Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.3s (19.3%)

Results

1.3s	8256×	body	256	valid
4.0ms	11×	body	256	invalid

Bogosity

preprocess36.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1052×	`rational.json-simplify-29`
902×	`rational.json-simplify-37`
584×	`rational.json-simplify-3`
538×	`rational.json-simplify-12`
512×	`rational.json-simplify-28`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	46	61
2	126	55
3	552	55
4	3630	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 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
(/.f64 4 (.f64 (.f64 3 (.f64 (-.f64 1 (.f64 v v)) (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)))))

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify36.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational.json-simplify-29`
902×	`rational.json-simplify-37`
584×	`rational.json-simplify-3`
538×	`rational.json-simplify-12`
512×	`rational.json-simplify-28`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	46	61
2	126	55
3	552	55
4	3630	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 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
(/.f64 4 (.f64 (.f64 3 (.f64 (-.f64 1 (.f64 v v)) (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)))))

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

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

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)))))

▶

1.0b

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

Compiler

Compiled 40 to 32 computations (20% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 89 to 59 computations (33.7% saved)

series9.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))))
2.0ms	v	@	inf	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
1.0ms	v	@	0	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
1.0ms	v	@	inf	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v)))))
1.0ms	v	@	0	(.f64 v (.f64 6 v))

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational.json-1`
1372×	`rational.json-2`
1372×	`rational.json-4`
1372×	`rational.json-3`
1058×	`rational.json-simplify-45`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	152
1	132	152
2	460	146
3	2885	146

Stop Event

1×	node limit

Counts

4 → 205

Calls

Call 1

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

Outputs
((#(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 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (/.f64 0 (.f64 (.f64 3 (.f64 (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))))) (/.f64 0 (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))))) (#(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 (neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))) (/.f64 (/.f64 8/3 (.f64 (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 8/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))) (neg.f64 (/.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 0 (.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (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))))))))) (#(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 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 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simplify116.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

864×	`rational.json-simplify-28`
854×	`rational.json-simplify-24`
590×	`rational.json-simplify-13`
556×	`rational.json-simplify-43`
490×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	587	14453
1	2026	13771

Stop Event

1×	node limit

Counts

253 → 370

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

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

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 68 to 44 computations (35.3% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`rational.json-simplify-42`
980×	`rational.json-simplify-41`
926×	`rational.json-simplify-29`
892×	`rational.json-1`
892×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	72
1	116	72
2	401	72
3	2101	72

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

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

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

simplify117.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational.json-simplify-1`
750×	`rational.json-simplify-67`
730×	`rational.json-simplify-24`
642×	`rational.json-simplify-41`
590×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	534	6582
1	1686	6426
2	7900	6426

Stop Event

1×	node limit

Counts

270 → 317

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

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

eval438.0ms (6.6%)

Compiler: Compiled 19966 to 14615 computations (26.8% saved)

prune183.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	683	4	687
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	684	5	689

Error

Counts

689 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (/.f64 (/.f64 4/3 (-.f64 1 (.f64 v v))) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
▶	0.6b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
▶	1.6b	(/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
▶	0.6b	(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))

Compiler

Compiled 69 to 59 computations (14.5% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 23 computations (8% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`rational.json-simplify-21`
746×	`rational.json-simplify-6`
720×	`rational.json-simplify-41`
694×	`rational.json-simplify-24`
604×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	73	49
2	240	49
3	1338	49

Stop Event

1×	node limit

Counts

3 → 291

Calls

Call 1

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

Outputs

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simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

836×	`rational.json-simplify-24`
734×	`rational.json-simplify-41`
640×	`rational.json-simplify-67`
582×	`rational.json-simplify-50`
580×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	548	5463
1	1789	5333

Stop Event

1×	node limit

Counts

291 → 310

Calls

Call 1

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

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

localize22.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 15 computations (6.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`rational.json-1`
1502×	`rational.json-2`
1502×	`rational.json-3`
504×	`rational.json-simplify-13`
450×	`rational.json-simplify-6`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	58	19
2	184	19
3	843	19
4	6311	19

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

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

Outputs

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simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational.json-simplify-42`
922×	`rational.json-simplify-29`
836×	`rational.json-simplify-28`
778×	`rational.json-simplify-13`
768×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	247	2363
1	733	2359
2	2698	2359

Stop Event

1×	node limit

Counts

123 → 127

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series2.0ms (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

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

0.0ms

-inf

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

rewrite63.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational.json-simplify-6`
1084×	`rational.json-simplify-13`
1034×	`rational.json-simplify-3`
838×	`rational.json-simplify-12`
824×	`rational.json-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	95	37
2	319	37
3	1615	37

Stop Event

1×	node limit

Counts

1 → 148

Calls

Call 1

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

Outputs

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simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

956×	`rational.json-simplify-21`
836×	`rational.json-simplify-23`
760×	`rational.json-simplify-1`
708×	`rational.json-simplify-29`
616×	`rational.json-simplify-37`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	391	6718
1	1236	6654
2	5166	6654

Stop Event

1×	node limit

Counts

160 → 197

Calls

Call 1

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

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 72 to 46 computations (36.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational.json-simplify-6`
1126×	`rational.json-simplify-13`
1010×	`rational.json-simplify-4`
946×	`rational.json-simplify-3`
846×	`rational.json-simplify-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	78	46
2	295	46
3	1504	46

