Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.6s (26.8%)

Results

1.5s	8256×	body	256	valid
1.0ms	11×	body	256	invalid

Bogosity

preprocess93.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1118×	`rational_best-simplify-75`
1070×	`rational_best-simplify-65`
1058×	`rational_best-simplify-1`
972×	`rational_best-simplify-67`
912×	`rational_best-simplify-66`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	27	57
2	45	57
3	73	57
4	142	57
5	287	53
6	554	53
7	1154	53
8	2186	53
9	4727	53
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (-.f64 1/4 (/.f64 (.f64 v v) 4)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1118×	`rational_best-simplify-75`
1070×	`rational_best-simplify-65`
1058×	`rational_best-simplify-1`
972×	`rational_best-simplify-67`
912×	`rational_best-simplify-66`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	27	57
2	45	57
3	73	57
4	142	57
5	287	53
6	554	53
7	1154	53
8	2186	53
9	4727	53

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (-.f64 1/4 (/.f64 (.f64 v v) 4)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))

eval1.0ms (0%)

Compiler: Compiled 75 to 52 computations (30.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.0b	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))
✓	0.0b	(-.f64 1 (.f64 3 (.f64 v v)))
✓	0.2b	(.f64 3 (.f64 v v))

Compiler

Compiled 75 to 48 computations (36% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))
1.0ms	v	@	0	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))
1.0ms	v	@	inf	(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0ms	v	@	0	(.f64 3 (.f64 v v))
0.0ms	v	@	-inf	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))

rewrite96.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`rational_best-simplify-63`
852×	`rational_best-4`
852×	`rational_best-2`
852×	`rational_best-3`
852×	`rational_best-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	114
1	112	114
2	237	114
3	665	114
4	2402	110

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

Inputs
(.f64 3 (.f64 v v))
(-.f64 1 (.f64 3 (.f64 v v)))
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))
(sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 v v) (.f64 v (+.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 v (+.f64 v v)) (.f64 v v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 v) (/.f64 v 2)) (.f64 (.f64 3 v) (/.f64 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 3 v) (/.f64 v 2)) (/.f64 (neg.f64 (.f64 3 (.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 v (.f64 v 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 v v) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 v v) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 v (.f64 3 (neg.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 v (+.f64 v v)) (.f64 v (.f64 v 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 v (.f64 v 4)) (.f64 v (.f64 2 (.f64 v 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 v 4) (.f64 2 (.f64 v 6))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 v 6)) (.f64 v 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 v 4)) (.f64 v 6)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 v 6) (.f64 2 (.f64 v 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (*.f64 v v)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 3 (.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2) (+.f64 (.f64 3 (.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 3 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 6) 4) (-.f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) (-.f64 1 (.f64 3 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 -3 (.f64 v (/.f64 v 2)))) (.f64 -3 (.f64 v (/.f64 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -3 (.f64 v (/.f64 v 2))) (+.f64 1 (.f64 -3 (.f64 v (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (.f64 3 (.f64 v v))) 2) (/.f64 (+.f64 2 (neg.f64 (.f64 3 (.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (neg.f64 (.f64 3 (.f64 v v)))) 2) (/.f64 (neg.f64 (.f64 3 (.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) (-.f64 1 (.f64 3 (.f64 v v)))) (/.f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (.f64 3 (.f64 v v))) 1) (neg.f64 (+.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (neg.f64 (.f64 3 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (.f64 3 (.f64 v v))) (neg.f64 (.f64 3 (.f64 v v)))) (neg.f64 (+.f64 1 (+.f64 (.f64 3 (.f64 v v)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (.f64 3 (.f64 v v))) (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2))))) (neg.f64 (+.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) (neg.f64 (.f64 3 (.f64 v v)))) (-.f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) (+.f64 1 (+.f64 (.f64 3 (.f64 v v)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) 1) (-.f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) (+.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (neg.f64 (.f64 3 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2))))) (-.f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) (+.f64 (+.f64 (.f64 3 (.f64 v v)) -1) (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 3 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 3 (.f64 v v)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 3 (.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 -3 (.f64 v (/.f64 v 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 3 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 3 (.f64 v v)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (.f64 3 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (.f64 3 (.f64 v v)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/8)) (/.f64 (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) (.f64 1/2 (-.f64 1 (.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) (.f64 (-.f64 1 (.f64 v v)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))) (+.f64 (.f64 v v) -1)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 2 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) (+.f64 (.f64 v v) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4) (+.f64 (.f64 v v) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4)) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 4) -1/4) (.f64 2 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 4) -1/4) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 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2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4) (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (sqrt.f64 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))))))))

simplify372.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1412×	`rational_best-simplify-63`
1230×	`rational_best-simplify-47`
1064×	`rational_best-simplify-55`
716×	`rational_best-simplify-50`
628×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	8665
1	1278	7625
2	3504	7255

Stop Event

1×	node limit

Counts

209 → 306

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
1
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(*.f64 -3 (pow.f64 v 2))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(*.f64 -3 (pow.f64 v 2))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
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(-.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4) (-.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4)) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) 1/2)))
(-.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4) (-.f64 0 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 3/4)))
(-.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4) (-.f64 (/.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) -8) (+.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4) (.f64 3 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/8)))))
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))))
(-.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/8) (-.f64 (/.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) -8) (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 3/4)))
(-.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/2) (/.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) -2))
(-.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 3/4) (neg.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4)))
(-.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 3/4) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2))) 4))
(-.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4) (.f64 3 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/8))) (/.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) -3) 8))
(-.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4) (/.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) -2)) (neg.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4)))
(.f64 1 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)))
(.f64 2 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/2))
(.f64 2 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2)))
(.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (/.f64 (sqrt.f64 2) 2)))
(.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) 1)
(.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/4) 4)
(.f64 (.f64 2 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))) 1/2)
(.f64 (.f64 2 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))) (*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 2) 2)))
(.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2))) -1)
(.f64 (.f64 2 (sqrt.f64 2)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2))
(.f64 (.f64 2 (sqrt.f64 2)) (.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2)))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4))
(.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1/2) 2)
(.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 1/4)
(.f64 1/2 (.f64 2 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))))
(.f64 1/8 (.f64 2 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) 4)))
(.f64 1/16 (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) 4) 4))
(.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (/.f64 (sqrt.f64 2) 2))
(.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (*.f64 1 (/.f64 (sqrt.f64 2) 2)))
(.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) 4)) 1/8)
(.f64 -2 (/.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) -2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2) (.f64 2 (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) 2) (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (.f64 (sqrt.f64 2) 4) (.f64 1/2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2)))
(.f64 (.f64 2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 1/2 (/.f64 (sqrt.f64 2) 2)))
(.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 4)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 4)))
(/.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1)
(/.f64 (.f64 2 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2))) 2)
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))) -1)
(/.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4)) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4) 16)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4) (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4)) 32)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (sqrt.f64 2) 4)) 16)
(pow.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))))

Outputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
1
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3))
(*.f64 -3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) -3)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3))
(*.f64 -3 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) -3)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (.f64 (sqrt.f64 2) -5/2) (.f64 (pow.f64 v 2) 1/4)))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 -5/2 (*.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -5/2) (.f64 (pow.f64 v 2) 1/4)) (.f64 (.f64 (sqrt.f64 2) 3/8) (*.f64 (pow.f64 v 4) 1/4))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)) (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (+.f64 (.f64 -5/2 (.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(+.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) -5/2) (.f64 (pow.f64 v 2) 1/4)) (.f64 (.f64 (sqrt.f64 2) -9/16) (.f64 (pow.f64 v 6) 1/4))) (+.f64 (.f64 (.f64 (sqrt.f64 2) 3/8) (.f64 (pow.f64 v 4) 1/4)) (.f64 1/4 (sqrt.f64 2))))
(+.f64 (.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)) (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/16)))) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)) (sqrt.f64 2))))
(+.f64 (.f64 1/4 (+.f64 (.f64 -5/2 (.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/16)))) (.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 v 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 (+.f64 (*.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6)) 1/4)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 1/8 (sqrt.f64 -27))) (.f64 (sqrt.f64 2) (/.f64 1/2 (sqrt.f64 -3)))) (/.f64 1/4 v)) (.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v 1/4))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (sqrt.f64 2) (/.f64 1/2 (sqrt.f64 -3)))) v) (.f64 v (+.f64 (*.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 1/8 (sqrt.f64 -27)) (/.f64 1/2 (sqrt.f64 -3)))) v))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 1/8 (sqrt.f64 -27))) (.f64 (sqrt.f64 2) (/.f64 1/2 (sqrt.f64 -3)))) (/.f64 1/4 v))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/8 (sqrt.f64 -27))) (.f64 (sqrt.f64 2) (/.f64 -1/16 (sqrt.f64 -243)))) (/.f64 1/4 (pow.f64 v 3))) (.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 v 1/4))))
(+.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (sqrt.f64 2) (/.f64 1/2 (sqrt.f64 -3)))) v))) (.f64 1/4 (+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/8 (sqrt.f64 -27))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (sqrt.f64 -243)))) (pow.f64 v 3)) (.f64 v (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (+.f64 (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 1/8 (sqrt.f64 -27)) (/.f64 1/2 (sqrt.f64 -3)))) v))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 -1/8 (sqrt.f64 -27)) (/.f64 -1/16 (sqrt.f64 -243)))) (/.f64 1/4 (pow.f64 v 3)))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6)) (.f64 v -1/4)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v -1/4)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 v (.f64 (+.f64 (*.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6)) -1/4)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 1/8 (sqrt.f64 -27))) (.f64 (sqrt.f64 2) (/.f64 1/2 (sqrt.f64 -3)))) v)) (.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6)) (*.f64 v -1/4))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -27))) (.f64 (sqrt.f64 2) (/.f64 1/2 (sqrt.f64 -3)))) v) (.f64 v (+.f64 (*.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6))))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 (sqrt.f64 2) (/.f64 -1/2 (sqrt.f64 -3))) (sqrt.f64 -6))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 1/8 (sqrt.f64 -27)) (/.f64 1/2 (sqrt.f64 -3)))) v))))
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(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(.f64 -2 (/.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) -2))
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2) (.f64 2 (sqrt.f64 2)))
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(.f64 (/.f64 (sqrt.f64 2) 2) (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(.f64 (.f64 (sqrt.f64 2) 4) (.f64 1/2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2)))
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(.f64 (.f64 2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 1/2 (/.f64 (sqrt.f64 2) 2)))
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 4)) (sqrt.f64 1/2))
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (-.f64 1 (.f64 3 (.f64 v v))) 4)))
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(/.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1)
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(/.f64 (.f64 2 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2))) 2)
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))) -1)
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 6))) -2)) 4) 4)
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4)) 8)
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(/.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4) 16)
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4) (.f64 (.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 4) 4)) 32)
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 (sqrt.f64 2) 4)) 16)
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(pow.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)) 1)
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))))
(sqrt.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))

eval162.0ms (2.7%)

Compiler: Compiled 8473 to 6690 computations (21% saved)

prune46.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	302	4	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	302	5	307

Error

Counts

307 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) -4)
✓	0.0b	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))
▶	0.0b	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (+.f64 (.f64 3 (.f64 v v)) (-.f64 1 (.f64 v (*.f64 v 6)))))) 4))
▶	1.3b	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))
▶	1.3b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 77 to 59 computations (23.4% saved)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))

Compiler

Compiled 29 to 20 computations (31% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))
0.0ms	v	@	inf	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))
0.0ms	v	@	-inf	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))

rewrite71.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`rational_best-simplify-48`
668×	`rational_best-simplify-55`
638×	`rational_best-simplify-52`
628×	`rational_best-simplify-63`
618×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	81	29
2	169	29
3	490	29
4	1788	29

