Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample972.0ms (54%)

Results

959.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 44 to 34 computations (22.7% saved)

preprocess30.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1332×	`fma-def_binary64`
553×	`distribute-rgt-in_binary64`
496×	`unsub-neg_binary64`
223×	`distribute-rgt-neg-out_binary64`
221×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	109	26
3	321	26
4	968	26
5	1747	24
6	3706	24
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 (.f64 3 (PI.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 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify24.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-def_binary64`
553×	`distribute-rgt-in_binary64`
496×	`unsub-neg_binary64`
223×	`distribute-rgt-neg-out_binary64`
221×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	109	26
3	321	26
4	968	26
5	1747	24
6	3706	24

Stop Event

1×	node limit

Counts

1 → 2

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

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

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

Status

Error

Program

1.0b

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

▶

0.0b

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

Compiler

Compiled 113 to 85 computations (24.8% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series29.0ms (1.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	v	@	-inf	(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
6.0ms	v	@	0	(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
6.0ms	v	@	inf	(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
3.0ms	v	@	0	(/.f64 -4/3 (fma.f64 v v -1))
1.0ms	v	@	0	(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))

rewrite62.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`
205×	`log-pow_binary64`
143×	`add-sqr-sqrt_binary64`
134×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	294	42
2	3679	42

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

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

Outputs

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

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

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

simplify45.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

756×	`fma-def_binary64`
721×	`times-frac_binary64`
287×	`cancel-sign-sub-inv_binary64`
177×	`fma-neg_binary64`
174×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	1551
1	655	1503
2	2393	1477

Stop Event

1×	node limit

Counts

128 → 152

Calls

Call 1

Inputs
4/3
(+.f64 4/3 (*.f64 4/3 (pow.f64 v 2)))
(+.f64 (.f64 4/3 (pow.f64 v 4)) (+.f64 4/3 (.f64 4/3 (pow.f64 v 2))))
(+.f64 (.f64 4/3 (pow.f64 v 4)) (+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 2)) (*.f64 4/3 (pow.f64 v 6)))))
(/.f64 -4/3 (pow.f64 v 2))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))))
(/.f64 -4/3 (pow.f64 v 2))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (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 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 v 4) (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 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (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 9/32 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))) (+.f64 (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.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 (pow.f64 v 5) (PI.f64))))))
(-.f64 (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))))
(-.f64 (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (+.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 (pow.f64 v 5) (PI.f64))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(sqrt.f64 2)
(-.f64 (sqrt.f64 2) (*.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))))))
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))))

