Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
62.5%	31.2%	18.7%	50%	0%	0%	0%	4
81.3%	40.6%	9.4%	50%	0%	0%	0%	5
90.6%	45.3%	4.7%	50%	0%	0%	0%	6
95.3%	47.6%	2.3%	50%	0%	0%	0%	7
97.7%	48.8%	1.2%	50%	0%	0%	0%	8
98.8%	49.4%	0.6%	50%	0%	0%	0%	9
99.4%	49.7%	0.3%	50%	0%	0%	0%	10
99.7%	49.8%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0.1%	50%	0%	0%	0%	12

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.5s (49.4%)

Results

1.5s

8256×

body

256

valid

Bogosity

preprocess58.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

1442×	`associate-/r*`
1090×	`distribute-lft-in`
1084×	`distribute-rgt-in`
834×	`associate-/r/`
810×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	43	51
2	190	33
3	1291	25
4	4152	25
5	6931	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
(.f64 (/.f64 i (fma.f64 (.f64 i 4) i -1)) (/.f64 (pow.f64 i 3) (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (.f64 i i) (fma.f64 i (*.f64 i 4) -1)))
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify57.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-/r*`
1090×	`distribute-lft-in`
1084×	`distribute-rgt-in`
834×	`associate-/r/`
810×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	43	51
2	190	33
3	1291	25
4	4152	25
5	6931	25

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
(.f64 (/.f64 i (fma.f64 (.f64 i 4) i -1)) (/.f64 (pow.f64 i 3) (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (.f64 i i) (fma.f64 i (*.f64 i 4) -1)))
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

eval2.0ms (0.1%)

Compiler: Compiled 95 to 57 computations (40% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Accurracy

100.0%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
▶	99.8%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

Compiler

Compiled 32 to 19 computations (40.6% saved)

localize10.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 1 (*.f64 i i))
✓	99.7%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	i	@	0	(/.f64 1 (*.f64 i i))
0.0ms	i	@	0	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.0ms	i	@	inf	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.0ms	i	@	-inf	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.0ms	i	@	inf	(/.f64 1 (*.f64 i i))

rewrite74.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`associate-*r/`
846×	`associate-*l/`
806×	`*-commutative`
768×	`associate-/r*`
472×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	222	26
2	2745	26

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(/.f64 1 (*.f64 i i))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) 4) (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (pow.f64 i -2)) (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) 16) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 (/.f64 1 (pow.f64 i 4)) 16)) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (/.f64 4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (.f64 (pow.f64 i -2) (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 i -2) (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (.f64 4 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 i 4)) 16) (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (.f64 (/.f64 4 (.f64 i i)) (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 1 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (cbrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 4 (pow.f64 i -2)) (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 4 (pow.f64 i -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (/.f64 -1 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1/4 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (+.f64 1 (.f64 1/4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 4 (.f64 1/4 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 4 (pow.f64 i -2))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (neg.f64 (+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (neg.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (+.f64 -16 (neg.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3))) (+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -4 (.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/4 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/4 (neg.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 16 (/.f64 -4 (.f64 i i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 i -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 i -2)) (/.f64 1 (cbrt.f64 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (cbrt.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 i) (neg.f64 (/.f64 -1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 i -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (neg.f64 (pow.f64 i -2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (neg.f64 (pow.f64 i -2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4)))) (neg.f64 (cbrt.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 i) (/.f64 -1 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 i 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 i 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2)))) (sqrt.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (neg.f64 (pow.f64 i -2))))) (cbrt.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))))) (cbrt.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 -1 i)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 i -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 i i) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 i -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 i -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 i i) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 i i) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 i -2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) 4) (*.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (pow.f64 i -2)) (*.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))) 16) (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))) (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))) (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))) (+.f64 (/.f64 1 (pow.f64 i 4)) 16)) (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))) (/.f64 4 (*.f64 i 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(pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))

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

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1108×	`distribute-lft-in`
956×	`*-commutative`
956×	`distribute-rgt-in`
912×	`associate-*r/`
660×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	3215
1	634	2785
2	2192	2719

Stop Event

1×	node limit

Counts

107 → 138

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(+.f64 (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) 4) (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (pow.f64 i -2)))
(+.f64 (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (pow.f64 i -2)) (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) 4))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) 16) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))) 16))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 (/.f64 1 (pow.f64 i 4)) 16)) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (/.f64 4 (*.f64 i i))))
(+.f64 (.f64 4 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (.f64 (pow.f64 i -2) (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(+.f64 (.f64 (pow.f64 i -2) (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (.f64 4 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(+.f64 (.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3)))))
(+.f64 (.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3)))))
(+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 i 4)) 16) (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (.f64 (/.f64 4 (.f64 i i)) (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1)
(*.f64 1/4 (/.f64 1 (-.f64 4 (pow.f64 i -2))))
(*.f64 1 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))
(*.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (cbrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (+.f64 4 (pow.f64 i -2)) (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 i -2))) 1/4)
(.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))))
(*.f64 -1/4 (/.f64 -1 (-.f64 4 (pow.f64 i -2))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1/4 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(.f64 (/.f64 1 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (+.f64 1 (.f64 1/4 (pow.f64 i -2))))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 4 (.f64 1/4 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(*.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 -1 (-.f64 4 (pow.f64 i -2))) -1/4)
(*.f64 (/.f64 1/4 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 1/4 (neg.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (+.f64 -16 (neg.f64 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(.f64 (/.f64 1/4 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3))) (+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -4 (.f64 i i)))))
(*.f64 (/.f64 -1/4 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))
(.f64 (/.f64 -1/4 (neg.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (sqrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(*.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (cbrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)
(pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3)
(pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/3)
(pow.f64 (+.f64 16 (/.f64 -4 (*.f64 i i))) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))
(log.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))
(cbrt.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(exp.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 i -2))) 1)
(*.f64 1 (pow.f64 i -2))
(*.f64 (pow.f64 i -2) 1)
(*.f64 (cbrt.f64 (pow.f64 i -2)) (/.f64 1 (cbrt.f64 (pow.f64 i 4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (cbrt.f64 (pow.f64 i -2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 i -2)))))
(*.f64 (/.f64 1 i) (/.f64 1 i))
(*.f64 (/.f64 1 i) (neg.f64 (/.f64 -1 i)))
(*.f64 (neg.f64 (pow.f64 i -2)) -1)
(*.f64 -1 (neg.f64 (pow.f64 i -2)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2)))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (neg.f64 (pow.f64 i -2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))))
(*.f64 (neg.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4)))) (neg.f64 (cbrt.f64 (pow.f64 i -2))))
(*.f64 (/.f64 -1 i) (/.f64 -1 i))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 i 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 i 4)) -1))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2)))) (sqrt.f64 (neg.f64 (pow.f64 i -2))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (neg.f64 (pow.f64 i -2))))) (cbrt.f64 (neg.f64 (pow.f64 i -2))))
(*.f64 (neg.f64 (neg.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))))) (cbrt.f64 (pow.f64 i -2)))
(*.f64 (neg.f64 (/.f64 -1 i)) (/.f64 1 i))
(pow.f64 i -2)
(pow.f64 (*.f64 i i) -1)
(pow.f64 (pow.f64 i -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 i -2)) 3)
(pow.f64 (/.f64 1 i) 2)
(pow.f64 (pow.f64 (*.f64 i i) -3) 1/3)
(neg.f64 (neg.f64 (pow.f64 i -2)))
(sqrt.f64 (/.f64 1 (pow.f64 i 4)))
(log.f64 (exp.f64 (pow.f64 i -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 i -2))))
(cbrt.f64 (pow.f64 (*.f64 i i) -3))
(expm1.f64 (log1p.f64 (pow.f64 i -2)))
(exp.f64 (*.f64 -2 (log.f64 i)))
(log1p.f64 (expm1.f64 (pow.f64 i -2)))