Stop Event

1×	node limit

Counts

2 → 228

Calls

Call 1

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

Outputs

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simplify109.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational.json-simplify-13`
1168×	`rational.json-simplify-1`
1152×	`rational.json-simplify-14`
886×	`rational.json-simplify-15`
722×	`rational.json-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	7004
1	1552	6968
2	6059	6936

Stop Event

1×	node limit

Counts

252 → 273

Calls

Call 1

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

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

eval610.0ms (9.2%)

Compiler: Compiled 26306 to 20244 computations (23% saved)

prune315.0ms (4.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1260	3	1263
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	1262	6	1268

Error

Counts

1268 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 (/.f64 4/3 (-.f64 1 (.f64 v v))) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
▶	0.6b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2))
▶	0.6b	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
✓	1.6b	(/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
▶	0.6b	(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))

Compiler

Compiled 82 to 70 computations (14.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite186.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`rational.json-simplify-6`
982×	`rational.json-simplify-13`
876×	`rational.json-simplify-5`
868×	`rational.json-simplify-3`
790×	`rational.json-simplify-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	88	104
2	269	104
3	1400	104

Stop Event

1×	node limit

Counts

4 → 819

Calls

Call 1

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

Outputs
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simplify290.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational.json-simplify-4`
1054×	`rational.json-simplify-6`
1028×	`rational.json-simplify-1`
920×	`rational.json-simplify-63`
722×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1665	32041
1	5332	30701

Stop Event

1×	node limit

Counts

867 → 1011

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

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

localize56.0ms (0.8%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 52 to 39 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`rational.json-simplify-6`
1098×	`rational.json-simplify-13`
1038×	`rational.json-simplify-24`
1022×	`rational.json-simplify-3`
832×	`rational.json-simplify-12`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	102	37
2	324	37
3	1626	37

Stop Event

1×	node limit

Counts

1 → 147

Calls

Call 1

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

Outputs

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simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational.json-simplify-29`
872×	`rational.json-simplify-21`
808×	`rational.json-simplify-23`
806×	`rational.json-simplify-37`
730×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	395	6681
1	1291	6617
2	4698	6617

Stop Event

1×	node limit

Counts

159 → 195

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	1.0b	(/.f64 4/3 (PI.f64))

Compiler

Compiled 15 to 13 computations (13.3% saved)

eval910.0ms (13.8%)

Compiler: Compiled 35188 to 26053 computations (26% saved)

prune568.0ms (8.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1402	0	1402
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	1402	6	1408

Error

Counts

1408 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 (/.f64 4/3 (-.f64 1 (.f64 v v))) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
✓	0.6b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2))
✓	0.6b	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
✓	1.6b	(/.f64 (*.f64 (sqrt.f64 1/2) 4/3) (PI.f64))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
✓	0.6b	(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))

Compiler

Compiled 82 to 70 computations (14.6% saved)

regimes17.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	v
3.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
3.0ms	(*.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 181 to 133 computations (26.5% saved)

regimes37.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
0.0b	1	`v`

Compiler

Compiled 79 to 62 computations (21.5% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.6b	1	`v`

Compiler

Compiled 61 to 49 computations (19.7% saved)

regimes8.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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
0.6b	1	`v`

Compiler

Compiled 47 to 38 computations (19.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-159.2%)

Threshold costs -1.0b (-159.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.6b	1	`v`

Compiler

Compiled 23 to 20 computations (13% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	228

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 80 to 68 computations (15% saved)

soundness159.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

1052×	`rational.json-simplify-29`
902×	`rational.json-simplify-37`
864×	`rational.json-simplify-28`
854×	`rational.json-simplify-24`
590×	`rational.json-simplify-13`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	46	61
2	126	55
3	552	55
4	3630	55
0	587	14453
1	2026	13771

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 138 to 97 computations (29.7% saved)

end58.0ms (0.9%)

Compiler: Compiled 75 to 57 computations (24% saved)

Details

analyze4.0ms (0.1%)

sample1.3s (19.3%)

preprocess36.0ms (0.5%)

simplify36.0ms (0.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize32.0ms (0.5%)

series9.0ms (0.1%)

rewrite80.0ms (1.2%)

simplify116.0ms (1.8%)

localize27.0ms (0.4%)

series2.0ms (0%)

rewrite89.0ms (1.4%)

simplify117.0ms (1.8%)

eval438.0ms (6.6%)

prune183.0ms (2.8%)

localize12.0ms (0.2%)

series0.0ms (0%)

rewrite65.0ms (1%)

simplify74.0ms (1.1%)

localize22.0ms (0.3%)

series0.0ms (0%)

rewrite74.0ms (1.1%)

simplify62.0ms (0.9%)

localize19.0ms (0.3%)

series2.0ms (0%)

rewrite63.0ms (1%)

simplify109.0ms (1.6%)

localize31.0ms (0.5%)

series1.0ms (0%)

rewrite67.0ms (1%)

simplify109.0ms (1.7%)

eval610.0ms (9.2%)

prune315.0ms (4.8%)

localize21.0ms (0.3%)

series3.0ms (0%)

rewrite186.0ms (2.8%)

simplify290.0ms (4.4%)

localize56.0ms (0.8%)

series1.0ms (0%)

rewrite61.0ms (0.9%)

simplify122.0ms (1.8%)

localize7.0ms (0.1%)

eval910.0ms (13.8%)

prune568.0ms (8.6%)

regimes17.0ms (0.3%)

regimes37.0ms (0.6%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

simplify4.0ms (0.1%)

soundness159.0ms (2.4%)

end58.0ms (0.9%)

Profiling