Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.4s (46.6%)

Results

1.4s	8256×	body	256	valid
1.0ms	14×	body	256	invalid

Bogosity

preprocess66.0ms (2.2%)

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)

simplify80.0ms (2.7%)

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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	7	1	8

Error

Counts

8 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize24.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
✓	0.24%	(.f64 (.f64 v v) -6)
✓	1.54%	(/.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	@	inf	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
0.0ms	v	@	0	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
0.0ms	v	@	inf	(.f64 (.f64 v v) -6)
0.0ms	v	@	0	(.f64 (.f64 v v) -6)
0.0ms	v	@	inf	(.f64 (PI.f64) (-.f64 1 (.f64 v v)))

rewrite85.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`associate-*r/`
1204×	`associate-*l/`
744×	`associate-/r*`
474×	`distribute-lft-in`
312×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	277	61
2	3424	61

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

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

Outputs

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

simplify97.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1450×	`associate-/r/`
1224×	`distribute-lft-in`
1194×	`distribute-rgt-in`
1120×	`associate-/l/`
550×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	6247
1	1022	5885
2	4287	5841

Stop Event

1×	node limit

Counts

173 → 225

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))
(PI.f64)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) 1) (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (*.f64 v v)))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (.f64 v v)) (.f64 (/.f64 4/3 (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) 1))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) 1) (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 (*.f64 v v) (pow.f64 v 4))))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 (.f64 v v) (pow.f64 v 4))) (.f64 (/.f64 4/3 (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) 1))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (pow.f64 v 4))) (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (*.f64 v v)))
(-.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) (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (-.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 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) (-.f64 1 (*.f64 v v)))) -4/3)
(.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (/.f64 4/3 (PI.f64)))
(.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 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 1 (.f64 v v)))) (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)) (sqrt.f64 (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 1 (pow.f64 v 4)))) (sqrt.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)))))
(.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))))
(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 (pow.f64 (/.f64 (/.f64 4/3 (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 (pow.f64 (.f64 v (.f64 v -6)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 v 4) 36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -6)))))
(cbrt.f64 (pow.f64 (.f64 v (.f64 v -6)) 3))
(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 (PI.f64) (.f64 (PI.f64) (.f64 v (neg.f64 v))))
(+.f64 (PI.f64) (.f64 (.f64 v (neg.f64 v)) (PI.f64)))
(+.f64 (PI.f64) (.f64 (PI.f64) (.f64 (*.f64 v (neg.f64 v)) 1)))
(+.f64 (PI.f64) (.f64 1 (.f64 (PI.f64) (*.f64 v (neg.f64 v)))))
(+.f64 (PI.f64) (.f64 1 (.f64 (*.f64 v (neg.f64 v)) (PI.f64))))
(+.f64 (.f64 (PI.f64) (.f64 v (neg.f64 v))) (PI.f64))
(+.f64 (.f64 (.f64 v (neg.f64 v)) (PI.f64)) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) (-.f64 1 (.f64 (PI.f64) (.f64 v (neg.f64 v)))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 1)
(/.f64 (PI.f64) (/.f64 1 (-.f64 1 (*.f64 v v))))
(/.f64 1 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 v v)) (/.f64 1 (PI.f64)))
(/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 1)
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (/.f64 1 (.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (PI.f64))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 1 (.f64 (cbrt.f64 (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2) (/.f64 1 (.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) (PI.f64))))
(/.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (-.f64 1 (pow.f64 v 4)) (/.f64 (+.f64 1 (*.f64 v v)) (PI.f64)))
(/.f64 (-.f64 1 (pow.f64 v 6)) (/.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))) (PI.f64)))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 v v)))))
(/.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 v v)))))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 1 (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))
(/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (+.f64 1 (.f64 v v)))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))))) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 (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 (PI.f64) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))
(/.f64 (.f64 (PI.f64) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(/.f64 (.f64 1 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 1 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(/.f64 (.f64 1 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 1 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (+.f64 1 (.f64 v v))))
(/.f64 (.f64 (.f64 (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 (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 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v)))) (PI.f64)) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 v (neg.f64 v)) 3)) (PI.f64)) (+.f64 1 (-.f64 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))) (.f64 v (neg.f64 v)))))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 v 4))) (PI.f64)) (neg.f64 (+.f64 1 (.f64 v v))))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 v 6))) (PI.f64)) (neg.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) 1) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) 1) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) 1) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) 1) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 4))) (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 v v))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) 1) (+.f64 1 (.f64 v v)))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (sqrt.f64 (+.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 1 (*.f64 v v))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (.f64 (cbrt.f64 (+.f64 1 (.f64 v v))) (cbrt.f64 (+.f64 1 (.f64 v v))))) (cbrt.f64 (+.f64 1 (*.f64 v v))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) 1) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) 1) (+.f64 1 (.f64 v v)))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 1 (*.f64 v v))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (.f64 (cbrt.f64 (+.f64 1 (.f64 v v))) (cbrt.f64 (+.f64 1 (.f64 v v))))) (cbrt.f64 (+.f64 1 (*.f64 v v))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) 1) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 1)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (-.f64 1 (.f64 v v)) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(exp.f64 (log.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))