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(.f64 -1/4 (.f64 i i))
(.f64 i (.f64 i -1/4))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(fma.f64 -1 (pow.f64 i 4) (.f64 -1/4 (.f64 i i)))
(-.f64 (.f64 i (.f64 i -1/4)) (pow.f64 i 4))
(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))))
(-.f64 (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4)))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(fma.f64 1/64 (pow.f64 i -2) 1/16)
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (fma.f64 1/64 (pow.f64 i -2) 1/16) (/.f64 1/256 (pow.f64 i 4)))
(fma.f64 1/256 (pow.f64 i -4) (fma.f64 1/64 (pow.f64 i -2) 1/16))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (fma.f64 1/64 (pow.f64 i -2) (/.f64 1/1024 (pow.f64 i 6))) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (fma.f64 1/256 (pow.f64 i -4) (fma.f64 1/64 (pow.f64 i -2) 1/16)) (/.f64 1/1024 (pow.f64 i 6)))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(fma.f64 1/64 (pow.f64 i -2) 1/16)
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (fma.f64 1/64 (pow.f64 i -2) 1/16) (/.f64 1/256 (pow.f64 i 4)))
(fma.f64 1/256 (pow.f64 i -4) (fma.f64 1/64 (pow.f64 i -2) 1/16))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (fma.f64 1/64 (pow.f64 i -2) (/.f64 1/1024 (pow.f64 i 6))) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (fma.f64 1/256 (pow.f64 i -4) (fma.f64 1/64 (pow.f64 i -2) 1/16)) (/.f64 1/1024 (pow.f64 i 6)))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(+.f64 (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) 4) (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (pow.f64 i -2)))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (neg.f64 (pow.f64 i -4))))
(+.f64 (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (pow.f64 i -2)) (.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) 4))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (neg.f64 (pow.f64 i -4))))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) 16) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))) 16))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 (/.f64 1 (pow.f64 i 4)) 16)) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (/.f64 4 (*.f64 i i))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(+.f64 (.f64 4 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (.f64 (pow.f64 i -2) (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (neg.f64 (pow.f64 i -4))))
(+.f64 (.f64 (pow.f64 i -2) (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (.f64 4 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (neg.f64 (pow.f64 i -4))))
(+.f64 (.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3)))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(+.f64 (.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3)))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(+.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 i 4)) 16) (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (.f64 (/.f64 4 (.f64 i i)) (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3)))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 1/4 (/.f64 1 (-.f64 4 (pow.f64 i -2))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 1 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)
(*.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (cbrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (cbrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))
(*.f64 (+.f64 4 (pow.f64 i -2)) (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (neg.f64 (pow.f64 i -4))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 i -2))) 1/4)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (-.f64 64 (pow.f64 (*.f64 i i) -3))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(*.f64 -1/4 (/.f64 -1 (-.f64 4 (pow.f64 i -2))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1/4 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(/.f64 (/.f64 1/4 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(/.f64 1/4 (*.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(.f64 (/.f64 1 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (+.f64 1 (.f64 1/4 (pow.f64 i -2))))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (neg.f64 (pow.f64 i -4))))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 4 (.f64 1/4 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(*.f64 (/.f64 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (neg.f64 (pow.f64 i -4))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(*.f64 (/.f64 -1 (-.f64 4 (pow.f64 i -2))) -1/4)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(*.f64 (/.f64 1/4 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (+.f64 -4 (neg.f64 (pow.f64 i -2))))
(/.f64 -1/4 (/.f64 (+.f64 -16 (/.f64 1 (pow.f64 i 4))) (+.f64 4 (pow.f64 i -2))))
(/.f64 -1/4 (/.f64 (+.f64 -16 (pow.f64 i -4)) (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 1/4 (neg.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (+.f64 -16 (neg.f64 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(.f64 (/.f64 1/4 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3))) (+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -4 (.f64 i i)))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (pow.f64 i -2) 3))) (+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 16 (/.f64 (/.f64 4 i) i))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (/.f64 1 (pow.f64 i 6))))
(*.f64 (/.f64 -1/4 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (+.f64 -4 (neg.f64 (pow.f64 i -2))))
(/.f64 -1/4 (/.f64 (+.f64 -16 (/.f64 1 (pow.f64 i 4))) (+.f64 4 (pow.f64 i -2))))
(/.f64 -1/4 (/.f64 (+.f64 -16 (pow.f64 i -4)) (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 -1/4 (neg.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(*.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (*.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))))
(.f64 (/.f64 1/4 (.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (+.f64 16 (neg.f64 (pow.f64 i -4)))))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (sqrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (sqrt.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)))))
(.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (sqrt.f64 (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16)))
(*.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 1/4 (cbrt.f64 (+.f64 4 (pow.f64 i -2)))) (.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (+.f64 16 (neg.f64 (pow.f64 i -4))))))
(.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (cbrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(.f64 (/.f64 1/4 (.f64 (cbrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(.f64 (/.f64 1/4 (.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3))))) (cbrt.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)))))
(.f64 (/.f64 1/4 (.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3))))) (cbrt.f64 (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16)))
(pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/3)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(pow.f64 (+.f64 16 (/.f64 -4 (*.f64 i i))) -1)
(/.f64 1 (+.f64 16 (/.f64 -4 (*.f64 i i))))
(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))
(/.f64 1 (+.f64 16 (*.f64 -4 (pow.f64 i -2))))
(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))
(log.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(cbrt.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(expm1.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(exp.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 i -2))) 1)
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 1 (pow.f64 i -2))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 (pow.f64 i -2) 1)
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 (cbrt.f64 (pow.f64 i -2)) (/.f64 1 (cbrt.f64 (pow.f64 i 4))))
(/.f64 (cbrt.f64 (pow.f64 i -2)) (cbrt.f64 (pow.f64 i 4)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (cbrt.f64 (pow.f64 i -2)))
(*.f64 (cbrt.f64 (pow.f64 i -2)) (/.f64 1 (cbrt.f64 (pow.f64 i 4))))
(/.f64 (cbrt.f64 (pow.f64 i -2)) (cbrt.f64 (pow.f64 i 4)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 i -2)))))
(*.f64 (cbrt.f64 (pow.f64 i -2)) (/.f64 1 (cbrt.f64 (pow.f64 i 4))))
(/.f64 (cbrt.f64 (pow.f64 i -2)) (cbrt.f64 (pow.f64 i 4)))
(*.f64 (/.f64 1 i) (/.f64 1 i))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 (/.f64 1 i) (neg.f64 (/.f64 -1 i)))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 (neg.f64 (pow.f64 i -2)) -1)
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 -1 (neg.f64 (pow.f64 i -2)))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2)))))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (neg.f64 (pow.f64 i -2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 (neg.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4)))) (neg.f64 (cbrt.f64 (pow.f64 i -2))))
(*.f64 (cbrt.f64 (pow.f64 i -2)) (/.f64 1 (cbrt.f64 (pow.f64 i 4))))
(/.f64 (cbrt.f64 (pow.f64 i -2)) (cbrt.f64 (pow.f64 i 4)))
(*.f64 (/.f64 -1 i) (/.f64 -1 i))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 i 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (/.f64 1 (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (pow.f64 i 4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 i 4)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (/.f64 1 (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (pow.f64 i 4)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 i -2)))) (sqrt.f64 (neg.f64 (pow.f64 i -2))))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (neg.f64 (pow.f64 i -2))))) (cbrt.f64 (neg.f64 (pow.f64 i -2))))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(*.f64 (neg.f64 (neg.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))))) (cbrt.f64 (pow.f64 i -2)))
(*.f64 (cbrt.f64 (pow.f64 i -2)) (/.f64 1 (cbrt.f64 (pow.f64 i 4))))
(/.f64 (cbrt.f64 (pow.f64 i -2)) (cbrt.f64 (pow.f64 i 4)))
(*.f64 (neg.f64 (/.f64 -1 i)) (/.f64 1 i))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(pow.f64 i -2)
(/.f64 1 (*.f64 i i))
(pow.f64 (*.f64 i i) -1)
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(pow.f64 (pow.f64 i -2) 1)
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(pow.f64 (cbrt.f64 (pow.f64 i -2)) 3)
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(pow.f64 (/.f64 1 i) 2)
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(pow.f64 (pow.f64 (*.f64 i i) -3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 i i) -3))
(neg.f64 (neg.f64 (pow.f64 i -2)))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(sqrt.f64 (/.f64 1 (pow.f64 i 4)))
(sqrt.f64 (pow.f64 i -4))
(log.f64 (exp.f64 (pow.f64 i -2)))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 i -2))))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(cbrt.f64 (pow.f64 (*.f64 i i) -3))
(expm1.f64 (log1p.f64 (pow.f64 i -2)))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(exp.f64 (*.f64 -2 (log.f64 i)))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)
(log1p.f64 (expm1.f64 (pow.f64 i -2)))
(/.f64 1 (*.f64 i i))
(pow.f64 i -2)

localize17.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 4 (.f64 i i))
✓	77.7%	(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
✓	54.8%	(/.f64 (.f64 4 (.f64 i i)) (*.f64 i i))

Compiler

Compiled 62 to 26 computations (58.1% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	i	@	inf	(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
0.0ms	i	@	inf	(.f64 4 (.f64 i i))
0.0ms	i	@	0	(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
0.0ms	i	@	0	(.f64 4 (.f64 i i))
0.0ms	i	@	-inf	(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))

rewrite85.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`associate-/r/`
1630×	`associate-/l/`
426×	`distribute-lft-in`
344×	`times-frac`
260×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	95
1	262	47
2	4480	47

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs
(/.f64 (.f64 4 (.f64 i i)) (*.f64 i i))
(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
(.f64 4 (.f64 i i))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 4)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 i (.f64 1/4 i)) (+.f64 -1 (.f64 (pow.f64 i 4) 16))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (.f64 i (.f64 1/4 i)) (+.f64 -1 (.f64 (pow.f64 i 4) 16))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (.f64 (pow.f64 i 4) 16)) (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (fma.f64 (.f64 i i) 4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (fma.f64 (.f64 i i) 4 1)) (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (.f64 (pow.f64 i 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i i) (.f64 1/4 (/.f64 1 (fma.f64 (.f64 i i) 4 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i i) (/.f64 1 (.f64 4 (fma.f64 (.f64 i i) 4 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 1/4 i)) (/.f64 1 (fma.f64 (.f64 i i) 4 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 1/4 i)) (/.f64 (fma.f64 (.f64 i i) 4 1) (+.f64 -1 (.f64 (pow.f64 i 4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 1/4 i)) (/.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1)) (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 (.f64 i i) 4 -1)))) (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 (.f64 i i) 4 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i 1/2) (.f64 (.f64 i 1/2) (/.f64 1 (fma.f64 (.f64 i i) 4 -1))))))) 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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 i i) 4 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 i 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (*.f64 i 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 i i) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 i 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i (*.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 i i) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (*.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 i 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (*.f64 i 4))))))))

simplify110.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-r`
750×	`unswap-sqr`
738×	`associate-l`
708×	`*-commutative`
654×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	6024
1	1209	5744
2	6073	5740

