Details

analyze10.0ms (0.1%)

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)

sample4.2s (20.8%)

Results

4.2s

8256×

body

256

valid

Bogosity

preprocess338.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1338×	`rational_best-simplify-49`
1264×	`rational_best-simplify-53`
846×	`rational_best-simplify-47`
828×	`rational_best-simplify-48`
824×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	37	61
2	149	61
3	817	61
4	5539	49
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 (.f64 i i) (.f64 i 2)) (/.f64 (.f64 i i) (.f64 i 2))) (+.f64 (.f64 (.f64 i 2) (.f64 i 2)) -1))
(/.f64 (.f64 (/.f64 (.f64 i i) i) (/.f64 (.f64 i i) (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
(/.f64 (/.f64 (.f64 i (.f64 i i)) (.f64 i 4)) (+.f64 (.f64 i (*.f64 i 4)) -1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify269.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1338×	`rational_best-simplify-49`
1264×	`rational_best-simplify-53`
846×	`rational_best-simplify-47`
828×	`rational_best-simplify-48`
824×	`rational_best-simplify-52`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	37	61
2	149	61
3	817	61
4	5539	49

Stop Event

1×	node limit

Counts

1 → 5

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

eval6.0ms (0%)

Compiler: Compiled 110 to 63 computations (42.7% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

18.8b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.6b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
▶	27.9b	(/.f64 (/.f64 (.f64 i (.f64 i i)) (.f64 i 4)) (+.f64 (.f64 i (*.f64 i 4)) -1))
▶	18.8b	(/.f64 (.f64 (/.f64 (.f64 i i) i) (/.f64 (.f64 i i) (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))

Status

Error

Program

▶

46.6b

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

▶

27.9b

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

▶

18.8b

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

Compiler

Compiled 62 to 38 computations (38.7% saved)

localize83.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	18.2b	(/.f64 (.f64 (/.f64 (.f64 i i) i) (/.f64 (.f64 i i) (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))
✓	31.2b	(/.f64 (*.f64 i i) i)
✓	31.2b	(/.f64 (.f64 i i) (.f64 i 4))

Compiler

Compiled 68 to 32 computations (52.9% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	i	@	0	(/.f64 (.f64 i i) (.f64 i 4))
1.0ms	i	@	0	(/.f64 (.f64 (/.f64 (.f64 i i) i) (/.f64 (.f64 i i) (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))
1.0ms	i	@	-inf	(/.f64 (.f64 i i) (.f64 i 4))
1.0ms	i	@	inf	(/.f64 (.f64 i i) (.f64 i 4))
1.0ms	i	@	inf	(/.f64 (.f64 (/.f64 (.f64 i i) i) (/.f64 (.f64 i i) (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))

rewrite255.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`rational_best-simplify-80`
720×	`rational_best-simplify-64`
638×	`rational_best-4`
638×	`rational_best-2`
638×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	93
1	104	93
2	316	69
3	1652	45

Stop Event

1×	node limit

Counts

3 → 301

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (/.f64 0 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (neg.f64 (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (/.f64 0 (/.f64 4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (/.f64 (/.f64 0 i) (/.f64 4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 0 i) (/.f64 0 (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) (/.f64 0 (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (/.f64 0 (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 0 i) (/.f64 (/.f64 0 i) (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) (/.f64 (/.f64 0 i) (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (/.f64 (/.f64 0 i) (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 i 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 i) (.f64 i 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i 8) (/.f64 i 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i 8) (+.f64 (/.f64 i 8) (/.f64 0 (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i 8) (+.f64 (/.f64 i 8) (/.f64 (/.f64 0 i) (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 4 i)) (.f64 i 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (.f64 i 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (/.f64 0 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (neg.f64 (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (/.f64 0 (/.f64 4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (/.f64 (/.f64 0 i) (/.f64 4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 0 i) (/.f64 0 (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) (/.f64 0 (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (/.f64 0 (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 0 i) (/.f64 (/.f64 0 i) (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) (/.f64 (/.f64 0 i) (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (/.f64 (/.f64 0 i) (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 0 i) (neg.f64 (/.f64 0 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (neg.f64 (/.f64 0 i)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (neg.f64 (/.f64 0 i)) (neg.f64 (/.f64 0 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (neg.f64 (/.f64 0 i)) (/.f64 0 (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (neg.f64 (/.f64 0 i)) (/.f64 (/.f64 0 i) (/.f64 4 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) (neg.f64 (/.f64 0 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (neg.f64 (/.f64 0 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 0 i) (.f64 i 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 i) (/.f64 i -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 i) (+.f64 (/.f64 i -4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 i) (+.f64 (/.f64 0 i) (/.f64 i -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 i) (+.f64 (neg.f64 (/.f64 0 i)) (/.f64 i -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 i) (+.f64 (/.f64 0 (/.f64 4 i)) (/.f64 i -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 i) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (/.f64 i -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 i 8) (/.f64 (neg.f64 i) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 i 8) (neg.f64 (/.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 i 8) (+.f64 (/.f64 0 (/.f64 4 i)) (neg.f64 (/.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 i 8) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (neg.f64 (/.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 i 8) (+.f64 (/.f64 0 i) (/.f64 (neg.f64 i) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 i 8) (+.f64 (neg.f64 (/.f64 0 i)) (/.f64 (neg.f64 i) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 i 8) (+.f64 (neg.f64 (/.f64 i 8)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 i) (/.f64 0 i)) (/.f64 i -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 i) (neg.f64 (/.f64 0 i))) (/.f64 i -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 i 8) (neg.f64 (/.f64 0 i))) (/.f64 (neg.f64 i) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 i 8) (neg.f64 (/.f64 0 i))) (neg.f64 (/.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 i) (/.f64 0 (/.f64 4 i))) (/.f64 i -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 i 8) (/.f64 0 (/.f64 4 i))) (neg.f64 (/.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 i) (/.f64 (/.f64 0 i) (/.f64 4 i))) (/.f64 i -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 i 8) (/.f64 (/.f64 0 i) (/.f64 4 i))) (neg.f64 (/.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 i (+.f64 (/.f64 0 i) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 i 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 i (.f64 1/2 (/.f64 (/.f64 i i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i i) (/.f64 1 (.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i i) (/.f64 i (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i i) (/.f64 2 (.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i 4) (.f64 (/.f64 (/.f64 i i) 2) (/.f64 i (.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i 4) (.f64 (/.f64 i (.f64 i 8)) (/.f64 (/.f64 i i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i 4) (.f64 1/8 (/.f64 (/.f64 i i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i 4) (.f64 1/2 (/.f64 i (.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i 1/4) (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 i 1/4)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 i 1/4))))) (#(struct:change #<rule egg-rr> 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Outputs

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simplify491.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational_best-simplify-55`
996×	`rational_best-simplify-50`
944×	`rational_best-simplify-1`
610×	`rational_best-simplify-47`
526×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	3367
1	1559	3145
2	6123	3013

