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)

sample2.1s (25.8%)

Results

2.1s	8256×	body	256	valid
1.0ms	12×	body	256	invalid

Bogosity

preprocess125.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

934×	`rational.json-simplify-2`
882×	`rational.json-simplify-59`
842×	`rational.json-simplify-44`
790×	`rational.json-simplify-51`
784×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	33	61
2	64	55
3	157	55
4	602	55
5	3327	55
6	5707	55
7	7028	55
8	7923	55
0	1	1

Stop Event

1×	saturated
1×	node limit

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

934×	`rational.json-simplify-2`
882×	`rational.json-simplify-59`
842×	`rational.json-simplify-44`
790×	`rational.json-simplify-51`
784×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	33	61
2	64	55
3	157	55
4	602	55
5	3327	55
6	5707	55
7	7028	55
8	7923	55

Stop Event

1×	node limit

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

eval1.0ms (0%)

Compiler: Compiled 79 to 56 computations (29.1% 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

0.0b

Counts

5 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.0b

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

▶

0.0b

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

Compiler

Compiled 40 to 32 computations (20% saved)

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
✓	0.0b	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))))
✓	0.1b	(.f64 v (.f64 v 6))

Compiler

Compiled 82 to 54 computations (34.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(/.f64 (/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
1.0ms	v	@	0	(/.f64 (/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
1.0ms	v	@	inf	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))))
0.0ms	v	@	-inf	(/.f64 (/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
0.0ms	v	@	0	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))))

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`exponential.json-3`
1874×	`rational.json-1`
1874×	`rational.json-2`
1874×	`rational.json-4`
1874×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	152	95
2	370	95
3	1306	95
4	4863	95

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify180.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1202×	`rational.json-simplify-35`
1066×	`rational.json-simplify-44`
876×	`rational.json-simplify-1`
804×	`rational.json-simplify-47`
750×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	6041
1	718	5933
2	1752	5853
3	5258	5853
4	6827	5853
5	7932	5853

Stop Event

1×	node limit

Counts

101 → 174

Calls

Call 1

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

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

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
	0.1b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 4/3 (PI.f64))

Compiler

Compiled 68 to 44 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`exponential.json-3`
1752×	`rational.json-1`
1752×	`rational.json-2`
1752×	`rational.json-4`
1752×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	146	64
2	424	64
3	1582	64
4	5385	64

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

simplify191.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1674×	`rational.json-simplify-51`
1378×	`rational.json-simplify-35`
878×	`rational.json-simplify-43`
778×	`rational.json-simplify-2`
700×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	297	6385
1	770	6313
2	1954	6259
3	4790	6223
4	7455	6223

Stop Event

1×	node limit

Counts

97 → 160

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

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 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.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 3/4 (/.f64 1 (.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 (.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 (.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 (pow.f64 v 4) (.f64 4/3 (+.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 (.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 4) (+.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 3/4 (/.f64 1 (.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)))))))))
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(.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 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 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 (pow.f64 v 4) (+.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 3/4 (/.f64 1 (.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 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(+.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 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3)))) (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3)))) (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3)))) (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.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 -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))))))
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(.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 -8/3 (.f64 (+.f64 -1 (.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (/.f64 -8/3 (.f64 (PI.f64) (+.f64 -1 (.f64 v v)))) 1/2))
(.f64 1/2 (/.f64 (/.f64 -8/3 (.f64 (PI.f64) (+.f64 -1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (/.f64 -4/3 (+.f64 (*.f64 v v) -1)))
(/.f64 (/.f64 -4/3 (+.f64 -1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 (+.f64 -1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 -4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 (.f64 v v) -1)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) -1)
(/.f64 (/.f64 -4/3 (+.f64 -1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 (+.f64 -1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 -4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))
(.f64 (/.f64 1/2 (-.f64 1 (.f64 v v))) (/.f64 8/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(.f64 (/.f64 1/2 (-.f64 1 (.f64 v v))) (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(.f64 (/.f64 -1/2 (+.f64 -1 (.f64 v v))) (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(.f64 (/.f64 1 (+.f64 (.f64 v v) -1)) (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 -4/3 (+.f64 -1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 (+.f64 -1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 -4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))
(.f64 (/.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (*.f64 v v)) 2)))
(.f64 (/.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 (/.f64 4/3 (PI.f64)) (.f64 2 (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 (/.f64 2/3 (PI.f64)) (-.f64 1 (.f64 v v))))
(/.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (/.f64 2/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (-.f64 1 (.f64 v v))) (*.f64 (/.f64 4/3 (PI.f64)) 2))
(/.f64 (/.f64 -4/3 (+.f64 -1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 (+.f64 -1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 -4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))
(.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 (/.f64 -8/3 (+.f64 (.f64 v v) -1)) (PI.f64)))
(.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 -8/3 (.f64 (+.f64 -1 (*.f64 v v)) (PI.f64))))
(.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 -8/3 (.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (+.f64 (.f64 v v) -1)) (/.f64 -4/3 (PI.f64)))
(/.f64 (/.f64 -4/3 (+.f64 -1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 (+.f64 -1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 -4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))
(.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 (.f64 v v) -1)))
(/.f64 (/.f64 -4/3 (+.f64 -1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 (+.f64 -1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 -4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))
(pow.f64 (/.f64 (/.f64 -4/3 (+.f64 (.f64 v v) -1)) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1)
(/.f64 (/.f64 -4/3 (+.f64 -1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 (+.f64 -1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 -4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))
(neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 (.f64 v v) -1)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 -4/3 (+.f64 -1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 (+.f64 -1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 -4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (+.f64 -1 (*.f64 v v)))))

eval244.0ms (3%)

Compiler: Compiled 12141 to 9783 computations (19.4% saved)

prune47.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	341	4	345
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	342	5	347

Error

Counts

347 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
▶	0.0b	(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
▶	0.5b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
▶	0.0b	(.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 6 v)))))))
▶	1.5b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 81 to 67 computations (17.3% saved)

localize10.0ms (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

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`rational.json-1`
1200×	`rational.json-2`
1200×	`rational.json-4`
1200×	`rational.json-3`
1192×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	53	13
2	128	13
3	300	13
4	764	13
5	3238	13

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

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

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational.json-simplify-2`
898×	`rational.json-simplify-55`
668×	`rational.json-simplify-44`
656×	`rational.json-simplify-61`
642×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1380
1	343	1340
2	914	1224
3	3443	1224
4	7061	1224

