Details

analyze4.0ms (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 22 to 17 computations (22.7% saved)

sample1.6s (23.5%)

Results

1.6s	8256×	body	256	valid
1.0ms	11×	body	256	invalid

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

56×	`rational_best-simplify-2`
34×	`rational_best-simplify-44`
2×	`rational_best-simplify-22`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	27	61
2	37	61
3	53	61
4	71	61
5	75	61
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

56×	`rational_best-simplify-2`
34×	`rational_best-simplify-44`
2×	`rational_best-simplify-22`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	27	61
2	37	61
3	53	61
4	71	61
5	75	61

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

Outputs
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))

eval1.0ms (0%)

Compiler: Compiled 81 to 58 computations (28.4% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

1.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
▶	1.0b	(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))

Status

Error

Program

▶

1.0b

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

▶

1.0b

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

Compiler

Compiled 42 to 34 computations (19% saved)

localize34.0ms (0.5%)

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 (PI.f64) (-.f64 1 (*.f64 v v))))
✓	0.2b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))

Compiler

Compiled 100 to 65 computations (35% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
1.0ms	v	@	0	(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
1.0ms	v	@	0	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
1.0ms	v	@	inf	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
1.0ms	v	@	0	(.f64 v (.f64 v 6))

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

368×	`rational_best-simplify-2`
234×	`rational_best-simplify-44`
168×	`rational_best-2`
168×	`rational_best-3`
168×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	146
1	137	146
2	207	146
3	281	146
4	343	146
5	388	146
6	506	146
7	769	146
8	957	146
9	976	146
10	988	146
11	1014	146
12	1014	146

Stop Event

1×

saturated

Counts

4 → 29

Calls

Call 1

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

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

simplify492.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1730×	`rational_best-simplify-1`
1406×	`rational_best-simplify-2`
1198×	`rational_best-simplify-43`
996×	`rational_best-simplify-39`
918×	`rational_best-simplify-51`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	263	5373
1	516	5245
2	770	5221
3	1162	5197
4	1755	5189
5	2194	5149
6	2548	5143
7	2859	5139
8	3219	5137
9	3916	5131
10	5398	5131
11	6247	5131
12	6613	5131
13	7060	5131
14	7993	5131

Stop Event

1×	node limit

Counts

77 → 206

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.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 (sqrt.f64 2) (PI.f64))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) (PI.f64))) v) (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v)) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) (PI.f64))) v) (.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) (PI.f64))) v) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))))
(.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) (PI.f64)))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) (PI.f64))))) (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) (PI.f64))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) (PI.f64))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(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 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 0)
(+.f64 0 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))))
(-.f64 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 0)
(.f64 1 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))
(.f64 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) 1)
(pow.f64 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 1)
(+.f64 (.f64 v (.f64 v 6)) 0)
(+.f64 0 (.f64 v (.f64 v 6)))
(-.f64 (.f64 v (.f64 v 6)) 0)
(-.f64 0 (.f64 v (.f64 v -6)))
(/.f64 (.f64 v (.f64 v 6)) 1)
(/.f64 (.f64 v (.f64 v -6)) -1)
(pow.f64 (.f64 v (.f64 v 6)) 1)
(neg.f64 (.f64 v (.f64 v -6)))
(+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 0)
(+.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(-.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 0)
(-.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (+.f64 (*.f64 v v) -1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (+.f64 (*.f64 v v) -1))) -1)
(pow.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)
(neg.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (+.f64 (*.f64 v v) -1))))
(+.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
(-.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 0)
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))) 1)
(.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
(/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 1)

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))))
(+.f64 (.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 (pow.f64 v 6) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
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(-.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 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 v (neg.f64 (sqrt.f64 -6)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 (sqrt.f64 -6) (neg.f64 v))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 0)
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(+.f64 0 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(-.f64 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 0)
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(.f64 1 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) 1)
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(pow.f64 (/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 1)
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(+.f64 (.f64 v (.f64 v 6)) 0)
(.f64 v (.f64 v 6))
(+.f64 0 (.f64 v (.f64 v 6)))
(.f64 v (.f64 v 6))
(-.f64 (.f64 v (.f64 v 6)) 0)
(.f64 v (.f64 v 6))
(-.f64 0 (.f64 v (.f64 v -6)))
(.f64 v (.f64 v 6))
(/.f64 (.f64 v (.f64 v 6)) 1)
(.f64 v (.f64 v 6))
(/.f64 (.f64 v (.f64 v -6)) -1)
(.f64 v (.f64 v 6))
(pow.f64 (.f64 v (.f64 v 6)) 1)
(.f64 v (.f64 v 6))
(neg.f64 (.f64 v (.f64 v -6)))
(.f64 v (.f64 v 6))
(+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (*.f64 v v))))
(+.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (*.f64 v v))))
(-.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 0)
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (*.f64 v v))))
(-.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (+.f64 (*.f64 v v) -1))))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (+.f64 (*.f64 v v) -1))) -1)
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (*.f64 v v))))
(pow.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (*.f64 v v))))
(neg.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (+.f64 (*.f64 v v) -1))))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (PI.f64) (.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)))) 0)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v))))
(+.f64 0 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v))))
(-.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 0)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v))))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))) 1)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v))))
(.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v))))
(/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 1)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v))))
(pow.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 1)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v))))

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))
	0.0b	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
	0.2b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))

Compiler

Compiled 94 to 63 computations (33% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))
1.0ms	v	@	0	(.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))
0.0ms	v	@	0	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
0.0ms	v	@	-inf	(.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))
0.0ms	v	@	inf	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

354×	`rational_best-simplify-2`
238×	`rational_best-simplify-44`
160×	`rational_best-2`
160×	`rational_best-3`
160×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	116
1	135	116
2	194	116
3	248	116
4	310	116
5	380	116
6	484	116
7	730	116
8	933	116
9	952	116
10	964	116
11	991	116
12	991	116

Stop Event

1×

saturated

Counts

2 → 14

Calls

Call 1

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

Inputs

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

(*.f64 (*.f64 3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))

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

Outputs

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

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

simplify312.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1706×	`rational_best-simplify-2`
1244×	`rational_best-simplify-53`
1078×	`rational_best-simplify-45`
1064×	`rational_best-simplify-1`
846×	`rational_best-simplify-46`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	202	4460
1	416	4322
2	659	4280
3	1003	4244
4	1457	4244
5	1734	4208
6	1925	4202
7	2273	4184
8	2669	4166
9	3179	4166
10	3828	4166
11	5756	4166
12	6103	4166
13	6603	4166
14	6810	4166
15	7171	4166

