Details

analyze6.0ms (0.2%)

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)

sample1.1s (39.8%)

Results

1.1s	8256×	body	128	valid
0.0ms	4×	body	128	invalid

preprocess33.0ms (1.2%)

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)

simplify27.0ms (1%)

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))))

eval1.0ms (0%)

Compiler: Compiled 37 to 27 computations (27% saved)

prune3.0ms (0.1%)

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

Click to see full 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 76 to 58 computations (23.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series16.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(.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 (/.f64 -4/3 (fma.f64 v v -1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))

rewrite63.0ms (2.3%)

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	56
1	294	56
2	3679	56

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

459×	`times-frac_binary64`
387×	`associate-/l*_binary64`
224×	`fma-def_binary64`
182×	`distribute-rgt-in_binary64`
165×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	1977
1	717	1881
2	2404	1830

Stop Event

1×	node limit

Counts

155 → 191

Calls

Call 1

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

Outputs
(*.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)))
(fma.f64 -3 (/.f64 (.f64 v v) (/.f64 (sqrt.f64 2) (PI.f64))) (.f64 (sqrt.f64 2) (PI.f64)))
(fma.f64 (sqrt.f64 2) (PI.f64) (.f64 -3 (/.f64 (PI.f64) (/.f64 (sqrt.f64 2) (.f64 v v)))))
(fma.f64 (sqrt.f64 2) (PI.f64) (.f64 -3 (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 v v))))
(+.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))))
(fma.f64 -9/2 (/.f64 (pow.f64 v 4) (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))) (fma.f64 -3 (/.f64 (.f64 v v) (/.f64 (sqrt.f64 2) (PI.f64))) (.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (fma.f64 (sqrt.f64 2) (PI.f64) (.f64 -3 (/.f64 (PI.f64) (/.f64 (sqrt.f64 2) (.f64 v v))))) (.f64 -9/4 (/.f64 (.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))))
(+.f64 (fma.f64 (sqrt.f64 2) (PI.f64) (.f64 -3 (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 v v)))) (.f64 -9/4 (/.f64 (pow.f64 v 4) (/.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)))))
(fma.f64 -9/2 (/.f64 (pow.f64 v 4) (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))) (fma.f64 -3 (/.f64 (.f64 v v) (/.f64 (sqrt.f64 2) (PI.f64))) (fma.f64 -27/2 (/.f64 (pow.f64 v 6) (/.f64 (pow.f64 (sqrt.f64 2) 5) (PI.f64))) (.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (.f64 -9/4 (/.f64 (.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))) (fma.f64 -3 (/.f64 (PI.f64) (/.f64 (sqrt.f64 2) (.f64 v v))) (fma.f64 (sqrt.f64 2) (PI.f64) (.f64 -27/2 (/.f64 (PI.f64) (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 v 6)))))))
(+.f64 (.f64 -9/4 (/.f64 (pow.f64 v 4) (/.f64 (sqrt.f64 2) (PI.f64)))) (fma.f64 -3 (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 v v)) (fma.f64 (sqrt.f64 2) (PI.f64) (.f64 -27/2 (/.f64 (PI.f64) (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 v 6)))))))
(.f64 (sqrt.f64 -6) (.f64 v (PI.f64)))
(.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))
(+.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))))
(+.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.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) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(fma.f64 (sqrt.f64 -6) (.f64 (PI.f64) v) (fma.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)))))
(fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (*.f64 -6 (pow.f64 v 3)))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(+.f64 (.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) 1/12) (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.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))))))
(fma.f64 (sqrt.f64 -6) (.f64 (PI.f64) v) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (fma.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))))))
(fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (.f64 -6 (pow.f64 v 3)))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))))
(+.f64 (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) 1/12)) (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(.f64 -1 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(neg.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 v (neg.f64 (.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 (PI.f64) (.f64 (sqrt.f64 -6) (neg.f64 v)))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(.f64 -1 (+.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))))
(neg.f64 (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(+.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))))))
(fma.f64 -1 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (.f64 1/2 (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(fma.f64 -1 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))) (.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (.f64 -6 (pow.f64 v 3)))) 1/2))
(-.f64 (.f64 -1/12 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3)))) (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(+.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)))))))
(fma.f64 -1 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (/.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))
(fma.f64 -1 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (*.f64 -6 (pow.f64 v 3)))) 1/2)))
(-.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (.f64 -1/12 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))))) (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(*.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 (PI.f64) (sqrt.f64 1/2))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 -4/3 (.f64 (.f64 v v) (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -3/4 (.f64 (PI.f64) (sqrt.f64 1/2))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (/.f64 -3/4 (.f64 (PI.f64) (sqrt.f64 1/2))) (/.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)))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2))))) (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 (PI.f64) (sqrt.f64 1/2))))) (/.f64 3/4 (.f64 (PI.f64) (sqrt.f64 1/2))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (.f64 (.f64 v v) (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -3/4 (.f64 (PI.f64) (sqrt.f64 1/2))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 -3/4 (*.f64 (PI.f64) (sqrt.f64 1/2))))) -4/3))))
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(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 (/.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 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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(.f64 4/3 (+.f64 (+.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 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.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 (sqrt.f64 -1/6) (PI.f64)) (.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64))))) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9))))
4/3
(+.f64 4/3 (*.f64 4/3 (pow.f64 v 2)))
(+.f64 4/3 (.f64 (.f64 v v) 4/3))
(fma.f64 (*.f64 v v) 4/3 4/3)
(+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 4)) (.f64 4/3 (pow.f64 v 2))))
(+.f64 4/3 (.f64 4/3 (+.f64 (pow.f64 v 4) (.f64 v v))))
(fma.f64 4/3 (+.f64 (*.f64 v v) (pow.f64 v 4)) 4/3)
(+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 4)) (+.f64 (.f64 4/3 (pow.f64 v 6)) (*.f64 4/3 (pow.f64 v 2)))))
(+.f64 4/3 (fma.f64 4/3 (pow.f64 v 4) (.f64 4/3 (+.f64 (pow.f64 v 6) (.f64 v v)))))
(+.f64 4/3 (.f64 4/3 (+.f64 (pow.f64 v 4) (+.f64 (.f64 v v) (pow.f64 v 6)))))
(.f64 4/3 (+.f64 (+.f64 (pow.f64 v 4) 1) (+.f64 (.f64 v v) (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)))))
(/.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)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))
(fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (/.f64 (/.f64 (pow.f64 v 4) -4/9) (sqrt.f64 2))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))))
(+.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))) (fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2)))
(+.f64 (fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (/.f64 (/.f64 (pow.f64 v 4) -4/9) (sqrt.f64 2))) (fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 -6) v)
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 (sqrt.f64 -6)) v))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (-.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -6)) v) (fma.f64 v (sqrt.f64 -6) (*.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -6)) v) (fma.f64 v (sqrt.f64 -6) (.f64 -1/2 (/.f64 -1/6 (.f64 (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 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -6)) v) (.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -6)) v) (+.f64 (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (fma.f64 v (sqrt.f64 -6) (.f64 -1/2 (/.f64 -1/6 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 (sqrt.f64 -6) (neg.f64 v))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (neg.f64 (.f64 v (sqrt.f64 -6))) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(neg.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 (sqrt.f64 -6)) v)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (.f64 1/2 (/.f64 -1/6 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 (sqrt.f64 -6)) v)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (-.f64 (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (.f64 v (sqrt.f64 -6)))) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))
(+.f64 (-.f64 (.f64 1/2 (/.f64 -1/6 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 (sqrt.f64 -6)) v))) (/.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))