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)))
(*.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))
(+.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))))
(*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))
(+.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)) (*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 (/.f64 -4/3 (*.f64 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 -4/3 (.f64 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 -4/3 (.f64 v v)) (PI.f64)) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (/.f64 4/3 (pow.f64 v 6)) (PI.f64)))
(+.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (-.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 -4/3 (.f64 v v)) (PI.f64)) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (/.f64 4/3 (pow.f64 v 6)) (PI.f64))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))
(-.f64 (+.f64 (/.f64 (/.f64 -4/3 (.f64 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 (/.f64 -4/3 (*.f64 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 -4/3 (.f64 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 -4/3 (.f64 v v)) (PI.f64)) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (/.f64 4/3 (pow.f64 v 6)) (PI.f64)))
(+.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (-.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 -4/3 (.f64 v v)) (PI.f64)) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (/.f64 4/3 (pow.f64 v 6)) (PI.f64))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))
(-.f64 (+.f64 (/.f64 (/.f64 -4/3 (.f64 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))
(PI.f64)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (.f64 (PI.f64) (.f64 v v)))
(.f64 (PI.f64) (neg.f64 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (.f64 (PI.f64) (.f64 v v)))
(.f64 (PI.f64) (neg.f64 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) 1) (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (*.f64 v v)))
(/.f64 (.f64 4/3 (+.f64 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(*.f64 4/3 (/.f64 (/.f64 (fma.f64 v v 1) (PI.f64)) (-.f64 1 (pow.f64 v 4))))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (.f64 v v)) (.f64 (/.f64 4/3 (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) 1))
(/.f64 (.f64 4/3 (+.f64 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(*.f64 4/3 (/.f64 (/.f64 (fma.f64 v v 1) (PI.f64)) (-.f64 1 (pow.f64 v 4))))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) 1) (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 (*.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (/.f64 4/3 (-.f64 1 (pow.f64 v 6))) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 4/3 (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(/.f64 4/3 (*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 (.f64 v v) (pow.f64 v 4))) (.f64 (/.f64 4/3 (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) 1))
(*.f64 (/.f64 (/.f64 4/3 (-.f64 1 (pow.f64 v 6))) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 4/3 (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(/.f64 4/3 (*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))))
(+.f64 (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (pow.f64 v 4))) (.f64 (/.f64 4/3 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (*.f64 v v)))
(*.f64 (/.f64 (/.f64 4/3 (-.f64 1 (pow.f64 v 6))) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 4/3 (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(/.f64 4/3 (*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))))
(-.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) (-.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 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (/.f64 4/3 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 4/3 (.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 1 (/.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))))) (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 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(*.f64 4/3 (/.f64 (/.f64 (fma.f64 v v 1) (PI.f64)) (-.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 (/.f64 4/3 (-.f64 1 (pow.f64 v 6))) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 4/3 (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(/.f64 4/3 (*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))))
(.f64 (/.f64 -1 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) -4/3)
(/.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 4/3 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
(/.f64 (.f64 4/3 (+.f64 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(*.f64 4/3 (/.f64 (/.f64 (fma.f64 v v 1) (PI.f64)) (-.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 (/.f64 4/3 (-.f64 1 (pow.f64 v 6))) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 4/3 (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(/.f64 4/3 (*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))))
(.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 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(*.f64 4/3 (/.f64 (/.f64 (fma.f64 v v 1) (PI.f64)) (-.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 (/.f64 4/3 (-.f64 1 (pow.f64 v 6))) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 4/3 (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(/.f64 4/3 (*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))
