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)

sample1.1s (25.9%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess58.0ms (1.3%)

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)

simplify58.0ms (1.3%)

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%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	3	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.01%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.89%	(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
▶	0.67%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
▶	22.27%	(.f64 1/4 (/.f64 (.f64 i i) (fma.f64 i (*.f64 i 4) -1)))

Status

Error

Program

▶

46.89%

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

▶

0.67%

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

▶

22.27%

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

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 1/4 (/.f64 (.f64 i i) (fma.f64 i (*.f64 i 4) -1)))
✓	21.57%	(/.f64 (.f64 i i) (fma.f64 i (.f64 i 4) -1))

Compiler

Compiled 39 to 23 computations (41% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite86.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`associate-*r/`
1116×	`associate-/r*`
1054×	`*-commutative`
836×	`associate-/l*`
836×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	250	60
2	3016	60

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

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

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

simplify155.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1454×	`associate-/l*`
870×	`associate-/l/`
538×	`times-frac`
530×	`distribute-lft-in`
526×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	469	8452
1	1280	7948
2	6130	7808

Stop Event

1×	node limit

Counts

192 → 282

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 4 (/.f64 1 (*.f64 i i)))
✓	0.69%	(/.f64 1 (*.f64 i i))
✓	0.74%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 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	@	0	(-.f64 4 (/.f64 1 (*.f64 i i)))

rewrite82.0ms (1.9%)

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	57
1	222	39
2	2745	39

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs
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Outputs

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(+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) 1) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) (sqrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (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 64 (pow.f64 (*.f64 i i) -3)) (*.f64 (cbrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))) (cbrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (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 pow.f64 (-.f64 4 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (pow.f64 i -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (neg.f64 (+.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.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 sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 5 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 4 (pow.f64 i -2))))))))

simplify153.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1508×	`associate-/r/`
1042×	`associate-/l/`
660×	`associate-+r+`
570×	`associate-+l+`
560×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	427	7361
1	1186	6523
2	4898	6523