Outputs
4/3
(+.f64 4/3 (*.f64 4/3 (pow.f64 v 2)))
(+.f64 4/3 (.f64 4/3 (.f64 v v)))
(fma.f64 4/3 (*.f64 v v) 4/3)
(*.f64 (fma.f64 v v 1) 4/3)
(+.f64 (.f64 4/3 (pow.f64 v 4)) (+.f64 4/3 (.f64 4/3 (pow.f64 v 2))))
(fma.f64 4/3 (pow.f64 v 4) (+.f64 4/3 (.f64 4/3 (.f64 v v))))
(fma.f64 4/3 (pow.f64 v 4) (fma.f64 4/3 (*.f64 v v) 4/3))
(fma.f64 4/3 (*.f64 v v) (fma.f64 4/3 (pow.f64 v 4) 4/3))
(+.f64 (.f64 4/3 (pow.f64 v 4)) (+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 2)) (*.f64 4/3 (pow.f64 v 6)))))
(fma.f64 4/3 (pow.f64 v 4) (+.f64 4/3 (.f64 4/3 (+.f64 (.f64 v v) (pow.f64 v 6)))))
(fma.f64 4/3 (pow.f64 v 4) (fma.f64 4/3 (fma.f64 v v (pow.f64 v 6)) 4/3))
(/.f64 -4/3 (pow.f64 v 2))
(/.f64 -4/3 (*.f64 v v))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))) (/.f64 4/3 (pow.f64 v 6))))
(+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6)))
(+.f64 (-.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 4))) (/.f64 -4/3 (*.f64 v v)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))) (/.f64 4/3 (pow.f64 v 6))) (/.f64 4/3 (pow.f64 v 8))))
(-.f64 (/.f64 -4/3 (pow.f64 v 8)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (+.f64 (/.f64 4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6)))))
(+.f64 (+.f64 (-.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 4))) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 8)))
(/.f64 -4/3 (pow.f64 v 2))
(/.f64 -4/3 (*.f64 v v))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))) (/.f64 4/3 (pow.f64 v 6))))
(+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6)))
(+.f64 (-.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 4))) (/.f64 -4/3 (*.f64 v v)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))) (/.f64 4/3 (pow.f64 v 6))) (/.f64 4/3 (pow.f64 v 8))))
(-.f64 (/.f64 -4/3 (pow.f64 v 8)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (+.f64 (/.f64 4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6)))))
(+.f64 (+.f64 (-.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 4))) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 8)))
(*.f64 4/3 (/.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 4/3 (/.f64 (.f64 (pow.f64 v 2) (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 4/3 (/.f64 (.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 4/3 (/.f64 (*.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 v (/.f64 (sqrt.f64 1/2) v)) (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 v 4) (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 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))
(+.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (/.f64 (.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (/.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 -3/8 (/.f64 (pow.f64 v 4) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (/.f64 (.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 v (/.f64 (sqrt.f64 1/2) v)) (PI.f64)))))) (.f64 (/.f64 (pow.f64 v 4) (.f64 (PI.f64) (.f64 1/2 (sqrt.f64 1/2)))) -3/8))
(+.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (/.f64 (.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 4/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4) (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 v (/.f64 (sqrt.f64 1/2) v)) (PI.f64))))) (.f64 -3/4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (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 9/32 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))) (+.f64 (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (/.f64 (PI.f64) (sqrt.f64 1/2))) (+.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 9/32 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 5))) (fma.f64 4/3 (/.f64 (.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 6))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64)))))))))) (fma.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3))))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 v (/.f64 (sqrt.f64 1/2) v)) (PI.f64)))) (fma.f64 9/32 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 5))) (fma.f64 4/3 (/.f64 (.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)) (.f64 13 (/.f64 (/.f64 (pow.f64 v 6) (PI.f64)) (sqrt.f64 1/2)))))))) (fma.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (PI.f64) (.f64 1/2 (sqrt.f64 1/2)))) (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (*.f64 1/2 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 4/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4) (/.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)) (fma.f64 4/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v v) (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))) (fma.f64 13 (/.f64 (/.f64 (pow.f64 v 6) (PI.f64)) (sqrt.f64 1/2)) (.f64 9/32 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 5)))))))) (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (-.f64 (.f64 -3/4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (/.f64 (/.f64 (pow.f64 v 6) (PI.f64)) (sqrt.f64 1/2)) 21/4))))
(.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 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.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 (pow.f64 v 5) (PI.f64))))))
(-.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))))
(+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64)))))
(fma.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (/.f64 1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))
(-.f64 (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))))
(-.f64 (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))))))
(-.f64 (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) -1/6)))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 4/81 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))))) (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))))))
(+.f64 (.f64 (/.f64 1 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) -1/324) (+.f64 (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 4/81 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64)))))))
(-.f64 (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))))
(-.f64 (+.f64 (/.f64 1/69984 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5)))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (/.f64 13/243 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 9))) (+.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 5/5832 (.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)) (pow.f64 v 9)))))))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 9))))))))
(+.f64 (/.f64 1/69984 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 5) (pow.f64 v 9)))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) -1/6)))) (-.f64 (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 4/81 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (+.f64 (/.f64 5/5832 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 -1/6) -1/6) (pow.f64 v 9)))) (/.f64 13/243 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 9))))))) (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 9)) (PI.f64))))))))
(+.f64 (+.f64 (.f64 (/.f64 1 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) -1/324) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 4/81 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (+.f64 (/.f64 5/5832 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 -1/6) -1/6) (pow.f64 v 9)))) (/.f64 13/243 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 9)))))))) (-.f64 (/.f64 1/69984 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 5) (pow.f64 v 9)))) (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 9)) (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 (.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 5) (PI.f64))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5))))) (/.f64 1/27 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))))))
(-.f64 (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) -1/6)))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 4/81 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))))))
(-.f64 (fma.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64)))) (/.f64 -1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) -1/6))))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 4/81 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(-.f64 (-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9))))))) (/.f64 1/69984 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (/.f64 13/243 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 9))) (+.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 5/5832 (.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)) (pow.f64 v 9))))))))
(-.f64 (-.f64 (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 9)) (PI.f64))))) (/.f64 1/69984 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 5) (pow.f64 v 9))))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) -1/6)))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 4/81 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (+.f64 (/.f64 5/5832 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 -1/6) -1/6) (pow.f64 v 9)))) (/.f64 13/243 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 9)))))))))
(-.f64 (fma.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 9)) (PI.f64)))) (/.f64 -1/69984 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 5) (pow.f64 v 9))))) (+.f64 (.f64 (/.f64 1 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) -1/324) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 4/81 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (+.f64 (/.f64 5/5832 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 -1/6) -1/6) (pow.f64 v 9)))) (/.f64 13/243 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 9)))))))))
(sqrt.f64 2)
(-.f64 (sqrt.f64 2) (*.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) -3))
(fma.f64 (/.f64 (*.f64 v v) (sqrt.f64 2)) -3 (sqrt.f64 2))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))))
(+.f64 (fma.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) -3 (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (fma.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (fma.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (.f64 9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))))
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 -1/2 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) -6)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (.f64 1/12 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -6)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 v (sqrt.f64 -6) (/.f64 -1/2 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -6))))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 v (sqrt.f64 -6) (*.f64 1/12 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -6))))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 v (neg.f64 (sqrt.f64 -6)))
(neg.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(neg.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (/.f64 (/.f64 -1 v) (sqrt.f64 -6)) (*.f64 v (sqrt.f64 -6)))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -6)) -1/12) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))))
(-.f64 (-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -6))) (/.f64 -1 (.f64 v (sqrt.f64 -6)))) (fma.f64 v (sqrt.f64 -6) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(+.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -6)) -1/12) (-.f64 (/.f64 (/.f64 -1 v) (sqrt.f64 -6)) (fma.f64 v (sqrt.f64 -6) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))))