Stop Event

1×	node limit

Counts

156 → 211

Calls

Call 1

Inputs
4
4
4
4
4
4
4
4
4
4
4
4
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
(*.f64 4 (pow.f64 i 2))
4
(+.f64 (.f64 (/.f64 (.f64 i (.f64 1/4 i)) (+.f64 -1 (.f64 (pow.f64 i 4) 16))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (.f64 i (.f64 1/4 i)) (+.f64 -1 (.f64 (pow.f64 i 4) 16))) 1))
(+.f64 (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (.f64 (pow.f64 i 4) 16)) (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (fma.f64 (.f64 i i) 4 1)))
(+.f64 (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (fma.f64 (.f64 i i) 4 1)) (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (.f64 (pow.f64 i 4) 16)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))))) 1)
(.f64 (.f64 i i) (.f64 1/4 (/.f64 1 (fma.f64 (.f64 i i) 4 -1))))
(.f64 (.f64 i i) (/.f64 1 (.f64 4 (fma.f64 (.f64 i i) 4 -1))))
(.f64 (.f64 i (.f64 1/4 i)) (/.f64 1 (fma.f64 (.f64 i i) 4 -1)))
(.f64 (.f64 i (.f64 1/4 i)) (/.f64 (fma.f64 (.f64 i i) 4 1) (+.f64 -1 (*.f64 (pow.f64 i 4) 16))))
(.f64 (.f64 i (.f64 1/4 i)) (/.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1)) (+.f64 -1 (.f64 (pow.f64 (*.f64 i i) 3) 64))))
(.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1))) 1)
(.f64 1 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1))))
(.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 (.f64 i i) 4 -1)))) (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 (*.f64 i i) 4 -1)))))
(.f64 (.f64 i 1/2) (.f64 (.f64 i 1/2) (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))))
(.f64 (.f64 i 1/2) (/.f64 i (.f64 (fma.f64 (.f64 i i) 4 -1) 2)))
(.f64 (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1)))) (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1)))) 2) (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 1/16)) (.f64 (cbrt.f64 (.f64 i (.f64 1/4 i))) (/.f64 1 (fma.f64 (.f64 i i) 4 -1))))
(.f64 1/4 (.f64 (.f64 i i) (/.f64 1 (fma.f64 (.f64 i i) 4 -1))))
(.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))
(.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) (.f64 i (.f64 1/4 i)))
(.f64 (.f64 (.f64 i i) -1/4) (/.f64 1 (+.f64 1 (.f64 (*.f64 i i) -4))))
(.f64 (/.f64 (.f64 i i) 1) (/.f64 1/4 (fma.f64 (*.f64 i i) 4 -1)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (/.f64 (.f64 i (.f64 1/4 i)) (sqrt.f64 (fma.f64 (*.f64 i i) 4 -1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2)) (/.f64 i (.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) (/.f64 4 i))))
(.f64 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)) 1/4)
(.f64 (/.f64 1 (+.f64 -1 (.f64 (pow.f64 i 4) 16))) (.f64 (.f64 i (.f64 1/4 i)) (fma.f64 (.f64 i i) 4 1)))
(.f64 (/.f64 1 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64))) (.f64 (.f64 i (.f64 1/4 i)) (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1))))
(.f64 (/.f64 1 (.f64 4 (fma.f64 (.f64 i i) 4 -1))) (.f64 i i))
(.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 i i) -4))) (.f64 (*.f64 i i) -1/4))
(.f64 (/.f64 i (fma.f64 (.f64 i i) 4 -1)) (*.f64 1/4 i))
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) (fma.f64 (.f64 i i) 4 -1)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 4))
(.f64 (/.f64 1/4 (fma.f64 (.f64 i i) 4 -1)) (*.f64 i i))
(.f64 (/.f64 (.f64 i i) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (/.f64 1/4 (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))))
(.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (/.f64 (.f64 i i) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))))
(.f64 (/.f64 (.f64 i i) (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2)) (/.f64 1/4 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1))))
(.f64 (/.f64 i (.f64 (fma.f64 (.f64 i i) 4 -1) 2)) (.f64 i 1/2))
(.f64 (/.f64 (.f64 i 1/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2)) (/.f64 i (.f64 (cbrt.f64 (fma.f64 (*.f64 i i) 4 -1)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 1/16)) 1) (/.f64 (cbrt.f64 (.f64 i (.f64 1/4 i))) (fma.f64 (*.f64 i i) 4 -1)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 1/16)) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (/.f64 (cbrt.f64 (.f64 i (.f64 1/4 i))) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 1/16)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2)) (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1)))))
(.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2)) (/.f64 (.f64 i i) (cbrt.f64 (fma.f64 (.f64 i i) 4 -1))))
(.f64 (/.f64 (.f64 i (.f64 1/4 i)) (neg.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)))) (neg.f64 (fma.f64 (*.f64 i i) 4 1)))
(.f64 (/.f64 (.f64 i (.f64 1/4 i)) (neg.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)))) (neg.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (*.f64 i i) 4 1))))
(.f64 (/.f64 i (.f64 4 (fma.f64 (*.f64 i i) 4 -1))) i)
(.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 (.f64 i i) 4 -1) (.f64 i (.f64 i 4)))) (*.f64 i i))
(.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 (.f64 i i) 4 -1) (*.f64 i 4))) i)
(.f64 (/.f64 (.f64 i i) (.f64 (fma.f64 (.f64 i i) 4 -1) (.f64 (.f64 i i) -4))) (neg.f64 (*.f64 i i)))
(.f64 (/.f64 (.f64 i (.f64 1/4 i)) (+.f64 -1 (.f64 (pow.f64 i 4) 16))) (fma.f64 (*.f64 i i) 4 1))
(.f64 (/.f64 (.f64 i (.f64 1/4 i)) (+.f64 -1 (.f64 (pow.f64 i 4) 16))) (.f64 (fma.f64 (.f64 i i) 4 1) 1))
(.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1)))
(.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (*.f64 i i) 4 1)) 1))
(.f64 (/.f64 (.f64 i i) (.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)) (.f64 i (.f64 i 4)))) (.f64 (fma.f64 (.f64 i i) 4 1) (*.f64 i i)))
(.f64 (/.f64 (.f64 i i) (.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)) 1)) (.f64 (fma.f64 (.f64 i i) 4 1) 1/4))
(.f64 (/.f64 (.f64 i i) (.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)) (.f64 i 4))) (.f64 (fma.f64 (*.f64 i i) 4 1) i))
(.f64 (/.f64 (.f64 i i) (.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)) (.f64 (.f64 i i) -4))) (.f64 (fma.f64 (.f64 i i) 4 1) (neg.f64 (*.f64 i i))))
(.f64 (/.f64 (.f64 i i) (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (.f64 i (.f64 i 4)))) (.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1)) (*.f64 i i)))
(.f64 (/.f64 (.f64 i i) (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) 1)) (.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1)) 1/4))
(.f64 (/.f64 (.f64 i i) (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (.f64 i 4))) (.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (*.f64 i i) 4 1)) i))
(.f64 (/.f64 (.f64 i i) (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (.f64 (.f64 i i) -4))) (.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1)) (neg.f64 (*.f64 i i))))
(.f64 (/.f64 (.f64 i (.f64 1/4 i)) (-.f64 1 (.f64 (pow.f64 i 4) 16))) (-.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (/.f64 1 (/.f64 (fma.f64 (.f64 i i) 4 -1) (*.f64 i i))) 1/4)
(.f64 (/.f64 1 (/.f64 (fma.f64 (.f64 i i) 4 -1) (cbrt.f64 (.f64 (pow.f64 i 4) 1/16)))) (cbrt.f64 (.f64 i (*.f64 1/4 i))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 1/16)) (fma.f64 (.f64 i i) 4 -1)) (cbrt.f64 (.f64 i (*.f64 1/4 i))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) (.f64 4 (fma.f64 (*.f64 i i) 4 -1))) (pow.f64 (cbrt.f64 i) 2))
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) (.f64 i (.f64 i 4))) (pow.f64 i 4))
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) 4) (*.f64 i i))
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) 1) (.f64 i (.f64 1/4 i)))
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) 2) (/.f64 (*.f64 i i) 2))
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) (cbrt.f64 16)) (/.f64 (*.f64 i i) (cbrt.f64 4)))
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) (*.f64 i 4)) (pow.f64 i 3))
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) (/.f64 4 i)) i)
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) (.f64 (.f64 i i) -4)) (.f64 (.f64 i i) (neg.f64 (*.f64 i i))))
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) -4) (neg.f64 (*.f64 i i)))
(.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) (/.f64 4 (cbrt.f64 (pow.f64 i 4)))) (pow.f64 (cbrt.f64 i) 2))
(.f64 (/.f64 (.f64 (.f64 i i) -1/4) (neg.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)))) (fma.f64 (*.f64 i i) 4 1))
(.f64 (/.f64 (.f64 (.f64 i i) -1/4) (neg.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)))) (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (*.f64 i i) 4 1)))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) (.f64 i (*.f64 i 4))) (pow.f64 i 3))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))) 4) i)
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) 1) (.f64 1/4 i))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) 1) (.f64 i 1/4))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) 2) (.f64 i 1/2))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) (cbrt.f64 16)) (.f64 i (cbrt.f64 1/4)))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) (.f64 i 4)) (*.f64 i i))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) (.f64 (.f64 i i) -4)) (.f64 i (neg.f64 (*.f64 i i))))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))) -4) (neg.f64 i))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))) (/.f64 4 (sqrt.f64 i))) (sqrt.f64 i))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))) (/.f64 4 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(.f64 (/.f64 (/.f64 (.f64 i (.f64 1/4 i)) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1))))
(.f64 (/.f64 (/.f64 (.f64 i (.f64 1/4 i)) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)))) (sqrt.f64 (fma.f64 (.f64 i i) 4 1)))
(.f64 (/.f64 (/.f64 i (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2) (/.f64 4 i))) (cbrt.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (*.f64 i i) 4 1))))
(.f64 (/.f64 (/.f64 i (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2) (/.f64 4 i))) (cbrt.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)))) (cbrt.f64 (fma.f64 (*.f64 i i) 4 1)))
(pow.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))) 1)
(pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 (.f64 i i) 4 -1)))) 2)
(pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))) 3)
(pow.f64 (pow.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))) 3) 1/3)
(pow.f64 (.f64 4 (/.f64 (fma.f64 (.f64 i i) 4 -1) (*.f64 i i))) -1)
(neg.f64 (/.f64 i (.f64 (+.f64 1 (.f64 (*.f64 i i) -4)) (/.f64 4 i))))
(sqrt.f64 (/.f64 (.f64 (pow.f64 i 4) 1/16) (pow.f64 (fma.f64 (.f64 i i) 4 -1) 2)))
(log.f64 (exp.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))))))
(cbrt.f64 (pow.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 i (.f64 1/4 i)) 3) (pow.f64 (fma.f64 (*.f64 i i) 4 -1) 3)))
(expm1.f64 (log1p.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(exp.f64 (log.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1)))) 1))
(log1p.f64 (expm1.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(-.f64 (fma.f64 (*.f64 i i) 4 1) 1)
(pow.f64 (.f64 i (.f64 i 4)) 1)
(pow.f64 (*.f64 i 2) 2)
(pow.f64 (cbrt.f64 (.f64 i (.f64 i 4))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 i i) 3) 64) 1/3)
(sqrt.f64 (*.f64 (pow.f64 i 4) 16))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 i i)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 i (.f64 i 4)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 i i) 3) 64))
(expm1.f64 (log1p.f64 (.f64 i (.f64 i 4))))
(exp.f64 (.f64 2 (log.f64 (.f64 i 2))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 i 2))) 1))
(log1p.f64 (expm1.f64 (.f64 i (.f64 i 4))))

