Details

analyze33.0ms (1.1%)

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)

sample994.0ms (31.5%)

Results

982.0ms	8256×	body	256	valid
2.0ms	17×	body	256	invalid

Bogosity

preprocess62.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1474×	`fma-def`
1168×	`distribute-lft-in`
1088×	`associate--r+`
878×	`distribute-rgt-in`
700×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	45	55
2	117	51
3	311	51
4	821	51
5	1733	47
6	3290	47
7	5650	47
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 3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1474×	`fma-def`
1168×	`distribute-lft-in`
1088×	`associate--r+`
878×	`distribute-rgt-in`
700×	`distribute-lft-neg-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	45	55
2	117	51
3	311	51
4	821	51
5	1733	47
6	3290	47
7	5650	47

Stop Event

1×	node limit

Counts

1 → 7

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

eval2.0ms (0.1%)

Compiler: Compiled 125 to 82 computations (34.4% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	5	3	8

Error

Counts

8 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.0b

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

▶

1.0b

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

Compiler

Compiled 40 to 30 computations (25% saved)

localize25.0ms (0.8%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 86 to 52 computations (39.5% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`associate-/r*`
562×	`associate-/l*`
424×	`associate-/r/`
424×	`add-sqr-sqrt`
404×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	74
1	431	68
2	5377	68

Stop Event

1×	node limit

Counts

2 → 50

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (.f64 v v))) (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))) (/.f64 4 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 2 (.f64 (.f64 v v) -6)) (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)))) (/.f64 4 (cbrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 8 (.f64 216 (pow.f64 v 6))))) (sqrt.f64 (+.f64 (.f64 12 (.f64 v v)) (+.f64 4 (.f64 36 (pow.f64 v 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4))))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (-.f64 1 (pow.f64 v 4)) (.f64 3 (PI.f64)))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (-.f64 1 (pow.f64 v 6)) (.f64 3 (PI.f64)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) (/.f64 4/3 (PI.f64))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 v (.f64 v 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1/3 (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (/.f64 4 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))) (/.f64 4 (sqrt.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)) (pow.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2)))) (/.f64 4 (cbrt.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 8 (*.f64 216 (pow.f64 v 6))))) (sqrt.f64 (+.f64 (*.f64 12 (*.f64 v v)) (+.f64 4 (*.f64 36 (pow.f64 v 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 4 (*.f64 36 (pow.f64 v 4))))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 3 (PI.f64)))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) (*.f64 (-.f64 1 (pow.f64 v 6)) (*.f64 3 (PI.f64)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 v v)) (/.f64 4/3 (PI.f64))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v 6))))))))

simplify70.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1244×	`associate-/r*`
954×	`distribute-lft-in`
922×	`distribute-rgt-in`
832×	`associate-/l*`
576×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	4800
1	763	4532
2	2851	4454