eval121.0ms (4.4%)

Compiler: Compiled 5194 to 4023 computations (22.5% saved)

prune440.0ms (16%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	191	2	193

Error

Counts

193 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 55 to 43 computations (21.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`
160×	`add-sqr-sqrt_binary64`
150×	`*-un-lft-identity_binary64`
150×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	335	44
2	4208	44

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (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 (.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)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4/3 (/.f64 1 (.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 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 -4/3 (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 -4/3 (.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 -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 (cbrt.f64 (/.f64 -4/3 (.f64 (fma.f64 v v -1) (sqrt.f64 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Outputs

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

simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-def_binary64`
303×	`distribute-lft-in_binary64`
303×	`distribute-rgt-in_binary64`
281×	`associate-/l*_binary64`
236×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1793
1	532	1717
2	1860	1631

Stop Event

1×	node limit

Counts

123 → 145

Calls

Call 1

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

Outputs
(*.f64 4/3 (sqrt.f64 1/2))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (*.f64 4/3 (sqrt.f64 1/2)))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 3/4 (sqrt.f64 1/2)))) (*.f64 4/3 (sqrt.f64 1/2)))
(fma.f64 4/3 (sqrt.f64 1/2) (.f64 (fma.f64 (sqrt.f64 1/2) -1 (/.f64 -3/4 (sqrt.f64 1/2))) (.f64 -4/3 (*.f64 v v))))
(fma.f64 4/3 (sqrt.f64 1/2) (.f64 -4/3 (.f64 (*.f64 v v) (-.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(+.f64 (.f64 -4/3 (.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 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (.f64 4/3 (sqrt.f64 1/2))))
(fma.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (fma.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 (sqrt.f64 1/2)))) (fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 3/4 (sqrt.f64 1/2)))) (*.f64 4/3 (sqrt.f64 1/2))))
(fma.f64 (.f64 -4/3 (pow.f64 v 4)) (fma.f64 (sqrt.f64 1/2) -1 (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)))) (fma.f64 4/3 (sqrt.f64 1/2) (.f64 (fma.f64 (sqrt.f64 1/2) -1 (/.f64 -3/4 (sqrt.f64 1/2))) (.f64 -4/3 (.f64 v v)))))
(fma.f64 -4/3 (fma.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1/2 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (.f64 3/2 (/.f64 3/4 (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)))) (.f64 4/3 (sqrt.f64 1/2)))
(+.f64 (.f64 -4/3 (.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 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 6) (-.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 (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 4/3 (sqrt.f64 1/2)))))
(fma.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (fma.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 (sqrt.f64 1/2)))) (fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 3/4 (sqrt.f64 1/2)))) (fma.f64 -4/3 (.f64 (pow.f64 v 6) (-.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 (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 (sqrt.f64 1/2)))) (.f64 4/3 (sqrt.f64 1/2)))))
(fma.f64 -4/3 (.f64 (pow.f64 v 4) (fma.f64 (sqrt.f64 1/2) -1 (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))))) (fma.f64 -4/3 (.f64 v (.f64 v (fma.f64 (sqrt.f64 1/2) -1 (/.f64 -3/4 (sqrt.f64 1/2))))) (fma.f64 4/3 (sqrt.f64 1/2) (.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 (sqrt.f64 1/2) -1 (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))))) (.f64 -4/3 (pow.f64 v 6))))))
(fma.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1/2 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (.f64 3/2 (/.f64 3/4 (sqrt.f64 1/2)))) (/.f64 -3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))) (fma.f64 -4/3 (fma.f64 v (.f64 v (-.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (sqrt.f64 1/2))) (.f64 (pow.f64 v 6) (+.f64 (fma.f64 -1/2 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (.f64 3/2 (/.f64 3/4 (sqrt.f64 1/2)))) (-.f64 (/.f64 -135/32 (sqrt.f64 1/2)) (sqrt.f64 1/2))) (/.f64 -3/4 (sqrt.f64 1/2))))) (.f64 4/3 (sqrt.f64 1/2))))
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))
(/.f64 -4/3 (/.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (sqrt.f64 -1/6) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))
(*.f64 -4/3 (+.f64 (/.f64 (-.f64 (sqrt.f64 -1/6) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))
(*.f64 -4/3 (+.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 -4/3 (/.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 -4/3 (/.f64 (-.f64 (sqrt.f64 -1/6) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(fma.f64 -4/3 (/.f64 (-.f64 (fma.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 (sqrt.f64 -1/6))) (pow.f64 v 7)) (*.f64 -4/3 (+.f64 (/.f64 (-.f64 (sqrt.f64 -1/6) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(*.f64 -4/3 (+.f64 (+.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 -1/36 (sqrt.f64 -1/6)) (fma.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))) (pow.f64 v 7))))
