Details

analyze5.0ms (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)

sample1.7s (46.5%)

Results

1.7s	8256×	body	256	valid
1.0ms	8×	body	256	invalid

Bogosity

preprocess82.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

1822×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1062×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
718×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	27	57
2	41	57
3	71	57
4	234	57
5	2057	57
6	6109	57
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))))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify83.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1822×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1062×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
718×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	27	57
2	41	57
3	71	57
4	234	57
5	2057	57
6	6109	57

Stop Event

1×	node limit

Counts

1 → 2

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))))

eval1.0ms (0%)

Compiler: Compiled 39 to 28 computations (28.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 20 to 15 computations (25% saved)

localize25.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 72 to 48 computations (33.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite105.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`rational.json-simplify-35`
952×	`bool.json-1`
952×	`bool.json-2`
920×	`rational.json-1`
920×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	132
1	174	132
2	456	132
3	977	132
4	2647	132
5	7490	132

Stop Event

1×	node limit

Counts

4 → 42

Calls

Call 1

Inputs
(.f64 3 (.f64 v v))
(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(sqrt.f64 (-.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 3 (.f64 v v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 v 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 3 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))))) (#(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 (.f64 2 (.f64 (.f64 v v) 12)) (.f64 2 (.f64 (.f64 v v) 12))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 3 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 3 (.f64 v v)) (.f64 3 (.f64 v v)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 2 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 1/4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))))))

simplify95.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1830×	`rational.json-simplify-35`
1248×	`rational.json-simplify-40`
1102×	`rational.json-simplify-38`
1092×	`rational.json-simplify-51`
768×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	4390
1	569	4238
2	1219	4176
3	3520	4070

Stop Event

1×	node limit

Counts

90 → 188

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))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 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 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))))
(+.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 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 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 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.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 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 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)))))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(+.f64 (.f64 v v) (.f64 v (+.f64 v v)))
(+.f64 (.f64 3 (.f64 v v)) 0)
(+.f64 0 (.f64 3 (.f64 v v)))
(+.f64 (.f64 v (+.f64 v v)) (.f64 v v))
(-.f64 (.f64 3 (.f64 v v)) 0)
(/.f64 (.f64 3 (.f64 v v)) 1)
(/.f64 (.f64 (.f64 v v) 6) 2)
(/.f64 (.f64 (.f64 v v) 12) 4)
(/.f64 (*.f64 3 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))
(/.f64 (.f64 2 (.f64 (*.f64 v v) 12)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 v v) 12)) (.f64 2 (.f64 (.f64 v v) 12))) 16)
(fabs.f64 (.f64 3 (.f64 v v)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 0)
(+.f64 0 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 0)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1)
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) 1/2)) 2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 8)
(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 2 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 16)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) 0)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) 1)
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) 1/2))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))) 16)
(+.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)
(+.f64 0 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(-.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)
(.f64 2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2))
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 1)
(.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2) 2)
(/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 2)
(/.f64 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)
(/.f64 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 16)