Outputs
4
4
4
4
4
4
4
4
4
4
4
4
(*.f64 -1/4 (pow.f64 i 2))
(.f64 -1/4 (.f64 i i))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(fma.f64 -1 (pow.f64 i 4) (.f64 -1/4 (.f64 i i)))
(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))))
(-.f64 (fma.f64 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (pow.f64 i 4))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (pow.f64 i 4)))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 1/16 (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 1/16 (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
(*.f64 4 (pow.f64 i 2))
(.f64 4 (.f64 i i))
4
(+.f64 (.f64 (/.f64 (.f64 i (.f64 1/4 i)) (+.f64 -1 (.f64 (pow.f64 i 4) 16))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (.f64 i (.f64 1/4 i)) (+.f64 -1 (.f64 (pow.f64 i 4) 16))) 1))
(.f64 (.f64 i (.f64 i 1/4)) (/.f64 (fma.f64 (.f64 i i) 4 1) (+.f64 -1 (*.f64 (pow.f64 i 4) 16))))
(.f64 1/4 (/.f64 (.f64 (.f64 i i) (fma.f64 4 (.f64 i i) 1)) (fma.f64 (pow.f64 i 4) 16 -1)))
(+.f64 (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (.f64 (pow.f64 i 4) 16)) (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (fma.f64 (.f64 i i) 4 1)))
(.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 i 6) 64)) (/.f64 4 i))) (fma.f64 (pow.f64 i 4) 16 (fma.f64 (.f64 i i) 4 1)))
(.f64 (/.f64 i (.f64 (fma.f64 (pow.f64 i 6) 64 -1) (/.f64 4 i))) (fma.f64 (pow.f64 i 4) 16 (fma.f64 4 (*.f64 i i) 1)))
(+.f64 (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (fma.f64 (.f64 i i) 4 1)) (.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)) (/.f64 4 i))) (.f64 (pow.f64 i 4) 16)))
(.f64 (/.f64 i (.f64 (+.f64 -1 (.f64 (pow.f64 i 6) 64)) (/.f64 4 i))) (fma.f64 (pow.f64 i 4) 16 (fma.f64 (.f64 i i) 4 1)))
(.f64 (/.f64 i (.f64 (fma.f64 (pow.f64 i 6) 64 -1) (/.f64 4 i))) (fma.f64 (pow.f64 i 4) 16 (fma.f64 4 (*.f64 i i) 1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))))) 1)
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (.f64 i i) (.f64 1/4 (/.f64 1 (fma.f64 (.f64 i i) 4 -1))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (.f64 i i) (/.f64 1 (.f64 4 (fma.f64 (.f64 i i) 4 -1))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (.f64 i (.f64 1/4 i)) (/.f64 1 (fma.f64 (.f64 i i) 4 -1)))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (.f64 i (.f64 1/4 i)) (/.f64 (fma.f64 (.f64 i i) 4 1) (+.f64 -1 (*.f64 (pow.f64 i 4) 16))))
(.f64 (.f64 i (.f64 i 1/4)) (/.f64 (fma.f64 (.f64 i i) 4 1) (+.f64 -1 (*.f64 (pow.f64 i 4) 16))))
(.f64 1/4 (/.f64 (.f64 (.f64 i i) (fma.f64 4 (.f64 i i) 1)) (fma.f64 (pow.f64 i 4) 16 -1)))
(.f64 (.f64 i (.f64 1/4 i)) (/.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1)) (+.f64 -1 (.f64 (pow.f64 (*.f64 i i) 3) 64))))
(/.f64 (.f64 (.f64 i (.f64 i 1/4)) (fma.f64 (pow.f64 i 4) 16 (fma.f64 (.f64 i i) 4 1))) (+.f64 -1 (*.f64 (pow.f64 i 6) 64)))
(.f64 1/4 (.f64 (/.f64 i (fma.f64 (pow.f64 i 6) 64 -1)) (.f64 i (fma.f64 (pow.f64 i 4) 16 (fma.f64 4 (.f64 i i) 1)))))
(.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1))) 1)
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 1 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 (.f64 i i) 4 -1)))) (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 (*.f64 i i) 4 -1)))))
(pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 (.f64 i i) 4 -1)))) 2)
(pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 4 (.f64 i i) -1)))) 2)
(.f64 (.f64 i 1/2) (.f64 (.f64 i 1/2) (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (.f64 i 1/2) (/.f64 i (.f64 (fma.f64 (.f64 i i) 4 -1) 2)))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1)))) (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))) 2))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1)))) 2) (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 1/16)) (.f64 (cbrt.f64 (.f64 i (.f64 1/4 i))) (/.f64 1 (fma.f64 (.f64 i i) 4 -1))))
(.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 1/16)) (.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) (cbrt.f64 (.f64 i (.f64 i 1/4)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 1/16)) (/.f64 (cbrt.f64 (.f64 1/4 (.f64 i i))) (fma.f64 4 (*.f64 i i) -1)))
(.f64 1/4 (.f64 (.f64 i i) (/.f64 1 (fma.f64 (.f64 i i) 4 -1))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 1 (fma.f64 (.f64 i i) 4 -1)) (.f64 i (.f64 1/4 i)))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (.f64 (.f64 i i) -1/4) (/.f64 1 (+.f64 1 (.f64 (*.f64 i i) -4))))
(/.f64 (.f64 1 (.f64 -1/4 (.f64 i i))) (+.f64 1 (.f64 -4 (*.f64 i i))))
(.f64 -1/4 (/.f64 (.f64 i i) (fma.f64 -4 (*.f64 i i) 1)))
(.f64 (/.f64 (.f64 i i) 1) (/.f64 1/4 (fma.f64 (*.f64 i i) 4 -1)))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (/.f64 (.f64 i (.f64 1/4 i)) (sqrt.f64 (fma.f64 (*.f64 i i) 4 -1))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (/.f64 i (/.f64 (sqrt.f64 (fma.f64 (.f64 i i) 4 -1)) (.f64 i 1/4))))
(.f64 (/.f64 (.f64 i i) (sqrt.f64 (fma.f64 4 (.f64 i i) -1))) (/.f64 1/4 (sqrt.f64 (fma.f64 4 (.f64 i i) -1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2)) (/.f64 i (.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) (/.f64 4 i))))
(/.f64 (.f64 1 (/.f64 (/.f64 i (cbrt.f64 (fma.f64 (.f64 i i) 4 -1))) (/.f64 4 i))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) 4 -1)) 2))
(/.f64 (.f64 (/.f64 i (.f64 4 (cbrt.f64 (fma.f64 4 (.f64 i i) -1)))) i) (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 i i) -1)) 2))
(.f64 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)) 1/4)
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 1 (+.f64 -1 (.f64 (pow.f64 i 4) 16))) (.f64 (.f64 i (.f64 1/4 i)) (fma.f64 (.f64 i i) 4 1)))
(.f64 (.f64 i (.f64 i 1/4)) (/.f64 (fma.f64 (.f64 i i) 4 1) (+.f64 -1 (*.f64 (pow.f64 i 4) 16))))
(.f64 1/4 (/.f64 (.f64 (.f64 i i) (fma.f64 4 (.f64 i i) 1)) (fma.f64 (pow.f64 i 4) 16 -1)))
(.f64 (/.f64 1 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64))) (.f64 (.f64 i (.f64 1/4 i)) (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1))))
(/.f64 (.f64 (.f64 i (.f64 i 1/4)) (fma.f64 (pow.f64 i 4) 16 (fma.f64 (.f64 i i) 4 1))) (+.f64 -1 (*.f64 (pow.f64 i 6) 64)))
(.f64 1/4 (.f64 (/.f64 i (fma.f64 (pow.f64 i 6) 64 -1)) (.f64 i (fma.f64 (pow.f64 i 4) 16 (fma.f64 4 (.f64 i i) 1)))))
(.f64 (/.f64 1 (.f64 4 (fma.f64 (.f64 i i) 4 -1))) (.f64 i i))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 i i) -4))) (.f64 (*.f64 i i) -1/4))
(/.f64 (.f64 1 (.f64 -1/4 (.f64 i i))) (+.f64 1 (.f64 -4 (*.f64 i i))))
(.f64 -1/4 (/.f64 (.f64 i i) (fma.f64 -4 (*.f64 i i) 1)))
(.f64 (/.f64 i (fma.f64 (.f64 i i) 4 -1)) (*.f64 1/4 i))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) (fma.f64 (.f64 i i) 4 -1)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 4))
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) (fma.f64 4 (.f64 i i) -1)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 4))
(.f64 (/.f64 1/4 (fma.f64 (.f64 i i) 4 -1)) (*.f64 i i))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
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(.f64 (.f64 i (.f64 i 1/4)) (/.f64 (fma.f64 (.f64 i i) 4 1) (+.f64 -1 (*.f64 (pow.f64 i 4) 16))))
(.f64 1/4 (/.f64 (.f64 (.f64 i i) (fma.f64 4 (.f64 i i) 1)) (fma.f64 (pow.f64 i 4) 16 -1)))
(.f64 (/.f64 (.f64 (.f64 i i) -1/4) (neg.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)))) (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (*.f64 i i) 4 1)))
(/.f64 (.f64 (.f64 i (.f64 i 1/4)) (fma.f64 (pow.f64 i 4) 16 (fma.f64 (.f64 i i) 4 1))) (+.f64 -1 (*.f64 (pow.f64 i 6) 64)))
(.f64 1/4 (.f64 (/.f64 i (fma.f64 (pow.f64 i 6) 64 -1)) (.f64 i (fma.f64 (pow.f64 i 4) 16 (fma.f64 4 (.f64 i i) 1)))))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) (.f64 i (*.f64 i 4))) (pow.f64 i 3))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))) 4) i)
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) 1) (.f64 1/4 i))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) 1) (.f64 i 1/4))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) 2) (.f64 i 1/2))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) (cbrt.f64 16)) (.f64 i (cbrt.f64 1/4)))
(.f64 (/.f64 (/.f64 (.f64 i 1) (fma.f64 (.f64 i i) 4 -1)) (cbrt.f64 16)) (.f64 i (cbrt.f64 1/4)))
(.f64 (cbrt.f64 1/4) (/.f64 (.f64 i i) (.f64 (fma.f64 4 (.f64 i i) -1) (cbrt.f64 16))))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) (.f64 i 4)) (*.f64 i i))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (.f64 i i) 4 -1))) (.f64 (.f64 i i) -4)) (.f64 i (neg.f64 (*.f64 i i))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))) -4) (neg.f64 i))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))) (/.f64 4 (sqrt.f64 i))) (sqrt.f64 i))
(.f64 (sqrt.f64 i) (/.f64 (/.f64 (.f64 i 1) (fma.f64 (*.f64 i i) 4 -1)) (/.f64 4 (sqrt.f64 i))))
(.f64 (/.f64 i (/.f64 (fma.f64 4 (.f64 i i) -1) 1/4)) (*.f64 (sqrt.f64 i) (sqrt.f64 i)))
(.f64 (/.f64 (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 4 -1))) (/.f64 4 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(.f64 (cbrt.f64 i) (.f64 (/.f64 i (/.f64 4 (/.f64 1 (fma.f64 (*.f64 i i) 4 -1)))) (pow.f64 (cbrt.f64 i) 2)))
(.f64 (cbrt.f64 i) (.f64 (pow.f64 (cbrt.f64 i) 2) (/.f64 i (/.f64 (fma.f64 4 (*.f64 i i) -1) 1/4))))
(.f64 (/.f64 (/.f64 (.f64 i (.f64 1/4 i)) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (.f64 i i) 4 1))))
(.f64 (/.f64 (.f64 i (.f64 i 1/4)) (.f64 (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 i 6) 64))) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1)))) (sqrt.f64 (fma.f64 (pow.f64 i 4) 16 (fma.f64 (*.f64 i i) 4 1))))
(.f64 (.f64 (/.f64 i (sqrt.f64 (fma.f64 (pow.f64 i 6) 64 -1))) (/.f64 (.f64 i 1/4) (sqrt.f64 (fma.f64 4 (.f64 i i) -1)))) (sqrt.f64 (fma.f64 (pow.f64 i 4) 16 (fma.f64 4 (*.f64 i i) 1))))
(.f64 (/.f64 (/.f64 (.f64 i (.f64 1/4 i)) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1))) (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)))) (sqrt.f64 (fma.f64 (.f64 i i) 4 1)))
(.f64 (/.f64 (.f64 i (.f64 i 1/4)) (.f64 (sqrt.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16))) (sqrt.f64 (fma.f64 (.f64 i i) 4 -1)))) (sqrt.f64 (fma.f64 (*.f64 i i) 4 1)))
(.f64 (.f64 (/.f64 (.f64 i 1/4) (sqrt.f64 (fma.f64 (pow.f64 i 4) 16 -1))) (/.f64 i (sqrt.f64 (fma.f64 4 (.f64 i i) -1)))) (sqrt.f64 (fma.f64 4 (*.f64 i i) 1)))
(.f64 (/.f64 (/.f64 i (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2) (/.f64 4 i))) (cbrt.f64 (+.f64 -1 (.f64 (pow.f64 (.f64 i i) 3) 64)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 i 4) 16) (fma.f64 (*.f64 i i) 4 1))))
(.f64 (/.f64 (/.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2)) (/.f64 4 i)) (cbrt.f64 (+.f64 -1 (.f64 (pow.f64 i 6) 64)))) (cbrt.f64 (fma.f64 (pow.f64 i 4) 16 (fma.f64 (.f64 i i) 4 1))))
(.f64 (/.f64 i (.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 i 6) 64 -1)) (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 i i) -1)) 2)) (/.f64 4 i))) (cbrt.f64 (fma.f64 (pow.f64 i 4) 16 (fma.f64 4 (*.f64 i i) 1))))
(.f64 (/.f64 (/.f64 i (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2) (/.f64 4 i))) (cbrt.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)))) (cbrt.f64 (fma.f64 (*.f64 i i) 4 1)))
(.f64 (/.f64 (/.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 4 -1)) 2)) (/.f64 4 i)) (cbrt.f64 (+.f64 -1 (.f64 (pow.f64 i 4) 16)))) (cbrt.f64 (fma.f64 (.f64 i i) 4 1)))
(/.f64 (/.f64 (/.f64 i (/.f64 4 i)) (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 i i) -1)) 2)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 i 4) 16 -1)) (cbrt.f64 (fma.f64 4 (.f64 i i) 1))))
(pow.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))) 1)
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 (.f64 i i) 4 -1)))) 2)
(pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 4 (.f64 i i) -1)))) 2)
(pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))) 3)
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(pow.f64 (pow.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))) 3) 1/3)
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(pow.f64 (.f64 4 (/.f64 (fma.f64 (.f64 i i) 4 -1) (*.f64 i i))) -1)
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(neg.f64 (/.f64 i (.f64 (+.f64 1 (.f64 (*.f64 i i) -4)) (/.f64 4 i))))
(/.f64 (neg.f64 i) (.f64 (/.f64 4 i) (+.f64 1 (.f64 -4 (*.f64 i i)))))
(/.f64 (neg.f64 i) (.f64 (/.f64 4 i) (fma.f64 -4 (.f64 i i) 1)))
(/.f64 (neg.f64 (/.f64 i (/.f64 4 i))) (fma.f64 -4 (*.f64 i i) 1))
(sqrt.f64 (/.f64 (.f64 (pow.f64 i 4) 1/16) (pow.f64 (fma.f64 (.f64 i i) 4 -1) 2)))
(sqrt.f64 (/.f64 (pow.f64 i 4) (/.f64 (pow.f64 (fma.f64 (*.f64 i i) 4 -1) 2) 1/16)))
(sqrt.f64 (/.f64 (pow.f64 i 4) (/.f64 (pow.f64 (fma.f64 4 (*.f64 i i) -1) 2) 1/16)))
(log.f64 (exp.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(cbrt.f64 (pow.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1))) 3))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(cbrt.f64 (/.f64 (pow.f64 (.f64 i (.f64 1/4 i)) 3) (pow.f64 (fma.f64 (*.f64 i i) 4 -1) 3)))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(expm1.f64 (log1p.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(exp.f64 (log.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) 4 -1)))) 1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(log1p.f64 (expm1.f64 (.f64 1/4 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) 4 -1)))))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 (*.f64 i i) 4 -1))
(/.f64 (.f64 1/4 (.f64 i i)) (fma.f64 4 (*.f64 i i) -1))
(-.f64 (fma.f64 (*.f64 i i) 4 1) 1)
(+.f64 (fma.f64 (*.f64 i i) 4 1) -1)
(+.f64 (.f64 4 (.f64 i i)) 0)
(pow.f64 (.f64 i (.f64 i 4)) 1)
(.f64 4 (.f64 i i))
(pow.f64 (*.f64 i 2) 2)
(.f64 4 (.f64 i i))
(pow.f64 (cbrt.f64 (.f64 i (.f64 i 4))) 3)
(.f64 4 (.f64 i i))
(pow.f64 (.f64 (pow.f64 (.f64 i i) 3) 64) 1/3)
(cbrt.f64 (*.f64 (pow.f64 i 6) 64))
(sqrt.f64 (*.f64 (pow.f64 i 4) 16))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 i i)))
(.f64 4 (.f64 i i))
(log.f64 (+.f64 1 (expm1.f64 (.f64 i (.f64 i 4)))))
(.f64 4 (.f64 i i))
(cbrt.f64 (.f64 (pow.f64 (.f64 i i) 3) 64))
(cbrt.f64 (*.f64 (pow.f64 i 6) 64))
(expm1.f64 (log1p.f64 (.f64 i (.f64 i 4))))
(.f64 4 (.f64 i i))
(exp.f64 (.f64 2 (log.f64 (.f64 i 2))))
(.f64 4 (.f64 i i))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 i 2))) 1))
(.f64 4 (.f64 i i))
(log1p.f64 (expm1.f64 (.f64 i (.f64 i 4))))
(.f64 4 (.f64 i i))

eval188.0ms (6.1%)

