Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.5s (27.7%)

Results

1.5s	8256×	body	256	valid
1.0ms	6×	body	256	invalid

Bogosity

preprocess63.0ms (1.2%)

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)

simplify71.0ms (1.3%)

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%)

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

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	4	3	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	4	8

Error

Counts

8 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
▶	0.0b	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Status

Error

Program

▶

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

▶

0.0b

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

▶

1.0b

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

Compiler

Compiled 57 to 43 computations (24.6% saved)

localize78.0ms (1.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 86 to 52 computations (39.5% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite104.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	152
1	431	146
2	5377	146

Stop Event

1×	node limit

Counts

4 → 90

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (.f64 v v))) (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))) (/.f64 4 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 2 (.f64 (.f64 v v) -6)) (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)))) (/.f64 4 (cbrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (PI.f64)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 8 (.f64 216 (pow.f64 v 6))))) (sqrt.f64 (+.f64 (.f64 12 (.f64 v v)) (+.f64 4 (.f64 36 (pow.f64 v 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4))))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 6)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (-.f64 1 (pow.f64 v 4)) (.f64 3 (PI.f64)))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (.f64 (-.f64 1 (pow.f64 v 6)) (.f64 3 (PI.f64)))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (-.f64 1 (.f64 v v)) (/.f64 4/3 (PI.f64))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 v (.f64 v 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 2 (.f64 (.f64 v v) -6)) 1/4) (pow.f64 (+.f64 2 (.f64 (.f64 v v) -6)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (cbrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 (.f64 (.f64 v v) -6)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 (.f64 (.f64 v v) -6)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 8 (.f64 216 (pow.f64 v 6)))) (sqrt.f64 (+.f64 (.f64 12 (.f64 v v)) (+.f64 4 (.f64 36 (pow.f64 v 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 pow.f64 (+.f64 2 (.f64 (.f64 v v) -6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (.f64 (.f64 v v) -6)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (.f64 (.f64 v v) -6)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (.f64 (.f64 v v) -6)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 2 (.f64 (.f64 v v) -6))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6)))))))))
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simplify166.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1712×	`associate-/l*`
1152×	`associate-+l+`
1114×	`associate-+r+`
836×	`+-commutative`
580×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	8406
1	1259	7872
2	5147	7858

Stop Event

1×	node limit

Counts

138 → 253

Calls

Call 1

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

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

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 39 computations (43.5% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
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 (PI.f64) (-.f64 1 (.f64 v v)))
0.0ms	v	@	inf	(.f64 (.f64 v v) -6)

rewrite95.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`associate-*r/`
1612×	`associate-*l/`
364×	`add-sqr-sqrt`
344×	`pow1`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	364	80
2	4525	80

Stop Event

1×	node limit

Counts

4 → 122

Calls

Call 1

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

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

simplify108.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-/r*`
1216×	`associate-*r/`
1046×	`associate-/l*`
960×	`associate-*l/`
836×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	6022
1	986	5648
2	3376	5580

Stop Event

1×	node limit

Counts

170 → 243

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

localize61.0ms (1.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 57 to 35 computations (38.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite84.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`associate-*r/`
1248×	`associate-*l/`
1128×	`associate-/r*`
752×	`associate-/l*`
342×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	349	57
2	4111	57

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

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

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

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

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/r*`
812×	`distribute-rgt-in`
810×	`distribute-lft-in`
478×	`associate-/l/`
476×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	3680
1	746	3536
2	3111	3512