(/.f64 (.f64 4/3 (+.f64 1 (.f64 v v))) (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (fma.f64 v v 1) (-.f64 1 (pow.f64 v 4))))
(*.f64 4/3 (/.f64 (/.f64 (fma.f64 v v 1) (PI.f64)) (-.f64 1 (pow.f64 v 4))))
(.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 1 (pow.f64 v 6))) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 4/3 (/.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))))
(/.f64 4/3 (*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (*.f64 v v))))) (sqrt.f64 (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (+.f64 1 (fma.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)) (.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 1 (pow.f64 v 6))))) (sqrt.f64 (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (+.f64 1 (*.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 4))) (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 (PI.f64)) (.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 1 (pow.f64 v 4))))) (hypot.f64 1 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)))))
(.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 4/3 (.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2) (cbrt.f64 (-.f64 1 (pow.f64 v 6)))))) (cbrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2) (cbrt.f64 (-.f64 1 (pow.f64 v 6)))))) (cbrt.f64 (+.f64 (pow.f64 v 4) (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 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 4/3 (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2) (.f64 (PI.f64) (cbrt.f64 (-.f64 1 (pow.f64 v 4)))))) (cbrt.f64 (fma.f64 v v 1)))
(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 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2))
(sqrt.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2))
(fabs.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(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 (pow.f64 (.f64 v (.f64 v -6)) 3) 1/3)
(.f64 v (.f64 v -6))
(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 (pow.f64 (.f64 v (.f64 v -6)) 3))
(.f64 v (.f64 v -6))
(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 (PI.f64) (.f64 (PI.f64) (.f64 v (neg.f64 v))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (PI.f64) (.f64 (.f64 v (neg.f64 v)) (PI.f64)))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (PI.f64) (.f64 (PI.f64) (.f64 (*.f64 v (neg.f64 v)) 1)))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (PI.f64) (.f64 1 (.f64 (PI.f64) (*.f64 v (neg.f64 v)))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (PI.f64) (.f64 1 (.f64 (*.f64 v (neg.f64 v)) (PI.f64))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 (PI.f64) (.f64 v (neg.f64 v))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 (.f64 v (neg.f64 v)) (PI.f64)) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) (-.f64 1 (.f64 (PI.f64) (.f64 v (neg.f64 v)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1) (.f64 (PI.f64) (neg.f64 (.f64 v v))))
(-.f64 (expm1.f64 (log1p.f64 (PI.f64))) (.f64 (PI.f64) (.f64 v v)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (PI.f64))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1) (.f64 (PI.f64) (neg.f64 (.f64 v v))))
(-.f64 (expm1.f64 (log1p.f64 (PI.f64))) (.f64 (PI.f64) (.f64 v v)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 1)
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(/.f64 (PI.f64) (/.f64 1 (-.f64 1 (*.f64 v v))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(/.f64 1 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(/.f64 (-.f64 1 (*.f64 v v)) (/.f64 1 (PI.f64)))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 1)
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (PI.f64))))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (/.f64 1 (.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) 1) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 1 (.f64 v v)))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 1 (.f64 (cbrt.f64 (PI.f64)) (-.f64 1 (.f64 v v)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (.f64 (-.f64 1 (*.f64 v v)) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (-.f64 1 (*.f64 v v)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2) (/.f64 1 (.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2) 1) (.f64 (PI.f64) (cbrt.f64 (-.f64 1 (.f64 v v)))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) (.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)))
(/.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 1) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 1) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (-.f64 1 (pow.f64 v 4)) (/.f64 (+.f64 1 (*.f64 v v)) (PI.f64)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (-.f64 1 (pow.f64 v 6)) (/.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))) (PI.f64)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) 1) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 1 (.f64 v v)))))
