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)

sample1.0s (54.4%)

Results

1.0s	8256×	body	128	valid
0.0ms	2×	body	128	invalid

preprocess38.0ms (2%)

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

0.0b

Counts

3 → 2

Alt Table

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

Status

Error

Program

▶

0.0b

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

1.0b

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

Compiler

Compiled 113 to 85 computations (24.8% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

series12.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

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

rewrite67.0ms (3.5%)

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	54
1	294	54
2	3679	54

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify52.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-def_binary64`
420×	`times-frac_binary64`
346×	`associate-/l*_binary64`
180×	`distribute-rgt-in_binary64`
165×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	1743
1	621	1669
2	2120	1602

Stop Event

1×	node limit

Counts

160 → 179

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 (sqrt.f64 2) (PI.f64))
(+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (.f64 -27/2 (/.f64 (.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(.f64 (sqrt.f64 -6) (.f64 v (PI.f64)))
(+.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(+.f64 (.f64 (sqrt.f64 -6) (.f64 v (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))))
(.f64 -1 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))))
4/3
(+.f64 4/3 (*.f64 4/3 (pow.f64 v 2)))
(+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 4)) (.f64 4/3 (pow.f64 v 2))))
(+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 4)) (+.f64 (.f64 4/3 (pow.f64 v 6)) (*.f64 4/3 (pow.f64 v 2)))))
(/.f64 -4/3 (pow.f64 v 2))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (.f64 4/3 (/.f64 1 (pow.f64 v 4)))))))
(/.f64 -4/3 (pow.f64 v 2))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (.f64 4/3 (/.f64 1 (pow.f64 v 4)))))))
2
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -4/3 (.f64 v v))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -4/3 (.f64 v (*.f64 v (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (.f64 v (.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 -4/3 (pow.f64 v 4)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -4/3 (fma.f64 v (.f64 v (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 -1/2 (PI.f64)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(fma.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -1/2 (+.f64 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(fma.f64 (.f64 -4/3 (pow.f64 v 6)) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (+.f64 27/2 (.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (.f64 v (.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 -4/3 (pow.f64 v 4))))))
(fma.f64 -4/3 (.f64 (pow.f64 v 6) (+.f64 (.f64 (/.f64 -1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 135/16 (PI.f64)))) (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -4/3 (fma.f64 v (.f64 v (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 -1/2 (PI.f64)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(.f64 -4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(.f64 -4/3 (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.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 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (.f64 -4/3 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (.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 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 -4/3 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6)))))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (.f64 -4/3 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 -4/3 (/.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))))))
(.f64 -4/3 (+.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (+.f64 (+.f64 (.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (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 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)))
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(.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
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4/3
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(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 8)) (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (pow.f64 v 6)))))
(/.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 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 4)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))
(-.f64 (/.f64 -4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))
(+.f64 (/.f64 -4/3 (*.f64 v v)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (pow.f64 v 6))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (.f64 4/3 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 8)) (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (pow.f64 v 6)))))
2
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(fma.f64 -6 (*.f64 v v) 2)
(fma.f64 (*.f64 v v) -6 2)
(fma.f64 v (*.f64 v -6) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(fma.f64 -6 (*.f64 v v) 2)
(fma.f64 (*.f64 v v) -6 2)
(fma.f64 v (*.f64 v -6) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(fma.f64 -6 (*.f64 v v) 2)
(fma.f64 (*.f64 v v) -6 2)
(fma.f64 v (*.f64 v -6) 2)
(*.f64 -6 (pow.f64 v 2))
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(fma.f64 -6 (*.f64 v v) 2)
(fma.f64 (*.f64 v v) -6 2)
(fma.f64 v (*.f64 v -6) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(fma.f64 -6 (*.f64 v v) 2)
(fma.f64 (*.f64 v v) -6 2)
(fma.f64 v (*.f64 v -6) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(fma.f64 -6 (*.f64 v v) 2)
(fma.f64 (*.f64 v v) -6 2)
(fma.f64 v (*.f64 v -6) 2)
(*.f64 -6 (pow.f64 v 2))
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(fma.f64 -6 (*.f64 v v) 2)
(fma.f64 (*.f64 v v) -6 2)
(fma.f64 v (*.f64 v -6) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(fma.f64 -6 (*.f64 v v) 2)
(fma.f64 (*.f64 v v) -6 2)
(fma.f64 v (*.f64 v -6) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(fma.f64 -6 (*.f64 v v) 2)
(fma.f64 (*.f64 v v) -6 2)
(fma.f64 v (*.f64 v -6) 2)

prune232.0ms (12.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	179	2	181

Error

Counts

181 → 2

Alt Table

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

Compiler

Compiled 4869 to 3734 computations (23.3% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.4%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
1.0ms	v	@	inf	(/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
1.0ms	v	@	-inf	(/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
1.0ms	v	@	inf	(.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
0.0ms	v	@	0	(.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (/.f64 1 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))

rewrite70.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
162×	`add-sqr-sqrt_binary64`
152×	`*-un-lft-identity_binary64`
152×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	337	55
2	4207	55