(*.f64 -4/3 (+.f64 (/.f64 (+.f64 (sqrt.f64 -1/6) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (sqrt.f64 -1/6)))) (pow.f64 v 7)) (+.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 -4/3 (/.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 -4/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (+.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)))) (sqrt.f64 -1/6))) (sqrt.f64 -1/6))) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (sqrt.f64 -1/6) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(fma.f64 -4/3 (/.f64 (-.f64 (fma.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 (sqrt.f64 -1/6))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (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)))) (sqrt.f64 -1/6)) (sqrt.f64 -1/6))) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 9)) (.f64 -4/3 (+.f64 (/.f64 (-.f64 (sqrt.f64 -1/6) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) (fma.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))) (pow.f64 v 7)) (*.f64 -4/3 (+.f64 (+.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 -1/36 (sqrt.f64 -1/6)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (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) (sqrt.f64 -1/6)) (sqrt.f64 -1/6)))) (pow.f64 v 9)))))
(.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (sqrt.f64 -1/6))) (sqrt.f64 -1/6))) (pow.f64 v 9)) (+.f64 (+.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 (sqrt.f64 -1/6) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (sqrt.f64 -1/6)))) (pow.f64 v 7)))))
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))
(/.f64 (*.f64 4/3 (sqrt.f64 -1/6)) (pow.f64 v 3))
(/.f64 4/3 (/.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (.f64 4/3 (/.f64 (-.f64 (sqrt.f64 -1/6) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 5))))
(*.f64 4/3 (+.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 4/3 (+.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 4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (sqrt.f64 -1/6) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 5))) (.f64 4/3 (/.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)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (*.f64 4/3 (+.f64 (/.f64 (-.f64 (sqrt.f64 -1/6) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 5)) (/.f64 (-.f64 (fma.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 (sqrt.f64 -1/6))) (pow.f64 v 7)))))
(*.f64 4/3 (+.f64 (+.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 -1/36 (sqrt.f64 -1/6)) (fma.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))) (pow.f64 v 7))))
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (+.f64 (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 -1/36 (sqrt.f64 -1/6))) (pow.f64 v 5)) (/.f64 (+.f64 (sqrt.f64 -1/6) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (sqrt.f64 -1/6)))) (pow.f64 v 7)))))
(+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (+.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)))) (sqrt.f64 -1/6))) (sqrt.f64 -1/6))) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (sqrt.f64 -1/6) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 5))) (.f64 4/3 (/.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))))))
(fma.f64 4/3 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (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)))) (sqrt.f64 -1/6)) (sqrt.f64 -1/6))) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (.f64 4/3 (+.f64 (/.f64 (-.f64 (sqrt.f64 -1/6) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 5)) (/.f64 (-.f64 (fma.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 (sqrt.f64 -1/6))) (pow.f64 v 7))))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (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) (sqrt.f64 -1/6)) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (*.f64 4/3 (+.f64 (+.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 -1/36 (sqrt.f64 -1/6)) (fma.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))) (pow.f64 v 7)))))
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(.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 -1/36 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) (PI.f64))) (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 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) (PI.f64)))) (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 (/.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 (+.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 (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 -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 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) (PI.f64)))) (pow.f64 v 7)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) (PI.f64))) (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 (/.f64 -1/36 (sqrt.f64 -1/6)) (PI.f64))) (pow.f64 v 9))))