Stop Event

1×	node limit

Counts

205 → 270

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 -1 (pow.f64 i 2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.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)))
(+.f64 4 (neg.f64 (pow.f64 i -2)))
(+.f64 (neg.f64 (pow.f64 i -2)) 4)
(+.f64 (-.f64 4 (exp.f64 (log1p.f64 (pow.f64 i -2)))) 1)
(*.f64 1 (-.f64 4 (pow.f64 i -2)))
(*.f64 (-.f64 4 (pow.f64 i -2)) 1)
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))))))
(*.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 4 (pow.f64 i -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))))))
(*.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (/.f64 1 (+.f64 4 (pow.f64 i -2))))
(.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (/.f64 1 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(*.f64 -1 (+.f64 (pow.f64 i -2) -4))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 i -2) -4)) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 i -2) -4))))
(.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 i -2) -4)) (cbrt.f64 (+.f64 (pow.f64 i -2) -4))) (neg.f64 (cbrt.f64 (+.f64 (pow.f64 i -2) -4))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (neg.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (neg.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1 (+.f64 4 (pow.f64 i -2))) (+.f64 16 (/.f64 -1 (pow.f64 i 4))))
(.f64 (/.f64 1 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (-.f64 64 (pow.f64 (*.f64 i i) -3)))
(*.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (-.f64 4 (pow.f64 i -2)))
(.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (+.f64 64 (pow.f64 (.f64 i i) -3))) (+.f64 16 (*.f64 (pow.f64 i -2) (-.f64 (pow.f64 i -2) 4))))
(.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (-.f64 256 (.f64 (/.f64 1 (pow.f64 i 4)) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 4 (pow.f64 i -2)))))) (-.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (+.f64 4096 (pow.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) 3))) (+.f64 256 (.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) (-.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) 16))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 i -2) -4))) (sqrt.f64 (+.f64 (pow.f64 i -2) -4)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 i -2) -4)) (cbrt.f64 (+.f64 (pow.f64 i -2) -4)))) (cbrt.f64 (+.f64 (pow.f64 i -2) -4)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))) (cbrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 1 (/.f64 1 (-.f64 4 (pow.f64 i -2))))
(/.f64 (-.f64 4 (pow.f64 i -2)) 1)
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 1 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))
(/.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (/.f64 1 (cbrt.f64 (-.f64 4 (pow.f64 i -2)))))
(/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (/.f64 1 (/.f64 1 (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (/.f64 1 (/.f64 1 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))))
(/.f64 (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (/.f64 (+.f64 4 (pow.f64 i -2)) (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(/.f64 (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3))) (/.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))) (/.f64 (+.f64 4 (pow.f64 i -2)) (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3))) (cbrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (/.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (cbrt.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)))))
(/.f64 (+.f64 -16 (/.f64 1 (pow.f64 i 4))) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (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 4096 (.f64 (pow.f64 (.f64 i i) -3) (pow.f64 (.f64 i i) -3))) (.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (+.f64 64 (pow.f64 (.f64 i i) -3))))
(/.f64 (-.f64 256 (/.f64 (pow.f64 (.f64 i i) -3) (.f64 i i))) (*.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 (/.f64 1 (pow.f64 i 4)) 16)))
(/.f64 (+.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 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) (.f64 1 (+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -4 (.f64 i i))))))
(/.f64 (-.f64 262144 (pow.f64 (pow.f64 (.f64 i i) -3) 3)) (.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (+.f64 4096 (.f64 (pow.f64 (.f64 i i) -3) (+.f64 64 (pow.f64 (.f64 i i) -3))))))
(/.f64 (-.f64 4096 (pow.f64 (/.f64 1 (pow.f64 i 4)) 3)) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 256 (.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 (/.f64 1 (pow.f64 i 4)) 16)))))
(/.f64 (.f64 1 (+.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 (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 (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 (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 (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 (+.f64 -16 (/.f64 1 (pow.f64 i 4))) 1) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 (neg.f64 (-.f64 64 (pow.f64 (.f64 i i) -3))) 1) (+.f64 -16 (neg.f64 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) 1) (+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -4 (.f64 i i)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 16 (/.f64 -1 (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 (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 (-.f64 256 (/.f64 (pow.f64 (.f64 i i) -3) (*.f64 i i))) (/.f64 1 (+.f64 4 (pow.f64 i -2)))) (+.f64 (/.f64 1 (pow.f64 i 4)) 16))
(/.f64 (.f64 (-.f64 4096 (pow.f64 (/.f64 1 (pow.f64 i 4)) 3)) (/.f64 1 (+.f64 4 (pow.f64 i -2)))) (+.f64 256 (.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 (/.f64 1 (pow.f64 i 4)) 16))))
(/.f64 (.f64 (-.f64 4096 (.f64 (pow.f64 (.f64 i i) -3) (pow.f64 (.f64 i i) -3))) (/.f64 1 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (+.f64 64 (pow.f64 (.f64 i i) -3)))
(/.f64 (.f64 (-.f64 262144 (pow.f64 (pow.f64 (.f64 i i) -3) 3)) (/.f64 1 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (+.f64 4096 (.f64 (pow.f64 (.f64 i i) -3) (+.f64 64 (pow.f64 (.f64 i i) -3)))))
(/.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) 1) (+.f64 4 (pow.f64 i -2)))
(/.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (*.f64 (cbrt.f64 (+.f64 4 (pow.f64 i -2))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) 1) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (sqrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (.f64 (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))) (cbrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (neg.f64 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (neg.f64 (neg.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(pow.f64 (-.f64 4 (pow.f64 i -2)) 1)
(pow.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) 2)
(pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 3)
(pow.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3) 1/3)
(neg.f64 (+.f64 (pow.f64 i -2) -4))
(neg.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (neg.f64 (+.f64 4 (pow.f64 i -2)))))
(neg.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (+.f64 -16 (neg.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))))
(sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))
(log.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4 (pow.f64 i -2)))))
(cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3))
(expm1.f64 (log.f64 (-.f64 5 (pow.f64 i -2))))
(exp.f64 (log.f64 (-.f64 4 (pow.f64 i -2))))
(log1p.f64 (expm1.f64 (-.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)))
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)))
(+.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 1/16 (fma.f64 1/64 (pow.f64 i -2) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (fma.f64 1/64 (pow.f64 i -2) 1/16) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.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)))
(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)))
(+.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 1/16 (fma.f64 1/64 (pow.f64 i -2) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (fma.f64 1/64 (pow.f64 i -2) 1/16) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.f64 1/256 (pow.f64 i 4))))
(/.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 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (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 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (/.f64 -1 (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 1/4 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 1/4 (pow.f64 i -2) 1) (+.f64 16 (/.f64 -1 (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 (+.f64 (/.f64 1 (pow.f64 i 4)) 16) (/.f64 4 (*.f64 i i))))