Stop Event

1×	node limit

Counts

337 → 342

Calls

Call 1

Inputs
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
(*.f64 1/4 i)
i
i
i
i
i
i
i
i
i
i
i
i
(*.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 (*.f64 i 1/4) 0)
(+.f64 (*.f64 i 1/4) (/.f64 0 i))
(+.f64 (*.f64 i 1/4) (neg.f64 (/.f64 0 i)))
(+.f64 (*.f64 i 1/4) (/.f64 0 (/.f64 4 i)))
(+.f64 (*.f64 i 1/4) (/.f64 (/.f64 0 i) (/.f64 4 i)))
(+.f64 (*.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) 0))
(+.f64 (*.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) 0))
(+.f64 (*.f64 i 1/4) (+.f64 (/.f64 0 (/.f64 4 i)) (/.f64 0 i)))
(+.f64 (*.f64 i 1/4) (+.f64 (/.f64 (/.f64 0 i) (/.f64 4 i)) (/.f64 0 i)))
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Outputs
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(*.f64 i 1/4)
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i
i
i
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i
i
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i
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i
i
i
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1/16
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(-.f64 (-.f64 (*.f64 i 1/4) (/.f64 (neg.f64 i) 2)) (/.f64 i -4))
i
(-.f64 (-.f64 (.f64 i 1/4) (/.f64 (neg.f64 i) 2)) (/.f64 (.f64 i (neg.f64 i)) (*.f64 i 4)))
i
(-.f64 (-.f64 (/.f64 (*.f64 i 3) 8) (/.f64 (neg.f64 i) 2)) (neg.f64 (/.f64 i 8)))
(-.f64 (/.f64 (*.f64 i 3) 8) (+.f64 (neg.f64 (/.f64 i 8)) (/.f64 (neg.f64 i) 2)))
(-.f64 (/.f64 (.f64 i 3) 8) (+.f64 (.f64 i -1/8) (*.f64 i -1/2)))
(-.f64 (/.f64 (.f64 i 3) 8) (.f64 5 (*.f64 i -1/8)))
(-.f64 (-.f64 0 (/.f64 -1 (/.f64 1 i))) (/.f64 0 i))
i
(-.f64 (-.f64 i (.f64 1/2 i)) (-.f64 (.f64 1/2 i) i))
i
(*.f64 i 1)
i
(*.f64 i (/.f64 i i))
i
(.f64 (.f64 i i) (/.f64 1 i))
i
(.f64 (.f64 i i) (/.f64 (/.f64 i i) i))
i
(.f64 (.f64 i 4) (+.f64 (/.f64 0 i) 1/4))
i
(.f64 (.f64 i 4) (*.f64 1/2 (/.f64 (/.f64 i i) 2)))
i
(*.f64 1 i)
i
(*.f64 (/.f64 i i) i)
i
(.f64 (.f64 i (+.f64 i i)) (/.f64 (/.f64 i i) (+.f64 i i)))
i
(.f64 (.f64 i (+.f64 i i)) (/.f64 1 (+.f64 i i)))
i
(.f64 (.f64 i (+.f64 i i)) (*.f64 (/.f64 1 i) (/.f64 (/.f64 i i) 2)))
i
(.f64 (.f64 i (+.f64 i i)) (*.f64 (/.f64 (/.f64 i i) i) (/.f64 (/.f64 i i) 2)))
i
(*.f64 (+.f64 i i) 1/2)
i
(*.f64 (+.f64 i i) (/.f64 (/.f64 i i) 2))
i
(.f64 2 (.f64 1/2 i))
i
(.f64 (.f64 i (.f64 i 8)) (.f64 (/.f64 1 (*.f64 i 4)) (/.f64 (/.f64 i i) 2)))
(.f64 (/.f64 i (.f64 i 2)) (.f64 (/.f64 1 (.f64 i 4)) (.f64 i (.f64 i 8))))
(.f64 (.f64 i 8) 1/8)
(.f64 (.f64 i (.f64 i 8)) (.f64 (/.f64 (/.f64 i i) (*.f64 i 4)) (/.f64 (/.f64 i i) 2)))
(.f64 (/.f64 i (.f64 i 2)) (.f64 (/.f64 1 (.f64 i 4)) (.f64 i (.f64 i 8))))
(.f64 (.f64 i 8) 1/8)
(.f64 (.f64 1/2 i) 2)
i
(.f64 (.f64 1/2 i) (*.f64 (/.f64 i i) 2))
i
(*.f64 (neg.f64 i) (/.f64 i (neg.f64 i)))
i
(.f64 (neg.f64 i) (+.f64 (/.f64 i (.f64 -2 i)) (/.f64 i (*.f64 -2 i))))
i
(*.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) i))
i
(*.f64 (fabs.f64 i) (+.f64 (/.f64 (fabs.f64 i) (+.f64 i i)) (/.f64 (fabs.f64 i) (+.f64 i i))))
i
(.f64 (.f64 i (.f64 i 4)) (/.f64 1 (.f64 i 4)))
i
(.f64 (.f64 i (.f64 i 4)) (/.f64 i (.f64 i (*.f64 i 4))))
i
(.f64 (.f64 i (.f64 i 4)) (/.f64 (/.f64 i i) (.f64 i 4)))
i
(.f64 (.f64 i (.f64 i 4)) (.f64 (/.f64 (/.f64 i i) (+.f64 i i)) (/.f64 (/.f64 i i) 2)))
i
(.f64 (/.f64 1 i) (.f64 i i))
i
(.f64 (/.f64 (/.f64 i i) i) (.f64 i i))
i
(.f64 (/.f64 1 (.f64 i 4)) (.f64 i (.f64 i 4)))
i
(.f64 (/.f64 (/.f64 i i) (+.f64 i i)) (.f64 i (+.f64 i i)))
i
(*.f64 1/2 (+.f64 i i))
i
(.f64 (/.f64 1 (+.f64 i i)) (.f64 i (+.f64 i i)))
i
(*.f64 (/.f64 (/.f64 i i) 2) (+.f64 i i))
i
(.f64 (.f64 (/.f64 i i) 2) (*.f64 1/2 i))
i
(.f64 (/.f64 i (.f64 -2 i)) (*.f64 -2 i))
i
(*.f64 (/.f64 i (neg.f64 i)) (neg.f64 i))
i
(.f64 (/.f64 i (neg.f64 i)) (/.f64 (.f64 i i) (neg.f64 i)))
i
(.f64 (.f64 -2 i) (*.f64 (/.f64 i (neg.f64 i)) (/.f64 (/.f64 i i) 2)))
i
(*.f64 (/.f64 (fabs.f64 i) i) (fabs.f64 i))
i
(.f64 (/.f64 (fabs.f64 i) (+.f64 i i)) (.f64 (fabs.f64 i) 2))
i
(.f64 (/.f64 (/.f64 i i) (.f64 i 4)) (.f64 i (.f64 i 4)))
i
(.f64 (.f64 (fabs.f64 i) 2) (*.f64 (/.f64 (fabs.f64 i) i) (/.f64 (/.f64 i i) 2)))
i
(.f64 (/.f64 2 i) (.f64 i (*.f64 1/2 i)))
i
(.f64 (/.f64 2 (.f64 i 8)) (.f64 i (.f64 i 4)))
i
(*.f64 (-.f64 (neg.f64 i) (/.f64 0 i)) (/.f64 i (neg.f64 i)))
i
(.f64 (+.f64 (/.f64 i (neg.f64 i)) (/.f64 i (neg.f64 i))) (.f64 (neg.f64 i) (/.f64 (/.f64 i i) 2)))
i
(.f64 (+.f64 (/.f64 (fabs.f64 i) i) (/.f64 (fabs.f64 i) i)) (.f64 (fabs.f64 i) (/.f64 (/.f64 i i) 2)))
i
(.f64 (/.f64 i (fabs.f64 i)) (/.f64 (.f64 i i) (fabs.f64 i)))
i
(pow.f64 i 1)
i
(neg.f64 (neg.f64 i))
i
(+.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) 0)
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(+.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4)))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(+.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4))))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(+.f64 0 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(+.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4)))) (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(+.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 (.f64 i (.f64 i 8)) -2)))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) 0)
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4)))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4))))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) (+.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4)))) (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4)))))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) (+.f64 (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4))))) 0))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) (+.f64 (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4))))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) (+.f64 (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4))))) (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4)))))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(-.f64 0 (-.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4)))) (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 (/.f64 (.f64 i i) -4) (+.f64 (.f64 i (*.f64 i 8)) -2)))
(/.f64 (-.f64 (.f64 1/4 (.f64 i i)) (/.f64 (.f64 i i) -4)) (+.f64 (.f64 i (*.f64 i 8)) -2))
(/.f64 (-.f64 (.f64 i (.f64 i 1/4)) (/.f64 (.f64 i i) -4)) (+.f64 (.f64 i (*.f64 i 8)) -2))
(-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 (.f64 i (.f64 i 8)) -2)) (+.f64 (/.f64 (/.f64 (.f64 i i) -4) (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 0 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(+.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 i i)) (/.f64 (.f64 i i) -4)) (+.f64 (.f64 i (.f64 i 8)) -2)) (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(+.f64 (/.f64 0 (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 (-.f64 (.f64 i (.f64 i 1/4)) (/.f64 (.f64 i i) -4)) (+.f64 (.f64 i (*.f64 i 8)) -2)))
(+.f64 0 (/.f64 (-.f64 (.f64 i (.f64 i 1/4)) (/.f64 (.f64 i i) -4)) (+.f64 (.f64 i (*.f64 i 8)) -2)))
(-.f64 (-.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 (.f64 i (.f64 i 8)) -2)) (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4)))))) (/.f64 (/.f64 (.f64 i i) -4) (+.f64 (.f64 i (*.f64 i 8)) -2)))
(+.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 i i)) (/.f64 (.f64 i i) -4)) (+.f64 (.f64 i (.f64 i 8)) -2)) (neg.f64 (/.f64 0 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(+.f64 (/.f64 0 (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 (-.f64 (.f64 i (.f64 i 1/4)) (/.f64 (.f64 i i) -4)) (+.f64 (.f64 i (*.f64 i 8)) -2)))
(+.f64 0 (/.f64 (-.f64 (.f64 i (.f64 i 1/4)) (/.f64 (.f64 i i) -4)) (+.f64 (.f64 i (*.f64 i 8)) -2)))
(.f64 (.f64 i i) (/.f64 1 (.f64 (+.f64 -1 (.f64 i (*.f64 i 4))) 4)))
(.f64 1 (/.f64 (.f64 i i) (.f64 4 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2)))
(.f64 (.f64 i (.f64 i 1/4)) (/.f64 1 (+.f64 -1 (.f64 i (*.f64 i 4)))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (*.f64 i 4)))) 1)
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (*.f64 i 4)))))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (.f64 i (.f64 1/2 i)) (/.f64 1 (+.f64 (.f64 i (*.f64 i 8)) -2)))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i 8)) -2)) 1/2)
(.f64 1 (/.f64 (.f64 i i) (.f64 4 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2)))
(.f64 1/2 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i 8)) -2)))
(.f64 1 (/.f64 (.f64 i i) (.f64 4 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2)))
(.f64 (/.f64 1 (+.f64 -1 (.f64 i (.f64 i 4)))) (.f64 i (*.f64 i 1/4)))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (/.f64 1 (+.f64 (.f64 i (.f64 i 8)) -2)) (.f64 i (*.f64 1/2 i)))
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (/.f64 1 (.f64 (+.f64 -1 (.f64 i (.f64 i 4))) 4)) (*.f64 i i))
(.f64 1 (/.f64 (.f64 i i) (.f64 4 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2)))
(pow.f64 (/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4)))) 1)
(/.f64 (.f64 1/4 (.f64 i i)) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))

localize105.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 i (.f64 i i))
✓	8.8b	(/.f64 (.f64 i (.f64 i i)) (*.f64 i 4))
✓	18.2b	(/.f64 (/.f64 (.f64 i (.f64 i i)) (.f64 i 4)) (+.f64 (.f64 i (*.f64 i 4)) -1))

Compiler

Compiled 53 to 27 computations (49.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite373.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`rational_best-simplify-89`
942×	`rational_best-simplify-67`
774×	`rational_best-simplify-54`
632×	`rational_best-simplify-52`
542×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	94	87
2	275	87
3	1291	87

Stop Event

1×	node limit

Counts

3 → 310

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 (/.f64 1/4 i) (+.f64 (.f64 i (.f64 i 4)) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 (/.f64 1/4 i) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 (/.f64 1/4 i) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 0 (.f64 i (+.f64 (.f64 i (.f64 i 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 (/.f64 1/4 i) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 0 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 (/.f64 1/4 i) (+.f64 (.f64 i (.f64 i 4)) -1))) (neg.f64 (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 (/.f64 1/4 i) (+.f64 (.f64 i (.f64 i 4)) -1))) (neg.f64 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 i (*.f64 i i)) 2) (/.f64 (*.f64 i (*.f64 i i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 i (*.f64 i i)) 2) (+.f64 (/.f64 (*.f64 i (*.f64 i i)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 i (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 i i) (+.f64 i i)) 4) (/.f64 (*.f64 -2 (*.f64 i (*.f64 i i))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 i (*.f64 i i)) 2) (/.f64 (neg.f64 (*.f64 i (*.f64 i i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 i (*.f64 i i)) 3) 4) (/.f64 (neg.f64 (*.f64 i (*.f64 i i))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 i i) (+.f64 i i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (*.f64 i (*.f64 i 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 i 4) (*.f64 i (*.f64 i 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 i (*.f64 i 4)) (*.f64 i 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 i i)) 1)))))

simplify647.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational_best-simplify-49`
1240×	`rational_best-simplify-53`
1138×	`rational_best-simplify-55`
784×	`rational_best-simplify-50`
770×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	729	19866
1	2166	16162

