Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.5s (25.1%)

Results

1.5s	8256×	body	256	valid
1.0ms	5×	body	256	invalid

Bogosity

preprocess57.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1332×	`fma-def_binary64`
576×	`fma-neg_binary64`
530×	`distribute-rgt-in_binary64`
496×	`unsub-neg_binary64`
430×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	109	26
3	321	26
4	967	26
5	1747	24
6	3707	24
7	6458	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 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (fma.f64 v v -1))) (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 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-def_binary64`
576×	`fma-neg_binary64`
530×	`distribute-rgt-in_binary64`
496×	`unsub-neg_binary64`
430×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	109	26
3	321	26
4	967	26
5	1747	24
6	3707	24
7	6458	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 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (fma.f64 v v -1))) (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 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))

eval1.0ms (0%)

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

prune2.0ms (0%)

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

Status

Error

Program

▶

1.0b

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

▶

0.0b

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

Compiler

Compiled 38 to 29 computations (23.7% saved)

localize27.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 66 to 45 computations (31.8% saved)

series38.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	v	@	inf	(.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))
1.0ms	v	@	inf	(.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 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))
1.0ms	v	@	0	(.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
432×	`prod-exp_binary64`
396×	`exp-prod_binary64`
359×	`pow-prod-down_binary64`
289×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	238	45
2	2689	45

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64)))))))) (#(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 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (PI.f64) 2)) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 2)) (cbrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (sqrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 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 expm1.f64 (log1p.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(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 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 exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1) (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (PI.f64)) (.f64 (log.f64 (fma.f64 v (.f64 v -6) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1) (.f64 (log.f64 (fma.f64 v (.f64 v -6) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (PI.f64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 v (.f64 v -6) 2)) 1/2) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 v (.f64 v -6) 2)) 1/2) (.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1) (.f64 (log.f64 (PI.f64)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6) (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)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6))))) (#(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 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 (pow.f64 (fma.f64 v (.f64 v -6) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) 3/2)))) (#(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 pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 v (.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 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 log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 v (.f64 v -6) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 v (.f64 v -6) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 v (.f64 v -6) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 v (.f64 v -6) 2)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 v (.f64 v -6) 2)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.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 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (.f64 -1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 v v)) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.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 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.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 (exp.f64 (log1p.f64 (.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 pow.f64 (.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 pow.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.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 pow.f64 (exp.f64 1) (log.f64 (.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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))) 2)) (cbrt.f64 (log.f64 (.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (.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 sqrt.f64 (pow.f64 (.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 log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (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 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.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 log1p.f64 (expm1.f64 (.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 exp.f64 (log.f64 (.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 exp.f64 (.f64 (log.f64 (.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 exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.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 exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1) (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1) (log.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (.f64 (log.f64 (fma.f64 v v -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1) (.f64 (log.f64 (fma.f64 v v -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 v v -1)) 1) (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 (fma.f64 v v -1)) (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 v v -1)) 1) (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))) (.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 v v) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 -1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (PI.f64)))))))) (#(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 (*.f64 (fma.f64 v (*.f64 v -6) 2) (pow.f64 (PI.f64) 2)) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 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 expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1) (*.f64 (log.f64 (PI.f64)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6) (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)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6))))) (#(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 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 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)) 3/2)))) (#(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 pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 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 log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 v (*.f64 v -6) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 v (*.f64 v -6) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.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 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (*.f64 -1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.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 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.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 (exp.f64 (log1p.f64 (*.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 pow.f64 (*.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 pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.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 pow.f64 (exp.f64 1) (log.f64 (*.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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 2)) (cbrt.f64 (log.f64 (*.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (*.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 sqrt.f64 (pow.f64 (*.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 log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (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 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.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 log1p.f64 (expm1.f64 (*.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 exp.f64 (log.f64 (*.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 exp.f64 (*.f64 (log.f64 (*.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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.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 exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1) (log.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (*.f64 (log.f64 (fma.f64 v v -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1) (*.f64 (log.f64 (fma.f64 v v -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v v -1)) 1) (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 (fma.f64 v v -1)) (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v v -1)) 1) (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (fma.f64 v v -1))) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 v v) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 -1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

477×	`associate-/r*_binary64`
450×	`times-frac_binary64`
380×	`associate-+l+_binary64`
371×	`associate-l_binary64`
345×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1354
1	540	1266
2	1873	1170
3	7368	1158

Stop Event

1×	node limit

Counts

142 → 176

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

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 (.f64 -3 (.f64 v (*.f64 (PI.f64) v))) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 2) (PI.f64) (/.f64 (.f64 v (.f64 (*.f64 (PI.f64) v) -3)) (sqrt.f64 2)))
(+.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 (.f64 -3 (.f64 v (.f64 (PI.f64) v))) (sqrt.f64 2))) (.f64 -9/4 (/.f64 (*.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))))
(+.f64 (fma.f64 (sqrt.f64 2) (PI.f64) (/.f64 (.f64 v (.f64 (.f64 (PI.f64) v) -3)) (sqrt.f64 2))) (.f64 (/.f64 (PI.f64) -4/9) (/.f64 (pow.f64 v 4) (sqrt.f64 2))))
(+.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 (.f64 v (.f64 (PI.f64) v)) (sqrt.f64 2)) (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 (/.f64 (PI.f64) -4/9) (/.f64 (pow.f64 v 4) (sqrt.f64 2))) (fma.f64 -3 (/.f64 (PI.f64) (/.f64 (/.f64 (sqrt.f64 2) v) v)) (fma.f64 (sqrt.f64 2) (PI.f64) (.f64 (/.f64 -27/2 (pow.f64 (sqrt.f64 2) 5)) (*.f64 (PI.f64) (pow.f64 v 6))))))
(.f64 (sqrt.f64 -6) (.f64 v (PI.f64)))
(.f64 v (.f64 (PI.f64) (sqrt.f64 -6)))
(.f64 (PI.f64) (.f64 v (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 (PI.f64) (.f64 v (sqrt.f64 -6))))
(fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v))
(+.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)))))
(+.f64 (/.f64 (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)) (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(+.f64 (.f64 (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (PI.f64)) (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)))
(+.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))))))
(+.f64 (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (/.f64 (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3))) (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))))
(+.f64 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)) (fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (pow.f64 v 5)) (.f64 (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (PI.f64))))
(+.f64 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (*.f64 (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (PI.f64))))
(.f64 -1 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(neg.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 (sqrt.f64 -6) (neg.f64 (.f64 (PI.f64) v)))
(.f64 (PI.f64) (.f64 v (neg.f64 (sqrt.f64 -6))))
(+.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 (PI.f64) (.f64 v (sqrt.f64 -6)))))
(neg.f64 (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.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))))))
(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 (PI.f64) (.f64 v (sqrt.f64 -6)))) (/.f64 (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)))
(-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (/.f64 -1/12 (sqrt.f64 -6))) (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.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 (.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 (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 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (pow.f64 v 5)) (.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (/.f64 -1/12 (sqrt.f64 -6)))) (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)))
(-.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (/.f64 -1/12 (sqrt.f64 -6)))) (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)))
(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 -9/4 (/.f64 (pow.f64 v 4) (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 -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 (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 (/.f64 1 v) (sqrt.f64 -6)))
(fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 (/.f64 1 v) (sqrt.f64 -6))) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3))))
(+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (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 (/.f64 (/.f64 1 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 1 (.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)))))
(+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (pow.f64 v 5)) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 v (neg.f64 (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -6))) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(neg.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 (/.f64 -1 v) (sqrt.f64 -6)) (*.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 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 (/.f64 1 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 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.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))))))
(-.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 (/.f64 1 v) (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))
(-.f64 (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 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))
(+.f64 (/.f64 (/.f64 -1 v) (sqrt.f64 -6)) (-.f64 (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (pow.f64 v 5)))))
(+.f64 (/.f64 (/.f64 -1 v) (sqrt.f64 -6)) (-.f64 (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))
(neg.f64 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (pow.f64 v 2) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)) (.f64 (.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (PI.f64)))))
(fma.f64 (.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 2) (PI.f64) (/.f64 3 (/.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))
(fma.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)) (fma.f64 (.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))))
(-.f64 (fma.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))) (.f64 v (.f64 v (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (PI.f64)))))) (*.f64 (sqrt.f64 2) (PI.f64)))
(-.f64 (fma.f64 (pow.f64 v 4) (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4) (.f64 v (.f64 v (fma.f64 (sqrt.f64 2) (PI.f64) (/.f64 3 (/.f64 (sqrt.f64 2) (PI.f64))))))) (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 (+.f64 (.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(fma.f64 (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6) (fma.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)) (fma.f64 (.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (.f64 -9/4 (/.f64 (PI.f64) (sqrt.f64 2)))) (-.f64 (fma.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))) (.f64 v (.f64 v (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (PI.f64)))))) (.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (/.f64 (PI.f64) -4/9) (sqrt.f64 2))) (-.f64 (fma.f64 (pow.f64 v 4) (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4) (.f64 v (.f64 v (fma.f64 (sqrt.f64 2) (PI.f64) (/.f64 3 (/.f64 (sqrt.f64 2) (PI.f64))))))) (.f64 (sqrt.f64 2) (PI.f64))))
(.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) (PI.f64)))
(.f64 (sqrt.f64 -6) (.f64 (PI.f64) (pow.f64 v 3)))
(.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3)))
(+.f64 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(fma.f64 v (fma.f64 -1 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) (*.f64 (PI.f64) (pow.f64 v 3))))
(fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (PI.f64) (*.f64 (sqrt.f64 -6) (pow.f64 v 3))))
(+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))))
(+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (-.f64 (pow.f64 v 3) v)))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (+.f64 (/.f64 (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(+.f64 (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v)))))
(+.f64 (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (-.f64 (pow.f64 v 3) v))))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(fma.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))) (.f64 (sqrt.f64 -6) (*.f64 (PI.f64) (pow.f64 v 3))))))))
(-.f64 (+.f64 (/.f64 (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 (sqrt.f64 -6) (.f64 (PI.f64) (pow.f64 v 3)) (/.f64 (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)))))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))
(+.f64 (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 -1/12 (sqrt.f64 -6)) (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))))))
(+.f64 (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 -1/12 (sqrt.f64 -6)) (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (-.f64 (pow.f64 v 3) v)))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(neg.f64 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 (.f64 (sqrt.f64 -6) (pow.f64 v 3)) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -6))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(fma.f64 -1 (.f64 v (fma.f64 -1 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (neg.f64 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))))
(neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (PI.f64) (*.f64 (sqrt.f64 -6) (pow.f64 v 3)))))
(neg.f64 (+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v)))))
(-.f64 (neg.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (-.f64 (pow.f64 v 3) v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 -1 (.f64 v (fma.f64 -1 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (neg.f64 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))))))
(-.f64 (neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))))) (/.f64 (-.f64 (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(neg.f64 (+.f64 (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))))))
(neg.f64 (+.f64 (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (-.f64 (pow.f64 v 3) v)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 -1 (/.f64 (.f64 1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3)) (fma.f64 -1 (.f64 v (fma.f64 -1 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (neg.f64 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))))
(-.f64 (-.f64 (neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (PI.f64) (.f64 (sqrt.f64 -6) (pow.f64 v 3))))) (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))
(-.f64 (neg.f64 (+.f64 (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v)))))) (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 -1/12 (sqrt.f64 -6)) (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (-.f64 (neg.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (-.f64 (pow.f64 v 3) v))) (.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 -1/12 (sqrt.f64 -6)) (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5))))))