Stop Event

1×	node limit

Counts

78 → 93

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 0 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))) (.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(-.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(-.f64 0 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 1/2 (.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (sqrt.f64 1/2) (.f64 1/2 (/.f64 2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (PI.f64) (/.f64 (/.f64 1 (sqrt.f64 1/2)) (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(/.f64 (sqrt.f64 1/2) (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 (sqrt.f64 1/2) 2) (/.f64 1/2 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) 2) (+.f64 (/.f64 2 (.f64 (PI.f64) 8)) (/.f64 2 (.f64 (PI.f64) 8))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 2 (.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64))) 1/2)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) 4) (/.f64 2 (*.f64 (PI.f64) 8)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) 4) (*.f64 (/.f64 1 (PI.f64)) 1/4))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) 4) (*.f64 1/2 (/.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 1 (/.f64 1 (sqrt.f64 1/2))))
(/.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 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 1 (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 1 (.f64 (PI.f64) (.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))))
(.f64 2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2))))))
(.f64 2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (/.f64 2 (sqrt.f64 1/2))) (/.f64 (PI.f64) (sqrt.f64 1/2)))))
(.f64 (.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64)))
(.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (.f64 2 (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64))))
(.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (PI.f64) (/.f64 1/2 (PI.f64)))))
(.f64 (.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(.f64 2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2))))))
(.f64 2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (/.f64 2 (sqrt.f64 1/2))) (/.f64 (PI.f64) (sqrt.f64 1/2)))))
(.f64 (.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64)))
(.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (.f64 2 (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64))))
(.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (PI.f64) (/.f64 1/2 (PI.f64)))))
(.f64 4 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) 4)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 4 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 4 (.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 1/2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4) 1/4)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) 8) (/.f64 1 (*.f64 (PI.f64) 8)))
(.f64 8 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (PI.f64))))
(.f64 (sqrt.f64 1/2) (.f64 8 (/.f64 1/8 (PI.f64))))
(.f64 (.f64 (sqrt.f64 1/2) 8) (*.f64 1/4 (/.f64 1/2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 (sqrt.f64 1/2) 2))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 (PI.f64) (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) -2) (/.f64 -1/2 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) -2) (/.f64 1 (*.f64 (PI.f64) -2)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) -2) (*.f64 -1 (/.f64 1/2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 8 (.f64 (/.f64 (sqrt.f64 1/2) 4) (/.f64 1/2 (PI.f64))))
(.f64 8 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 (sqrt.f64 1/2) 4)))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 8 (/.f64 (sqrt.f64 1/2) 4)))
(.f64 (/.f64 (sqrt.f64 1/2) 4) (.f64 (/.f64 1/2 (PI.f64)) 8))
(.f64 8 (/.f64 (/.f64 1/2 (PI.f64)) (.f64 (sqrt.f64 1/2) 8)))
(.f64 -2 (.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1/2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) 4) (.f64 1/8 (/.f64 1/2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 2 (/.f64 1 (PI.f64))) (*.f64 1/2 (sqrt.f64 1/2)))
(/.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 1/2 (sqrt.f64 1/2)) (/.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))) 2)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(.f64 (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (PI.f64) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)))))
(.f64 1/2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (*.f64 (PI.f64) (/.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (.f64 1/2 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))))
(.f64 (/.f64 2 (PI.f64)) (.f64 1/2 (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 1/4 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 2 (.f64 (PI.f64) 8)) (*.f64 (sqrt.f64 1/2) 4))
(/.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 1/2 (sqrt.f64 1/2)) (*.f64 2 (/.f64 1 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 1/2 (sqrt.f64 1/2)) (/.f64 2 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 -1 (sqrt.f64 1/2)) (/.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (neg.f64 (sqrt.f64 1/2)) 4) (*.f64 -1/2 (/.f64 1/2 (PI.f64))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 1/2 (/.f64 2 (PI.f64))) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/4) (*.f64 (sqrt.f64 1/2) 4))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (.f64 1/2 (/.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 1/2) 4))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 1/2))) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 (PI.f64) (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 1 (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1 (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 1/2 (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 2 (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))))
(.f64 (.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (PI.f64) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)))))
(.f64 1/2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (*.f64 (PI.f64) (/.f64 (PI.f64) 1/2)))))
(.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (.f64 1/2 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))))
(.f64 (/.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 -1 (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (PI.f64))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1 (.f64 (PI.f64) (.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))))
(.f64 2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2))))))
(.f64 2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (/.f64 2 (sqrt.f64 1/2))) (/.f64 (PI.f64) (sqrt.f64 1/2)))))
(.f64 (.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64)))
(.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (.f64 2 (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64))))
(.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (PI.f64) (/.f64 1/2 (PI.f64)))))
(.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) 4)) 4)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 -1/2 (PI.f64)) (.f64 (sqrt.f64 1/2) -2))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1/2 (.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))))
(.f64 2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2))))))
(.f64 2 (.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (/.f64 2 (sqrt.f64 1/2))) (/.f64 (PI.f64) (sqrt.f64 1/2)))))
(.f64 (.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64)))
(.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (.f64 2 (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64))))
(.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (PI.f64) (/.f64 1/2 (PI.f64)))))
(.f64 (/.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (/.f64 2 (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4) 4)
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (/.f64 1 (.f64 (PI.f64) 8)) (*.f64 (sqrt.f64 1/2) 8))
(.f64 (.f64 (sqrt.f64 1/2) 8) (/.f64 1 (*.f64 (PI.f64) 8)))
(.f64 8 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (PI.f64))))
(.f64 (sqrt.f64 1/2) (.f64 8 (/.f64 1/8 (PI.f64))))
(.f64 (/.f64 1 (.f64 (PI.f64) -2)) (*.f64 (sqrt.f64 1/2) -2))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) 8)) (/.f64 2 (.f64 (PI.f64) 8))) (.f64 (sqrt.f64 1/2) 2))
(/.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))
(neg.f64 (/.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(/.f64 (sqrt.f64 1/2) (PI.f64))

localize35.0ms (0.4%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

(*.f64 v (*.f64 6 v))

✓

1.0b

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

✓

1.0b

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

Compiler

Compiled 92 to 62 computations (32.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite111.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	121
1	150	121
2	321	121
3	855	121
4	3096	115

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs

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

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

(*.f64 v (*.f64 6 v))

Outputs

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

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

simplify382.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1796×	`rational.json-simplify-35`
1136×	`rational.json-simplify-44`
946×	`rational.json-simplify-47`
902×	`rational.json-simplify-41`
708×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	13116
1	1965	12888
2	6638	12884