Stop Event

1×	node limit

Counts

346 → 539

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))
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
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(-.f64 (/.f64 0 i) (-.f64 (/.f64 0 i) (/.f64 (*.f64 i i) 4)))
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(.f64 (.f64 i (*.f64 i i)) (/.f64 1/4 i))
(.f64 (.f64 i 4) (/.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (.f64 i 16)))
(.f64 (/.f64 (/.f64 (.f64 i i) (/.f64 4 i)) i) 1)
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(.f64 1 (/.f64 (/.f64 (.f64 i i) (/.f64 4 i)) i))
(.f64 (+.f64 (.f64 i i) (/.f64 0 i)) 1/4)
(.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (/.f64 1 (*.f64 i (/.f64 4 i))))
(.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i)) 1/2)
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(.f64 (/.f64 (.f64 i (*.f64 i i)) 4) (/.f64 1 i))
(.f64 (/.f64 (.f64 (*.f64 i i) (+.f64 i i)) i) 1/8)
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(*.f64 (+.f64 i (/.f64 0 i)) (/.f64 1 (/.f64 4 i)))
(.f64 (/.f64 (.f64 (*.f64 i i) (+.f64 i i)) 4) (/.f64 1 (+.f64 i i)))
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(.f64 1/2 (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i)))
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(.f64 1/4 (+.f64 (.f64 i i) (/.f64 0 i)))
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(.f64 1/8 (/.f64 (.f64 (*.f64 i i) (+.f64 i i)) i))
(.f64 (/.f64 1 (.f64 i 16)) (.f64 i (.f64 i (*.f64 i 4))))
(*.f64 (/.f64 1 (/.f64 4 i)) (+.f64 i (/.f64 0 i)))
(.f64 (/.f64 (.f64 i (.f64 i (.f64 i 4))) i) 1/16)
(.f64 (.f64 2 (.f64 i (.f64 i (.f64 i 4)))) (/.f64 1 (.f64 2 (*.f64 i 16))))
(*.f64 (/.f64 2 (/.f64 1 i)) (/.f64 1 (/.f64 8 i)))
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(*.f64 (/.f64 i (neg.f64 i)) (/.f64 (neg.f64 i) (/.f64 4 i)))
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(.f64 (/.f64 (+.f64 (/.f64 0 i) (/.f64 (.f64 i i) 8)) i) (/.f64 1 (/.f64 1/2 i)))
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(*.f64 (/.f64 (/.f64 (/.f64 i i) i) (/.f64 4 i)) (/.f64 1 (/.f64 (/.f64 1 i) i)))
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(.f64 (.f64 (.f64 i 4) (+.f64 i (/.f64 0 i))) (/.f64 (/.f64 1 (/.f64 4 i)) (.f64 i 4)))
(pow.f64 (/.f64 (/.f64 (*.f64 i i) (/.f64 4 i)) i) 1)
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(/.f64 (.f64 (.f64 i 4) (.f64 i (.f64 i 4))) 16)
(/.f64 (.f64 (.f64 i (.f64 i 4)) (.f64 i 4)) 16)
(pow.f64 (.f64 i (.f64 i i)) 1)