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
✓	0.0b	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
✓	0.1b	(.f64 6 (.f64 v v))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Compiler

Compiled 86 to 52 computations (39.5% saved)

series10.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite74.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log-prod_binary64`
329×	`prod-diff_binary64`
303×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
251×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	375	75
2	4681	69

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (neg.f64 (.f64 3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (/.f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v 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 (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v 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 (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v 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 (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v 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 (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 v (.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 6) (.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 v) (log.f64 6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (fma.f64 (.f64 v v) -6 2) (pow.f64 (.f64 3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 3) (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2) (pow.f64 (.f64 3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (cbrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4) (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4)))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 8 (.f64 216 (pow.f64 v 6)))) (sqrt.f64 (+.f64 4 (fma.f64 36 (pow.f64 v 4) (.f64 12 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 v v) -6 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1))))))

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

513×	`associate-+l+_binary64`
464×	`associate-+r+_binary64`
445×	`associate-/r*_binary64`
404×	`associate-*l/_binary64`
383×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2088
1	677	1998
2	2584	1890

Stop Event

1×	node limit

Counts

136 → 160

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))
(+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))))))
(+.f64 (.f64 3 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))))
(.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))))))))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64)))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 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 v v) (+.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 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 1/2 (/.f64 (+.f64 27/2 (/.f64 (.f64 -3/4 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))) 1/2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (fma.f64 (pow.f64 v 6) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.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 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 4/3 (/.f64 (pow.f64 v 7) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64))))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 1/2 (PI.f64)))) (pow.f64 v 7)) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 4/3 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 4/3 (/.f64 (+.f64 (-.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 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 4/3 (/.f64 (pow.f64 v 7) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64)))))))))
(fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.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))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 1/2 (PI.f64)))) (pow.f64 v 7)) (*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 (/.f64 -4/3 (pow.f64 v 5)) (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (.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)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)))))
(fma.f64 -4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 1/2 (PI.f64)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 (/.f64 -4/3 (pow.f64 v 5)) (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 -4/3 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 -4/3 (/.f64 (+.f64 (-.f64 (.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))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.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 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 7)) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (.f64 -4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5))))))
(+.f64 (.f64 -4/3 (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.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))))) (pow.f64 v 9)) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 1/2 (PI.f64)))) (pow.f64 v 7)) (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5))))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(*.f64 6 (pow.f64 v 2))
(.f64 (.f64 v v) 6)
(.f64 v (.f64 v 6))
(.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))
(.f64 3 (.f64 (PI.f64) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) 3))
(+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))
(.f64 3 (+.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (.f64 v v) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (*.f64 (PI.f64) (sqrt.f64 2)))))))
(.f64 3 (fma.f64 (PI.f64) (sqrt.f64 2) (.f64 (.f64 v v) (-.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (PI.f64) (sqrt.f64 2))))))
(.f64 3 (fma.f64 (PI.f64) (sqrt.f64 2) (.f64 v (.f64 v (fma.f64 (neg.f64 (sqrt.f64 2)) (PI.f64) (.f64 (/.f64 -3 (sqrt.f64 2)) (PI.f64)))))))
(+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))))))
(fma.f64 3 (.f64 (pow.f64 v 4) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (.f64 3 (+.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (.f64 v v) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (*.f64 (PI.f64) (sqrt.f64 2))))))))
(.f64 3 (+.f64 (fma.f64 (PI.f64) (sqrt.f64 2) (.f64 (.f64 v v) (-.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 (PI.f64) (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 -9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))))
(.f64 3 (+.f64 (fma.f64 (PI.f64) (sqrt.f64 2) (.f64 v (.f64 v (fma.f64 (neg.f64 (sqrt.f64 2)) (PI.f64) (.f64 (/.f64 -3 (sqrt.f64 2)) (PI.f64)))))) (.f64 (pow.f64 v 4) (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) 3/4))))
(+.f64 (.f64 3 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))))
(fma.f64 3 (.f64 (pow.f64 v 6) (fma.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (.f64 9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3)))) (fma.f64 3 (.f64 (pow.f64 v 4) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (.f64 3 (+.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (.f64 v v) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (*.f64 (PI.f64) (sqrt.f64 2)))))))))
(fma.f64 3 (.f64 (pow.f64 v 6) (fma.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2))))) (.f64 3 (+.f64 (fma.f64 (PI.f64) (sqrt.f64 2) (.f64 (.f64 v v) (-.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 (PI.f64) (sqrt.f64 2))))) (.f64 (pow.f64 v 4) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 -9/4 (/.f64 (PI.f64) (sqrt.f64 2))))))))
(.f64 3 (+.f64 (fma.f64 (PI.f64) (sqrt.f64 2) (.f64 v (.f64 v (fma.f64 (neg.f64 (sqrt.f64 2)) (PI.f64) (.f64 (/.f64 -3 (sqrt.f64 2)) (PI.f64)))))) (+.f64 (.f64 (pow.f64 v 6) (fma.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) 9/4))) (.f64 (pow.f64 v 4) (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) 3/4)))))
(.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 (pow.f64 v 3) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3))
(.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -6)) (*.f64 (PI.f64) -3))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))
(fma.f64 -3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))))))
(fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (pow.f64 v 3) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3)))
(fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -6)) (*.f64 (PI.f64) -3)))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))))))))
(fma.f64 3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 -3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))))))
(fma.f64 3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (pow.f64 v 3) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) -3))))
(fma.f64 3 (/.f64 (.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -6)) (.f64 (PI.f64) -3))))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(fma.f64 3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 -3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(fma.f64 3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (pow.f64 v 3) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3)))))
(fma.f64 3 (/.f64 (.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) 1/12)) (pow.f64 v 3)) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -6)) (*.f64 (PI.f64) -3)))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 3 (.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))
(.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 3 (pow.f64 v 3)))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(fma.f64 -3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))))
(fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 v -3)))
(fma.f64 (.f64 v -3) (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 3 (pow.f64 v 3))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(fma.f64 -3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (/.f64 -3 v) (.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(fma.f64 -3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 -3 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) 1/12)) (pow.f64 v 3)) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (/.f64 -3 v) (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (/.f64 v (/.f64 (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 (.f64 v v) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))))
(+.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (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))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (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 (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 1 (*.f64 v (sqrt.f64 -6))))
(-.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 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1/12 (.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 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 v (sqrt.f64 -6) (*.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3))))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (/.f64 1/12 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 v (neg.f64 (sqrt.f64 -6)))
(-.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))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.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 v 3) (pow.f64 (sqrt.f64 -6) 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 -1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 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 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (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 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))
(+.f64 (-.f64 (/.f64 -1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6))))) (/.f64 -1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))