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 2)) 16) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 2)) 16) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (/.f64 (-.f64 1 (.f64 v v)) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 v v) -1)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v (.f64 v 1/2)) -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 (sqrt.f64 2) 4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 2 (.f64 (sqrt.f64 2) 4))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (+.f64 2 (.f64 (.f64 v v) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 v v) -1)) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 (sqrt.f64 2) 4)) 2) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 2 (.f64 (sqrt.f64 2) 4))) 2) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 4))) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (.f64 (sqrt.f64 2) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (.f64 2 (.f64 (sqrt.f64 2) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 (.f64 (sqrt.f64 2) 4) 4)) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (.f64 2 (sqrt.f64 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 8) -1/8) (.f64 (sqrt.f64 2) 4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 8) -1/8) (.f64 2 (.f64 (sqrt.f64 2) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (.f64 (.f64 (sqrt.f64 2) 4) 4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 8) -1/8) (.f64 2 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (-.f64 (.f64 v (+.f64 v v)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 v v) -1)) (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 v v) -1))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 (.f64 v v) 8) -1/8)) (.f64 (sqrt.f64 2) (+.f64 (/.f64 (.f64 v v) 8) -1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) 1/2) (.f64 2 (.f64 (sqrt.f64 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 2 (.f64 (.f64 v v) -2)) (.f64 2 (.f64 (sqrt.f64 2) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4)) (.f64 2 (sqrt.f64 2))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (+.f64 2 (.f64 (.f64 v v) -2))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) 4) (.f64 (-.f64 1 (.f64 v v)) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) 4) (.f64 (.f64 (sqrt.f64 2) 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (-.f64 1 (.f64 v v)) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) 4) (.f64 (sqrt.f64 2) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4)) (.f64 2 (.f64 (sqrt.f64 2) 4))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sqrt.f64 2) (/.f64 (-.f64 1 (.f64 v v)) -4)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/8)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)) 16) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)) 16) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/8)) (neg.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (*.f64 v v)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (/.f64 (-.f64 1 (*.f64 v v)) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (*.f64 v v)) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 v v) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 (*.f64 v v) -1)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v 1/2)) -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 v v) -1) (*.f64 (sqrt.f64 2) 4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 v v) -1) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 2 (*.f64 (*.f64 v v) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 v v) -1)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 (*.f64 v v) -1)) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (*.f64 v v) -1) (*.f64 (sqrt.f64 2) 4)) 2) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (*.f64 v v) -1) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) 2) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 4))) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 v v)) -4) (*.f64 (sqrt.f64 2) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 v v)) -4) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 v v) -1) (*.f64 (*.f64 (sqrt.f64 2) 4) 4)) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 v v)) -4) (*.f64 2 (sqrt.f64 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (*.f64 v v) 8) -1/8) (*.f64 (sqrt.f64 2) 4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (*.f64 v v) 8) -1/8) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 v v)) -4) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 v v)) -4) (*.f64 (*.f64 (sqrt.f64 2) 4) 4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (*.f64 v v) 8) -1/8) (*.f64 2 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) (-.f64 (*.f64 v (+.f64 v v)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 v v) -1)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 v v) -1))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 (*.f64 v v) -1)) (*.f64 (*.f64 2 (sqrt.f64 2)) (+.f64 (*.f64 v v) -1))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 (*.f64 v v) 8) -1/8)) (*.f64 (sqrt.f64 2) (+.f64 (/.f64 (*.f64 v v) 8) -1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) 1/2) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (*.f64 (*.f64 v v) -2)) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) 4)) (*.f64 2 (sqrt.f64 2))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 4)) (+.f64 2 (*.f64 (*.f64 v v) -2))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) 4) (*.f64 (-.f64 1 (*.f64 v v)) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) 4) (*.f64 (*.f64 (sqrt.f64 2) 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/2) (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 (-.f64 1 (*.f64 v v)) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 4)) (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) 4))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) 4) (*.f64 (sqrt.f64 2) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) 4)) (*.f64 2 (*.f64 (sqrt.f64 2) 4))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (/.f64 (-.f64 1 (*.f64 v v)) -4)))))))

simplify173.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-1`
1004×	`rational_best-simplify-67`
808×	`rational_best-simplify-65`
728×	`rational_best-simplify-49`
676×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	1995
1	405	1975
2	1042	1975
3	2860	1959

Stop Event

1×	node limit

Counts

63 → 73

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 0)
(+.f64 0 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)))
(+.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8)))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 2)) 16) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 2)) 16) (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/8))))
(-.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 0)
(-.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8))))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/2)) 2)
(/.f64 (.f64 (sqrt.f64 2) (/.f64 (-.f64 1 (.f64 v v)) -4)) -1)
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 2)) 4)
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/2))) -2)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (*.f64 v v) -1)) -8)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v (*.f64 v 1/2)) -1/2)) -2)
(/.f64 (.f64 (+.f64 (.f64 v v) -1) (*.f64 (sqrt.f64 2) 4)) -16)
(/.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 2 (.f64 (sqrt.f64 2) 4))) -32)
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 4)) 16)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 2 (.f64 (*.f64 v v) -2))) 8)
(/.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 4))) 32)
(/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) 2) -2)
(/.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (*.f64 v v) -1)) 2) -4)
(/.f64 (/.f64 (.f64 (+.f64 (.f64 v v) -1) (*.f64 (sqrt.f64 2) 4)) 2) -8)
(/.f64 (/.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 2 (.f64 (sqrt.f64 2) 4))) 2) -16)
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 4))) 2) 16)
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (*.f64 (sqrt.f64 2) 4)) -4)
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (.f64 2 (.f64 (sqrt.f64 2) 4))) -8)
(/.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 (.f64 (sqrt.f64 2) 4) 4)) -64)
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (*.f64 2 (sqrt.f64 2))) -2)
(/.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 8) -1/8) (*.f64 (sqrt.f64 2) 4)) -2)
(/.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 8) -1/8) (.f64 2 (.f64 (sqrt.f64 2) 4))) -4)
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (sqrt.f64 2)) -1)
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (.f64 (.f64 (sqrt.f64 2) 4) 4)) -16)
(/.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 8) -1/8) (*.f64 2 (sqrt.f64 2))) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (-.f64 (*.f64 v (+.f64 v v)) 2)) -2)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1))) -8)
(/.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 v v) -1)) (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 v v) -1))) -16)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 (.f64 v v) 8) -1/8)) (.f64 (sqrt.f64 2) (+.f64 (/.f64 (.f64 v v) 8) -1/8))) -1)
(/.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) 1/2) (.f64 2 (*.f64 (sqrt.f64 2) 4))) 16)
(/.f64 (.f64 (+.f64 2 (.f64 (.f64 v v) -2)) (.f64 2 (*.f64 (sqrt.f64 2) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4)) (*.f64 2 (sqrt.f64 2))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (+.f64 2 (.f64 (*.f64 v v) -2))) 64)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) 4) (.f64 (-.f64 1 (*.f64 v v)) 4)) 256)
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 (-.f64 1 (*.f64 v v)) 4))) 64)
(/.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) 4) (.f64 (*.f64 (sqrt.f64 2) 4) 4)) 256)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 2 (.f64 (-.f64 1 (*.f64 v v)) 4))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (-.f64 1 (.f64 v v)) 4)) 64)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4))) 256)
(/.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) 4) (.f64 (sqrt.f64 2) 4)) 64)
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4)) (.f64 2 (.f64 (sqrt.f64 2) 4))) 256)
(pow.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 1)
(neg.f64 (.f64 (sqrt.f64 2) (/.f64 (-.f64 1 (.f64 v v)) -4)))

Outputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4)) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4)) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4)) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4)) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4)) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4)) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4)) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4)) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) -1/4)) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (pow.f64 v 2))) (*.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 0)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(+.f64 0 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8)))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 2)) 16) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 2)) 16) (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/8))))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(-.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 0)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(-.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 1/8))))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 1)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/2)) 2)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 2) (/.f64 (-.f64 1 (.f64 v v)) -4)) -1)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 2)) 4)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/2))) -2)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (*.f64 v v) -1)) -8)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v (*.f64 v 1/2)) -1/2)) -2)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (*.f64 v v) 1/2) -1/2)) -2)
(/.f64 (.f64 (+.f64 (.f64 v v) -1) (*.f64 (sqrt.f64 2) 4)) -16)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 2 (.f64 (sqrt.f64 2) 4))) -32)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 4)) 16)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 2 (.f64 (*.f64 v v) -2))) 8)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 2 (.f64 v (*.f64 v -2)))) 8)
(/.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 4))) 32)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) 2) -2)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (*.f64 v v) -1)) 2) -4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (/.f64 (.f64 (+.f64 (.f64 v v) -1) (*.f64 (sqrt.f64 2) 4)) 2) -8)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (/.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 2 (.f64 (sqrt.f64 2) 4))) 2) -16)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) 4))) 2) 16)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (*.f64 (sqrt.f64 2) 4)) -4)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (.f64 2 (.f64 (sqrt.f64 2) 4))) -8)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 (.f64 (sqrt.f64 2) 4) 4)) -64)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (*.f64 2 (sqrt.f64 2))) -2)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 8) -1/8) (*.f64 (sqrt.f64 2) 4)) -2)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (+.f64 (/.f64 (*.f64 v v) 8) -1/8)) -2)
(neg.f64 (.f64 (sqrt.f64 2) (.f64 2 (+.f64 (/.f64 (*.f64 v v) 8) -1/8))))
(.f64 -2 (.f64 (sqrt.f64 2) (+.f64 (/.f64 (*.f64 v v) 8) -1/8)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 8) -1/8) (.f64 2 (.f64 (sqrt.f64 2) 4))) -4)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (+.f64 (/.f64 (*.f64 v v) 8) -1/8)) -2)
(neg.f64 (.f64 (sqrt.f64 2) (.f64 2 (+.f64 (/.f64 (*.f64 v v) 8) -1/8))))
(.f64 -2 (.f64 (sqrt.f64 2) (+.f64 (/.f64 (*.f64 v v) 8) -1/8)))
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (sqrt.f64 2)) -1)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) -4) (.f64 (.f64 (sqrt.f64 2) 4) 4)) -16)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 v v) 8) -1/8) (*.f64 2 (sqrt.f64 2))) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (+.f64 (/.f64 (*.f64 v v) 8) -1/8)) -2)
(neg.f64 (.f64 (sqrt.f64 2) (.f64 2 (+.f64 (/.f64 (*.f64 v v) 8) -1/8))))
(.f64 -2 (.f64 (sqrt.f64 2) (+.f64 (/.f64 (*.f64 v v) 8) -1/8)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (-.f64 (*.f64 v (+.f64 v v)) 2)) -2)
(/.f64 (.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 (*.f64 v (+.f64 v v)) 2)) -2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 (*.f64 v (+.f64 v v)) 2))) -2)
(/.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 (*.f64 v (+.f64 v v)) 2))) -2)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (-.f64 (*.f64 v (+.f64 v v)) 2)) -4)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1))) -8)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (+.f64 (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 v v) -1)) (.f64 (.f64 2 (sqrt.f64 2)) (+.f64 (.f64 v v) -1))) -16)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -4)
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 (.f64 v v) 8) -1/8)) (.f64 (sqrt.f64 2) (+.f64 (/.f64 (.f64 v v) 8) -1/8))) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (+.f64 (/.f64 (*.f64 v v) 8) -1/8)) -2)
(neg.f64 (.f64 (sqrt.f64 2) (.f64 2 (+.f64 (/.f64 (*.f64 v v) 8) -1/8))))
(.f64 -2 (.f64 (sqrt.f64 2) (+.f64 (/.f64 (*.f64 v v) 8) -1/8)))
(/.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) 1/2) (.f64 2 (*.f64 (sqrt.f64 2) 4))) 16)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (+.f64 2 (.f64 (.f64 v v) -2)) (.f64 2 (*.f64 (sqrt.f64 2) 4))) 64)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 2 (+.f64 2 (.f64 (*.f64 v v) -2)))) 64)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 8) (+.f64 2 (.f64 v (.f64 v -2)))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4)) (*.f64 2 (sqrt.f64 2))) 64)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (+.f64 2 (.f64 (*.f64 v v) -2))) 64)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 2 (+.f64 2 (.f64 (*.f64 v v) -2)))) 64)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 8) (+.f64 2 (.f64 v (.f64 v -2)))) 64)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) 4) (.f64 (-.f64 1 (*.f64 v v)) 4)) 256)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 (-.f64 1 (*.f64 v v)) 4))) 64)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) 4) (.f64 (*.f64 (sqrt.f64 2) 4) 4)) 256)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 2 (.f64 (-.f64 1 (*.f64 v v)) 4))) 16)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (-.f64 1 (.f64 v v)) 4)) 64)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4))) 256)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) 4) (.f64 (sqrt.f64 2) 4)) 64)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 1 (.f64 v v)) 4)) (.f64 2 (.f64 (sqrt.f64 2) 4))) 256)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(pow.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4)) 1)
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))
(neg.f64 (.f64 (sqrt.f64 2) (/.f64 (-.f64 1 (.f64 v v)) -4)))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (.f64 1/4 (-.f64 1 (*.f64 v v))))

localize40.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 3 (.f64 v v)) (-.f64 1 (.f64 v (.f64 v 6))))
✓	0.0b	(-.f64 1 (.f64 v (.f64 v 6)))
	0.2b	(.f64 3 (.f64 v v))
✓	0.2b	(.f64 v (.f64 v 6))