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(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 16 (/.f64 4 (*.f64 i i)))))
(/.f64 (*.f64 (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 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 (sqrt.f64 (+.f64 4 (pow.f64 i -2))) (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(*.f64 (/.f64 (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 (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 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))))
(/.f64 (.f64 (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 (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))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 (*.f64 (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 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (/.f64 (cbrt.f64 (+.f64 4 (pow.f64 i -2))) (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (+.f64 4 (pow.f64 i -2)))) (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (cbrt.f64 (+.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(/.f64 (.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 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (/.f64 (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))))
(.f64 (/.f64 (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))))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(.f64 (/.f64 (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 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(/.f64 (*.f64 (+.f64 -16 (/.f64 1 (pow.f64 i 4))) 1) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (.f64 (neg.f64 (-.f64 64 (pow.f64 (.f64 i i) -3))) 1) (+.f64 -16 (neg.f64 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (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 -64 (pow.f64 (*.f64 i i) -3)) (-.f64 -16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (+.f64 (pow.f64 (*.f64 i i) -3) -64) (fma.f64 (pow.f64 i -2) (-.f64 -4 (pow.f64 i -2)) -16))
(/.f64 (.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) 1) (+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -4 (.f64 i i)))))
(/.f64 (+.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 64 (pow.f64 (pow.f64 i -2) 3)) (+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 (/.f64 4 (*.f64 i i)) 16)))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 16 (/.f64 4 (*.f64 i i)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 (sqrt.f64 (+.f64 4 (pow.f64 i -2))) (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(*.f64 (/.f64 (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 (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (sqrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))))
(/.f64 (.f64 (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 (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))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (/.f64 (cbrt.f64 (+.f64 4 (pow.f64 i -2))) (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (+.f64 4 (pow.f64 i -2)))) (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4)))) (cbrt.f64 (+.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(/.f64 (.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 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (/.f64 (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)))))
(.f64 (/.f64 (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))))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(.f64 (/.f64 (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 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(/.f64 (.f64 (-.f64 256 (/.f64 (pow.f64 (.f64 i i) -3) (*.f64 i i))) (/.f64 1 (+.f64 4 (pow.f64 i -2)))) (+.f64 (/.f64 1 (pow.f64 i 4)) 16))
(/.f64 (/.f64 (-.f64 256 (/.f64 (pow.f64 (.f64 i i) -3) (.f64 i i))) (+.f64 4 (pow.f64 i -2))) (+.f64 (/.f64 1 (pow.f64 i 4)) 16))
(/.f64 (-.f64 256 (/.f64 (pow.f64 (.f64 i i) -3) (.f64 i i))) (*.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 (/.f64 1 (pow.f64 i 4)) 16)))
(/.f64 (.f64 (-.f64 4096 (pow.f64 (/.f64 1 (pow.f64 i 4)) 3)) (/.f64 1 (+.f64 4 (pow.f64 i -2)))) (+.f64 256 (.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 (/.f64 1 (pow.f64 i 4)) 16))))
(/.f64 (/.f64 (-.f64 4096 (/.f64 1 (pow.f64 (pow.f64 i 4) 3))) (+.f64 4 (pow.f64 i -2))) (+.f64 256 (*.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 (/.f64 1 (pow.f64 i 4)) 16))))
(/.f64 (-.f64 4096 (/.f64 1 (pow.f64 (pow.f64 i 4) 3))) (*.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 256 (/.f64 (+.f64 (/.f64 1 (pow.f64 i 4)) 16) (pow.f64 i 4)))))
(/.f64 (.f64 (-.f64 4096 (.f64 (pow.f64 (.f64 i i) -3) (pow.f64 (.f64 i i) -3))) (/.f64 1 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (+.f64 64 (pow.f64 (.f64 i i) -3)))
(/.f64 (-.f64 4096 (pow.f64 (.f64 i i) -6)) (.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (+.f64 64 (pow.f64 (.f64 i i) -3))))
(/.f64 (/.f64 (-.f64 4096 (pow.f64 (.f64 i i) -6)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4)))) (+.f64 64 (pow.f64 (.f64 i i) -3)))
(/.f64 (-.f64 4096 (pow.f64 (.f64 i i) -6)) (.f64 (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16) (+.f64 64 (pow.f64 (*.f64 i i) -3))))
(/.f64 (.f64 (-.f64 262144 (pow.f64 (pow.f64 (.f64 i i) -3) 3)) (/.f64 1 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (+.f64 4096 (.f64 (pow.f64 (.f64 i i) -3) (+.f64 64 (pow.f64 (.f64 i i) -3)))))
(/.f64 (/.f64 (-.f64 262144 (pow.f64 (pow.f64 (.f64 i i) -3) 3)) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (+.f64 4096 (+.f64 (.f64 (pow.f64 (.f64 i i) -3) 64) (pow.f64 (*.f64 i i) -6))))
(/.f64 (-.f64 262144 (pow.f64 (pow.f64 (.f64 i i) -3) 3)) (.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))) (+.f64 4096 (fma.f64 64 (pow.f64 (.f64 i i) -3) (pow.f64 (.f64 i i) -6)))))
(/.f64 (-.f64 262144 (pow.f64 (pow.f64 (.f64 i i) -3) 3)) (.f64 (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16) (+.f64 4096 (fma.f64 64 (pow.f64 (.f64 i i) -3) (pow.f64 (.f64 i i) -6)))))
(/.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) 1) (+.f64 4 (pow.f64 i -2)))
(/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (*.f64 (cbrt.f64 (+.f64 4 (pow.f64 i -2))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) 1) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (sqrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (.f64 (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))) (cbrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (-.f64 64 (pow.f64 (.f64 i i) -3)) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16))
(/.f64 (neg.f64 (+.f64 -16 (/.f64 1 (pow.f64 i 4)))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (neg.f64 (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 64 (pow.f64 (.f64 i i) -3)) (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (-.f64 64 (pow.f64 (*.f64 i i) -3)) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16))
(pow.f64 (-.f64 4 (pow.f64 i -2)) 1)
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(pow.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) 2)
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 3)
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(pow.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3) 1/3)
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(neg.f64 (+.f64 (pow.f64 i -2) -4))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(neg.f64 (/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (neg.f64 (+.f64 4 (pow.f64 i -2)))))
(/.f64 (+.f64 16 (/.f64 -1 (pow.f64 i 4))) (+.f64 4 (pow.f64 i -2)))
(neg.f64 (/.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 (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 -64 (pow.f64 (*.f64 i i) -3)) (-.f64 -16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (+.f64 (pow.f64 (*.f64 i i) -3) -64) (fma.f64 (pow.f64 i -2) (-.f64 -4 (pow.f64 i -2)) -16))
(sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))
(fabs.f64 (-.f64 4 (pow.f64 i -2)))
(log.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4 (pow.f64 i -2)))))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(expm1.f64 (log.f64 (-.f64 5 (pow.f64 i -2))))
(exp.f64 (log.f64 (-.f64 4 (pow.f64 i -2))))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))
(log1p.f64 (expm1.f64 (-.f64 4 (pow.f64 i -2))))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(-.f64 4 (pow.f64 i -2))

