f64 c))) (.f64 (/.f64 a 2) -1/2)) (/.f64 (.f64 a (/.f64 2 a)) 1/2)))
(+.f64 (/.f64 (-.f64 1 b_2) a) (.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a a)) a))
(-.f64 (/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 2)) (+.f64 a a)) (/.f64 b_2 (+.f64 a a)))
(+.f64 (/.f64 b_2 (.f64 a -4)) (/.f64 (.f64 (-.f64 (-.f64 (.f64 b_2 -2) b_2) (.f64 4 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 1 a)) 4))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 c))) (/.f64 (sqrt.f64 a) a))
(*.f64 (/.f64 (sqrt.f64 a) a) (neg.f64 (sqrt.f64 (neg.f64 c))))
(*.f64 (/.f64 (sqrt.f64 c) (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 a)) (neg.f64 a)) (sqrt.f64 c))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
(.f64 (sqrt.f64 (neg.f64 a)) (.f64 (sqrt.f64 c) (/.f64 -1 a)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 c 2)) (sqrt.f64 (.f64 a -2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) (sqrt.f64 1/2))) a)
(/.f64 (+.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) (.f64 -1/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b_2 3)))) a)
(-.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (.f64 a 4)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (*.f64 a 4)))
(-.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (.f64 a 4)) (/.f64 (-.f64 (-.f64 (+.f64 b_2 (.f64 b_2 1/2)) (+.f64 b_2 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 b_2 -2)) (.f64 a 4)))
(-.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) 3) (.f64 a 4)) (/.f64 (+.f64 b_2 (.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 2)) (sqrt.f64 1/2))) (*.f64 a 4)))

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

Calls

4 calls:

3.0s	c
1.5s	a
749.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
618.0ms	b_2

Results

Error	Segments	Branch
23.0b	7	`a`
7.9b	3	`b_2`
21.3b	13	`c`
10.4b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1673 to 803 computations (52% saved)

bsearch166.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	6.979470140565444e+70	3.6281462599324733e+71
105.0ms	-3.304436725969876e-16	-5.985075530130593e-19

Results

97.0ms	170×	body	256	valid
28.0ms	20×	body	2048	valid
8.0ms	25×	body	512	valid
7.0ms	42×	body	256	invalid
4.0ms	9×	body	1024	valid
2.0ms	10×	body	256	infinite

Compiler

Compiled 386 to 267 computations (30.8% saved)

regimes8.0s (9.5%)