Compiler

Compiled 121 to 79 computations (34.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(.f64 v (.f64 v 6))
0.0ms	v	@	0	(.f64 v (.f64 v 6))
0.0ms	v	@	inf	(-.f64 1 (.f64 v (.f64 v 6)))
0.0ms	v	@	inf	(+.f64 (.f64 3 (.f64 v v)) (-.f64 1 (.f64 v (.f64 v 6))))
0.0ms	v	@	0	(+.f64 (.f64 3 (.f64 v v)) (-.f64 1 (.f64 v (.f64 v 6))))

rewrite147.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational_best-simplify-83`
832×	`rational_best-simplify-51`
718×	`rational_best-simplify-63`
678×	`rational_best-simplify-57`
656×	`rational_best-simplify-67`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	82	69
2	155	69
3	441	51
4	1708	51

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs
(.f64 v (.f64 v 6))
(-.f64 1 (.f64 v (.f64 v 6)))
(+.f64 (.f64 3 (.f64 v v)) (-.f64 1 (.f64 v (.f64 v 6))))

Outputs

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6 (*.f64 v v)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (*.f64 6 (*.f64 v v))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (-.f64 2 (*.f64 6 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 2 (*.f64 6 (*.f64 v v))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 v (*.f64 v 3)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 2 (*.f64 6 (*.f64 v v)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (*.f64 6 (*.f64 v v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 (*.f64 6 (*.f64 v v))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (*.f64 v v) 12)) -2) 4) (*.f64 v (*.f64 v 24))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 v (*.f64 v 24)) (*.f64 (-.f64 (neg.f64 (*.f64 (*.f64 v v) 12)) -2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 6 (*.f64 v v))) 4) (neg.f64 (*.f64 (*.f64 v v) 12))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 v v) 12) (neg.f64 (*.f64 (-.f64 1 (*.f64 6 (*.f64 v v))) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 v (*.f64 v 3)) -1))))))

simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1174×	`rational_best-simplify-48`
1118×	`rational_best-simplify-52`
988×	`rational_best-simplify-3`
976×	`rational_best-simplify-51`
900×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	5368
1	938	5152
2	2638	3852