eval292.0ms (5%)

Compiler: Compiled 9378 to 7169 computations (23.6% saved)

prune41.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	331	5	336
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	331	7	338

Error

Counts

338 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	1.2b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))
✓	0.0b	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
▶	1.4b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
▶	1.4b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
▶	0.0b	(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))
▶	0.4b	(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))

Compiler

Compiled 184 to 155 computations (15.8% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 83 to 48 computations (42.2% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`log-prod_binary64`
345×	`pow2_binary64`
241×	`pow1/3_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	314	53
2	3878	53

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (/.f64 (pow.f64 (hypot.f64 1 v) -2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4/3 (/.f64 1 (.f64 (PI.f64) (neg.f64 (fma.f64 v v 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (hypot.f64 1 v) -2) (PI.f64)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (PI.f64)) (pow.f64 (hypot.f64 1 v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v v 1) (/.f64 4/3 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 v v 1) (/.f64 4/3 (PI.f64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 v v) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 v v)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (fma.f64 v v 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (fma.f64 v v 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) (fma.f64 v v 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) (fma.f64 v v 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) (fma.f64 v v 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (PI.f64)) (hypot.f64 1 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (hypot.f64 1 v) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (hypot.f64 1 v) 6) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) (fma.f64 v v 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (fma.f64 v v 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) (fma.f64 v v 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (hypot.f64 1 v) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (hypot.f64 1 v) 6) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (fma.f64 v v 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) (.f64 v v) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (PI.f64) (PI.f64))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (.f64 (.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (.f64 (.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (.f64 (.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (.f64 (.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (.f64 (.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 4/3 (.f64 (.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 (pow.f64 (hypot.f64 1 v) -2) (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (/.f64 1 (.f64 (.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 4/3 (.f64 (/.f64 (pow.f64 (hypot.f64 1 v) -2) (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 4/3 (.f64 (.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 (/.f64 4/3 (PI.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 (/.f64 4/3 (.f64 (.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 (cbrt.f64 (/.f64 4/3 (.f64 (.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.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 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2) (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (.f64 (.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 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.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 (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4/3 (.f64 (PI.f64) (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 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (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 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) 1) (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 (pow.f64 (hypot.f64 1 v) -2) (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) 2) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (.f64 (.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 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (pow.f64 (hypot.f64 1 v) -2) (PI.f64)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/4) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (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 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) 2) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.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 4/3 (.f64 (.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2) (fma.f64 v (.f64 v -6) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (.f64 (.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (/.f64 (fma.f64 v v 1) (/.f64 4/3 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 3) (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (fma.f64 v v 1) (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (/.f64 (fma.f64 v v 1) (/.f64 4/3 (PI.f64)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (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 (/.f64 (/.f64 4/3 (PI.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 4/3 (.f64 (.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 4/3 (.f64 (.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 4/3 (.f64 (.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 (/.f64 4/3 (PI.f64)) (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 4/3 (.f64 (.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (.f64 (.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 4/3 (.f64 (.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 4/3 (.f64 (.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 2 (.f64 v (.f64 v -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 v (.f64 v -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 v (.f64 v -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 v (.f64 v -6)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 v (.f64 v -6) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 v (.f64 v -6) 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 v (.f64 v -6) 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 1 (fma.f64 v (.f64 v -6) 2))))) (#(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 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (cbrt.f64 (pow.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 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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 (pow.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) 3) (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))) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 v (.f64 v -6)) 3) 8) (+.f64 (pow.f64 (.f64 v (.f64 v -6)) 2) (-.f64 4 (.f64 (.f64 v (.f64 v -6)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 v (.f64 v -6)) 2) 4) (fma.f64 v (.f64 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) 3/2) 2/3)))) (#(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 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/6) 6)))) (#(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 pow.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) 4)))) (#(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 log1p.f64 (expm1.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))))))

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-def_binary64`
439×	`associate-l_binary64`
395×	`associate-r_binary64`
354×	`fma-neg_binary64`
310×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1599
1	460	1533
2	1626	1436
3	7597	1436

Stop Event

1×	node limit

Counts

181 → 182

Calls

Call 1

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (sqrt.f64 1/2) (PI.f64))

Compiler

Compiled 16 to 14 computations (12.5% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite71.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
486×	`add-sqr-sqrt_binary64`
469×	`add-log-exp_binary64`
469×	`log1p-expm1-u_binary64`
469×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	105	7
2	1261	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 1/2) (PI.f64))

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

30 → 30

Calls

Call 1

Inputs

Outputs

localize39.0ms (0.7%)

Compiler: Compiled 20 to 15 computations (25% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 55 to 36 computations (34.5% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`log-prod_binary64`
344×	`pow2_binary64`
239×	`pow1/3_binary64`
237×	`pow-unpow_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	297	52
2	3584	52

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) (pow.f64 2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (*.f64 3 (PI.f64))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 3 (PI.f64))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 3 (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (pow.f64 (*.f64 3 (PI.f64)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (pow.f64 (*.f64 3 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (PI.f64) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 3 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 3 (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (PI.f64)) 1 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (PI.f64)) 1 (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3 (PI.f64))) (cbrt.f64 (*.f64 9 (pow.f64 (PI.f64) 2))) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3 (PI.f64))) (cbrt.f64 (*.f64 9 (pow.f64 (PI.f64) 2))) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 3 (PI.f64))) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 3 (PI.f64))) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 3) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (PI.f64))) (sqrt.f64 (*.f64 3 (PI.f64))) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (PI.f64))) (sqrt.f64 (*.f64 3 (PI.f64))) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 3) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))))

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

768×	`times-frac_binary64`
571×	`associate-/l*_binary64`
429×	`associate-*l/_binary64`
298×	`cancel-sign-sub-inv_binary64`
294×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	943
1	202	908
2	645	800
3	2255	744
4	7484	744

Stop Event

1×	node limit

Counts

134 → 125

Calls

Call 1

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

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

localize69.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))
✓	0.1b	(/.f64 v (/.f64 (sqrt.f64 2) v))
✓	0.5b	(/.f64 (sqrt.f64 2) v)
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))