Stop Event

1×	node limit

Counts

116 → 185

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

Outputs
(/.f64 4/3 (PI.f64))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (.f64 4/3 (/.f64 1 (PI.f64))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 4/3 (PI.f64)))
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 4/3 (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 4/3 (/.f64 1 (PI.f64))))))
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))))
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))))
(*.f64 4/3 (+.f64 (+.f64 (/.f64 1 (PI.f64)) (/.f64 (pow.f64 v 4) (PI.f64))) (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 6) (PI.f64)))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 v v)))
(/.f64 (/.f64 -4/3 (PI.f64)) (*.f64 v v))
(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 (PI.f64)) (.f64 v v)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))))
(+.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (*.f64 v v)) (/.f64 (/.f64 -4/3 (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 (PI.f64)) (.f64 v v)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))
(+.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (.f64 v v)) (-.f64 (/.f64 (/.f64 -4/3 (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 (PI.f64)) (.f64 v v)) (/.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 -4/3 (PI.f64)) (.f64 v v)) (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 4))) (-.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 v v)))
(/.f64 (/.f64 -4/3 (PI.f64)) (*.f64 v v))
(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 (PI.f64)) (.f64 v v)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))))
(+.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (*.f64 v v)) (/.f64 (/.f64 -4/3 (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 (PI.f64)) (.f64 v v)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))
(+.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (.f64 v v)) (-.f64 (/.f64 (/.f64 -4/3 (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 (PI.f64)) (.f64 v v)) (/.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 -4/3 (PI.f64)) (.f64 v v)) (/.f64 (/.f64 -4/3 (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)))))
4/3
(+.f64 4/3 (*.f64 4/3 (pow.f64 v 2)))
(+.f64 4/3 (.f64 4/3 (.f64 v v)))
(fma.f64 4/3 (*.f64 v v) 4/3)
(+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 4)) (.f64 4/3 (pow.f64 v 2))))
(+.f64 4/3 (.f64 4/3 (+.f64 (pow.f64 v 4) (.f64 v v))))
(fma.f64 4/3 (+.f64 (*.f64 v v) (pow.f64 v 4)) 4/3)
(+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 4)) (+.f64 (.f64 4/3 (pow.f64 v 6)) (*.f64 4/3 (pow.f64 v 2)))))
(+.f64 4/3 (fma.f64 4/3 (pow.f64 v 4) (.f64 4/3 (+.f64 (pow.f64 v 6) (.f64 v v)))))
(+.f64 4/3 (.f64 4/3 (+.f64 (pow.f64 v 4) (+.f64 (.f64 v v) (pow.f64 v 6)))))
(.f64 4/3 (+.f64 (+.f64 (.f64 v v) (pow.f64 v 6)) (+.f64 1 (pow.f64 v 4))))
(/.f64 -4/3 (pow.f64 v 2))
(/.f64 -4/3 (*.f64 v v))
(/.f64 (/.f64 -4/3 v) v)
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 (/.f64 -4/3 v) v))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))
(-.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 (/.f64 -4/3 v) v)) (/.f64 4/3 (pow.f64 v 6)))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (.f64 4/3 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 8)) (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (-.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 (/.f64 -4/3 v) v)) (/.f64 4/3 (pow.f64 v 6))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6)))))
(/.f64 -4/3 (pow.f64 v 2))
(/.f64 -4/3 (*.f64 v v))
(/.f64 (/.f64 -4/3 v) v)
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 (/.f64 -4/3 v) v))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))
(-.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 (/.f64 -4/3 v) v)) (/.f64 4/3 (pow.f64 v 6)))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6))))
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(/.f64 -4/3 (fma.f64 v v -1))
(*.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2))
(/.f64 -4/3 (fma.f64 v v -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2) (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))))
(/.f64 -4/3 (fma.f64 v v -1))
(*.f64 (/.f64 1 (fma.f64 v v -1)) -4/3)
(/.f64 -4/3 (fma.f64 v v -1))
(*.f64 4/3 (/.f64 -1 (fma.f64 v v -1)))
(/.f64 -4/3 (fma.f64 v v -1))
(pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 1)
(/.f64 -4/3 (fma.f64 v v -1))
(pow.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2)
(/.f64 -4/3 (fma.f64 v v -1))
(pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 3)
(/.f64 -4/3 (fma.f64 v v -1))
(pow.f64 (pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 3) 1/3)
(/.f64 -4/3 (fma.f64 v v -1))
(pow.f64 (*.f64 (fma.f64 v v -1) -3/4) -1)
(/.f64 -4/3 (fma.f64 v v -1))
(sqrt.f64 (/.f64 16/9 (pow.f64 (fma.f64 v v -1) 2)))
(log.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1))))
(/.f64 -4/3 (fma.f64 v v -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (fma.f64 v v -1)))))
(/.f64 -4/3 (fma.f64 v v -1))
(cbrt.f64 (pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 3))
(/.f64 -4/3 (fma.f64 v v -1))
(expm1.f64 (log1p.f64 (/.f64 -4/3 (fma.f64 v v -1))))
(/.f64 -4/3 (fma.f64 v v -1))
(exp.f64 (log.f64 (/.f64 -4/3 (fma.f64 v v -1))))
(/.f64 -4/3 (fma.f64 v v -1))
(exp.f64 (*.f64 (log.f64 (/.f64 -4/3 (fma.f64 v v -1))) 1))
(/.f64 -4/3 (fma.f64 v v -1))
(log1p.f64 (expm1.f64 (/.f64 -4/3 (fma.f64 v v -1))))
(/.f64 -4/3 (fma.f64 v v -1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1)
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) 1)
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(.f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4) (pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/4))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (cbrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(.f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (cbrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -6 2)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/2)
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) 1)
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/4) 2)
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 3)
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 v v) -6 2)) 1/2))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))