Stop Event

1×	node limit

Counts

184 → 215

Calls

Call 1

Inputs
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
1
(+.f64 (*.f64 -6 (pow.f64 v 2)) 1)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 1)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 1)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 1)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 1)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 1)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 1)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 1)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 1)
1
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(*.f64 -3 (pow.f64 v 2))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(*.f64 -3 (pow.f64 v 2))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (.f64 6 (.f64 v v)) 0)
(+.f64 (.f64 v (.f64 v 3)) (.f64 v (.f64 v 3)))
(+.f64 0 (.f64 6 (.f64 v v)))
(+.f64 (.f64 v (.f64 v 3/2)) (/.f64 (.f64 (.f64 v v) 18) 4))
(+.f64 (/.f64 (.f64 (.f64 v v) 18) 4) (.f64 v (.f64 v 3/2)))
(+.f64 (/.f64 (.f64 (.f64 v v) 18) 4) (neg.f64 (neg.f64 (.f64 v (.f64 v 3/2)))))
(-.f64 (.f64 6 (.f64 v v)) 0)
(-.f64 (.f64 v (.f64 v 3)) (.f64 (.f64 v v) -3))
(-.f64 0 (neg.f64 (.f64 6 (.f64 v v))))
(-.f64 (.f64 v (.f64 v 3/2)) (.f64 -3 (.f64 v (*.f64 v 3/2))))
(-.f64 (/.f64 (.f64 (.f64 v v) 18) 4) (neg.f64 (.f64 v (.f64 v 3/2))))
(-.f64 (+.f64 (.f64 6 (.f64 v v)) (.f64 v (.f64 v 3/2))) (.f64 v (.f64 v 3/2)))
(-.f64 (+.f64 (/.f64 (.f64 6 (.f64 v v)) 8) (.f64 v (.f64 v 3/2))) (-.f64 (.f64 (.f64 v v) -3) (/.f64 (.f64 6 (.f64 v v)) 8)))
(/.f64 (.f64 6 (.f64 v v)) 1)
(/.f64 (neg.f64 (.f64 6 (.f64 v v))) -1)
(/.f64 (.f64 (.f64 v v) 12) 2)
(/.f64 (.f64 v (.f64 v 24)) 4)
(/.f64 (neg.f64 (.f64 (.f64 v v) 12)) -2)
(/.f64 (neg.f64 (.f64 v (.f64 v 24))) -4)
(/.f64 (.f64 (.f64 (*.f64 v v) 12) 4) 8)
(/.f64 (.f64 (.f64 v 24) (*.f64 v 4)) 16)
(/.f64 (/.f64 (neg.f64 (.f64 (.f64 v v) 12)) -1) 2)
(/.f64 (/.f64 (neg.f64 (.f64 v (.f64 v 24))) -1) 4)
(/.f64 (.f64 v (.f64 v -6)) -1)
(/.f64 (.f64 (.f64 2 (.f64 v 24)) (.f64 2 (*.f64 v 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 v 4)) (.f64 2 (*.f64 v 24))) 64)
(/.f64 (.f64 (.f64 v 12) (.f64 2 (.f64 v 4))) 16)
(/.f64 (.f64 (+.f64 v v) (.f64 2 (*.f64 v 24))) 16)
(pow.f64 (.f64 6 (.f64 v v)) 1)
(neg.f64 (neg.f64 (.f64 6 (.f64 v v))))
(+.f64 1 (neg.f64 (.f64 6 (.f64 v v))))
(+.f64 1 (neg.f64 (+.f64 1 (+.f64 (.f64 6 (.f64 v v)) -1))))
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(+.f64 (.f64 v (.f64 v 3)) (neg.f64 (+.f64 (.f64 v (.f64 v 9)) -1)))
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(+.f64 0 (-.f64 1 (.f64 6 (.f64 v v))))
(+.f64 0 (-.f64 (+.f64 (.f64 (.f64 v v) -3) 1/2) (-.f64 1/2 (+.f64 1 (.f64 (.f64 v v) -3)))))
(+.f64 0 (-.f64 (.f64 v (.f64 v 3/2)) (+.f64 (+.f64 (.f64 6 (.f64 v v)) -1) (.f64 v (.f64 v 3/2)))))
(+.f64 (neg.f64 (.f64 6 (.f64 v v))) 1)
(+.f64 (.f64 (.f64 v v) -3) (+.f64 1 (.f64 (.f64 v v) -3)))
(+.f64 (-.f64 (neg.f64 (.f64 (.f64 v v) 12)) -2) (+.f64 (.f64 6 (.f64 v v)) -1))
(+.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 v v) -3) (+.f64 (.f64 v (.f64 v 9)) -1)) 2))
(+.f64 (.f64 v (.f64 v 3/2)) (-.f64 (.f64 v (.f64 v 3/2)) (+.f64 (.f64 v (.f64 v 9)) -1)))
(+.f64 (.f64 v (.f64 v 3/2)) (neg.f64 (+.f64 (+.f64 (.f64 6 (.f64 v v)) -1) (.f64 v (.f64 v 3/2)))))
(+.f64 (+.f64 (.f64 (.f64 v v) -3) 1/2) (+.f64 (.f64 (.f64 v v) -3) 1/2))
(+.f64 (-.f64 1/2 (.f64 v (.f64 v 3/2))) (/.f64 (-.f64 (-.f64 1 (.f64 v (.f64 v 9))) (+.f64 (.f64 v (.f64 v 9)) -1)) 4))
(+.f64 (-.f64 1 (+.f64 (.f64 v (.f64 v 9)) -1/2)) (-.f64 1/2 (+.f64 1 (.f64 (.f64 v v) -3))))
(+.f64 (-.f64 1 (+.f64 (.f64 v (.f64 v 9)) -1/2)) (+.f64 (.f64 v (.f64 v 3)) -1/2))
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(+.f64 (-.f64 1/2 (+.f64 1 (.f64 (.f64 v v) -3))) (-.f64 1 (+.f64 (.f64 v (.f64 v 9)) -1/2)))
(+.f64 (-.f64 1/4 (.f64 v (.f64 v 3/2))) (/.f64 (.f64 (-.f64 1 (.f64 6 (*.f64 v v))) 3) 4))
(+.f64 (-.f64 1/4 (.f64 v (.f64 v 3/2))) (/.f64 (-.f64 1 (+.f64 (.f64 v (.f64 v 9)) -1/2)) 2))
(+.f64 (-.f64 (.f64 v (.f64 v 3/2)) (.f64 v (.f64 v 3))) (-.f64 1 (/.f64 (.f64 (.f64 v v) 18) 4)))
(+.f64 (-.f64 (-.f64 1 (.f64 6 (.f64 v v))) (+.f64 (.f64 (.f64 v v) -3) 1/2)) (neg.f64 (-.f64 1/2 (+.f64 1 (.f64 (.f64 v v) -3)))))
(+.f64 (-.f64 1 (.f64 v (.f64 v 3/2))) (neg.f64 (/.f64 (.f64 (.f64 v v) 18) 4)))
(+.f64 (-.f64 (+.f64 (.f64 (.f64 v v) -3) 1/2) (neg.f64 (.f64 6 (.f64 v v)))) (-.f64 (+.f64 (.f64 (.f64 v v) -3) 1/2) (+.f64 1 (+.f64 (.f64 6 (.f64 v v)) -1))))
(+.f64 (-.f64 (+.f64 (.f64 (.f64 v v) -3) 1/2) 1) (+.f64 1 (+.f64 (.f64 (.f64 v v) -3) 1/2)))
(.f64 1 (-.f64 1 (.f64 6 (*.f64 v v))))
(.f64 (-.f64 1 (.f64 6 (*.f64 v v))) 1)
(.f64 (+.f64 (.f64 6 (*.f64 v v)) -1) -1)
(.f64 (-.f64 (neg.f64 (.f64 (*.f64 v v) 12)) -2) 1/2)
(.f64 -1 (+.f64 (.f64 6 (*.f64 v v)) -1))
(.f64 1/2 (-.f64 (neg.f64 (.f64 (*.f64 v v) 12)) -2))
(.f64 (.f64 (-.f64 1 (.f64 6 (.f64 v v))) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 1 (.f64 6 (.f64 v v))) 4))
(.f64 (.f64 (-.f64 (neg.f64 (.f64 (.f64 v v) 12)) -2) 4) 1/8)
(/.f64 (-.f64 1 (.f64 6 (.f64 v v))) 1)
(/.f64 (+.f64 (.f64 6 (.f64 v v)) -1) -1)
(/.f64 (-.f64 (neg.f64 (.f64 (.f64 v v) 12)) -2) 2)
(/.f64 (.f64 (-.f64 1 (.f64 6 (*.f64 v v))) 4) 4)
(/.f64 (neg.f64 (.f64 (-.f64 1 (.f64 6 (*.f64 v v))) 4)) -4)
(/.f64 (-.f64 (.f64 (.f64 v v) 12) 2) -2)
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 (*.f64 v v) 12)) -2) 4) 8)
(/.f64 (/.f64 (neg.f64 (.f64 (-.f64 1 (.f64 6 (*.f64 v v))) 4)) -1) 4)
(/.f64 (+.f64 (.f64 2 (-.f64 2 (.f64 6 (.f64 v v)))) (neg.f64 (.f64 (*.f64 v v) 12))) 4)
(pow.f64 (-.f64 1 (.f64 6 (.f64 v v))) 1)
(neg.f64 (+.f64 (.f64 6 (.f64 v v)) -1))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 (.f64 v (.f64 v 9)) -1))
(-.f64 1 (.f64 v (.f64 v 3)))
(-.f64 (-.f64 1 (.f64 6 (.f64 v v))) (.f64 (.f64 v v) -3))
(-.f64 (.f64 v (.f64 v 3)) (+.f64 (.f64 6 (.f64 v v)) -1))
(-.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 0)
(-.f64 0 (+.f64 (.f64 v (.f64 v 3)) -1))
(-.f64 (neg.f64 (.f64 6 (.f64 v v))) (-.f64 0 (+.f64 1 (.f64 v (.f64 v 3)))))
(-.f64 (neg.f64 (.f64 6 (.f64 v v))) (-.f64 -1 (.f64 v (.f64 v 3))))
(-.f64 (neg.f64 (.f64 6 (.f64 v v))) (+.f64 -1 (.f64 (.f64 v v) -3)))
(-.f64 (.f64 (.f64 v v) -3) -1)
(-.f64 (-.f64 (neg.f64 (.f64 (.f64 v v) 12)) -2) (-.f64 1 (.f64 v (.f64 v 9))))
(-.f64 (+.f64 1 (.f64 v (.f64 v 3))) (.f64 6 (.f64 v v)))
(-.f64 1/2 (+.f64 (.f64 v (.f64 v 3)) -1/2))
(-.f64 (.f64 v (.f64 v 3/2)) (-.f64 0 (-.f64 1 (/.f64 (.f64 (.f64 v v) 18) 4))))
(-.f64 (.f64 v (.f64 v 3/2)) (-.f64 (.f64 6 (.f64 v v)) (+.f64 1 (.f64 v (.f64 v 3/2)))))
(-.f64 (.f64 v (.f64 v 3/2)) (+.f64 (neg.f64 (.f64 v (.f64 v 3/2))) (+.f64 (.f64 6 (.f64 v v)) -1)))
(-.f64 (.f64 v (.f64 v 3/2)) (/.f64 (-.f64 0 (+.f64 (-.f64 1 (.f64 v (.f64 v 9))) 1)) 2))
(-.f64 (+.f64 (.f64 (.f64 v v) -3) 1/2) -1/2)
(-.f64 (+.f64 (.f64 (.f64 v v) -3) 1/2) (+.f64 (+.f64 (.f64 v (.f64 v 3)) -1/2) (.f64 (.f64 v v) -3)))
(-.f64 (-.f64 1/2 (.f64 v (.f64 v 3/2))) (+.f64 -1/2 (.f64 v (.f64 v 3/2))))
(-.f64 (-.f64 1/2 (.f64 v (.f64 v 3/2))) (/.f64 (-.f64 (.f64 6 (.f64 v v)) 2) 4))
(-.f64 (-.f64 1 (/.f64 (.f64 (.f64 v v) 18) 4)) (neg.f64 (.f64 v (.f64 v 3/2))))
(-.f64 (+.f64 1 (.f64 v (.f64 v 3/2))) (/.f64 (.f64 (.f64 v v) 18) 4))
(-.f64 (neg.f64 (.f64 v (.f64 v 3/2))) (-.f64 (.f64 v (.f64 v 3/2)) 1))
(-.f64 (neg.f64 (.f64 v (.f64 v 3/2))) (-.f64 (/.f64 (.f64 (.f64 v v) 18) 4) (+.f64 1 (.f64 v (.f64 v 3)))))
(-.f64 (+.f64 1/2 (.f64 v (.f64 v 3/2))) (/.f64 (+.f64 (.f64 v (.f64 v 9)) -1) 2))
(-.f64 (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8)) (/.f64 (-.f64 (/.f64 (+.f64 (.f64 v (.f64 v 9)) -1) 2) 1) 2))
(-.f64 (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8)) (-.f64 (+.f64 -1/2 (.f64 v (.f64 v 3/2))) (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8))))
(-.f64 (/.f64 (.f64 (.f64 v v) 18) 4) (-.f64 (+.f64 (.f64 v (.f64 v 9)) -1) (.f64 v (.f64 v 3/2))))
(-.f64 (+.f64 (.f64 6 (.f64 v v)) (+.f64 (.f64 (.f64 v v) -3) 1/2)) (+.f64 (.f64 6 (.f64 v v)) -1/2))