Stop Event

1×	node limit

Counts

38 → 163

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
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(/.f64 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 (PI.f64) (+.f64 (.f64 v v) -1)))) -1)
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Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
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(.f64 4/3 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))))
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(+.f64 (.f64 (PI.f64) (.f64 3 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))) (.f64 -3 (+.f64 (.f64 v (+.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 -6)))) (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (/.f64 (PI.f64) (sqrt.f64 -7776))) (pow.f64 v 3)))))))
(+.f64 (.f64 (PI.f64) (.f64 3 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))) (.f64 -3 (+.f64 (.f64 v (.f64 (PI.f64) (+.f64 (sqrt.f64 -6) (/.f64 -1 (sqrt.f64 -6))))) (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (/.f64 (PI.f64) (sqrt.f64 -7776))) (pow.f64 v 3)))))))
(+.f64 (.f64 (PI.f64) (.f64 3 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))) (.f64 -3 (+.f64 (.f64 (PI.f64) (.f64 v (+.f64 (sqrt.f64 -6) (/.f64 -1 (sqrt.f64 -6))))) (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (/.f64 (PI.f64) (sqrt.f64 -7776))) (pow.f64 v 3)))))))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (.f64 v -3) (+.f64 (sqrt.f64 -6) (/.f64 -1 (sqrt.f64 -6)))))) (.f64 -3 (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (/.f64 (PI.f64) (sqrt.f64 -7776))) (pow.f64 v 3))))))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (.f64 v -3) (+.f64 (sqrt.f64 -6) (/.f64 -1 (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v)) (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (/.f64 (PI.f64) (sqrt.f64 -7776))) (pow.f64 v 3)) 3/2)))
(+.f64 (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))) 0)
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))))
(+.f64 0 (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))))
(-.f64 (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))) 0)
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))))
(.f64 1 (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (*.f64 v v)))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (*.f64 v v)))))) 1)
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))))
(pow.f64 (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))) 1)
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v))))))
(+.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))) 0)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(+.f64 0 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(-.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))) 0)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(-.f64 0 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 (PI.f64) (+.f64 (.f64 v v) -1)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))) 1)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 (PI.f64) (+.f64 (.f64 v v) -1)))) -1)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(pow.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))) 1)
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(neg.f64 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))) (.f64 (PI.f64) (+.f64 (.f64 v v) -1)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))

eval530.0ms (7.7%)

Compiler: Compiled 18300 to 15178 computations (17.1% saved)

prune57.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	422	4	426
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	423	5	428

Error

0.0b

Counts

428 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
▶	1.0b	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
▶	0.4b	(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
✓	1.0b	(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
▶	1.3b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 73 to 63 computations (13.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (sqrt.f64 1/2) (PI.f64))

Compiler

Compiled 16 to 14 computations (12.5% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`rational_best-1`
1152×	`rational_best-2`
1144×	`rational_best-4`
1144×	`rational_best-3`
1120×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	50	13
2	78	13
3	92	13
4	124	13
5	222	13
6	538	13
7	1927	13
8	3621	13
9	5971	13

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 1/2) (PI.f64))

Outputs

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(sqrt.f64 1/2) (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))) (+.f64 -1 (*.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64)))) (+.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 -4 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 -3 (PI.f64))) (*.f64 (sqrt.f64 1/2) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64)))) (+.f64 1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 5) (*.f64 (sqrt.f64 1/2) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 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egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (PI.f64)) (/.f64 -3 (PI.f64))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (PI.f64)) (*.f64 (/.f64 -1 (PI.f64)) 3)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 4) (-.f64 0 (*.f64 (sqrt.f64 1/2) 3))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 (neg.f64 (sqrt.f64 1/2)) 3)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))))))

simplify157.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational_best-simplify-46`
1166×	`rational_best-simplify-49`
978×	`rational_best-simplify-1`
780×	`rational_best-simplify-2`
672×	`rational_best-simplify-43`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	184	1778
1	300	1738
2	518	1728
3	855	1688
4	2252	1668
5	5696	1662
6	6617	1662
7	7389	1662
8	7677	1662

Stop Event

1×	node limit

Counts

82 → 105

Calls

Call 1

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

Outputs
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
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(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 4 (PI.f64)) (.f64 (/.f64 -1 (PI.f64)) 3)))
(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 4 (PI.f64)) (.f64 3 (/.f64 -1 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1 (PI.f64)) (+.f64 (.f64 (sqrt.f64 1/2) -2) (*.f64 (sqrt.f64 1/2) 3)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1 (PI.f64)) (+.f64 (.f64 (sqrt.f64 1/2) -2) (-.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) -2))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1 (PI.f64)) (+.f64 (.f64 (sqrt.f64 1/2) 4) (-.f64 0 (*.f64 (sqrt.f64 1/2) 3))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1 (PI.f64)) (+.f64 (.f64 (sqrt.f64 1/2) 4) (*.f64 (neg.f64 (sqrt.f64 1/2)) 3)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 -1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (.f64 (/.f64 1 (PI.f64)) 3) (/.f64 -4 (PI.f64))))
(.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 -4 (PI.f64)) (.f64 3 (/.f64 1 (PI.f64)))))
(*.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 2 (PI.f64)) (/.f64 -3 (PI.f64))))
(*.f64 (sqrt.f64 1/2) (neg.f64 (+.f64 (/.f64 2 (PI.f64)) (/.f64 -3 (PI.f64)))))
(.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 2 (PI.f64)) (.f64 (/.f64 -1 (PI.f64)) 3)))
(.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 2 (PI.f64)) (.f64 3 (/.f64 -1 (PI.f64)))))
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))) -1)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 -1 (PI.f64)) (+.f64 (.f64 (sqrt.f64 1/2) 3) (neg.f64 (*.f64 (sqrt.f64 1/2) 4))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 -1 (PI.f64)) (+.f64 (.f64 (sqrt.f64 1/2) 2) (-.f64 0 (*.f64 (sqrt.f64 1/2) 3))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 -1 (PI.f64)) (+.f64 (.f64 (sqrt.f64 1/2) 2) (*.f64 (neg.f64 (sqrt.f64 1/2)) 3)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (+.f64 (/.f64 -2 (PI.f64)) (.f64 (/.f64 1 (PI.f64)) 3)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -2 (PI.f64)) (.f64 3 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) -2) (*.f64 (sqrt.f64 1/2) 3)) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (+.f64 (.f64 (/.f64 1 (PI.f64)) 3) (/.f64 -4 (PI.f64))) (neg.f64 (sqrt.f64 1/2)))
(.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 -4 (PI.f64)) (.f64 3 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) 3) (neg.f64 (*.f64 (sqrt.f64 1/2) 4))) (/.f64 -1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (+.f64 (/.f64 -2 (PI.f64)) (/.f64 3 (PI.f64))) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) -2) (-.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) -2))) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (+.f64 (/.f64 2 (PI.f64)) (/.f64 -3 (PI.f64))) (neg.f64 (sqrt.f64 1/2)))
(*.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 2 (PI.f64)) (/.f64 -3 (PI.f64))))
(*.f64 (sqrt.f64 1/2) (neg.f64 (+.f64 (/.f64 2 (PI.f64)) (/.f64 -3 (PI.f64)))))
(.f64 (+.f64 (/.f64 2 (PI.f64)) (.f64 (/.f64 -1 (PI.f64)) 3)) (neg.f64 (sqrt.f64 1/2)))
(.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 2 (PI.f64)) (.f64 3 (/.f64 -1 (PI.f64)))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) 2) (-.f64 0 (*.f64 (sqrt.f64 1/2) 3))) (/.f64 -1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) 2) (*.f64 (neg.f64 (sqrt.f64 1/2)) 3)) (/.f64 -1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (+.f64 (/.f64 4 (PI.f64)) (/.f64 -3 (PI.f64))) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (+.f64 (/.f64 4 (PI.f64)) (.f64 (/.f64 -1 (PI.f64)) 3)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 4 (PI.f64)) (.f64 3 (/.f64 -1 (PI.f64)))))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) 4) (-.f64 0 (*.f64 (sqrt.f64 1/2) 3))) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) 4) (*.f64 (neg.f64 (sqrt.f64 1/2)) 3)) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 3 (sqrt.f64 2))
✓	1.0b	(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
✓	1.0b	(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))