Compiler: Compiled 6950 to 4812 computations (30.8% saved)

prune57.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	362	5	367
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	363	6	369

Accurracy

100.0%

Counts

369 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))
▶	99.7%	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
✓	99.8%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
▶	50.6%	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
▶	48.9%	(.f64 i (.f64 i -1/4))
	51.4%	1/16

Compiler

Compiled 44 to 35 computations (20.5% saved)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize11.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	i	@	0	(/.f64 1/64 (*.f64 i i))
0.0ms	i	@	inf	(/.f64 1/64 (*.f64 i i))
0.0ms	i	@	-inf	(/.f64 1/64 (*.f64 i i))

rewrite48.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`add-sqr-sqrt`
1184×	`*-un-lft-identity`
1122×	`add-cube-cbrt`
1114×	`add-cbrt-cube`
1102×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	130	13
2	1591	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 1/64 (*.f64 i i))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/64 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/64 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 i) (/.f64 1/8 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))) (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/64 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i -2) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/64 (/.f64 1 (neg.f64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/64 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/8 i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 i i) 64) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4096 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/64 (pow.f64 i -2))))))))

simplify44.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-/l*`
1092×	`associate-/r*`
844×	`distribute-lft-in`
816×	`*-commutative`
812×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	485
1	150	485
2	449	485
3	2054	485

Stop Event

1×	node limit

Counts

33 → 28

Calls

Call 1

Inputs
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(-.f64 (+.f64 1 (*.f64 1/64 (pow.f64 i -2))) 1)
(*.f64 1/64 (pow.f64 i -2))
(.f64 (.f64 1/64 (pow.f64 i -2)) 1)
(.f64 1 (.f64 1/64 (pow.f64 i -2)))
(*.f64 (/.f64 1/8 i) (/.f64 1/8 i))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))))
(*.f64 (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))) (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 1/64 i) (/.f64 1 i))
(*.f64 (pow.f64 i -2) 1/64)
(.f64 -1/64 (/.f64 1 (neg.f64 (.f64 i i))))
(pow.f64 (*.f64 1/64 (pow.f64 i -2)) 1)
(pow.f64 (/.f64 1/8 i) 2)
(pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 3)
(pow.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3) 1/3)
(pow.f64 (.f64 (.f64 i i) 64) -1)
(sqrt.f64 (/.f64 1/4096 (pow.f64 i 4)))
(log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 i -2)))
(cbrt.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/64 (pow.f64 i -2))))
(exp.f64 (log.f64 (*.f64 1/64 (pow.f64 i -2))))
(log1p.f64 (expm1.f64 (*.f64 1/64 (pow.f64 i -2))))

Outputs
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(-.f64 (+.f64 1 (*.f64 1/64 (pow.f64 i -2))) 1)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (*.f64 i i))
(/.f64 (/.f64 1/64 i) i)
(.f64 (.f64 1/64 (pow.f64 i -2)) 1)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(.f64 1 (.f64 1/64 (pow.f64 i -2)))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(*.f64 (/.f64 1/8 i) (/.f64 1/8 i))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4096 (pow.f64 i -4))) (pow.f64 (cbrt.f64 i) 2)) 1/4)
(/.f64 1/4 (/.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (pow.f64 (/.f64 1/8 i) 4))))
(*.f64 (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))) (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4096 (pow.f64 i -4))) (pow.f64 (cbrt.f64 i) 2)) 1/4)
(/.f64 1/4 (/.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (pow.f64 (/.f64 1/8 i) 4))))
(*.f64 (/.f64 1/64 i) (/.f64 1 i))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(*.f64 (pow.f64 i -2) 1/64)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(.f64 -1/64 (/.f64 1 (neg.f64 (.f64 i i))))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(pow.f64 (*.f64 1/64 (pow.f64 i -2)) 1)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(pow.f64 (/.f64 1/8 i) 2)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 3)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(pow.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3) 1/3)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(pow.f64 (.f64 (.f64 i i) 64) -1)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(sqrt.f64 (/.f64 1/4096 (pow.f64 i 4)))
(sqrt.f64 (*.f64 1/4096 (pow.f64 i -4)))
(sqrt.f64 (pow.f64 (/.f64 1/8 i) 4))
(log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 i -2)))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(cbrt.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(expm1.f64 (log1p.f64 (*.f64 1/64 (pow.f64 i -2))))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(exp.f64 (log.f64 (*.f64 1/64 (pow.f64 i -2))))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)
(log1p.f64 (expm1.f64 (*.f64 1/64 (pow.f64 i -2))))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 (/.f64 1/64 i) i)

localize9.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	i	@	0	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
0.0ms	i	@	-inf	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
0.0ms	i	@	inf	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

rewrite69.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`associate-*r/`
746×	`*-commutative`
552×	`associate-*l/`
516×	`unswap-sqr`
442×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	207	19
2	2485	19

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 4) (*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (pow.f64 i -2)) (*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) 16) (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2)))) (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (pow.f64 i -4) 16)) (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (*.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))) (*.f64 (pow.f64 i -2) (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 i -2) (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))) (*.f64 4 (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))) (*.f64 (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))) (*.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (pow.f64 i -4) 16) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))) (*.f64 (*.f64 4 (pow.f64 i -2)) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (-.f64 4 (pow.f64 i -2)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (pow.f64 i -2)) (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 i -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16)) (/.f64 1/4 (-.f64 64 (pow.f64 i -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (+.f64 (pow.f64 i -2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1/4 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (*.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 16 (pow.f64 i -4))) (+.f64 1 (*.f64 (pow.f64 i -2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 64 (pow.f64 i -6))) (+.f64 4 (*.f64 1/4 (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 i -2) -4)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 -16 (pow.f64 i -4))) (+.f64 (neg.f64 (pow.f64 i -2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (neg.f64 (-.f64 64 (pow.f64 i -6)))) (neg.f64 (+.f64 (*.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3))) (-.f64 (+.f64 (pow.f64 i -4) 16) (*.f64 4 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 (+.f64 -16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 (neg.f64 (-.f64 64 (pow.f64 i -6)))) (+.f64 (*.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 16 (pow.f64 i -4)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 64 (pow.f64 i -6)))) (sqrt.f64 (+.f64 (*.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 16 (pow.f64 i -4)))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 64 (pow.f64 i -6)))) (cbrt.f64 (+.f64 (*.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (*.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 16 (*.f64 4 (pow.f64 i -2))) -1/2) (pow.f64 (-.f64 16 (*.f64 4 (pow.f64 i -2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 16 (*.f64 4 (pow.f64 i -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))

simplify76.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1490×	`associate-/r*`
1438×	`associate-+r+`
1114×	`associate-+l+`
718×	`fma-def`
534×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2698
1	546	2488
2	1674	2442
3	5083	2442