Counts

82 → 3

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 (/.f64 c -2) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) a)
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) a)
(-.f64 (/.f64 b_2 a) (*.f64 b_2 (/.f64 3 a)))
(-.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 3))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) a)
(/.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) a)
(.f64 (/.f64 1/2 a) (neg.f64 (/.f64 (.f64 c a) b_2)))
(/.f64 (-.f64 (neg.f64 (+.f64 1 b_2)) (+.f64 -1 b_2)) a)
(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 1 a)))
(.f64 (/.f64 1 a) (.f64 c (*.f64 -1/2 (/.f64 a b_2))))
(.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 b_2) a))
(-.f64 (*.f64 b_2 (/.f64 1/2 a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) (/.f64 1 a))
(/.f64 (.f64 (/.f64 b_2 (.f64 a a)) (*.f64 a -32)) 16)
(/.f64 (/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1 a)) a)
(/.f64 (/.f64 (.f64 b_2 -2) (/.f64 1 a)) (.f64 a a))
(.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (.f64 c a) (+.f64 a a)))
(/.f64 (.f64 2 (/.f64 b_2 a)) (.f64 (neg.f64 a) (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 a 2)) (/.f64 4 a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (/.f64 (*.f64 a a) a))
(.f64 (+.f64 (.f64 a (/.f64 2 a)) -1) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 (/.f64 -4 (/.f64 1 a)) (.f64 b_2 (/.f64 1/2 (*.f64 a a))))
(.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) a) (/.f64 (*.f64 a a) a))
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 c (/.f64 -1/2 b_2))) (/.f64 b_2 a))
(/.f64 (.f64 -1/2 (.f64 b_2 (*.f64 (/.f64 c b_2) (/.f64 a b_2)))) a)
(/.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) (.f64 b_2 b_2)) b_2)) a)
(/.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) a)) (.f64 (/.f64 1 a) 2))
(/.f64 (.f64 (.f64 a a) (.f64 -2 (/.f64 b_2 a))) (.f64 a a))
(/.f64 (+.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) (*.f64 b_2 -2)) a)
(/.f64 (-.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1) a)
(.f64 (/.f64 (/.f64 1/2 a) a) (.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))))
(.f64 (.f64 (*.f64 c a) (/.f64 -2 b_2)) (-.f64 (/.f64 1 a) (/.f64 3/4 a)))
(.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) (.f64 a (/.f64 1 (*.f64 a a))))
(-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b_2) b_2) a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 (/.f64 (/.f64 1 b_2) b_2) (.f64 (.f64 c a) b_2))) a)
(+.f64 (/.f64 (-.f64 (neg.f64 b_2) (/.f64 b_2 4)) a) (.f64 (.f64 b_2 (/.f64 3 a)) -1/4))
(.f64 (/.f64 (/.f64 -1/2 (.f64 a a)) a) (/.f64 (.f64 b_2 4) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (/.f64 b_2 a) (/.f64 1 a)) (/.f64 (/.f64 -2 (.f64 a a)) (/.f64 1 a)))
(*.f64 (/.f64 (/.f64 (/.f64 -2 a) a) (/.f64 1 a)) (/.f64 (/.f64 b_2 a) (/.f64 1 a)))
(+.f64 (*.f64 b_2 (/.f64 -2 a)) (/.f64 (/.f64 (/.f64 c (/.f64 b_2 2)) b_2) (/.f64 4 b_2)))
(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 c (.f64 (.f64 a 4) (-.f64 (/.f64 1 b_2) (/.f64 3/4 b_2))))) a)
(/.f64 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))
(.f64 (/.f64 1 a) (-.f64 (neg.f64 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 a b_2) (.f64 -1/2 c))))
(.f64 1/2 (/.f64 (/.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) (/.f64 1 a)) (/.f64 1 a)))
(.f64 (.f64 b_2 (.f64 (.f64 a -4) (/.f64 (/.f64 1/2 (.f64 a a)) a))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (-.f64 (/.f64 (/.f64 -4 a) a) (/.f64 -2 (.f64 a a)))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (.f64 (.f64 a (.f64 a a)) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (.f64 (+.f64 b_2 b_2) -16) (.f64 (.f64 a 4) (.f64 a 4))) (/.f64 (.f64 a a) a))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (/.f64 (-.f64 (.f64 c (/.f64 4 b_2)) (/.f64 c (/.f64 b_2 2))) 4))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (-.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) b_2)) a))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c a) b_2) -3/2) (.f64 (/.f64 a b_2) (.f64 -1/2 c))) 4) a)
(.f64 (/.f64 (.f64 b_2 4) (/.f64 1 a)) (/.f64 (/.f64 (/.f64 -2 (.f64 a a)) (.f64 a 4)) (/.f64 1 a)))
(.f64 (/.f64 (.f64 (/.f64 b_2 a) 4) (/.f64 1 a)) (/.f64 -4 (.f64 (.f64 (*.f64 a a) 8) (/.f64 1 a))))
(/.f64 (.f64 -2 (.f64 8 (/.f64 (/.f64 b_2 a) (.f64 (+.f64 a a) (.f64 a 4))))) (/.f64 1 (*.f64 a a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (+.f64 (-.f64 (/.f64 c b_2) (/.f64 c (.f64 b_2 4))) (/.f64 (neg.f64 c) (*.f64 b_2 4))))
(-.f64 (/.f64 0 (.f64 a a)) (-.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -4 (/.f64 1 a)))))
(/.f64 (.f64 -2 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) (.f64 a a)) (/.f64 1 (/.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -2 (-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 2 a)) (/.f64 b_2 (.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -4 (.f64 (/.f64 2 (/.f64 (/.f64 a a) a)) (/.f64 b_2 (.f64 a (.f64 (.f64 a a) (.f64 a 4)))))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -2 (.f64 1 (/.f64 (.f64 (/.f64 2 a) (/.f64 (/.f64 b_2 (.f64 a a)) a)) (.f64 2 (/.f64 1 a))))) (/.f64 1 (.f64 a a)))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 c (neg.f64 a))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))) (neg.f64 (*.f64 a a)))
(.f64 (/.f64 -1 (.f64 a a)) (.f64 a (sqrt.f64 (.f64 a (neg.f64 c)))))
(.f64 (/.f64 (/.f64 -1 a) a) (.f64 a (sqrt.f64 (*.f64 c (neg.f64 a)))))
(-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (*.f64 c (neg.f64 a)))) a) (/.f64 -1 a))