Compiler

Compiled 92 to 64 computations (30.4% saved)

series10.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))
2.0ms	v	@	0	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))
1.0ms	v	@	inf	(/.f64 (sqrt.f64 2) v)
1.0ms	v	@	-inf	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))
1.0ms	v	@	inf	(/.f64 v (/.f64 (sqrt.f64 2) v))

rewrite173.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`log-prod_binary64`
313×	`expm1-udef_binary64`
312×	`log1p-udef_binary64`
258×	`log-pow_binary64`
252×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	389	61
2	4938	61

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 3 (PI.f64)) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (neg.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 3 (PI.f64)) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (*.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) v))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) v))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) v)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 2) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sqrt.f64 2) v)) (cbrt.f64 (/.f64 2 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 (.f64 v v))) (cbrt.f64 (/.f64 (sqrt.f64 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sqrt.f64 2) v)) (sqrt.f64 (/.f64 (sqrt.f64 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 v) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (sqrt.f64 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) v)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 v (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (/.f64 v (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (exp.f64 v) (/.f64 v (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (/.f64 v (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (/.f64 v (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (/.f64 v (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (/.f64 v (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 v (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 v (/.f64 v (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 v (/.f64 v (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 v (/.f64 v (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (.f64 v (/.f64 v (sqrt.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 v (/.f64 v (sqrt.f64 2)))) 2) (cbrt.f64 (.f64 v (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 v) 2) (.f64 (cbrt.f64 v) (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 v (/.f64 v (sqrt.f64 2)))) (sqrt.f64 (.f64 v (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 v) (.f64 (sqrt.f64 v) (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 v) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 v (sqrt.f64 2)) v)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (/.f64 (sqrt.f64 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (/.f64 (sqrt.f64 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 2)) (/.f64 v (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 v) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 v) (sqrt.f64 2)) (/.f64 (sqrt.f64 v) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (/.f64 2 (.f64 v v)))) (/.f64 v (cbrt.f64 (/.f64 (sqrt.f64 2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (cbrt.f64 (/.f64 2 (.f64 v v)))) (cbrt.f64 (.f64 v (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 v) (cbrt.f64 (/.f64 2 (.f64 v v)))) (/.f64 (sqrt.f64 v) (cbrt.f64 (/.f64 (sqrt.f64 2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) v))) (/.f64 v (sqrt.f64 (/.f64 (sqrt.f64 2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) v))) (/.f64 (cbrt.f64 v) (sqrt.f64 (/.f64 (sqrt.f64 2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 v 1) (/.f64 v (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 v (neg.f64 (sqrt.f64 2))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 v (sqrt.f64 2)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 v (sqrt.f64 2)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 v (sqrt.f64 2)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (/.f64 v (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 v (/.f64 v (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (/.f64 v (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 v (/.f64 v (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (.f64 v v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (/.f64 (neg.f64 (sqrt.f64 2)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 v (/.f64 v (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (/.f64 v (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 v (/.f64 v (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 (/.f64 (sqrt.f64 2) v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 v (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 v (/.f64 v (sqrt.f64 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 2) (cbrt.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) (sqrt.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) 3) (.f64 2 (sqrt.f64 2))) (fma.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (-.f64 2 (.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) -2) (-.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (sqrt.f64 2)) (exp.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))) (exp.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)))) (+.f64 1 (expm1.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))) 1))))))

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

866×	`times-frac_binary64`
728×	`associate-l_binary64`
515×	`associate-/r*_binary64`
470×	`associate-/l*_binary64`
395×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1617
1	328	1483
2	1531	1442

Stop Event

1×	node limit

Counts

171 → 156

Calls

Call 1

Inputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4 (/.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (PI.f64) 2))))) (pow.f64 v 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2)))))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64)))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (pow.f64 (PI.f64) 2))) (.f64 -1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))))) (PI.f64)))) (pow.f64 v 10))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64)))))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64)))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (pow.f64 (PI.f64) 2))) (.f64 -1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))))) (PI.f64)))) (pow.f64 v 10))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64)))))))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))

Outputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -4/3 (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 2) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (*.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 v (.f64 v (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 (PI.f64) 2))))
(fma.f64 -2/3 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 v v))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1 (.f64 (pow.f64 v 4) (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (+.f64 (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -4/3 (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 2) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (*.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -2/3 (/.f64 (.f64 v (.f64 v (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 v 4)) (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 2) 2)))) (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64)))))
(-.f64 (fma.f64 -2/3 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 v v))) (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (pow.f64 v 4) (fma.f64 (/.f64 -2/3 (sqrt.f64 2)) (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (pow.f64 (PI.f64) 3)) (/.f64 2 (.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4 (/.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (PI.f64) 2))))) (pow.f64 v 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2)))))))
(fma.f64 -1 (.f64 (fma.f64 -1 (.f64 (/.f64 (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (sqrt.f64 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (PI.f64))) (.f64 -4 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 v 6)) (fma.f64 -1 (.f64 (pow.f64 v 4) (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (+.f64 (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -4/3 (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 2) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (PI.f64) 2)))))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (.f64 v (.f64 v (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 v 4)) (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 2) 2)))) (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (-.f64 (.f64 -1 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2))) (/.f64 (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (PI.f64))))) (pow.f64 v 6)))
(-.f64 (fma.f64 -2/3 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 v v))) (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64)))) (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (sqrt.f64 2)) (/.f64 (fma.f64 (/.f64 -2/3 (sqrt.f64 2)) (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (pow.f64 (PI.f64) 3)) (/.f64 2 (.f64 (sqrt.f64 2) (PI.f64)))) (PI.f64)))) (pow.f64 v 6) (.f64 (pow.f64 v 4) (fma.f64 (/.f64 -2/3 (sqrt.f64 2)) (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (pow.f64 (PI.f64) 3)) (/.f64 2 (*.f64 (sqrt.f64 2) (PI.f64)))))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4))))
(*.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64)))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4)))))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6))))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (.f64 (/.f64 -8/27 (pow.f64 (PI.f64) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 v 6))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8)) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4))))))
(+.f64 (fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)))) (/.f64 (neg.f64 (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (*.f64 8/27 (sqrt.f64 2)) (PI.f64)))) (pow.f64 v 8)))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (fma.f64 (/.f64 -8/27 (pow.f64 v 6)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2)) (/.f64 (neg.f64 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (*.f64 (sqrt.f64 2) 8/27) (PI.f64)))) (pow.f64 v 8))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (pow.f64 (PI.f64) 2))) (.f64 -1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))))) (PI.f64)))) (pow.f64 v 10))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64)))))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (sqrt.f64 2) 4)) (pow.f64 (PI.f64) 2)) (.f64 -1/3 (/.f64 (sqrt.f64 2) (/.f64 (PI.f64) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))))) (pow.f64 v 10)) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8)) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))))))
(+.f64 (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6))) (-.f64 (-.f64 (.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4))) (/.f64 (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 8/27 (sqrt.f64 2)) (PI.f64))) (pow.f64 v 8))) (/.f64 (fma.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 8/27 (sqrt.f64 2)) (PI.f64))))) (/.f64 (.f64 -16/81 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (pow.f64 (PI.f64) 2))) (pow.f64 v 10))))
(-.f64 (fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (fma.f64 (/.f64 -8/27 (pow.f64 v 6)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2)) (/.f64 (neg.f64 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 (sqrt.f64 2) 8/27) (PI.f64)))) (pow.f64 v 8)))) (/.f64 (fma.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 (sqrt.f64 2) 8/27) (PI.f64))))) (.f64 (/.f64 -16/81 (pow.f64 (PI.f64) 2)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 v 10)))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4))))
(*.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64)))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4)))))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6))))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (.f64 (/.f64 -8/27 (pow.f64 (PI.f64) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 v 6))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8)) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4))))))
(+.f64 (fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)))) (/.f64 (neg.f64 (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (*.f64 8/27 (sqrt.f64 2)) (PI.f64)))) (pow.f64 v 8)))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (fma.f64 (/.f64 -8/27 (pow.f64 v 6)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2)) (/.f64 (neg.f64 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (*.f64 (sqrt.f64 2) 8/27) (PI.f64)))) (pow.f64 v 8))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (pow.f64 (PI.f64) 2))) (.f64 -1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))))) (PI.f64)))) (pow.f64 v 10))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64)))))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (sqrt.f64 2) 4)) (pow.f64 (PI.f64) 2)) (.f64 -1/3 (/.f64 (sqrt.f64 2) (/.f64 (PI.f64) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))))) (pow.f64 v 10)) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8)) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))))))
(+.f64 (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6))) (-.f64 (-.f64 (.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4))) (/.f64 (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 8/27 (sqrt.f64 2)) (PI.f64))) (pow.f64 v 8))) (/.f64 (fma.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 8/27 (sqrt.f64 2)) (PI.f64))))) (/.f64 (.f64 -16/81 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (pow.f64 (PI.f64) 2))) (pow.f64 v 10))))
(-.f64 (fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (fma.f64 (/.f64 -8/27 (pow.f64 v 6)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2)) (/.f64 (neg.f64 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 (sqrt.f64 2) 8/27) (PI.f64)))) (pow.f64 v 8)))) (/.f64 (fma.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 (sqrt.f64 2) 8/27) (PI.f64))))) (.f64 (/.f64 -16/81 (pow.f64 (PI.f64) 2)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 v 10)))
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(/.f64 (pow.f64 v 2) (sqrt.f64 2))
(/.f64 (*.f64 v v) (sqrt.f64 2))
(*.f64 (/.f64 v (sqrt.f64 2)) v)
(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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(+.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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(+.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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))