Stop Event

1×	node limit

Counts

202 → 282

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 1/2))
(+.f64 (.f64 1/3 (sqrt.f64 1/2)) (.f64 1/3 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (.f64 1/3 (sqrt.f64 1/2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (.f64 1/3 (.f64 (pow.f64 v 4) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))))))))
(+.f64 (.f64 1/3 (sqrt.f64 1/2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (+.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)))) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))))) (pow.f64 v 6))) (.f64 1/3 (.f64 (pow.f64 v 4) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))))))))
(*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))
(+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (.f64 1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6))) (pow.f64 v 5))))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6)))) (pow.f64 v 7))) (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (.f64 1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6))) (pow.f64 v 5)))))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6)))) (pow.f64 v 7))) (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6))) (pow.f64 v 5))) (.f64 1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (+.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)))) (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6))))) (pow.f64 v 9))))))
(*.f64 1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))
(+.f64 (.f64 1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (.f64 -1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6))) (pow.f64 v 5))))
(+.f64 (.f64 1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6))) (pow.f64 v 5))) (.f64 -1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6)))) (pow.f64 v 7)))))
(+.f64 (.f64 1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (+.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)))) (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6))))) (pow.f64 v 9))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6))) (pow.f64 v 5))) (.f64 -1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6)))) (pow.f64 v 7))))))
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(/.f64 (/.f64 (.f64 2 (/.f64 -1/3 (+.f64 (.f64 v v) -1))) (.f64 (PI.f64) 1/4)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4)) (-.f64 1 (.f64 v v)))
(/.f64 (/.f64 -1/3 (.f64 (PI.f64) 1/4)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (/.f64 -1/3 (.f64 (PI.f64) 1/4)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 (*.f64 v v) -1)))
(/.f64 (/.f64 (/.f64 1/3 (+.f64 (.f64 v v) -1)) (.f64 (PI.f64) 1/4)) (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 -2/3 (.f64 (PI.f64) 1/4)) (.f64 2 (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 (/.f64 -2/3 (.f64 (PI.f64) 1/4)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 (/.f64 (.f64 (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 4) (.f64 (PI.f64) 1/4)) 4)
(/.f64 (/.f64 8/3 (.f64 (PI.f64) 1/4)) (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 4))
(/.f64 (/.f64 (.f64 4 (/.f64 -1/3 (+.f64 (.f64 v v) -1))) (.f64 (PI.f64) 1/4)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4))
(/.f64 (/.f64 (.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (PI.f64) 1/4)) (.f64 (-.f64 1 (.f64 v v)) 2))
(/.f64 (/.f64 (.f64 (/.f64 -1/3 (+.f64 (.f64 v v) -1)) -2) (.f64 (PI.f64) 1/4)) (.f64 2 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4)) (/.f64 (+.f64 (.f64 v v) -1) -1/3))
(/.f64 (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4)) (.f64 (-.f64 1 (*.f64 v v)) 2))
(/.f64 (/.f64 (/.f64 -1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4)) (+.f64 (.f64 v v) -1))
(/.f64 (/.f64 (/.f64 -2/3 (+.f64 (.f64 v v) -1)) (.f64 (PI.f64) 1/4)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (PI.f64) 1/4)) (+.f64 (.f64 v v) -1))
(/.f64 (/.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))) (PI.f64))
(/.f64 (/.f64 8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))) (*.f64 2 (PI.f64)))
(/.f64 (/.f64 16 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))) (*.f64 4 (PI.f64)))
(/.f64 (/.f64 -4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 4 (/.f64 4 (PI.f64))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (*.f64 v v) -1) -1/3))) 4)
(/.f64 (/.f64 32 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))) (*.f64 (PI.f64) 8))
(/.f64 (/.f64 -8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))) (*.f64 2 (neg.f64 (PI.f64))))
(/.f64 (/.f64 -8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))) (neg.f64 (*.f64 2 (PI.f64))))
(/.f64 (/.f64 (/.f64 8 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))) 2)
(/.f64 (/.f64 (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (PI.f64)) 1/4)
(/.f64 (/.f64 (/.f64 4 (PI.f64)) (-.f64 1 (.f64 v v))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3))
(/.f64 (/.f64 (/.f64 4 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 3)
(/.f64 (neg.f64 (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (/.f64 4 (PI.f64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3))))
(/.f64 (neg.f64 (.f64 2 (/.f64 4 (PI.f64)))) (-.f64 0 (.f64 (-.f64 1 (.f64 v v)) (.f64 6 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 (neg.f64 (.f64 2 (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (neg.f64 (.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (/.f64 8 (PI.f64))) (-.f64 0 (.f64 (-.f64 1 (.f64 v v)) (.f64 6 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))))
(/.f64 (neg.f64 (.f64 (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 4)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 1/3 (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (neg.f64 (/.f64 2/3 (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 (neg.f64 (/.f64 (/.f64 -1/3 (+.f64 (.f64 v v) -1)) (.f64 (PI.f64) 1/4))) (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (neg.f64 (/.f64 4/3 (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4))))
(/.f64 (neg.f64 (/.f64 (.f64 2 (/.f64 -1/3 (+.f64 (.f64 v v) -1))) (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 (neg.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4))) (+.f64 (.f64 v v) -1))
(/.f64 (neg.f64 (/.f64 -1/3 (.f64 (PI.f64) 1/4))) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (neg.f64 (/.f64 -1/3 (.f64 (PI.f64) 1/4))) (-.f64 0 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (+.f64 (*.f64 v v) -1))))
(/.f64 (neg.f64 (/.f64 (/.f64 1/3 (+.f64 (.f64 v v) -1)) (.f64 (PI.f64) 1/4))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (neg.f64 (/.f64 -2/3 (.f64 (PI.f64) 1/4))) (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 (neg.f64 (/.f64 -2/3 (.f64 (PI.f64) 1/4))) (-.f64 0 (.f64 2 (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))))
(/.f64 (neg.f64 (/.f64 -2/3 (.f64 (PI.f64) 1/4))) (-.f64 0 (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))))
(/.f64 (neg.f64 (/.f64 8/3 (.f64 (PI.f64) 1/4))) (-.f64 0 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 4)))
(/.f64 (neg.f64 (/.f64 (.f64 4 (/.f64 -1/3 (+.f64 (.f64 v v) -1))) (.f64 (PI.f64) 1/4))) (-.f64 0 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)))
(/.f64 (neg.f64 (/.f64 (.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 -1/3 (+.f64 (.f64 v v) -1)) -2) (.f64 (PI.f64) 1/4))) (-.f64 0 (.f64 2 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4))) (neg.f64 (/.f64 (+.f64 (.f64 v v) -1) -1/3)))
(/.f64 (neg.f64 (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 (-.f64 1 (*.f64 v v)) 2)))
(/.f64 (neg.f64 (/.f64 (/.f64 -1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4))) (-.f64 1 (.f64 v v)))
(/.f64 (neg.f64 (/.f64 (/.f64 -2/3 (+.f64 (.f64 v v) -1)) (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (PI.f64) 1/4))) (-.f64 1 (.f64 v v)))
(/.f64 (neg.f64 (/.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (neg.f64 (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (neg.f64 (*.f64 2 (PI.f64))))
(/.f64 (neg.f64 (/.f64 16 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (neg.f64 (*.f64 4 (PI.f64))))
(/.f64 (neg.f64 (/.f64 -4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (PI.f64))
(/.f64 (neg.f64 (/.f64 32 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (-.f64 0 (*.f64 (PI.f64) 8)))
(/.f64 (neg.f64 (/.f64 -8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (*.f64 2 (PI.f64)))
(/.f64 (neg.f64 (/.f64 -8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (-.f64 0 (*.f64 2 (neg.f64 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 -8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (-.f64 0 (neg.f64 (*.f64 2 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (PI.f64)) (-.f64 1 (.f64 v v)))) (-.f64 0 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3)))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (neg.f64 (/.f64 (+.f64 (*.f64 v v) -1) -1/3)))
(/.f64 (neg.f64 (neg.f64 (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))
(pow.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (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 (.f64 v (.f64 v 6)) 1)
(/.f64 (.f64 v (.f64 v 12)) 2)
(/.f64 (.f64 (.f64 v v) 24) 4)
(/.f64 (.f64 6 (fabs.f64 v)) (/.f64 (fabs.f64 v) (.f64 v v)))
(/.f64 (.f64 2 (.f64 (*.f64 v v) 24)) 8)
(pow.f64 (.f64 v (.f64 v 6)) 1)