Compiler

Compiled 25 to 23 computations (8% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite13.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

34×	`rational_best-simplify-2`
22×	`rational_best-4`
22×	`rational_best-2`
22×	`rational_best-3`
22×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	78	55
2	115	55
3	125	55
4	127	55

Stop Event

1×

saturated

Counts

3 → 16

Calls

Call 1

Inputs
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(*.f64 3 (sqrt.f64 2))

Outputs

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

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

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`rational_best-simplify-2`
12×	`rational_best-simplify-6`
8×	`rational_best-simplify-47`
6×	`rational_best-simplify-4`
6×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	300
1	37	300
2	47	300
3	52	300
4	55	300
5	56	300

Stop Event

1×

saturated

Counts

16 → 19

Calls

Call 1

Inputs
(+.f64 (/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))) 0)
(+.f64 0 (/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))))
(-.f64 (/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))) 0)
(.f64 (/.f64 4 (.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) 1)
(.f64 1 (/.f64 4 (.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))))
(pow.f64 (/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))) 1)
(+.f64 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(-.f64 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))) 0)
(/.f64 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))) 1)
(+.f64 (*.f64 3 (sqrt.f64 2)) 0)
(+.f64 0 (*.f64 3 (sqrt.f64 2)))
(-.f64 (*.f64 3 (sqrt.f64 2)) 0)
(/.f64 (*.f64 3 (sqrt.f64 2)) 1)
(pow.f64 (*.f64 3 (sqrt.f64 2)) 1)

Outputs
(+.f64 (/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))) 0)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(+.f64 0 (/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(-.f64 (/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))) 0)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(.f64 (/.f64 4 (.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) 1)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(.f64 1 (/.f64 4 (.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(pow.f64 (/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))) 1)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(+.f64 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))) 0)
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(+.f64 0 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(-.f64 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))) 0)
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(/.f64 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))) 1)
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(pow.f64 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))) 1)
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(+.f64 (*.f64 3 (sqrt.f64 2)) 0)
(*.f64 3 (sqrt.f64 2))
(+.f64 0 (*.f64 3 (sqrt.f64 2)))
(*.f64 3 (sqrt.f64 2))
(-.f64 (*.f64 3 (sqrt.f64 2)) 0)
(*.f64 3 (sqrt.f64 2))
(/.f64 (*.f64 3 (sqrt.f64 2)) 1)
(*.f64 3 (sqrt.f64 2))
(pow.f64 (*.f64 3 (sqrt.f64 2)) 1)
(*.f64 3 (sqrt.f64 2))

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
✓	0.0b	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
	0.2b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))

Compiler

Compiled 93 to 61 computations (34.4% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
1.0ms	v	@	0	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
0.0ms	v	@	inf	(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
0.0ms	v	@	0	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))
0.0ms	v	@	inf	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))

rewrite225.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

372×	`rational_best-simplify-2`
230×	`rational_best-simplify-44`
168×	`rational_best-2`
168×	`rational_best-3`
168×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	143
1	137	143
2	207	143
3	280	143
4	343	143
5	389	143
6	507	143
7	786	143
8	963	143
9	982	143
10	994	143
11	1022	143
12	1022	143

Stop Event

1×

saturated

Counts

3 → 22

Calls

Call 1

Inputs

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

(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))

(*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))

Outputs

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

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

simplify313.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1740×	`rational_best-simplify-2`
1240×	`rational_best-simplify-53`
1142×	`rational_best-simplify-1`
846×	`rational_best-simplify-46`
768×	`rational_best-simplify-43`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	217	5042
1	443	4904
2	702	4790
3	1079	4754
4	1545	4750
5	1846	4712
6	2138	4712
7	2413	4712
8	2634	4712
9	3037	4712
10	3650	4712
11	5577	4712
12	6162	4712
13	6766	4712
14	7014	4712
15	7425	4712

Stop Event

1×	node limit

Counts

58 → 173

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
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(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
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(.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))
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(+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))))))
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(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
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(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(*.f64 3 (PI.f64))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(.f64 -3 (.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
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(.f64 -3 (.f64 (pow.f64 v 2) (PI.f64)))
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(+.f64 0 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))))
(-.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))) 0)
(.f64 1 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))))
(.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))) 1)
(pow.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))) 1)
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(+.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 0)
(-.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 (PI.f64) 3) (+.f64 (.f64 v v) -1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 (PI.f64) 3) (+.f64 (.f64 v v) -1))) -1)
(pow.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 1)
(neg.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 (PI.f64) 3) (+.f64 (.f64 v v) -1))))
(+.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))
(-.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))) 0)
(-.f64 0 (.f64 (.f64 (PI.f64) 3) (+.f64 (*.f64 v v) -1)))
(/.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (.f64 (.f64 (PI.f64) 3) (+.f64 (*.f64 v v) -1)) -1)
(pow.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))) 1)
(neg.f64 (.f64 (.f64 (PI.f64) 3) (+.f64 (*.f64 v v) -1)))