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))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (pow.f64 v 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8)))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -3/8 (.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -9/32 (pow.f64 v 4)) (+.f64 1/4 (*.f64 (pow.f64 v 2) -3/8))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (+.f64 (.f64 -9/32 (pow.f64 v 4)) (*.f64 (pow.f64 v 2) -3/8))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (+.f64 (.f64 -3/8 (.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) -27/64))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) -9/32))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -9/32 (pow.f64 v 4))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 2) -3/8))) (.f64 (sqrt.f64 2) (.f64 -27/64 (pow.f64 v 6)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -27/64 (pow.f64 v 6)) (.f64 (pow.f64 v 2) -3/8))) (.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 -9/32 (pow.f64 v 4)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -9/32 (pow.f64 v 4)) (+.f64 (.f64 (pow.f64 v 2) -3/8) (+.f64 1/4 (.f64 -27/64 (pow.f64 v 6))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 1/4 (.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3))) (+.f64 (.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 -1/32 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (+.f64 (.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3))) (+.f64 (.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5))))
(+.f64 (.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v (sqrt.f64 -3)) -1/4))
(.f64 v (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/4))
(.f64 v (.f64 -1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 v (sqrt.f64 -3)) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 v (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/4)) (.f64 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3)) -1/8))
(+.f64 (.f64 v (.f64 -1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 v (sqrt.f64 -3)) -1/4)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/8)))
(+.f64 (.f64 v (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/4)) (+.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3)) -1/8) (*.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) 1/32)))
(+.f64 (.f64 v (.f64 -1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 v (sqrt.f64 -3)) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32)) (.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) -1/64)))
(+.f64 (.f64 v (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/4)) (+.f64 (+.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) 1/32) (.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) -1/64)) (.f64 (/.f64 (/.f64 (sqrt.f64 2) v) (sqrt.f64 -3)) -1/8)))
(+.f64 (.f64 v (.f64 -1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32) (.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) -1/64))))
(*.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 (pow.f64 v 2) (.f64 (+.f64 (.f64 (sqrt.f64 2) -1) (*.f64 (sqrt.f64 2) -3/2)) 1/4)))
(.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/8)))
(.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -5/2 (pow.f64 v 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 (pow.f64 v 2) (.f64 (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)) 1/4)) (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (*.f64 (sqrt.f64 2) 3/2))))))
(+.f64 (.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2))) (.f64 (.f64 (sqrt.f64 2) 3/8) (.f64 1/4 (pow.f64 v 4))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/32))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/2)) (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 3/8 (pow.f64 v 4))))))
(+.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 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 (sqrt.f64 2) -9/8) (.f64 (sqrt.f64 2) 3/2)))) (+.f64 (.f64 (pow.f64 v 2) (.f64 (+.f64 (.f64 (sqrt.f64 2) -1) (.f64 (sqrt.f64 2) -3/2)) 1/4)) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 (sqrt.f64 2) 9/8) (*.f64 (sqrt.f64 2) -27/16)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.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)) (.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) -5/2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32)) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64)))))
(+.f64 (.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) -5/8)) (+.f64 (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/64)) (.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 3/8 (pow.f64 v 4)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -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 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4)) (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) 1/4)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 -3) (pow.f64 v 3)))) (.f64 v (.f64 1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -1/4))) (.f64 v (.f64 1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -1/4))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 v 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 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) 1/4)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4)) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 -3) (pow.f64 v 3)))) (.f64 v (.f64 1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -1/4))) (.f64 1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) 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 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) 1/4)) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4)) (.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 v (.f64 1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 -3) (pow.f64 v 3)))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -1/4))) (.f64 v (.f64 1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (+.f64 (/.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 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -1/4))) (.f64 1/4 (+.f64 (/.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 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(.f64 1/4 (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))))
(.f64 1/4 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(+.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 (sqrt.f64 -3) (pow.f64 v 3)))) (.f64 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))) (.f64 v (.f64 -1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (.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 (pow.f64 v 3) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 v -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 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4)) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))) (+.f64 (.f64 v (.f64 -1/4 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) 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 v (.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4)) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))) (.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 v (.f64 -1/4 (+.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 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v)) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))) (.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 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (+.f64 (.f64 -1/4 (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.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 -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 (pow.f64 v 3) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1/4 (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (/.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))))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -3/2))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 (.f64 (pow.f64 v 2) -3/2) (+.f64 (.f64 (pow.f64 v 4) -9/8) 1))