eval553.0ms (10.3%)

Compiler: Compiled 19254 to 14117 computations (26.7% saved)

prune200.0ms (3.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	676	5	681
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	679	5	684

Error

Counts

684 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
▶	0.3b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	1.3b	(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
▶	0.3b	(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
▶	0.0b	(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))

Compiler

Compiled 130 to 108 computations (16.9% saved)

localize30.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 79 to 50 computations (36.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	-inf	(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
0.0ms	v	@	inf	(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
0.0ms	v	@	0	(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
0.0ms	v	@	0	(.f64 v (.f64 v -6))
0.0ms	v	@	inf	(.f64 v (.f64 v -6))

rewrite108.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`*-commutative`
630×	`unswap-sqr`
540×	`swap-sqr`
376×	`associate-*r/`
362×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	210	32
2	2534	32

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1178×	`distribute-lft-in`
1138×	`associate-/r/`
876×	`associate-/l/`
828×	`associate-r`
692×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	3376
1	517	3066
2	1397	2990
3	4831	2990

Stop Event

1×	node limit

Counts

88 → 143

Calls

Call 1

Inputs
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 -6) v)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(+.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) (exp.f64 (log1p.f64 (.f64 v (.f64 v -6))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 v (*.f64 v -6)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) (exp.f64 (log1p.f64 (.f64 v (.f64 v -6))))) (+.f64 1 (.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 (sqrt.f64 -6)) 6) 1/3)
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(log.f64 (pow.f64 (exp.f64 v) (*.f64 v -6)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -6)))))
(cbrt.f64 (pow.f64 (*.f64 v (sqrt.f64 -6)) 6))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v -6))))
(exp.f64 (log.f64 (.f64 v (.f64 v -6))))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v -6))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) 1)
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (pow.f64 1 1/2))
(.f64 1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
(.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))
(.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)) 2)))
(.f64 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6))) (/.f64 1 (sqrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (.f64 v -6)) -2))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) 6)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)) 2) 1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2) 1/6))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (.f64 v -6)) -2)))) (sqrt.f64 (+.f64 8 (pow.f64 (*.f64 v (sqrt.f64 -6)) 6)))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) 6))) (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36)))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6))) (sqrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (*.f64 v -6)) -2)))))
(/.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6)))) (sqrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (.f64 v -6)) -2)))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) 6))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6)))) (cbrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (*.f64 v -6)) -2)))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))) (cbrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6)))) (sqrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (.f64 v -6)) -2)))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) 6))))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6))) 1) (sqrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (.f64 v -6)) -2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) 1) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) 6))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (*.f64 v -6)) -2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1))))
(pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 1)
(pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3)
(pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))