eval272.0ms (4.7%)

Compiler: Compiled 12737 to 9690 computations (23.9% saved)

prune77.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	488	5	493
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	491	9	500

Error

Counts

500 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
▶	1.2b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (+.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))
▶	0.0b	(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 v (*.f64 v -6)) 2))))
▶	0.4b	(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	1.4b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
✓	0.0b	(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))
▶	1.4b	(.f64 (/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 4)
▶	0.4b	(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))

Compiler

Compiled 227 to 192 computations (15.4% saved)

localize41.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 v (*.f64 v -6)) 2)))
	0.0b	(*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))
✓	0.1b	(.f64 v (.f64 v -6))
	1.0b	(/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))

Compiler

Compiled 92 to 60 computations (34.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`log-prod_binary64`
277×	`log1p-udef_binary64`
276×	`expm1-udef_binary64`
230×	`prod-diff_binary64`
223×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	347	31
2	4447	31

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -6))) (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 v v) 3) -216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 v (*.f64 v -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 v v) 3) -216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -6))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (*.f64 (*.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (cbrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.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 4/3 (*.f64 (*.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 (/.f64 1 (PI.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 1 (*.f64 (*.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 4/3 (*.f64 (/.f64 (/.f64 1 (PI.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 1 (/.f64 4/3 (*.f64 (*.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 (/.f64 4/3 (PI.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 (/.f64 4/3 (*.f64 (*.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 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2)) (*.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.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 (cbrt.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.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 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2) (fma.f64 v (*.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (*.f64 (*.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 (PI.f64))) (hypot.f64 1 v)) (*.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (*.f64 (PI.f64) (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 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (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 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) 1) (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (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 1 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (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 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2)) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (*.f64 (*.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 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (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 1 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (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 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.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 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) 3/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (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 (/.f64 (/.f64 4/3 (PI.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 4/3 (*.f64 (*.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 4/3 (*.f64 (*.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 4/3 (*.f64 (*.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 (/.f64 4/3 (PI.f64)) (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 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (*.f64 (*.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 4/3 (*.f64 (*.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 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1))))))

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

585×	`distribute-rgt-out_binary64`
497×	`fma-def_binary64`
380×	`associate-l_binary64`
356×	`associate-r_binary64`
237×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1115
1	337	1070
2	1241	984
3	6132	983

Stop Event

1×	node limit

Counts

81 → 82

Calls

Call 1

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

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

localize8.0ms (0.1%)

Compiler: Compiled 16 to 14 computations (12.5% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 29 computations (38.3% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
334×	`pow2_binary64`
231×	`pow1/3_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	283	44
2	3428	44

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (*.f64 4/3 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sqrt.f64 1/2)) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4/3 (sqrt.f64 1/2))) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) 1) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (-.f64 1 (*.f64 v v))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2)) (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 (sqrt.f64 1/2)) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) -4/3) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64))) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (*.f64 4/3 (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1 (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))))

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/l*_binary64`
422×	`distribute-lft-out_binary64`
384×	`associate-/l/_binary64`
351×	`associate-*l/_binary64`
316×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	928
1	260	900
2	784	825
3	2591	770
4	7526	770

Stop Event

1×	node limit

Counts

131 → 131

Calls

Call 1

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

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

localize25.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
✓	1.0b	(/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 63 to 42 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))
1.0ms	v	@	inf	(/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))
0.0ms	v	@	-inf	(/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))
0.0ms	v	@	inf	(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))
0.0ms	v	@	0	(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))

rewrite62.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
334×	`pow2_binary64`
229×	`pow1/3_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	281	33
2	3517	33

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))
(.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 2 -1/6) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 (neg.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (pow.f64 2 -1/6) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/4) 1) (/.f64 (pow.f64 2 -1/4) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/4) (PI.f64)) (/.f64 (pow.f64 2 -1/4) (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (sqrt.f64 1/2) (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (PI.f64)) (/.f64 (pow.f64 2 -1/6) (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/4) (*.f64 3 (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 2 -1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (*.f64 3 (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 2 -1/6) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) -2) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/4) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 2)) (/.f64 (pow.f64 2 -1/4) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) -1/2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) (/.f64 (pow.f64 2 -1/6) (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) 3)) (/.f64 (pow.f64 2 -1/6) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/4) (*.f64 (PI.f64) 3)) (/.f64 (pow.f64 2 -1/4) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 -3/2) (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) (sqrt.f64 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (neg.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 2 -3/2) (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 3) 1) (*.f64 (*.f64 (PI.f64) 3) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 3) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 3) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 3 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) 3) 1 (*.f64 (*.f64 (PI.f64) 3) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 3)) 2) (cbrt.f64 (*.f64 (PI.f64) 3)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 3)) (sqrt.f64 (*.f64 (PI.f64) 3)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))))

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-def_binary64`
731×	`times-frac_binary64`
683×	`associate-/r*_binary64`
562×	`associate-l_binary64`
505×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	618
1	154	593
2	441	511
3	1391	462
4	7638	462

Stop Event

1×	node limit

Counts

102 → 99

Calls

Call 1

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

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

localize37.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))
✓	0.2b	(.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2)))
✓	0.4b	(/.f64 v (sqrt.f64 2))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (+.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))

Compiler

Compiled 100 to 71 computations (29% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite112.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

410×	`fma-def_binary64`
345×	`expm1-udef_binary64`
344×	`log1p-udef_binary64`
281×	`log-pow_binary64`
227×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	423	64
2	5717	64