Outputs
(*.f64 1/3 (sqrt.f64 1/2))
(+.f64 (.f64 1/3 (sqrt.f64 1/2)) (.f64 1/3 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))
(.f64 1/3 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (sqrt.f64 1/2)))
(.f64 1/3 (+.f64 (sqrt.f64 1/2) (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (.f64 1/3 (sqrt.f64 1/2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (.f64 1/3 (.f64 (pow.f64 v 4) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))))))))
(+.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (.f64 (pow.f64 v 4) 1/3)) (.f64 1/3 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (sqrt.f64 1/2))))
(+.f64 (.f64 1/3 (+.f64 (sqrt.f64 1/2) (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 4) 1/3)))
(+.f64 (.f64 1/3 (sqrt.f64 1/2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (+.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)))) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))))) (pow.f64 v 6))) (.f64 1/3 (.f64 (pow.f64 v 4) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))))))))
(+.f64 (.f64 1/3 (sqrt.f64 1/2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 v 4) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))))) (.f64 (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (sqrt.f64 1/2)))))) (.f64 (pow.f64 v 6) 1/3)))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/2 (+.f64 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (sqrt.f64 1/2)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (pow.f64 v 6)))) (.f64 1/3 (+.f64 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (sqrt.f64 1/2))))
(+.f64 (.f64 1/3 (+.f64 (sqrt.f64 1/2) (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 1/2) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))) (.f64 1/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (sqrt.f64 1/2)))))) (pow.f64 v 6)))))
(*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))
(+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (.f64 1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (.f64 -1 (sqrt.f64 -1/6))) (pow.f64 v 5))))
(+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (.f64 1/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6))) (.f64 (sqrt.f64 -1/6) -1)) (pow.f64 v 5))))
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(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 -2/3 (.f64 (PI.f64) 1/4))) (-.f64 0 (.f64 2 (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 -2/3 (.f64 (PI.f64) 1/4))) (-.f64 0 (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 8/3 (.f64 (PI.f64) 1/4))) (-.f64 0 (.f64 (.f64 (-.f64 1 (.f64 v v)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 4)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (.f64 4 (/.f64 -1/3 (+.f64 (.f64 v v) -1))) (.f64 (PI.f64) 1/4))) (-.f64 0 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) 2)))
(/.f64 (neg.f64 (.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 2 (.f64 (PI.f64) 1/4)))) (neg.f64 (.f64 2 (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 (/.f64 8 (PI.f64)) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (-.f64 1 (*.f64 v v)) -2))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 -1/3 (+.f64 (.f64 v v) -1)) -2) (.f64 (PI.f64) 1/4))) (-.f64 0 (.f64 2 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4))) (neg.f64 (/.f64 (+.f64 (.f64 v v) -1) -1/3)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 (-.f64 1 (*.f64 v v)) 2)))
(/.f64 (neg.f64 (/.f64 2/3 (.f64 (PI.f64) (.f64 1/4 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (neg.f64 (.f64 2 (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (/.f64 -8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (-.f64 1 (.f64 v v)) -2))
(/.f64 (neg.f64 (/.f64 (/.f64 -1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4))) (-.f64 1 (.f64 v v)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (/.f64 -2/3 (+.f64 (.f64 v v) -1)) (.f64 (PI.f64) 1/4))) (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (PI.f64) 1/4))) (-.f64 1 (.f64 v v)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (neg.f64 (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (/.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 -1 (.f64 v v)) -1/3)))) (neg.f64 (*.f64 1/2 (PI.f64))))
(/.f64 (/.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 -1 (.f64 v v)) 1/3))) (*.f64 (PI.f64) -1/2))
(/.f64 (neg.f64 (/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (neg.f64 (*.f64 2 (PI.f64))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 16 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (neg.f64 (*.f64 4 (PI.f64))))
(/.f64 (neg.f64 (/.f64 16 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 -1 (.f64 v v)) -1/3)))) (neg.f64 (*.f64 4 (PI.f64))))
(/.f64 (/.f64 16 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 -1 (.f64 v v)) 1/3))) (*.f64 (PI.f64) -4))
(/.f64 (neg.f64 (/.f64 -4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (PI.f64))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 32 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (-.f64 0 (*.f64 (PI.f64) 8)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 -8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (*.f64 2 (PI.f64)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 -8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (-.f64 0 (*.f64 2 (neg.f64 (PI.f64)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 -8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))) (-.f64 0 (neg.f64 (*.f64 2 (PI.f64)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (PI.f64)) (-.f64 1 (.f64 v v)))) (-.f64 0 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (neg.f64 (/.f64 (+.f64 (*.f64 v v) -1) -1/3)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 (+.f64 (.f64 v v) -1) -1/3)))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(pow.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))) 1)
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.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 (.f64 v (.f64 v 6)) 1)
(.f64 v (.f64 v 6))
(/.f64 (.f64 v (.f64 v 12)) 2)
(.f64 (.f64 v 12) (/.f64 v 2))
(/.f64 (.f64 (.f64 v v) 24) 4)
(.f64 24 (/.f64 (.f64 v v) 4))
(.f64 (.f64 v v) 6)
(/.f64 (.f64 6 (fabs.f64 v)) (/.f64 (fabs.f64 v) (.f64 v v)))
(.f64 (fabs.f64 v) (/.f64 6 (/.f64 (fabs.f64 v) (.f64 v v))))
(.f64 6 (/.f64 (fabs.f64 v) (/.f64 (fabs.f64 v) (.f64 v v))))
(.f64 6 (fabs.f64 (/.f64 v (/.f64 v (.f64 v v)))))
(/.f64 (.f64 2 (.f64 (*.f64 v v) 24)) 8)
(.f64 24 (/.f64 (.f64 v v) 4))
(.f64 (.f64 v v) 6)
(pow.f64 (.f64 v (.f64 v 6)) 1)
(.f64 v (.f64 v 6))

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
	0.1b	(.f64 v (.f64 v 6))
	1.0b	(/.f64 4/3 (PI.f64))

Compiler

Compiled 44 to 32 computations (27.3% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite102.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`rational.json-1`
1458×	`rational.json-2`
1458×	`rational.json-4`
1458×	`rational.json-3`
1438×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	105	37
2	255	37
3	712	37
4	2259	37
5	5507	37

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify163.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational.json-simplify-35`
980×	`rational.json-simplify-2`
900×	`rational.json-simplify-50`
784×	`rational.json-simplify-51`
780×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	2899
1	371	2881
2	753	2881
3	1536	2881
4	3823	2881
5	5433	2881
6	6333	2881
7	7437	2881

Stop Event

1×	node limit

Counts

55 → 93

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

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

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
	0.1b	(.f64 v (.f64 6 v))
	1.0b	(/.f64 4/3 (PI.f64))

Compiler

Compiled 73 to 48 computations (34.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite140.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`rational.json-simplify-51`
828×	`rational.json-simplify-61`
806×	`rational.json-simplify-53`
790×	`rational.json-simplify-35`
770×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	140	55
2	354	55
3	1241	55
4	5601	55

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify134.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational.json-simplify-41`
1176×	`rational.json-simplify-2`
1164×	`rational.json-simplify-44`
1114×	`rational.json-simplify-50`
1112×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	4901
1	595	4841
2	1443	4805
3	4375	4775
4	7234	4775

Stop Event

1×	node limit

Counts

59 → 115

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

eval408.0ms (5%)

Compiler: Compiled 19121 to 15648 computations (18.2% saved)

prune187.0ms (2.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	640	4	644
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	640	9	649

Error

Counts

649 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
✓	0.0b	(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
✓	0.5b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
▶	0.5b	(/.f64 (+.f64 -1 (-.f64 1 (/.f64 -4/3 (PI.f64)))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
▶	0.5b	(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
▶	1.5b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))))
✓	0.0b	(.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 6 v)))))))
▶	0.5b	(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))
✓	1.5b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 143 to 121 computations (15.4% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
✓	1.0b	(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))

Compiler

Compiled 57 to 43 computations (24.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`rational.json-1`
1576×	`rational.json-2`
1576×	`rational.json-4`
1576×	`rational.json-3`
1566×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	120	66
2	241	66
3	554	66
4	1503	66
5	4743	66

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

Outputs

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

simplify137.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1822×	`rational.json-simplify-35`
1108×	`rational.json-simplify-44`
940×	`rational.json-simplify-47`
922×	`rational.json-simplify-51`
716×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	549	9684
1	1929	9602
2	6207	9572