Outputs
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))
(fma.f64 -3 (/.f64 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))))
(+.f64 (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (fma.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (sqrt.f64 2)))
(fma.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2)))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (fma.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (sqrt.f64 2))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))))
(*.f64 (sqrt.f64 -6) v)
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (fma.f64 (pow.f64 v 4) 36 (fma.f64 v (.f64 v 12) 4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (fma.f64 v (.f64 v 12) (fma.f64 (pow.f64 v 4) 36 4))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) 6))))
(/.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 v 4) -36 4)) (sqrt.f64 (fma.f64 v (*.f64 v 6) 2)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6)))) (cbrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (*.f64 v -6)) -2)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (/.f64 (cbrt.f64 (+.f64 4 (fma.f64 36 (pow.f64 v 4) (.f64 (.f64 -6 (.f64 v v)) -2)))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (cbrt.f64 (+.f64 4 (fma.f64 (pow.f64 v 4) 36 (.f64 (.f64 v v) 12))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 v (sqrt.f64 -6)) 6) 8)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (cbrt.f64 (fma.f64 (pow.f64 v 4) 36 (fma.f64 v (.f64 v 12) 4)))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (cbrt.f64 (fma.f64 v (.f64 v 12) (fma.f64 (pow.f64 v 4) 36 4)))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))) (cbrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (cbrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (cbrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (cbrt.f64 (fma.f64 v (*.f64 v 6) 2))) (cbrt.f64 (fma.f64 (pow.f64 v 4) -36 4)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 v 4) -36 4)) (cbrt.f64 (fma.f64 v (*.f64 v 6) 2))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 v 4) -36 4)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (cbrt.f64 (fma.f64 v (*.f64 v 6) 2))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6)))) (sqrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (.f64 v -6)) -2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (+.f64 4 (fma.f64 36 (pow.f64 v 4) (.f64 (.f64 -6 (.f64 v v)) -2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (+.f64 4 (fma.f64 (pow.f64 v 4) 36 (.f64 (*.f64 v v) 12)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (fma.f64 (pow.f64 v 4) 36 (fma.f64 v (.f64 v 12) 4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (fma.f64 v (.f64 v 12) (fma.f64 (pow.f64 v 4) 36 4))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) 6))))
(/.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 v 4) -36 4)) (sqrt.f64 (fma.f64 v (*.f64 v 6) 2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6))) 1) (sqrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (.f64 v -6)) -2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (+.f64 4 (fma.f64 36 (pow.f64 v 4) (.f64 (.f64 -6 (.f64 v v)) -2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (+.f64 4 (fma.f64 (pow.f64 v 4) 36 (.f64 (*.f64 v v) 12)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (fma.f64 (pow.f64 v 4) 36 (fma.f64 v (.f64 v 12) 4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (sqrt.f64 (fma.f64 v (.f64 v 12) (fma.f64 (pow.f64 v 4) 36 4))))
(/.f64 (.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) 1) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) 6))))
(/.f64 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 v 4) -36 4)) (sqrt.f64 (fma.f64 v (*.f64 v 6) 2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (.f64 v (sqrt.f64 -6)) 6))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (+.f64 4 (+.f64 (.f64 36 (pow.f64 v 4)) (.f64 (.f64 v (*.f64 v -6)) -2)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (/.f64 (cbrt.f64 (+.f64 4 (fma.f64 36 (pow.f64 v 4) (.f64 (.f64 -6 (.f64 v v)) -2)))) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (cbrt.f64 (+.f64 4 (fma.f64 (pow.f64 v 4) 36 (.f64 (.f64 v v) 12))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 v (sqrt.f64 -6)) 6) 8)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (cbrt.f64 (fma.f64 (pow.f64 v 4) 36 (fma.f64 v (.f64 v 12) 4)))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6) 8)) (cbrt.f64 (fma.f64 v (.f64 v 12) (fma.f64 (pow.f64 v 4) 36 4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36))) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (+.f64 2 (.f64 (*.f64 v v) 6))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (cbrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (cbrt.f64 (+.f64 4 (.f64 (pow.f64 v 4) -36)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (cbrt.f64 (fma.f64 v (*.f64 v 6) 2))) (cbrt.f64 (fma.f64 (pow.f64 v 4) -36 4)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 v 4) -36 4)) (cbrt.f64 (fma.f64 v (*.f64 v 6) 2))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 v 4) -36 4)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))) (cbrt.f64 (fma.f64 v (*.f64 v 6) 2))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1))
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))) 3)) (+.f64 (exp.f64 (.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))) (pow.f64 (exp.f64 2) (log1p.f64 (sqrt.f64 (fma.f64 -6 (.f64 v v) 2)))))))
(pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/2)
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 1)
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4) 2)
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3)
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 v (*.f64 -6 v) 2) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 v (*.f64 -6 v) 2) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))
(sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))

localize9.0ms (0.2%)

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 15 computations (6.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

70 → 89

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 27 computations (38.6% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite107.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

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

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 38 computations (41.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`associate-/r*`
1092×	`*-commutative`
980×	`associate-/l*`
622×	`associate-/r/`
526×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	240	27
2	3187	27