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))))
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(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))))
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(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v)) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 -3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (sqrt.f64 -7776))) (.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) -1/2)) (pow.f64 v 3))))))
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(+.f64 (.f64 (PI.f64) (.f64 3 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))) (.f64 -3 (+.f64 (+.f64 (.f64 v (+.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 -6)))) (.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (/.f64 (PI.f64) (sqrt.f64 -7776))) (/.f64 -1/2 (pow.f64 v 3)))) (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v))))
(+.f64 (.f64 (PI.f64) (.f64 3 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))) (.f64 -3 (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v) (+.f64 (.f64 v (+.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (neg.f64 (sqrt.f64 -6))))) (.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (/.f64 (PI.f64) (sqrt.f64 -7776))) (/.f64 -1/2 (pow.f64 v 3)))))))
(+.f64 (.f64 (PI.f64) (.f64 3 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))) (.f64 -3 (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v) (+.f64 (.f64 v (.f64 (PI.f64) (+.f64 (sqrt.f64 -6) (/.f64 -1 (sqrt.f64 -6))))) (.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (/.f64 (PI.f64) (sqrt.f64 -7776))) (/.f64 -1/2 (pow.f64 v 3)))))))
(+.f64 (.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6)))) (.f64 -3 (+.f64 (.f64 v (.f64 (PI.f64) (+.f64 (sqrt.f64 -6) (/.f64 -1 (sqrt.f64 -6))))) (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 -216)))) v) (.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (/.f64 (PI.f64) (sqrt.f64 -7776))) (/.f64 -1/2 (pow.f64 v 3)))))))
(*.f64 3 (PI.f64))
(*.f64 (PI.f64) 3)
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -3 (PI.f64))) (*.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (PI.f64) (pow.f64 v 2))) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 (pow.f64 v 2) -3)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -3 (PI.f64))) (*.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (PI.f64) (pow.f64 v 2))) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 (pow.f64 v 2) -3)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -3 (PI.f64))) (*.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (PI.f64) (pow.f64 v 2))) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 (pow.f64 v 2) -3)))
(.f64 -3 (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (pow.f64 v 2) (.f64 -3 (PI.f64)))
(.f64 -3 (.f64 (PI.f64) (pow.f64 v 2)))
(.f64 (PI.f64) (.f64 (pow.f64 v 2) -3))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -3 (PI.f64))) (*.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (PI.f64) (pow.f64 v 2))) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 (pow.f64 v 2) -3)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -3 (PI.f64))) (*.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (PI.f64) (pow.f64 v 2))) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 (pow.f64 v 2) -3)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -3 (PI.f64))) (*.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (PI.f64) (pow.f64 v 2))) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 (pow.f64 v 2) -3)))
(.f64 -3 (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (pow.f64 v 2) (.f64 -3 (PI.f64)))
(.f64 -3 (.f64 (PI.f64) (pow.f64 v 2)))
(.f64 (PI.f64) (.f64 (pow.f64 v 2) -3))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -3 (PI.f64))) (*.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (PI.f64) (pow.f64 v 2))) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 (pow.f64 v 2) -3)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -3 (PI.f64))) (*.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (PI.f64) (pow.f64 v 2))) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 (pow.f64 v 2) -3)))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -3 (PI.f64))) (*.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (PI.f64) (pow.f64 v 2))) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 (pow.f64 v 2) -3)))
(+.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))) 0)
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(+.f64 0 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(-.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))) 0)
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(.f64 1 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))) 1)
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(pow.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))))) 1)
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v))))))
(+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 0)
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v)))))
(+.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v)))))
(-.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 0)
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v)))))
(-.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 (PI.f64) 3) (+.f64 (.f64 v v) -1))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 1)
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 (PI.f64) 3) (+.f64 (.f64 v v) -1))) -1)
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v)))))
(pow.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 1)
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v)))))
(neg.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (.f64 (PI.f64) 3) (+.f64 (.f64 v v) -1))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 3 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (.f64 v v)))))
(+.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))) 0)
(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
(.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 0 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
(.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(-.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))) 0)
(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
(.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(-.f64 0 (.f64 (.f64 (PI.f64) 3) (+.f64 (*.f64 v v) -1)))
(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
(.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))) 1)
(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
(.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(/.f64 (.f64 (.f64 (PI.f64) 3) (+.f64 (*.f64 v v) -1)) -1)
(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
(.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(pow.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))) 1)
(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
(.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(neg.f64 (.f64 (.f64 (PI.f64) 3) (+.f64 (*.f64 v v) -1)))
(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
(.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))
✓	0.0b	(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
✓	1.0b	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))

Compiler

Compiled 54 to 36 computations (33.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite36.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`rational_best-simplify-2`
194×	`rational_best-simplify-44`
138×	`rational_best-2`
138×	`rational_best-3`
138×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	103
1	109	103
2	159	103
3	203	103
4	251	103
5	311	103
6	402	103
7	619	103
8	780	103
9	787	103

Stop Event

1×

saturated

Counts

3 → 22

Calls

Call 1

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

Outputs

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

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

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

simplify559.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

2122×	`rational_best-simplify-44`
1754×	`rational_best-simplify-2`
1262×	`rational_best-simplify-1`
1144×	`rational_best-simplify-47`
760×	`rational_best-simplify-49`

Iterations

Useful iterations: 33 (0.0ms)

Iter	Nodes	Cost
0	103	2784
1	190	2690
2	329	2574
3	508	2476
4	767	2468
5	934	2468
6	1031	2468
7	1144	2468
8	1201	2468
9	1231	2468
10	1339	2468
11	1435	2432
12	1519	2432
13	1571	2432
14	1579	2432
15	1594	2432
16	1725	2432
17	1805	2432
18	1823	2432
19	1841	2408
20	1854	2390
21	1882	2390
22	1930	2390
23	1942	2390
24	1948	2390
25	1957	2384
26	1964	2384
27	2019	2342
28	2091	2342
29	2203	2342
30	2356	2342
31	2530	2342
32	2755	2342
33	2832	2324
34	2883	2324
35	2911	2324
36	2933	2324
37	2977	2324
38	3100	2324
39	3436	2324
40	4097	2324
41	5302	2324
42	5951	2324
43	7113	2324
44	7990	2324