(/.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2) 1) (.f64 (PI.f64) (cbrt.f64 (-.f64 1 (.f64 v v)))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) (.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (PI.f64))))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (-.f64 1 (.f64 v v)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 1 (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (.f64 (-.f64 1 (*.f64 v v)) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (-.f64 1 (*.f64 v v)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (-.f64 1 (.f64 v v)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 (PI.f64) (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 (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 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 (PI.f64) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 (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 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 1 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 1 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 1 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64))) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 1 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 1 (pow.f64 v 6)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (sqrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (sqrt.f64 (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (*.f64 v v)))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 1 (pow.f64 v 4)))) (sqrt.f64 (+.f64 1 (.f64 v v))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 4))) (/.f64 (hypot.f64 1 v) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 4))) (hypot.f64 1 v)) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (*.f64 v v)))))
(/.f64 (.f64 (.f64 (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 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (cbrt.f64 (-.f64 1 (pow.f64 v 6)))))
(.f64 (/.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (cbrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))))) (cbrt.f64 (-.f64 1 (pow.f64 v 6))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 v 6))) (cbrt.f64 (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))) (.f64 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)))
(/.f64 (.f64 (.f64 (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 (PI.f64) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 v v))) (cbrt.f64 (-.f64 1 (pow.f64 v 4)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 v v))) 2) (*.f64 (PI.f64) (cbrt.f64 (-.f64 1 (pow.f64 v 4))))) (cbrt.f64 (fma.f64 v v 1)))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (fma.f64 v v 1))) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2) (cbrt.f64 (-.f64 1 (pow.f64 v 4)))))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v)))) (PI.f64)) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 v (neg.f64 v)) 3)) (PI.f64)) (+.f64 1 (-.f64 (.f64 (.f64 v (neg.f64 v)) (.f64 v (neg.f64 v))) (.f64 v (neg.f64 v)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 v 4))) (PI.f64)) (neg.f64 (+.f64 1 (.f64 v v))))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 v 6))) (PI.f64)) (neg.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) 1) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) 1) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) 1) (+.f64 1 (*.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) 1) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (sqrt.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 6))) (sqrt.f64 (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (*.f64 v v)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 4))) (.f64 (sqrt.f64 (-.f64 1 (.f64 v v))) (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 v v))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 4))) (/.f64 (hypot.f64 1 v) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (.f64 v v))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 4))) (hypot.f64 1 v)) (.f64 (PI.f64) (sqrt.f64 (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) 1) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (sqrt.f64 (+.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 1 (*.f64 v v))))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (.f64 (cbrt.f64 (+.f64 1 (.f64 v v))) (cbrt.f64 (+.f64 1 (.f64 v v))))) (cbrt.f64 (+.f64 1 (*.f64 v v))))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) 1) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (/.f64 (.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) 1) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 1 (*.f64 v v))))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (.f64 (cbrt.f64 (+.f64 1 (.f64 v v))) (cbrt.f64 (+.f64 1 (.f64 v v))))) (cbrt.f64 (+.f64 1 (*.f64 v v))))
(.f64 (/.f64 (-.f64 1 (pow.f64 v 4)) (+.f64 1 (.f64 v v))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) 1) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (sqrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (PI.f64) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))))
(pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 1)
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3)
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(pow.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 3) 1/3)
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))
(fabs.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 3))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (-.f64 1 (.f64 v v)) 3)))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 3) (pow.f64 (PI.f64) 3)))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(exp.f64 (log.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))