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

Calls

3 calls:

4.2s	c
2.3s	a
1.1s	b_2

Results

Error	Segments	Branch
29.6b	8	`a`
10.5b	3	`b_2`
26.9b	13	`c`

Compiler

Compiled 1132 to 584 computations (48.4% saved)

bsearch260.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
103.0ms	7.27710421106968e-36	3.7786266000281143e-34
156.0ms	-6.164247695668892e-39	-9.317727570789472e-47

Results

128.0ms	209×	body	256	valid
21.0ms	54×	body	256	invalid
16.0ms	14×	body	512	valid
10.0ms	17×	body	2048	valid
7.0ms	16×	body	1024	valid

Compiler

Compiled 390 to 287 computations (26.4% saved)

regimes4.8s (5.7%)

Counts

77 → 3

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 (/.f64 c -2) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) a)
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) a)
(-.f64 (/.f64 b_2 a) (*.f64 b_2 (/.f64 3 a)))
(-.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 3))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) a)
(/.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) a)
(.f64 (/.f64 1/2 a) (neg.f64 (/.f64 (.f64 c a) b_2)))
(/.f64 (-.f64 (neg.f64 (+.f64 1 b_2)) (+.f64 -1 b_2)) a)
(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 1 a)))
(.f64 (/.f64 1 a) (.f64 c (*.f64 -1/2 (/.f64 a b_2))))
(.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 b_2) a))
(-.f64 (*.f64 b_2 (/.f64 1/2 a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) (/.f64 1 a))
(/.f64 (.f64 (/.f64 b_2 (.f64 a a)) (*.f64 a -32)) 16)
(/.f64 (/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1 a)) a)
(/.f64 (/.f64 (.f64 b_2 -2) (/.f64 1 a)) (.f64 a a))
(.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (.f64 c a) (+.f64 a a)))
(/.f64 (.f64 2 (/.f64 b_2 a)) (.f64 (neg.f64 a) (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 a 2)) (/.f64 4 a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (/.f64 (*.f64 a a) a))
(.f64 (+.f64 (.f64 a (/.f64 2 a)) -1) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 (/.f64 -4 (/.f64 1 a)) (.f64 b_2 (/.f64 1/2 (*.f64 a a))))
(.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) a) (/.f64 (*.f64 a a) a))
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 c (/.f64 -1/2 b_2))) (/.f64 b_2 a))
(/.f64 (.f64 -1/2 (.f64 b_2 (*.f64 (/.f64 c b_2) (/.f64 a b_2)))) a)
(/.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) (.f64 b_2 b_2)) b_2)) a)
(/.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) a)) (.f64 (/.f64 1 a) 2))
(/.f64 (.f64 (.f64 a a) (.f64 -2 (/.f64 b_2 a))) (.f64 a a))
(/.f64 (+.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) (*.f64 b_2 -2)) a)
(/.f64 (-.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1) a)
(.f64 (/.f64 (/.f64 1/2 a) a) (.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))))
(.f64 (.f64 (*.f64 c a) (/.f64 -2 b_2)) (-.f64 (/.f64 1 a) (/.f64 3/4 a)))
(.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) (.f64 a (/.f64 1 (*.f64 a a))))