Stop Event

1×	node limit

Counts

72 → 118

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) -1)
(+.f64 (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 4) (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (pow.f64 i -2)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (pow.f64 i -2)) (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 4))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) 16) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2)))))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (pow.f64 i -4) (.f64 4 (pow.f64 i -2)))) (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) 16))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (pow.f64 i -4) 16)) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (*.f64 4 (pow.f64 i -2))))
(+.f64 (.f64 4 (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))) (.f64 (pow.f64 i -2) (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))))
(+.f64 (.f64 (pow.f64 i -2) (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))) (.f64 4 (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))))
(+.f64 (.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))) (.f64 (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))))
(+.f64 (.f64 (+.f64 (pow.f64 i -4) (.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))) (*.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))))
(+.f64 (.f64 (+.f64 (pow.f64 i -4) 16) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))) (.f64 (*.f64 4 (pow.f64 i -2)) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1)
(*.f64 1/4 (/.f64 1 (-.f64 4 (pow.f64 i -2))))
(*.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)
(*.f64 1 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))
(*.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(.f64 -1 (/.f64 1 (.f64 (-.f64 4 (pow.f64 i -2)) -4)))
(*.f64 (+.f64 4 (pow.f64 i -2)) (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 i -2))) 1/4)
(.f64 (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16)) (/.f64 1/4 (-.f64 64 (pow.f64 i -6))))
(*.f64 -1/4 (/.f64 1 (+.f64 (pow.f64 i -2) -4)))
(*.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1/4 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16)))
(.f64 (/.f64 1 (-.f64 16 (pow.f64 i -4))) (+.f64 1 (.f64 (pow.f64 i -2) 1/4)))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 i -6))) (+.f64 4 (.f64 1/4 (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 i -2) -4)) -1/4)
(*.f64 (/.f64 1/4 (+.f64 -16 (pow.f64 i -4))) (+.f64 (neg.f64 (pow.f64 i -2)) -4))
(.f64 (/.f64 1/4 (neg.f64 (-.f64 64 (pow.f64 i -6)))) (neg.f64 (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16))))
(.f64 (/.f64 1/4 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3))) (-.f64 (+.f64 (pow.f64 i -4) 16) (.f64 4 (neg.f64 (pow.f64 i -2)))))
(*.f64 (/.f64 -1/4 (+.f64 -16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(.f64 (/.f64 -1/4 (neg.f64 (-.f64 64 (pow.f64 i -6)))) (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16)))
(*.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 16 (pow.f64 i -4)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 64 (pow.f64 i -6)))) (sqrt.f64 (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16))))
(*.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 16 (pow.f64 i -4)))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 64 (pow.f64 i -6)))) (cbrt.f64 (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (*.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/6))
(.f64 (pow.f64 (-.f64 16 (.f64 4 (pow.f64 i -2))) -1/2) (pow.f64 (-.f64 16 (*.f64 4 (pow.f64 i -2))) -1/2))
(pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)
(pow.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3)
(pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/3)
(pow.f64 (-.f64 16 (*.f64 4 (pow.f64 i -2))) -1)
(sqrt.f64 (*.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))
(log.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))
(cbrt.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(exp.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(.f64 -1/4 (.f64 i i))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(fma.f64 -1 (pow.f64 i 4) (.f64 -1/4 (.f64 i i)))
(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))))
(-.f64 (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4)))
(-.f64 (fma.f64 -16 (pow.f64 i 8) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))) (pow.f64 i 4))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) -1)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 4) (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (-.f64 16 (pow.f64 i -4)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (pow.f64 i -2)) (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 4))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (-.f64 16 (pow.f64 i -4)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) 16) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (pow.f64 i -4) (.f64 4 (pow.f64 i -2)))) (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) 16))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (pow.f64 i -4) 16)) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (*.f64 4 (pow.f64 i -2))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(+.f64 (.f64 4 (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))) (.f64 (pow.f64 i -2) (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (-.f64 16 (pow.f64 i -4)))
(+.f64 (.f64 (pow.f64 i -2) (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))) (.f64 4 (/.f64 1/4 (-.f64 16 (pow.f64 i -4)))))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (-.f64 16 (pow.f64 i -4)))
(+.f64 (.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))) (.f64 (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(+.f64 (.f64 (+.f64 (pow.f64 i -4) (.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))) (*.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(+.f64 (.f64 (+.f64 (pow.f64 i -4) 16) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))) (.f64 (*.f64 4 (pow.f64 i -2)) (/.f64 1/4 (-.f64 64 (pow.f64 i -6)))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 1/4 (/.f64 1 (-.f64 4 (pow.f64 i -2))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 1 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(.f64 -1 (/.f64 1 (.f64 (-.f64 4 (pow.f64 i -2)) -4)))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (+.f64 4 (pow.f64 i -2)) (/.f64 1/4 (-.f64 16 (pow.f64 i -4))))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (-.f64 16 (pow.f64 i -4)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 i -2))) 1/4)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(.f64 (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16)) (/.f64 1/4 (-.f64 64 (pow.f64 i -6))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(*.f64 -1/4 (/.f64 1 (+.f64 (pow.f64 i -2) -4)))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 1/4 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 1/4 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 1/4 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1/4 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 1 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 1/4 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (-.f64 16 (pow.f64 i -4)))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16)))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(.f64 (/.f64 1 (-.f64 16 (pow.f64 i -4))) (+.f64 1 (.f64 (pow.f64 i -2) 1/4)))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (-.f64 16 (pow.f64 i -4)))
(.f64 (/.f64 1 (-.f64 64 (pow.f64 i -6))) (+.f64 4 (.f64 1/4 (+.f64 (pow.f64 i -4) (*.f64 4 (pow.f64 i -2))))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 i -2) -4)) -1/4)
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (+.f64 -16 (pow.f64 i -4))) (+.f64 (neg.f64 (pow.f64 i -2)) -4))
(*.f64 (/.f64 1/4 (+.f64 -16 (pow.f64 i -4))) (+.f64 -4 (neg.f64 (pow.f64 i -2))))
(/.f64 1/4 (/.f64 (+.f64 -16 (pow.f64 i -4)) (-.f64 -4 (pow.f64 i -2))))
(/.f64 (fma.f64 -1/4 (pow.f64 i -2) -1) (+.f64 -16 (pow.f64 i -4)))
(.f64 (/.f64 1/4 (neg.f64 (-.f64 64 (pow.f64 i -6)))) (neg.f64 (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(.f64 (/.f64 1/4 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3))) (-.f64 (+.f64 (pow.f64 i -4) 16) (.f64 4 (neg.f64 (pow.f64 i -2)))))
(.f64 (/.f64 1/4 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3))) (-.f64 (+.f64 16 (pow.f64 i -4)) (.f64 4 (neg.f64 (pow.f64 i -2)))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 (pow.f64 i -2) 3)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 (pow.f64 i -2) 3)))
(*.f64 (/.f64 -1/4 (+.f64 -16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (+.f64 -16 (pow.f64 i -4))) (+.f64 -4 (neg.f64 (pow.f64 i -2))))
(/.f64 1/4 (/.f64 (+.f64 -16 (pow.f64 i -4)) (-.f64 -4 (pow.f64 i -2))))
(/.f64 (fma.f64 -1/4 (pow.f64 i -2) -1) (+.f64 -16 (pow.f64 i -4)))
(.f64 (/.f64 -1/4 (neg.f64 (-.f64 64 (pow.f64 i -6)))) (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16)))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))
(/.f64 (fma.f64 1/4 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)) 4) (-.f64 64 (pow.f64 i -6)))
(/.f64 (+.f64 4 (fma.f64 1/4 (pow.f64 i -4) (pow.f64 i -2))) (-.f64 64 (pow.f64 i -6)))
(*.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 16 (pow.f64 i -4)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (*.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 16 (pow.f64 i -4))))
(*.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 (sqrt.f64 (+.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 16 (pow.f64 i -4)))))
(.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 64 (pow.f64 i -6)))) (sqrt.f64 (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16))))
(/.f64 (*.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))) (sqrt.f64 (-.f64 64 (pow.f64 i -6))))
(*.f64 (/.f64 (/.f64 1/4 (sqrt.f64 (-.f64 64 (pow.f64 i -6)))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)))))
(*.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 (sqrt.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)))) (sqrt.f64 (-.f64 64 (pow.f64 i -6)))))
(*.f64 (/.f64 1/4 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 (sqrt.f64 (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4)))) (sqrt.f64 (-.f64 64 (pow.f64 i -6)))))
(*.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 16 (pow.f64 i -4)))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 1/4 (.f64 (cbrt.f64 (-.f64 16 (pow.f64 i -4))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 1/4 (.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 16 (pow.f64 i -4))))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(*.f64 (/.f64 1/4 (cbrt.f64 (-.f64 16 (pow.f64 i -4)))) (/.f64 (cbrt.f64 (+.f64 4 (pow.f64 i -2))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 4 (pow.f64 i -2))) (/.f64 1/4 (cbrt.f64 (-.f64 16 (pow.f64 i -4))))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(.f64 (/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 64 (pow.f64 i -6)))) (cbrt.f64 (+.f64 (.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 i -4) 16))))
(/.f64 (*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4))))) (cbrt.f64 (-.f64 64 (pow.f64 i -6))))
(*.f64 (/.f64 (/.f64 1/4 (cbrt.f64 (-.f64 64 (pow.f64 i -6)))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 (cbrt.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)))) (cbrt.f64 (-.f64 64 (pow.f64 i -6)))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (/.f64 (cbrt.f64 (fma.f64 4 (pow.f64 i -2) (+.f64 16 (pow.f64 i -4)))) (cbrt.f64 (-.f64 64 (pow.f64 i -6)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))
(.f64 (.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (*.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3/2))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/6))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(.f64 (pow.f64 (-.f64 16 (.f64 4 (pow.f64 i -2))) -1/2) (pow.f64 (-.f64 16 (*.f64 4 (pow.f64 i -2))) -1/2))
(/.f64 1 (+.f64 16 (*.f64 -4 (pow.f64 i -2))))
(/.f64 1 (fma.f64 -4 (pow.f64 i -2) 16))
(pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(pow.f64 (sqrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 2)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(pow.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3) 1/3)
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(pow.f64 (-.f64 16 (*.f64 4 (pow.f64 i -2))) -1)
(/.f64 1 (+.f64 16 (*.f64 -4 (pow.f64 i -2))))
(/.f64 1 (fma.f64 -4 (pow.f64 i -2) 16))
(sqrt.f64 (*.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))
(fabs.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))
(log.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(cbrt.f64 (pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 3))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(expm1.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(exp.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
(log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

localize12.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 -4 i) i)
✓	99.7%	(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/.f64 (/.f64 -4 i) i)
0.0ms	i	@	0	(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))
0.0ms	i	@	inf	(/.f64 (/.f64 -4 i) i)
0.0ms	i	@	inf	(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))
0.0ms	i	@	-inf	(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))

rewrite72.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`associate-/r*`
932×	`*-commutative`
906×	`associate-/l*`
556×	`swap-sqr`
466×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	222	38
2	2830	38

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))
(/.f64 (/.f64 -4 i) i)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 256 (/.f64 -16 (*.f64 i (pow.f64 i 3))))) 16) (*.f64 (/.f64 1 (+.f64 256 (/.f64 -16 (*.f64 i (pow.f64 i 3))))) (/.f64 4 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (*.f64 i i) 3)))) 256) (*.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (*.f64 i i) 3)))) (+.f64 (/.f64 16 (*.f64 i (pow.f64 i 3))) (/.f64 64 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (*.f64 i i) 3)))) (+.f64 (/.f64 16 (*.f64 i (pow.f64 i 3))) (/.f64 64 (*.f64 i i)))) (*.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (*.f64 i i) 3)))) 256))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16 (/.f64 1 (+.f64 256 (/.f64 -16 (*.f64 i (pow.f64 i 3)))))) (*.f64 (/.f64 4 (*.f64 i i)) (/.f64 1 (+.f64 256 (/.f64 -16 (*.f64 i (pow.f64 i 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 256 (/.f64 1 (+.f64 4096 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simplify82.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate-/l*`
1586×	`associate-*r/`
1370×	`associate-/r*`
1098×	`associate-*l/`
842×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	4242
1	819	3884
2	2669	3852