eval101.0ms (3.4%)

Compiler: Compiled 6052 to 4000 computations (33.9% saved)

prune91.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	224	2	226

Error

Counts

226 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	0.59%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))

Compiler

Compiled 32 to 25 computations (21.9% saved)

localize16.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
	0.24%	(.f64 (.f64 v v) -6)
✓	1.56%	(/.f64 4/3 (PI.f64))

Compiler

Compiled 44 to 27 computations (38.6% saved)

series22.0ms (0.7%)

Counts

2 → 12

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	v	@	inf	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
1.0ms	v	@	0	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
0.0ms	v	@	-inf	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))

Time

Variable

Point

Expression

20.0ms

inf

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

1.0ms

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

0.0ms

-inf

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

rewrite78.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`associate-/r*`
950×	`associate-/l*`
502×	`distribute-rgt-in`
478×	`associate-/r/`
462×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	324	42
2	4123	42

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

Outputs

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

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

simplify102.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1710×	`associate-/r*`
1420×	`unswap-sqr`
646×	`distribute-rgt-in`
646×	`distribute-lft-in`
558×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	3604
1	721	3490
2	2971	3412

Stop Event

1×	node limit

Counts

86 → 145

Calls

Call 1

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

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (pow.f64 v 4)) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4))) (.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (PI.f64))))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (fma.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64)) (.f64 (/.f64 (pow.f64 v 6) (sqrt.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)))) (PI.f64)))) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))) (.f64 (/.f64 2/3 (sqrt.f64 1/2)) (+.f64 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (PI.f64)) (/.f64 (.f64 (pow.f64 v 6) 135/16) (PI.f64)))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))
(*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) (/.f64 -1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) (fma.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 -1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 -2/3 (+.f64 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 (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) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(+.f64 (fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) (/.f64 -1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (.f64 (/.f64 -2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3)
(*.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) -4/3)
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3 (/.f64 (/.f64 1/27 (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (PI.f64)))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) -4/3 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))))
(+.f64 (/.f64 (/.f64 1/27 (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (PI.f64)) (fma.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)))
(+.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) -4/3 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (.f64 (/.f64 2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 2/3 (+.f64 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))))))
(+.f64 (/.f64 (/.f64 1/27 (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (PI.f64)) (fma.f64 2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 (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) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)))
(+.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) -4/3 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (.f64 (/.f64 2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (PI.f64)))) 1)
(/.f64 4/3 (PI.f64))
(*.f64 4/3 (/.f64 1 (PI.f64)))
(/.f64 4/3 (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) 1)
(/.f64 4/3 (PI.f64))
(*.f64 1 (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (PI.f64))
(*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2))
(/.f64 4/3 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) 4/3)
(/.f64 4/3 (PI.f64))
(*.f64 -4/3 (/.f64 -1 (PI.f64)))
(/.f64 4/3 (PI.f64))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 4/3 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 4/3 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(/.f64 4/3 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 -1 (PI.f64)) -4/3)
(/.f64 4/3 (PI.f64))
(pow.f64 (/.f64 4/3 (PI.f64)) 1)
(/.f64 4/3 (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)
(/.f64 4/3 (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)
(/.f64 4/3 (PI.f64))
(pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)
(/.f64 4/3 (PI.f64))
(pow.f64 (*.f64 (PI.f64) 3/4) -1)
(/.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 4/3 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (PI.f64)))))
(/.f64 4/3 (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))
(/.f64 4/3 (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1))
(/.f64 4/3 (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) 1)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))
(.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 1 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))
(.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)) (fma.f64 v (.f64 v -6) 2))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (*.f64 v -6) 2)) (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)) (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)) (fma.f64 v (.f64 v -6) 2))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (*.f64 v -6) 2)) (pow.f64 (PI.f64) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))
(.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.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 4/3 (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))
(/.f64 4/3 (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (.f64 (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 4/3 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 4/3 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (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 1 (PI.f64)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)) 4/3)
(.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))
(.f64 (/.f64 -1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 -4/3 (PI.f64)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (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 1 (PI.f64)) (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 4/3 (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))
(/.f64 4/3 (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (.f64 (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 1 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 4/3 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 4/3 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (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 4/3 (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))
(/.f64 4/3 (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) 4/3)) (/.f64 1 (PI.f64)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4))))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) -6))))
(.f64 (/.f64 4/3 (.f64 (sqrt.f64 (+.f64 4 (.f64 -36 (pow.f64 v 4)))) (PI.f64))) (sqrt.f64 (-.f64 2 (.f64 -6 (*.f64 v v)))))
(.f64 (/.f64 4/3 (.f64 (PI.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) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 8 (.f64 -216 (pow.f64 (.f64 v v) 3))))) (sqrt.f64 (+.f64 (.f64 36 (pow.f64 v 4)) (-.f64 4 (.f64 -12 (.f64 v v))))))
(/.f64 (.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 36 (pow.f64 v 4) (-.f64 4 (.f64 (.f64 -12 v) v))))) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 v 6) -216))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v 6) -216 8))) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 v 4) 36 4) (.f64 (*.f64 v v) 12))))
(/.f64 (.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v 4) 36 (+.f64 4 (.f64 (*.f64 v v) 12))))) (sqrt.f64 (fma.f64 (pow.f64 v 6) -216 8)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2))) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(.f64 (/.f64 4/3 (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (neg.f64 (PI.f64))) -4/3)
(.f64 -4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (neg.f64 (PI.f64))))
(pow.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(pow.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 2)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 3)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(pow.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 3) 1/3)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (*.f64 (PI.f64) 3/4)) -1)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(neg.f64 (/.f64 4/3 (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(sqrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)) (fma.f64 v (*.f64 v -6) 2)))
(sqrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (*.f64 v -6) 2)) (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(cbrt.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 3))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)))
(cbrt.f64 (/.f64 (/.f64 64/27 (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)))
(cbrt.f64 (/.f64 64/27 (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2) (pow.f64 (PI.f64) 3))))
(expm1.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(exp.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(log1p.f64 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))

