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)

sample1.2s (30.3%)

Results

1.2s	8256×	body	256	valid
1.0ms	9×	body	256	invalid

Bogosity

preprocess62.0ms (1.6%)

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)

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

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

eval2.0ms (0.1%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	2	8

Error

Counts

8 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.0b

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

▶

1.0b

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

Compiler

Compiled 40 to 30 computations (25% saved)

localize32.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 55 computations (39.6% saved)

series8.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite118.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`associate-/r*`
520×	`associate-/l*`
418×	`add-sqr-sqrt`
402×	`associate-/r/`
400×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	170
1	426	152
2	5314	152

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

Inputs
(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))))))
(.f64 -6 (.f64 v v))
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))))
(.f64 (.f64 3 (PI.f64)) (.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 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (PI.f64)) (/.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 -1/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 (/.f64 4 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))) (/.f64 4 (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 2)) (/.f64 4 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 4 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (/.f64 1 (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/3 (.f64 (PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (-.f64 1 (pow.f64 v 6))) (+.f64 (.f64 v v) (+.f64 1 (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (-.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 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (-.f64 1 (pow.f64 v 6)))) (+.f64 (.f64 v v) (+.f64 1 (pow.f64 v 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (+.f64 1 (pow.f64 (neg.f64 (.f64 v v)) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (.f64 v v)) (neg.f64 (.f64 v v))) (neg.f64 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (neg.f64 (-.f64 1 (pow.f64 v 4)))) (neg.f64 (+.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (neg.f64 (-.f64 1 (pow.f64 v 6)))) (neg.f64 (+.f64 (.f64 v v) (+.f64 1 (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 2)))) (#(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 (.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 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (neg.f64 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (.f64 (neg.f64 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (neg.f64 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (-.f64 1 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (neg.f64 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 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simplify128.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1436×	`associate-+r+`
1320×	`associate-+l+`
1046×	`+-commutative`
612×	`fma-def`
572×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	514	10109
1	1536	9711
2	5923	9711

Stop Event

1×	node limit

Counts

159 → 254

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

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

localize66.0ms (1.7%)

Local error

Found 3 expressions with local error:

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

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite98.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

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

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simplify131.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

157 → 245

Calls

Call 1

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

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

eval320.0ms (8.2%)

Compiler: Compiled 15545 to 11725 computations (24.6% saved)

prune77.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	496	3	499
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	496	5	501

Error

Counts

501 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 69 to 57 computations (17.4% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 23 computations (8% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite68.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`*-commutative`
816×	`associate-/r*`
718×	`associate-*r/`
630×	`unswap-sqr`
570×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	247	37
2	2829	37

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (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 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 -1 (*.f64 (PI.f64) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 2)) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 18))) (/.f64 4 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (PI.f64) (sqrt.f64 18))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))) (*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))))) (#(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 (/.f64 4 (PI.f64)) (sqrt.f64 18))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1/2) (pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 (sqrt.f64 18))))))) (#(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 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (PI.f64) (neg.f64 (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 18))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (sqrt.f64 2) 54)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) 54) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 18)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 2) 54))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 18)))))))

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-*r/`
954×	`associate-+r-`
806×	`associate-*l/`
780×	`unswap-sqr`
778×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	146	1274
1	328	1180
2	1263	1180
3	7443	1180

Stop Event

1×	node limit

Counts

62 → 76

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) 1)
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)))
(*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 1)
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)) 4)
(.f64 -4 (/.f64 -1 (.f64 (PI.f64) (sqrt.f64 18))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 2)))
(*.f64 (/.f64 1/3 (sqrt.f64 2)) (/.f64 4 (PI.f64)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 18)))) (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 18))) (/.f64 4 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (sqrt.f64 2)))
(.f64 (/.f64 -1 (.f64 (PI.f64) (sqrt.f64 18))) -4)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))) (*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3) 1/6))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1/2) (pow.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1/2))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3) 1/3)
(pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1)
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 (sqrt.f64 18))))
(sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 1)
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3) 1/3)
(neg.f64 (*.f64 (PI.f64) (neg.f64 (sqrt.f64 18))))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 18))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (sqrt.f64 2) 54)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 18))) 1)
(pow.f64 (sqrt.f64 18) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 18)) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 18)) 3)
(pow.f64 (*.f64 (sqrt.f64 2) 54) 1/3)
(sqrt.f64 18)
(log.f64 (exp.f64 (sqrt.f64 18)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 18))))
(cbrt.f64 (*.f64 (sqrt.f64 2) 54))
(expm1.f64 (log1p.f64 (sqrt.f64 18)))
(exp.f64 (log.f64 (sqrt.f64 18)))
(log1p.f64 (expm1.f64 (sqrt.f64 18)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) 1)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 1)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2)))
(/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)) 4)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 -4 (/.f64 -1 (.f64 (PI.f64) (sqrt.f64 18))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2)))
(/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2)))
(*.f64 (/.f64 1/3 (sqrt.f64 2)) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2)))
(/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 18)))) (/.f64 4 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 18))) (/.f64 4 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(/.f64 (.f64 1 (/.f64 4 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 18))))) (cbrt.f64 (*.f64 18 (pow.f64 (PI.f64) 2))))
(/.f64 (/.f64 4 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (.f64 18 (pow.f64 (PI.f64) 2))))
(/.f64 4 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 18)) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (sqrt.f64 2)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2)))
(/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2)))
(.f64 (/.f64 -1 (.f64 (PI.f64) (sqrt.f64 18))) -4)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))) (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))) (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))) (*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))) (sqrt.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) (cbrt.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 3/2))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3) 1/6))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1/2) (pow.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1/2))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 1)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 2)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))) 3)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3) 1/3)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 (sqrt.f64 18))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18)) 3))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 18))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 1)
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1)
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 2)
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 3)
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3) 1/3)
(*.f64 (PI.f64) (sqrt.f64 18))
(neg.f64 (*.f64 (PI.f64) (neg.f64 (sqrt.f64 18))))
(*.f64 (PI.f64) (sqrt.f64 18))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 18))
(sqrt.f64 (*.f64 18 (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))
(*.f64 (PI.f64) (sqrt.f64 18))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(*.f64 (PI.f64) (sqrt.f64 18))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3))
(*.f64 (PI.f64) (sqrt.f64 18))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (sqrt.f64 2) 54)))
(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 54 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (PI.f64) 3) 54)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(*.f64 (PI.f64) (sqrt.f64 18))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(*.f64 (PI.f64) (sqrt.f64 18))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 18))) 1)
(sqrt.f64 18)
(pow.f64 (sqrt.f64 18) 1)
(sqrt.f64 18)
(pow.f64 (sqrt.f64 (sqrt.f64 18)) 2)
(sqrt.f64 18)
(pow.f64 (cbrt.f64 (sqrt.f64 18)) 3)
(sqrt.f64 18)
(pow.f64 (*.f64 (sqrt.f64 2) 54) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) 54))
(sqrt.f64 18)
(log.f64 (exp.f64 (sqrt.f64 18)))
(sqrt.f64 18)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 18))))
(sqrt.f64 18)
(cbrt.f64 (*.f64 (sqrt.f64 2) 54))
(expm1.f64 (log1p.f64 (sqrt.f64 18)))
(sqrt.f64 18)
(exp.f64 (log.f64 (sqrt.f64 18)))
(sqrt.f64 18)
(log1p.f64 (expm1.f64 (sqrt.f64 18)))
(sqrt.f64 18)