Stop Event

1×	node limit

Counts

74 → 120

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))) 1)
(.f64 4 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))
(.f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))) 1)
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))))
(.f64 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))) 4)
(.f64 -4 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))))))
(.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))
(.f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (.f64 v v))) (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))) (/.f64 4 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 2 (.f64 (.f64 v v) -6)) (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)))) (/.f64 4 (cbrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))))
(.f64 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))))) -4)
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 8 (.f64 216 (pow.f64 v 6))))) (sqrt.f64 (+.f64 (.f64 12 (.f64 v v)) (+.f64 4 (*.f64 36 (pow.f64 v 4))))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4))))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) -6))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (-.f64 1 (pow.f64 v 4)) (.f64 3 (PI.f64)))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (-.f64 1 (pow.f64 v 6)) (.f64 3 (PI.f64)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 3) 1/3)
(pow.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) (/.f64 4/3 (PI.f64))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)
(pow.f64 (.f64 v (.f64 v 6)) 1)
(pow.f64 (*.f64 v (sqrt.f64 6)) 2)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)
(pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(log.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))
(cbrt.f64 (*.f64 216 (pow.f64 v 6)))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))
(exp.f64 (log.f64 (.f64 v (.f64 v 6))))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v 6))) 1))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (*.f64 4/3 (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 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 v v))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v (.f64 v (+.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)))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v)))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 v v))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 4/3 (+.f64 (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (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))))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (fma.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 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (+.f64 27/2 (.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 1/2 (/.f64 (+.f64 27/2 (/.f64 (.f64 -3/4 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))) 1/2)) (.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 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 135/16 (PI.f64)))))) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 (/.f64 -4/3 (pow.f64 v 3)) (/.f64 (sqrt.f64 -1/6) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 (/.f64 -4/3 (pow.f64 v 3)) (/.f64 (sqrt.f64 -1/6) (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))))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)) (*.f64 (/.f64 -4/3 (pow.f64 v 3)) (/.f64 (sqrt.f64 -1/6) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 4/3 (/.f64 (fma.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))) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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))))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 4/3 (/.f64 (+.f64 (-.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 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)) (.f64 (/.f64 -4/3 (pow.f64 v 3)) (/.f64 (sqrt.f64 -1/6) (PI.f64))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 (/.f64 -4/3 (pow.f64 v 5)) (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)))))
(fma.f64 -4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 (/.f64 -4/3 (pow.f64 v 5)) (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 -4/3 (/.f64 (fma.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))) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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))))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 -4/3 (/.f64 (+.f64 (-.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 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3)))) (.f64 -4/3 (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64))))) (pow.f64 v 9)) (+.f64 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7))))))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))) 1)
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 4 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))) 1)
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))) 2))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))) 4)
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 -4 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (.f64 v v))) (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))) (/.f64 4 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))) (/.f64 4 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))))))
(/.f64 (/.f64 4 (sqrt.f64 (.f64 (.f64 (PI.f64) 3) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (sqrt.f64 (.f64 (.f64 (PI.f64) 3) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 4 (.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3))) (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 2 (.f64 (.f64 v v) -6)) (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)))) (/.f64 4 (cbrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 2 (.f64 v (.f64 v -6))) (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)))) (/.f64 4 (cbrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))))))
(/.f64 (/.f64 4 (cbrt.f64 (.f64 (.f64 (PI.f64) 3) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (cbrt.f64 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))) 2))))
(/.f64 4 (.f64 (cbrt.f64 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v)))) 2))) (cbrt.f64 (.f64 (PI.f64) (.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3)))))
(.f64 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))))) -4)
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 8 (.f64 216 (pow.f64 v 6))))) (sqrt.f64 (+.f64 (.f64 12 (.f64 v v)) (+.f64 4 (*.f64 36 (pow.f64 v 4))))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 8 (.f64 -216 (pow.f64 v 6))))) (sqrt.f64 (fma.f64 12 (.f64 v v) (+.f64 4 (.f64 (pow.f64 v 4) 36)))))
(.f64 (/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 v 6) -216))))) (sqrt.f64 (fma.f64 (.f64 v v) 12 (fma.f64 (pow.f64 v 4) 36 4))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4))))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) -6))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v -6)))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (sqrt.f64 (+.f64 2 (.f64 6 (*.f64 v v))))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (+.f64 1 (.f64 v v)))
(/.f64 (.f64 (fma.f64 v v 1) 4/3) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))))
(/.f64 (/.f64 (.f64 4/3 (fma.f64 v v 1)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64))) (-.f64 1 (pow.f64 v 4)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (+.f64 1 (.f64 v v)))
(/.f64 (.f64 (fma.f64 v v 1) 4/3) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))))
(/.f64 (/.f64 (.f64 4/3 (fma.f64 v v 1)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64))) (-.f64 1 (pow.f64 v 4)))
(.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (-.f64 1 (pow.f64 v 4)) (.f64 3 (PI.f64)))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (+.f64 1 (.f64 v v)))
(/.f64 (.f64 (fma.f64 v v 1) 4/3) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))))
(/.f64 (/.f64 (.f64 4/3 (fma.f64 v v 1)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64))) (-.f64 1 (pow.f64 v 4)))
(.f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (-.f64 1 (pow.f64 v 6)) (.f64 3 (PI.f64)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 1)
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2)
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 3)
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 3) 1/3)
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(pow.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) (/.f64 4/3 (PI.f64))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) -1)
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 2))
(sqrt.f64 (pow.f64 (/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6)))))) 2))
(fabs.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(fabs.f64 (/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))))
(log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 3))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))) 1))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(pow.f64 (.f64 v (.f64 v 6)) 1)
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(pow.f64 (*.f64 v (sqrt.f64 6)) 2)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 v 6) 216))
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(sqrt.f64 (*.f64 (pow.f64 v 4) 36))
(log.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(cbrt.f64 (*.f64 216 (pow.f64 v 6)))
(cbrt.f64 (*.f64 (pow.f64 v 6) 216))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(exp.f64 (log.f64 (.f64 v (.f64 v 6))))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v 6))) 1))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))
(.f64 v (.f64 v 6))
(.f64 6 (.f64 v v))

localize22.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 69 to 39 computations (43.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite101.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`associate-/l*`
970×	`associate-/r/`
704×	`associate-/l/`
394×	`add-sqr-sqrt`
374×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	95
1	392	91
2	5119	91

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4/3 (/.f64 1 (.f64 (PI.f64) (neg.f64 (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (.f64 v v))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (PI.f64) (neg.f64 (-.f64 1 (.f64 v v))))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 1 (pow.f64 (.f64 v (neg.f64 v)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))) (.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (+.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 v 4)))) (cbrt.f64 (+.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 v 6)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (PI.f64) 4/3) (-.f64 1 (.f64 v v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 v (.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 v (.f64 v -6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (*.f64 v -6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))) (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 -4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) 4/3)) (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2))) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4))))) (sqrt.f64 (+.f64 2 (.f64 6 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 8 (.f64 -216 (pow.f64 v 6))))) (sqrt.f64 (+.f64 4 (-.f64 (.f64 36 (pow.f64 v 4)) (.f64 -12 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)) (/.f64 4/3 (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) 1) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (.f64 v v))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (neg.f64 (-.f64 1 (.f64 v v))))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) 1) (/.f64 1 (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (+.f64 1 (pow.f64 (.f64 v (neg.f64 v)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))) (.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (/.f64 (PI.f64) 4/3) (-.f64 1 (.f64 v v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 3) (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (/.f64 4/3 (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))) (/.f64 4/3 (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 v (neg.f64 v))))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 1 (pow.f64 (*.f64 v (neg.f64 v)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 v (neg.f64 v))) (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (PI.f64))) (sqrt.f64 (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (+.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (PI.f64))) (sqrt.f64 (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 v 4)))) (cbrt.f64 (+.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 v 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) 4/3) (-.f64 1 (*.f64 v v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -6))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (cbrt.f64 (/.f64 16/9 (*.f64 (fma.f64 v (*.f64 v -6) 2) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16/9 (*.f64 (fma.f64 v (*.f64 v -6) 2) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))) (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2) (*.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (/.f64 -4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 4/3)) (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2))) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 4 (*.f64 36 (pow.f64 v 4))))) (sqrt.f64 (+.f64 2 (*.f64 6 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 8 (*.f64 -216 (pow.f64 v 6))))) (sqrt.f64 (+.f64 4 (-.f64 (*.f64 36 (pow.f64 v 4)) (*.f64 -12 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)) (/.f64 4/3 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) 1) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (/.f64 4/3 (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))) (/.f64 4/3 (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) 1) (/.f64 1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (-.f64 1 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 v (neg.f64 v))))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (+.f64 1 (pow.f64 (*.f64 v (neg.f64 v)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 v (neg.f64 v))) (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (/.f64 (PI.f64) 4/3) (-.f64 1 (*.f64 v v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (*.f64 (fma.f64 v (*.f64 v -6) 2) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))

simplify124.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

836×	`associate-+l+`
784×	`associate-+r+`
752×	`+-commutative`
628×	`associate-/l*`
590×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	460	9109
1	1401	8837
2	6274	8837