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 1 (.f64 3 (PI.f64))) (.f64 (-.f64 1 (.f64 v v)) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (neg.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (.f64 3 (PI.f64))) (.f64 (-.f64 1 (.f64 v v)) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -27 (pow.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) 3) (pow.f64 2 3/2))) (-.f64 (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) 2) (.f64 -3 (.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) -2)) (-.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 v (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 v (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 v (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 v (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 v (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 v v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 v v) 2)) (cbrt.f64 (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 v) 2) (.f64 (cbrt.f64 v) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 v (sqrt.f64 2))) (sqrt.f64 (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 v) (.f64 (sqrt.f64 v) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 v) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 -1/2) v)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 2)) (/.f64 v (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 v) (cbrt.f64 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 v (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 v) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 v (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 v (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 v v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 v (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 v (sqrt.f64 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (.f64 v (.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 v -3) (/.f64 (sqrt.f64 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 v (.f64 v -3)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 v (.f64 v -3))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 v (.f64 v -3)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 v (.f64 v -3)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 v (.f64 v -3)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 v) (.f64 v -3)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 v -3) (neg.f64 v)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -27 (pow.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -3) v) (/.f64 v (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -27 (pow.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) 2) (-.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) (sqrt.f64 2))) (/.f64 2 (-.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 2) (cbrt.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) (sqrt.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -27 (pow.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) 3) (pow.f64 2 3/2)) (/.f64 1 (-.f64 (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) 2) (.f64 -3 (.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) -2) (/.f64 1 (-.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) 2) (.f64 -3 (.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))) (fma.f64 -27 (pow.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) 3) (pow.f64 2 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) (sqrt.f64 2)) (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -27 (pow.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) 3) (pow.f64 2 3/2)) (-.f64 (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) 2) (.f64 -3 (.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -27 (pow.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) 3) (pow.f64 2 3/2)) (+.f64 2 (-.f64 (pow.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) 2) (.f64 -3 (.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) -2) (-.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -27 (pow.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) 3) (pow.f64 2 3/2))) (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) 2) (.f64 -3 (.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (/.f64 (.f64 v v) 2) (pow.f64 (.f64 v -3) 2) -2)) (neg.f64 (-.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (pow.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) 2)) (-.f64 (sqrt.f64 2) (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))) (pow.f64 (pow.f64 (exp.f64 -3) v) (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (sqrt.f64 2)) (+.f64 1 (expm1.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))) (+.f64 1 (expm1.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))))) (exp.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 -3) v) (/.f64 v (sqrt.f64 2))) (+.f64 1 (expm1.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))))) (+.f64 1 (expm1.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 2) (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (.f64 (pow.f64 2 -1/2) (.f64 v -3)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 v -3) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) 1 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 v (sqrt.f64 2)) (.f64 v -3) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (.f64 v v) 2)) (.f64 (cbrt.f64 (/.f64 v (sqrt.f64 2))) (.f64 v -3)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 v -3)) 2) (.f64 (cbrt.f64 (.f64 v -3)) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2) (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))) (cbrt.f64 (pow.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))) 2)) (cbrt.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 v (sqrt.f64 2))) (.f64 (sqrt.f64 (/.f64 v (sqrt.f64 2))) (.f64 v -3)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 v -3)) (.f64 (sqrt.f64 (.f64 v -3)) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))) (sqrt.f64 (.f64 v (.f64 -3 (/.f64 v (sqrt.f64 2))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 v (.f64 v -3)) (pow.f64 2 -1/2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) -3 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 v -3) 1) (/.f64 v (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 v -3) (cbrt.f64 2)) (/.f64 v (cbrt.f64 (sqrt.f64 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 v -3) (pow.f64 2 1/4)) (/.f64 v (pow.f64 2 1/4)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 v -3) (cbrt.f64 (/.f64 (.f64 v v) 2))) (cbrt.f64 (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 v -3) (sqrt.f64 (/.f64 v (sqrt.f64 2)))) (sqrt.f64 (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 v (sqrt.f64 2)) -3) v (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 v (sqrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 v -3)) 2)) (cbrt.f64 (.f64 v -3)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 v (sqrt.f64 2)) (sqrt.f64 (.f64 v -3))) (sqrt.f64 (*.f64 v -3)) (sqrt.f64 2))))))

simplify177.0ms (3%)

Algorithm

1×	egg-herbie

Rules

866×	`times-frac_binary64`
728×	`associate-l_binary64`
515×	`associate-/r*_binary64`
470×	`associate-/l*_binary64`
395×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1653
1	328	1519
2	1531	1478

Stop Event

1×	node limit

Counts

180 → 164

Calls

Call 1

Inputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4 (/.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (PI.f64) 2))))) (pow.f64 v 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2)))))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64)))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (pow.f64 (PI.f64) 2))) (.f64 -1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))))) (PI.f64)))) (pow.f64 v 10))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64)))))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64)))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (pow.f64 (PI.f64) 2))) (.f64 -1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))))) (PI.f64)))) (pow.f64 v 10))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64)))))))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))

Outputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -4/3 (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 2) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (*.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 v (.f64 v (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 (PI.f64) 2))))
(fma.f64 -2/3 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 v v))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1 (.f64 (pow.f64 v 4) (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (+.f64 (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -4/3 (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 2) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (*.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -2/3 (/.f64 (.f64 v (.f64 v (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 v 4)) (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 2) 2)))) (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64)))))
(-.f64 (fma.f64 -2/3 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 v v))) (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (pow.f64 v 4) (fma.f64 (/.f64 -2/3 (sqrt.f64 2)) (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (pow.f64 (PI.f64) 3)) (/.f64 2 (.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4 (/.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (PI.f64) 2))))) (pow.f64 v 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -4/3 (/.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 2)))))))
(fma.f64 -1 (.f64 (fma.f64 -1 (.f64 (/.f64 (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (sqrt.f64 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (PI.f64))) (.f64 -4 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 v 6)) (fma.f64 -1 (.f64 (pow.f64 v 4) (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (+.f64 (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -4/3 (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 2) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (PI.f64) 2)))))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (.f64 v (.f64 v (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 v 4)) (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 2) 2)))) (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (-.f64 (.f64 -1 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2))) (/.f64 (fma.f64 -4/3 (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3))) (/.f64 4 (.f64 (PI.f64) (.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (PI.f64))))) (pow.f64 v 6)))
(-.f64 (fma.f64 -2/3 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 v v))) (/.f64 4/3 (.f64 (sqrt.f64 2) (PI.f64)))) (fma.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (sqrt.f64 2)) (/.f64 (fma.f64 (/.f64 -2/3 (sqrt.f64 2)) (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (pow.f64 (PI.f64) 3)) (/.f64 2 (.f64 (sqrt.f64 2) (PI.f64)))) (PI.f64)))) (pow.f64 v 6) (.f64 (pow.f64 v 4) (fma.f64 (/.f64 -2/3 (sqrt.f64 2)) (/.f64 (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2) (pow.f64 (PI.f64) 3)) (/.f64 2 (*.f64 (sqrt.f64 2) (PI.f64)))))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4))))
(*.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64)))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4)))))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6))))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (.f64 (/.f64 -8/27 (pow.f64 (PI.f64) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 v 6))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8)) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4))))))
(+.f64 (fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)))) (/.f64 (neg.f64 (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (*.f64 8/27 (sqrt.f64 2)) (PI.f64)))) (pow.f64 v 8)))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (fma.f64 (/.f64 -8/27 (pow.f64 v 6)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2)) (/.f64 (neg.f64 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (*.f64 (sqrt.f64 2) 8/27) (PI.f64)))) (pow.f64 v 8))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (pow.f64 (PI.f64) 2))) (.f64 -1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))))) (PI.f64)))) (pow.f64 v 10))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64)))))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (sqrt.f64 2) 4)) (pow.f64 (PI.f64) 2)) (.f64 -1/3 (/.f64 (sqrt.f64 2) (/.f64 (PI.f64) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))))) (pow.f64 v 10)) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8)) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))))))
(+.f64 (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6))) (-.f64 (-.f64 (.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4))) (/.f64 (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 8/27 (sqrt.f64 2)) (PI.f64))) (pow.f64 v 8))) (/.f64 (fma.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 8/27 (sqrt.f64 2)) (PI.f64))))) (/.f64 (.f64 -16/81 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (pow.f64 (PI.f64) 2))) (pow.f64 v 10))))
(-.f64 (fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (fma.f64 (/.f64 -8/27 (pow.f64 v 6)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2)) (/.f64 (neg.f64 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 (sqrt.f64 2) 8/27) (PI.f64)))) (pow.f64 v 8)))) (/.f64 (fma.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 (sqrt.f64 2) 8/27) (PI.f64))))) (.f64 (/.f64 -16/81 (pow.f64 (PI.f64) 2)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 v 10)))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64))))
(.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4))))
(*.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (PI.f64)))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4)))))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6))))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (.f64 (/.f64 -8/27 (pow.f64 (PI.f64) 2)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 v 6))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8)) (.f64 4/9 (/.f64 (sqrt.f64 2) (.f64 (PI.f64) (pow.f64 v 4))))))
(+.f64 (fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)))) (/.f64 (neg.f64 (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (*.f64 8/27 (sqrt.f64 2)) (PI.f64)))) (pow.f64 v 8)))
(fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (fma.f64 (/.f64 -8/27 (pow.f64 v 6)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2)) (/.f64 (neg.f64 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (*.f64 (sqrt.f64 2) 8/27) (PI.f64)))) (pow.f64 v 8))))
(+.f64 (.f64 -4/27 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))))) (pow.f64 (PI.f64) 2))) (.f64 -1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))))) (PI.f64)))) (pow.f64 v 10))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/81 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64)))) 2)) (pow.f64 (PI.f64) 3))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8))) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64)))))))
(fma.f64 -4/27 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (pow.f64 (sqrt.f64 2) 4)) (pow.f64 (PI.f64) 2)) (.f64 -1/3 (/.f64 (sqrt.f64 2) (/.f64 (PI.f64) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64))))))))) (pow.f64 v 10)) (fma.f64 -1 (/.f64 (fma.f64 -4/81 (/.f64 (pow.f64 (sqrt.f64 2) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (neg.f64 (.f64 (sqrt.f64 2) (PI.f64)))) 2))) (.f64 4/27 (/.f64 (pow.f64 (sqrt.f64 2) 3) (PI.f64)))) (pow.f64 v 8)) (.f64 4/9 (/.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))))))
(+.f64 (/.f64 (.f64 -8/27 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 v 6))) (-.f64 (-.f64 (.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4))) (/.f64 (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 8/27 (sqrt.f64 2)) (PI.f64))) (pow.f64 v 8))) (/.f64 (fma.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (fma.f64 -4/81 (.f64 (/.f64 (.f64 (sqrt.f64 2) 2) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 8/27 (sqrt.f64 2)) (PI.f64))))) (/.f64 (.f64 -16/81 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))) (pow.f64 (PI.f64) 2))) (pow.f64 v 10))))
(-.f64 (fma.f64 4/9 (/.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (pow.f64 v 4)) (fma.f64 (/.f64 -8/27 (pow.f64 v 6)) (/.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (pow.f64 (PI.f64) 2)) (/.f64 (neg.f64 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 (sqrt.f64 2) 8/27) (PI.f64)))) (pow.f64 v 8)))) (/.f64 (fma.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) -8/81) (pow.f64 (PI.f64) 3)) (pow.f64 (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) 2)) (/.f64 (.f64 (sqrt.f64 2) 8/27) (PI.f64))))) (.f64 (/.f64 -16/81 (pow.f64 (PI.f64) 2)) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))))) (pow.f64 v 10)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(+.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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))
(*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))
(.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))
(/.f64 -3 (/.f64 (sqrt.f64 2) (*.f64 v v)))
(+.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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))