(-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b_2) b_2) a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 (/.f64 (/.f64 1 b_2) b_2) (.f64 (.f64 c a) b_2))) a)
(+.f64 (/.f64 (-.f64 (neg.f64 b_2) (/.f64 b_2 4)) a) (.f64 (.f64 b_2 (/.f64 3 a)) -1/4))
(.f64 (/.f64 (/.f64 -1/2 (.f64 a a)) a) (/.f64 (.f64 b_2 4) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (/.f64 b_2 a) (/.f64 1 a)) (/.f64 (/.f64 -2 (.f64 a a)) (/.f64 1 a)))
(*.f64 (/.f64 (/.f64 (/.f64 -2 a) a) (/.f64 1 a)) (/.f64 (/.f64 b_2 a) (/.f64 1 a)))
(+.f64 (*.f64 b_2 (/.f64 -2 a)) (/.f64 (/.f64 (/.f64 c (/.f64 b_2 2)) b_2) (/.f64 4 b_2)))
(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 c (.f64 (.f64 a 4) (-.f64 (/.f64 1 b_2) (/.f64 3/4 b_2))))) a)
(/.f64 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))
(.f64 (/.f64 1 a) (-.f64 (neg.f64 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 a b_2) (.f64 -1/2 c))))
(.f64 1/2 (/.f64 (/.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) (/.f64 1 a)) (/.f64 1 a)))
(.f64 (.f64 b_2 (.f64 (.f64 a -4) (/.f64 (/.f64 1/2 (.f64 a a)) a))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (-.f64 (/.f64 (/.f64 -4 a) a) (/.f64 -2 (.f64 a a)))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (.f64 (.f64 a (.f64 a a)) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (.f64 (+.f64 b_2 b_2) -16) (.f64 (.f64 a 4) (.f64 a 4))) (/.f64 (.f64 a a) a))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (/.f64 (-.f64 (.f64 c (/.f64 4 b_2)) (/.f64 c (/.f64 b_2 2))) 4))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (-.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) b_2)) a))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c a) b_2) -3/2) (.f64 (/.f64 a b_2) (.f64 -1/2 c))) 4) a)
(.f64 (/.f64 (.f64 b_2 4) (/.f64 1 a)) (/.f64 (/.f64 (/.f64 -2 (.f64 a a)) (.f64 a 4)) (/.f64 1 a)))
(.f64 (/.f64 (.f64 (/.f64 b_2 a) 4) (/.f64 1 a)) (/.f64 -4 (.f64 (.f64 (*.f64 a a) 8) (/.f64 1 a))))
(/.f64 (.f64 -2 (.f64 8 (/.f64 (/.f64 b_2 a) (.f64 (+.f64 a a) (.f64 a 4))))) (/.f64 1 (*.f64 a a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (+.f64 (-.f64 (/.f64 c b_2) (/.f64 c (.f64 b_2 4))) (/.f64 (neg.f64 c) (*.f64 b_2 4))))
(-.f64 (/.f64 0 (.f64 a a)) (-.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -4 (/.f64 1 a)))))
(/.f64 (.f64 -2 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) (.f64 a a)) (/.f64 1 (/.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -2 (-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 2 a)) (/.f64 b_2 (.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -4 (.f64 (/.f64 2 (/.f64 (/.f64 a a) a)) (/.f64 b_2 (.f64 a (.f64 (.f64 a a) (.f64 a 4)))))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -2 (.f64 1 (/.f64 (.f64 (/.f64 2 a) (/.f64 (/.f64 b_2 (.f64 a a)) a)) (.f64 2 (/.f64 1 a))))) (/.f64 1 (.f64 a a)))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(.f64 (/.f64 -1 a) (sqrt.f64 (.f64 c (neg.f64 a))))