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -1 (pow.f64 i 4)))
(+.f64 (*.f64 -1/4 (pow.f64 i 2)) (neg.f64 (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))))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (+.f64 (neg.f64 (pow.f64 i 4)) (.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)))))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6))) (+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -16 (pow.f64 i 8))))
(+.f64 (neg.f64 (pow.f64 i 4)) (+.f64 (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6))) (*.f64 -16 (pow.f64 i 8))))
1/16
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(+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 1 (/.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 (/.f64 1/256 (pow.f64 i 4))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 (*.f64 1 (/.f64 1/1024 (pow.f64 i 6))) 1/16)))
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1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
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(+.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 (/.f64 1/256 (pow.f64 i 4))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 (*.f64 1 (/.f64 1/1024 (pow.f64 i 6))) 1/16)))
(+.f64 (.f64 1 (/.f64 1/256 (pow.f64 i 4))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 1/16 (*.f64 1 (/.f64 1/1024 (pow.f64 i 6))))))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) 1/4)
(*.f64 1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) 1/4)
(*.f64 1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) 1/4)
(*.f64 1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) 1/4)
(*.f64 1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) 1/4)
(*.f64 1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) 1/4)
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(/.f64 (-.f64 (/.f64 (.f64 3 (.f64 i (.f64 i i))) (.f64 i 8)) (neg.f64 (+.f64 0 (/.f64 (*.f64 i i) 8)))) (/.f64 (+.f64 i i) i))
(/.f64 (-.f64 (/.f64 (.f64 i (.f64 (.f64 i i) 3)) (.f64 i 8)) (neg.f64 (/.f64 (*.f64 i i) 8))) (/.f64 (+.f64 i i) i))
(-.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) 3) (.f64 i 16)) (/.f64 (neg.f64 (.f64 i (.f64 i i))) (*.f64 i 16)))
(/.f64 (-.f64 (.f64 3 (.f64 i (.f64 i i))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 i 16))
(/.f64 (.f64 (.f64 i (.f64 i i)) 4) (.f64 i 16))
(.f64 (.f64 i i) (/.f64 1 (*.f64 i (/.f64 4 i))))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (.f64 i (*.f64 i i)) (/.f64 1/4 i))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (.f64 i 4) (/.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (.f64 i 16)))
(.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (/.f64 (.f64 i 4) (.f64 i 16)))
(.f64 (+.f64 (.f64 i i) 0) (/.f64 (.f64 i 4) (.f64 i 16)))
(.f64 (/.f64 (/.f64 (.f64 i i) (/.f64 4 i)) i) 1)
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (/.f64 (/.f64 (.f64 i i) (/.f64 4 i)) i) (/.f64 1 (/.f64 i i)))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 1 (/.f64 (/.f64 (.f64 i i) (/.f64 4 i)) i))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (+.f64 (.f64 i i) (/.f64 0 i)) 1/4)
(.f64 1/4 (+.f64 (.f64 i i) (/.f64 0 i)))
(.f64 1/4 (+.f64 (.f64 i i) 0))
(.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (/.f64 1 (*.f64 i (/.f64 4 i))))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i)) 1/2)
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i)) (/.f64 1 (/.f64 (+.f64 i i) i)))
(.f64 1 (/.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i)) (/.f64 (+.f64 i i) i)))
(.f64 1 (/.f64 (.f64 (.f64 i i) (.f64 i (/.f64 1/2 i))) (/.f64 (+.f64 i i) i)))
(.f64 (.f64 (*.f64 i i) (+.f64 i i)) (/.f64 1/8 i))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (/.f64 (.f64 i (*.f64 i i)) 4) (/.f64 1 i))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (/.f64 (.f64 (*.f64 i i) (+.f64 i i)) i) 1/8)
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (.f64 i (.f64 i (.f64 i 4))) (/.f64 1 (*.f64 i 16)))
(.f64 1 (/.f64 (.f64 (.f64 i 4) (.f64 i i)) (*.f64 i 16)))
(.f64 i (.f64 (.f64 i (.f64 i 4)) (/.f64 1/16 i)))
(*.f64 (+.f64 i (/.f64 0 i)) (/.f64 1 (/.f64 4 i)))
(*.f64 2 (/.f64 (+.f64 i 0) (/.f64 8 i)))
(.f64 (/.f64 (.f64 (*.f64 i i) (+.f64 i i)) 4) (/.f64 1 (+.f64 i i)))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (/.f64 (.f64 i i) (/.f64 4 i)) (/.f64 1 i))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 1/2 (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i)))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (/.f64 1/4 i) (.f64 i (*.f64 i i)))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 1/4 (+.f64 (.f64 i i) (/.f64 0 i)))
(.f64 1/4 (+.f64 (.f64 i i) 0))
(.f64 (/.f64 1/8 i) (.f64 (*.f64 i i) (+.f64 i i)))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (/.f64 1 i) (/.f64 (.f64 i (*.f64 i i)) 4))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 1/8 (/.f64 (.f64 (*.f64 i i) (+.f64 i i)) i))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(.f64 (/.f64 1 (.f64 i 16)) (.f64 i (.f64 i (*.f64 i 4))))
(.f64 1 (/.f64 (.f64 (.f64 i 4) (.f64 i i)) (*.f64 i 16)))
(.f64 i (.f64 (.f64 i (.f64 i 4)) (/.f64 1/16 i)))
(*.f64 (/.f64 1 (/.f64 4 i)) (+.f64 i (/.f64 0 i)))
(*.f64 (+.f64 i (/.f64 0 i)) (/.f64 1 (/.f64 4 i)))
(*.f64 2 (/.f64 (+.f64 i 0) (/.f64 8 i)))
(.f64 (/.f64 (.f64 i (.f64 i (.f64 i 4))) i) 1/16)
(.f64 1 (/.f64 (.f64 (.f64 i 4) (.f64 i i)) (*.f64 i 16)))
(.f64 i (.f64 (.f64 i (.f64 i 4)) (/.f64 1/16 i)))
(.f64 (.f64 2 (.f64 i (.f64 i (.f64 i 4)))) (/.f64 1 (.f64 2 (*.f64 i 16))))
(.f64 (.f64 2 (.f64 (.f64 i 4) (.f64 i i))) (/.f64 1/2 (.f64 i 16)))
(.f64 2 (.f64 (.f64 (.f64 i i) (*.f64 i 4)) (/.f64 1/32 i)))
(*.f64 (/.f64 2 (/.f64 1 i)) (/.f64 1 (/.f64 8 i)))
(*.f64 1 (/.f64 (/.f64 2 (/.f64 1 i)) (/.f64 8 i)))
(*.f64 2 (/.f64 (/.f64 4 (/.f64 2 i)) (/.f64 16 i)))
(*.f64 (/.f64 i i) (/.f64 i (/.f64 4 i)))
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(*.f64 (/.f64 i (neg.f64 i)) (/.f64 (neg.f64 i) (/.f64 4 i)))
(*.f64 (neg.f64 i) (/.f64 (/.f64 i (neg.f64 i)) (/.f64 4 i)))
(*.f64 (neg.f64 i) (/.f64 (/.f64 i (/.f64 4 i)) (neg.f64 i)))
(*.f64 (/.f64 (fabs.f64 i) i) (/.f64 (fabs.f64 i) (/.f64 4 i)))
(*.f64 (fabs.f64 i) (/.f64 (/.f64 (fabs.f64 i) i) (/.f64 4 i)))
(.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (.f64 4 (/.f64 i i))))
(.f64 (/.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (*.f64 i 16)) (/.f64 1 (/.f64 1/4 i)))
(.f64 2 (/.f64 (+.f64 0 (/.f64 (.f64 i i) (*.f64 i 16))) (/.f64 1/2 i)))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 i i) (/.f64 4 i)) i) i) (+.f64 i (/.f64 0 i)))
(.f64 (+.f64 i (/.f64 0 i)) (/.f64 (/.f64 (.f64 i i) (/.f64 4 i)) (*.f64 i i)))
(.f64 (/.f64 (.f64 i i) 4) (/.f64 (+.f64 i 0) i))
(.f64 (/.f64 (+.f64 (/.f64 0 i) (/.f64 (.f64 i i) 8)) i) (/.f64 1 (/.f64 1/2 i)))
(.f64 1 (/.f64 (/.f64 (+.f64 (/.f64 0 i) (/.f64 (.f64 i i) 8)) i) (/.f64 1/2 i)))
(.f64 (/.f64 (.f64 i i) 8) (/.f64 (/.f64 4 (/.f64 2 i)) i))
(.f64 (-.f64 (/.f64 (.f64 i (.f64 i i)) (.f64 i 16)) 0) (/.f64 1 (/.f64 i (*.f64 i 4))))
(.f64 1 (/.f64 (/.f64 (.f64 i (.f64 i i)) (.f64 i 16)) (/.f64 i (*.f64 i 4))))
(.f64 1 (/.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i 16) (/.f64 i (.f64 i 4)))))
(.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i)) i) (/.f64 1 (/.f64 2 i)))
(.f64 1 (/.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i)) i) (/.f64 2 i)))
(.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 1 i)) (/.f64 1/4 (/.f64 i i)))
(*.f64 (/.f64 (/.f64 (/.f64 i i) i) (/.f64 4 i)) (/.f64 1 (/.f64 (/.f64 1 i) i)))
(.f64 1 (/.f64 (-.f64 (/.f64 i (.f64 i 4)) (/.f64 0 i)) (/.f64 (/.f64 1 i) i)))
(.f64 1 (/.f64 (/.f64 (.f64 i i) 4) (*.f64 (/.f64 1 i) i)))
(.f64 (.f64 (.f64 i 4) (.f64 i (.f64 i i))) (/.f64 (/.f64 1/4 i) (.f64 i 4)))
(.f64 (/.f64 1/4 i) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i 4))) (.f64 i 4)))
(/.f64 (/.f64 (.f64 i i) 4) (/.f64 (.f64 i 4) (*.f64 i 4)))
(.f64 (.f64 (.f64 i 4) (.f64 i (.f64 i (.f64 i 4)))) (/.f64 (/.f64 1 (.f64 i 16)) (.f64 i 4)))
(.f64 (/.f64 1 (.f64 i 16)) (/.f64 (.f64 (.f64 i 4) (.f64 (.f64 i 4) (.f64 i i))) (.f64 i 4)))
(.f64 (/.f64 1/16 i) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i 4) (.f64 i 4))) (*.f64 i 4)))
(.f64 (.f64 (.f64 i 4) (.f64 (.f64 i i) (+.f64 i i))) (/.f64 (/.f64 1/8 i) (.f64 i 4)))
(.f64 (/.f64 1/4 i) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i 4))) (.f64 i 4)))
(/.f64 (/.f64 (.f64 i i) 4) (/.f64 (.f64 i 4) (*.f64 i 4)))
(.f64 (.f64 (.f64 i 4) (/.f64 (/.f64 (.f64 i i) (/.f64 4 i)) i)) (/.f64 1/4 i))
(.f64 (/.f64 1/4 i) (.f64 (.f64 i 4) (.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))))
(.f64 1/4 (/.f64 (.f64 (.f64 i 4) (/.f64 (.f64 i i) 4)) i))
(.f64 (.f64 (.f64 i 4) (+.f64 (.f64 i i) (/.f64 0 i))) (/.f64 1/4 (*.f64 i 4)))
(.f64 (.f64 (.f64 i 4) (+.f64 (.f64 i i) (/.f64 0 i))) (/.f64 (/.f64 1/4 i) 4))
(.f64 (.f64 i 4) (.f64 (+.f64 (.f64 i i) 0) (/.f64 1/16 i)))
(.f64 (.f64 (.f64 i 4) (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i))) (/.f64 1/8 i))
(.f64 (/.f64 1/8 i) (.f64 (.f64 i 4) (.f64 (.f64 i (.f64 i i)) (/.f64 1/2 i))))
(.f64 (.f64 i 4) (.f64 (.f64 (.f64 i i) (.f64 i (/.f64 1/2 i))) (/.f64 1/8 i)))
(.f64 (.f64 (.f64 i 4) (/.f64 (.f64 i (.f64 i i)) 4)) (/.f64 (/.f64 1 i) (.f64 i 4)))
(.f64 (/.f64 1/4 i) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i 4))) (.f64 i 4)))
(/.f64 (/.f64 (.f64 i i) 4) (/.f64 (.f64 i 4) (*.f64 i 4)))
(.f64 (.f64 (.f64 i 4) (/.f64 (.f64 (.f64 i i) (+.f64 i i)) i)) (/.f64 1/8 (.f64 i 4)))
(.f64 (/.f64 1/4 i) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i 4))) (.f64 i 4)))
(/.f64 (/.f64 (.f64 i i) 4) (/.f64 (.f64 i 4) (*.f64 i 4)))
(.f64 (.f64 (.f64 i 4) (+.f64 i (/.f64 0 i))) (/.f64 (/.f64 1 (/.f64 4 i)) (.f64 i 4)))
(.f64 (/.f64 1 (/.f64 4 i)) (/.f64 (.f64 (.f64 i 4) (+.f64 i (/.f64 0 i))) (.f64 i 4)))
(.f64 (/.f64 1/4 i) (/.f64 (.f64 i (*.f64 4 (+.f64 i 0))) (/.f64 4 i)))
(pow.f64 (/.f64 (/.f64 (*.f64 i i) (/.f64 4 i)) i) 1)
(*.f64 i (/.f64 (/.f64 i i) (/.f64 4 i)))
(/.f64 (*.f64 i i) 4)
(+.f64 (.f64 i (.f64 i i)) 0)
(.f64 i (.f64 i i))
(+.f64 0 (.f64 i (.f64 i i)))
(.f64 i (.f64 i i))
(+.f64 (/.f64 (.f64 i (.f64 i i)) 2) (/.f64 (.f64 i (.f64 i i)) 2))
(.f64 i (.f64 i i))
(+.f64 (/.f64 (.f64 i (.f64 i i)) 2) (+.f64 (/.f64 (.f64 i (.f64 i i)) 2) 0))
(.f64 i (.f64 i i))
(-.f64 (.f64 i (.f64 i i)) 0)
(.f64 i (.f64 i i))
(-.f64 (/.f64 (.f64 (.f64 i i) (+.f64 i i)) 4) (/.f64 (.f64 -2 (.f64 i (*.f64 i i))) 4))
(/.f64 (-.f64 (.f64 (.f64 i i) (+.f64 i i)) (.f64 (.f64 i i) (*.f64 i -2))) 4)
(/.f64 (.f64 (.f64 i i) (-.f64 (+.f64 i i) (*.f64 i -2))) 4)
(-.f64 (/.f64 (.f64 i (.f64 i i)) 2) (/.f64 (neg.f64 (.f64 i (.f64 i i))) 2))
(.f64 i (.f64 i i))
(-.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) 3) 4) (/.f64 (neg.f64 (.f64 i (*.f64 i i))) 4))
(/.f64 (-.f64 (.f64 3 (.f64 i (.f64 i i))) (neg.f64 (.f64 i (*.f64 i i)))) 4)
(/.f64 (.f64 (.f64 i (*.f64 i i)) 4) 4)
(/.f64 (.f64 i (.f64 i i)) 1)
(.f64 i (.f64 i i))
(/.f64 (.f64 (.f64 i i) (+.f64 i i)) 2)
(.f64 i (.f64 i i))
(/.f64 (.f64 i (.f64 i (*.f64 i 4))) 4)
(/.f64 (.f64 (.f64 i 4) (*.f64 i i)) 4)
(/.f64 (.f64 (.f64 i i) (*.f64 i 4)) 4)
(/.f64 (.f64 (.f64 i 4) (.f64 i (.f64 i 4))) 16)
(/.f64 (.f64 4 (.f64 (.f64 i 4) (.f64 i i))) 16)
(/.f64 (.f64 i (.f64 (.f64 i 4) (.f64 i 4))) 16)
(/.f64 (.f64 (.f64 i (.f64 i 4)) (.f64 i 4)) 16)
(/.f64 (.f64 4 (.f64 (.f64 i 4) (.f64 i i))) 16)
(/.f64 (.f64 i (.f64 (.f64 i 4) (.f64 i 4))) 16)
(pow.f64 (.f64 i (.f64 i i)) 1)
(.f64 i (.f64 i i))

localize65.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 i i) (*.f64 i i))
✓	18.2b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
✓	42.0b	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (*.f64 i 4)))

Compiler

Compiled 63 to 29 computations (54% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite561.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`rational_best-simplify-64`
942×	`rational_best-4`
942×	`rational_best-2`
942×	`rational_best-3`
942×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	117
1	99	117
2	351	81
3	2093	81

Stop Event

1×	node limit

Counts

3 → 289

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) (/.f64 0 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) (/.f64 0 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) (neg.f64 (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) (neg.f64 (/.f64 0 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) (+.f64 (/.f64 0 (*.f64 i i)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) (+.f64 (/.f64 0 i) (/.f64 0 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (/.f64 1/4 (/.f64 1 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 i i) 4) (/.f64 0 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 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simplify916.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1374×	`rational_best-simplify-1`
920×	`rational_best-simplify-63`
722×	`rational_best-simplify-3`
680×	`rational_best-simplify-52`
578×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	12155
1	1304	11867
2	4658	10385