Stop Event

1×	node limit

Counts

157 → 245

Calls

Call 1

Inputs
(/.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))))))))
(*.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 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)
(.f64 4/3 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))))
(.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 1)
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (cbrt.f64 (/.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 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) 4/3)
(.f64 -4/3 (/.f64 1 (.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (-.f64 1 (.f64 v v))))
(.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (/.f64 4/3 (PI.f64)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 1 (.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))) -4/3)
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 1 (pow.f64 (.f64 v (neg.f64 v)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))) (.f64 v (neg.f64 v)))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (+.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 v 4)))) (cbrt.f64 (+.f64 1 (*.f64 v v))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 v 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3) 1/3)
(pow.f64 (.f64 (/.f64 (PI.f64) 4/3) (-.f64 1 (.f64 v v))) -1)
(sqrt.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) 1)
(pow.f64 (.f64 v (.f64 v -6)) 1)
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v -6))) 3)
(pow.f64 (*.f64 -216 (pow.f64 v 6)) 1/3)
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -6)))))
(cbrt.f64 (*.f64 -216 (pow.f64 v 6)))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v -6))))
(exp.f64 (log.f64 (.f64 v (.f64 v -6))))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v -6))) 1))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v -6))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1)
(.f64 4/3 (.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)
(.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))
(.f64 (cbrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))) (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 -4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(.f64 (/.f64 1 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 -4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 4/3)
(.f64 (/.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))
(.f64 (/.f64 4/3 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) 4/3)) (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2))) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4))))) (sqrt.f64 (+.f64 2 (.f64 6 (*.f64 v v)))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 8 (.f64 -216 (pow.f64 v 6))))) (sqrt.f64 (+.f64 4 (-.f64 (.f64 36 (pow.f64 v 4)) (.f64 -12 (.f64 v v))))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)) (/.f64 4/3 (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) 1) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))) (/.f64 4/3 (PI.f64)))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 4/3)
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (neg.f64 (-.f64 1 (.f64 v v))))) -4/3)
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) 1) (/.f64 1 (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (+.f64 1 (pow.f64 (.f64 v (neg.f64 v)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))) (.f64 v (neg.f64 v)))))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (/.f64 (PI.f64) 4/3) (-.f64 1 (.f64 v v)))) -1)
(neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(sqrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 3) (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))