Stop Event

1×	node limit

Counts

58 → 123

Calls

Call 1

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

Outputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 4/3 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 4/3 (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 4/3 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 4/3 (*.f64 4/3 (pow.f64 v 2))))
(.f64 4/3 (.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (pow.f64 v 2) 1)))
(.f64 4/3 (.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 1 (pow.f64 v 2))))
(+.f64 (/.f64 (+.f64 4/3 (.f64 4/3 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (PI.f64))) 0)
(/.f64 (.f64 4/3 (+.f64 1 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (PI.f64)))
(.f64 4/3 (/.f64 (+.f64 1 (pow.f64 v 2)) (.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 4/3 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (.f64 4/3 (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 4/3 (+.f64 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64))))))
(.f64 4/3 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (PI.f64))))))
(.f64 4/3 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (pow.f64 v 4) (pow.f64 v 2)))))
(.f64 4/3 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (pow.f64 v 2) (pow.f64 v 4)))))
(.f64 4/3 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (/.f64 (+.f64 (pow.f64 v 2) (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (PI.f64))) 0)))
(.f64 4/3 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (+.f64 (pow.f64 v 2) (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 4/3 (*.f64 4/3 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))))
(.f64 4/3 (.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (+.f64 (pow.f64 v 2) (pow.f64 v 4)) 1)))
(.f64 4/3 (.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))))
(+.f64 (/.f64 (+.f64 4/3 (.f64 4/3 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))) (.f64 (sqrt.f64 2) (PI.f64))) 0)
(/.f64 (+.f64 4/3 (.f64 4/3 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))) (.f64 (sqrt.f64 2) (PI.f64)))
(.f64 4/3 (/.f64 (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))) (.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 4/3 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (PI.f64)))))))
(+.f64 (.f64 4/3 (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 4/3 (+.f64 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (.f64 4/3 (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 4/3 (+.f64 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64))))))
(.f64 4/3 (+.f64 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))))))
(.f64 4/3 (+.f64 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (pow.f64 v 4) (pow.f64 v 2))))))
(.f64 4/3 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (pow.f64 v 6) (+.f64 (pow.f64 v 2) (pow.f64 v 4))))))
(.f64 4/3 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (/.f64 (+.f64 (pow.f64 v 6) (+.f64 (pow.f64 v 2) (pow.f64 v 4))) (*.f64 (sqrt.f64 2) (PI.f64))) 0)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 4/3 (*.f64 4/3 (+.f64 (pow.f64 v 6) (+.f64 (pow.f64 v 2) (pow.f64 v 4))))))
(.f64 4/3 (.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (+.f64 (pow.f64 v 4) (+.f64 (pow.f64 v 2) (pow.f64 v 6))) 1)))
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(*.f64 (sqrt.f64 2) (+.f64 1 (neg.f64 (pow.f64 v 2))))
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(.f64 (sqrt.f64 2) (.f64 3 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) 3))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (PI.f64)))) (.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (PI.f64) 3)) (.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 2) -3)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 v 2) -3) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 3 (*.f64 (pow.f64 v 2) -3))))
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(.f64 (sqrt.f64 2) (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 2) -3)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 v 2) -3) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 3 (*.f64 (pow.f64 v 2) -3))))
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(+.f64 (.f64 (sqrt.f64 2) (.f64 3 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (PI.f64) 3)) (.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 2) -3)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 v 2) -3) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 3 (*.f64 (pow.f64 v 2) -3))))
(.f64 -3 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2))))
(.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64))))
(.f64 (PI.f64) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (*.f64 (pow.f64 v 2) -3)))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (PI.f64)))) (.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (PI.f64) 3)) (.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 2) -3)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 v 2) -3) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 3 (*.f64 (pow.f64 v 2) -3))))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (PI.f64)))) (.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (PI.f64) 3)) (.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 2) -3)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 v 2) -3) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 3 (*.f64 (pow.f64 v 2) -3))))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (PI.f64)))) (.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (PI.f64) 3)) (.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 2) -3)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 v 2) -3) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 3 (*.f64 (pow.f64 v 2) -3))))
(.f64 -3 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2))))
(.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64))))
(.f64 (PI.f64) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) -3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (*.f64 (pow.f64 v 2) -3)))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (PI.f64)))) (.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (PI.f64) 3)) (.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 2) -3)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 v 2) -3) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 3 (*.f64 (pow.f64 v 2) -3))))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (PI.f64)))) (.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (PI.f64) 3)) (.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 2) -3)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 v 2) -3) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 3 (*.f64 (pow.f64 v 2) -3))))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (PI.f64)))) (.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 3 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 -3 (*.f64 (PI.f64) (pow.f64 v 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (PI.f64) 3)) (.f64 (pow.f64 v 2) (.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 2) -3)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 v 2) -3) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (+.f64 3 (*.f64 (pow.f64 v 2) -3))))
(+.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) 0)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2)))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3))))
(+.f64 0 (/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2)))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3))))
(-.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) 0)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2)))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3))))
(.f64 1 (/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2)))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3))))
(.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))) 1)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2)))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3))))
(pow.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) 1)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2)))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3))))
(/.f64 4 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v))))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3))))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 0)
(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 0)
(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
(-.f64 0 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)))
(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
(/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 1)
(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)) -1)
(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
(pow.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))) 1)
(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
(neg.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v v) -1)))
(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 0)
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3)))
(+.f64 0 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3)))
(-.f64 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 0)
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3)))
(-.f64 0 (.f64 3 (.f64 (+.f64 (.f64 v v) -1) (.f64 (PI.f64) (sqrt.f64 2)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3)))
(/.f64 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 1)
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3)))
(/.f64 (.f64 3 (.f64 (+.f64 (.f64 v v) -1) (.f64 (PI.f64) (sqrt.f64 2)))) -1)
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3)))
(pow.f64 (.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) 1)
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3)))
(neg.f64 (.f64 3 (.f64 (+.f64 (.f64 v v) -1) (.f64 (PI.f64) (sqrt.f64 2)))))
(.f64 (PI.f64) (.f64 3 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (.f64 3 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (.f64 v v)) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) (.f64 -3 (+.f64 -1 (.f64 v v)))))
(.f64 3 (.f64 (sqrt.f64 2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (+.f64 -1 (.f64 v v)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) -3)))

eval231.0ms (3.4%)

Compiler: Compiled 12463 to 10393 computations (16.6% saved)

prune62.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	428	3	431
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	430	6	436

Error

Counts

436 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
▶	1.3b	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3)))
✓	1.0b	(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
▶	0.4b	(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
✓	1.3b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
▶	3.7b	(.f64 4/3 (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) -8) (PI.f64)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 5 (/.f64 -1 (PI.f64))) (/.f64 -4 (PI.f64))))))

Compiler

Compiled 93 to 81 computations (12.9% saved)

localize36.0ms (0.5%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

1.0b

(/.f64 (*.f64 (sqrt.f64 1/2) -8) (PI.f64))