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

Calls

3 calls:

3.2s	c
1.1s	a
351.0ms	b_2

Results

Error	Segments	Branch
30.9b	6	`a`
10.7b	3	`b_2`
26.9b	13	`c`

Compiler

Compiled 1071 to 563 computations (47.4% saved)

bsearch171.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	7.27710421106968e-36	3.7786266000281143e-34
106.0ms	-6.164247695668892e-39	-9.317727570789472e-47

Results

102.0ms	211×	body	256	valid
26.0ms	12×	body	512	valid
21.0ms	55×	body	256	invalid
11.0ms	26×	body	1024	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 358 to 271 computations (24.3% saved)

regimes4.9s (5.9%)

Counts

75 → 3

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 (/.f64 c -2) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) a)
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) a)
(-.f64 (/.f64 b_2 a) (*.f64 b_2 (/.f64 3 a)))
(-.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 3))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) a)
(/.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) a)
(.f64 (/.f64 1/2 a) (neg.f64 (/.f64 (.f64 c a) b_2)))
(/.f64 (-.f64 (neg.f64 (+.f64 1 b_2)) (+.f64 -1 b_2)) a)
(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 1 a)))
(.f64 (/.f64 1 a) (.f64 c (*.f64 -1/2 (/.f64 a b_2))))
(.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 b_2) a))
(-.f64 (*.f64 b_2 (/.f64 1/2 a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) (/.f64 1 a))
(/.f64 (.f64 (/.f64 b_2 (.f64 a a)) (*.f64 a -32)) 16)
(/.f64 (/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1 a)) a)
(/.f64 (/.f64 (.f64 b_2 -2) (/.f64 1 a)) (.f64 a a))
(.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (.f64 c a) (+.f64 a a)))
(/.f64 (.f64 2 (/.f64 b_2 a)) (.f64 (neg.f64 a) (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 a 2)) (/.f64 4 a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (/.f64 (*.f64 a a) a))
(.f64 (+.f64 (.f64 a (/.f64 2 a)) -1) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 (/.f64 -4 (/.f64 1 a)) (.f64 b_2 (/.f64 1/2 (*.f64 a a))))
(.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) a) (/.f64 (*.f64 a a) a))
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 c (/.f64 -1/2 b_2))) (/.f64 b_2 a))
(/.f64 (.f64 -1/2 (.f64 b_2 (*.f64 (/.f64 c b_2) (/.f64 a b_2)))) a)
(/.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) (.f64 b_2 b_2)) b_2)) a)
(/.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) a)) (.f64 (/.f64 1 a) 2))
(/.f64 (.f64 (.f64 a a) (.f64 -2 (/.f64 b_2 a))) (.f64 a a))
(/.f64 (+.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) (*.f64 b_2 -2)) a)
(/.f64 (-.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1) a)
(.f64 (/.f64 (/.f64 1/2 a) a) (.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))))
(.f64 (.f64 (*.f64 c a) (/.f64 -2 b_2)) (-.f64 (/.f64 1 a) (/.f64 3/4 a)))
(.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) (.f64 a (/.f64 1 (*.f64 a a))))
(-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b_2) b_2) a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 (/.f64 (/.f64 1 b_2) b_2) (.f64 (.f64 c a) b_2))) a)
(+.f64 (/.f64 (-.f64 (neg.f64 b_2) (/.f64 b_2 4)) a) (.f64 (.f64 b_2 (/.f64 3 a)) -1/4))
(.f64 (/.f64 (/.f64 -1/2 (.f64 a a)) a) (/.f64 (.f64 b_2 4) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (/.f64 b_2 a) (/.f64 1 a)) (/.f64 (/.f64 -2 (.f64 a a)) (/.f64 1 a)))
(*.f64 (/.f64 (/.f64 (/.f64 -2 a) a) (/.f64 1 a)) (/.f64 (/.f64 b_2 a) (/.f64 1 a)))
(+.f64 (*.f64 b_2 (/.f64 -2 a)) (/.f64 (/.f64 (/.f64 c (/.f64 b_2 2)) b_2) (/.f64 4 b_2)))
(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 c (.f64 (.f64 a 4) (-.f64 (/.f64 1 b_2) (/.f64 3/4 b_2))))) a)
(/.f64 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))
(.f64 (/.f64 1 a) (-.f64 (neg.f64 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 a b_2) (.f64 -1/2 c))))
(.f64 1/2 (/.f64 (/.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) (/.f64 1 a)) (/.f64 1 a)))
(.f64 (.f64 b_2 (.f64 (.f64 a -4) (/.f64 (/.f64 1/2 (.f64 a a)) a))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (-.f64 (/.f64 (/.f64 -4 a) a) (/.f64 -2 (.f64 a a)))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (.f64 (.f64 a (.f64 a a)) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (.f64 (+.f64 b_2 b_2) -16) (.f64 (.f64 a 4) (.f64 a 4))) (/.f64 (.f64 a a) a))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (/.f64 (-.f64 (.f64 c (/.f64 4 b_2)) (/.f64 c (/.f64 b_2 2))) 4))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (-.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) b_2)) a))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c a) b_2) -3/2) (.f64 (/.f64 a b_2) (.f64 -1/2 c))) 4) a)
(.f64 (/.f64 (.f64 b_2 4) (/.f64 1 a)) (/.f64 (/.f64 (/.f64 -2 (.f64 a a)) (.f64 a 4)) (/.f64 1 a)))
(.f64 (/.f64 (.f64 (/.f64 b_2 a) 4) (/.f64 1 a)) (/.f64 -4 (.f64 (.f64 (*.f64 a a) 8) (/.f64 1 a))))
(/.f64 (.f64 -2 (.f64 8 (/.f64 (/.f64 b_2 a) (.f64 (+.f64 a a) (.f64 a 4))))) (/.f64 1 (*.f64 a a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (+.f64 (-.f64 (/.f64 c b_2) (/.f64 c (.f64 b_2 4))) (/.f64 (neg.f64 c) (*.f64 b_2 4))))
(-.f64 (/.f64 0 (.f64 a a)) (-.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -4 (/.f64 1 a)))))
(/.f64 (.f64 -2 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) (.f64 a a)) (/.f64 1 (/.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -2 (-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 2 a)) (/.f64 b_2 (.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -4 (.f64 (/.f64 2 (/.f64 (/.f64 a a) a)) (/.f64 b_2 (.f64 a (.f64 (.f64 a a) (.f64 a 4)))))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -2 (.f64 1 (/.f64 (.f64 (/.f64 2 a) (/.f64 (/.f64 b_2 (.f64 a a)) a)) (.f64 2 (/.f64 1 a))))) (/.f64 1 (.f64 a a)))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))