eval72.0ms (2.4%)

Compiler: Compiled 3452 to 2714 computations (21.4% saved)

prune20.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	160	4	164

Error

Counts

164 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.59%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	0.59%	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
▶	2.16%	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 54 to 45 computations (16.7% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.56%	(/.f64 (sqrt.f64 1/2) (PI.f64))

Compiler

Compiled 16 to 14 computations (12.5% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite53.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`add-sqr-sqrt`
1528×	`*-un-lft-identity`
1420×	`add-cube-cbrt`
1404×	`add-cbrt-cube`
1390×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	161	13
2	1911	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-r`
1246×	`associate-/r/`
1098×	`distribute-rgt-in`
1078×	`distribute-lft-in`
1044×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	877
1	200	715
2	782	583
3	4323	583

Stop Event

1×	node limit

Counts

31 → 41

Calls

Call 1

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

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

localize19.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
	0.24%	(.f64 (.f64 v v) -6)

Compiler

Compiled 52 to 34 computations (34.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite76.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`associate-/r*`
1212×	`associate-/l*`
524×	`associate-/r/`
484×	`distribute-lft-in`
404×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	357	33
2	4409	33

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify74.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1546×	`associate-/l*`
1206×	`associate-*r/`
1204×	`associate-/r*`
1074×	`times-frac`
880×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	3908
1	716	3730
2	2441	3652