prune136.0ms (7.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	152	2	154

Error

Counts

154 → 2

Alt Table

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

Status

Error

Program

▶

1.0b

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

✓

0.0b

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

Compiler

Compiled 4311 to 3312 computations (23.2% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series39.0ms (2.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	v	@	-inf	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
7.0ms	v	@	inf	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
6.0ms	v	@	0	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
4.0ms	v	@	inf	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
4.0ms	v	@	-inf	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))

rewrite67.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

329×	`prod-diff_binary64`
182×	`add-sqr-sqrt_binary64`
172×	`*-un-lft-identity_binary64`
172×	`pow1_binary64`
171×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	375	75
2	4676	75

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify52.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

976×	`times-frac_binary64`
368×	`fma-neg_binary64`
202×	`fma-def_binary64`
172×	`associate-/r*_binary64`
136×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	2142
1	800	2084
2	3163	2063

Stop Event

1×	node limit

Counts

124 → 147

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 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 v 4) (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 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (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 9/32 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))) (+.f64 (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.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 (pow.f64 v 5) (PI.f64))))))
(-.f64 (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))))
(-.f64 (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (+.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 (pow.f64 v 5) (PI.f64))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(*.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 3 (.f64 (PI.f64) (sqrt.f64 2)))
(-.f64 (.f64 3 (.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (.f64 3 (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) (.f64 9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 3 (.f64 (PI.f64) (sqrt.f64 2))) (.f64 9 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 2)))) (+.f64 (.f64 27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) (.f64 9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))))))
(-.f64 (+.f64 (.f64 3 (.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (.f64 27/2 (/.f64 (.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (.f64 9 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 2))))) (+.f64 (.f64 27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) (+.f64 (.f64 9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (.f64 81/2 (/.f64 (*.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5)))))))
(.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(-.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))))
(-.f64 (+.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))) (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))))
(-.f64 (+.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))) (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))))))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))))
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))) (+.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))))
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))))))) (+.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))))
(sqrt.f64 2)
(-.f64 (sqrt.f64 2) (*.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))))))
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))))