Stop Event

1×	node limit

Counts

124 → 180

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (pow.f64 i 2))
(+.f64 (.f64 (/.f64 1 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3))))) 16) (.f64 (/.f64 1 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3))))) (/.f64 4 (*.f64 i i))))
(+.f64 (.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))) 256) (.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))) (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (/.f64 64 (.f64 i i)))))
(+.f64 (.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))) (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (/.f64 64 (.f64 i i)))) (.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))) 256))
(+.f64 (.f64 16 (/.f64 1 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3)))))) (.f64 (/.f64 4 (.f64 i i)) (/.f64 1 (+.f64 256 (/.f64 -16 (*.f64 i (pow.f64 i 3)))))))
(+.f64 (.f64 256 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))) (.f64 (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (/.f64 64 (.f64 i i))) (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))))
(+.f64 (.f64 (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (/.f64 64 (.f64 i i))) (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))) (.f64 256 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i)))))) 1)
(.f64 1 (/.f64 -1 (+.f64 -16 (/.f64 4 (.f64 i i)))))
(.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (.f64 i i)))) 1)
(.f64 (pow.f64 (+.f64 16 (/.f64 -4 (.f64 i i))) -1/2) (pow.f64 (+.f64 16 (/.f64 -4 (*.f64 i i))) -1/2))
(.f64 (cbrt.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (.f64 i i))))) (cbrt.f64 (pow.f64 (+.f64 16 (/.f64 -4 (*.f64 i i))) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 16 (/.f64 -4 (.f64 i i))) -2)) (cbrt.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i))))))
(.f64 (+.f64 16 (/.f64 4 (.f64 i i))) (/.f64 1 (+.f64 256 (/.f64 -16 (*.f64 i (pow.f64 i 3))))))
(.f64 (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (+.f64 256 (/.f64 64 (.f64 i i)))) (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))))
(.f64 -1 (/.f64 1 (+.f64 -16 (/.f64 4 (.f64 i i)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 16 (/.f64 -4 (.f64 i i)))) 2)) (cbrt.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i))))))
(.f64 (/.f64 1 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3))))) (+.f64 16 (/.f64 4 (*.f64 i i))))
(.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))) (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (+.f64 256 (/.f64 64 (.f64 i i)))))
(.f64 (/.f64 1 (+.f64 -16 (/.f64 4 (.f64 i i)))) -1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 16 (/.f64 -4 (.f64 i i)))) -1) (pow.f64 (sqrt.f64 (+.f64 16 (/.f64 -4 (*.f64 i i)))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 16 (/.f64 -4 (.f64 i i)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 16 (/.f64 -4 (*.f64 i i)))) -1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 16 (/.f64 -4 (.f64 i i)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 16 (/.f64 -4 (*.f64 i i)))) 2) -1))
(.f64 (/.f64 (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (+.f64 256 (/.f64 64 (.f64 i i)))) (-.f64 16777216 (.f64 (/.f64 -64 (pow.f64 (.f64 i i) 3)) (/.f64 -64 (pow.f64 (.f64 i i) 3))))) (-.f64 4096 (/.f64 -64 (pow.f64 (*.f64 i i) 3))))
(.f64 (/.f64 (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (+.f64 256 (/.f64 64 (.f64 i i)))) (+.f64 68719476736 (pow.f64 (/.f64 -64 (pow.f64 (.f64 i i) 3)) 3))) (+.f64 16777216 (.f64 (/.f64 -64 (pow.f64 (.f64 i i) 3)) (-.f64 (/.f64 -64 (pow.f64 (*.f64 i i) 3)) 4096))))
(.f64 (/.f64 1 (+.f64 -256 (/.f64 16 (.f64 i (pow.f64 i 3))))) (+.f64 -16 (/.f64 -4 (*.f64 i i))))
(.f64 (/.f64 1 (neg.f64 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))) (+.f64 -256 (neg.f64 (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (/.f64 64 (.f64 i i))))))
(.f64 (/.f64 1 (-.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) 256)) (-.f64 (/.f64 -4 (*.f64 i i)) 16))
(.f64 (/.f64 (pow.f64 (+.f64 16 (/.f64 -4 (.f64 i i))) -1/2) (sqrt.f64 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))) (sqrt.f64 (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (+.f64 256 (/.f64 64 (*.f64 i i))))))
(.f64 (/.f64 (pow.f64 (+.f64 16 (/.f64 -4 (.f64 i i))) -1/2) (sqrt.f64 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3)))))) (sqrt.f64 (+.f64 16 (/.f64 4 (.f64 i i)))))
(.f64 (/.f64 -1 (+.f64 -256 (/.f64 16 (.f64 i (pow.f64 i 3))))) (+.f64 16 (/.f64 4 (*.f64 i i))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))) (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (+.f64 256 (/.f64 64 (.f64 i i)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 16 (/.f64 -4 (.f64 i i)))) 2)) (cbrt.f64 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))) (cbrt.f64 (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (+.f64 256 (/.f64 64 (*.f64 i i))))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 16 (/.f64 -4 (.f64 i i)))) 2)) (cbrt.f64 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3)))))) (cbrt.f64 (+.f64 16 (/.f64 4 (.f64 i i)))))
(.f64 (/.f64 (+.f64 16 (/.f64 4 (.f64 i i))) (-.f64 65536 (.f64 (/.f64 -4 (.f64 i i)) (/.f64 -64 (pow.f64 (.f64 i i) 3))))) (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) 256))
(.f64 (/.f64 (+.f64 16 (/.f64 4 (.f64 i i))) (-.f64 16777216 (pow.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) 3))) (+.f64 65536 (.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) 256))))
(pow.f64 (+.f64 16 (/.f64 -4 (*.f64 i i))) -1)
(pow.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i)))) 1)
(pow.f64 (pow.f64 (+.f64 16 (/.f64 -4 (*.f64 i i))) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i))))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 16 (/.f64 -4 (*.f64 i i))) -2))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i)))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i)))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 16 (/.f64 -4 (*.f64 i i))))))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -16 (/.f64 4 (*.f64 i i))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -4 (*.f64 i i)))) 1)
(.f64 1 (/.f64 -4 (.f64 i i)))
(.f64 -4 (.f64 (/.f64 1 i) (/.f64 1 i)))
(.f64 -4 (/.f64 1 (.f64 i i)))
(*.f64 (/.f64 -4 i) (/.f64 1 i))
(.f64 (/.f64 -4 (.f64 i i)) 1)
(*.f64 (/.f64 (sqrt.f64 -4) i) (/.f64 (sqrt.f64 -4) i))
(.f64 (sqrt.f64 (/.f64 -4 i)) (.f64 (sqrt.f64 (/.f64 -4 i)) (/.f64 1 i)))
(*.f64 (sqrt.f64 (/.f64 -4 i)) (/.f64 (sqrt.f64 (/.f64 -4 i)) i))
(.f64 (cbrt.f64 (/.f64 -4 (.f64 i i))) (pow.f64 (cbrt.f64 (/.f64 -4 (*.f64 i i))) 2))
(.f64 (cbrt.f64 (/.f64 -4 (.f64 i i))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (pow.f64 (cbrt.f64 i) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (.f64 i i))) 2) (cbrt.f64 (/.f64 -4 (*.f64 i i))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (.f64 (cbrt.f64 (/.f64 -4 i)) (/.f64 1 i)))
(*.f64 (/.f64 1 i) (/.f64 -4 i))
(*.f64 (/.f64 4 i) (/.f64 -1 i))
(.f64 (.f64 (/.f64 1 i) (/.f64 1 i)) -4)
(.f64 (.f64 (sqrt.f64 (/.f64 -4 i)) (/.f64 1 i)) (sqrt.f64 (/.f64 -4 i)))
(.f64 (.f64 (cbrt.f64 (/.f64 -4 i)) (/.f64 1 i)) (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2))
(.f64 (/.f64 -4 (.f64 i (sqrt.f64 i))) (/.f64 1 (sqrt.f64 i)))
(.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 -4 (.f64 i (sqrt.f64 i))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 -4 (.f64 i (cbrt.f64 i))))
(.f64 (/.f64 -4 (sqrt.f64 i)) (/.f64 1 (.f64 i (sqrt.f64 i))))
(.f64 (/.f64 -4 (pow.f64 (cbrt.f64 i) 2)) (/.f64 1 (.f64 i (cbrt.f64 i))))
(.f64 (/.f64 -4 (.f64 i (cbrt.f64 i))) (/.f64 1 (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 -1 i) (/.f64 4 i))
(.f64 (/.f64 1 (.f64 i i)) -4)
(.f64 (/.f64 1 (.f64 i (sqrt.f64 i))) (/.f64 -4 (sqrt.f64 i)))
(.f64 (/.f64 1 (.f64 i (cbrt.f64 i))) (/.f64 -4 (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -4 i)) i) (sqrt.f64 (/.f64 -4 i)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -4 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (/.f64 -4 i)) (cbrt.f64 i)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -4 i)) (cbrt.f64 i)) (/.f64 (sqrt.f64 (/.f64 -4 i)) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -4 i)) i))
(*.f64 (/.f64 (cbrt.f64 (/.f64 -4 i)) i) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (/.f64 -4 i)) (sqrt.f64 i)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 -4 i)) (sqrt.f64 i)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (sqrt.f64 i)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 -4 (.f64 i i))))
(*.f64 (/.f64 (/.f64 1 i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 -4 (cbrt.f64 i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) i) (cbrt.f64 (/.f64 -4 i)))
(*.f64 (/.f64 1 (/.f64 i (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2))) (cbrt.f64 (/.f64 -4 i)))
(*.f64 (/.f64 (/.f64 1 i) (neg.f64 i)) 4)
(pow.f64 (/.f64 -4 (*.f64 i i)) 1)
(pow.f64 (/.f64 (sqrt.f64 -4) i) 2)
(pow.f64 (cbrt.f64 (/.f64 -4 (*.f64 i i))) 3)
(pow.f64 (.f64 i (.f64 i -1/4)) -1)
(pow.f64 (/.f64 -64 (pow.f64 (*.f64 i i) 3)) 1/3)
(neg.f64 (/.f64 4 (*.f64 i i)))
(sqrt.f64 (/.f64 16 (*.f64 i (pow.f64 i 3))))
(log.f64 (exp.f64 (/.f64 -4 (*.f64 i i))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -4 (*.f64 i i)))))
(cbrt.f64 (/.f64 -64 (pow.f64 (*.f64 i i) 3)))
(expm1.f64 (log1p.f64 (/.f64 -4 (*.f64 i i))))
(exp.f64 (log.f64 (/.f64 -4 (*.f64 i i))))
(log1p.f64 (expm1.f64 (/.f64 -4 (*.f64 i i))))