(+.f64 (.f64 (pow.f64 v 2) -3/2) (+.f64 1 (.f64 (pow.f64 v 4) -9/8)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 v 2) -3/2) (+.f64 (.f64 (pow.f64 v 4) -9/8) (*.f64 (pow.f64 v 6) -27/16))))
(+.f64 (+.f64 (.f64 (pow.f64 v 2) -3/2) (.f64 (pow.f64 v 4) -9/8)) (-.f64 (*.f64 (pow.f64 v 6) -27/16) -1))
(+.f64 (.f64 (pow.f64 v 2) -3/2) (+.f64 (.f64 (pow.f64 v 6) -27/16) (+.f64 1 (*.f64 (pow.f64 v 4) -9/8))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(+.f64 (.f64 v (sqrt.f64 -3)) (.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -3)) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (-.f64 (.f64 v (sqrt.f64 -3)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 v (sqrt.f64 -3)) (-.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (/.f64 1 (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (+.f64 (.f64 v (sqrt.f64 -3)) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -3)) (.f64 1/16 (/.f64 (/.f64 1 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 v (sqrt.f64 -3)) (+.f64 (.f64 1/16 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 (/.f64 1 (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 v (sqrt.f64 -3)) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (/.f64 1 (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3))))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(.f64 v (.f64 (sqrt.f64 -3) -1))
(*.f64 v (neg.f64 (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (.f64 v (.f64 (sqrt.f64 -3) -1)) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (.f64 v (neg.f64 (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (-.f64 (.f64 v (.f64 (sqrt.f64 -3) -1)) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (-.f64 (.f64 v (neg.f64 (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (/.f64 1 (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3))) (.f64 v (neg.f64 (sqrt.f64 -3)))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/8 (/.f64 (/.f64 1 (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3))) (-.f64 (.f64 v (neg.f64 (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3))))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (-.f64 (.f64 v (.f64 (sqrt.f64 -3) -1)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 v (neg.f64 (sqrt.f64 -3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 (/.f64 1 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (/.f64 1 (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3))) (.f64 v (neg.f64 (sqrt.f64 -3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (/.f64 1 (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3))) (.f64 v (neg.f64 (sqrt.f64 -3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(+.f64 (.f64 v v) (.f64 v (+.f64 v v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(+.f64 (.f64 3 (.f64 v v)) 0)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(+.f64 0 (.f64 3 (.f64 v v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(+.f64 (.f64 v (+.f64 v v)) (.f64 v v))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(-.f64 (.f64 3 (.f64 v v)) 0)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(/.f64 (.f64 3 (.f64 v v)) 1)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(/.f64 (.f64 (.f64 v v) 6) 2)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(/.f64 (.f64 (.f64 v v) 12) 4)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(/.f64 (*.f64 3 (fabs.f64 v)) (/.f64 1 (fabs.f64 v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(/.f64 (.f64 2 (.f64 (*.f64 v v) 12)) 8)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 v v) 12)) (.f64 2 (.f64 (.f64 v v) 12))) 16)
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(fabs.f64 (.f64 3 (.f64 v v)))
(*.f64 v (+.f64 v (+.f64 v v)))
(.f64 v (.f64 3 v))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 0)
(.f64 (.f64 1/4 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))))
(+.f64 0 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (.f64 1/4 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 0)
(.f64 (.f64 1/4 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 1/4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1)
(.f64 (.f64 1/4 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) 1/2)) 2)
(.f64 (.f64 1/4 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 8)
(.f64 (.f64 1/4 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))))
(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)
(.f64 (.f64 1/4 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 2 (.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 16)
(.f64 (.f64 1/4 (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) 0)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 1/4 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 1/4 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) 0)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 1/4 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1/4))) 1)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 1/4 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (sqrt.f64 2) 1/2))) 2)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 1/4 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v)))) 4)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 1/4 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))))) 8)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 1/4 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v))))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))) 16)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 1/4 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (.f64 (.f64 1/4 (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v)))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(+.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(+.f64 0 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(-.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 0)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(.f64 2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2))
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 1)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 1/2)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(.f64 1/2 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 2) 2)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 1)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(/.f64 (.f64 2 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 2)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(/.f64 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 4)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(/.f64 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) 8)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))
(/.f64 (+.f64 (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (.f64 2 (.f64 4 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) 16)
(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
(sqrt.f64 (-.f64 1 (.f64 v (.f64 3 v))))