Stop Event

1×	node limit

Counts

214 → 281

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 4/3 (sqrt.f64 1/2))
(+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))
(+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))))
(+.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))))) (sqrt.f64 1/2))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))) (+.f64 (.f64 4/3 (sqrt.f64 1/2)) (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) v))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) v)) (.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) v))) (.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) v)) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) v))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) v)) (.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
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(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (+.f64 (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) v)) (.f64 2/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))))))
(+.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (PI.f64))) 0)
(+.f64 0 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (PI.f64))))
(+.f64 (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64)) (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64)))
(-.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (PI.f64))) 0)
(/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (PI.f64)))
(/.f64 4/3 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 1 (PI.f64))))
(/.f64 4/3 (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))))
(/.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 2/3 (PI.f64))))
(/.f64 2 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/2)))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 (*.f64 (PI.f64) 1/2) 1/2))
(/.f64 1 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 3/4 (PI.f64))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 4/3 (PI.f64))))
(/.f64 (/.f64 1 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/4))
(/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 (/.f64 1 (PI.f64)) (/.f64 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) -4/3))
(/.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (PI.f64))) 1)
(/.f64 8/3 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (PI.f64))))
(/.f64 8/3 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 1/2 (PI.f64))))
(/.f64 8/3 (.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (/.f64 1 (PI.f64)))))
(/.f64 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 2)
(/.f64 4 (.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (/.f64 2/3 (PI.f64)))))
(/.f64 4 (/.f64 (.f64 2 (PI.f64)) (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 4 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 3/4 (*.f64 (PI.f64) 4))))
(/.f64 4 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 8) (/.f64 8/3 (PI.f64))))
(/.f64 (.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 2 (PI.f64)))
(/.f64 16/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 4)))
(/.f64 16/3 (.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (/.f64 1/2 (PI.f64)))))
(/.f64 (/.f64 2 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/2))
(/.f64 (/.f64 2 (PI.f64)) (/.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 1/2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 3/4 (*.f64 (PI.f64) 1/2))))
(/.f64 -4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))
(/.f64 -4/3 (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (PI.f64))))
(/.f64 -1 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 3/4 (neg.f64 (PI.f64)))))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 4/3 (PI.f64)))))
(/.f64 -1 (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 3/4 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/2) (.f64 (PI.f64) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 9/16)))))
(/.f64 8 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 3/4 (*.f64 (PI.f64) 8))))
(/.f64 8 (.f64 2 (/.f64 (.f64 2 (PI.f64)) (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 8 (.f64 2 (.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 2/3 (PI.f64))))))
(/.f64 8 (.f64 2 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 8) (/.f64 8/3 (PI.f64)))))
(/.f64 (.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 4) (.f64 (PI.f64) 4))
(/.f64 32/3 (.f64 (.f64 (PI.f64) 8) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 -8/3 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) -2)))
(/.f64 -8/3 (.f64 (PI.f64) (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 -8/3 (neg.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (PI.f64)))))
(/.f64 (.f64 2 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 4)
(/.f64 (.f64 2 (/.f64 2 (PI.f64))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3))
(/.f64 (.f64 2 (/.f64 2 (PI.f64))) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/2)))
(/.f64 -2 (.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/2) (neg.f64 (PI.f64))))
(/.f64 -2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 3/4 (neg.f64 (*.f64 2 (PI.f64))))))
(/.f64 -2 (neg.f64 (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (/.f64 2/3 (PI.f64)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 8/3 (PI.f64)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 8/3 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) -2)))
(/.f64 (/.f64 8/3 (PI.f64)) (neg.f64 (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))))
(/.f64 (/.f64 16/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 4))
(/.f64 (/.f64 -4/3 (PI.f64)) (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (neg.f64 (PI.f64)))
(/.f64 16 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 3/4 (.f64 (PI.f64) 8)))))
(/.f64 (.f64 2 (.f64 2 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) 8)
(/.f64 (.f64 2 (/.f64 16/3 (PI.f64))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 8))
(/.f64 (.f64 2 (/.f64 -4/3 (PI.f64))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) -2))
(/.f64 (.f64 2 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) (.f64 (PI.f64) -2))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/2)) (.f64 2 (.f64 (PI.f64) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 9/16))))))
(/.f64 (.f64 2 (.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 4)) (*.f64 (PI.f64) 8))
(/.f64 64/3 (.f64 2 (.f64 (.f64 (PI.f64) 8) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 -16/3 (.f64 2 (.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) -2))))
(/.f64 -16/3 (.f64 2 (.f64 (PI.f64) (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))))
(/.f64 -16/3 (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 4))))
(/.f64 (.f64 2 (.f64 2 (/.f64 2 (PI.f64)))) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3)))
(/.f64 -4 (.f64 2 (.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/2) (neg.f64 (PI.f64)))))
(/.f64 -4 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 3/4 (neg.f64 (.f64 2 (PI.f64)))))))
(/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 (PI.f64) 1/4)) 4)
(/.f64 (/.f64 32/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 8))
(/.f64 (/.f64 -8/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) -2))
(/.f64 (/.f64 -8/3 (PI.f64)) (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 2 (PI.f64)))
(/.f64 (/.f64 16/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 (PI.f64) 4))
(/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 32/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 (PI.f64) 8))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 8/3)) 4)
(/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 (PI.f64) -2))
(/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (neg.f64 (*.f64 2 (PI.f64))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/4) (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 9/16)))
(/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 3/4)
(/.f64 2/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 2/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 1/2))
(/.f64 (/.f64 2/3 (PI.f64)) (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 2))
(/.f64 -2/3 (.f64 (.f64 (PI.f64) 1/2) (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 (/.f64 -2/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) -1/2))
(/.f64 (/.f64 1/2 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/8))
(/.f64 (/.f64 1/2 (PI.f64)) (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 8/3))
(/.f64 (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64)) 1/2)
(/.f64 (neg.f64 (/.f64 1 (PI.f64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/4)))
(/.f64 (neg.f64 (.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) (neg.f64 (.f64 2 (PI.f64))))
(/.f64 (neg.f64 (/.f64 8/3 (PI.f64))) (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (neg.f64 (/.f64 16/3 (PI.f64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 4)))
(/.f64 (neg.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) (PI.f64))
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))) 16)
(/.f64 (.f64 2 (.f64 2 (/.f64 16/3 (PI.f64)))) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 8)))
(/.f64 (.f64 2 (.f64 2 (/.f64 -4/3 (PI.f64)))) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) -2)))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (.f64 2 (.f64 (PI.f64) -2)))
(/.f64 (.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (PI.f64) 1/4))) 8)
(/.f64 (.f64 2 (/.f64 32/3 (PI.f64))) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 8)))
(/.f64 (.f64 2 (/.f64 -8/3 (PI.f64))) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) -2)))
(/.f64 (.f64 2 (/.f64 -8/3 (PI.f64))) (.f64 2 (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))))
(/.f64 (.f64 2 (/.f64 8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (PI.f64) 4))
(/.f64 (.f64 2 (/.f64 16/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (PI.f64) 8))
(/.f64 (.f64 2 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 (PI.f64) -2))
(/.f64 (.f64 2 (/.f64 32/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 2 (*.f64 (PI.f64) 8)))
(/.f64 (.f64 2 (/.f64 (/.f64 2 (PI.f64)) (/.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 8/3))) 8)
(/.f64 (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 2 (*.f64 (PI.f64) -2)))
(/.f64 (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (.f64 2 (neg.f64 (*.f64 2 (PI.f64)))))
(/.f64 (.f64 2 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/4) (PI.f64))) (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 9/16))))
(/.f64 (.f64 2 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 3/2)
(/.f64 (.f64 2 (neg.f64 (/.f64 1 (PI.f64)))) (.f64 2 (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/4))))
(/.f64 (.f64 2 (neg.f64 (/.f64 8/3 (PI.f64)))) (.f64 2 (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))))
(/.f64 (.f64 2 (neg.f64 (/.f64 16/3 (PI.f64)))) (.f64 2 (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 4))))
(/.f64 (.f64 2 (neg.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (.f64 2 (PI.f64)))
(/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 4) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 (PI.f64) 4)) 1/4)
(/.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 3/2)
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 3/8)
(/.f64 (/.f64 (/.f64 1 (PI.f64)) 3/4) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 4)) 1/4)
(/.f64 (/.f64 (/.f64 16/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 4)
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) -1)
(/.f64 (/.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (PI.f64)) -1)
(/.f64 (/.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 4) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 (PI.f64) 4)) 1/2)
(/.f64 (/.f64 (/.f64 16/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64)) 4)
(/.f64 (/.f64 (/.f64 16/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 2 (PI.f64))) 2)
(/.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64)) -1)
(/.f64 (/.f64 (/.f64 32/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 2) (*.f64 (PI.f64) 4))
(/.f64 (/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 2) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/4) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 9/16))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/4) (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/4)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/4))
(/.f64 (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 2) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 2 (PI.f64))) 1/4)
(/.f64 (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 4) (/.f64 (PI.f64) 8))
(/.f64 (/.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 (PI.f64) 4)) 1/8)
(/.f64 (/.f64 (neg.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) 2) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 (neg.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) (*.f64 2 (PI.f64))) 1/2)
(/.f64 (/.f64 (neg.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) (*.f64 (PI.f64) 1/2)) 2)
(/.f64 (/.f64 (neg.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) 4) (*.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (neg.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) (*.f64 (PI.f64) 4)) 1/4)
(/.f64 (/.f64 (neg.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) 1/2) (*.f64 2 (PI.f64)))
(/.f64 (neg.f64 (/.f64 2 (PI.f64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/2)))
(/.f64 (neg.f64 (.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 4)) (neg.f64 (.f64 (PI.f64) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (.f64 2 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (neg.f64 (neg.f64 (.f64 2 (PI.f64)))))
(/.f64 (neg.f64 (.f64 2 (/.f64 16/3 (PI.f64)))) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 8)))
(/.f64 (neg.f64 (.f64 2 (/.f64 -4/3 (PI.f64)))) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) -2)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (neg.f64 (.f64 (PI.f64) -2)))
(/.f64 (neg.f64 (/.f64 32/3 (PI.f64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 8)))
(/.f64 (neg.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (neg.f64 (*.f64 2 (PI.f64))))
(/.f64 (neg.f64 (/.f64 16/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (neg.f64 (*.f64 (PI.f64) 4)))
(/.f64 (neg.f64 (/.f64 32/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (neg.f64 (*.f64 (PI.f64) 8)))
(/.f64 (neg.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (*.f64 2 (PI.f64)))
(/.f64 (neg.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (neg.f64 (*.f64 (PI.f64) -2)))
(/.f64 (neg.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (neg.f64 (neg.f64 (*.f64 2 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/4) (PI.f64))) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 9/16))))
(/.f64 (neg.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (neg.f64 (*.f64 (PI.f64) 1/2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/4))
(/.f64 (neg.f64 (neg.f64 (/.f64 8/3 (PI.f64)))) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 8/3 (PI.f64)))) (neg.f64 (neg.f64 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 16/3 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 4))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) (PI.f64))) 1)
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(neg.f64 (/.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64)))
(+.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 0)
(+.f64 0 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(+.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(-.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 0)
(-.f64 0 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(.f64 2 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 2 (.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1))
(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 1)
(.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1/2)
(.f64 1/2 (.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) -1)
(.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2)
(pow.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1)
(neg.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))