eval419.0ms (7.2%)

Compiler: Compiled 14131 to 10811 computations (23.5% saved)

prune163.0ms (2.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	546	3	549
Fresh	0	0	0
Picked	0	1	1
Done	5	3	8
Total	551	7	558

Error

Counts

558 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	0.0b	(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 -6 (*.f64 v v)) 2))))
✓	1.2b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (+.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))
✓	1.4b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
▶	0.4b	(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))))
✓	0.4b	(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
▶	1.4b	(/.f64 (/.f64 (.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (.f64 v v)))

Compiler

Compiled 108 to 91 computations (15.7% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2)))
✓	0.0b	(sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))
	0.1b	(.f64 v (.f64 v -6))
✓	1.0b	(/.f64 4/3 (PI.f64))

Compiler

Compiled 59 to 44 computations (25.4% saved)

series3.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

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

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
361×	`pow-prod-down_binary64`
334×	`pow2_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	269	32
2	3438	32

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))))) (#(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 (pow.f64 (PI.f64) -1))))) (#(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 (pow.f64 (neg.f64 (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1) 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 (/.f64 16/9 (pow.f64 (PI.f64) 2)) 1/2)))) (#(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 pow.f64 (/.f64 (*.f64 (PI.f64) 3/4) 1) -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 log1p.f64 (expm1.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 +.f64 0 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6) (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)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6))))) (#(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 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 v v) 2) 36 -4)) (sqrt.f64 (fma.f64 v (*.f64 v -6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 v 6) -216 8)) (hypot.f64 (*.f64 v (*.f64 v -6)) (sqrt.f64 (-.f64 4 (*.f64 (*.f64 v v) -12)))))))) (#(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 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)) 3/2)))) (#(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 log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (pow.f64 (PI.f64) -1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.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 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)) (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)) (fma.f64 v (*.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (sqrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (PI.f64)) (/.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 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 1) (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (pow.f64 (PI.f64) -1) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (cbrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) (/.f64 (pow.f64 (PI.f64) -1) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/4) (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)) (fma.f64 v (*.f64 v -6) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) 3/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) 3/4) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) 3/4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)) (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1))))))

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Rules

499×	`associate-/r*_binary64`
407×	`fma-def_binary64`
384×	`times-frac_binary64`
311×	`associate-/l*_binary64`
273×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	923
1	405	870
2	1344	811
3	5614	805

Stop Event

1×	node limit

Counts

125 → 147

Calls

Call 1

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

Outputs
(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 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (/.f64 v (/.f64 (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 (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))
(fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (fma.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 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))))))
(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))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2)) (.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)) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (fma.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (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 1 (*.f64 v (sqrt.f64 -6))))
(-.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 1 (.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 -1/2 (.f64 (sqrt.f64 -6) (*.f64 -6 (pow.f64 v 3))))))
(+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (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 (/.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 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.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 (sqrt.f64 -6) (.f64 -6 (pow.f64 v 3)))))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 v (neg.f64 (sqrt.f64 -6)))
(-.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 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 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 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.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))))))
(-.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)))))
(-.f64 (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 1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6))))) (/.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 (*.f64 v v) (sqrt.f64 1/2)) (PI.f64)))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (/.f64 (pow.f64 v 4) (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)))) (/.f64 (/.f64 (.f64 v v) (sqrt.f64 1/2)) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (+.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 -9/16 (sqrt.f64 1/2)) 1/2)) (/.f64 (.f64 (pow.f64 v 4) 2/3) (PI.f64)) (.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4))) (.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (/.f64 (+.f64 27/2 (.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (PI.f64))))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (fma.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64)) (.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (/.f64 (+.f64 27/2 (.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (PI.f64)))) (/.f64 (/.f64 (*.f64 v v) (sqrt.f64 1/2)) (PI.f64))))
(fma.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (/.f64 2/3 (sqrt.f64 1/2)) (+.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 (pow.f64 v 6) (/.f64 135/16 (PI.f64)))))))
(fma.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (/.f64 2/3 (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))) (.f64 (pow.f64 v 6) 135/16)))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) v))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) v) (/.f64 -1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (/.f64 -1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) v) (fma.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 -1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (/.f64 -1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 (fma.f64 -2/3 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/81) (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(+.f64 (/.f64 (fma.f64 -2/3 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/81) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (/.f64 -1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (.f64 -2/3 (+.f64 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)) (PI.f64))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) v) (fma.f64 -2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (/.f64 -1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (/.f64 -1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 (/.f64 -2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))))
(fma.f64 (/.f64 -2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (+.f64 -1/324 (.f64 -1/6 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (/.f64 -1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) -4/3)
(*.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) v) -4/3)
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) v) -4/3 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) -4/3 (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) v) -4/3)))
(+.f64 (/.f64 (fma.f64 2/3 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/81) (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) -4/3 (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(+.f64 (/.f64 (fma.f64 2/3 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/81) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) -4/3 (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (.f64 2/3 (+.f64 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)) (PI.f64))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (*.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) v) -4/3)))
(+.f64 (.f64 (/.f64 2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))) (fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) -4/3 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6))))))
(+.f64 (.f64 (/.f64 2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (+.f64 -1/324 (.f64 -1/6 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))) (fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) -4/3 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6))))))

localize53.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 -6 (*.f64 v v)) 2)))
	0.0b	(*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))
✓	0.1b	(.f64 -6 (.f64 v v))
	1.0b	(/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))