eval163.0ms (5.9%)

Compiler: Compiled 6554 to 5281 computations (19.4% saved)

prune542.0ms (19.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	228	2	230

Error

Counts

230 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (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))))

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes12.0ms (0.4%)

Accuracy

Total -1.0b remaining (-25000%)

Threshold costs -1.0b (-25000%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Results

Time	Error	Segments	Branch
3.0ms	0.0b	1	`v`
2.0ms	0.0b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
2.0ms	0.0b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
2.0ms	0.0b	1	`(*.f64 v v)`

Compiler

Compiled 101 to 73 computations (27.7% 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 1 (PI.f64)) (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))

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

end19.0ms (0.7%)

Stop Event

1×

done

Compiler

Compiled 38 to 30 computations (21.1% saved)

Details

analyze6.0ms (0.2%)

sample1.1s (39.8%)

preprocess33.0ms (1.2%)

simplify27.0ms (1%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series16.0ms (0.6%)

rewrite63.0ms (2.3%)

simplify62.0ms (2.2%)

eval121.0ms (4.4%)

prune440.0ms (16%)

localize12.0ms (0.4%)

series6.0ms (0.2%)

rewrite69.0ms (2.5%)

simplify50.0ms (1.8%)

eval163.0ms (5.9%)

prune542.0ms (19.7%)

regimes12.0ms (0.4%)

simplify2.0ms (0.1%)

end19.0ms (0.7%)

Profiling