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

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
✓	1.0b	(/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
✓	1.0b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))))

Compiler

Compiled 83 to 64 computations (22.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational.json-1`
1606×	`rational.json-2`
1606×	`rational.json-4`
1606×	`rational.json-3`
1586×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	115
1	137	115
2	304	109
3	805	107
4	2461	107
5	6032	107

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify247.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1154×	`rational.json-simplify-2`
938×	`rational.json-simplify-44`
900×	`rational.json-simplify-47`
744×	`rational.json-simplify-35`
732×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	279	6872
1	611	6560
2	1331	6386
3	3822	6386
4	5241	6362
5	6958	6362
6	7944	6362

Stop Event

1×	node limit

Counts

116 → 186

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))))
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(+.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))))))
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(.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))))))
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(+.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 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.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 -4/3 (sqrt.f64 1/2))
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(+.f64 (.f64 -1 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.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))))) (sqrt.f64 1/2))) (+.f64 (.f64 -2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))) (*.f64 -4/3 (sqrt.f64 1/2)))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) v))
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(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) v))
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(-.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) v)) (.f64 -2/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
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(.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 -1 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(-.f64 (-.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1)
(-.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 0)
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(.f64 1 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
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(.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) -1)
(.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 1)
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(.f64 1/2 (.f64 2 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(.f64 (/.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 2) 2)
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) -1)
(/.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1)
(/.f64 (.f64 2 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))) 2)
(/.f64 (.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 4) 4)
(/.f64 (.f64 2 (.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 4)) 8)
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(pow.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1)
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(-.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 0)
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(.f64 (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1/4)
(.f64 1/2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) -1)
(.f64 1/4 (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2) 2)
(pow.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1)
(neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(+.f64 -1 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(+.f64 1 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(+.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 0)
(+.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(+.f64 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1)
(+.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (PI.f64))) (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (PI.f64))))
(+.f64 (/.f64 (/.f64 -8/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)) (/.f64 (/.f64 -8/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)))
(-.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 0)
(-.f64 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) -1)
(-.f64 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1)
(.f64 -1 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (PI.f64)))
(.f64 -1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 2 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (PI.f64))))
(.f64 2 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 1)
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 1/2 (PI.f64)))
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (/.f64 1 (PI.f64)) 1/2))
(.f64 (/.f64 -4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (PI.f64)) 1/2)
(.f64 (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (/.f64 2 (*.f64 (PI.f64) 8)))
(.f64 (/.f64 -8/3 (PI.f64)) (/.f64 1 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 1/2 (/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (PI.f64)))
(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64)))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64)))
(.f64 (/.f64 1/2 (PI.f64)) (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(.f64 (/.f64 1 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (/.f64 -8/3 (PI.f64)))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (PI.f64)) -1)
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) -1)
(.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (PI.f64))) 2)
(.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2) 2)
(.f64 (/.f64 2 (.f64 (PI.f64) 8)) (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(.f64 (/.f64 -1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))
(pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1)
(neg.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64)))
(neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))

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) (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 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 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) (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 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2))))))
(+.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 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 (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 (-.f64 9/2 (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 2/3 (+.f64 (.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (/.f64 (pow.f64 v 6) (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) (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 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2))) (.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (/.f64 (pow.f64 v 6) (PI.f64)) (sqrt.f64 1/2)))))))
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(.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 (PI.f64) (pow.f64 v 3))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 (/.f64 1 (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 (/.f64 1 (.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))))
(-.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 -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 (.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 (PI.f64) v))) (.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.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))))))
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(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.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 -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 -2/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6)) 1/162) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7)))))) (-.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 (.f64 -2/3 (+.f64 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6)) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (/.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 (/.f64 1 (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 (.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 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6)) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))))) (.f64 1/27 (/.f64 (/.f64 1 (.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6)))))
(.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 (PI.f64) (pow.f64 v 3))))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 (/.f64 1 (.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))) (.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)))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (.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 (.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 (.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)))
(+.f64 (.f64 1/27 (/.f64 (/.f64 1 (.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (.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 (.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 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.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))))))))
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(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 1/2)
(.f64 1/2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1/4)
(.f64 1/2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 1/2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) -1)
(+.f64 -1 (-.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(.f64 1/4 (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 1/2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2) 2)
(+.f64 -1 (-.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(pow.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1)
(+.f64 -1 (-.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(+.f64 -1 (-.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(+.f64 -1 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(+.f64 1 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(+.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 0)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(+.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(+.f64 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(+.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (PI.f64))) (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (PI.f64))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(+.f64 (/.f64 (/.f64 -8/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)) (/.f64 (/.f64 -8/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 4)))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(-.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 0)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(-.f64 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) -1)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(-.f64 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 -1 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 -1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 2 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (PI.f64))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 2 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 1)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 1/2 (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (/.f64 1 (PI.f64)) 1/2))
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 1/2 (/.f64 1 (PI.f64))))
(.f64 1/2 (.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 1 (PI.f64))))
(.f64 1/2 (/.f64 -8/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 -4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (PI.f64)) 1/2)
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 1/2 (/.f64 1 (PI.f64))))
(.f64 1/2 (.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 1 (PI.f64))))
(.f64 1/2 (/.f64 -8/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (/.f64 2 (*.f64 (PI.f64) 8)))
(.f64 2 (.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 2 (*.f64 (PI.f64) 8))))
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (/.f64 1/4 (PI.f64)) 2))
(.f64 2 (.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 1/4 (PI.f64))))
(.f64 (/.f64 -8/3 (PI.f64)) (/.f64 1 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 1/2 (/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (PI.f64)))
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 1/2 (/.f64 1 (PI.f64))))
(.f64 1/2 (.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 1 (PI.f64))))
(.f64 1/2 (/.f64 -8/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1/2 (PI.f64)) (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 1/2 (/.f64 1 (PI.f64))))
(.f64 1/2 (.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 1 (PI.f64))))
(.f64 1/2 (/.f64 -8/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 1 (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (/.f64 -8/3 (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (PI.f64)) -1)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) -1)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (PI.f64))) 2)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2) 2)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 2 (.f64 (PI.f64) 8)) (.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(.f64 2 (.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 2 (*.f64 (PI.f64) 8))))
(.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (/.f64 1/4 (PI.f64)) 2))
(.f64 2 (.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 1/4 (PI.f64))))
(.f64 (/.f64 -1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1)
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(neg.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 -4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
	0.1b	(.f64 v (.f64 v 6))