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify53.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-def_binary64`
276×	`times-frac_binary64`
237×	`distribute-rgt-in_binary64`
229×	`cancel-sign-sub-inv_binary64`
226×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2016
1	671	1931
2	2313	1884

Stop Event

1×	node limit

Counts

168 → 191

Calls

Call 1

Inputs
(*.f64 -1 (sqrt.f64 1/2))
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (.f64 -1 (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (.f64 -1 (sqrt.f64 1/2))))
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))) (pow.f64 v 6)) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (.f64 -1 (sqrt.f64 1/2)))))
(/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (/.f64 1/36 (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 7) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 9) (sqrt.f64 -1/6)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 9) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 9)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))))))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 9) (sqrt.f64 -1/6)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))))))
(*.f64 -1 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (.f64 -1 (/.f64 (-.f64 (sqrt.f64 -1/6) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 5))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (sqrt.f64 -1/6) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 5))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 7)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (sqrt.f64 -1/6))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (sqrt.f64 -1/6))) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 9))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (sqrt.f64 -1/6) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 5))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 7))))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))))
-1
(-.f64 (*.f64 -1 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 v 2)) (.f64 -1 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 v 2)) (+.f64 (.f64 -1 (pow.f64 v 6)) (*.f64 -1 (pow.f64 v 4)))) 1)
(/.f64 1 (pow.f64 v 2))
(+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2)))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 2))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 8)))))
(/.f64 1 (pow.f64 v 2))
(+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2)))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 2))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 8)))))