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

Calls

3 calls:

2.4s	c
1.4s	a
1.0s	b_2

Results

Error	Segments	Branch
31.9b	7	`a`
21.0b	3	`b_2`
31.6b	11	`c`

Compiler

Compiled 1054 to 556 computations (47.2% saved)

bsearch231.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
94.0ms	8.977533813004919e-178	5.443237877435564e-171
136.0ms	-1.6951592607364423e-114	-1.4539794363658747e-118

Results

97.0ms	245×	body	256	valid
65.0ms	15×	body	1024	valid
49.0ms	128×	body	256	invalid
7.0ms	12×	body	512	valid

Compiler

Compiled 399 to 306 computations (23.3% saved)

regimes2.9s (3.4%)

Counts

74 → 2

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 (/.f64 c -2) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) a)
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) a)
(-.f64 (/.f64 b_2 a) (*.f64 b_2 (/.f64 3 a)))
(-.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 3))
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(/.f64 (.f64 a (.f64 c (/.f64 -1/2 b_2))) a)
(/.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) a)
(.f64 (/.f64 1/2 a) (neg.f64 (/.f64 (.f64 c a) b_2)))
(/.f64 (-.f64 (neg.f64 (+.f64 1 b_2)) (+.f64 -1 b_2)) a)
(.f64 c (.f64 (*.f64 -1/2 (/.f64 a b_2)) (/.f64 1 a)))
(.f64 (/.f64 1 a) (.f64 c (*.f64 -1/2 (/.f64 a b_2))))
(.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -2 (/.f64 1 a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 b_2) a))
(-.f64 (*.f64 b_2 (/.f64 1/2 a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 b_2 (/.f64 -2 (.f64 a a))) (/.f64 1 a))
(/.f64 (.f64 (/.f64 b_2 (.f64 a a)) (*.f64 a -32)) 16)
(/.f64 (/.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 1 a)) a)
(/.f64 (/.f64 (.f64 b_2 -2) (/.f64 1 a)) (.f64 a a))
(.f64 (neg.f64 (/.f64 1 b_2)) (/.f64 (.f64 c a) (+.f64 a a)))
(/.f64 (.f64 2 (/.f64 b_2 a)) (.f64 (neg.f64 a) (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 (/.f64 c b_2)) (/.f64 a 2)) (/.f64 4 a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (/.f64 (*.f64 a a) a))
(.f64 (+.f64 (.f64 a (/.f64 2 a)) -1) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 (/.f64 -4 (/.f64 1 a)) (.f64 b_2 (/.f64 1/2 (*.f64 a a))))
(.f64 (/.f64 (.f64 -2 (/.f64 b_2 a)) a) (/.f64 (*.f64 a a) a))
(.f64 (/.f64 (.f64 -1/2 (/.f64 c b_2)) a) (/.f64 1 (/.f64 1 a)))
(-.f64 (+.f64 (/.f64 b_2 a) (*.f64 c (/.f64 -1/2 b_2))) (/.f64 b_2 a))
(/.f64 (.f64 -1/2 (.f64 b_2 (*.f64 (/.f64 c b_2) (/.f64 a b_2)))) a)
(/.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) (.f64 b_2 b_2)) b_2)) a)
(/.f64 (.f64 b_2 (/.f64 (/.f64 -4 a) a)) (.f64 (/.f64 1 a) 2))
(/.f64 (.f64 (.f64 a a) (.f64 -2 (/.f64 b_2 a))) (.f64 a a))
(/.f64 (+.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) (*.f64 b_2 -2)) a)
(/.f64 (-.f64 (-.f64 -1 (/.f64 (*.f64 c a) (+.f64 b_2 b_2))) -1) a)
(.f64 (/.f64 (/.f64 1/2 a) a) (.f64 a (neg.f64 (/.f64 (*.f64 c a) b_2))))
(.f64 (.f64 (*.f64 c a) (/.f64 -2 b_2)) (-.f64 (/.f64 1 a) (/.f64 3/4 a)))