Outputs
(/.f64 4/3 (PI.f64))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (.f64 4/3 (/.f64 1 (PI.f64))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 4/3 (PI.f64)))
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 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)))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (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))))))
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))))
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 v v)))
(/.f64 (/.f64 (/.f64 -4/3 v) v) (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) (*.f64 v v)))))
(+.f64 (/.f64 (/.f64 (/.f64 -4/3 v) v) (PI.f64)) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))))
(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) (.f64 v v))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 -4/3 v) v) (PI.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 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 (/.f64 4/3 (.f64 (PI.f64) (.f64 v v))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 -4/3 v) v) (PI.f64)) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6)))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 -4/3 v) v) (PI.f64)) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (-.f64 (/.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) (.f64 v v)))
(/.f64 (/.f64 (/.f64 -4/3 v) v) (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) (*.f64 v v)))))
(+.f64 (/.f64 (/.f64 (/.f64 -4/3 v) v) (PI.f64)) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))))
(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) (.f64 v v))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 -4/3 v) v) (PI.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 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 (/.f64 4/3 (.f64 (PI.f64) (.f64 v v))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 -4/3 v) v) (PI.f64)) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6)))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 -4/3 v) v) (PI.f64)) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (-.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.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 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))) (.f64 v v))))
(+.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)))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))) (*.f64 v v)))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))) (.f64 v v))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 3/4 (*.f64 (PI.f64) (sqrt.f64 1/2))))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))) (.f64 v v)) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 3/4 (*.f64 (PI.f64) (sqrt.f64 1/2)))))))))
(+.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))))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))) (.f64 1/2 (/.f64 (+.f64 27/2 (.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (PI.f64) (sqrt.f64 1/2))))))) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))) (*.f64 v v))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 1/2 (/.f64 (-.f64 27/2 (/.f64 (.f64 3/4 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))) 1/2)) (.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))))) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2)))) (*.f64 v v))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(/.f64 (.f64 -4/3 (sqrt.f64 -1/6)) (.f64 (PI.f64) (pow.f64 v 3)))
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (sqrt.f64 -1/6) (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)))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (/.f64 (.f64 -4/3 (sqrt.f64 -1/6)) (*.f64 (PI.f64) (pow.f64 v 3))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (sqrt.f64 -1/6) (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 (.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))))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (/.f64 (.f64 -4/3 (sqrt.f64 -1/6)) (.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(+.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)))))))
(fma.f64 4/3 (/.f64 (fma.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))) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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))))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (/.f64 (.f64 -4/3 (sqrt.f64 -1/6)) (*.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 4/3 (/.f64 (+.f64 (-.f64 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(/.f64 (.f64 4/3 (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)))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (/.f64 (.f64 4/3 (sqrt.f64 -1/6)) (*.f64 (PI.f64) (pow.f64 v 3))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.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 (.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))))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (/.f64 (.f64 4/3 (sqrt.f64 -1/6)) (.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 -4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 -4/3 (/.f64 (fma.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))) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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))))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (/.f64 (.f64 4/3 (sqrt.f64 -1/6)) (*.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 -4/3 (/.f64 (+.f64 (-.f64 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 4/3 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 1)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (.f64 v v))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) 4/3)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 -4/3 (/.f64 1 (.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))))
(/.f64 -4/3 (neg.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(/.f64 -4/3 (.f64 (PI.f64) (+.f64 -1 (.f64 v v))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (-.f64 1 (.f64 v v))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))
(.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (-.f64 1 (pow.f64 v 6))))
(.f64 (/.f64 1 (.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))) -4/3)
(/.f64 -4/3 (neg.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(/.f64 -4/3 (.f64 (PI.f64) (+.f64 -1 (.f64 v v))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (-.f64 1 (pow.f64 v 6))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 1 (pow.f64 (.f64 v (neg.f64 v)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))) (.f64 v (neg.f64 v)))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (-.f64 1 (pow.f64 v 6))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (+.f64 -1 (.f64 v (neg.f64 v))))
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 -1 (pow.f64 v 4))) (neg.f64 (fma.f64 v v 1)))
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 (pow.f64 v 4) -1)) (neg.f64 (fma.f64 v v 1)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(.f64 (/.f64 4/3 (.f64 (neg.f64 (-.f64 1 (pow.f64 v 6))) (PI.f64))) (+.f64 -1 (neg.f64 (fma.f64 v v (pow.f64 v 4)))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (+.f64 -1 (pow.f64 v 6)))) (-.f64 -1 (fma.f64 v v (pow.f64 v 4))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (+.f64 (pow.f64 v 6) -1))) (-.f64 -1 (fma.f64 v v (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (+.f64 1 (.f64 v v))))
(.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 4))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))))) (hypot.f64 1 v))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 1 (pow.f64 v 4)))) (hypot.f64 1 v))
(.f64 (/.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(.f64 (/.f64 4/3 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))))) (sqrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 1 (*.f64 v v)))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (sqrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 v 4)))) (cbrt.f64 (+.f64 1 (*.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 v 4))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2))) (cbrt.f64 (+.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2) (cbrt.f64 (-.f64 1 (pow.f64 v 4))))) (cbrt.f64 (fma.f64 v v 1)))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 v 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 v 6))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2))) (cbrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (cbrt.f64 (-.f64 1 (pow.f64 v 6)))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 3)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3) 1/3)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(pow.f64 (.f64 (/.f64 (PI.f64) 4/3) (-.f64 1 (.f64 v v))) -1)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(sqrt.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 1))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) 1)
(.f64 v (.f64 v -6))
(pow.f64 (.f64 v (.f64 v -6)) 1)
(.f64 v (.f64 v -6))
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v -6))) 3)
(.f64 v (.f64 v -6))
(pow.f64 (*.f64 -216 (pow.f64 v 6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 v 6) -216))
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(sqrt.f64 (*.f64 (pow.f64 v 4) 36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))
(*.f64 -6 (log.f64 (pow.f64 (exp.f64 v) v)))
(.f64 -6 (.f64 v (log.f64 (exp.f64 v))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -6)))))
(.f64 v (.f64 v -6))
(cbrt.f64 (*.f64 -216 (pow.f64 v 6)))
(cbrt.f64 (*.f64 (pow.f64 v 6) -216))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v -6))))
(.f64 v (.f64 v -6))
(exp.f64 (log.f64 (.f64 v (.f64 v -6))))
(.f64 v (.f64 v -6))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v -6))) 1))
(.f64 v (.f64 v -6))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v -6))))
(.f64 v (.f64 v -6))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1)
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 4/3 (.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 4/3 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (/.f64 16/9 (.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2) (fma.f64 v (.f64 v -6) 2)))))
(.f64 (cbrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))) (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (/.f64 16/9 (.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2) (fma.f64 v (.f64 v -6) 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 -4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (/.f64 1 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))
(.f64 (/.f64 1 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))
(/.f64 (/.f64 4/3 (.f64 (.f64 (-.f64 1 (.f64 v v)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 -4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 -4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 4/3)
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))
(.f64 (/.f64 1 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))
(/.f64 (/.f64 4/3 (.f64 (.f64 (-.f64 1 (.f64 v v)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))
(.f64 (/.f64 4/3 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))
(.f64 (/.f64 1 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))
(/.f64 (/.f64 4/3 (.f64 (.f64 (-.f64 1 (.f64 v v)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (.f64 v v))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 2) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 2) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) 4/3)) (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 2))) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4))))) (sqrt.f64 (+.f64 2 (.f64 6 (*.f64 v v)))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (+.f64 4 (.f64 -36 (pow.f64 v 4)))) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 6 (.f64 v v)))))
(/.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v 6) v 2))) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 8 (.f64 -216 (pow.f64 v 6))))) (sqrt.f64 (+.f64 4 (-.f64 (.f64 36 (pow.f64 v 4)) (.f64 -12 (.f64 v v))))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 v 6) -216)))) (sqrt.f64 (+.f64 4 (-.f64 (.f64 (pow.f64 v 4) 36) (.f64 (*.f64 -12 v) v)))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v 6) -216 8))) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 4 (fma.f64 (pow.f64 v 4) 36 (.f64 (.f64 12 v) v)))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)) (/.f64 4/3 (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) 1) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))) (/.f64 4/3 (PI.f64)))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 4/3)
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))
(.f64 (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (neg.f64 (-.f64 1 (.f64 v v))))) -4/3)
(.f64 -4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (neg.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (+.f64 -1 (*.f64 v v))) (/.f64 -4/3 (PI.f64)))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (+.f64 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 4/3 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) 4/3)))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (+.f64 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 4/3 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) 4/3)))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) 1) (/.f64 1 (-.f64 1 (.f64 v v))))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (-.f64 1 (*.f64 v v))))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))
(/.f64 (.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (+.f64 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 4/3 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) 4/3)))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))))) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 (.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (+.f64 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (+.f64 1 (pow.f64 (.f64 v (neg.f64 v)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))) (.f64 v (neg.f64 v)))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 4/3 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) 4/3)))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))
(.f64 (+.f64 -1 (.f64 v (neg.f64 v))) (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (neg.f64 (-.f64 1 (pow.f64 v 4)))))
(.f64 (neg.f64 (fma.f64 v v 1)) (.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 -1 (pow.f64 v 4))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 (neg.f64 (fma.f64 v v 1)) (.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 (pow.f64 v 4) -1)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 (/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(.f64 (+.f64 -1 (neg.f64 (fma.f64 v v (pow.f64 v 4)))) (/.f64 (/.f64 4/3 (PI.f64)) (/.f64 (neg.f64 (-.f64 1 (pow.f64 v 6))) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))))
(/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (/.f64 (+.f64 -1 (pow.f64 v 6)) (-.f64 -1 (fma.f64 v v (pow.f64 v 4)))))
(/.f64 (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)) (/.f64 (+.f64 (pow.f64 v 6) -1) (-.f64 -1 (fma.f64 v v (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))
(.f64 (+.f64 1 (.f64 v v)) (/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (/.f64 (fma.f64 v v 1) (PI.f64)))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (.f64 v v)))
(.f64 (+.f64 1 (.f64 v v)) (/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (/.f64 (fma.f64 v v 1) (PI.f64)))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1)
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 2)
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 3)
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3) 1/3)
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (/.f64 (PI.f64) 4/3) (-.f64 1 (.f64 v v)))) -1)
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(.f64 (/.f64 -4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(sqrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(sqrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))
(sqrt.f64 (/.f64 16/9 (.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2) (fma.f64 v (.f64 v -6) 2))))
(log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 3) (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)))
(cbrt.f64 (/.f64 (/.f64 64/27 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 3)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))