Outputs
(*.f64 4/3 (/.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 4/3 (/.f64 (.f64 (pow.f64 v 2) (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 4/3 (/.f64 (.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v v)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 v 4) (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 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))
(+.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (/.f64 (.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (/.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 -3/8 (/.f64 (pow.f64 v 4) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v v)) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 (/.f64 (pow.f64 v 4) (.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 1/2))) -3/8))
(+.f64 (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v v)) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (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 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -3/4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (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 9/32 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))) (+.f64 (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (/.f64 (PI.f64) (sqrt.f64 1/2))) (+.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 9/32 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 5))) (fma.f64 4/3 (/.f64 (.f64 v v) (/.f64 (PI.f64) (sqrt.f64 1/2))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 6))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64)))))))))) (fma.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3))))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 9/32 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 5))) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v v)) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)) (.f64 (/.f64 13 (PI.f64)) (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)))))))) (fma.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 1/2))) (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 1/2))))))
(+.f64 (-.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 9/32 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 5))) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v v)) (fma.f64 4/3 (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)) (.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (/.f64 13 (PI.f64)))))))) (.f64 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))) 21/4)) (.f64 -3/4 (/.f64 (pow.f64 v 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 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))
(-.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.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 (pow.f64 v 5) (PI.f64))))))
(-.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))))
(+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64)))))
(-.f64 (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))))
(-.f64 (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))))))
(+.f64 (/.f64 1/1944 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 -1/6) -1/6) (pow.f64 v 7)))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (-.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))))))))
(+.f64 (.f64 (/.f64 1 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) -1/324) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (-.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))))))))
(-.f64 (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))))
(+.f64 (/.f64 1/69984 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5)))) (-.f64 (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (+.f64 (/.f64 13/243 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 9))) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7)))) (/.f64 5/5832 (.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)) (pow.f64 v 9)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 9)))))))))
(+.f64 (/.f64 (/.f64 1/69984 (.f64 (PI.f64) (pow.f64 v 9))) (pow.f64 (sqrt.f64 -1/6) 5)) (+.f64 (/.f64 1/1944 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 -1/6) -1/6) (pow.f64 v 7)))) (-.f64 (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 13/243 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9)))) (+.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 5/5832 (.f64 (PI.f64) (.f64 (pow.f64 v 9) (.f64 (sqrt.f64 -1/6) -1/6))))))) (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 9)))))))))
(+.f64 (/.f64 (/.f64 1/69984 (.f64 (PI.f64) (pow.f64 v 9))) (pow.f64 (sqrt.f64 -1/6) 5)) (+.f64 (.f64 (/.f64 1 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) -1/324) (-.f64 (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 13/243 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9)))) (+.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (.f64 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9)))) -5/972)))) (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 9)))))))))
(.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 (sqrt.f64 -1/6)) (.f64 (PI.f64) (pow.f64 v 3)))
(-.f64 (+.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 (pow.f64 v 5) (PI.f64))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5))))) (/.f64 1/27 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))))))
(-.f64 (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 1/1944 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 -1/6) -1/6) (pow.f64 v 7)))) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))))))
(-.f64 (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (.f64 (/.f64 1 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) -1/324) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9))))))) (+.f64 (/.f64 1/69984 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5)))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (/.f64 1/27 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (+.f64 (/.f64 13/243 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 9))) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7)))) (/.f64 5/5832 (.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)) (pow.f64 v 9))))))))
(-.f64 (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9)))))) (+.f64 (/.f64 (/.f64 1/69984 (.f64 (PI.f64) (pow.f64 v 9))) (pow.f64 (sqrt.f64 -1/6) 5)) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (+.f64 (/.f64 13/243 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9)))) (+.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 5/5832 (.f64 (PI.f64) (.f64 (pow.f64 v 9) (.f64 (sqrt.f64 -1/6) -1/6)))))) (/.f64 1/1944 (.f64 (PI.f64) (.f64 (*.f64 (sqrt.f64 -1/6) -1/6) (pow.f64 v 7))))))))
(-.f64 (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9)))))) (+.f64 (/.f64 (/.f64 1/69984 (.f64 (PI.f64) (pow.f64 v 9))) (pow.f64 (sqrt.f64 -1/6) 5)) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (+.f64 (/.f64 13/243 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9)))) (+.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (.f64 (/.f64 1 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9)))) -5/972))) (.f64 (/.f64 1 (.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) -1/324)))))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 (.f64 6 v) v)
(.f64 3 (.f64 (PI.f64) (sqrt.f64 2)))
(.f64 (PI.f64) (.f64 (sqrt.f64 2) 3))
(-.f64 (.f64 3 (.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (.f64 3 (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) (.f64 9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2)))))
(-.f64 (.f64 3 (.f64 (PI.f64) (sqrt.f64 2))) (fma.f64 3 (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 2))) (.f64 9 (/.f64 (*.f64 v v) (/.f64 (sqrt.f64 2) (PI.f64))))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 3 (.f64 (.f64 v v) 3))) (/.f64 (.f64 9 (.f64 (PI.f64) (*.f64 v v))) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 3 (.f64 (PI.f64) (sqrt.f64 2))) (.f64 9 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 2)))) (+.f64 (.f64 27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) (.f64 9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))))))
(-.f64 (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 9 (/.f64 (pow.f64 v 4) (/.f64 (sqrt.f64 2) (PI.f64))))) (fma.f64 27/2 (/.f64 (pow.f64 v 4) (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))) (fma.f64 3 (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 2))) (.f64 9 (/.f64 (*.f64 v v) (/.f64 (sqrt.f64 2) (PI.f64)))))))