Stop Event

1×	node limit

Counts

325 → 385

Calls

Call 1

Inputs
(*.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 -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))))))
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(+.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) 0)
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(-.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) 0)
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(-.f64 (.f64 i (/.f64 1/4 (/.f64 1 i))) (+.f64 (neg.f64 (/.f64 0 (.f64 i i))) (/.f64 0 (*.f64 i i))))
(-.f64 (.f64 i (/.f64 1/4 (/.f64 1 i))) (+.f64 (neg.f64 (/.f64 0 (.f64 i i))) (neg.f64 (/.f64 0 (*.f64 i i)))))
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(-.f64 (.f64 (/.f64 i i) (/.f64 (.f64 i i) 8)) (+.f64 (neg.f64 (/.f64 0 (.f64 i i))) (/.f64 (neg.f64 (.f64 i (/.f64 1/4 (/.f64 1 i)))) 2)))
(-.f64 (.f64 (/.f64 i i) (/.f64 (.f64 i i) 8)) (+.f64 (neg.f64 (.f64 (/.f64 i i) (/.f64 (.f64 i i) 8))) (/.f64 0 (*.f64 i i))))
(-.f64 (.f64 (/.f64 i i) (/.f64 (.f64 i i) 8)) (+.f64 (/.f64 (neg.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i)))) 2) 0))
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(-.f64 (-.f64 (/.f64 (.f64 i i) 4) (/.f64 0 i)) (/.f64 0 (.f64 i i)))
(-.f64 (-.f64 (.f64 (/.f64 i i) (/.f64 (.f64 i i) 8)) (/.f64 0 i)) (/.f64 (neg.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i)))) 2))
(-.f64 (-.f64 (.f64 (/.f64 i i) (/.f64 (.f64 i i) 8)) (/.f64 0 i)) (neg.f64 (.f64 (/.f64 i i) (/.f64 (.f64 i i) 8))))
(-.f64 (-.f64 (/.f64 (.f64 i i) 4) (neg.f64 (/.f64 0 (.f64 i i)))) (/.f64 0 (*.f64 i i)))
(-.f64 (-.f64 (.f64 (/.f64 i i) (/.f64 (.f64 i i) 8)) (neg.f64 (/.f64 0 (.f64 i i)))) (/.f64 (neg.f64 (.f64 i (/.f64 1/4 (/.f64 1 i)))) 2))
(-.f64 (-.f64 (.f64 (/.f64 i i) (/.f64 (.f64 i i) 8)) (neg.f64 (/.f64 0 (.f64 i i)))) (neg.f64 (.f64 (/.f64 i i) (/.f64 (*.f64 i i) 8))))
(*.f64 i (/.f64 1/4 (/.f64 1 i)))
(.f64 i (/.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i 4))))
(.f64 i (.f64 (/.f64 1/4 (/.f64 1 i)) (/.f64 i i)))
(.f64 (.f64 i i) (+.f64 (/.f64 0 i) 1/4))
(.f64 (.f64 i i) (+.f64 (/.f64 (.f64 i i) (.f64 (.f64 i i) 8)) (/.f64 (.f64 i i) (.f64 (.f64 i i) 8))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 1 (.f64 i (.f64 i 4))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 2 (.f64 (.f64 i i) 8)))
(.f64 (.f64 i (/.f64 1/4 (/.f64 1 i))) 1)
(.f64 (.f64 i (/.f64 1/4 (/.f64 1 i))) (/.f64 i i))
(.f64 1 (.f64 i (/.f64 1/4 (/.f64 1 i))))
(.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (/.f64 1 (*.f64 i 4)))
(*.f64 (+.f64 i (/.f64 0 i)) (/.f64 1/4 (/.f64 1 i)))
(*.f64 (+.f64 i (/.f64 0 i)) (/.f64 i 4))
(*.f64 (/.f64 1/4 (/.f64 1 i)) i)
(*.f64 (/.f64 1/4 (/.f64 1 i)) (+.f64 i (/.f64 0 i)))
(.f64 (.f64 i (.f64 (.f64 i i) (+.f64 i i))) (/.f64 1 (.f64 (.f64 i i) 8)))
(.f64 (.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) 2) 1/2)
(.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 4) (/.f64 1 (*.f64 i i)))
(.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (+.f64 (/.f64 0 i) 1/4))
(.f64 (+.f64 (.f64 i i) (/.f64 0 i)) 1/4)
(.f64 (.f64 (*.f64 i i) (/.f64 1/4 (/.f64 1 i))) (/.f64 1 i))
(.f64 (/.f64 (.f64 i i) 4) (/.f64 i i))
(.f64 (.f64 i (+.f64 i i)) (/.f64 (+.f64 i (/.f64 0 i)) (*.f64 i 8)))
(.f64 (.f64 i (+.f64 i i)) (/.f64 (/.f64 1/4 (/.f64 1 i)) (+.f64 i i)))
(.f64 (.f64 i (+.f64 i i)) (/.f64 (+.f64 (/.f64 0 i) 1/4) 2))
(.f64 (.f64 (.f64 i i) (/.f64 4 (/.f64 2 i))) (/.f64 1 (.f64 i 8)))
(.f64 (.f64 (.f64 i i) (.f64 i (.f64 i 4))) (/.f64 1 (.f64 (*.f64 i i) 16)))
(.f64 (/.f64 i i) (.f64 i (/.f64 1/4 (/.f64 1 i))))
(.f64 (/.f64 i i) (/.f64 (.f64 i i) 4))
(.f64 (/.f64 i i) (/.f64 1 (/.f64 4 (.f64 i i))))
(*.f64 (neg.f64 i) (/.f64 (+.f64 i (/.f64 0 i)) -4))
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(.f64 1 (/.f64 (.f64 i (/.f64 1/4 (/.f64 1 i))) (+.f64 (.f64 i (.f64 i 4)) -1)))
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(.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 1 (*.f64 i i)))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (+.f64 (.f64 i (.f64 i 4)) -1)) 4) (/.f64 1 i))
(.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (/.f64 1 (.f64 4 (+.f64 (.f64 i (*.f64 i 4)) -1))))
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(.f64 (/.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (+.f64 (.f64 (.f64 i i) 8) -2)) 1/2)
(.f64 (/.f64 1 i) (/.f64 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (+.f64 (.f64 i (.f64 i 4)) -1)) 4))
(.f64 (/.f64 1 (.f64 i 4)) (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (+.f64 (.f64 i (*.f64 i 4)) -1)))
(.f64 1/2 (/.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (+.f64 (.f64 (.f64 i i) 8) -2)))
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(.f64 (/.f64 1 (.f64 (.f64 i (.f64 i 4)) (+.f64 (.f64 (.f64 i i) 8) -2))) (.f64 i (.f64 (*.f64 i i) (+.f64 i i))))
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(.f64 (.f64 -1 (+.f64 (/.f64 0 i) 1/4)) (/.f64 (.f64 i i) (+.f64 1 (/.f64 (.f64 i i) -1/4))))
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(.f64 (/.f64 (.f64 i (neg.f64 i)) (.f64 i (.f64 (.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1)))) (.f64 i (neg.f64 i)))
(pow.f64 (/.f64 (.f64 i (/.f64 1/4 (/.f64 1 i))) (+.f64 (.f64 i (*.f64 i 4)) -1)) 1)
(+.f64 (.f64 i (.f64 i (*.f64 i i))) 0)
(+.f64 0 (.f64 i (.f64 i (*.f64 i i))))
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(+.f64 (fabs.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 2)) (fabs.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 2)))
(-.f64 (.f64 i (.f64 i (*.f64 i i))) 0)
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(/.f64 (.f64 i (.f64 i (*.f64 i i))) 1)
(/.f64 (.f64 i (.f64 (*.f64 i i) (+.f64 i i))) 2)
(/.f64 (.f64 (.f64 i i) (*.f64 i (neg.f64 i))) -1)
(/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i 4))) 4)
(pow.f64 (.f64 i (.f64 i (*.f64 i i))) 1)
(fabs.f64 (.f64 i (.f64 i (*.f64 i i))))
(fabs.f64 (.f64 (.f64 i i) (*.f64 i (neg.f64 i))))