(.f64 (.f64 (/.f64 a b_2) (.f64 -1/2 c)) (.f64 a (/.f64 1 (*.f64 a a))))
(-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 b_2) b_2) a)) (/.f64 b_2 (+.f64 a a)))
(/.f64 (.f64 -2 (/.f64 (/.f64 b_2 a) (.f64 a a))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 (/.f64 (/.f64 1 b_2) b_2) (.f64 (.f64 c a) b_2))) a)
(+.f64 (/.f64 (-.f64 (neg.f64 b_2) (/.f64 b_2 4)) a) (.f64 (.f64 b_2 (/.f64 3 a)) -1/4))
(.f64 (/.f64 (/.f64 -1/2 (.f64 a a)) a) (/.f64 (.f64 b_2 4) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (/.f64 b_2 a) (/.f64 1 a)) (/.f64 (/.f64 -2 (.f64 a a)) (/.f64 1 a)))
(*.f64 (/.f64 (/.f64 (/.f64 -2 a) a) (/.f64 1 a)) (/.f64 (/.f64 b_2 a) (/.f64 1 a)))
(+.f64 (*.f64 b_2 (/.f64 -2 a)) (/.f64 (/.f64 (/.f64 c (/.f64 b_2 2)) b_2) (/.f64 4 b_2)))
(/.f64 (.f64 -4 (/.f64 (/.f64 b_2 a) (.f64 2 (.f64 a a)))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -1/2 (.f64 c (.f64 (.f64 a 4) (-.f64 (/.f64 1 b_2) (/.f64 3/4 b_2))))) a)
(/.f64 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) a) -2) (*.f64 (/.f64 1 a) (/.f64 1 a)))
(.f64 (/.f64 1 a) (-.f64 (neg.f64 (/.f64 (.f64 c a) b_2)) (.f64 (/.f64 a b_2) (.f64 -1/2 c))))
(.f64 1/2 (/.f64 (/.f64 (.f64 b_2 (/.f64 -4 (.f64 a (.f64 a a)))) (/.f64 1 a)) (/.f64 1 a)))
(.f64 (.f64 b_2 (.f64 (.f64 a -4) (/.f64 (/.f64 1/2 (.f64 a a)) a))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (-.f64 (/.f64 (/.f64 -4 a) a) (/.f64 -2 (.f64 a a)))) (/.f64 (.f64 a a) a))
(.f64 (.f64 b_2 (/.f64 (/.f64 -2 a) a)) (.f64 (.f64 a (.f64 a a)) (/.f64 1 (.f64 a a))))
(.f64 (/.f64 (.f64 (+.f64 b_2 b_2) -16) (.f64 (.f64 a 4) (.f64 a 4))) (/.f64 (.f64 a a) a))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (/.f64 (-.f64 (.f64 c (/.f64 4 b_2)) (/.f64 c (/.f64 b_2 2))) 4))
(+.f64 (/.f64 (-.f64 1 b_2) a) (/.f64 (-.f64 -1 (-.f64 (.f64 (.f64 c a) (/.f64 1/2 b_2)) b_2)) a))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c a) b_2) -3/2) (.f64 (/.f64 a b_2) (.f64 -1/2 c))) 4) a)
(.f64 (/.f64 (.f64 b_2 4) (/.f64 1 a)) (/.f64 (/.f64 (/.f64 -2 (.f64 a a)) (.f64 a 4)) (/.f64 1 a)))
(.f64 (/.f64 (.f64 (/.f64 b_2 a) 4) (/.f64 1 a)) (/.f64 -4 (.f64 (.f64 (*.f64 a a) 8) (/.f64 1 a))))
(/.f64 (.f64 -2 (.f64 8 (/.f64 (/.f64 b_2 a) (.f64 (+.f64 a a) (.f64 a 4))))) (/.f64 1 (*.f64 a a)))
(+.f64 (.f64 b_2 (/.f64 -2 a)) (+.f64 (-.f64 (/.f64 c b_2) (/.f64 c (.f64 b_2 4))) (/.f64 (neg.f64 c) (*.f64 b_2 4))))
(-.f64 (/.f64 0 (.f64 a a)) (-.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 -4 (/.f64 1 a)))))
(/.f64 (.f64 -2 (.f64 (/.f64 (/.f64 b_2 (.f64 a a)) (.f64 a a)) (/.f64 1 (/.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -2 (-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 2 a)) (/.f64 b_2 (.f64 a (.f64 a a))))) (/.f64 1 (.f64 a a)))
(/.f64 (.f64 -4 (.f64 (/.f64 2 (/.f64 (/.f64 a a) a)) (/.f64 b_2 (.f64 a (.f64 (.f64 a a) (.f64 a 4)))))) (/.f64 1 (*.f64 a a)))
(/.f64 (.f64 -2 (.f64 1 (/.f64 (.f64 (/.f64 2 a) (/.f64 (/.f64 b_2 (.f64 a a)) a)) (.f64 2 (/.f64 1 a))))) (/.f64 1 (.f64 a a)))