Compiler

Compiled 51 to 37 computations (27.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`rational.json-1`
1682×	`rational.json-2`
1682×	`rational.json-4`
1682×	`rational.json-3`
1680×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	101	37
2	221	37
3	581	37
4	1729	37
5	4979	37

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify142.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1862×	`rational.json-simplify-35`
1098×	`rational.json-simplify-41`
952×	`rational.json-simplify-2`
742×	`rational.json-simplify-53`
650×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	2284
1	327	2266
2	636	2266
3	1284	2266
4	2825	2266
5	5479	2266
6	6169	2266
7	7397	2266

Stop Event

1×	node limit

Counts

40 → 85

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

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) (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 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)))))))
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(+.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (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))))))
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(-.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))))))
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(+.f64 (+.f64 (.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 -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 (PI.f64) (pow.f64 v 7)))))) (-.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 (PI.f64) v))) (.f64 1/27 (/.f64 1 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))) (.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 (-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 -2/3 (+.f64 (/.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 (+.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 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (-.f64 (.f64 -2/3 (+.f64 (/.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 (+.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 (/.f64 1 (.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6)))))
(+.f64 (-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 (/.f64 1 (PI.f64)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (.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 -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 (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 (pow.f64 v 3) (sqrt.f64 -1/6))))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 (/.f64 1 (.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))) (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 (/.f64 1 (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)))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (.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 (.f64 1/27 (/.f64 1 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (.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 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (+.f64 (.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.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 (.f64 1/27 (/.f64 (/.f64 1 (.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (.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 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (+.f64 (.f64 1/27 (/.f64 (/.f64 1 (PI.f64)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (.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 (.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 (.f64 1/27 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))) (+.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 (PI.f64) (pow.f64 v 7))))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (.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 (.f64 1/27 (/.f64 1 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (.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 (+.f64 (.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3)) (.f64 2/3 (+.f64 (/.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 (+.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 (.f64 1/27 (/.f64 (/.f64 1 (.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))) (+.f64 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (.f64 2/3 (+.f64 (/.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 (+.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 (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3) (+.f64 (.f64 1/27 (/.f64 (/.f64 1 (PI.f64)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (.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 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 0)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(+.f64 0 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(+.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(-.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 0)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 2 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 2 (.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 1 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 2 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))) 1/2)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 2 (/.f64 4/3 (PI.f64))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 2 (/.f64 4/3 (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 1))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 2 (/.f64 4/3 (PI.f64))) (.f64 1/2 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (/.f64 1 (PI.f64)) 1))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -4/3 (PI.f64)) (.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 -1 (.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 1/2 (.f64 2 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) -1)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (/.f64 4/3 (PI.f64))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64)))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(pow.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) 1)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 -1 (-.f64 1 (/.f64 -4/3 (PI.f64)))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
	0.1b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 -4/3 (PI.f64))

Compiler

Compiled 62 to 48 computations (22.6% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`rational.json-1`
1652×	`rational.json-2`
1652×	`rational.json-4`
1652×	`rational.json-3`
1642×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	58
1	133	58
2	275	52
3	646	50
4	1566	50
5	4782	50

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1302×	`rational.json-simplify-35`
1268×	`rational.json-simplify-2`
862×	`rational.json-simplify-46`
848×	`rational.json-simplify-52`
706×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	217	3146
1	463	2968
2	1003	2968
3	2665	2968
4	6079	2968

Stop Event

1×	node limit

Counts

78 → 121

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

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) (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 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 (/.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 (/.f64 (pow.f64 v 2) (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 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)) (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 2/3 (/.f64 (/.f64 (pow.f64 v 4) (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 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 (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 (-.f64 9/2 (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 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (+.f64 (.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (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 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 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (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 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (/.f64 (pow.f64 v 6) (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 (-.f64 9/2 (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 (/.f64 (pow.f64 v 2) (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 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64))) (.f64 (-.f64 27/2 (.f64 3/4 (.f64 2 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))))) (/.f64 (/.f64 (pow.f64 v 6) (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 (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 (pow.f64 v 3) (sqrt.f64 -1/6))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/27 (/.f64 (/.f64 1 (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 (/.f64 (/.f64 1 (sqrt.f64 -1/6)) (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 -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 (.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 (.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 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))))
(+.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 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5))))) (.f64 1/27 (/.f64 (/.f64 1 (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 (.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 (/.f64 (/.f64 1 (sqrt.f64 -1/6)) (PI.f64)) (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 -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 -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 (PI.f64) (pow.f64 v 7)))))) (-.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 (.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 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (-.f64 (.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 (/.f64 1 (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 (.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 (/.f64 (/.f64 1 (sqrt.f64 -1/6)) (PI.f64)) (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 (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 (pow.f64 v 3) (sqrt.f64 -1/6))))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3))
(+.f64 (.f64 1/27 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 -1/6)) (PI.f64)) (pow.f64 v 3))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))
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(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(.f64 (/.f64 -4/3 (PI.f64)) (.f64 -1 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 (/.f64 -4/3 (PI.f64)) -2))
(/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (*.f64 (/.f64 -4/3 (PI.f64)) -2))
(/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) -1)
(/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(.f64 (/.f64 1 (.f64 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 (PI.f64) -3/2))) 2)
(/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(.f64 (/.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 8)) (*.f64 (/.f64 -4/3 (PI.f64)) -4))
(/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64)))
(/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(pow.f64 (/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1)
(/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (neg.f64 (/.f64 -4/3 (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))

eval621.0ms (7.6%)

Compiler: Compiled 18452 to 15564 computations (15.7% saved)

prune217.0ms (2.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	716	1	717
Fresh	0	0	0
Picked	1	0	1
Done	1	7	8
Total	718	8	726

Error

Counts

726 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 3/2)
✓	0.0b	(/.f64 (/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
✓	0.0b	(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
✓	0.5b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
✓	0.5b	(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
✓	1.5b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))))
✓	0.0b	(.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 6 v)))))))
✓	1.5b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 126 to 106 computations (15.9% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 3/2)
✓	0.0b	(/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
	0.1b	(.f64 v (.f64 v 6))

Compiler

Compiled 58 to 43 computations (25.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`exponential.json-3`
1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`
1380×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	80
1	119	74
2	343	74
3	1141	74
4	4536	74

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 2 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (PI.f64)) (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v 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simplify231.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational.json-simplify-35`
892×	`rational.json-simplify-44`
852×	`rational.json-simplify-49`
836×	`rational.json-simplify-47`
758×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	336	6962
1	762	6900
2	1776	6892
3	4324	6890
4	6466	6890
5	7678	6890