Outputs
(*.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 -1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) -1/4)
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
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(.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (/.f64 1 (.f64 (.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1))))
(.f64 1 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 (/.f64 1/4 i) (.f64 (/.f64 1 i) (+.f64 -1 (.f64 i (*.f64 i 4))))))
(/.f64 (.f64 i (.f64 (neg.f64 i) -1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (.f64 i (.f64 (.f64 i i) (+.f64 i i))) (/.f64 1 (.f64 (.f64 i (.f64 i 4)) (+.f64 (.f64 (*.f64 i i) 8) -2))))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (.f64 (.f64 i (/.f64 1/4 (/.f64 1 i))) 2) (/.f64 1 (+.f64 (.f64 (*.f64 i i) 8) -2)))
(/.f64 (.f64 1/4 (/.f64 i (/.f64 1 i))) (+.f64 -1 (.f64 i (*.f64 i 4))))
(.f64 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 1 (*.f64 i 4)))
(.f64 1 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 (/.f64 1/4 i) (.f64 (/.f64 1 i) (+.f64 -1 (.f64 i (*.f64 i 4))))))
(/.f64 (.f64 i (.f64 (neg.f64 i) -1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (/.f64 (.f64 i (.f64 (.f64 i i) (+.f64 i i))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 1 (.f64 (.f64 i i) 8)))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 1 (*.f64 i i)))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (+.f64 (.f64 i (.f64 i 4)) -1)) 4) (/.f64 1 i))
(.f64 1 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 (/.f64 1/4 i) (.f64 (/.f64 1 i) (+.f64 -1 (.f64 i (*.f64 i 4))))))
(/.f64 (.f64 i (.f64 (neg.f64 i) -1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (/.f64 1 (.f64 4 (+.f64 (.f64 i (*.f64 i 4)) -1))))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (.f64 i (neg.f64 i)) (/.f64 (.f64 i (neg.f64 i)) (.f64 i (.f64 (.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1)))))
(.f64 (.f64 i (neg.f64 i)) (/.f64 (.f64 i (neg.f64 i)) (.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (.f64 i (.f64 i 4)))))
(.f64 (.f64 i (neg.f64 i)) (/.f64 (.f64 i (neg.f64 i)) (.f64 (.f64 i (.f64 i 4)) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (neg.f64 i) (.f64 i (+.f64 0 (/.f64 (neg.f64 i) (.f64 4 (.f64 i (+.f64 -1 (.f64 i (.f64 i 4)))))))))
(.f64 (.f64 i (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1))) (+.f64 (/.f64 0 i) 1/4))
(.f64 (+.f64 1/4 (/.f64 0 i)) (/.f64 (.f64 i i) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 i (.f64 i (/.f64 (+.f64 1/4 (/.f64 0 i)) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 1/2 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i 8)) -2)))
(.f64 (+.f64 (/.f64 0 i) 1/4) (.f64 i (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1))))
(.f64 (+.f64 1/4 (/.f64 0 i)) (/.f64 (.f64 i i) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 i (.f64 i (/.f64 (+.f64 1/4 (/.f64 0 i)) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 1/2 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i 8)) -2)))
(.f64 (/.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (+.f64 (.f64 (.f64 i i) 8) -2)) 1/2)
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 1 i) (/.f64 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (+.f64 (.f64 i (.f64 i 4)) -1)) 4))
(.f64 1 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 (/.f64 1/4 i) (.f64 (/.f64 1 i) (+.f64 -1 (.f64 i (*.f64 i 4))))))
(/.f64 (.f64 i (.f64 (neg.f64 i) -1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (/.f64 1 (.f64 i 4)) (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (+.f64 (.f64 i (*.f64 i 4)) -1)))
(.f64 1 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 (/.f64 1/4 i) (.f64 (/.f64 1 i) (+.f64 -1 (.f64 i (*.f64 i 4))))))
(/.f64 (.f64 i (.f64 (neg.f64 i) -1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/2 (/.f64 (+.f64 (.f64 i i) (/.f64 0 i)) (+.f64 (.f64 (.f64 i i) 8) -2)))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 1 (.f64 i (.f64 i 4))) (.f64 (.f64 i i) (.f64 i (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1)))))
(.f64 (/.f64 1 (.f64 i (.f64 i 4))) (.f64 (.f64 i i) (.f64 i (/.f64 i (+.f64 -1 (.f64 i (.f64 i 4)))))))
(.f64 (.f64 i i) (.f64 (.f64 i (/.f64 i (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 1/4 (*.f64 i i))))
(.f64 (/.f64 1/4 (.f64 i i)) (.f64 (.f64 i (.f64 i i)) (/.f64 i (+.f64 -1 (.f64 i (*.f64 i 4))))))
(.f64 (/.f64 1 (.f64 (.f64 i i) 8)) (/.f64 (.f64 i (.f64 (.f64 i i) (+.f64 i i))) (+.f64 (.f64 i (.f64 i 4)) -1)))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 1 (.f64 i i)) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 4) (+.f64 (.f64 i (*.f64 i 4)) -1)))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 1 (.f64 i (.f64 (.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1)))) (.f64 i (.f64 i (*.f64 i i))))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 1 (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 i (/.f64 1/4 (/.f64 1 i))))
(/.f64 (.f64 1/4 (/.f64 i (/.f64 1 i))) (+.f64 -1 (.f64 i (*.f64 i 4))))
(.f64 (/.f64 1 (.f64 (.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 (.f64 i i) (/.f64 1 i)))
(.f64 1 (/.f64 (/.f64 (.f64 i i) (/.f64 1 i)) (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (.f64 i i) (/.f64 (/.f64 1/4 i) (.f64 (/.f64 1 i) (+.f64 -1 (.f64 i (*.f64 i 4))))))
(/.f64 (.f64 i (.f64 (neg.f64 i) -1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 (/.f64 1 (.f64 (.f64 i (.f64 i 4)) (+.f64 (.f64 (.f64 i i) 8) -2))) (.f64 i (.f64 (*.f64 i i) (+.f64 i i))))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 i i) 8) -2)) (.f64 (*.f64 i (/.f64 1/4 (/.f64 1 i))) 2))
(/.f64 (.f64 1/4 (/.f64 i (/.f64 1 i))) (+.f64 -1 (.f64 i (*.f64 i 4))))
(.f64 (/.f64 1 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1))) (+.f64 (*.f64 i i) (/.f64 0 i)))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 (+.f64 (/.f64 0 i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 i i))
(.f64 (+.f64 1/4 (/.f64 0 i)) (/.f64 (.f64 i i) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 i (.f64 i (/.f64 (+.f64 1/4 (/.f64 0 i)) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 1/2 (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i 8)) -2)))
(.f64 (/.f64 (.f64 i i) (+.f64 1 (/.f64 (.f64 i i) -1/4))) (.f64 -1 (+.f64 (/.f64 0 i) 1/4)))
(.f64 (.f64 i i) (/.f64 (.f64 -1 (+.f64 1/4 (/.f64 0 i))) (+.f64 1 (/.f64 (.f64 i i) -1/4))))
(.f64 (.f64 i i) (/.f64 (neg.f64 (+.f64 1/4 (/.f64 0 i))) (+.f64 1 (/.f64 (*.f64 i i) -1/4))))
(.f64 (.f64 i i) (/.f64 -1/4 (+.f64 1 (/.f64 (*.f64 i i) -1/4))))
(.f64 (.f64 -1 (+.f64 (/.f64 0 i) 1/4)) (/.f64 (.f64 i i) (+.f64 1 (/.f64 (.f64 i i) -1/4))))
(.f64 (.f64 i i) (/.f64 (.f64 -1 (+.f64 1/4 (/.f64 0 i))) (+.f64 1 (/.f64 (.f64 i i) -1/4))))
(.f64 (.f64 i i) (/.f64 (neg.f64 (+.f64 1/4 (/.f64 0 i))) (+.f64 1 (/.f64 (*.f64 i i) -1/4))))
(.f64 (.f64 i i) (/.f64 -1/4 (+.f64 1 (/.f64 (*.f64 i i) -1/4))))
(.f64 (/.f64 (.f64 i i) (.f64 i (.f64 (.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1)))) (.f64 i i))
(.f64 i (.f64 i (+.f64 (/.f64 i (.f64 (.f64 i 4) (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 0 i))))
(/.f64 (+.f64 (/.f64 0 (.f64 i i)) (/.f64 (.f64 i i) 4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 1/4 (/.f64 (+.f64 (.f64 i i) 0) (+.f64 -1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 (.f64 i (neg.f64 i)) (.f64 i (.f64 (.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1)))) (.f64 i (neg.f64 i)))
(.f64 (.f64 i (neg.f64 i)) (/.f64 (.f64 i (neg.f64 i)) (.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (.f64 i (.f64 i 4)))))
(.f64 (.f64 i (neg.f64 i)) (/.f64 (.f64 i (neg.f64 i)) (.f64 (.f64 i (.f64 i 4)) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (neg.f64 i) (.f64 i (+.f64 0 (/.f64 (neg.f64 i) (.f64 4 (.f64 i (+.f64 -1 (.f64 i (.f64 i 4)))))))))
(pow.f64 (/.f64 (.f64 i (/.f64 1/4 (/.f64 1 i))) (+.f64 (.f64 i (*.f64 i 4)) -1)) 1)
(/.f64 (.f64 1/4 (/.f64 i (/.f64 1 i))) (+.f64 -1 (.f64 i (*.f64 i 4))))
(+.f64 (.f64 i (.f64 i (*.f64 i i))) 0)
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(+.f64 0 (.f64 i (.f64 i (*.f64 i i))))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(+.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 2) (/.f64 (.f64 i (.f64 i (.f64 i i))) 2))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(+.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 2) (+.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 2) 0))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(+.f64 (fabs.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 2)) (fabs.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 2)))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(-.f64 (.f64 i (.f64 i (*.f64 i i))) 0)
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(-.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) 2) (/.f64 (.f64 (.f64 i i) (.f64 i (neg.f64 i))) 2))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(/.f64 (.f64 i (.f64 i (*.f64 i i))) 1)
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(/.f64 (.f64 i (.f64 (*.f64 i i) (+.f64 i i))) 2)
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(/.f64 (.f64 (.f64 i i) (*.f64 i (neg.f64 i))) -1)
(neg.f64 (.f64 (neg.f64 i) (.f64 i (*.f64 i i))))
(neg.f64 (.f64 (.f64 i (*.f64 i i)) (neg.f64 i)))
(/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i 4))) 4)
(/.f64 (.f64 i (.f64 i (.f64 i (.f64 i 4)))) 4)
(pow.f64 (.f64 i (.f64 i (*.f64 i i))) 1)
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(fabs.f64 (.f64 i (.f64 i (*.f64 i i))))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(fabs.f64 (.f64 (.f64 i i) (*.f64 i (neg.f64 i))))
(fabs.f64 (.f64 (neg.f64 i) (.f64 i (*.f64 i i))))
(.f64 (.f64 i i) (fabs.f64 (*.f64 i (neg.f64 i))))

eval2.4s (11.8%)

Compiler: Compiled 34796 to 22094 computations (36.5% saved)

prune1.1s (5.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1263	3	1266
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1266	3	1269

Error

Counts

1269 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.8b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))
▶	19.2b	(/.f64 (/.f64 1/4 (/.f64 (/.f64 1 i) i)) (+.f64 (.f64 i (.f64 i 4)) -1))
	27.8b	1/16

Compiler

Compiled 32 to 24 computations (25% saved)

localize72.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 i) i)
✓	0.4b	(/.f64 1/4 (/.f64 (/.f64 1 i) i))
✓	18.2b	(/.f64 (/.f64 1/4 (/.f64 (/.f64 1 i) i)) (+.f64 (.f64 i (.f64 i 4)) -1))

Compiler

Compiled 51 to 36 computations (29.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite574.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`rational_best-simplify-3`
680×	`rational_best-simplify-53`
664×	`rational_best-simplify-49`
510×	`rational_best-simplify-65`
442×	`rational_best-simplify-60`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	109	69
2	275	69
3	964	57
4	6041	51