Compiler

Compiled 92 to 54 computations (41.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`
243×	`prod-diff_binary64`
220×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	347	31
2	4439	31

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -6 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -6) (*.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 -6) (*.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -6 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -6 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -6 (*.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -216 (pow.f64 (*.f64 v v) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -6 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -216 (pow.f64 (*.f64 v v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -6 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -6 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log1p.f64 -7)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log1p.f64 -7)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))) (cbrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (/.f64 (/.f64 1 (fma.f64 v v 1)) (PI.f64)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (*.f64 (/.f64 (/.f64 1 (fma.f64 v v 1)) (PI.f64)) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2)) (*.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2) (fma.f64 -6 (*.f64 v v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2) (fma.f64 -6 (*.f64 v v) 2))) (cbrt.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (*.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 1/4)) (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v 1))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -6 (*.f64 v v) 2) -1/2) (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) 1) (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (cbrt.f64 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (/.f64 (/.f64 1 (fma.f64 v v 1)) (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2)) (cbrt.f64 (fma.f64 -6 (*.f64 v v) 2))) (cbrt.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (cbrt.f64 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (cbrt.f64 (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 1/4)) (/.f64 (/.f64 (/.f64 1 (fma.f64 v v 1)) (PI.f64)) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 1/4)) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2)) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 1/4)) (/.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1))) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (hypot.f64 1 v)) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)) (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) 3/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) (neg.f64 (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 2) (fma.f64 -6 (*.f64 v v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (fma.f64 v v 1)) 3) (pow.f64 (fma.f64 -6 (*.f64 v v) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4/3 (*.f64 (*.f64 (PI.f64) (fma.f64 v v 1)) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))) 1))))))

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

585×	`distribute-rgt-out_binary64`
497×	`fma-def_binary64`
380×	`associate-l_binary64`
356×	`associate-r_binary64`
237×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1115
1	337	1070
2	1241	984
3	6132	983

Stop Event

1×	node limit

Counts

81 → 82

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

0.0ms

-inf

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

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`log-prod_binary64`
325×	`pow2_binary64`
224×	`pow1/3_binary64`
220×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	262	23
2	3528	23

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (*.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 4/3 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 8/9) (*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 8/9)) (*.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 8/9) 8/9) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 (sqrt.f64 8/9) 8/9) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))) (cbrt.f64 (/.f64 8/9 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 1 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 1 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (-.f64 1 (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (-.f64 1 (*.f64 v v))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (-.f64 1 (*.f64 v v))) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) 1) (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) -2) (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (cbrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (sqrt.f64 (-.f64 1 (*.f64 v v)))) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 v v)) -1/2) (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (sqrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (sqrt.f64 (-.f64 1 (*.f64 v v)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/9 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (sqrt.f64 8/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) (-.f64 1 (*.f64 v v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 8/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (sqrt.f64 8/9))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 8/9 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))) 1))))))

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-def_binary64`
731×	`times-frac_binary64`
668×	`associate-/r*_binary64`
503×	`associate-l_binary64`
486×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	447
1	146	440
2	421	376
3	1332	327
4	7510	327

Stop Event

1×	node limit

Counts

113 → 115

Calls

Call 1

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

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

eval324.0ms (5.5%)

Compiler: Compiled 9966 to 7665 computations (23.1% saved)

prune48.0ms (0.8%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	435	0	435
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	435	7	442

Error

Counts

442 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	0.0b	(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 -6 (*.f64 v v)) 2))))
✓	1.2b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (+.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))
✓	1.4b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
✓	0.4b	(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))))
✓	0.4b	(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
✓	1.4b	(/.f64 (/.f64 (.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (.f64 v v)))

Compiler

Compiled 108 to 91 computations (15.7% saved)

regimes33.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (.f64 v v)))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 (/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 4)
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 -6 (*.f64 v v)) 2))))
(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 v (*.f64 v -6)) 2))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (+.f64 (.f64 (.f64 -3 v) (/.f64 v (sqrt.f64 2))) (sqrt.f64 2))))
(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))))

Outputs
(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 -6 (*.f64 v v)) 2))))

Calls

7 calls:

8.0ms	v
6.0ms	(*.f64 v v)
3.0ms	(*.f64 v v)
3.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
3.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))

Results

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

Compiler

Compiled 318 to 230 computations (27.7% saved)

regimes23.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (.f64 v v)))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
(.f64 (/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 4)
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Outputs
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))))

Calls

7 calls:

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

Results

Error	Segments	Branch
0.4b	1	`v`
0.4b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0.4b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0.4b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0.4b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0.4b	1	`(*.f64 v v)`
0.4b	1	`(*.f64 v v)`

Compiler

Compiled 198 to 146 computations (26.3% saved)

regimes8.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))

Calls

2 calls:

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

Results

Error	Segments	Branch
0.4b	1	`v`
0.4b	1	`(*.f64 v v)`

Compiler

Compiled 51 to 39 computations (23.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total -1.0b remaining (-252.1%)

Threshold costs -1.0b (-252.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
0.4b	1	`v`
0.4b	1	`(*.f64 v v)`

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`+-lft-identity_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	77
1	53	77
2	59	77
3	62	77
4	63	77

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 -6 (*.f64 v v)) 2))))
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))

Outputs
(+.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 -6 (*.f64 v v)) 2))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (+.f64 (.f64 -6 (*.f64 v v)) 2)))
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2)))

Compiler

Compiled 53 to 45 computations (15.1% saved)

soundness60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

585×	`distribute-rgt-out_binary64`
497×	`fma-def_binary64`
380×	`associate-l_binary64`
356×	`associate-r_binary64`
237×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1115
1	337	1070
2	1241	984
3	6132	983

Stop Event

1×	node limit

Compiler

Compiled 12 to 9 computations (25% saved)

end37.0ms (0.6%)

Compiler: Compiled 50 to 38 computations (24% saved)

Details

analyze6.0ms (0.1%)

sample1.5s (25.1%)

preprocess57.0ms (1%)

simplify50.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize27.0ms (0.5%)

series38.0ms (0.6%)

rewrite64.0ms (1.1%)

simplify95.0ms (1.6%)

localize27.0ms (0.5%)

series10.0ms (0.2%)

rewrite74.0ms (1.3%)

simplify60.0ms (1%)

eval292.0ms (5%)

prune41.0ms (0.7%)

localize31.0ms (0.5%)

series8.0ms (0.1%)

rewrite70.0ms (1.2%)

simplify72.0ms (1.2%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite71.0ms (1.2%)

simplify6.0ms (0.1%)

localize39.0ms (0.7%)

localize20.0ms (0.3%)

series5.0ms (0.1%)

rewrite64.0ms (1.1%)

simplify66.0ms (1.1%)

localize69.0ms (1.2%)

series10.0ms (0.2%)

rewrite173.0ms (3%)

simplify47.0ms (0.8%)

eval272.0ms (4.7%)

prune77.0ms (1.3%)

localize41.0ms (0.7%)

series3.0ms (0%)

rewrite65.0ms (1.1%)

simplify64.0ms (1.1%)

localize8.0ms (0.1%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

rewrite70.0ms (1.2%)

simplify62.0ms (1.1%)

localize25.0ms (0.4%)

series2.0ms (0%)

rewrite62.0ms (1.1%)

simplify59.0ms (1%)

localize37.0ms (0.6%)

series5.0ms (0.1%)

rewrite112.0ms (1.9%)

simplify177.0ms (3%)

eval419.0ms (7.2%)

prune163.0ms (2.8%)

localize23.0ms (0.4%)

series3.0ms (0.1%)

rewrite64.0ms (1.1%)

simplify56.0ms (1%)

localize53.0ms (0.9%)

series2.0ms (0%)

rewrite63.0ms (1.1%)

simplify90.0ms (1.5%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite58.0ms (1%)

simplify44.0ms (0.8%)

eval324.0ms (5.5%)

prune48.0ms (0.8%)

regimes33.0ms (0.6%)

regimes23.0ms (0.4%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify5.0ms (0.1%)

soundness60.0ms (1%)

end37.0ms (0.6%)

Profiling