Stop Event

1×	node limit

Counts

70 → 135

Calls

Call 1

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

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64))) (.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (+.f64 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (PI.f64))))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (fma.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64)) (.f64 (/.f64 (pow.f64 v 6) (sqrt.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)) (PI.f64)))) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))) (.f64 (/.f64 2/3 (sqrt.f64 1/2)) (+.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 (pow.f64 v 6) (/.f64 135/16 (PI.f64))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (sqrt.f64 -1/6) v))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 -1/27 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 -1/27 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 -2/3 (+.f64 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 (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) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (/.f64 -1/27 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 -1/27 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))) (.f64 (/.f64 (/.f64 -2/3 (sqrt.f64 -1/6)) (PI.f64)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3)
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (sqrt.f64 -1/6) v))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3 (/.f64 1/27 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3 (/.f64 (/.f64 (/.f64 1/27 (pow.f64 v 3)) (sqrt.f64 -1/6)) (PI.f64)))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))))
(+.f64 (/.f64 1/27 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3)))) (fma.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3 (/.f64 (/.f64 (/.f64 1/27 (pow.f64 v 3)) (sqrt.f64 -1/6)) (PI.f64))) (.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 2/3 (*.f64 (PI.f64) (pow.f64 v 5)))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 2/3 (+.f64 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))))))
(+.f64 (/.f64 1/27 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3)))) (fma.f64 2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 (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) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3 (/.f64 (/.f64 (/.f64 1/27 (pow.f64 v 3)) (sqrt.f64 -1/6)) (PI.f64))) (.f64 (/.f64 2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))) 1)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 1 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 1 (PI.f64)) (.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) 4/3))
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64))) 1)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (sqrt.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))) (sqrt.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -2) (/.f64 (fma.f64 v (.f64 v -6) 2) 16/9))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -2) (/.f64 (fma.f64 v (.f64 v -6) 2) 16/9))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (.f64 16/9 (/.f64 (pow.f64 (PI.f64) -2) (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (.f64 16/9 (/.f64 (pow.f64 (PI.f64) -2) (fma.f64 v (.f64 v -6) 2)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -2) (/.f64 (fma.f64 v (.f64 v -6) 2) 16/9))) (cbrt.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -2) (/.f64 (fma.f64 v (.f64 v -6) 2) 16/9))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (.f64 16/9 (/.f64 (pow.f64 (PI.f64) -2) (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (.f64 16/9 (/.f64 (pow.f64 (PI.f64) -2) (fma.f64 v (.f64 v -6) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (cbrt.f64 (/.f64 4/3 (PI.f64)))))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (cbrt.f64 (/.f64 4/3 (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9))))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.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 4/3 (PI.f64)) (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 4/3 (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 4/3 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (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 1 (PI.f64)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (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 1 (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64))) 4/3)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) 4/3) (/.f64 1 (PI.f64)))
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(.f64 (/.f64 -1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 -4/3 (PI.f64)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 1 (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (PI.f64))) (/.f64 4/3 (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 4/3 (.f64 (PI.f64) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))
(.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 4/3 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(.f64 (/.f64 4/3 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 4/3 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 4/3 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) 1) (/.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (/.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))
(/.f64 (.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -2) 16/9))))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) 1) (/.f64 1 (PI.f64)))
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) -1/2))
(.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))) (pow.f64 (PI.f64) -1/2))
(.f64 (.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (/.f64 4/3 (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) -1/2))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 1 (cbrt.f64 (PI.f64))))
(.f64 (/.f64 4/3 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))) (/.f64 1 (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 4/3 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (cbrt.f64 (PI.f64))) (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 3/4)) (pow.f64 (PI.f64) -1/2))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (/.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -2) 16/9)))) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (/.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) -2) 16/9)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (/.f64 (/.f64 1 (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) -4/3)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 v v) 3) -216)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) 36) (-.f64 4 (.f64 -12 (.f64 v v))))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 v 6) -216)))) (sqrt.f64 (fma.f64 (pow.f64 v 4) 36 (+.f64 4 (.f64 12 (.f64 v v))))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v 6) -216 8)))) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 v 4) 36 4) (.f64 (.f64 v v) 12))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v 6) -216 8)))) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 v 4) 36 4) (.f64 v (.f64 v 12)))))
(.f64 (/.f64 (/.f64 4/3 (PI.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)) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))) (sqrt.f64 (fma.f64 6 (*.f64 v v) 2)))
(/.f64 (sqrt.f64 (fma.f64 6 (.f64 v v) 2)) (/.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (/.f64 4/3 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) -2)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 3/4)) (/.f64 1 (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) -2)) (.f64 3/4 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) -2)) (.f64 3/4 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) -2)) (.f64 (cbrt.f64 (PI.f64)) (.f64 3/4 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (/.f64 (.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)) (neg.f64 (PI.f64))) -1)
(.f64 4/3 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))
(.f64 4/3 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 4/3 (PI.f64)))
(pow.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))) 1)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(pow.f64 (sqrt.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))) 2)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))) 3)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(pow.f64 (pow.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))) 3) 1/3)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (*.f64 3/4 (PI.f64))) -1)
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(neg.f64 (/.f64 4/3 (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) -2) (/.f64 (fma.f64 v (*.f64 v -6) 2) 16/9)))
(sqrt.f64 (.f64 16/9 (/.f64 (pow.f64 (PI.f64) -2) (fma.f64 v (.f64 v -6) 2))))
(log.f64 (exp.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(cbrt.f64 (pow.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64))) 3))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)))
(cbrt.f64 (/.f64 (/.f64 64/27 (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)))
(cbrt.f64 (/.f64 64/27 (.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2) (pow.f64 (PI.f64) 3))))
(expm1.f64 (log1p.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(exp.f64 (log.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (PI.f64)))) 1))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(log1p.f64 (expm1.f64 (/.f64 4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (PI.f64)))))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))