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(-.f64 (/.f64 (+.f64 (-.f64 1 (.f64 6 (.f64 v v))) (-.f64 1/2 (.f64 v (.f64 v 3/2)))) 2) (/.f64 (-.f64 -1/2 (.f64 v (.f64 v 3/2))) 2))
(-.f64 (/.f64 (.f64 (-.f64 2 (.f64 6 (.f64 v v))) 3/2) 4) (/.f64 (+.f64 (.f64 v (*.f64 v 3)) -1) 4))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 2 (.f64 6 (.f64 v v))) 3/2) 2) 2) (/.f64 (+.f64 -1/2 (.f64 v (*.f64 v 3/2))) 2))
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(-.f64 (/.f64 (+.f64 1 (-.f64 1/2 (.f64 v (.f64 v 3/2)))) 2) (/.f64 (/.f64 (+.f64 (.f64 v (.f64 v 9)) -1) 2) 2))
(-.f64 (/.f64 (+.f64 (+.f64 1 (.f64 v (.f64 v 3))) (-.f64 1/2 (.f64 v (.f64 v 3/2)))) 2) (/.f64 (+.f64 (.f64 v (.f64 v 3/2)) (+.f64 (.f64 6 (.f64 v v)) -1/2)) 2))
(-.f64 (/.f64 (-.f64 (.f64 6 (.f64 v v)) -2) 2) (/.f64 (+.f64 (+.f64 1 (.f64 v (.f64 v 3))) (+.f64 (.f64 v (.f64 v 9)) -1)) 2))
(-.f64 (-.f64 (.f64 v (.f64 v 3)) (+.f64 (+.f64 (.f64 6 (.f64 v v)) -1) (.f64 v (.f64 v 3/2)))) (-.f64 (.f64 v (.f64 v 3/2)) (.f64 v (.f64 v 3))))
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(pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1)
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Outputs
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
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1
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1
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(-.f64 (+.f64 (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8)) (.f64 v (.f64 v 3/2))) (-.f64 (+.f64 (.f64 v (.f64 v 3)) -1/2) (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(-.f64 (+.f64 (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8)) (+.f64 (.f64 (.f64 v v) -3) 1/2)) (-.f64 (neg.f64 (.f64 v (.f64 v 3/2))) (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(-.f64 (+.f64 (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8)) (-.f64 1/2 (.f64 v (.f64 v 3/2)))) (-.f64 0 (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(-.f64 (+.f64 (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8)) 1/2) (-.f64 (.f64 v (.f64 v 3/2)) (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(-.f64 (+.f64 (/.f64 (.f64 6 (.f64 v v)) 8) (.f64 v (.f64 v 3/2))) (-.f64 (+.f64 (.f64 6 (.f64 v v)) -1) (/.f64 (.f64 6 (.f64 v v)) 8)))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(-.f64 (+.f64 (.f64 v (.f64 v 3/2)) (neg.f64 (.f64 6 (.f64 v v)))) (-.f64 -1 (.f64 v (.f64 v 3/2))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(-.f64 (+.f64 (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8)) (+.f64 1/2 (.f64 v (.f64 v 3/2)))) (-.f64 (.f64 v (.f64 v 3)) (-.f64 1/4 (/.f64 (.f64 6 (.f64 v v)) 8))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(.f64 -1 (+.f64 (.f64 v (*.f64 v 3)) -1))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(.f64 1/2 (-.f64 2 (.f64 6 (*.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(.f64 (+.f64 (.f64 v (*.f64 v 3)) -1) -1)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(.f64 (.f64 2 (-.f64 2 (.f64 6 (.f64 v v)))) 1/4)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(.f64 (-.f64 2 (.f64 6 (*.f64 v v))) 1/2)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(.f64 1/4 (.f64 2 (-.f64 2 (.f64 6 (.f64 v v)))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(.f64 (.f64 (-.f64 2 (.f64 6 (.f64 v v))) 4) 1/8)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(/.f64 (+.f64 (.f64 v (.f64 v 3)) -1) -1)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(/.f64 (.f64 2 (-.f64 2 (.f64 6 (*.f64 v v)))) 4)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(/.f64 (-.f64 2 (.f64 6 (.f64 v v))) 2)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(/.f64 (.f64 (-.f64 2 (.f64 6 (*.f64 v v))) 4) 8)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(/.f64 (+.f64 (.f64 (-.f64 (neg.f64 (.f64 (.f64 v v) 12)) -2) 4) (.f64 v (*.f64 v 24))) 8)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(/.f64 (+.f64 (.f64 v (.f64 v 24)) (.f64 (-.f64 (neg.f64 (.f64 (*.f64 v v) 12)) -2) 4)) 8)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(/.f64 (-.f64 (.f64 (-.f64 1 (.f64 6 (.f64 v v))) 4) (neg.f64 (.f64 (*.f64 v v) 12))) 4)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(/.f64 (-.f64 (.f64 (.f64 v v) 12) (neg.f64 (.f64 (-.f64 1 (.f64 6 (*.f64 v v))) 4))) 4)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1)
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))
(neg.f64 (+.f64 (.f64 v (.f64 v 3)) -1))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 9 (.f64 v v))))
(-.f64 (.f64 6 (.f64 v v)) (+.f64 -1 (.f64 v (.f64 v 9))))
(+.f64 1 (.f64 -3 (.f64 v v)))

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
✓	0.0b	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
✓	0.0b	(-.f64 2 (.f64 v (.f64 v 6)))
	0.2b	(.f64 v (.f64 v 6))

Compiler

Compiled 67 to 44 computations (34.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
1.0ms	v	@	0	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
0.0ms	v	@	-inf	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
0.0ms	v	@	-inf	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
0.0ms	v	@	inf	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))

rewrite77.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`rational_best-simplify-63`
658×	`rational_best-simplify-83`
608×	`rational_best-simplify-47`
582×	`rational_best-4`
582×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	83
1	94	83
2	166	83
3	430	83
4	1538	83

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs
(-.f64 2 (.f64 v (.f64 v 6)))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (neg.f64 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (*.f64 v (*.f64 v 6)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 1 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 1 (*.f64 v (*.f64 v 6))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 2 (neg.f64 (*.f64 (*.f64 v v) 12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (*.f64 (*.f64 v v) 12) -4) (+.f64 1 (/.f64 (*.f64 (*.f64 v v) 12) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 1 (+.f64 2 (+.f64 (*.f64 v (*.f64 v 6)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 v (*.f64 v 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 4 (neg.f64 (*.f64 (*.f64 v v) 12))) (+.f64 (*.f64 v (*.f64 v 6)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (*.f64 (*.f64 v v) 12) -4)) (+.f64 1 (/.f64 (*.f64 (*.f64 v v) 12) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 3) 2) (+.f64 -1 (*.f64 v (*.f64 (*.f64 v 6) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 3) 2) (-.f64 (+.f64 1 (/.f64 (*.f64 (*.f64 v v) 12) -4)) (-.f64 2 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (/.f64 (*.f64 (*.f64 v v) 12) -4)) (/.f64 (*.f64 (*.f64 v v) 12) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 v v) 12) -4) (+.f64 2 (/.f64 (*.f64 (*.f64 v v) 12) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 v v) 12) -4) (+.f64 (/.f64 (*.f64 (*.f64 v v) 12) -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 v (*.f64 v 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (*.f64 (*.f64 v v) 12) -4) 2) (/.f64 (*.f64 (*.f64 v v) 12) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (*.f64 (*.f64 v v) 12) 8)) (+.f64 (-.f64 1/2 (/.f64 (*.f64 (*.f64 v v) 12) 8)) (+.f64 1 (/.f64 (*.f64 (*.f64 v v) 12) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (*.f64 (*.f64 v v) 12) 8)) (/.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (*.f64 (*.f64 v v) 12) 8)) (/.f64 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 (*.f64 v v) 12) -4)) (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 2 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simplify167.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1000×	`rational_best-simplify-47`
914×	`rational_best-simplify-50`
672×	`rational_best-simplify-1`
598×	`rational_best-simplify-108`
594×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	330	5691
1	871	5335
2	2219	4983
3	7606	4959