eval219.0ms (6.9%)

Compiler: Compiled 11774 to 8860 computations (24.7% saved)

prune47.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	362	3	365
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	363	4	367

Error

Counts

367 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 58 to 47 computations (19% saved)

localize27.0ms (0.8%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 79 to 50 computations (36.7% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`associate-/r*`
826×	`distribute-lft-in`
476×	`associate-/l*`
404×	`add-sqr-sqrt`
398×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	68
1	405	64
2	5099	64

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 6) -216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 v 6) -216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -6))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (sqrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (*.f64 v -6) 2)) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (*.f64 v -6) 2)) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))) (cbrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 -1 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (/.f64 4/3 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -6) 2) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))) (/.f64 4/3 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 8 (*.f64 (pow.f64 v 6) -216)))) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 (pow.f64 v 4) 36) (*.f64 -2 (*.f64 v (*.f64 v -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (+.f64 (*.f64 v v) (+.f64 1 (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 (*.f64 v v) (+.f64 1 (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 (*.f64 v v) (+.f64 1 (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (*.f64 v -6) 2)) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))))

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1352×	`fma-def`
966×	`*-commutative`
794×	`distribute-lft-in`
770×	`associate-/l*`
770×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	4758
1	722	4638
2	2700	4508

Stop Event

1×	node limit

Counts

74 → 124

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 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) 1)
(pow.f64 (.f64 v (.f64 v -6)) 1)
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v -6))) 3)
(pow.f64 (*.f64 (pow.f64 v 6) -216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 v 4) 36))
(log.f64 (pow.f64 (exp.f64 v) (*.f64 v -6)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -6)))))
(cbrt.f64 (*.f64 (pow.f64 v 6) -216))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v -6))))
(exp.f64 (log.f64 (.f64 v (.f64 v -6))))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v -6))) 1))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v -6))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) 1)
(.f64 4/3 (/.f64 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 1 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)
(.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))) (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (/.f64 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 4/3)
(.f64 -4/3 (/.f64 -1 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(.f64 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))
(.f64 (/.f64 -1 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) -4/3)
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v -6)))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 v 6) -216)))) (sqrt.f64 (+.f64 4 (+.f64 (.f64 (pow.f64 v 4) 36) (.f64 -2 (.f64 v (.f64 v -6)))))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (+.f64 (.f64 v v) (+.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 (.f64 v v) (+.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 (.f64 v v) (+.f64 1 (pow.f64 v 4))))
(pow.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1)
(pow.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 3) 1/3)
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 3/4) -1)
(sqrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(exp.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))