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 i i)) (/.f64 1/2 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (+.f64 (*.f64 i (*.f64 i 4)) -1)) (/.f64 (/.f64 -1 (*.f64 i i)) (+.f64 (*.f64 i (*.f64 i 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 i) (*.f64 i 4)) (/.f64 (/.f64 3 i) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 (*.f64 i i)) 4) (/.f64 (/.f64 3 (*.f64 i i)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/2 (*.f64 i i)) 2) (/.f64 (/.f64 (/.f64 3 (*.f64 i i)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -1 (*.f64 i i)) (+.f64 (*.f64 i (*.f64 i 4)) -1)) (/.f64 4 (+.f64 (*.f64 i (*.f64 i 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 3 (*.f64 i i)) 2) 2) (/.f64 (/.f64 1/2 (*.f64 i i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 3 i) (*.f64 i 4)) (/.f64 (/.f64 1 i) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 3 (*.f64 i i)) 4) (/.f64 (/.f64 1 (*.f64 i i)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fabs.f64 (/.f64 1/2 (*.f64 i i))) (fabs.f64 (/.f64 1/2 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (*.f64 i i)) (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (*.f64 i i)) (/.f64 (neg.f64 (/.f64 1/2 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 (*.f64 i (*.f64 i 4)) -1)) (/.f64 1 (*.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 i 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (/.f64 3 (*.f64 i i)) 2) 2) (/.f64 (/.f64 (neg.f64 (/.f64 1/2 i)) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (/.f64 3 (*.f64 i i)) 2) 2) (+.f64 (/.f64 (/.f64 (neg.f64 (/.f64 1/2 i)) i) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3 i) (*.f64 i 4)) (/.f64 (/.f64 -1 i) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3 i) (*.f64 i 4)) (+.f64 (/.f64 (/.f64 -1 i) (*.f64 i 4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3 (*.f64 i i)) 4) (/.f64 (/.f64 -1 (*.f64 i i)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3 (*.f64 i i)) 4) (+.f64 (/.f64 (/.f64 -1 (*.f64 i i)) 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 1 (*.f64 (*.f64 i i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (-.f64 (/.f64 2 i) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 2 (*.f64 i (*.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 i (*.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 i) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1/2 i) (/.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1/4 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 1/2 (*.f64 i i)) (/.f64 2 (*.f64 i (*.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 1/2 (*.f64 i i)) (/.f64 1 (*.f64 i (*.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 1/2 (*.f64 i i)) (/.f64 (/.f64 1 i) (*.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 1/2 (*.f64 i i)) (*.f64 (/.f64 1/2 i) (/.f64 1/2 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 i (*.f64 i 4)) -1) (/.f64 1 (*.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 i 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 i i) (/.f64 (/.f64 1/2 (*.f64 i i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 4 (*.f64 i i)) (/.f64 2 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 i i)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 i) (/.f64 1/2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 i) (*.f64 1 (/.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 i) (-.f64 (/.f64 1 i) (/.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 i) (-.f64 (/.f64 1 i) (*.f64 1 (/.f64 1/2 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 i) (/.f64 -1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 i) (-.f64 (/.f64 2 (neg.f64 i)) (/.f64 -1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 i i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (/.f64 1/4 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (*.f64 1/2 (/.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (-.f64 (/.f64 1/2 i) (/.f64 1/4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (-.f64 (/.f64 1/2 i) (*.f64 1/2 (/.f64 1/2 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 i i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 i i)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (neg.f64 (/.f64 1/2 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 i) (/.f64 4 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 i) (-.f64 (/.f64 8 i) (/.f64 4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 i)) (/.f64 -1 (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (/.f64 1 i) (*.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 1/4 i) (/.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 i) (/.f64 1 (*.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 i) (-.f64 (/.f64 1/4 i) (/.f64 1 (*.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 i) (/.f64 2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 i) (-.f64 (/.f64 4 i) (/.f64 2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 i i) i)) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (*.f64 i i) i)) (/.f64 1 (/.f64 2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (/.f64 2 i)) (/.f64 1/2 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (/.f64 1 (*.f64 i i))) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (/.f64 2 (*.f64 i i))) (/.f64 1/2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 i (/.f64 2 i)) -1) (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (*.f64 i i)))))))

simplify483.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational_best-simplify-63`
924×	`rational_best-simplify-51`
890×	`rational_best-simplify-52`
886×	`rational_best-simplify-48`
674×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	6980
1	1097	6442
2	3820	6090

Stop Event

1×	node limit

Counts

222 → 267

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 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(/.f64 1 (pow.f64 i 2))
(+.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 0)
(+.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) (/.f64 0 (/.f64 1/2 (.f64 i i))))
(+.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) (+.f64 (/.f64 0 (/.f64 1/2 (.f64 i i))) (/.f64 0 (/.f64 1/2 (*.f64 i i)))))
(+.f64 0 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))))
(+.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(+.f64 (/.f64 0 (/.f64 1/2 (.f64 i i))) (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(+.f64 (+.f64 (/.f64 0 (/.f64 1/2 (.f64 i i))) (/.f64 0 (/.f64 1/2 (.f64 i i)))) (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))))
(+.f64 (/.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) 2) (/.f64 (/.f64 3/4 (-.f64 8 (/.f64 2 (.f64 i i)))) 2))
(+.f64 (/.f64 (/.f64 3/4 (-.f64 8 (/.f64 2 (.f64 i i)))) 2) (/.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) 2))
(+.f64 (/.f64 (.f64 1/4 (.f64 i i)) (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) 4)) (/.f64 (.f64 (.f64 i i) 3/4) (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) 4)))
(+.f64 (/.f64 (.f64 (.f64 i i) 3/4) (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) 4)) (/.f64 (.f64 1/4 (.f64 i i)) (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) 4)))
(-.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 0)
(-.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) (/.f64 0 (/.f64 1/2 (.f64 i i))))
(-.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) (+.f64 (/.f64 0 (/.f64 1/2 (.f64 i i))) (/.f64 0 (/.f64 1/2 (*.f64 i i)))))
(-.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) (neg.f64 (/.f64 0 (/.f64 1/2 (.f64 i i)))))
(-.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) (+.f64 (+.f64 (/.f64 0 (/.f64 1/2 (.f64 i i))) (/.f64 0 (/.f64 1/2 (*.f64 i i)))) 0))
(-.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) (+.f64 (neg.f64 (/.f64 0 (/.f64 1/2 (.f64 i i)))) 0))
(-.f64 0 (neg.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))))
(-.f64 0 (/.f64 -1 (.f64 4 (+.f64 4 (/.f64 -1 (.f64 i i))))))
(-.f64 0 (+.f64 (/.f64 -1 (.f64 4 (+.f64 4 (/.f64 -1 (.f64 i i))))) 0))
(-.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) (neg.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i))))))
(-.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) (-.f64 (/.f64 0 (/.f64 1/2 (.f64 i i))) (/.f64 1/8 (+.f64 4 (/.f64 -1 (*.f64 i i))))))
(-.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) (/.f64 (neg.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i))))) 2))
(-.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) (/.f64 (neg.f64 (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))) (/.f64 2 (.f64 i i))))
(-.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) (+.f64 (-.f64 (/.f64 0 (/.f64 1/2 (.f64 i i))) (/.f64 1/8 (+.f64 4 (/.f64 -1 (*.f64 i i))))) 0))
(-.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) (+.f64 (/.f64 (neg.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i))))) 2) 0))
(-.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i)))) (+.f64 (/.f64 (neg.f64 (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))) (/.f64 2 (.f64 i i))) 0))
(-.f64 (/.f64 1/2 (+.f64 4 (/.f64 -1 (.f64 i i)))) (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(-.f64 (/.f64 (/.f64 3/4 (-.f64 8 (/.f64 2 (.f64 i i)))) 2) (/.f64 (neg.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i))))) 2))
(-.f64 (/.f64 (/.f64 3/4 (-.f64 8 (/.f64 2 (.f64 i i)))) 2) (+.f64 (/.f64 (neg.f64 (/.f64 1/8 (+.f64 4 (/.f64 -1 (.f64 i i))))) 2) 0))
(-.f64 (/.f64 (.f64 (.f64 i i) 3/4) (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) 4)) (/.f64 (/.f64 (.f64 i i) -4) (.f64 (+.f64 (.f64 i (*.f64 i 4)) -1) 4)))
(-.f64 (/.f64 (.f64 (.f64 i i) 3/4) (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) 4)) (+.f64 (/.f64 (/.f64 (.f64 i i) -4) (.f64 (+.f64 (.f64 i (*.f64 i 4)) -1) 4)) 0))
(.f64 1/4 (/.f64 1 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(.f64 1 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(.f64 i (/.f64 (/.f64 1/2 (+.f64 (.f64 i (*.f64 i 8)) -2)) (/.f64 1 i)))
(.f64 i (-.f64 (/.f64 (/.f64 1 (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 1 i)) (/.f64 (/.f64 1/2 (+.f64 (.f64 i (*.f64 i 8)) -2)) (/.f64 1 i))))
(.f64 (.f64 1/4 (.f64 i i)) (/.f64 2 (+.f64 (.f64 i (*.f64 i 8)) -2)))
(.f64 4 (.f64 (.f64 1/4 (.f64 i i)) (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))))
(.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 1/4 (.f64 (+.f64 4 (/.f64 -1 (.f64 i i))) (+.f64 (.f64 i (*.f64 i 4)) -1))))
(.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) 1)
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(.f64 (/.f64 1 (+.f64 4 (/.f64 -1 (.f64 i i)))) 1/4)
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(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (.f64 i i)) (/.f64 (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2)) (+.f64 (.f64 i (*.f64 i 4)) -1)))
(.f64 (+.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 4 (+.f64 (.f64 i (.f64 i 8)) -2))) -1) (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))))
(.f64 (+.f64 (/.f64 (/.f64 2 (.f64 i i)) (/.f64 1 (.f64 i i))) -1) (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1)
(neg.f64 (neg.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))))
(+.f64 (.f64 1/4 (.f64 i i)) 0)
(+.f64 0 (.f64 1/4 (.f64 i i)))
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(+.f64 (/.f64 (.f64 1/4 (.f64 i i)) 4) (/.f64 (.f64 (.f64 i i) 3/4) 4))
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(.f64 1/4 (.f64 i i))
(.f64 1 (.f64 1/4 (*.f64 i i)))
(.f64 (.f64 1/4 (*.f64 i i)) 1)
(.f64 (.f64 i i) 1/4)
(.f64 (.f64 (*.f64 i i) 1/2) 1/2)
(.f64 2 (/.f64 (.f64 i i) 8))
(.f64 2 (.f64 (.f64 (.f64 i i) 1/2) 1/4))
(.f64 2 (.f64 (.f64 1/4 (.f64 i i)) 1/2))
(.f64 1/2 (.f64 (*.f64 i i) 1/2))
(.f64 (/.f64 (.f64 i i) -4) -1)
(.f64 -2 (neg.f64 (/.f64 (.f64 i i) 8)))
(pow.f64 (.f64 1/4 (.f64 i i)) 1)
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(+.f64 (/.f64 (/.f64 (/.f64 3 (.f64 i i)) 2) 2) (/.f64 (/.f64 1/2 (.f64 i i)) 2))
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(+.f64 (/.f64 (/.f64 3 (.f64 i i)) 4) (/.f64 (/.f64 1 (.f64 i i)) 4))
(+.f64 (fabs.f64 (/.f64 1/2 (.f64 i i))) (fabs.f64 (/.f64 1/2 (.f64 i i))))
(-.f64 (/.f64 1 (*.f64 i i)) 0)
(-.f64 0 (/.f64 -1 (*.f64 i i)))
(-.f64 (/.f64 2 (.f64 i i)) (/.f64 1 (.f64 i i)))
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(-.f64 (/.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 1 (.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i 4)) -1))))
(-.f64 (/.f64 (/.f64 (/.f64 3 (*.f64 i i)) 2) 2) (/.f64 (/.f64 (neg.f64 (/.f64 1/2 i)) i) 2))
(-.f64 (/.f64 (/.f64 (/.f64 3 (*.f64 i i)) 2) 2) (+.f64 (/.f64 (/.f64 (neg.f64 (/.f64 1/2 i)) i) 2) 0))
(-.f64 (/.f64 (/.f64 3 i) (.f64 i 4)) (/.f64 (/.f64 -1 i) (.f64 i 4)))
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(-.f64 (/.f64 (/.f64 3 (.f64 i i)) 4) (+.f64 (/.f64 (/.f64 -1 (.f64 i i)) 4) 0))
(.f64 1 (/.f64 1 (.f64 i i)))
(.f64 i (/.f64 1 (.f64 (*.f64 i i) i)))
(*.f64 (/.f64 1 i) (/.f64 1 i))
(*.f64 (/.f64 1 i) (-.f64 (/.f64 2 i) (/.f64 1 i)))
(.f64 (/.f64 1 (.f64 i i)) 1)
(.f64 4 (/.f64 2 (.f64 i (*.f64 i 8))))
(.f64 4 (/.f64 1 (.f64 i (*.f64 i 4))))
(.f64 4 (/.f64 (/.f64 1 i) (.f64 i 4)))
(.f64 4 (.f64 (/.f64 1/2 i) (/.f64 1/2 i)))
(*.f64 4 (/.f64 (/.f64 1/4 i) i))
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(.f64 -1 (/.f64 -1 (.f64 i i)))
(.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 1 (.f64 (.f64 i i) (+.f64 (.f64 i (*.f64 i 4)) -1))))
(.f64 2 (/.f64 1/2 (.f64 i i)))
(.f64 (+.f64 i i) (/.f64 (/.f64 1/2 (.f64 i i)) i))
(.f64 1/2 (/.f64 2 (.f64 i i)))
(.f64 1/2 (-.f64 (/.f64 4 (.f64 i i)) (/.f64 2 (*.f64 i i))))
(.f64 (/.f64 2 (.f64 i i)) 1/2)
(*.f64 (/.f64 2 i) (/.f64 1/2 i))
(.f64 (/.f64 2 i) (.f64 1 (/.f64 1/2 i)))
(*.f64 (/.f64 2 i) (-.f64 (/.f64 1 i) (/.f64 1/2 i)))
(.f64 (/.f64 2 i) (-.f64 (/.f64 1 i) (.f64 1 (/.f64 1/2 i))))
(*.f64 (/.f64 -1 i) (/.f64 -1 i))
(*.f64 (/.f64 -1 i) (-.f64 (/.f64 2 (neg.f64 i)) (/.f64 -1 i)))
(.f64 (/.f64 -1 (.f64 i i)) -1)
(*.f64 (/.f64 4 i) (/.f64 1/4 i))
(.f64 (/.f64 4 i) (.f64 1/2 (/.f64 1/2 i)))
(*.f64 (/.f64 4 i) (-.f64 (/.f64 1/2 i) (/.f64 1/4 i)))
(.f64 (/.f64 4 i) (-.f64 (/.f64 1/2 i) (.f64 1/2 (/.f64 1/2 i))))
(.f64 (/.f64 1/2 (.f64 i i)) 2)
(.f64 (/.f64 4 (.f64 i i)) 1/4)
(*.f64 -2 (/.f64 (neg.f64 (/.f64 1/2 i)) i))
(*.f64 (/.f64 1/4 i) (/.f64 4 i))
(*.f64 (/.f64 1/4 i) (-.f64 (/.f64 8 i) (/.f64 4 i)))
(*.f64 (/.f64 2 (neg.f64 i)) (/.f64 -1 (+.f64 i i)))
(.f64 8 (/.f64 (/.f64 1 i) (.f64 i 8)))
(.f64 8 (.f64 (/.f64 1/4 i) (/.f64 1/2 i)))
(.f64 (/.f64 8 i) (/.f64 1 (.f64 i 8)))
(.f64 (/.f64 8 i) (-.f64 (/.f64 1/4 i) (/.f64 1 (.f64 i 8))))
(*.f64 (/.f64 1/2 i) (/.f64 2 i))
(*.f64 (/.f64 1/2 i) (-.f64 (/.f64 4 i) (/.f64 2 i)))
(.f64 (/.f64 1 (.f64 (*.f64 i i) i)) i)
(.f64 (/.f64 2 (.f64 (*.f64 i i) i)) (/.f64 1 (/.f64 2 i)))
(.f64 (.f64 i (/.f64 2 i)) (/.f64 1/2 (*.f64 i i)))
(.f64 (.f64 i (/.f64 1 (*.f64 i i))) (/.f64 1 i))
(.f64 (.f64 i (/.f64 2 (*.f64 i i))) (/.f64 1/2 i))
(.f64 (+.f64 (.f64 i (/.f64 2 i)) -1) (/.f64 1 (*.f64 i i)))
(pow.f64 (/.f64 1 (*.f64 i i)) 1)
(neg.f64 (/.f64 -1 (*.f64 i i)))
(fabs.f64 (/.f64 1 (*.f64 i i)))