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(.f64 -1/4 (.f64 i i))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(fma.f64 -1 (pow.f64 i 4) (.f64 -1/4 (.f64 i i)))
(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))))
(-.f64 (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))) (pow.f64 i 4)))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/64 (*.f64 i i))))
(+.f64 1/16 (+.f64 (+.f64 (/.f64 (/.f64 1/64 i) i) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/64 (*.f64 i i))))
(+.f64 1/16 (+.f64 (+.f64 (/.f64 (/.f64 1/64 i) i) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))))
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(/.f64 -4 (pow.f64 i 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(+.f64 (.f64 (/.f64 1 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3))))) 16) (.f64 (/.f64 1 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3))))) (/.f64 4 (*.f64 i i))))
(.f64 (/.f64 1 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3))))) (+.f64 16 (/.f64 4 (*.f64 i i))))
(/.f64 (+.f64 16 (/.f64 4 (*.f64 i i))) (+.f64 256 (/.f64 -16 (pow.f64 i 4))))
(+.f64 (.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))) 256) (.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))) (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (/.f64 64 (.f64 i i)))))
(.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 i 6)))) (+.f64 (+.f64 (/.f64 (/.f64 16 i) (pow.f64 i 3)) (/.f64 64 (.f64 i i))) 256))
(/.f64 (+.f64 (/.f64 16 (pow.f64 i 4)) (+.f64 256 (/.f64 64 (*.f64 i i)))) (+.f64 4096 (/.f64 -64 (pow.f64 i 6))))
(+.f64 (.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))) (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (/.f64 64 (.f64 i i)))) (.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3)))) 256))
(.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 i 6)))) (+.f64 (+.f64 (/.f64 (/.f64 16 i) (pow.f64 i 3)) (/.f64 64 (.f64 i i))) 256))
(/.f64 (+.f64 (/.f64 16 (pow.f64 i 4)) (+.f64 256 (/.f64 64 (*.f64 i i)))) (+.f64 4096 (/.f64 -64 (pow.f64 i 6))))
(+.f64 (.f64 16 (/.f64 1 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3)))))) (.f64 (/.f64 4 (.f64 i i)) (/.f64 1 (+.f64 256 (/.f64 -16 (*.f64 i (pow.f64 i 3)))))))
(.f64 (/.f64 1 (+.f64 256 (/.f64 -16 (.f64 i (pow.f64 i 3))))) (+.f64 16 (/.f64 4 (*.f64 i i))))
(/.f64 (+.f64 16 (/.f64 4 (*.f64 i i))) (+.f64 256 (/.f64 -16 (pow.f64 i 4))))
(+.f64 (.f64 256 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))) (.f64 (+.f64 (/.f64 16 (.f64 i (pow.f64 i 3))) (/.f64 64 (.f64 i i))) (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 (.f64 i i) 3))))))
(.f64 (/.f64 1 (+.f64 4096 (/.f64 -64 (pow.f64 i 6)))) (+.f64 (+.f64 (/.f64 (/.f64 16 i) (pow.f64 i 3)) (/.f64 64 (.f64 i i))) 256))
(/.f64 (+.f64 (/.f64 16 (pow.f64 i 4)) (+.f64 256 (/.f64 64 (*.f64 i i)))) (+.f64 4096 (/.f64 -64 (pow.f64 i 6))))
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(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(*.f64 (sqrt.f64 (/.f64 -4 i)) (/.f64 (sqrt.f64 (/.f64 -4 i)) i))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(.f64 (cbrt.f64 (/.f64 -4 (.f64 i i))) (pow.f64 (cbrt.f64 (/.f64 -4 (*.f64 i i))) 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(.f64 (cbrt.f64 (/.f64 -4 (.f64 i i))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (/.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (/.f64 (/.f64 -4 i) i))))
(/.f64 (cbrt.f64 (/.f64 -4 (*.f64 i i))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (.f64 i i))) 2) (cbrt.f64 (/.f64 -4 (*.f64 i i))))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (.f64 (cbrt.f64 (/.f64 -4 i)) (/.f64 1 i)))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(*.f64 (/.f64 1 i) (/.f64 -4 i))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(*.f64 (/.f64 4 i) (/.f64 -1 i))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(.f64 (.f64 (/.f64 1 i) (/.f64 1 i)) -4)
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(.f64 (.f64 (sqrt.f64 (/.f64 -4 i)) (/.f64 1 i)) (sqrt.f64 (/.f64 -4 i)))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(.f64 (.f64 (cbrt.f64 (/.f64 -4 i)) (/.f64 1 i)) (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(.f64 (/.f64 -4 (.f64 i (sqrt.f64 i))) (/.f64 1 (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 (/.f64 -4 i) (sqrt.f64 i)) 1) (sqrt.f64 i))
(/.f64 (/.f64 -4 (*.f64 i (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 -4 i) (*.f64 (sqrt.f64 i) (sqrt.f64 i)))
(.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 -4 (.f64 i (sqrt.f64 i))))
(/.f64 (*.f64 (/.f64 (/.f64 -4 i) (sqrt.f64 i)) 1) (sqrt.f64 i))
(/.f64 (/.f64 -4 (*.f64 i (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 -4 i) (*.f64 (sqrt.f64 i) (sqrt.f64 i)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 -4 (.f64 i (cbrt.f64 i))))
(/.f64 (*.f64 1 (/.f64 (/.f64 -4 i) (cbrt.f64 i))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 -4 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 -4 (.f64 (pow.f64 (cbrt.f64 i) 2) (.f64 i (cbrt.f64 i))))
(.f64 (/.f64 -4 (sqrt.f64 i)) (/.f64 1 (.f64 i (sqrt.f64 i))))
(/.f64 (*.f64 (/.f64 (/.f64 -4 i) (sqrt.f64 i)) 1) (sqrt.f64 i))
(/.f64 (/.f64 -4 (*.f64 i (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 -4 i) (*.f64 (sqrt.f64 i) (sqrt.f64 i)))
(.f64 (/.f64 -4 (pow.f64 (cbrt.f64 i) 2)) (/.f64 1 (.f64 i (cbrt.f64 i))))
(/.f64 (*.f64 1 (/.f64 (/.f64 -4 i) (cbrt.f64 i))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 -4 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 -4 (.f64 (pow.f64 (cbrt.f64 i) 2) (.f64 i (cbrt.f64 i))))
(.f64 (/.f64 -4 (.f64 i (cbrt.f64 i))) (/.f64 1 (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (*.f64 1 (/.f64 (/.f64 -4 i) (cbrt.f64 i))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 -4 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 -4 (.f64 (pow.f64 (cbrt.f64 i) 2) (.f64 i (cbrt.f64 i))))
(*.f64 (/.f64 -1 i) (/.f64 4 i))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(.f64 (/.f64 1 (.f64 i i)) -4)
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(.f64 (/.f64 1 (.f64 i (sqrt.f64 i))) (/.f64 -4 (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 (/.f64 -4 i) (sqrt.f64 i)) 1) (sqrt.f64 i))
(/.f64 (/.f64 -4 (*.f64 i (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 -4 i) (*.f64 (sqrt.f64 i) (sqrt.f64 i)))
(.f64 (/.f64 1 (.f64 i (cbrt.f64 i))) (/.f64 -4 (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (*.f64 1 (/.f64 (/.f64 -4 i) (cbrt.f64 i))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 -4 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 -4 (.f64 (pow.f64 (cbrt.f64 i) 2) (.f64 i (cbrt.f64 i))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -4 i)) i) (sqrt.f64 (/.f64 -4 i)))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(*.f64 (/.f64 (sqrt.f64 (/.f64 -4 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (/.f64 -4 i)) (cbrt.f64 i)))
(/.f64 (*.f64 1 (/.f64 (/.f64 -4 i) (cbrt.f64 i))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 -4 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 -4 (.f64 (pow.f64 (cbrt.f64 i) 2) (.f64 i (cbrt.f64 i))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -4 i)) (cbrt.f64 i)) (/.f64 (sqrt.f64 (/.f64 -4 i)) (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (*.f64 1 (/.f64 (/.f64 -4 i) (cbrt.f64 i))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 -4 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 -4 (.f64 (pow.f64 (cbrt.f64 i) 2) (.f64 i (cbrt.f64 i))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -4 i)) i))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(*.f64 (/.f64 (cbrt.f64 (/.f64 -4 i)) i) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) 1))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (/.f64 -4 i)) (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 (/.f64 -4 i) (sqrt.f64 i)) 1) (sqrt.f64 i))
(/.f64 (/.f64 -4 (*.f64 i (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 -4 i) (*.f64 (sqrt.f64 i) (sqrt.f64 i)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 -4 i)) (sqrt.f64 i)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 (/.f64 -4 i) (sqrt.f64 i)) 1) (sqrt.f64 i))
(/.f64 (/.f64 -4 (*.f64 i (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 -4 i) (*.f64 (sqrt.f64 i) (sqrt.f64 i)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 -4 (.f64 i i))))
(.f64 (cbrt.f64 (/.f64 -4 (.f64 i i))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) (/.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (/.f64 (/.f64 -4 i) i))))
(/.f64 (cbrt.f64 (/.f64 -4 (*.f64 i i))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2)))
(*.f64 (/.f64 (/.f64 1 i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 -4 (cbrt.f64 i)))
(/.f64 (*.f64 1 (/.f64 (/.f64 -4 i) (cbrt.f64 i))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 -4 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 -4 (.f64 (pow.f64 (cbrt.f64 i) 2) (.f64 i (cbrt.f64 i))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2) i) (cbrt.f64 (/.f64 -4 i)))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(*.f64 (/.f64 1 (/.f64 i (pow.f64 (cbrt.f64 (/.f64 -4 i)) 2))) (cbrt.f64 (/.f64 -4 i)))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(*.f64 (/.f64 (/.f64 1 i) (neg.f64 i)) 4)
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(pow.f64 (/.f64 -4 (*.f64 i i)) 1)
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(pow.f64 (/.f64 (sqrt.f64 -4) i) 2)
(pow.f64 (cbrt.f64 (/.f64 -4 (*.f64 i i))) 3)
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(pow.f64 (.f64 i (.f64 i -1/4)) -1)
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(pow.f64 (/.f64 -64 (pow.f64 (*.f64 i i) 3)) 1/3)
(cbrt.f64 (/.f64 -64 (pow.f64 i 6)))
(neg.f64 (/.f64 4 (*.f64 i i)))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(sqrt.f64 (/.f64 16 (*.f64 i (pow.f64 i 3))))
(sqrt.f64 (/.f64 (/.f64 16 i) (pow.f64 i 3)))
(sqrt.f64 (/.f64 16 (pow.f64 i 4)))
(log.f64 (exp.f64 (/.f64 -4 (*.f64 i i))))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -4 (*.f64 i i)))))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(cbrt.f64 (/.f64 -64 (pow.f64 (*.f64 i i) 3)))
(cbrt.f64 (/.f64 -64 (pow.f64 i 6)))
(expm1.f64 (log1p.f64 (/.f64 -4 (*.f64 i i))))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(exp.f64 (log.f64 (/.f64 -4 (*.f64 i i))))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)
(log1p.f64 (expm1.f64 (/.f64 -4 (*.f64 i i))))
(/.f64 -4 (*.f64 i i))
(/.f64 (/.f64 -4 i) i)

eval119.0ms (3.9%)

Compiler: Compiled 5820 to 4589 computations (21.2% saved)

prune44.0ms (1.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	326	0	326
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	326	6	332

Accurracy

100.0%

Counts

332 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))
✓	99.7%	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
✓	99.8%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	50.6%	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
✓	48.9%	(.f64 i (.f64 i -1/4))
	51.4%	1/16

Compiler

Compiled 44 to 35 computations (20.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))
✓	99.7%	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
✓	99.8%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	50.6%	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
✓	48.9%	(.f64 i (.f64 i -1/4))
	51.4%	1/16

Compiler

Compiled 44 to 35 computations (20.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))
✓	99.7%	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
✓	99.8%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	50.6%	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
✓	48.9%	(.f64 i (.f64 i -1/4))
	51.4%	1/16

Compiler

Compiled 44 to 35 computations (20.5% saved)

regimes15.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

Inputs
1/16
(.f64 i (.f64 i -1/4))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(/.f64 1 (+.f64 16 (/.f64 (/.f64 -4 i) i)))
(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

Outputs
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

Calls

2 calls:

6.0ms	i
4.0ms	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Results

Accuracy	Segments	Branch
99.8%	1	`i`
99.8%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))`

Compiler

Compiled 113 to 71 computations (37.2% saved)

regimes8.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs
1/16
(.f64 i (.f64 i -1/4))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))

Outputs
(.f64 i (.f64 i -1/4))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch18.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.10738795671519348	44.12193227262786

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 158 to 116 computations (26.6% saved)

regimes8.0ms (0.2%)

Accuracy

Total -62.1b remaining (-7242.7%)

Threshold costs -62.1b (-7242.7%)

Counts

2 → 2

Calls

Call 1

Inputs
1/16
(.f64 i (.f64 i -1/4))

Outputs
(.f64 i (.f64 i -1/4))
1/16

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`i`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch20.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.10738795671519348	44.12193227262786

Results

19.0ms

128×

body

256

valid

Compiler

Compiled 110 to 84 computations (23.6% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
6×	`*-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	90
1	32	90
2	38	90
3	40	90
4	41	90

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(if (<=.f64 i 1/2) (.f64 i (.f64 i -1/4)) (+.f64 1/16 (/.f64 1/64 (*.f64 i i))))
(if (<=.f64 i 1/2) (.f64 i (.f64 i -1/4)) 1/16)
1/16

Outputs
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(if (<=.f64 i 1/2) (.f64 i (.f64 i -1/4)) (+.f64 1/16 (/.f64 1/64 (*.f64 i i))))
(if (<=.f64 i 1/2) (.f64 i (.f64 i -1/4)) 1/16)
1/16

Compiler

Compiled 40 to 30 computations (25% saved)

soundness99.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-/r*`
1090×	`distribute-lft-in`
1084×	`distribute-rgt-in`
834×	`associate-/r/`
810×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	43	51
2	190	33
3	1291	25
4	4152	25
5	6931	25

Stop Event

1×	node limit

Compiler

Compiled 315 to 191 computations (39.4% saved)

end31.0ms (1%)

Compiler: Compiled 37 to 26 computations (29.7% saved)

Details

analyze7.0ms (0.2%)

sample1.5s (49.4%)

preprocess58.0ms (1.9%)

simplify57.0ms (1.9%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite74.0ms (2.4%)

simplify85.0ms (2.8%)

localize17.0ms (0.6%)

series1.0ms (0%)

rewrite85.0ms (2.8%)

simplify110.0ms (3.6%)

eval188.0ms (6.1%)

prune57.0ms (1.8%)

localize4.0ms (0.1%)

localize11.0ms (0.4%)

series1.0ms (0%)

rewrite48.0ms (1.6%)

simplify44.0ms (1.4%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite69.0ms (2.2%)

simplify76.0ms (2.5%)

localize12.0ms (0.4%)

series1.0ms (0%)

rewrite72.0ms (2.3%)

simplify82.0ms (2.7%)

eval119.0ms (3.9%)

prune44.0ms (1.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes15.0ms (0.5%)

regimes8.0ms (0.3%)

bsearch18.0ms (0.6%)

regimes8.0ms (0.2%)

bsearch20.0ms (0.7%)

simplify7.0ms (0.2%)

soundness99.0ms (3.2%)

end31.0ms (1%)

Profiling