Stop Event

1×	node limit

Counts

136 → 243

Calls

Call 1

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

Outputs
(*.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/2 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))))
(+.f64 (.f64 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 9/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))))
(+.f64 (.f64 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 9/16 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 1/8))))))))
(+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 9/16 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 1/8)))))) (+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/2 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))))
(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2))) (.f64 9/16 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 1/8))))))))
(+.f64 (+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/2 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2))) (*.f64 9/16 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/8))))))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (.f64 27/2 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 9/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))))))
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(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (+.f64 (.f64 3/2 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 9/16 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 1/8))))))) (.f64 (pow.f64 v 6) (-.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))) 27/2) (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/8))))))))
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(+.f64 (.f64 2 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 6) (-.f64 (.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2)) 27/2) (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/8)))))) (+.f64 (.f64 3/2 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) (.f64 (pow.f64 v 4) (-.f64 (.f64 9/2 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2))) (*.f64 9/16 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/8))))))))
(.f64 2 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 2 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))
(-.f64 (.f64 2 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/18 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (.f64 2 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (.f64 2 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/18 (/.f64 (/.f64 1 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(-.f64 (.f64 2 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (*.f64 1/18 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 -1/6)) (pow.f64 v 3))))
(-.f64 (.f64 2 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 1/18 (/.f64 1 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 -1 (/.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 2 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))) (.f64 1/18 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 2 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (.f64 -1 (/.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 1/18 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
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(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -2 (PI.f64)) (/.f64 1 (.f64 3/2 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -2 (PI.f64)) (/.f64 1 (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 1 (.f64 3/2 (neg.f64 (PI.f64)))))
(.f64 (/.f64 -2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 2/3 (neg.f64 (PI.f64))))
(.f64 (/.f64 -2 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))) (/.f64 2/3 (neg.f64 (PI.f64))))
(.f64 (/.f64 -2/3 (PI.f64)) (/.f64 -2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 -4/3 (PI.f64)) (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 -1 (/.f64 (/.f64 2 (PI.f64)) (.f64 3/2 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 -1 (/.f64 (/.f64 2 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 -1 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 3/2 (neg.f64 (PI.f64)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 -1 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (/.f64 (/.f64 2 (PI.f64)) 3))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 2/3 (PI.f64)) (/.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 2 (/.f64 4/3 (PI.f64))))
(.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))) (.f64 2 (/.f64 4/3 (PI.f64))))
(.f64 1/2 (.f64 (/.f64 2 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 2 (PI.f64)) (.f64 1/2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))))
(.f64 (/.f64 2 (PI.f64)) (.f64 1/2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 1/2 (/.f64 2 (PI.f64))))
(.f64 1/3 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 1/3)
(.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))) 1/3)
(.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 1/3)
(.f64 (/.f64 1 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3)) (*.f64 2 (/.f64 2 (PI.f64))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1/3) (*.f64 2 (/.f64 2 (PI.f64))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 2/3 (/.f64 1/2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (*.f64 2 (/.f64 2 (PI.f64))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 2/3 (/.f64 1 (PI.f64))) (/.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (.f64 (/.f64 2/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1/2) (*.f64 2 (/.f64 2 (PI.f64))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (.f64 2 (PI.f64))) (/.f64 8/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(.f64 (/.f64 1/2 (PI.f64)) (/.f64 8/3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1/2 (PI.f64)) (/.f64 8/3 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))))
(.f64 (/.f64 1 (.f64 (PI.f64) 3)) (.f64 2 (/.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (.f64 (PI.f64) 3)) (/.f64 4 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 1 (.f64 (PI.f64) 3)))
(.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))) (/.f64 1/3 (PI.f64)))
(.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 1/3 (PI.f64)))
(.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 3/2 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) -1)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 2 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/2))) -1)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (.f64 3/2 (neg.f64 (PI.f64)))) -1)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) -1)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) 4/3)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))) (/.f64 -4/3 (PI.f64)))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3)) 2)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 2 (PI.f64)) 3) (.f64 2 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 3) 2)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (.f64 2 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3))) (.f64 (/.f64 2 (PI.f64)) 4))
(.f64 (/.f64 2 (PI.f64)) (.f64 4 (/.f64 1/2 (.f64 3 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))))
(.f64 4 (.f64 (/.f64 1/6 (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))) (/.f64 2 (PI.f64))))
(.f64 4 (.f64 (/.f64 2 (PI.f64)) (/.f64 1/6 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) 2) 2)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 1/6 (.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 4))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (.f64 3/2 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))) (/.f64 -2 (PI.f64)))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))) 3/2))) (/.f64 -2 (PI.f64)))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 1 (.f64 3/2 (neg.f64 (PI.f64)))) (/.f64 -2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(.f64 (/.f64 -2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))) (/.f64 2/3 (neg.f64 (PI.f64))))
(.f64 (/.f64 -2 (sqrt.f64 (-.f64 2 (.f64 6 (*.f64 v v))))) (/.f64 2/3 (neg.f64 (PI.f64))))
(.f64 (/.f64 -2/3 (PI.f64)) (/.f64 -2 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 1)
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(neg.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 3/2 (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(neg.f64 (/.f64 (/.f64 2 (PI.f64)) (neg.f64 (.f64 (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))) 3/2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(neg.f64 (/.f64 (/.f64 2 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (*.f64 3/2 (neg.f64 (PI.f64)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
(neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))

eval174.0ms (2.1%)

Compiler: Compiled 6668 to 5523 computations (17.2% saved)

prune82.0ms (1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	254	8	262

Error

Counts

262 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) 3/2)
✓	0.0b	(/.f64 (/.f64 4 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
✓	0.0b	(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
✓	0.5b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
✓	0.5b	(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6))))))
✓	1.5b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (PI.f64))))
✓	0.0b	(.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 6 v)))))))
✓	1.5b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 126 to 106 computations (15.9% saved)

regimes21.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	v
3.0ms	(*.f64 v v)
3.0ms	(.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
0.0b	1	`v`
0.0b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0.0b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 233 to 172 computations (26.2% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.0b	1	`v`

Compiler

Compiled 129 to 99 computations (23.3% saved)

regimes45.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

43.0ms

Results

Error	Segments	Branch
0.5b	1	`v`

Compiler

Compiled 93 to 74 computations (20.4% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.5b	1	`v`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`v`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -1.0b remaining (-190.3%)

Threshold costs -1.0b (-190.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.5b	1	`v`

Compiler

Compiled 21 to 17 computations (19% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	295

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 103 to 87 computations (15.5% saved)

soundness319.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

1202×	`rational.json-simplify-35`
1066×	`rational.json-simplify-44`
934×	`rational.json-simplify-2`
882×	`rational.json-simplify-59`
876×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	33	61
2	64	55
3	157	55
4	602	55
5	3327	55
6	5707	55
7	7028	55
8	7923	55
0	286	6041
1	718	5933
2	1752	5853
3	5258	5853
4	6827	5853
5	7932	5853

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 146 to 106 computations (27.4% saved)

end69.0ms (0.8%)

Compiler: Compiled 97 to 74 computations (23.7% saved)

Details

analyze4.0ms (0.1%)

sample2.1s (25.8%)

preprocess125.0ms (1.5%)

simplify129.0ms (1.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize29.0ms (0.4%)

series6.0ms (0.1%)

rewrite73.0ms (0.9%)

simplify180.0ms (2.2%)

localize25.0ms (0.3%)

series1.0ms (0%)

rewrite78.0ms (1%)

simplify191.0ms (2.4%)

eval244.0ms (3%)

prune47.0ms (0.6%)

localize10.0ms (0.1%)

series0.0ms (0%)

rewrite74.0ms (0.9%)

simplify96.0ms (1.2%)

localize35.0ms (0.4%)

series3.0ms (0%)

rewrite111.0ms (1.4%)

simplify382.0ms (4.7%)

localize22.0ms (0.3%)

series3.0ms (0%)

rewrite102.0ms (1.3%)

simplify163.0ms (2%)

localize28.0ms (0.3%)

series1.0ms (0%)

rewrite140.0ms (1.7%)

simplify134.0ms (1.6%)

eval408.0ms (5%)

prune187.0ms (2.3%)

localize23.0ms (0.3%)

series2.0ms (0%)

rewrite89.0ms (1.1%)

simplify137.0ms (1.7%)

localize31.0ms (0.4%)

series3.0ms (0%)

rewrite90.0ms (1.1%)

simplify247.0ms (3%)

localize20.0ms (0.2%)

series1.0ms (0%)

rewrite73.0ms (0.9%)

simplify142.0ms (1.7%)

localize24.0ms (0.3%)

series1.0ms (0%)

rewrite105.0ms (1.3%)

simplify105.0ms (1.3%)

eval621.0ms (7.6%)

prune217.0ms (2.7%)

localize23.0ms (0.3%)

series2.0ms (0%)

rewrite73.0ms (0.9%)

simplify231.0ms (2.8%)

eval174.0ms (2.1%)

prune82.0ms (1%)

regimes21.0ms (0.3%)

regimes8.0ms (0.1%)

regimes45.0ms (0.6%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

simplify5.0ms (0.1%)

soundness319.0ms (3.9%)

end69.0ms (0.8%)

Profiling