Stop Event

1×	node limit

Counts

135 → 233

Calls

Call 1

Inputs
2
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -1 (sqrt.f64 2))
(+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (*.f64 3 (/.f64 1 (sqrt.f64 2))))))
(+.f64 (.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (.f64 3 (/.f64 1 (sqrt.f64 2)))))))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (.f64 27/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 5))) (.f64 9/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))))) (+.f64 (.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 3 (/.f64 1 (sqrt.f64 2))))))))
(*.f64 (sqrt.f64 -6) (pow.f64 v 3))
(+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 -1 (sqrt.f64 -6)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 -1 (sqrt.f64 -6))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 3)))) (+.f64 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))))
(.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(+.f64 (.f64 -1 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))))) (.f64 -1 (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (+.f64 (.f64 -1 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) v))) (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -6))))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) v))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 5))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 -6) v)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(+.f64 2 (neg.f64 (.f64 v (.f64 v 6))))
(+.f64 (-.f64 2 (.f64 v (.f64 v 6))) 0)
(+.f64 -1 (-.f64 1 (+.f64 (.f64 v (.f64 v 6)) -2)))
(+.f64 0 (-.f64 2 (.f64 v (.f64 v 6))))
(+.f64 1 (-.f64 1 (.f64 v (.f64 v 6))))
(+.f64 1 (+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 0))
(+.f64 1 (/.f64 (+.f64 2 (neg.f64 (.f64 (.f64 v v) 12))) 2))
(+.f64 1 (+.f64 (/.f64 (.f64 (.f64 v v) 12) -4) (+.f64 1 (/.f64 (.f64 (.f64 v v) 12) -4))))
(+.f64 1 (-.f64 1 (+.f64 2 (+.f64 (.f64 v (.f64 v 6)) -2))))
(+.f64 (neg.f64 (.f64 v (.f64 v 6))) 2)
(+.f64 (+.f64 4 (neg.f64 (.f64 (.f64 v v) 12))) (+.f64 (.f64 v (.f64 v 6)) -2))
(+.f64 (+.f64 1 (/.f64 (.f64 (.f64 v v) 12) -4)) (+.f64 1 (/.f64 (.f64 (.f64 v v) 12) -4)))
(+.f64 (/.f64 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 3) 2) (+.f64 -1 (.f64 v (.f64 (.f64 v 6) 1/2))))
(+.f64 (/.f64 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 3) 2) (-.f64 (+.f64 1 (/.f64 (.f64 (.f64 v v) 12) -4)) (-.f64 2 (.f64 v (*.f64 v 6)))))
(+.f64 (+.f64 2 (/.f64 (.f64 (.f64 v v) 12) -4)) (/.f64 (.f64 (.f64 v v) 12) -4))
(+.f64 (/.f64 (.f64 (.f64 v v) 12) -4) (+.f64 2 (/.f64 (.f64 (.f64 v v) 12) -4)))
(+.f64 (/.f64 (.f64 (.f64 v v) 12) -4) (+.f64 (/.f64 (.f64 (.f64 v v) 12) -4) 2))
(+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)
(+.f64 (+.f64 (/.f64 (.f64 (.f64 v v) 12) -4) 2) (/.f64 (.f64 (.f64 v v) 12) -4))
(+.f64 (-.f64 1/2 (/.f64 (.f64 (.f64 v v) 12) 8)) (+.f64 (-.f64 1/2 (/.f64 (.f64 (.f64 v v) 12) 8)) (+.f64 1 (/.f64 (.f64 (.f64 v v) 12) -4))))
(+.f64 (-.f64 1/2 (/.f64 (.f64 (.f64 v v) 12) 8)) (/.f64 (/.f64 (.f64 (-.f64 2 (.f64 v (*.f64 v 6))) 3) 2) 2))
(+.f64 (-.f64 1/2 (/.f64 (.f64 (.f64 v v) 12) 8)) (/.f64 (.f64 (-.f64 2 (.f64 v (*.f64 v 6))) 3) 4))
(+.f64 (-.f64 (+.f64 1 (/.f64 (.f64 (.f64 v v) 12) -4)) (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (.f64 (-.f64 2 (.f64 v (*.f64 v 6))) 3) 2))
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(.f64 -1 (+.f64 (.f64 v (*.f64 v 6)) -2))
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(.f64 (+.f64 (.f64 v (*.f64 v 6)) -2) -1)
(.f64 (+.f64 4 (neg.f64 (.f64 (*.f64 v v) 12))) 1/2)
(.f64 1/2 (+.f64 4 (neg.f64 (.f64 (*.f64 v v) 12))))
(.f64 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 4))
(.f64 (.f64 (+.f64 4 (neg.f64 (.f64 (.f64 v v) 12))) 4) 1/8)
(/.f64 (-.f64 2 (.f64 v (.f64 v 6))) 1)
(/.f64 (+.f64 (.f64 v (.f64 v 6)) -2) -1)
(/.f64 (+.f64 4 (neg.f64 (.f64 (.f64 v v) 12))) 2)
(/.f64 (.f64 (-.f64 2 (.f64 v (*.f64 v 6))) 4) 4)
(/.f64 (.f64 (+.f64 4 (neg.f64 (.f64 (*.f64 v v) 12))) 4) 8)
(/.f64 (.f64 2 (+.f64 (.f64 v (*.f64 v 6)) -2)) -2)
(pow.f64 (-.f64 2 (.f64 v (.f64 v 6))) 1)
(neg.f64 (+.f64 (.f64 v (.f64 v 6)) -2))
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(+.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (*.f64 v v)) 3)) 2) 2))
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(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 4) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 (.f64 v (.f64 v 1/2)) -1/2))) (-.f64 0 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (.f64 v v)) 3)) 2) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (*.f64 v v))) -2) 2))
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(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (*.f64 v v)) 4)) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (.f64 v v)) 4))) 8)
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(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)) (.f64 2 (.f64 (+.f64 -1 (.f64 v v)) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (+.f64 -1 (.f64 v v)) 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4))) 64)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (.f64 (+.f64 -1 (*.f64 v v)) 4))) 16)
(/.f64 (.f64 (.f64 -2 (-.f64 1 (.f64 v v))) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 4))) 16)
(pow.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 1)
(+.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 0)
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(-.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 0)
(-.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 1/2) (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) -2))
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(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 4))
(.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 1/2))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 1)
(.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
(.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 1/2) 2)
(.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4) 1/4)
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4))
(.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 4)) 1/8)
(.f64 (sqrt.f64 (+.f64 4 (neg.f64 (.f64 (*.f64 v v) 12)))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 4 (neg.f64 (.f64 (*.f64 v v) 12)))))
(/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)) 8)
(pow.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 1)

Outputs
2
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(*.f64 -1 (sqrt.f64 2))
(neg.f64 (sqrt.f64 2))
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(+.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (/.f64 3 (sqrt.f64 2)))))
(-.f64 (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (/.f64 3 (sqrt.f64 2)))) (sqrt.f64 2))
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(*.f64 (sqrt.f64 -6) (pow.f64 v 3))
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(sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))
(pow.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 1)
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))

eval562.0ms (9.3%)

Compiler: Compiled 15507 to 11349 computations (26.8% saved)

prune330.0ms (5.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	584	2	586
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	587	4	591

Error

Counts

591 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v))) -4)
▶	0.0b	(/.f64 (.f64 (sqrt.f64 (+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)) (+.f64 -1 (.f64 v v))) -4)
✓	1.3b	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))
✓	1.3b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 52 to 41 computations (21.2% saved)

localize61.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)) (+.f64 -1 (.f64 v v)))
✓	0.0b	(+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)
	0.0b	(-.f64 1 (.f64 v (.f64 v 6)))
	0.2b	(.f64 v (.f64 v 6))

Compiler

Compiled 82 to 57 computations (30.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(.f64 (sqrt.f64 (+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)) (+.f64 -1 (.f64 v v)))
0.0ms	v	@	-inf	(.f64 (sqrt.f64 (+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)) (+.f64 -1 (.f64 v v)))
0.0ms	v	@	inf	(.f64 (sqrt.f64 (+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)) (+.f64 -1 (.f64 v v)))
0.0ms	v	@	0	(+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)
0.0ms	v	@	inf	(+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`rational_best-simplify-48`
764×	`rational_best-simplify-63`
750×	`rational_best-simplify-52`
684×	`rational_best-4`
684×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	72
1	101	60
2	178	60
3	477	60
4	1752	60

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)
(.f64 (sqrt.f64 (+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)) (+.f64 -1 (.f64 v v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (*.f64 v (*.f64 v 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 v (*.f64 v 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) (/.f64 (+.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) (+.f64 (*.f64 v (*.f64 v 6)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 v (*.f64 v 6)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (*.f64 v (*.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 v (*.f64 v 6))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (+.f64 (+.f64 -1 (/.f64 (*.f64 v (*.f64 v 6)) 2)) (+.f64 (/.f64 (*.f64 v (*.f64 v 6)) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (+.f64 (+.f64 (*.f64 v (*.f64 v 6)) -1) (+.f64 (*.f64 v (*.f64 v 6)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/2 (/.f64 (*.f64 v (*.f64 v 6)) 2)) (-.f64 (/.f64 (*.f64 v (*.f64 v 6)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/2 (/.f64 (*.f64 v (*.f64 v 6)) 2)) (+.f64 (+.f64 -1 (/.f64 (*.f64 v (*.f64 v 6)) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/2 (/.f64 (*.f64 v (*.f64 v 6)) 2)) (/.f64 (+.f64 -1 (+.f64 (*.f64 v (*.f64 v 6)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/2 (/.f64 (*.f64 v (*.f64 v 6)) 2)) (/.f64 (+.f64 (+.f64 (*.f64 v (*.f64 v 6)) -1) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (*.f64 v (*.f64 v 6)) 2)) (+.f64 -1 (/.f64 (*.f64 v (*.f64 v 6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (*.f64 v (*.f64 v 6)) 2)) (/.f64 (*.f64 -2 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 3 (*.f64 v (*.f64 v 6))) 2) (+.f64 (/.f64 (*.f64 v (*.f64 v 6)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 v (*.f64 v 6)) -2) (-.f64 (/.f64 (*.f64 v (*.f64 v 6)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 4) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v 18)) 2) -1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (-.f64 1 (*.f64 v (*.f64 v 6)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (+.f64 -1 (/.f64 (*.f64 v (*.f64 v 6)) 2))) (/.f64 (*.f64 v (*.f64 v 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/2 (+.f64 -1 (/.f64 (*.f64 v (*.f64 v 6)) 2))) (+.f64 (/.f64 (*.f64 v (*.f64 v 6)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 1/2 (/.f64 (*.f64 v (*.f64 v 6)) 2)) (+.f64 -1 (/.f64 (*.f64 v (*.f64 v 6)) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (-.f64 1 (/.f64 (*.f64 v (*.f64 v 6)) 2))) 2) (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v 18)) 2) -1) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v 6)) -2) (neg.f64 (*.f64 v (*.f64 v 6)))) -2) 2) (/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 v 6)) 2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 2) 2) (/.f64 (*.f64 v (*.f64 v 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 3) 2) 2) (/.f64 (+.f64 -1 (/.f64 (*.f64 v (*.f64 v 6)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 3) 4) (/.f64 (+.f64 (*.f64 v (*.f64 v 6)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 2 (-.f64 1 (/.f64 (*.f64 v (*.f64 v 6)) 2))) 2) (/.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v 18)) 2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) (-.f64 2 (*.f64 v (*.f64 v 12)))) 4) (/.f64 (+.f64 -4 (*.f64 v (*.f64 v 6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (*.f64 v (*.f64 v 12))) -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (neg.f64 (*.f64 v (*.f64 v 12))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 v (*.f64 v 6)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (neg.f64 (*.f64 v (*.f64 v 12))) -4) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 v (*.f64 v 12))) -4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 v (*.f64 v 6)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 (*.f64 v (*.f64 v 12))) -4) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (*.f64 v (*.f64 v 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 v (*.f64 v 6)) -2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 2) (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (+.f64 -1 (*.f64 v v)) 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 4) (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (+.f64 -1 (*.f64 v v)) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 2) (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 2) (/.f64 (*.f64 -2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (+.f64 -1 (*.f64 v v)) 3)) 2) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (+.f64 -1 (*.f64 v v)) 3)) 4) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 (*.f64 v (+.f64 v v)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (+.f64 -1 (*.f64 v v)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (-.f64 (*.f64 v (+.f64 v v)) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 -1 (*.f64 v v)) 4) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 -1 (*.f64 v v))) 1)))))

simplify134.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

980×	`rational_best-simplify-47`
828×	`rational_best-simplify-1`
754×	`rational_best-simplify-55`
608×	`rational_best-simplify-108`
604×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	256	3052
1	722	2958
2	1866	2814
3	6603	2798