localize9.0ms (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

rewrite64.0ms (1.6%)

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))))))))

simplify63.0ms (1.6%)

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))

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (PI.f64)) (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)

series4.0ms (0.1%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

1.0ms

inf

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

0.0ms

-inf

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

rewrite78.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

86 → 145

Calls

Call 1

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

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

eval123.0ms (3.1%)

Compiler: Compiled 5270 to 4227 computations (19.8% saved)

prune49.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	326	3	329
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	328	6	334

Error

Counts

334 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	0.6b	(/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))
✓	0.6b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	0.6b	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
▶	1.6b	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	1.0b	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))))))

Compiler

Compiled 80 to 66 computations (17.5% 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

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify47.0ms (1.2%)

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))

localize19.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite75.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

70 → 135

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 15 computations (6.3% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite68.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`associate-*r/`
1052×	`associate-/r*`
884×	`*-commutative`
736×	`associate-*l/`
700×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	212	18
2	2621	18

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

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

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1088×	`associate-*r/`
1072×	`associate-/r*`
830×	`*-commutative`
782×	`unswap-sqr`
680×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	2113
1	509	1923
2	2094	1919

Stop Event

1×	node limit

Counts

101 → 129

Calls

Call 1

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

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

eval230.0ms (5.9%)

Compiler: Compiled 5032 to 4062 computations (19.3% saved)

prune39.0ms (1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	323	6	329

Error

Counts

329 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.6b	(/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))
✓	0.6b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	0.6b	(/.f64 (.f64 (/.f64 1 (PI.f64)) 4/3) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
✓	1.6b	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	1.0b	(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))))))

Compiler

Compiled 80 to 66 computations (17.5% saved)

regimes16.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	v
3.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
3.0ms	(*.f64 v v)
2.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Results

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

Compiler

Compiled 155 to 111 computations (28.4% saved)

regimes9.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	v
2.0ms	(*.f64 v v)

Results

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

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes8.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 43 to 34 computations (20.9% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.6b	1	`v`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes38.0ms (1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
1.6b	1	`v`

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0.2%)

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	29	167
1	40	167
2	48	167
3	52	167
4	54	167

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 59 to 50 computations (15.3% saved)

soundness189.0ms (4.8%)

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)

end35.0ms (0.9%)

Compiler: Compiled 55 to 40 computations (27.3% saved)

Details

analyze4.0ms (0.1%)

sample1.2s (30.3%)

preprocess62.0ms (1.6%)

simplify69.0ms (1.8%)

eval2.0ms (0.1%)

prune2.0ms (0%)

localize32.0ms (0.8%)

series8.0ms (0.2%)

rewrite118.0ms (3%)

simplify128.0ms (3.3%)

localize66.0ms (1.7%)

series2.0ms (0.1%)

rewrite98.0ms (2.5%)

simplify131.0ms (3.4%)

eval320.0ms (8.2%)

prune77.0ms (2%)

localize11.0ms (0.3%)

series0.0ms (0%)

rewrite68.0ms (1.7%)

simplify65.0ms (1.7%)

localize9.0ms (0.2%)

series0.0ms (0%)

rewrite64.0ms (1.6%)

simplify63.0ms (1.6%)

localize20.0ms (0.5%)

series4.0ms (0.1%)

rewrite78.0ms (2%)

simplify70.0ms (1.8%)

eval123.0ms (3.1%)

prune49.0ms (1.3%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite55.0ms (1.4%)

simplify47.0ms (1.2%)

localize19.0ms (0.5%)

series1.0ms (0%)

rewrite75.0ms (1.9%)

simplify70.0ms (1.8%)

localize8.0ms (0.2%)

series0.0ms (0%)

rewrite68.0ms (1.7%)

simplify56.0ms (1.4%)

eval230.0ms (5.9%)

prune39.0ms (1%)

regimes16.0ms (0.4%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes38.0ms (1%)

simplify7.0ms (0.2%)

soundness189.0ms (4.8%)

end35.0ms (0.9%)

Profiling