(-.f64 (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 9 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (PI.f64)))) (+.f64 (fma.f64 (.f64 (.f64 v v) 3) (.f64 (PI.f64) (sqrt.f64 2)) (/.f64 (.f64 9 (.f64 (PI.f64) (.f64 v v))) (sqrt.f64 2))) (.f64 27/4 (*.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (PI.f64)))))
(-.f64 (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 9 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (PI.f64)))) (+.f64 (fma.f64 (.f64 (.f64 v v) 3) (.f64 (PI.f64) (sqrt.f64 2)) (/.f64 (.f64 9 (.f64 (PI.f64) (.f64 v v))) (sqrt.f64 2))) (.f64 (*.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (PI.f64)) 27/4)))
(-.f64 (+.f64 (.f64 3 (.f64 (PI.f64) (sqrt.f64 2))) (+.f64 (.f64 27/2 (/.f64 (.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (.f64 9 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 2))))) (+.f64 (.f64 27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) (+.f64 (.f64 9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (.f64 81/2 (/.f64 (*.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5)))))))
(-.f64 (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 27/2 (/.f64 (.f64 (PI.f64) (pow.f64 v 6)) (pow.f64 (sqrt.f64 2) 3)) (.f64 9 (/.f64 (pow.f64 v 4) (/.f64 (sqrt.f64 2) (PI.f64)))))) (fma.f64 27/2 (/.f64 (pow.f64 v 4) (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))) (fma.f64 3 (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 2))) (fma.f64 9 (/.f64 (.f64 v v) (/.f64 (sqrt.f64 2) (PI.f64))) (.f64 81/2 (/.f64 (pow.f64 v 6) (/.f64 (pow.f64 (sqrt.f64 2) 5) (PI.f64))))))))
(-.f64 (-.f64 (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 9 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (PI.f64)) (.f64 27/4 (/.f64 (.f64 (PI.f64) (pow.f64 v 6)) (sqrt.f64 2))))) (fma.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (.f64 v v))) (fma.f64 9 (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) (PI.f64)) (.f64 81/2 (/.f64 (PI.f64) (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 v 6))))))) (.f64 27/4 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (PI.f64))))
(-.f64 (-.f64 (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 9 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (PI.f64)) (.f64 27/4 (/.f64 (.f64 (PI.f64) (pow.f64 v 6)) (sqrt.f64 2))))) (fma.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (.f64 v v))) (fma.f64 9 (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) (PI.f64)) (.f64 81/2 (/.f64 (PI.f64) (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 v 6))))))) (.f64 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (PI.f64)) 27/4))
(.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 (.f64 (*.f64 (pow.f64 v 3) -3) (PI.f64)) (sqrt.f64 -6))
(-.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))))
(-.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 3 (+.f64 (/.f64 v (/.f64 (sqrt.f64 -6) (PI.f64))) (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))))
(.f64 3 (-.f64 (.f64 (sqrt.f64 -6) (.f64 (PI.f64) v)) (+.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))) (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6)))))
(-.f64 (+.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))) (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))))
(-.f64 (fma.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))) (.f64 3 (+.f64 (/.f64 v (/.f64 (sqrt.f64 -6) (PI.f64))) (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))))
(+.f64 (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (.f64 (sqrt.f64 -6) -6))))) (.f64 3 (-.f64 (.f64 (sqrt.f64 -6) (.f64 (PI.f64) v)) (+.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))) (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6))))))
(+.f64 (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -1/4) v)) (.f64 3 (-.f64 (.f64 (sqrt.f64 -6) (.f64 (PI.f64) v)) (+.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))) (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6))))))
(-.f64 (+.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))) (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))))))))
(-.f64 (fma.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))) (fma.f64 3 (/.f64 v (/.f64 (sqrt.f64 -6) (PI.f64))) (fma.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))))))))
(-.f64 (fma.f64 3 (.f64 (sqrt.f64 -6) (.f64 (PI.f64) v)) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (.f64 (sqrt.f64 -6) -6)))))) (fma.f64 3 (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6)) (fma.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -6))) (fma.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))) (.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))))))))
(fma.f64 3 (.f64 (sqrt.f64 -6) (.f64 (PI.f64) v)) (-.f64 (-.f64 (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -1/4) v)) (fma.f64 3 (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6)) (.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)) -1/4))) (fma.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 3 (.f64 (PI.f64) (*.f64 (sqrt.f64 -6) (pow.f64 v 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))))
(+.f64 (.f64 3 (+.f64 (/.f64 v (/.f64 (sqrt.f64 -6) (PI.f64))) (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))))
(fma.f64 3 (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6)) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (-.f64 (.f64 3 (pow.f64 v 3)) (*.f64 v 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))) (+.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))))
(-.f64 (.f64 3 (+.f64 (/.f64 v (/.f64 (sqrt.f64 -6) (PI.f64))) (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))))
(-.f64 (fma.f64 3 (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6)) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (-.f64 (.f64 3 (pow.f64 v 3)) (.f64 v 3)))) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (*.f64 (sqrt.f64 -6) -6))))))
(-.f64 (fma.f64 3 (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6)) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (-.f64 (.f64 3 (pow.f64 v 3)) (.f64 v 3)))) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -1/4) v)))
(-.f64 (+.f64 (.f64 3 (/.f64 (.f64 v (PI.f64)) (sqrt.f64 -6))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))))))) (+.f64 (.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))))
(-.f64 (fma.f64 3 (/.f64 v (/.f64 (sqrt.f64 -6) (PI.f64))) (fma.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))))))) (fma.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))))))
(-.f64 (fma.f64 3 (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6)) (fma.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -6))) (fma.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))))))) (fma.f64 3 (.f64 (sqrt.f64 -6) (.f64 (PI.f64) v)) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 v (*.f64 (sqrt.f64 -6) -6)))))))
(+.f64 (fma.f64 3 (/.f64 (.f64 (PI.f64) v) (sqrt.f64 -6)) (.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)) -1/4)) (-.f64 (fma.f64 3 (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))))) (fma.f64 3 (.f64 (sqrt.f64 -6) (.f64 (PI.f64) v)) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -1/4) v)))))
(sqrt.f64 2)
(-.f64 (sqrt.f64 2) (*.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(-.f64 (sqrt.f64 2) (/.f64 (.f64 3 (.f64 v v)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (fma.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (/.f64 (.f64 27/2 (pow.f64 v 6)) (pow.f64 (sqrt.f64 2) 5)))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (fma.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (.f64 9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))))
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (-.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 -1/2 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) -6)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/2 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (/.f64 -1/2 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) -6)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 v (neg.f64 (sqrt.f64 -6)))
(neg.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(neg.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -6)) -1/12) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))))
(-.f64 (-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))) (/.f64 (/.f64 1/2 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)))
(-.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -6)) -1/12) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6))))) (/.f64 (/.f64 1/2 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)))