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

Calls

3 calls:

1.2s	a
1.1s	c
376.0ms	b_2

Results

Error	Segments	Branch
34.4b	6	`a`
24.9b	2	`b_2`
35.2b	7	`c`

Compiler

Compiled 1048 to 552 computations (47.3% saved)

bsearch114.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
113.0ms	-2.767708578727044e-244	-5.23119801400098e-258

Results

57.0ms	160×	body	256	valid
13.0ms	75×	body	256	invalid

Compiler

Compiled 202 to 155 computations (23.3% saved)

regimes378.0ms (0.5%)

Accuracy

Total -37.6b remaining (-151.2%)

Threshold costs -37.6b (-151.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

203.0ms	c
144.0ms	a
28.0ms	b_2

Results

Error	Segments	Branch
34.4b	6	`a`
24.9b	2	`b_2`
35.2b	7	`c`

Compiler

Compiled 45 to 29 computations (35.6% saved)

bsearch120.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
119.0ms	-2.767708578727044e-244	-5.23119801400098e-258

Results

77.0ms	80×	body	256	invalid
39.0ms	160×	body	256	valid

Compiler

Compiled 202 to 155 computations (23.3% saved)

simplify27.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	391

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -8826904659509207/10384593717069655257060992658440192) (/.f64 (/.f64 c -2) b_2) (if (<=.f64 b_2 359999999999999995461406280032747478250074244466564231611773212300410880) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (*.f64 -2 (/.f64 b_2 a))))
(if (<=.f64 b_2 -6080942306155847/392318858461667547739736838950479151006397215279002157056) (/.f64 (/.f64 c -2) b_2) (if (<=.f64 b_2 3086691458042867/46768052394588893382517914646921056628989841375232) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (.f64 -2 (/.f64 b_2 a))))
(if (<=.f64 b_2 -8356077830146749/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (/.f64 c -2) b_2) (if (<=.f64 b_2 5799238496929023/187072209578355573530071658587684226515959365500928) (/.f64 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) a) (.f64 -2 (/.f64 b_2 a))))
(if (<=.f64 b_2 -554533938824163/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (/.f64 (/.f64 c -2) b_2) (if (<=.f64 b_2 5524830435401877/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))))
(if (<=.f64 b_2 -6610130547046593/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (/.f64 (/.f64 c -2) b_2) (*.f64 -2 (/.f64 b_2 a)))
(if (<=.f64 b_2 -7626195654834445/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (.f64 -1/2 (/.f64 c b_2)) (.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))

Outputs
(if (<=.f64 b_2 -8826904659509207/10384593717069655257060992658440192) (/.f64 (/.f64 c -2) b_2) (if (<=.f64 b_2 359999999999999995461406280032747478250074244466564231611773212300410880) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (*.f64 -2 (/.f64 b_2 a))))
(if (<=.f64 b_2 -6080942306155847/392318858461667547739736838950479151006397215279002157056) (/.f64 (/.f64 c -2) b_2) (if (<=.f64 b_2 3086691458042867/46768052394588893382517914646921056628989841375232) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (.f64 -2 (/.f64 b_2 a))))
(if (<=.f64 b_2 -8356077830146749/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (/.f64 c -2) b_2) (if (<=.f64 b_2 5799238496929023/187072209578355573530071658587684226515959365500928) (/.f64 (neg.f64 (sqrt.f64 (.f64 c (neg.f64 a)))) a) (.f64 -2 (/.f64 b_2 a))))
(if (<=.f64 b_2 -554533938824163/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (/.f64 (/.f64 c -2) b_2) (if (<=.f64 b_2 5524830435401877/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (+.f64 (.f64 b_2 (/.f64 -2 a)) (.f64 c (/.f64 1/2 b_2)))))
(if (<=.f64 b_2 -6610130547046593/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (/.f64 (/.f64 c -2) b_2) (*.f64 -2 (/.f64 b_2 a)))
(if (<=.f64 b_2 -7626195654834445/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (.f64 -1/2 (/.f64 c b_2)) (.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 169 to 116 computations (31.4% saved)

soundness0.0ms (0%)

end401.0ms (0.5%)

Compiler: Compiled 151 to 89 computations (41.1% saved)