eval176.0ms (4.9%)

Compiler: Compiled 5886 to 4964 computations (15.7% saved)

prune24.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	3	189

Error

0.0b

Counts

189 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

0.0b

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

▶

0.8b

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

▶

0.3b

(*.f64 1/4 (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))))

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize18.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
✓	0.0b	(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
✓	0.1b	(*.f64 -5/2 (pow.f64 v 2))

Compiler

Compiled 45 to 39 computations (13.3% saved)

series2.0ms (0%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
0.0ms	v	@	0	(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
0.0ms	v	@	inf	(*.f64 -5/2 (pow.f64 v 2))
0.0ms	v	@	0	(*.f64 -5/2 (pow.f64 v 2))
0.0ms	v	@	-inf	(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))

rewrite106.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`rational.json-simplify-35`
1332×	`bool.json-1`
1332×	`bool.json-2`
1280×	`rational.json-1`
1280×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	124	61
2	319	61
3	601	61
4	1198	61
5	2611	61
6	5297	61

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

Inputs
(*.f64 -5/2 (pow.f64 v 2))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -5/2 (pow.f64 v 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -5/2 (pow.f64 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 v 2) -5/4) (.f64 (pow.f64 v 2) -5/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -5/2 (pow.f64 v 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -5/2 (pow.f64 v 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 v 2) -5) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 v 2) -10) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 v 2) -10)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 -5/2 (pow.f64 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 -5/2 (pow.f64 v 2)) (.f64 -5/2 (pow.f64 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 -5/2 (pow.f64 v 2)) (.f64 -5/2 (pow.f64 v 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1/2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (+.f64 2 (.f64 (pow.f64 v 2) -5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)))) (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) (.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -5/2 (pow.f64 v 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (.f64 (pow.f64 v 2) -5)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 2 (.f64 (pow.f64 v 2) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (.f64 (pow.f64 v 2) -5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5/2 (pow.f64 v 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -5/2 (pow.f64 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 v 2) -5/4) (*.f64 (pow.f64 v 2) -5/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -5/2 (pow.f64 v 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 v 2) -5) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 v 2) -10) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 v 2) -10)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 v 2) -10))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 v 2) -10)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 v 2) -10)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 v 2) -10))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 -5/2 (pow.f64 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 -5/2 (pow.f64 v 2)) (*.f64 -5/2 (pow.f64 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 -5/2 (pow.f64 v 2)) (*.f64 -5/2 (pow.f64 v 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1/2)) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 2 (*.f64 (pow.f64 v 2) -5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -5/2 (pow.f64 v 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (pow.f64 v 2) -5)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 (pow.f64 v 2) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (pow.f64 v 2) -5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1))))))

simplify697.0ms (19.4%)

Algorithm

1×	egg-herbie

Rules

3802×	`rational.json-simplify-2`
2102×	`rational.json-simplify-35`
2002×	`rational.json-simplify-53`
1304×	`rational.json-simplify-1`
1172×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1242
1	199	1242
2	473	1242
3	1558	1162
4	3189	1162
5	3797	1162
6	4046	1162
7	4317	1162
8	4511	1162
9	4691	1162
10	6362	1162
11	6532	1162
12	6770	1162
13	6948	1162
14	7009	1162
15	7054	1162
16	7083	1162
17	7087	1162
18	7087	1162
19	7188	1162

Stop Event

1×	node limit

Counts

56 → 50

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
1
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(+.f64 (*.f64 -5/2 (pow.f64 v 2)) 0)
(+.f64 0 (*.f64 -5/2 (pow.f64 v 2)))
(+.f64 (.f64 (pow.f64 v 2) -5/4) (.f64 (pow.f64 v 2) -5/4))
(-.f64 (*.f64 -5/2 (pow.f64 v 2)) 0)
(/.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)
(/.f64 (*.f64 (pow.f64 v 2) -5) 2)
(/.f64 (*.f64 (pow.f64 v 2) -10) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 v 2) -10)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 v 2) -10))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10))))) 64)
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1/2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) 0)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) 1)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 2 (.f64 (pow.f64 v 2) -5))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4)) 4)
(/.f64 (.f64 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)) 8)
(/.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)))) (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2))))) 64)
(-.f64 (*.f64 -5/2 (pow.f64 v 2)) -1)
(-.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 0)
(.f64 2 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1/2))
(.f64 1 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1))
(.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1)
(.f64 (+.f64 2 (.f64 (pow.f64 v 2) -5)) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4))
(.f64 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4) 1/4)
(.f64 1/2 (+.f64 2 (.f64 (pow.f64 v 2) -5)))
(.f64 1/4 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4))
(.f64 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4) 4)
(/.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1)
(/.f64 (+.f64 2 (*.f64 (pow.f64 v 2) -5)) 2)
(/.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8)))) 64)