Stop Event

1×	node limit

Counts

84 → 129

Calls

Call 1

Inputs
2
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -1 (sqrt.f64 2))
(+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (*.f64 3 (/.f64 1 (sqrt.f64 2))))))
(+.f64 (.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (.f64 3 (/.f64 1 (sqrt.f64 2)))))))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (.f64 27/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 5))) (.f64 9/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))))) (+.f64 (.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 3 (/.f64 1 (sqrt.f64 2))))))))
(*.f64 (sqrt.f64 -6) (pow.f64 v 3))
(+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 -1 (sqrt.f64 -6)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 -1 (sqrt.f64 -6))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 3)))) (+.f64 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))))
(.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(+.f64 (.f64 -1 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))))) (.f64 -1 (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (+.f64 (.f64 -1 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) v))) (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -6))))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) v))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 5))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)))))))
(-.f64 1 (+.f64 (.f64 v (.f64 v 6)) -1))
(-.f64 (-.f64 1 (.f64 v (.f64 v 6))) -1)
(-.f64 (-.f64 2 (.f64 v (.f64 v 6))) 0)
(-.f64 (-.f64 2 (.f64 v (.f64 v 6))) (/.f64 (+.f64 (-.f64 2 (.f64 v (.f64 v 6))) (+.f64 (.f64 v (.f64 v 6)) -2)) 2))
(-.f64 0 (+.f64 (.f64 v (.f64 v 6)) -2))
(-.f64 2 (.f64 v (.f64 v 6)))
(-.f64 (neg.f64 (.f64 v (.f64 v 6))) -2)
(-.f64 1/2 (+.f64 (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2)) (+.f64 (/.f64 (.f64 v (.f64 v 6)) 2) -1/2)))
(-.f64 1/2 (/.f64 (+.f64 (+.f64 (.f64 v (.f64 v 6)) -1) (+.f64 (.f64 v (.f64 v 6)) -2)) 2))
(-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 2)) (-.f64 (/.f64 (.f64 v (.f64 v 6)) 2) 3/2))
(-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 2)) (+.f64 (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2)) -1/2))
(-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 2)) (/.f64 (+.f64 -1 (+.f64 (.f64 v (.f64 v 6)) -2)) 2))
(-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 2)) (/.f64 (+.f64 (+.f64 (.f64 v (.f64 v 6)) -1) -2) 2))
(-.f64 (-.f64 1 (/.f64 (.f64 v (.f64 v 6)) 2)) (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2)))
(-.f64 (-.f64 1 (/.f64 (.f64 v (.f64 v 6)) 2)) (/.f64 (.f64 -2 (-.f64 2 (.f64 v (*.f64 v 6)))) 4))
(-.f64 (/.f64 (-.f64 3 (.f64 v (.f64 v 6))) 2) (+.f64 (/.f64 (.f64 v (.f64 v 6)) 2) -1/2))
(-.f64 (/.f64 (.f64 v (.f64 v 6)) -2) (-.f64 (/.f64 (.f64 v (.f64 v 6)) 2) 2))
(-.f64 (/.f64 (-.f64 2 (.f64 v (.f64 v 6))) 4) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 v (.f64 v 18)) 2) -1) 2) 2))
(-.f64 (+.f64 1/2 (-.f64 1 (.f64 v (.f64 v 6)))) -1/2)
(-.f64 (-.f64 1 (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2))) (/.f64 (.f64 v (.f64 v 6)) 2))
(-.f64 (-.f64 1/2 (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2))) (+.f64 (/.f64 (.f64 v (.f64 v 6)) 2) -1/2))
(-.f64 (-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 2)) (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2))) -1/2)
(-.f64 (/.f64 (+.f64 1 (-.f64 1 (/.f64 (.f64 v (.f64 v 6)) 2))) 2) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 v (.f64 v 18)) 2) -1) -1) 2))
(-.f64 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 v (.f64 v 6)) -2) (neg.f64 (.f64 v (.f64 v 6)))) -2) 2) (/.f64 (-.f64 (/.f64 (.f64 v (.f64 v 6)) 2) 2) 2))
(-.f64 (/.f64 (+.f64 (-.f64 2 (.f64 v (.f64 v 6))) 2) 2) (/.f64 (.f64 v (.f64 v 6)) 2))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 3) 2) 2) (/.f64 (+.f64 -1 (/.f64 (.f64 v (*.f64 v 6)) 2)) 2))
(-.f64 (/.f64 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 3) 4) (/.f64 (+.f64 (.f64 v (*.f64 v 6)) -2) 4))
(-.f64 (/.f64 (+.f64 2 (-.f64 1 (/.f64 (.f64 v (.f64 v 6)) 2))) 2) (/.f64 (+.f64 (/.f64 (.f64 v (.f64 v 18)) 2) -1) 2))
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(.f64 1 (-.f64 2 (.f64 v (*.f64 v 6))))
(.f64 (-.f64 2 (.f64 v (*.f64 v 6))) 1)
(.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 12))) -4) 1/2)
(.f64 1/2 (-.f64 (neg.f64 (.f64 v (*.f64 v 12))) -4))
(.f64 (+.f64 (.f64 v (*.f64 v 6)) -2) -1)
(.f64 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 4))
(.f64 (.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 12))) -4) 4) 1/8)
(/.f64 (-.f64 2 (.f64 v (.f64 v 6))) 1)
(/.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 12))) -4) 2)
(/.f64 (+.f64 (.f64 v (.f64 v 6)) -2) -1)
(/.f64 (.f64 (-.f64 2 (.f64 v (*.f64 v 6))) 4) 4)
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 12))) -4) 4) 8)
(pow.f64 (-.f64 2 (.f64 v (.f64 v 6))) 1)
(neg.f64 (+.f64 (.f64 v (.f64 v 6)) -2))
(+.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 0)
(+.f64 0 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))))
(+.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 2) (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (*.f64 v v)) 3)) 2) 2))
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(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 2) (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) -2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 2) (/.f64 (.f64 -2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (*.f64 v v)))) 4))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (.f64 v v)) 3)) 2) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (*.f64 v v))) -2) 2))
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(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 (.f64 v (+.f64 v v)) 2)) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (*.f64 v v)) 4)) 4)
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (-.f64 (*.f64 v (+.f64 v v)) 2) 4)) 8)
(/.f64 (.f64 (.f64 (+.f64 -1 (.f64 v v)) 4) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)) 16)
(pow.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 1)

Outputs
2
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(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
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(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 -6 (pow.f64 v 2)))
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(*.f64 -1 (sqrt.f64 2))
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(-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 2)) (/.f64 (+.f64 (+.f64 (.f64 v (.f64 v 6)) -1) -2) 2))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (-.f64 1 (/.f64 (.f64 v (.f64 v 6)) 2)) (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2)))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (-.f64 1 (/.f64 (.f64 v (.f64 v 6)) 2)) (/.f64 (.f64 -2 (-.f64 2 (.f64 v (*.f64 v 6)))) 4))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (/.f64 (-.f64 3 (.f64 v (.f64 v 6))) 2) (+.f64 (/.f64 (.f64 v (.f64 v 6)) 2) -1/2))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (/.f64 (.f64 v (.f64 v 6)) -2) (-.f64 (/.f64 (.f64 v (.f64 v 6)) 2) 2))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (/.f64 (-.f64 2 (.f64 v (.f64 v 6))) 4) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 v (.f64 v 18)) 2) -1) 2) 2))
(-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 4)) (-.f64 (+.f64 (/.f64 (/.f64 (.f64 v (.f64 v 18)) 2) 2) -1/2) 1))
(-.f64 1 (-.f64 (+.f64 -1/2 (/.f64 (.f64 v (.f64 v 18)) 4)) (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 4))))
(-.f64 1 (-.f64 (/.f64 (.f64 v (.f64 v 18)) 4) (-.f64 1 (/.f64 (.f64 v (.f64 v 12)) 8))))
(-.f64 (+.f64 1/2 (-.f64 1 (.f64 v (.f64 v 6)))) -1/2)
(-.f64 (+.f64 1/2 (+.f64 1 (.f64 (.f64 v v) -6))) -1/2)
(-.f64 (+.f64 1/2 (+.f64 1 (.f64 -6 (.f64 v v)))) -1/2)
(-.f64 (-.f64 1 (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2))) (/.f64 (.f64 v (.f64 v 6)) 2))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (-.f64 1/2 (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2))) (+.f64 (/.f64 (.f64 v (.f64 v 6)) 2) -1/2))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 2)) (+.f64 -1 (/.f64 (.f64 v (.f64 v 6)) 2))) -1/2)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (/.f64 (+.f64 1 (-.f64 1 (/.f64 (.f64 v (.f64 v 6)) 2))) 2) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 v (.f64 v 18)) 2) -1) -1) 2))
(-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 4)) (-.f64 (+.f64 (/.f64 (/.f64 (.f64 v (.f64 v 18)) 2) 2) -1/2) 1))
(-.f64 1 (-.f64 (+.f64 -1/2 (/.f64 (.f64 v (.f64 v 18)) 4)) (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 4))))
(-.f64 1 (-.f64 (/.f64 (.f64 v (.f64 v 18)) 4) (-.f64 1 (/.f64 (.f64 v (.f64 v 12)) 8))))
(-.f64 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 v (.f64 v 6)) -2) (neg.f64 (.f64 v (.f64 v 6)))) -2) 2) (/.f64 (-.f64 (/.f64 (.f64 v (.f64 v 6)) 2) 2) 2))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (/.f64 (+.f64 (-.f64 2 (.f64 v (.f64 v 6))) 2) 2) (/.f64 (.f64 v (.f64 v 6)) 2))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 3) 2) 2) (/.f64 (+.f64 -1 (/.f64 (.f64 v (*.f64 v 6)) 2)) 2))
(-.f64 (/.f64 (.f64 3 (-.f64 2 (.f64 v (.f64 v 6)))) 4) (+.f64 -1/2 (/.f64 (/.f64 (.f64 v (*.f64 v 6)) 2) 2)))
(/.f64 (+.f64 (-.f64 (.f64 3 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 v (*.f64 v 6))) 2) 4)
(/.f64 (-.f64 (.f64 3 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 (.f64 v (*.f64 v 6)) -2)) 4)
(/.f64 (-.f64 (.f64 3 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 (.f64 v (*.f64 v 6)) -2)) 4)
(-.f64 (/.f64 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 3) 4) (/.f64 (+.f64 (.f64 v (*.f64 v 6)) -2) 4))
(-.f64 (/.f64 (.f64 3 (-.f64 2 (.f64 v (.f64 v 6)))) 4) (+.f64 -1/2 (/.f64 (/.f64 (.f64 v (*.f64 v 6)) 2) 2)))
(/.f64 (+.f64 (-.f64 (.f64 3 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 v (*.f64 v 6))) 2) 4)
(/.f64 (-.f64 (.f64 3 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 (.f64 v (*.f64 v 6)) -2)) 4)
(/.f64 (-.f64 (.f64 3 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 (.f64 v (*.f64 v 6)) -2)) 4)
(-.f64 (/.f64 (+.f64 2 (-.f64 1 (/.f64 (.f64 v (.f64 v 6)) 2))) 2) (/.f64 (+.f64 (/.f64 (.f64 v (.f64 v 18)) 2) -1) 2))
(-.f64 (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 4)) (-.f64 (+.f64 (/.f64 (/.f64 (.f64 v (.f64 v 18)) 2) 2) -1/2) 1))
(-.f64 1 (-.f64 (+.f64 -1/2 (/.f64 (.f64 v (.f64 v 18)) 4)) (-.f64 1/2 (/.f64 (.f64 v (.f64 v 6)) 4))))
(-.f64 1 (-.f64 (/.f64 (.f64 v (.f64 v 18)) 4) (-.f64 1 (/.f64 (.f64 v (.f64 v 12)) 8))))
(-.f64 (/.f64 (+.f64 (-.f64 2 (.f64 v (.f64 v 6))) (-.f64 2 (.f64 v (.f64 v 12)))) 4) (/.f64 (+.f64 -4 (.f64 v (.f64 v 6))) 4))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(.f64 1 (-.f64 2 (.f64 v (*.f64 v 6))))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(.f64 (-.f64 2 (.f64 v (*.f64 v 6))) 1)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 12))) -4) 1/2)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(.f64 1/2 (-.f64 (neg.f64 (.f64 v (*.f64 v 12))) -4))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(.f64 (+.f64 (.f64 v (*.f64 v 6)) -2) -1)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(.f64 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 4) 1/4)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(.f64 1/4 (.f64 (-.f64 2 (.f64 v (.f64 v 6))) 4))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(.f64 (.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 12))) -4) 4) 1/8)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(/.f64 (-.f64 2 (.f64 v (.f64 v 6))) 1)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(/.f64 (-.f64 (neg.f64 (.f64 v (.f64 v 12))) -4) 2)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(/.f64 (+.f64 (.f64 v (.f64 v 6)) -2) -1)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(/.f64 (.f64 (-.f64 2 (.f64 v (*.f64 v 6))) 4) 4)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 v (*.f64 v 12))) -4) 4) 8)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(pow.f64 (-.f64 2 (.f64 v (.f64 v 6))) 1)
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(neg.f64 (+.f64 (.f64 v (.f64 v 6)) -2))
(-.f64 2 (.f64 v (.f64 v 6)))
(+.f64 2 (.f64 (.f64 v v) -6))
(+.f64 2 (.f64 -6 (.f64 v v)))
(+.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 0)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(+.f64 0 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(+.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 2) (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 2))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(+.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (*.f64 v v)) 3)) 2) 2))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(+.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 4) (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (*.f64 v v)) 3)) 4))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(-.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 0)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 2) (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) -2))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 2) (/.f64 (.f64 -2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (*.f64 v v)))) 4))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (.f64 v v)) 3)) 2) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (*.f64 v v))) -2) 2))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (.f64 v v)) 3)) 4) (/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (*.f64 v v)))) 4))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 1)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 (.f64 v (+.f64 v v)) 2)) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (-.f64 (.f64 v (+.f64 v v)) 2)) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 (.f64 v (+.f64 v v)) 2)) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (+.f64 -1 (*.f64 v v)) 4)) 4)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (-.f64 (*.f64 v (+.f64 v v)) 2) 4)) 8)
(/.f64 (.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 (*.f64 v (+.f64 v v)) 2))) 8)
(/.f64 (.f64 (-.f64 (.f64 v (+.f64 v v)) 2) (.f64 4 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 8)
(/.f64 (.f64 8 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (-.f64 (*.f64 v (+.f64 v v)) 2))) 16)
(/.f64 (.f64 8 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 (*.f64 v (+.f64 v v)) 2))) 16)
(/.f64 (.f64 (.f64 (+.f64 -1 (.f64 v v)) 4) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)) 16)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(pow.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) 1)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (+.f64 -1 (.f64 v v)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
✓	0.0b	(-.f64 2 (.f64 6 (.f64 v v)))
✓	0.0b	(.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
✓	0.2b	(.f64 6 (.f64 v v))