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (.f64 4 (.f64 i i)) -1)
✓	0.03%	(.f64 4 (.f64 i i))
✓	21.57%	(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (+.f64 (.f64 4 (.f64 i i)) -1))
✓	46.04%	(/.f64 (.f64 4 (.f64 i i)) (*.f64 i i))

Compiler

Compiled 62 to 26 computations (58.1% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite101.0ms (2.3%)

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	110
1	262	62
2	4480	62

Stop Event

1×	node limit

Counts

4 → 173

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))
(+.f64 (.f64 4 (.f64 i i)) -1)

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

simplify131.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-r`
1126×	`associate-l`
948×	`associate-/r*`
944×	`times-frac`
820×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	476	7983
1	1548	7377

Stop Event

1×	node limit

Counts

221 → 271

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

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 -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 (/.f64 1/256 (pow.f64 i 4)) 1/16) (/.f64 1/64 (*.f64 i i)))
(+.f64 1/16 (+.f64 (/.f64 (/.f64 1/64 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 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 (/.f64 1/64 i) i) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6)))))
1/16
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(fma.f64 4 (*.f64 i i) -1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 16)) (cbrt.f64 (.f64 i (*.f64 i 4))) -1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 16)) (cbrt.f64 (.f64 4 (*.f64 i i))) -1)
(fma.f64 (*.f64 i 4) i -1)
(fma.f64 4 (*.f64 i i) -1)

eval441.0ms (10.2%)

Compiler: Compiled 17995 to 12543 computations (30.3% saved)

prune383.0ms (8.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	836	5	841
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	838	6	844

Error

Counts

844 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.89%	(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (.f64 (+.f64 1 (.f64 i 2)) (-.f64 (*.f64 i 2) 1)))
✓	0.67%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
▶	0.85%	(/.f64 1/4 (-.f64 4 (*.f64 (/.f64 1 i) (/.f64 1 i))))
▶	53.43%	(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
▶	46.6%	(.f64 i (.f64 i -1/4))
	52.55%	1/16

Compiler

Compiled 64 to 46 computations (28.1% saved)

localize4.0ms (0.1%)

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.14%	(/.f64 (/.f64 1/64 i) i)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/.f64 (/.f64 1/64 i) i)
0.0ms	i	@	inf	(/.f64 (/.f64 1/64 i) i)
0.0ms	i	@	-inf	(/.f64 (/.f64 1/64 i) i)

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`add-sqr-sqrt`
1350×	`*-un-lft-identity`
1278×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1250×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1719	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

858×	`associate-r`
704×	`associate-+r+`
692×	`associate-l`
630×	`associate-+l+`
614×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	624
1	287	624
2	969	624
3	4402	624

Stop Event

1×	node limit

Counts

48 → 39

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

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

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 4 (*.f64 (/.f64 1 i) (/.f64 1 i)))
✓	0.42%	(*.f64 (/.f64 1 i) (/.f64 1 i))
✓	0.74%	(/.f64 1/4 (-.f64 4 (*.f64 (/.f64 1 i) (/.f64 1 i))))

Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1440×	`associate-*r/`
846×	`*-commutative`
844×	`associate-*l/`
824×	`associate-/r*`
580×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	227	39
2	2842	39

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

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

Outputs

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simplify122.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-+r+`
610×	`distribute-lft-neg-in`
582×	`associate-r`
548×	`associate-+l+`
538×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	8247
1	1459	7575
2	6103	7565