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2)))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2)))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
1
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(+.f64 (*.f64 -5/2 (pow.f64 v 2)) 0)
(*.f64 -5/2 (pow.f64 v 2))
(+.f64 0 (*.f64 -5/2 (pow.f64 v 2)))
(*.f64 -5/2 (pow.f64 v 2))
(+.f64 (.f64 (pow.f64 v 2) -5/4) (.f64 (pow.f64 v 2) -5/4))
(*.f64 -5/2 (pow.f64 v 2))
(-.f64 (*.f64 -5/2 (pow.f64 v 2)) 0)
(*.f64 -5/2 (pow.f64 v 2))
(/.f64 (*.f64 -5/2 (pow.f64 v 2)) 1)
(*.f64 -5/2 (pow.f64 v 2))
(/.f64 (*.f64 (pow.f64 v 2) -5) 2)
(*.f64 -5/2 (pow.f64 v 2))
(/.f64 (*.f64 (pow.f64 v 2) -10) 4)
(*.f64 -5/2 (pow.f64 v 2))
(/.f64 (.f64 2 (.f64 (pow.f64 v 2) -10)) 8)
(*.f64 -5/2 (pow.f64 v 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 v 2) -10))) 16)
(*.f64 -5/2 (pow.f64 v 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10)))) 32)
(*.f64 -5/2 (pow.f64 v 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 v 2) -10))))) 64)
(*.f64 -5/2 (pow.f64 v 2))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) 0)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(+.f64 0 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1/2)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1/2)))
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(-.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) 0)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1)) 1)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 2 (.f64 (pow.f64 v 2) -5))) 2)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4)) 4)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(/.f64 (.f64 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)) 8)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(/.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2))) 16)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)))) 32)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2)))) (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) (sqrt.f64 2))))) 64)
(+.f64 (sqrt.f64 2) (.f64 -5/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -5/2 (pow.f64 v 2))))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(-.f64 (*.f64 -5/2 (pow.f64 v 2)) -1)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(-.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 0)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 2 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1/2))
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 1 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1))
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 1)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 (+.f64 2 (.f64 (pow.f64 v 2) -5)) 1/2)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 4 (/.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4))
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4) 1/4)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 1/2 (+.f64 2 (.f64 (pow.f64 v 2) -5)))
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 1/4 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 4))
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1/2) 2)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(.f64 (/.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4) 4)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(/.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 1)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(/.f64 (+.f64 2 (*.f64 (pow.f64 v 2) -5)) 2)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(/.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 4) 4)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(/.f64 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8) 8)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -5/2 (pow.f64 v 2)) 1) 8)) 16)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8))) 32)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -5/2 (pow.f64 v 2)) 1) 8)))) 64)
(+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

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 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	inf	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	-inf	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))

rewrite71.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`bool.json-1`
1784×	`bool.json-2`
1750×	`rational.json-1`
1362×	`bool.json-3`
912×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	122	29
2	320	29
3	696	29
4	2019	29
5	6057	29

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 2) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) (*.f64 2 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))))

simplify198.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-2`
1254×	`rational.json-simplify-19`
918×	`rational.json-simplify-59`
824×	`rational.json-simplify-39`
748×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	640
1	73	550
2	156	550
3	314	550
4	853	550
5	3853	550
6	5650	550
7	6657	550
8	7336	550
9	7972	550

Stop Event

1×	node limit

Counts

20 → 17

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 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 0)
(+.f64 0 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))
(-.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 0)
(/.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 2) 1/2)) 2)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 2 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 16)

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

eval21.0ms (0.6%)

Compiler: Compiled 982 to 891 computations (9.3% saved)

prune10.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Error

0.0b

Counts

70 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.8b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
✓	0.3b	(.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))))
▶	0.8b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 49 to 41 computations (16.3% saved)

localize4.0ms (0.1%)

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

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Error

0.0b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.8b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
✓	0.3b	(.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))))
✓	0.8b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 49 to 41 computations (16.3% saved)

regimes40.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))))
(.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)))

Calls

3 calls:

3.0ms	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 72 to 55 computations (23.6% saved)

regimes6.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))))

Outputs
(.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))))

Calls

2 calls:

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

Results

Error	Segments	Branch
0.3b	1	`v`
0.3b	1	`(*.f64 v v)`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-2.4%)

Threshold costs -0.0b (-2.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
0.8b	1	`v`
0.8b	1	`(*.f64 v v)`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	132

Stop Event

1×	done
1×	saturated

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)))
(.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(*.f64 1/4 (sqrt.f64 2))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -5/2 (pow.f64 v 2)))))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 49 to 41 computations (16.3% saved)

soundness0.0ms (0%)

end120.0ms (3.3%)

Compiler: Compiled 46 to 37 computations (19.6% saved)

Details

analyze5.0ms (0.1%)

sample1.7s (46.5%)

preprocess82.0ms (2.3%)

simplify83.0ms (2.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize25.0ms (0.7%)

series5.0ms (0.1%)

rewrite105.0ms (2.9%)

simplify95.0ms (2.6%)

eval176.0ms (4.9%)

prune24.0ms (0.7%)

localize18.0ms (0.5%)

series2.0ms (0%)

rewrite106.0ms (3%)

simplify697.0ms (19.4%)

localize12.0ms (0.3%)

series1.0ms (0%)

rewrite71.0ms (2%)

simplify198.0ms (5.5%)

eval21.0ms (0.6%)

prune10.0ms (0.3%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes40.0ms (1.1%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end120.0ms (3.3%)

Profiling