✓

1.0b

(*.f64 5 (/.f64 -1 (PI.f64)))

✓

3.0b

(-.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -8) (PI.f64)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 5 (/.f64 -1 (PI.f64))) (/.f64 -4 (PI.f64)))))

Compiler

Compiled 92 to 78 computations (15.2% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite117.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`rational_best-1`
1450×	`rational_best-2`
1450×	`rational_best-3`
1198×	`rational_best-simplify-46`
1024×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	97
1	122	97
2	181	87
3	255	87
4	495	87
5	1323	87
6	4236	87
7	7115	87

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs

(-.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -8) (PI.f64)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 5 (/.f64 -1 (PI.f64))) (/.f64 -4 (PI.f64)))))

(*.f64 5 (/.f64 -1 (PI.f64)))

(/.f64 (*.f64 (sqrt.f64 1/2) -8) (PI.f64))

Outputs

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simplify261.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1354×	`rational_best-simplify-50`
1086×	`rational_best-simplify-55`
1072×	`rational_best-simplify-2`
1012×	`rational_best-simplify-1`
722×	`rational_best-simplify-51`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	296	10612
1	467	9810
2	739	9118
3	1214	8954
4	2222	8606
5	4160	8558
6	5996	8452
7	7171	8398

Stop Event

1×	node limit

Counts

150 → 246

Calls

Call 1

Inputs
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Outputs
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(.f64 (-.f64 (.f64 (/.f64 1 (PI.f64)) -16) (/.f64 -8 (PI.f64))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (-.f64 (.f64 -16 (/.f64 1 (PI.f64))) (/.f64 -8 (PI.f64))))
(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 8 (PI.f64)) (.f64 -16 (/.f64 1 (PI.f64)))))
(.f64 (-.f64 0 (.f64 -8 (/.f64 -1 (PI.f64)))) (sqrt.f64 1/2))
(+.f64 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 16) (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -24))
(*.f64 -8 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 -8 (PI.f64))) 1)
(*.f64 (sqrt.f64 1/2) (/.f64 -8 (PI.f64)))
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 8 (PI.f64))))
(*.f64 (sqrt.f64 1/2) (/.f64 -8 (PI.f64)))

localize8.0ms (0.1%)

Compiler: Compiled 16 to 14 computations (12.5% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3))
	0.0b	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
	0.2b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3)))

Compiler

Compiled 59 to 44 computations (25.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3)))
1.0ms	v	@	0	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3)))
0.0ms	v	@	0	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3))
0.0ms	v	@	inf	(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3))
0.0ms	v	@	-inf	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3)))

rewrite30.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

106×	`rational_best-simplify-2`
58×	`rational_best-2`
58×	`rational_best-3`
58×	`rational_best-1`
54×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	80
1	110	80
2	159	80
3	186	80
4	206	80
5	229	80
6	248	80
7	288	80
8	312	80
9	320	80
10	345	80
11	360	80
12	375	80
13	379	80

Stop Event

1×

saturated

Counts

2 → 11

Calls

Call 1

Inputs
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3))

Outputs

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

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

simplify216.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1432×	`rational_best-simplify-41`
1182×	`rational_best-simplify-48`
1074×	`rational_best-simplify-2`
882×	`rational_best-simplify-53`
880×	`rational_best-simplify-1`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	169	2579
1	322	2531
2	492	2525
3	643	2493
4	814	2485
5	908	2477
6	1012	2477
7	1128	2477
8	1338	2477
9	1714	2465
10	2299	2465
11	3046	2465
12	5469	2465
13	6422	2465
14	7098	2465

Stop Event

1×	node limit

Counts

35 → 122

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 -9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 -9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (.f64 -27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (.f64 -9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (.f64 -27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -81/2 (/.f64 (.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))))))
(.f64 3 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))))
(+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))))
(.f64 -3 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))))
(+.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3))) 0)
(+.f64 0 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3))))
(-.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3))) 0)
(.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (*.f64 (PI.f64) 3))) 1)
(.f64 1 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (*.f64 (PI.f64) 3))))
(pow.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3))) 1)
(+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)) 0)
(+.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)))
(-.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)) 0)
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)) 1)
(pow.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)) 1)

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 2/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 2/3 (.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (+.f64 (.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (+.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (+.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
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(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))))
(+.f64 (.f64 v (.f64 -3 (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) -3) (.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -216))) 3/2)))
(+.f64 (.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216))) 3/2) (.f64 -3 (+.f64 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))))
(+.f64 (.f64 -3 (+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))) (.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216))) 3/2))
(+.f64 (.f64 -3 (.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))))) (.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216))) 3/2))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))))
(+.f64 (.f64 v (.f64 -3 (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (sqrt.f64 -7776)))) (+.f64 (.f64 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) -3) (.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -216))) 3/2))))
(+.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -3 v)) (+.f64 (.f64 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) -3) (+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (sqrt.f64 -7776)))) (.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -216))) 3/2))))
(+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (sqrt.f64 -7776)))) (+.f64 (.f64 -3 (+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))) (.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216))) 3/2)))
(+.f64 (.f64 -3 (+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))) (+.f64 (.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216))) 3/2) (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (.f64 -3 (.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))))) (+.f64 (.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216))) 3/2) (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3))) 0)
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(+.f64 0 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(-.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3))) 0)
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (*.f64 (PI.f64) 3))) 1)
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(.f64 1 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (*.f64 (PI.f64) 3))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(pow.f64 (/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3))) 1)
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)) 0)
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3))
(.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))
(+.f64 0 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3))
(.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)) 0)
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3))
(.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)) 1)
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3))
(.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))
(pow.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (.f64 (PI.f64) 3)) 1)
(.f64 (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3))
(.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))

eval538.0ms (7.8%)

Compiler: Compiled 13859 to 11682 computations (15.7% saved)

prune116.0ms (1.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	424	1	425
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	424	7	431

Error

Counts

431 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
✓	1.3b	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3)))
✓	1.0b	(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
▶	1.3b	(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
✓	0.4b	(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
✓	1.3b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
✓	3.7b	(.f64 4/3 (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) -8) (PI.f64)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 5 (/.f64 -1 (PI.f64))) (/.f64 -4 (PI.f64))))))

Compiler

Compiled 108 to 94 computations (13% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
✓	0.0b	(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
✓	0.2b	(.f64 v (.f64 v -6))
✓	1.0b	(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))