Stop Event

1×	node limit

Counts

239 → 327

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 -1 (pow.f64 i 2))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
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(/.f64 (neg.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (neg.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) (*.f64 1 (neg.f64 (+.f64 4 (pow.f64 i -2)))))
(/.f64 (neg.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (neg.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (neg.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (.f64 1 (neg.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))))
(/.f64 (-.f64 4096 (.f64 (pow.f64 (/.f64 1 i) 6) (pow.f64 (/.f64 1 i) 6))) (.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (+.f64 64 (pow.f64 (/.f64 1 i) 6))))
(/.f64 (-.f64 256 (/.f64 (pow.f64 (/.f64 1 i) 6) (.f64 i i))) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 (/.f64 1 i) 4) 16)))
(/.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) (+.f64 16 (-.f64 (pow.f64 (/.f64 1 i) 4) (/.f64 -4 (*.f64 i i)))))
(/.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) (.f64 1 (+.f64 16 (-.f64 (pow.f64 (/.f64 1 i) 4) (/.f64 -4 (.f64 i i))))))
(/.f64 (-.f64 262144 (pow.f64 (pow.f64 (/.f64 1 i) 6) 3)) (.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (+.f64 4096 (*.f64 (pow.f64 (/.f64 1 i) 6) (+.f64 64 (pow.f64 (/.f64 1 i) 6))))))
(/.f64 (-.f64 4096 (pow.f64 (pow.f64 (/.f64 1 i) 4) 3)) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 256 (.f64 (pow.f64 (/.f64 1 i) 4) (+.f64 (pow.f64 (/.f64 1 i) 4) 16)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 1 (neg.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))) (neg.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (.f64 1 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3))) (+.f64 16 (-.f64 (pow.f64 (/.f64 1 i) 4) (/.f64 -4 (.f64 i i)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (*.f64 (neg.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) 1) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 (neg.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) 1) (neg.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) 1) (+.f64 16 (-.f64 (pow.f64 (/.f64 1 i) 4) (/.f64 -4 (.f64 i i)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (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 (cbrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 (-.f64 256 (/.f64 (pow.f64 (/.f64 1 i) 6) (.f64 i i))) (/.f64 1 (+.f64 4 (pow.f64 i -2)))) (+.f64 (pow.f64 (/.f64 1 i) 4) 16))
(/.f64 (.f64 (-.f64 4096 (pow.f64 (pow.f64 (/.f64 1 i) 4) 3)) (/.f64 1 (+.f64 4 (pow.f64 i -2)))) (+.f64 256 (.f64 (pow.f64 (/.f64 1 i) 4) (+.f64 (pow.f64 (/.f64 1 i) 4) 16))))
(/.f64 (.f64 (-.f64 4096 (.f64 (pow.f64 (/.f64 1 i) 6) (pow.f64 (/.f64 1 i) 6))) (/.f64 1 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (+.f64 64 (pow.f64 (/.f64 1 i) 6)))
(/.f64 (.f64 (-.f64 262144 (pow.f64 (pow.f64 (/.f64 1 i) 6) 3)) (/.f64 1 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (+.f64 4096 (*.f64 (pow.f64 (/.f64 1 i) 6) (+.f64 64 (pow.f64 (/.f64 1 i) 6)))))
(/.f64 (/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) 1) (+.f64 4 (pow.f64 i -2)))
(/.f64 (/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) (*.f64 (cbrt.f64 (+.f64 4 (pow.f64 i -2))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) 1) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) (.f64 (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(pow.f64 (-.f64 4 (pow.f64 i -2)) 1)
(pow.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) 2)
(pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 3)
(pow.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3) 1/3)
(neg.f64 (+.f64 (pow.f64 i -2) -4))
(sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))
(log.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4 (pow.f64 i -2)))))
(cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3))
(expm1.f64 (log1p.f64 (-.f64 4 (pow.f64 i -2))))
(exp.f64 (log.f64 (-.f64 4 (pow.f64 i -2))))
(log1p.f64 (expm1.f64 (-.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)))
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 1/256 (/.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 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 1/16 (+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/64 (*.f64 i i))))
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 1/256 (/.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 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 1/16 (+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/64 (*.f64 i i))))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (*.f64 i i))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
4
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(-.f64 4 (/.f64 1 (pow.f64 i 2)))
(-.f64 4 (/.f64 1 (*.f64 i i)))
(+.f64 4 (/.f64 -1 (*.f64 i i)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) 4) (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) (pow.f64 i -2)))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (-.f64 16 (pow.f64 (/.f64 1 i) 4)))
(/.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 (/.f64 1 i) 4))) (pow.f64 i -2)) (.f64 (/.f64 1/4 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) 4))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (-.f64 16 (pow.f64 (/.f64 1 i) 4)))
(/.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 (/.f64 1 i) 6))) 16) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (+.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 (pow.f64 i -2) 3)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) 16))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (+.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 (pow.f64 i -2) 3)))
(+.f64 (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (+.f64 (pow.f64 (/.f64 1 i) 4) 16)) (.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (*.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (+.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 (pow.f64 i -2) 3)))
(+.f64 (.f64 4 (/.f64 1/4 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))) (.f64 (pow.f64 i -2) (/.f64 1/4 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (-.f64 16 (pow.f64 (/.f64 1 i) 4)))
(/.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 (/.f64 1 i) 4)))) (.f64 4 (/.f64 1/4 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (-.f64 16 (pow.f64 (/.f64 1 i) 4)))
(/.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 (/.f64 1 i) 6)))) (.f64 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (+.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 (pow.f64 i -2) 3)))
(+.f64 (.f64 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))) (*.f64 16 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (+.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 (pow.f64 i -2) 3)))
(+.f64 (.f64 (+.f64 (pow.f64 (/.f64 1 i) 4) 16) (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))) (.f64 (*.f64 4 (pow.f64 i -2)) (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))))
(.f64 (/.f64 1/4 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (+.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 (pow.f64 i -2) 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 -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 -1/4 (+.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 -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 -1/4 (+.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)))))
(/.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 -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 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.f64 (+.f64 4 (pow.f64 i -2)) (/.f64 1/4 (-.f64 16 (pow.f64 (/.f64 1 i) 4))))
(/.f64 (*.f64 (+.f64 4 (pow.f64 i -2)) 1/4) (-.f64 16 (pow.f64 (/.f64 1 i) 4)))
(/.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)
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(/.f64 (-.f64 4096 (pow.f64 (pow.f64 i -4) 3)) (*.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))) (+.f64 64 (pow.f64 (pow.f64 i -2) 3))))
(/.f64 (-.f64 256 (/.f64 (pow.f64 (/.f64 1 i) 6) (.f64 i i))) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 (pow.f64 (/.f64 1 i) 4) 16)))
(/.f64 (-.f64 256 (/.f64 (pow.f64 (/.f64 1 i) 6) (.f64 i i))) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 16 (pow.f64 (/.f64 1 i) 4))))
(/.f64 (-.f64 256 (/.f64 (pow.f64 (pow.f64 i -2) 3) (.f64 i i))) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 16 (pow.f64 i -4))))
(/.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) (+.f64 16 (-.f64 (pow.f64 (/.f64 1 i) 4) (/.f64 -4 (*.f64 i i)))))
(/.f64 (+.f64 64 (neg.f64 (pow.f64 (pow.f64 i -2) 3))) (-.f64 (+.f64 16 (pow.f64 (/.f64 1 i) 4)) (/.f64 -4 (*.f64 i i))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (-.f64 (+.f64 16 (pow.f64 i -4)) (/.f64 -4 (*.f64 i i))))