Outputs
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(+.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 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 v v))))
(.f64 4/3 (fma.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.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)))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v)))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 v v))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 4/3 (fma.f64 (pow.f64 v 4) (fma.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.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))))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (fma.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 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (+.f64 27/2 (.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v))))))
(.f64 4/3 (+.f64 (fma.f64 (pow.f64 v 6) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (/.f64 1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 135/16 (PI.f64)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64))))) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (fma.f64 (pow.f64 v 4) (fma.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (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)))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (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 (.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))))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 4/3 (/.f64 (pow.f64 v 7) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64))))))))
(fma.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/108) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3))))
(+.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)))))))
(fma.f64 4/3 (/.f64 (fma.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))) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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))))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 4/3 (/.f64 (+.f64 (-.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 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 4/3 (/.f64 (pow.f64 v 7) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64)))))))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 9)) (fma.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/108) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)))))
(.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 (pow.f64 v 3)) (/.f64 (sqrt.f64 -1/6) (PI.f64)))
(*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (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)))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (.f64 -4/3 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))
(fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (.f64 (/.f64 -4/3 (pow.f64 v 5)) (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (.f64 -4/3 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))
(fma.f64 -4/3 (+.f64 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/108) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7))) (.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 -4/3 (/.f64 (fma.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))) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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))))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 -4/3 (/.f64 (+.f64 (-.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 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (.f64 -4/3 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))))
(fma.f64 -4/3 (+.f64 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/108) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7))) (fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (.f64 (/.f64 -4/3 (pow.f64 v 9)) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) 1)
(.f64 -6 (.f64 v v))
(pow.f64 (.f64 v (.f64 v -6)) 1)
(.f64 -6 (.f64 v v))
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(.f64 -6 (.f64 v v))
(pow.f64 (cbrt.f64 (.f64 v (.f64 v -6))) 3)
(.f64 -6 (.f64 v v))
(pow.f64 (*.f64 (pow.f64 v 6) -216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 v 6) -216))
(sqrt.f64 (*.f64 (pow.f64 v 4) 36))
(log.f64 (pow.f64 (exp.f64 v) (*.f64 v -6)))
(.f64 -6 (.f64 v v))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -6)))))
(.f64 -6 (.f64 v v))
(cbrt.f64 (*.f64 (pow.f64 v 6) -216))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v -6))))
(.f64 -6 (.f64 v v))
(exp.f64 (log.f64 (.f64 v (.f64 v -6))))
(.f64 -6 (.f64 v v))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v -6))) 1))
(.f64 -6 (.f64 v v))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v -6))))
(.f64 -6 (.f64 v v))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) 1)
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 4/3 (/.f64 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 1 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))) (cbrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 -6 v) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))) (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (fma.f64 -6 (.f64 v v) 2))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 -6 (.f64 v v) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))) (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))) (cbrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 -6 v) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))) (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (fma.f64 -6 (.f64 v v) 2))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 -6 (.f64 v v) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 4/3)
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 -4/3 (/.f64 -1 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)))))))
(/.f64 (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))) (sqrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))))))
(/.f64 4/3 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (fma.f64 v (.f64 -6 v) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))) (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)))))))
(/.f64 (/.f64 4/3 (cbrt.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))) (cbrt.f64 (.f64 (fma.f64 -6 (.f64 v v) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(/.f64 4/3 (.f64 (cbrt.f64 (.f64 (fma.f64 -6 (.f64 v v) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))
(.f64 (/.f64 -1 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) -4/3)
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36)))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v -6)))))
(/.f64 (.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 -6 (.f64 v v))))) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))) (sqrt.f64 (+.f64 2 (.f64 6 (.f64 v v)))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (/.f64 (sqrt.f64 (fma.f64 6 (*.f64 v v) 2)) (sqrt.f64 (fma.f64 (pow.f64 v 4) -36 4))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 v 6) -216)))) (sqrt.f64 (+.f64 4 (+.f64 (.f64 (pow.f64 v 4) 36) (.f64 -2 (.f64 v (.f64 v -6)))))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 (.f64 (pow.f64 v 6) -216) 8))) (sqrt.f64 (+.f64 4 (fma.f64 (pow.f64 v 4) 36 (.f64 (.f64 -6 (.f64 v v)) -2)))))
(.f64 (/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (pow.f64 v 6) -216 8)))) (sqrt.f64 (+.f64 4 (fma.f64 (pow.f64 v 4) 36 (.f64 (.f64 v v) 12)))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 v 4) 36 (fma.f64 (*.f64 v v) 12 4))) (sqrt.f64 (fma.f64 (pow.f64 v 6) -216 8))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))
(.f64 (fma.f64 v v 1) (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (fma.f64 v v 1) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (+.f64 (.f64 v v) (+.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)) (-.f64 1 (pow.f64 v 6)))) (fma.f64 v v (+.f64 1 (pow.f64 v 4))))
(.f64 (+.f64 (pow.f64 v 4) (fma.f64 v v 1)) (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))
(.f64 (fma.f64 v v 1) (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (fma.f64 v v 1) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 (.f64 v v) (+.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)) (-.f64 1 (pow.f64 v 6)))) (fma.f64 v v (+.f64 1 (pow.f64 v 4))))
(.f64 (+.f64 (pow.f64 v 4) (fma.f64 v v 1)) (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))
(.f64 (fma.f64 v v 1) (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (fma.f64 v v 1) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 (.f64 v v) (+.f64 1 (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)) (-.f64 1 (pow.f64 v 6)))) (fma.f64 v v (+.f64 1 (pow.f64 v 4))))
(.f64 (+.f64 (pow.f64 v 4) (fma.f64 v v 1)) (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 (/.f64 4/3 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(pow.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1)
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(pow.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) 2)
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) 3)
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(pow.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 3) 1/3)
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 3/4) -1)
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(sqrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))
(sqrt.f64 (/.f64 16/9 (.f64 (fma.f64 v (.f64 -6 v) 2) (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(sqrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (fma.f64 -6 (*.f64 v v) 2)))
(sqrt.f64 (/.f64 (/.f64 16/9 (fma.f64 -6 (.f64 v v) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 3))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(expm1.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(exp.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) 1))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(log1p.f64 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))
(/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)) (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 15 computations (6.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite63.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`associate-/r*`
894×	`associate-/l*`
848×	`*-commutative`
798×	`associate-*r/`
544×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	204	13
2	2467	13

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)) (sqrt.f64 (sqrt.f64 8/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)) (cbrt.f64 8/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)) (/.f64 (cbrt.f64 8/9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))) (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 (sqrt.f64 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (neg.f64 (sqrt.f64 8/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (/.f64 (PI.f64) (pow.f64 1/2 1/4))) (pow.f64 1/2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (PI.f64) 4/3)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (neg.f64 (PI.f64))) (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (/.f64 (PI.f64) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (PI.f64) (cbrt.f64 8/9))) (cbrt.f64 (sqrt.f64 8/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1/2) (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 8/9) (/.f64 -1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))

simplify95.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-+r+`
1050×	`associate-+l+`
648×	`associate-*r/`
578×	`associate-/l*`
520×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1760
1	384	1660
2	1151	1648
3	4398	1648