Compiler

Compiled 66 to 49 computations (25.8% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
0.0ms	v	@	inf	(.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
0.0ms	v	@	inf	(.f64 v (.f64 v -6))
0.0ms	v	@	0	(.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
0.0ms	v	@	-inf	(.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))

rewrite34.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

102×	`rational_best-simplify-2`
64×	`rational_best-2`
64×	`rational_best-3`
64×	`rational_best-1`
56×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	110
1	111	110
2	158	110
3	178	110
4	185	110
5	192	110
6	198	110
7	216	110
8	228	110
9	245	110
10	274	110
11	310	110
12	359	110
13	370	110
14	372	110

Stop Event

1×

saturated

Counts

4 → 26

Calls

Call 1

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

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

simplify299.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1768×	`rational_best-simplify-2`
1476×	`rational_best-simplify-1`
1120×	`rational_best-simplify-39`
1066×	`rational_best-simplify-51`
1056×	`rational_best-simplify-53`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	213	3540
1	400	3494
2	575	3470
3	787	3448
4	1004	3440
5	1192	3428
6	1578	3428
7	2195	3420
8	2669	3416
9	3267	3400
10	3748	3400
11	4216	3396
12	5878	3396
13	6362	3396
14	6765	3396
15	7078	3396
16	7446	3396
17	7587	3396

Stop Event

1×	node limit

Counts

74 → 200

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(*.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))
(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 (sqrt.f64 2) (PI.f64))
(+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (.f64 -27/2 (/.f64 (.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 -6) (.f64 v (PI.f64)))
(+.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))))
(.f64 -1 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))))
(+.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))) 0)
(+.f64 0 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))))
(-.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))) 0)
(.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))) 1)
(.f64 1 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))))
(pow.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))) 1)
(+.f64 (.f64 v (.f64 v -6)) 0)
(+.f64 0 (.f64 v (.f64 v -6)))
(-.f64 (.f64 v (.f64 v -6)) 0)
(-.f64 0 (.f64 (.f64 v v) 6))
(/.f64 (.f64 v (.f64 v -6)) 1)
(/.f64 (.f64 (.f64 v v) 6) -1)
(pow.f64 (.f64 v (.f64 v -6)) 1)
(neg.f64 (.f64 (.f64 v v) 6))
(+.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
(-.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 0)
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))) 1)
(.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
(/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 1)
(+.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))) 0)
(+.f64 0 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(-.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))) 0)
(/.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))) 1)
(pow.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))) 1)

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 2/3 (.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (+.f64 (.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (+.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (+.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 1 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))) (.f64 1/27 (/.f64 1 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (+.f64 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (.f64 (PI.f64) (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (pow.f64 v 5) (sqrt.f64 -1/6))))))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))))) (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))))) (.f64 1/27 (/.f64 1 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3)
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
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(+.f64 (.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))) (.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -216)))))
(+.f64 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (.f64 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -216))) -1/2))))
(.f64 (PI.f64) (+.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -216))) -1/2)))
(.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -216))) -1/2))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))))
(+.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (+.f64 (+.f64 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (+.f64 (+.f64 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (+.f64 (.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))))
(+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 (PI.f64) (+.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 v 5) (sqrt.f64 -7776)))))))
(.f64 (PI.f64) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216))) -1/2) (+.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 v 5) (sqrt.f64 -7776)))))))
(.f64 (PI.f64) (+.f64 (+.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776))))) (.f64 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -216))) -1/2)))
(.f64 (PI.f64) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776)))) (+.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -216))) -1/2))))
(.f64 (PI.f64) (+.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -216))) -1/2))))
(.f64 -1 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(.f64 v (.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6))))
(neg.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))
(.f64 (PI.f64) (.f64 v (neg.f64 (sqrt.f64 -6))))
(.f64 (.f64 v (sqrt.f64 -6)) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (.f64 (sqrt.f64 -6) (neg.f64 v)))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(+.f64 (.f64 v (.f64 -1 (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(.f64 -1 (+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))))
(neg.f64 (+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(neg.f64 (.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (*.f64 v (sqrt.f64 -6))))))
(.f64 (PI.f64) (+.f64 (.f64 v (neg.f64 (sqrt.f64 -6))) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(.f64 (PI.f64) (-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (*.f64 v (sqrt.f64 -6))))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))
(+.f64 (.f64 v (.f64 -1 (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -216))))))
(+.f64 (.f64 -1 (+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))) (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))))
(+.f64 (neg.f64 (+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -216)))))
(+.f64 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -216)))))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 v (neg.f64 (sqrt.f64 -6))) (/.f64 -1 (.f64 v (sqrt.f64 -6))))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -216)))))
(.f64 (PI.f64) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (+.f64 (.f64 v (neg.f64 (sqrt.f64 -6))) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))))
(.f64 (PI.f64) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (*.f64 v (sqrt.f64 -6)))))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (sqrt.f64 -7776))))) (+.f64 (.f64 v (.f64 -1 (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))))
(+.f64 (.f64 -1 (+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (neg.f64 (+.f64 (.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (neg.f64 (.f64 (PI.f64) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (.f64 (PI.f64) (+.f64 (.f64 v (neg.f64 (sqrt.f64 -6))) (/.f64 -1 (.f64 v (sqrt.f64 -6))))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -7776))))))
(+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (.f64 (PI.f64) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776))) -1/2) (+.f64 (.f64 v (neg.f64 (sqrt.f64 -6))) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))))
(.f64 (PI.f64) (+.f64 (+.f64 (.f64 v (neg.f64 (sqrt.f64 -6))) (.f64 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776))) -1/2)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))))
(.f64 (PI.f64) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776))) -1/2) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (*.f64 v (sqrt.f64 -6))))))
(.f64 (PI.f64) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -216)))) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -7776))) -1/2) (-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (*.f64 v (sqrt.f64 -6))))))
(+.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))) 0)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(+.f64 0 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(-.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))) 0)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))) 1)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(.f64 1 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(pow.f64 (/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))) 1)
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(/.f64 4 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(+.f64 (.f64 v (.f64 v -6)) 0)
(.f64 v (.f64 v -6))
(+.f64 0 (.f64 v (.f64 v -6)))
(.f64 v (.f64 v -6))
(-.f64 (.f64 v (.f64 v -6)) 0)
(.f64 v (.f64 v -6))
(-.f64 0 (.f64 (.f64 v v) 6))
(.f64 v (.f64 v -6))
(/.f64 (.f64 v (.f64 v -6)) 1)
(.f64 v (.f64 v -6))
(/.f64 (.f64 (.f64 v v) 6) -1)
(.f64 v (.f64 v -6))
(pow.f64 (.f64 v (.f64 v -6)) 1)
(.f64 v (.f64 v -6))
(neg.f64 (.f64 (.f64 v v) 6))
(.f64 v (.f64 v -6))
(+.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 0)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(+.f64 0 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(-.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 0)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))) 1)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 1)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(pow.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) 1)
(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
(+.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))) 0)
(.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
(+.f64 0 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
(-.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))) 0)
(.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))) 1)
(.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))
(pow.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))) 1)
(.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))

eval100.0ms (1.4%)