(/.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) (.f64 1 (+.f64 16 (-.f64 (pow.f64 (/.f64 1 i) 4) (/.f64 -4 (.f64 i i))))))
(/.f64 (+.f64 64 (neg.f64 (pow.f64 (pow.f64 i -2) 3))) (-.f64 (+.f64 16 (pow.f64 (/.f64 1 i) 4)) (/.f64 -4 (*.f64 i i))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (-.f64 (+.f64 16 (pow.f64 i -4)) (/.f64 -4 (*.f64 i i))))
(/.f64 (-.f64 262144 (pow.f64 (pow.f64 (/.f64 1 i) 6) 3)) (.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (+.f64 4096 (*.f64 (pow.f64 (/.f64 1 i) 6) (+.f64 64 (pow.f64 (/.f64 1 i) 6))))))
(/.f64 (-.f64 262144 (pow.f64 (pow.f64 (/.f64 1 i) 6) 3)) (.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (+.f64 4096 (+.f64 (*.f64 64 (pow.f64 (/.f64 1 i) 6)) (pow.f64 (/.f64 1 i) 12)))))
(/.f64 (-.f64 262144 (pow.f64 (pow.f64 (pow.f64 i -2) 3) 3)) (*.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))) (+.f64 4096 (fma.f64 64 (pow.f64 (pow.f64 i -2) 3) (pow.f64 (pow.f64 i -4) 3)))))
(/.f64 (-.f64 4096 (pow.f64 (pow.f64 (/.f64 1 i) 4) 3)) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 256 (.f64 (pow.f64 (/.f64 1 i) 4) (+.f64 (pow.f64 (/.f64 1 i) 4) 16)))))
(/.f64 (/.f64 (-.f64 4096 (pow.f64 (pow.f64 (/.f64 1 i) 4) 3)) (+.f64 4 (pow.f64 i -2))) (+.f64 256 (*.f64 (pow.f64 (/.f64 1 i) 4) (+.f64 16 (pow.f64 (/.f64 1 i) 4)))))
(/.f64 (/.f64 (-.f64 4096 (pow.f64 (pow.f64 i -4) 3)) (+.f64 4 (pow.f64 i -2))) (fma.f64 (pow.f64 i -4) (+.f64 16 (pow.f64 i -4)) 256))
(/.f64 (*.f64 1 (neg.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) (+.f64 4 (pow.f64 i -2)))
(/.f64 (+.f64 -16 (pow.f64 i -4)) (-.f64 -4 (pow.f64 i -2)))
(/.f64 (.f64 1 (neg.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))) (neg.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (.f64 1 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3))) (+.f64 16 (-.f64 (pow.f64 (/.f64 1 i) 4) (/.f64 -4 (.f64 i i)))))
(/.f64 (+.f64 64 (neg.f64 (pow.f64 (pow.f64 i -2) 3))) (-.f64 (+.f64 16 (pow.f64 (/.f64 1 i) 4)) (/.f64 -4 (*.f64 i i))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (-.f64 (+.f64 16 (pow.f64 i -4)) (/.f64 -4 (*.f64 i i))))
(/.f64 (.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 (sqrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (sqrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3))) (sqrt.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 (sqrt.f64 (+.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 16 (pow.f64 i -4))) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (/.f64 (cbrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))))
(/.f64 (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 (pow.f64 i -2) 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (cbrt.f64 (-.f64 16 (pow.f64 (/.f64 1 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 16 (pow.f64 i -4))) (cbrt.f64 (+.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(/.f64 (*.f64 (neg.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) 1) (neg.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) (+.f64 4 (pow.f64 i -2)))
(/.f64 (+.f64 -16 (pow.f64 i -4)) (-.f64 -4 (pow.f64 i -2)))
(/.f64 (.f64 (neg.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) 1) (neg.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 i -2)) 3)) 1) (+.f64 16 (-.f64 (pow.f64 (/.f64 1 i) 4) (/.f64 -4 (.f64 i i)))))
(/.f64 (+.f64 64 (neg.f64 (pow.f64 (pow.f64 i -2) 3))) (-.f64 (+.f64 16 (pow.f64 (/.f64 1 i) 4)) (/.f64 -4 (*.f64 i i))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (-.f64 (+.f64 16 (pow.f64 i -4)) (/.f64 -4 (*.f64 i i))))
(/.f64 (.f64 (sqrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 (sqrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (sqrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3))) (sqrt.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (/.f64 (sqrt.f64 (+.f64 4 (pow.f64 i -2))) (sqrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 16 (pow.f64 i -4))) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6))) (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 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (/.f64 (cbrt.f64 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)))))
(/.f64 (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 (pow.f64 i -2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (cbrt.f64 (-.f64 16 (pow.f64 (/.f64 1 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 16 (pow.f64 i -4))) (cbrt.f64 (+.f64 4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))
(/.f64 (.f64 (-.f64 256 (/.f64 (pow.f64 (/.f64 1 i) 6) (.f64 i i))) (/.f64 1 (+.f64 4 (pow.f64 i -2)))) (+.f64 (pow.f64 (/.f64 1 i) 4) 16))
(/.f64 (-.f64 256 (/.f64 (pow.f64 (/.f64 1 i) 6) (.f64 i i))) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 16 (pow.f64 (/.f64 1 i) 4))))
(/.f64 (-.f64 256 (/.f64 (pow.f64 (pow.f64 i -2) 3) (.f64 i i))) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 16 (pow.f64 i -4))))
(/.f64 (.f64 (-.f64 4096 (pow.f64 (pow.f64 (/.f64 1 i) 4) 3)) (/.f64 1 (+.f64 4 (pow.f64 i -2)))) (+.f64 256 (.f64 (pow.f64 (/.f64 1 i) 4) (+.f64 (pow.f64 (/.f64 1 i) 4) 16))))
(/.f64 (/.f64 (-.f64 4096 (pow.f64 (pow.f64 (/.f64 1 i) 4) 3)) (+.f64 4 (pow.f64 i -2))) (+.f64 256 (*.f64 (pow.f64 (/.f64 1 i) 4) (+.f64 16 (pow.f64 (/.f64 1 i) 4)))))
(/.f64 (/.f64 (-.f64 4096 (pow.f64 (pow.f64 i -4) 3)) (+.f64 4 (pow.f64 i -2))) (fma.f64 (pow.f64 i -4) (+.f64 16 (pow.f64 i -4)) 256))
(/.f64 (.f64 (-.f64 4096 (.f64 (pow.f64 (/.f64 1 i) 6) (pow.f64 (/.f64 1 i) 6))) (/.f64 1 (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (+.f64 64 (pow.f64 (/.f64 1 i) 6)))
(/.f64 (-.f64 4096 (pow.f64 (/.f64 1 i) 12)) (.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (+.f64 64 (pow.f64 (/.f64 1 i) 6))))
(/.f64 (-.f64 4096 (pow.f64 (pow.f64 i -4) 3)) (*.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))) (+.f64 64 (pow.f64 (pow.f64 i -2) 3))))
(/.f64 (.f64 (-.f64 262144 (pow.f64 (pow.f64 (/.f64 1 i) 6) 3)) (/.f64 1 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (+.f64 4096 (*.f64 (pow.f64 (/.f64 1 i) 6) (+.f64 64 (pow.f64 (/.f64 1 i) 6)))))
(/.f64 (-.f64 262144 (pow.f64 (pow.f64 (/.f64 1 i) 6) 3)) (.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))) (+.f64 4096 (+.f64 (*.f64 64 (pow.f64 (/.f64 1 i) 6)) (pow.f64 (/.f64 1 i) 12)))))
(/.f64 (-.f64 262144 (pow.f64 (pow.f64 (pow.f64 i -2) 3) 3)) (*.f64 (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))) (+.f64 4096 (fma.f64 64 (pow.f64 (pow.f64 i -2) 3) (pow.f64 (pow.f64 i -4) 3)))))
(/.f64 (/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) 1) (+.f64 4 (pow.f64 i -2)))
(/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) (+.f64 4 (pow.f64 i -2)))
(/.f64 (+.f64 -16 (pow.f64 i -4)) (-.f64 -4 (pow.f64 i -2)))
(/.f64 (/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) (sqrt.f64 (+.f64 4 (pow.f64 i -2)))) (sqrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) (+.f64 4 (pow.f64 i -2)))
(/.f64 (+.f64 -16 (pow.f64 i -4)) (-.f64 -4 (pow.f64 i -2)))
(/.f64 (/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) (*.f64 (cbrt.f64 (+.f64 4 (pow.f64 i -2))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (+.f64 4 (pow.f64 i -2))))
(/.f64 (-.f64 16 (pow.f64 (/.f64 1 i) 4)) (+.f64 4 (pow.f64 i -2)))
(/.f64 (+.f64 -16 (pow.f64 i -4)) (-.f64 -4 (pow.f64 i -2)))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) 1) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))) (sqrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) (.f64 (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))) (cbrt.f64 (+.f64 16 (.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2))))))
(/.f64 (-.f64 64 (pow.f64 (/.f64 1 i) 6)) (+.f64 16 (*.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 i -2) 3)) (+.f64 16 (fma.f64 4 (pow.f64 i -2) (pow.f64 i -4))))
(pow.f64 (-.f64 4 (pow.f64 i -2)) 1)
(-.f64 4 (pow.f64 i -2))
(pow.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) 2)
(-.f64 4 (pow.f64 i -2))
(pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 3)
(-.f64 4 (pow.f64 i -2))
(pow.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3) 1/3)
(-.f64 4 (pow.f64 i -2))
(neg.f64 (+.f64 (pow.f64 i -2) -4))
(-.f64 4 (pow.f64 i -2))
(sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))
(fabs.f64 (-.f64 4 (pow.f64 i -2)))
(log.f64 (exp.f64 (-.f64 4 (pow.f64 i -2))))
(-.f64 4 (pow.f64 i -2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4 (pow.f64 i -2)))))
(-.f64 4 (pow.f64 i -2))
(cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3))
(-.f64 4 (pow.f64 i -2))
(expm1.f64 (log1p.f64 (-.f64 4 (pow.f64 i -2))))
(-.f64 4 (pow.f64 i -2))
(exp.f64 (log.f64 (-.f64 4 (pow.f64 i -2))))
(-.f64 4 (pow.f64 i -2))
(log1p.f64 (expm1.f64 (-.f64 4 (pow.f64 i -2))))
(-.f64 4 (pow.f64 i -2))