Stop Event

1×	node limit

Counts

70 → 89

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 -1 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)) (sqrt.f64 (sqrt.f64 8/9)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)) (cbrt.f64 8/9))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)) (/.f64 (cbrt.f64 8/9) 1))
(*.f64 (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))) (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (sqrt.f64 1/2) 1))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (sqrt.f64 8/9)))
(*.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 4/3 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4/3 (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (/.f64 4/3 (/.f64 (PI.f64) (pow.f64 1/2 1/4))) (pow.f64 1/2 1/4))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4/3)) (sqrt.f64 1/2))
(*.f64 (/.f64 4/3 (neg.f64 (PI.f64))) (neg.f64 (sqrt.f64 1/2)))
(*.f64 (/.f64 4/3 (/.f64 (PI.f64) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (cbrt.f64 8/9))) (cbrt.f64 (sqrt.f64 8/9)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (sqrt.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1/2) (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1/2))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 8/9)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))) 1))
(neg.f64 (*.f64 (sqrt.f64 8/9) (/.f64 -1 (PI.f64))))
(neg.f64 (*.f64 1 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64)))))
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (cbrt.f64 8/9) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 -1 (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)) (sqrt.f64 (sqrt.f64 8/9)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)) (cbrt.f64 8/9))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (cbrt.f64 8/9) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)) (/.f64 (cbrt.f64 8/9) 1))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (cbrt.f64 8/9) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 8/9) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 8/9) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (sqrt.f64 8/9) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (sqrt.f64 8/9) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (sqrt.f64 8/9) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (sqrt.f64 8/9) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (sqrt.f64 1/2)) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 4/3 (sqrt.f64 (PI.f64)))))
(/.f64 4/3 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))) (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (sqrt.f64 1/2) 1))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (sqrt.f64 8/9)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (sqrt.f64 1/2)) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 4/3 (sqrt.f64 (PI.f64)))))
(/.f64 4/3 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))) (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))) (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 4/3 (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))) (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (sqrt.f64 8/9) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (sqrt.f64 8/9) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (sqrt.f64 8/9) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (sqrt.f64 8/9) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (cbrt.f64 8/9) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 8/9) (cbrt.f64 (sqrt.f64 8/9))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 8/9) (cbrt.f64 (sqrt.f64 8/9))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (cbrt.f64 8/9) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (/.f64 4/3 (/.f64 (PI.f64) (pow.f64 1/2 1/4))) (pow.f64 1/2 1/4))
(.f64 (pow.f64 1/2 1/4) (.f64 (/.f64 4/3 (PI.f64)) (pow.f64 1/2 1/4)))
(.f64 (/.f64 4/3 (PI.f64)) (.f64 (pow.f64 1/2 1/4) (pow.f64 1/2 1/4)))
(*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 1/2 1/2))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4/3)) (sqrt.f64 1/2))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (/.f64 4/3 (neg.f64 (PI.f64))) (neg.f64 (sqrt.f64 1/2)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (/.f64 4/3 (/.f64 (PI.f64) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (/.f64 4/3 (PI.f64)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (cbrt.f64 8/9))) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (cbrt.f64 8/9) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 8/9))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (sqrt.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (sqrt.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3/2))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/6))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1/2) (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1/2))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))) 1))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(neg.f64 (*.f64 (sqrt.f64 8/9) (/.f64 -1 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(neg.f64 (*.f64 1 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64)))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))

localize19.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 44 to 27 computations (38.6% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite47.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`add-sqr-sqrt`
1168×	`*-un-lft-identity`
1112×	`pow1`
1096×	`add-cube-cbrt`
1086×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	126	9
2	1477	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(/.f64 4/3 (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))))))

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-/l*`
1130×	`associate-*r/`
1010×	`associate-r`
782×	`associate-l`
740×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	450
1	103	348
2	459	246
3	2685	246

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) 1)
(*.f64 4/3 (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) 1)
(*.f64 1 (/.f64 4/3 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) 4/3)
(*.f64 -4/3 (/.f64 1 (neg.f64 (PI.f64))))
(pow.f64 (/.f64 4/3 (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)
(pow.f64 (*.f64 (PI.f64) 3/4) -1)
(sqrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))
(exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))

Outputs
(-.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) 1)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 4/3 (/.f64 1 (PI.f64)))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) 1)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 1 (/.f64 4/3 (PI.f64)))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 1 (PI.f64)) 4/3)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 -4/3 (/.f64 1 (neg.f64 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (/.f64 4/3 (PI.f64)) 1)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (*.f64 (PI.f64) 3/4) -1)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(sqrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))

eval162.0ms (5.1%)

Compiler: Compiled 5926 to 4631 computations (21.9% saved)

prune33.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	252	3	255
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	253	6	259

Error

Counts

259 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.6b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	0.6b	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
▶	1.6b	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	0.0b	(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
▶	0.6b	(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))

Compiler

Compiled 78 to 65 computations (16.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite80.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`add-sqr-sqrt`
1842×	`*-un-lft-identity`
1722×	`add-cube-cbrt`
1704×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	205	19
2	2345	19

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 4/3 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) -4/3) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 (sqrt.f64 1/2)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4/3 (sqrt.f64 1/2))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (pow.f64 (/.f64 4/3 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))))))

simplify44.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1620×	`associate-/r/`
1052×	`associate-r`
938×	`associate-l`
532×	`associate-+r+`
530×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	443
1	148	443
2	542	443
3	4063	443

