Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.2s (56.1%)

Results

1.2s	8256×	body	256	valid
1.0ms	13×	body	256	invalid

Bogosity

preprocess66.0ms (3%)

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)

simplify75.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

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

eval2.0ms (0.1%)

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

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

8 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize23.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
✓	0.29%	(.f64 (.f64 v v) -6)
✓	1.56%	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))

Compiler

Compiled 69 to 39 computations (43.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite91.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

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

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

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

simplify95.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

173 → 225

Calls

Call 1

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

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

eval93.0ms (4.2%)

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

prune29.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

226 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	0.45%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))

Compiler

Compiled 32 to 25 computations (21.9% saved)

localize16.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.29%	(.f64 (.f64 v v) -6)
✓	1.56%	(/.f64 4/3 (PI.f64))

Compiler

Compiled 44 to 27 computations (38.6% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite84.0ms (3.8%)

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))))))))

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))))))))

simplify40.0ms (1.8%)

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))

eval11.0ms (0.5%)

Compiler: Compiled 590 to 446 computations (24.4% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Error

Counts

42 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

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

✓

0.45%

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

▶

0.45%

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

Compiler

Compiled 47 to 38 computations (19.1% saved)

localize68.0ms (3.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.29%	(.f64 (.f64 v v) -6)

Compiler

Compiled 52 to 34 computations (34.6% saved)

eval5.0ms (0.2%)

Compiler: Compiled 277 to 227 computations (18.1% saved)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	17	3	20

Error

Counts

20 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

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

✓

0.45%

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

✓

0.45%

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

Compiler

Compiled 47 to 38 computations (19.1% saved)

regimes12.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 111 to 78 computations (29.7% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.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:

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

Results

Error	Segments	Branch
0.45%	1	`v`
0.45%	1	`(*.f64 v v)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	135
1	34	135
2	42	135
3	46	135
4	48	135

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 47 to 38 computations (19.1% saved)

soundness199.0ms (9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 155 to 101 computations (34.8% saved)

end27.0ms (1.2%)

Compiler: Compiled 45 to 32 computations (28.9% saved)

Details

analyze4.0ms (0.2%)

sample1.2s (56.1%)

preprocess66.0ms (3%)

simplify75.0ms (3.4%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

localize23.0ms (1%)

series3.0ms (0.1%)

rewrite91.0ms (4.1%)

simplify95.0ms (4.3%)

eval93.0ms (4.2%)

prune29.0ms (1.3%)

localize16.0ms (0.7%)

series0.0ms (0%)

rewrite84.0ms (3.8%)

simplify40.0ms (1.8%)

eval11.0ms (0.5%)

prune5.0ms (0.2%)

localize68.0ms (3.1%)

eval5.0ms (0.2%)

prune3.0ms (0.2%)

regimes12.0ms (0.6%)

regimes6.0ms (0.3%)

simplify7.0ms (0.3%)

soundness199.0ms (9%)

end27.0ms (1.2%)

Profiling