localize27.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (+.f64 1 (.f64 i 2)) (-.f64 (*.f64 i 2) 1))
	0.03%	(.f64 4 (.f64 i i))
✓	21.57%	(/.f64 (/.f64 (.f64 i i) (/.f64 (.f64 4 (.f64 i i)) (.f64 i i))) (.f64 (+.f64 1 (.f64 i 2)) (-.f64 (*.f64 i 2) 1)))
	46.04%	(/.f64 (.f64 4 (.f64 i i)) (*.f64 i i))

Compiler

Compiled 84 to 47 computations (44% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite103.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`distribute-lft-in`
410×	`times-frac`
344×	`add-sqr-sqrt`
342×	`associate-+l+`
334×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	345	56
2	5786	56

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

Outputs

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

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-+r+`
1102×	`associate-+l+`
666×	`+-commutative`
616×	`fma-def`
544×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	412	6051
1	1276	5661
2	4940	5661

Stop Event

1×	node limit

Counts

179 → 234

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

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

eval236.0ms (5.4%)

Compiler: Compiled 13372 to 9381 computations (29.8% saved)

prune94.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	618	1	619
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	619	6	625

Error

Counts

625 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.28%	(/.f64 (/.f64 (.f64 i i) 4) (.f64 (+.f64 1 (.f64 i 2)) (-.f64 (.f64 i 2) 1)))
✓	0.67%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	0.85%	(/.f64 1/4 (-.f64 4 (*.f64 (/.f64 1 i) (/.f64 1 i))))
✓	53.43%	(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
✓	46.6%	(.f64 i (.f64 i -1/4))
	52.55%	1/16

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (*.f64 i i) 4)
	0.01%	(.f64 (+.f64 1 (.f64 i 2)) (-.f64 (*.f64 i 2) 1))
✓	21.57%	(/.f64 (/.f64 (.f64 i i) 4) (.f64 (+.f64 1 (.f64 i 2)) (-.f64 (.f64 i 2) 1)))