prune108.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	147	2	149

Error

Counts

149 → 2

Alt Table

Status

Error

Program

✓

1.0b

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

✓

0.0b

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

Compiler

Compiled 4809 to 3710 computations (22.9% saved)

regimes149.0ms (8.3%)

Accuracy

Total 0.0b remaining (69.3%)

Threshold costs 0.0b (69.3%)

Counts

37 → 1

Compiler

Compiled 2981 to 2390 computations (19.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27

Stop Event

1×

saturated

Calls

Call 1

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

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

end57.0ms (3.2%)

Stop Event

1×

done

Compiler

Compiled 76 to 59 computations (22.4% saved)

Details

analyze5.0ms (0.3%)

sample972.0ms (54%)

preprocess30.0ms (1.7%)

simplify24.0ms (1.3%)

prune4.0ms (0.2%)

localize9.0ms (0.5%)

series29.0ms (1.6%)

rewrite62.0ms (3.4%)

simplify45.0ms (2.5%)

prune136.0ms (7.6%)

localize11.0ms (0.6%)

series39.0ms (2.2%)

rewrite67.0ms (3.7%)

simplify52.0ms (2.9%)

prune108.0ms (6%)

regimes149.0ms (8.3%)

simplify2.0ms (0.1%)

end57.0ms (3.2%)

Profiling