Stop Event

1×	node limit

Counts

23 → 27

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)))) 1)
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 3/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4/3 (sqrt.f64 1/2))))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 (*.f64 (sqrt.f64 1/2) -4/3) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -4/3 (sqrt.f64 1/2)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 4/3 (sqrt.f64 1/2))) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 3) 1/3)
(sqrt.f64 (*.f64 1/2 (pow.f64 (/.f64 4/3 (PI.f64)) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)))) 1)
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 3/4))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4/3 (sqrt.f64 1/2))))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1/2) -4/3) (neg.f64 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (*.f64 -4/3 (sqrt.f64 1/2)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) 1) (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4/3 (sqrt.f64 1/2))) (neg.f64 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(pow.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 1)
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))) 2)
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))) 3)
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 3) 1/3)
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(sqrt.f64 (*.f64 1/2 (pow.f64 (/.f64 4/3 (PI.f64)) 2)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)))))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) 3))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(exp.f64 (log.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))) 1))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (sqrt.f64 8/9) (PI.f64))

Compiler

Compiled 9 to 8 computations (11.1% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite87.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`add-sqr-sqrt`
1542×	`*-un-lft-identity`
1438×	`add-cube-cbrt`
1422×	`add-cbrt-cube`
1408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	162	13
2	1933	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8/9 1/4) (*.f64 (pow.f64 8/9 1/4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 8/9) (*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 8/9 1/4) 1) (/.f64 (pow.f64 8/9 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 8/9 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 8/9 1/4) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-r`
1214×	`associate-/r/`
1098×	`distribute-rgt-in`
1074×	`distribute-lft-in`
1032×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	877
1	201	715
2	783	583
3	4341	583

Stop Event

1×	node limit

Counts

31 → 40

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1)
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (pow.f64 8/9 1/4) (.f64 (pow.f64 8/9 1/4) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 8/9 1/4) 1) (/.f64 (pow.f64 8/9 1/4) (PI.f64)))
(*.f64 (/.f64 (pow.f64 8/9 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 8/9 1/4) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))

Outputs
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (pow.f64 8/9 1/4) (.f64 (pow.f64 8/9 1/4) (/.f64 1 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 8/9) (.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(/.f64 (*.f64 (cbrt.f64 8/9) (cbrt.f64 (sqrt.f64 8/9))) (PI.f64))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (sqrt.f64 8/9) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (pow.f64 8/9 1/4) 1) (/.f64 (pow.f64 8/9 1/4) (PI.f64)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (pow.f64 8/9 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 8/9 1/4) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (sqrt.f64 8/9) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(/.f64 (*.f64 (cbrt.f64 8/9) (cbrt.f64 (sqrt.f64 8/9))) (PI.f64))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(/.f64 (*.f64 (cbrt.f64 8/9) (cbrt.f64 (sqrt.f64 8/9))) (PI.f64))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))

localize40.0ms (1.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 v v) -6)

Compiler

Compiled 52 to 34 computations (34.6% saved)

eval26.0ms (0.8%)

Compiler: Compiled 1072 to 893 computations (16.7% saved)

prune14.0ms (0.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	109	6	115

Error

Counts

115 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.6b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.6b	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
✓	1.6b	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	0.0b	(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
✓	0.6b	(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))

Compiler

Compiled 78 to 65 computations (16.7% saved)

regimes15.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
2.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Results

Error	Segments	Branch
0.0b	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 145 to 103 computations (29% saved)

regimes8.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	v
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.0b	1	`v`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 67 to 49 computations (26.9% saved)

regimes8.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	v
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.6b	1	`v`
0.6b	1	`(*.f64 v v)`

Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
0.6b	1	`v`
0.6b	1	`(*.f64 v v)`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-156%)

Threshold costs -1.0b (-156%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.6b	1	`v`

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
12×	`+-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	222
1	51	222
2	59	222
3	63	222
4	65	222

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 78 to 65 computations (16.7% saved)

soundness190.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1474×	`fma-def`
1168×	`distribute-lft-in`
1088×	`associate--r+`
878×	`distribute-rgt-in`
700×	`distribute-lft-neg-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	45	55
2	117	51
3	311	51
4	821	51
5	1733	47
6	3290	47
7	5650	47

Stop Event

1×	node limit

Compiler

Compiled 155 to 101 computations (34.8% saved)

end42.0ms (1.3%)

Compiler: Compiled 73 to 52 computations (28.8% saved)

Details

analyze33.0ms (1.1%)

sample994.0ms (31.5%)

preprocess62.0ms (2%)

simplify66.0ms (2.1%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize25.0ms (0.8%)

series5.0ms (0.1%)

rewrite90.0ms (2.8%)

simplify70.0ms (2.2%)

localize22.0ms (0.7%)

series3.0ms (0.1%)

rewrite101.0ms (3.2%)

simplify124.0ms (3.9%)

eval219.0ms (6.9%)

prune47.0ms (1.5%)

localize27.0ms (0.8%)

series2.0ms (0.1%)

rewrite84.0ms (2.7%)

simplify75.0ms (2.4%)

localize8.0ms (0.3%)

series0.0ms (0%)

rewrite63.0ms (2%)

simplify95.0ms (3%)

localize19.0ms (0.6%)

series0.0ms (0%)

rewrite47.0ms (1.5%)

simplify38.0ms (1.2%)

eval162.0ms (5.1%)

prune33.0ms (1%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite80.0ms (2.6%)

simplify44.0ms (1.4%)

localize5.0ms (0.2%)

series0.0ms (0%)

rewrite87.0ms (2.8%)

simplify47.0ms (1.5%)

localize40.0ms (1.3%)

eval26.0ms (0.8%)

prune14.0ms (0.5%)

regimes15.0ms (0.5%)

regimes8.0ms (0.3%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

simplify9.0ms (0.3%)

soundness190.0ms (6%)

end42.0ms (1.3%)

Profiling