Outputs
(*.f64 -1 (sqrt.f64 1/2))
(neg.f64 (sqrt.f64 1/2))
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (.f64 -1 (sqrt.f64 1/2)))
(fma.f64 (*.f64 v v) (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 3/4 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 -1 (sqrt.f64 1/2) (/.f64 -3/4 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2)))
(fma.f64 (*.f64 v v) (-.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (.f64 -1 (sqrt.f64 1/2))))
(fma.f64 (*.f64 v v) (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 3/4 (sqrt.f64 1/2))) (fma.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (/.f64 3/4 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2))))
(fma.f64 (.f64 v v) (fma.f64 -1 (sqrt.f64 1/2) (/.f64 -3/4 (sqrt.f64 1/2))) (-.f64 (.f64 (pow.f64 v 4) (fma.f64 -1 (sqrt.f64 1/2) (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -3/4 (sqrt.f64 1/2))))) (sqrt.f64 1/2)))
(-.f64 (fma.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (.f64 (.f64 v v) (-.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))) (pow.f64 v 6)) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))) (.f64 -1 (sqrt.f64 1/2)))))
(fma.f64 (.f64 v v) (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 3/4 (sqrt.f64 1/2))) (fma.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 27/2 (.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)) (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2)))) (/.f64 3/4 (sqrt.f64 1/2))) (pow.f64 v 6) (fma.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (/.f64 3/4 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2)))))
(fma.f64 (.f64 v v) (fma.f64 -1 (sqrt.f64 1/2) (/.f64 -3/4 (sqrt.f64 1/2))) (-.f64 (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 27/2 (.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (sqrt.f64 1/2)) (fma.f64 -1 (sqrt.f64 1/2) (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -3/4 (sqrt.f64 1/2))))) (pow.f64 v 6) (*.f64 (pow.f64 v 4) (fma.f64 -1 (sqrt.f64 1/2) (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -3/4 (sqrt.f64 1/2)))))) (sqrt.f64 1/2)))
(fma.f64 (fma.f64 -1/2 (+.f64 (/.f64 (fma.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4 27/2) (sqrt.f64 1/2)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (-.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2))) (pow.f64 v 6) (-.f64 (fma.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (.f64 (.f64 v v) (-.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (/.f64 1/36 (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (-.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (/.f64 1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 -1/36 (sqrt.f64 -1/6))) (pow.f64 v 5)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 7) (sqrt.f64 -1/6))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))) (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (+.f64 (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (pow.f64 v 5))) (/.f64 1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))))
(-.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 -1/36 (sqrt.f64 -1/6))) (pow.f64 v 5))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))
(+.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 -1/36 (sqrt.f64 -1/6))) (pow.f64 v 5))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 9) (sqrt.f64 -1/6)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 9) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 9)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))))))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 9) (sqrt.f64 -1/6)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))))))
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(.f64 -4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6))) (pow.f64 v 5))))
(.f64 -4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))) (/.f64 (fma.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6)))) (pow.f64 v 7))) (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6))) (pow.f64 v 5))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 -4/3 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 -4/3 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 -4/3 (/.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 9)) (.f64 -4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/36 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6))) (pow.f64 v 5)))))
(.f64 -4/3 (+.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))) (/.f64 (fma.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6)))) (pow.f64 v 7))) (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6))) (pow.f64 v 5))) (/.f64 (+.f64 (+.f64 (.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 1/36 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/1944) -1/6) 1/162) (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 9))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))) (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6))) (pow.f64 v 5))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(.f64 4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7)) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))) (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6))) (pow.f64 v 5)))))
(.f64 4/3 (+.f64 (/.f64 (fma.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))) (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6))) (pow.f64 v 5)))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 4/3 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 4/3 (/.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 9)) (.f64 4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7)) (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))) (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6))) (pow.f64 v 5))))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))) (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 1/36 (PI.f64)) (sqrt.f64 -1/6))) (pow.f64 v 5)))) (/.f64 (+.f64 (+.f64 (.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 1/36 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/1944) -1/6) 1/162) (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 9))))
-1
(-.f64 (*.f64 -1 (pow.f64 v 2)) 1)
(fma.f64 -1 (*.f64 v v) -1)
(-.f64 -1 (*.f64 v v))
(-.f64 (+.f64 (.f64 -1 (pow.f64 v 2)) (.f64 -1 (pow.f64 v 4))) 1)
(+.f64 (fma.f64 -1 (*.f64 v v) (neg.f64 (pow.f64 v 4))) -1)
(fma.f64 -1 (fma.f64 v v (pow.f64 v 4)) -1)
(-.f64 -1 (fma.f64 v v (pow.f64 v 4)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 v 2)) (+.f64 (.f64 -1 (pow.f64 v 6)) (*.f64 -1 (pow.f64 v 4)))) 1)
(+.f64 (fma.f64 -1 (.f64 v v) (.f64 -1 (+.f64 (pow.f64 v 6) (pow.f64 v 4)))) -1)
(+.f64 -1 (+.f64 (neg.f64 (fma.f64 v v (pow.f64 v 4))) (neg.f64 (pow.f64 v 6))))
(fma.f64 -1 (fma.f64 v v (+.f64 (pow.f64 v 4) (pow.f64 v 6))) -1)
(/.f64 1 (pow.f64 v 2))
(/.f64 1 (*.f64 v v))
(+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2)))
(+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 4)))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 2))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 6))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 8)))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 8)))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (*.f64 v v)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 8)))))
(/.f64 1 (pow.f64 v 2))
(/.f64 1 (*.f64 v v))
(+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2)))
(+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 4)))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 2))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 6))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 8)))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 8)))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (*.f64 v v)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 8)))))

prune214.0ms (11.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	191	2	193

Error

Counts

193 → 2

Alt Table

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

Compiler

Compiled 5549 to 4460 computations (19.6% saved)

regimes32.0ms (1.7%)

Accuracy

Total -1.8b remaining (-45175.9%)

Threshold costs -1.8b (-45175.9%)

Counts

14 → 1

Calls

Call 1

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

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

Results

8.0ms	0.0b	`v`
3.0ms	0.0b	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
3.0ms	0.0b	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
3.0ms	0.0b	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
4.0ms	0.0b	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
3.0ms	0.0b	`(*.f64 v v)`
3.0ms	0.0b	`(*.f64 v v)`

Compiler

Compiled 312 to 228 computations (26.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	20	27

Stop Event

1×

saturated

Calls

Call 1

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

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

end21.0ms (1.1%)

Stop Event

1×

done

Compiler

Compiled 38 to 30 computations (21.1% saved)

Details

analyze5.0ms (0.3%)

sample1.0s (54.4%)

preprocess38.0ms (2%)

simplify24.0ms (1.3%)

prune4.0ms (0.2%)

localize14.0ms (0.8%)

series12.0ms (0.6%)

rewrite67.0ms (3.5%)

simplify52.0ms (2.7%)

prune232.0ms (12.3%)

localize11.0ms (0.6%)

series7.0ms (0.4%)

rewrite70.0ms (3.7%)

simplify53.0ms (2.8%)

prune214.0ms (11.4%)

regimes32.0ms (1.7%)

simplify2.0ms (0.1%)

end21.0ms (1.1%)

Profiling