Compiler: Compiled 5694 to 4795 computations (15.8% saved)

prune27.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	200	7	207

Error

Counts

207 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
✓	1.3b	(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3)))
✓	1.0b	(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
✓	1.3b	(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
✓	0.4b	(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
✓	1.3b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
✓	3.7b	(.f64 4/3 (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) -8) (PI.f64)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 5 (/.f64 -1 (PI.f64))) (/.f64 -4 (PI.f64))))))

Compiler

Compiled 108 to 94 computations (13% saved)

regimes18.0ms (0.3%)

Accuracy

Total -3.4b remaining (-928.4%)

Threshold costs -3.4b (-928.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(/.f64 4 (.f64 3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 3)))
(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
(/.f64 4 (.f64 3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))))
(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (-.f64 1 (.f64 v v)))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(.f64 4/3 (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) -8) (PI.f64)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 5 (/.f64 -1 (PI.f64))) (/.f64 -4 (PI.f64))))))

Outputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))

Calls

4 calls:

7.0ms	v
3.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
2.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Results

Error	Segments	Branch
0.4b	1	`v`
0.4b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0.4b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0.4b	1	`(*.f64 v v)`

Compiler

Compiled 210 to 158 computations (24.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 14 computations (0% saved)

soundness13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

56×	`rational_best-simplify-2`
34×	`rational_best-simplify-44`
2×	`rational_best-simplify-22`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	27	61
2	37	61
3	53	61
4	71	61
5	75	61

Stop Event

1×

saturated

Compiler

Compiled 101 to 70 computations (30.7% saved)

end20.0ms (0.3%)

Compiler: Compiled 13 to 12 computations (7.7% saved)

Iter	Nodes	Cost
0	21	116
1	135	116
2	194	116
3	248	116
4	310	116
5	380	116
6	484	116
7	730	116
8	933	116
9	952	116
10	964	116
11	991	116
12	991	116

Iter	Nodes	Cost
0	17	103
1	109	103
2	159	103
3	203	103
4	251	103
5	311	103
6	402	103
7	619	103
8	780	103
9	787	103

Iter	Nodes	Cost
0	17	80
1	110	80
2	159	80
3	186	80
4	206	80
5	229	80
6	248	80
7	288	80
8	312	80
9	320	80
10	345	80
11	360	80
12	375	80
13	379	80

Iter	Nodes	Cost
0	17	110
1	111	110
2	158	110
3	178	110
4	185	110
5	192	110
6	198	110
7	216	110
8	228	110
9	245	110
10	274	110
11	310	110
12	359	110
13	370	110
14	372	110

Iter	Nodes	Cost
0	21	116
1	135	116
2	194	116
3	248	116
4	310	116
5	380	116
6	484	116
7	730	116
8	933	116
9	952	116
10	964	116
11	991	116
12	991	116

Iter	Nodes	Cost
0	17	103
1	109	103
2	159	103
3	203	103
4	251	103
5	311	103
6	402	103
7	619	103
8	780	103
9	787	103

Iter	Nodes	Cost
0	17	80
1	110	80
2	159	80
3	186	80
4	206	80
5	229	80
6	248	80
7	288	80
8	312	80
9	320	80
10	345	80
11	360	80
12	375	80
13	379	80

Iter	Nodes	Cost
0	17	110
1	111	110
2	158	110
3	178	110
4	185	110
5	192	110
6	198	110
7	216	110
8	228	110
9	245	110
10	274	110
11	310	110
12	359	110
13	370	110
14	372	110

Details

analyze4.0ms (0.1%)

sample1.6s (23.5%)

preprocess6.0ms (0.1%)

simplify13.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize34.0ms (0.5%)

series7.0ms (0.1%)

rewrite53.0ms (0.8%)

simplify492.0ms (7.2%)

localize34.0ms (0.5%)

series3.0ms (0%)

rewrite50.0ms (0.7%)

simplify312.0ms (4.5%)

eval530.0ms (7.7%)

prune57.0ms (0.8%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite83.0ms (1.2%)

simplify157.0ms (2.3%)

localize11.0ms (0.2%)

series0.0ms (0%)

rewrite13.0ms (0.2%)

simplify16.0ms (0.2%)

localize32.0ms (0.5%)

series4.0ms (0.1%)

rewrite225.0ms (3.3%)

simplify313.0ms (4.5%)

localize21.0ms (0.3%)

series3.0ms (0%)

rewrite36.0ms (0.5%)

simplify559.0ms (8.1%)

eval231.0ms (3.4%)

prune62.0ms (0.9%)

localize36.0ms (0.5%)

series0.0ms (0%)

rewrite117.0ms (1.7%)

simplify261.0ms (3.8%)

localize8.0ms (0.1%)

localize23.0ms (0.3%)

series3.0ms (0%)

rewrite30.0ms (0.4%)

simplify216.0ms (3.1%)

eval538.0ms (7.8%)

prune116.0ms (1.7%)

localize25.0ms (0.4%)

series3.0ms (0%)

rewrite34.0ms (0.5%)

simplify299.0ms (4.3%)

eval100.0ms (1.4%)

prune27.0ms (0.4%)

regimes18.0ms (0.3%)

simplify2.0ms (0%)

soundness13.0ms (0.2%)

end20.0ms (0.3%)

Profiling

Iter	Nodes	Cost
0	21	116
1	135	116
2	194	116
3	248	116
4	310	116
5	380	116
6	484	116
7	730	116
8	933	116
9	952	116
10	964	116
11	991	116
12	991	116

Iter	Nodes	Cost
0	17	103
1	109	103
2	159	103
3	203	103
4	251	103
5	311	103
6	402	103
7	619	103
8	780	103
9	787	103

Iter	Nodes	Cost
0	17	80
1	110	80
2	159	80
3	186	80
4	206	80
5	229	80
6	248	80
7	288	80
8	312	80
9	320	80
10	345	80
11	360	80
12	375	80
13	379	80

Iter	Nodes	Cost
0	17	110
1	111	110
2	158	110
3	178	110
4	185	110
5	192	110
6	198	110
7	216	110
8	228	110
9	245	110
10	274	110
11	310	110
12	359	110
13	370	110
14	372	110