Compiler

Compiled 64 to 37 computations (42.2% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	-inf	(.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
0.0ms	v	@	inf	(.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
0.0ms	v	@	0	(.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
0.0ms	v	@	0	(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
0.0ms	v	@	-inf	(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`rational_best-simplify-63`
640×	`rational_best-simplify-83`
596×	`rational_best-simplify-47`
548×	`rational_best-4`
548×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	88	96
2	162	96
3	409	96
4	1445	96

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

Inputs
(.f64 6 (.f64 v v))
(.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v)))
(-.f64 2 (.f64 6 (.f64 v v)))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))

Outputs
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simplify398.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

1090×	`rational_best-simplify-50`
816×	`rational_best-simplify-1`
648×	`rational_best-simplify-63`
636×	`rational_best-simplify-3`
612×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	6168
1	1021	5780
2	2693	5612

Stop Event

1×	node limit

Counts

178 → 264

Calls

Call 1

Inputs
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
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(/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4))) 16)
(pow.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1)

Outputs
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 -1 (sqrt.f64 2))
(neg.f64 (sqrt.f64 2))
(+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (*.f64 3 (/.f64 1 (sqrt.f64 2))))))
(+.f64 (neg.f64 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))))
(+.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (/.f64 3 (sqrt.f64 2)))))
(+.f64 (.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (.f64 3 (/.f64 1 (sqrt.f64 2)))))))
(+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 1 (/.f64 9/2 (sqrt.f64 8))) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2)))))))
(+.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (sqrt.f64 8))) (*.f64 3 (/.f64 1 (sqrt.f64 2)))))))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (/.f64 3 (sqrt.f64 2)))) (+.f64 (neg.f64 (sqrt.f64 2)) (.f64 (pow.f64 v 4) (-.f64 (/.f64 9/2 (sqrt.f64 8)) (/.f64 3 (sqrt.f64 2))))))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (.f64 27/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 5))) (.f64 9/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))))) (+.f64 (.f64 -1 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 3 (/.f64 1 (sqrt.f64 2))))))))
(+.f64 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (-.f64 (.f64 1 (/.f64 9/2 (sqrt.f64 8))) (.f64 3 (/.f64 1 (sqrt.f64 2)))))) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 (pow.f64 v 6) (-.f64 (.f64 1 (/.f64 27/2 (sqrt.f64 32))) (*.f64 1 (/.f64 9/2 (sqrt.f64 8)))))))
(+.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3 (/.f64 1 (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (sqrt.f64 8))) (.f64 3 (/.f64 1 (sqrt.f64 2)))))) (.f64 (pow.f64 v 6) (-.f64 (.f64 27/2 (/.f64 1 (sqrt.f64 32))) (.f64 9/2 (/.f64 1 (sqrt.f64 8)))))))
(+.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (/.f64 3 (sqrt.f64 2)))) (.f64 (pow.f64 v 4) (-.f64 (/.f64 9/2 (sqrt.f64 8)) (/.f64 3 (sqrt.f64 2))))) (*.f64 (pow.f64 v 6) (-.f64 (/.f64 27/2 (sqrt.f64 32)) (/.f64 9/2 (sqrt.f64 8))))))
(*.f64 (sqrt.f64 -6) (pow.f64 v 3))
(+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 -1 (sqrt.f64 -6)))))
(+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 -1 (sqrt.f64 -6))))))
(+.f64 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6)))) (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 1 (/.f64 1/2 (sqrt.f64 -216)))) (/.f64 -1 v))))
(+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (+.f64 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6)))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 1 (/.f64 1/2 (sqrt.f64 -216)))) v))))
(+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (+.f64 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6)))) (neg.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -216)) (/.f64 -1 (sqrt.f64 -6))) v))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 3)))) (+.f64 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))))
(+.f64 (+.f64 (.f64 1 (/.f64 1/2 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (+.f64 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6)))) (.f64 1 (/.f64 1/2 (.f64 (pow.f64 v 3) (sqrt.f64 -7776)))))) (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 1 (/.f64 1/2 (sqrt.f64 -216)))) (/.f64 -1 v))))
(+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (+.f64 (+.f64 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 1 (/.f64 1/2 (.f64 (pow.f64 v 3) (sqrt.f64 -7776)))))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (*.f64 1 (/.f64 1/2 (sqrt.f64 -216)))) v))))
(+.f64 (+.f64 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6)))) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -216)) (/.f64 1/2 (sqrt.f64 -7776))) (pow.f64 v 3))) (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (neg.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -216)) (/.f64 -1 (sqrt.f64 -6))) v))))
(.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))
(.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1))
(*.f64 (sqrt.f64 -6) (neg.f64 (pow.f64 v 3)))
(+.f64 (.f64 -1 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))))) (.f64 -1 (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1)) (.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))) (*.f64 v -1)))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (*.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6))))))
(neg.f64 (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6))))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (+.f64 (.f64 -1 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) v))) (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -6))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1)) (.f64 1 (/.f64 1/2 (.f64 v (sqrt.f64 -216))))) (+.f64 (.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))) (.f64 v -1)) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(+.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 -216)) (/.f64 1/2 v)) (.f64 -1 (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6))))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(+.f64 (+.f64 (neg.f64 (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6)))))) (/.f64 1/2 (*.f64 v (sqrt.f64 -216)))) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(+.f64 (.f64 -1 (.f64 v (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) v))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 5))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)))))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 1 (/.f64 1/2 (sqrt.f64 -216))) (.f64 1/2 (/.f64 1 (sqrt.f64 -7776)))) (/.f64 -1 (pow.f64 v 3))) (+.f64 (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) -1)) (.f64 1 (/.f64 1/2 (.f64 v (sqrt.f64 -216)))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (.f64 -1 (sqrt.f64 -6))) (*.f64 v -1))))
(+.f64 (.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6))) (neg.f64 v)) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -216)) (/.f64 1/2 v)) (.f64 -1 (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (/.f64 (.f64 1/2 (+.f64 (/.f64 1 (sqrt.f64 -216)) (/.f64 1 (sqrt.f64 -7776)))) (pow.f64 v 3)))))))
(+.f64 (/.f64 (-.f64 (/.f64 1/2 (sqrt.f64 -216)) (/.f64 -1 (sqrt.f64 -6))) v) (+.f64 (.f64 v (neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -6)) (neg.f64 (sqrt.f64 -6))))) (-.f64 0 (+.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -216)) (/.f64 1/2 (sqrt.f64 -7776))) (pow.f64 v 3))))))
2
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 (pow.f64 v 2) -6))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 (pow.f64 v 2) -6))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 (pow.f64 v 2) -6))
(*.f64 -6 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) -6)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 (pow.f64 v 2) -6))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 (pow.f64 v 2) -6))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 (pow.f64 v 2) -6))
(*.f64 -6 (pow.f64 v 2))
(*.f64 (pow.f64 v 2) -6)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 (pow.f64 v 2) -6))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 (pow.f64 v 2) -6))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 2 (*.f64 (pow.f64 v 2) -6))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (/.f64 -3 (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) (/.f64 -3 (sqrt.f64 2))) (.f64 (pow.f64 v 4) (/.f64 -9/2 (sqrt.f64 8)))))
(+.f64 (.f64 (pow.f64 v 2) (/.f64 -3 (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (/.f64 -9/2 (sqrt.f64 8)))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(+.f64 (+.f64 (.f64 (pow.f64 v 2) (/.f64 -3 (sqrt.f64 2))) (.f64 (pow.f64 v 4) (/.f64 -9/2 (sqrt.f64 8)))) (+.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (/.f64 -27/2 (sqrt.f64 32)))))
(*.f64 (sqrt.f64 -6) v)
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(+.f64 (*.f64 v (sqrt.f64 -6)) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 1 (/.f64 1/2 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))))
(-.f64 (.f64 v (sqrt.f64 -6)) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (sqrt.f64 -216))) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 -7776)) (pow.f64 v 5))))) (.f64 1 (/.f64 1/2 (*.f64 (pow.f64 v 3) (sqrt.f64 -216)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1 (/.f64 1/2 (.f64 (sqrt.f64 -7776) (pow.f64 v 5)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (+.f64 (/.f64 (/.f64 1 v) (sqrt.f64 -6)) (/.f64 1/2 (.f64 (sqrt.f64 -7776) (pow.f64 v 5))))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (sqrt.f64 -216))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (neg.f64 (.f64 v (sqrt.f64 -6))) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -6))) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/2 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 -1 (.f64 v (sqrt.f64 -6)))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (neg.f64 (.f64 v (sqrt.f64 -6)))) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (sqrt.f64 -216))) (neg.f64 (.f64 v (sqrt.f64 -6)))) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/2 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 -1 (.f64 v (sqrt.f64 -6)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 (/.f64 1 (sqrt.f64 -7776)) (pow.f64 v 5)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (neg.f64 (.f64 v (sqrt.f64 -6)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1 (/.f64 1/2 (.f64 (sqrt.f64 -7776) (pow.f64 v 5))))))
(-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (sqrt.f64 -216))) (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -7776) (pow.f64 v 5))) (+.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (neg.f64 (.f64 v (sqrt.f64 -6))))))
(+.f64 (.f64 6 (.f64 v v)) 0)
(.f64 v (.f64 6 v))
(.f64 6 (.f64 v v))
(+.f64 0 (.f64 6 (.f64 v v)))
(.f64 v (.f64 6 v))
(.f64 6 (.f64 v v))
(+.f64 (.f64 v (/.f64 (.f64 6 v) 2)) (.f64 v (/.f64 (.f64 6 v) 2)))
(.f64 (/.f64 (.f64 6 v) 2) (+.f64 v v))
(.f64 (/.f64 v 2) (.f64 v 12))
(.f64 v (/.f64 (.f64 v 12) 2))
(+.f64 (/.f64 (.f64 v (.f64 v 12)) 8) (+.f64 (/.f64 (.f64 v (.f64 v 12)) 8) (.f64 v (/.f64 (.f64 6 v) 2))))
(+.f64 (.f64 v (/.f64 (.f64 6 v) 2)) (+.f64 (/.f64 (.f64 v (.f64 v 12)) 8) (/.f64 (.f64 v (.f64 v 12)) 8)))
(+.f64 (.f64 v (/.f64 (.f64 6 v) 2)) (/.f64 (.f64 v (.f64 v 24)) 8))
(+.f64 (.f64 (.f64 6 v) (/.f64 v 2)) (/.f64 (.f64 v (.f64 6 v)) 2))
(+.f64 (/.f64 (.f64 v (.f64 v 12)) 8) (/.f64 (/.f64 (.f64 (.f64 v v) 18) 2) 2))
(.f64 v (.f64 6 v))
(.f64 6 (.f64 v v))
(+.f64 (/.f64 (.f64 v (.f64 v 12)) 8) (/.f64 (.f64 (.f64 v v) 18) 4))
(.f64 v (.f64 6 v))
(.f64 6 (.f64 v v))
(-.f64 (.f64 6 (.f64 v v)) 0)
(.f64 v (.f64 6 v))
(.f64 6 (.f64 v v))
(-.f64 0 (neg.f64 (.f64 6 (.f64 v v))))
(.f64 v (.f64 6 v))
(.f64 6 (.f64 v v))
(-.f64 (.f64 v (/.f64 (.f64 6 v) 2)) (/.f64 (.f64 v (.f64 v 12)) -4))
(-.f64 (.f64 (.f64 6 v) (/.f64 v 2)) (/.f64 (.f64 v (.f64 6 v)) -2))
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(/.f64 (+.f64 (-.f64 4 (.f64 v (.f64 6 v))) (-.f64 4 (+.f64 (.f64 v (.f64 6 v)) (.f64 v (.f64 v 12))))) 4)
(/.f64 (+.f64 (-.f64 4 (.f64 6 (.f64 v v))) (-.f64 4 (.f64 v (.f64 v 18)))) 4)
(/.f64 (+.f64 (-.f64 4 (.f64 v (.f64 6 v))) (-.f64 4 (.f64 v (.f64 v 18)))) 4)
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(-.f64 1 (+.f64 (+.f64 -1 (.f64 (.f64 6 v) (/.f64 v 2))) (.f64 (.f64 6 v) (/.f64 v 2))))
(.f64 2 (+.f64 1 (/.f64 (.f64 v (*.f64 v 12)) -4)))
(.f64 2 (+.f64 1 (/.f64 (.f64 v (*.f64 6 v)) -2)))
(.f64 (-.f64 2 (.f64 6 (*.f64 v v))) 1)
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(-.f64 2 (.f64 6 (.f64 v v)))
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(.f64 -1 (+.f64 (.f64 6 (*.f64 v v)) -2))
(+.f64 2 (neg.f64 (.f64 v (.f64 6 v))))
(-.f64 2 (.f64 6 (.f64 v v)))
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(.f64 1 (-.f64 2 (.f64 6 (*.f64 v v))))
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(-.f64 2 (.f64 6 (.f64 v v)))
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(.f64 (+.f64 (.f64 6 (*.f64 v v)) -2) -1)
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(-.f64 2 (.f64 6 (.f64 v v)))
(+.f64 2 (.f64 v (.f64 v -6)))
(.f64 (+.f64 4 (neg.f64 (.f64 v (*.f64 v 12)))) 1/2)
(+.f64 2 (neg.f64 (.f64 v (.f64 6 v))))
(-.f64 2 (.f64 6 (.f64 v v)))
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(.f64 1/2 (+.f64 4 (neg.f64 (.f64 v (*.f64 v 12)))))
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(-.f64 2 (.f64 6 (.f64 v v)))
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(.f64 1/4 (.f64 (-.f64 2 (.f64 6 (.f64 v v))) 4))
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(-.f64 2 (.f64 6 (.f64 v v)))
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(/.f64 (-.f64 2 (.f64 6 (.f64 v v))) 1)
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(/.f64 (+.f64 (.f64 6 (.f64 v v)) -2) -1)
(+.f64 2 (neg.f64 (.f64 v (.f64 6 v))))
(-.f64 2 (.f64 6 (.f64 v v)))
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(/.f64 (+.f64 4 (neg.f64 (.f64 v (.f64 v 12)))) 2)
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(/.f64 (.f64 (-.f64 2 (.f64 6 (*.f64 v v))) 4) 4)
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(-.f64 2 (.f64 6 (.f64 v v)))
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(/.f64 (.f64 (+.f64 4 (neg.f64 (.f64 v (*.f64 v 12)))) 4) 8)
(+.f64 2 (neg.f64 (.f64 v (.f64 6 v))))
(-.f64 2 (.f64 6 (.f64 v v)))
(+.f64 2 (.f64 v (.f64 v -6)))
(/.f64 (.f64 2 (+.f64 (.f64 6 (*.f64 v v)) -2)) -2)
(/.f64 (.f64 2 (+.f64 (.f64 v (*.f64 6 v)) -2)) -2)
(/.f64 (.f64 4 (+.f64 (.f64 v (*.f64 6 v)) -2)) -4)
(/.f64 (+.f64 (.f64 (+.f64 4 (neg.f64 (.f64 v (.f64 v 12)))) 4) (.f64 (+.f64 4 (neg.f64 (.f64 v (.f64 v 12)))) 4)) 16)
(+.f64 2 (neg.f64 (.f64 v (.f64 6 v))))
(-.f64 2 (.f64 6 (.f64 v v)))
(+.f64 2 (.f64 v (.f64 v -6)))
(pow.f64 (-.f64 2 (.f64 6 (.f64 v v))) 1)
(+.f64 2 (neg.f64 (.f64 v (.f64 6 v))))
(-.f64 2 (.f64 6 (.f64 v v)))
(+.f64 2 (.f64 v (.f64 v -6)))
(neg.f64 (+.f64 (.f64 6 (.f64 v v)) -2))
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(-.f64 2 (.f64 6 (.f64 v v)))
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(+.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 0)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(+.f64 0 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(+.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1/2) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1/2))
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(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4) (+.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) 1/2)))
(+.f64 (.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))) (+.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) 4) (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 6 v)))) 4)))
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(+.f64 (.f64 1/2 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))) 2))
(+.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) 3) 2) 2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4) (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) 3) 4))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(-.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 0)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(-.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1/2) (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) -2))
(-.f64 (.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))) (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 6 v)))) -2))
(-.f64 (.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))) (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) -2))
(-.f64 (.f64 1/2 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))) -2))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1/2)) (-.f64 0 (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) 4)))
(-.f64 (.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))) (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 6 v)))) -2))
(-.f64 (.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))) (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) -2))
(-.f64 (.f64 1/2 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))) -2))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) -2) 2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))) 4))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1/2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) 1)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 1 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))) 1/2)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 1/2 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1/2) 2)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4) 1/4)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) 4)) 1/8)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (sqrt.f64 (+.f64 4 (neg.f64 (.f64 v (*.f64 v 12))))) (sqrt.f64 1/2))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 4 (neg.f64 (.f64 v (*.f64 v 12))))))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (sqrt.f64 (+.f64 (.f64 6 (*.f64 v v)) -2)) (sqrt.f64 -1))
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (sqrt.f64 (.f64 (-.f64 2 (.f64 6 (.f64 v v))) 4)) 1/2)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(/.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(/.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))) 2)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v)))) 4) 4)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4)) 8)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 4))) 16)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(pow.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) 1)
(sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))
(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))

eval354.0ms (5.9%)

Compiler: Compiled 13255 to 10150 computations (23.4% saved)

prune212.0ms (3.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	497	0	497
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	497	4	501

Error

Counts

501 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v))) -4)
✓	0.0b	(/.f64 (.f64 (sqrt.f64 (+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)) (+.f64 -1 (.f64 v v))) -4)
✓	1.3b	(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))
✓	1.3b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 52 to 41 computations (21.2% saved)

regimes62.0ms (1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v))) -4)
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 -1 (.f64 v v))) -4)
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))) 4))
(/.f64 (.f64 (sqrt.f64 (+.f64 (-.f64 1 (.f64 v (.f64 v 6))) 1)) (+.f64 -1 (.f64 v v))) -4)
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (.f64 2 (+.f64 (.f64 3 (.f64 v v)) (-.f64 1 (.f64 v (*.f64 v 6)))))) 4))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Outputs
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v))) -4)

Calls

3 calls:

55.0ms	v
2.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.0b	1	`v`
0.0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 152 to 106 computations (30.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-1.6%)

Threshold costs -0.0b (-1.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))

Outputs
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))

Calls

2 calls:

3.0ms	v
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
1.3b	1	`v`
1.3b	1	`(*.f64 v v)`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	87

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v))) -4)
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))
(*.f64 1/4 (sqrt.f64 2))

Outputs
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (+.f64 -1 (.f64 v v))) -4)
(.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 2) 4))
(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 33 to 26 computations (21.2% saved)

soundness372.0ms (6.2%)

Algorithm

3×	egg-herbie

Rules

1412×	`rational_best-simplify-63`
1230×	`rational_best-simplify-47`
1118×	`rational_best-simplify-75`
1070×	`rational_best-simplify-65`
1064×	`rational_best-simplify-55`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	27	57
2	45	57
3	73	57
4	142	57
5	287	53
6	554	53
7	1154	53
8	2186	53
9	4727	53
0	465	8665
1	1278	7625
2	3504	7255
0	330	5691
1	871	5335
2	2219	4983
3	7606	4959

Stop Event

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

Compiler

Compiled 559 to 405 computations (27.5% saved)

end24.0ms (0.4%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

Details

analyze6.0ms (0.1%)

sample1.6s (26.8%)

preprocess93.0ms (1.5%)

simplify93.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.4%)

series5.0ms (0.1%)

rewrite96.0ms (1.6%)

simplify372.0ms (6.2%)

eval162.0ms (2.7%)

prune46.0ms (0.8%)

localize4.0ms (0.1%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite71.0ms (1.2%)

simplify173.0ms (2.9%)

localize40.0ms (0.7%)

series1.0ms (0%)

rewrite147.0ms (2.4%)

simplify105.0ms (1.7%)

localize24.0ms (0.4%)

series3.0ms (0%)

rewrite77.0ms (1.3%)

simplify167.0ms (2.8%)

eval562.0ms (9.3%)

prune330.0ms (5.5%)

localize61.0ms (1%)

series1.0ms (0%)

rewrite72.0ms (1.2%)

simplify134.0ms (2.2%)

localize21.0ms (0.3%)

series1.0ms (0%)

rewrite86.0ms (1.4%)

simplify398.0ms (6.6%)

eval354.0ms (5.9%)

prune212.0ms (3.5%)

regimes62.0ms (1%)

regimes6.0ms (0.1%)

simplify2.0ms (0%)

soundness372.0ms (6.2%)

end24.0ms (0.4%)

Profiling