Stop Event

1×	node limit

Counts

1 → 79

Calls

Call 1

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

Outputs

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

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-/r*`
922×	`distribute-lft-in`
906×	`distribute-rgt-in`
664×	`associate-/l/`
518×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	4105
1	786	3913
2	3034	3885

Stop Event

1×	node limit

Counts

91 → 132

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

eval443.0ms (8.3%)

Compiler: Compiled 16865 to 12256 computations (27.3% saved)

prune131.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	699	3	702
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	701	6	707

Error

Counts

707 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
▶	0.3b	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
▶	1.3b	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	0.3b	(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
✓	0.0b	(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
▶	0.3b	(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))

Compiler

Compiled 78 to 65 computations (16.7% saved)

localize23.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))
	0.1b	(.f64 v (.f64 v -6))

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite81.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

31 → 40

Calls

Call 1

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

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

localize72.0ms (1.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))
	0.2b	(.f64 (.f64 v v) -6)

Compiler

Compiled 52 to 34 computations (34.6% saved)

eval166.0ms (3.1%)

Compiler: Compiled 6233 to 5041 computations (19.1% saved)

prune81.0ms (1.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	291	6	297

Error

Counts

297 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
✓	0.3b	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
✓	1.3b	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	0.3b	(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
✓	0.0b	(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
✓	0.3b	(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))

Compiler

Compiled 78 to 65 computations (16.7% saved)

regimes19.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	v
5.0ms	(*.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
0b	1	`v`
0b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0b	1	`(*.f64 v v)`

Compiler

Compiled 191 to 133 computations (30.4% saved)

regimes19.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.0b	1	`v`
0.0b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0.0b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 175 to 123 computations (29.7% saved)

regimes9.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v -6))))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.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
0.3b	1	`v`
0.3b	1	`(*.f64 v v)`

Compiler

Compiled 61 to 46 computations (24.6% saved)

regimes10.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
0.3b	1	`v`
0.3b	1	`(*.f64 v v)`

Compiler

Compiled 47 to 36 computations (23.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-329.1%)

Threshold costs -1.0b (-329.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.3b	1	`v`

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	214
1	59	214
2	66	214
3	70	214
4	72	214

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 76 to 64 computations (15.8% saved)

soundness196.0ms (3.7%)

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 41 to 29 computations (29.3% saved)

end81.0ms (1.5%)

Compiler: Compiled 71 to 52 computations (26.8% saved)

Details

analyze4.0ms (0.1%)

sample1.5s (27.7%)

preprocess63.0ms (1.2%)

simplify71.0ms (1.3%)

eval2.0ms (0%)

prune3.0ms (0%)

localize78.0ms (1.5%)

series8.0ms (0.1%)

rewrite104.0ms (1.9%)

simplify166.0ms (3.1%)

localize25.0ms (0.5%)

series4.0ms (0.1%)

rewrite95.0ms (1.8%)

simplify108.0ms (2%)

localize61.0ms (1.1%)

series2.0ms (0%)

rewrite84.0ms (1.6%)

simplify80.0ms (1.5%)

eval553.0ms (10.3%)

prune200.0ms (3.7%)

localize30.0ms (0.6%)

series1.0ms (0%)

rewrite108.0ms (2%)

simplify86.0ms (1.6%)

localize9.0ms (0.2%)

localize8.0ms (0.2%)

series0.0ms (0%)

rewrite65.0ms (1.2%)

simplify70.0ms (1.3%)

localize17.0ms (0.3%)

series0.0ms (0%)

rewrite107.0ms (2%)

simplify42.0ms (0.8%)

localize24.0ms (0.4%)

series0.0ms (0%)

rewrite73.0ms (1.4%)

simplify78.0ms (1.5%)

eval443.0ms (8.3%)

prune131.0ms (2.4%)

localize23.0ms (0.4%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite81.0ms (1.5%)

simplify52.0ms (1%)

localize72.0ms (1.4%)

eval166.0ms (3.1%)

prune81.0ms (1.5%)

regimes19.0ms (0.4%)

regimes19.0ms (0.3%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

simplify55.0ms (1%)

soundness196.0ms (3.7%)

end81.0ms (1.5%)

Profiling