eval117.0ms (3.9%)

Compiler: Compiled 3801 to 3042 computations (20% saved)

prune24.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	192	5	197

Error

Counts

197 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.59%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.59%	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
▶	0.63%	(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
✓	2.16%	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 61 to 52 computations (14.8% saved)

localize28.0ms (0.9%)

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

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.59%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.59%	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
✓	0.63%	(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
✓	2.16%	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 61 to 52 computations (14.8% saved)

regimes13.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

Results

Error	Segments	Branch
0%	1	`v`
0%	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0%	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0%	1	`(*.f64 v v)`

Compiler

Compiled 123 to 88 computations (28.5% saved)

regimes8.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.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
0.59%	1	`v`
0.59%	1	`(*.f64 v v)`

Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes6.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.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
0.59%	1	`v`
0.59%	1	`(*.f64 v v)`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes5.0ms (0.2%)

Accuracy

Total -1.0b remaining (-243.5%)

Threshold costs -1b (-243.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.63%	1	`v`

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
10×	`+-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	173
1	41	173
2	49	173
3	53	173
4	55	173

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

Compiler

Compiled 61 to 52 computations (14.8% saved)

soundness199.0ms (6.7%)

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)

end40.0ms (1.3%)

Compiler: Compiled 57 to 42 computations (26.3% saved)

Details

analyze6.0ms (0.2%)

sample1.4s (46.6%)

preprocess66.0ms (2.2%)

simplify80.0ms (2.7%)

eval2.0ms (0.1%)

prune1.0ms (0%)

localize24.0ms (0.8%)

series3.0ms (0.1%)

rewrite85.0ms (2.8%)

simplify97.0ms (3.3%)

eval101.0ms (3.4%)

prune91.0ms (3%)

localize16.0ms (0.5%)

series22.0ms (0.7%)

rewrite78.0ms (2.6%)

simplify102.0ms (3.4%)

eval72.0ms (2.4%)

prune20.0ms (0.7%)

localize9.0ms (0.3%)

series0.0ms (0%)

rewrite53.0ms (1.8%)

simplify48.0ms (1.6%)

localize19.0ms (0.6%)

series1.0ms (0%)

rewrite76.0ms (2.5%)

simplify74.0ms (2.5%)

eval117.0ms (3.9%)

prune24.0ms (0.8%)

localize28.0ms (0.9%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes13.0ms (0.4%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

simplify7.0ms (0.2%)

soundness199.0ms (6.7%)

end40.0ms (1.3%)

Profiling