Compiler

Compiled 54 to 38 computations (29.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`distribute-rgt-in`
1064×	`distribute-lft-in`
508×	`distribute-lft-neg-in`
476×	`distribute-rgt-neg-in`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	292	50
2	4095	50

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 (*.f64 (*.f64 i i) 4) -1)) 1) (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 (*.f64 (*.f64 i i) 4) -1)) (*.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 (*.f64 (*.f64 i i) 4) -1)) (*.f64 i 2)) (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 (*.f64 (*.f64 i i) 4) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 -1 (*.f64 8 (pow.f64 i 3)))) (fma.f64 i 2 1)) (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 -1 (*.f64 8 (pow.f64 i 3)))) (*.f64 (*.f64 i i) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 -1 (*.f64 8 (pow.f64 i 3)))) (*.f64 (*.f64 i i) 4)) (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 -1 (*.f64 8 (pow.f64 i 3)))) (fma.f64 i 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 -1 (*.f64 8 (pow.f64 i 3)))) (+.f64 1 (*.f64 (*.f64 i i) 4))) (*.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 -1 (*.f64 8 (pow.f64 i 3)))) (*.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 (*.f64 (*.f64 i i) 4) -1))) (*.f64 (*.f64 i 2) (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 (*.f64 (*.f64 i i) 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i 2) (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 (*.f64 (*.f64 i i) 4) -1))) (*.f64 1 (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) (+.f64 (*.f64 (*.f64 i i) 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 i 2 1) (/.f64 (/.f64 (*.f64 i i) (*.f64 (fma.f64 i 2 1) 4)) 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(*.f64 (/.f64 i (+.f64 (*.f64 (*.f64 i i) 4) -1)) (/.f64 i 4))))))))

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

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-/r/`
1060×	`distribute-lft-in`
1050×	`distribute-rgt-in`
514×	`associate-r`
510×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	4285
1	790	4111
2	3447	4053

Stop Event

1×	node limit

Counts

123 → 169

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

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

eval113.0ms (2.6%)

Compiler: Compiled 6711 to 4655 computations (30.6% saved)

prune69.0ms (1.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	300	0	300
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	300	6	306

Error

Counts

306 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.28%	(/.f64 (/.f64 (.f64 i i) 4) (.f64 (+.f64 1 (.f64 i 2)) (-.f64 (.f64 i 2) 1)))
✓	0.67%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	0.85%	(/.f64 1/4 (-.f64 4 (*.f64 (/.f64 1 i) (/.f64 1 i))))
✓	53.43%	(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
✓	46.6%	(.f64 i (.f64 i -1/4))
	52.55%	1/16

Compiler

Compiled 56 to 44 computations (21.4% saved)

eval0.0ms (0%)

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

prune3.0ms (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

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.28%	(/.f64 (/.f64 (.f64 i i) 4) (.f64 (+.f64 1 (.f64 i 2)) (-.f64 (.f64 i 2) 1)))
✓	0.67%	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	0.85%	(/.f64 1/4 (-.f64 4 (*.f64 (/.f64 1 i) (/.f64 1 i))))
✓	53.43%	(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
✓	46.6%	(.f64 i (.f64 i -1/4))
	52.55%	1/16

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes13.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	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

Error	Segments	Branch
0.67%	1	`i`
0.67%	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 162 to 101 computations (37.7% saved)

regimes7.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.72%	2	`i`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch60.0ms (1.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
60.0ms	9.35111300025834e-10	0.5641181846892682

Results

58.0ms

144×

body

256

valid

Compiler

Compiled 174 to 128 computations (26.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -62.4b remaining (-11550.7%)

Threshold costs -62.4b (-11550.7%)

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:

5.0ms

Results

Error	Segments	Branch
0.84%	2	`i`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	9.35111300025834e-10	0.5641181846892682

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 120 to 92 computations (23.3% saved)

simplify6.0ms (0.1%)

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	25	90
1	33	90
2	39	90
3	41	90
4	42	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 (/.f64 1/64 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 (/.f64 1/64 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)

soundness97.0ms (2.2%)

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)

end41.0ms (1%)

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

Details

analyze7.0ms (0.2%)

sample1.1s (25.9%)

preprocess58.0ms (1.3%)

simplify58.0ms (1.3%)

eval2.0ms (0%)

prune2.0ms (0%)

localize15.0ms (0.3%)

series2.0ms (0%)

rewrite86.0ms (2%)

simplify155.0ms (3.6%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite82.0ms (1.9%)

simplify153.0ms (3.5%)

localize16.0ms (0.4%)

series1.0ms (0%)

rewrite101.0ms (2.3%)

simplify131.0ms (3%)

eval441.0ms (10.2%)

prune383.0ms (8.8%)

localize4.0ms (0.1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (1.4%)

simplify52.0ms (1.2%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite87.0ms (2%)

simplify122.0ms (2.8%)

localize27.0ms (0.6%)

series2.0ms (0%)

rewrite103.0ms (2.4%)

simplify99.0ms (2.3%)

eval236.0ms (5.4%)

prune94.0ms (2.2%)

localize19.0ms (0.4%)

series1.0ms (0%)

rewrite76.0ms (1.8%)

simplify74.0ms (1.7%)

eval113.0ms (2.6%)

prune69.0ms (1.6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes13.0ms (0.3%)

regimes7.0ms (0.2%)

bsearch60.0ms (1.4%)

regimes6.0ms (0.1%)

bsearch19.0ms (0.4%)

simplify6.0ms (0.1%)

soundness97.0ms (2.2%)

end41.0ms (1%)

Profiling