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -1 (pow.f64 i 4)))
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(+.f64 (.f64 -1/4 (pow.f64 i 2)) (+.f64 (.f64 -4 (pow.f64 i 6)) (neg.f64 (pow.f64 i 4))))
(+.f64 (neg.f64 (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)))))
(+.f64 (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))) (.f64 -16 (pow.f64 i 8)))
(+.f64 (neg.f64 (pow.f64 i 4)) (+.f64 (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6))) (*.f64 -16 (pow.f64 i 8))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
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(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 1/16 (.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (pow.f64 i 2)) (/.f64 1/256 (pow.f64 i 4))))
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(+.f64 (/.f64 1/64 (pow.f64 i 2)) (+.f64 (+.f64 1/16 (/.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))))
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(+.f64 (.f64 1 (/.f64 1/256 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (*.f64 1 (/.f64 1/1024 (pow.f64 i 6))))))
(+.f64 (/.f64 1/64 (pow.f64 i 2)) (+.f64 (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (pow.f64 i 4))))
(*.f64 1/4 (pow.f64 i 2))
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(*.f64 (pow.f64 i 2) 1/4)
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(*.f64 1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) 1/4)
(*.f64 1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) 1/4)
(*.f64 1/4 (pow.f64 i 2))
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(-.f64 (/.f64 1 (*.f64 i i)) 0)
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(/.f64 (+.f64 4 (/.f64 -1 (.f64 i i))) (+.f64 -1 (.f64 4 (*.f64 i i))))
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(/.f64 (/.f64 i i) (*.f64 i i))
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(.f64 4 (-.f64 (/.f64 1/2 (.f64 i i)) (*.f64 (/.f64 1/2 i) (/.f64 1/2 i))))
(/.f64 1 (*.f64 i i))
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(.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 1 (.f64 (.f64 i i) (+.f64 (.f64 i (*.f64 i 4)) -1))))
(.f64 1 (/.f64 (+.f64 -1 (.f64 4 (.f64 i i))) (.f64 (.f64 i i) (+.f64 -1 (.f64 4 (*.f64 i i))))))
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(/.f64 (+.f64 (.f64 i (.f64 i 8)) -2) (.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i 8)) -2)))
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(/.f64 (/.f64 i i) (*.f64 i i))
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(*.f64 8 (/.f64 (-.f64 (/.f64 1/4 i) (/.f64 1/8 i)) i))
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(/.f64 (/.f64 i i) (*.f64 i i))
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(/.f64 (/.f64 i i) (*.f64 i i))
(.f64 (.f64 i (/.f64 1 (*.f64 i i))) (/.f64 1 i))
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(/.f64 (/.f64 i i) (*.f64 i i))
(.f64 (+.f64 (.f64 i (/.f64 2 i)) -1) (/.f64 1 (*.f64 i i)))
(.f64 1 (/.f64 (+.f64 -1 (.f64 i (/.f64 2 i))) (*.f64 i i)))
(.f64 (/.f64 1 i) (/.f64 (+.f64 -1 (.f64 i (/.f64 2 i))) i))
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(pow.f64 (/.f64 1 (*.f64 i i)) 1)
(/.f64 1 (*.f64 i i))
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localize53.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	18.2b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))

Compiler

Compiled 40 to 24 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite813.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1996×	`rational_best-4`
1996×	`rational_best-2`
1996×	`rational_best-3`
1996×	`rational_best-1`
638×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	86	37
2	233	37
3	896	37
4	5080	37

Stop Event

1×	node limit

Counts

1 → 162

Calls

Call 1

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

Outputs

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simplify546.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational_best-simplify-63`
956×	`rational_best-simplify-108`
822×	`rational_best-simplify-67`
676×	`rational_best-simplify-55`
638×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	7850
1	1286	7708
2	4631	7144

Stop Event

1×	node limit

Counts

174 → 244

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 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) 0)
(+.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)))
(+.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (neg.f64 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1))))
(+.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 0 (+.f64 1 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)))))
(+.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)) (+.f64 1 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)))))
(+.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 0 (+.f64 4 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)))))
(+.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)) (+.f64 4 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)))))
(+.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 0 (+.f64 1/2 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)))))
(+.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)) (+.f64 1/2 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)))))
(+.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 0 (+.f64 8 (/.f64 0 (+.f64 (.f64 i (.f64 i 4)) -1)))))
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(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 i (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1)))) (/.f64 1/4 (.f64 4 (+.f64 (.f64 i (*.f64 i 4)) -1))))
(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 i (/.f64 i (+.f64 (.f64 i (+.f64 i i)) -1/2)))) (/.f64 1/8 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1))))
(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i 8)) -2))) (/.f64 1/2 (.f64 4 (+.f64 (.f64 i (*.f64 i 4)) -1))))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 1 (+.f64 (.f64 i (.f64 i 4)) -1)))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (.f64 i (/.f64 i (+.f64 (.f64 i (+.f64 i i)) -1/2)))) (/.f64 1/4 (+.f64 (.f64 i (.f64 i 8)) -2)))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 (.f64 i i) (+.f64 (.f64 i (.f64 i 8)) -2))) (/.f64 1/2 (+.f64 (.f64 i (*.f64 i 4)) -1)))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) i) (/.f64 (/.f64 (/.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1)) (+.f64 (.f64 i (.f64 i 4)) -1)))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (neg.f64 i)) (/.f64 (/.f64 (/.f64 i -4) (+.f64 (.f64 i (.f64 i 4)) -1)) (+.f64 (.f64 i (.f64 i 4)) -1)))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 (/.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1)))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (fabs.f64 i)) (/.f64 (.f64 (fabs.f64 i) (/.f64 1/4 (+.f64 (.f64 i (.f64 i 4)) -1))) (+.f64 (.f64 i (*.f64 i 4)) -1)))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 i (-.f64 1 (.f64 i (.f64 i 4))))) (/.f64 (/.f64 i -4) (+.f64 (.f64 i (.f64 i 4)) -1)))
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(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 i 4)) (/.f64 (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1))))
(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 (/.f64 i 4) (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1))))
(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (fabs.f64 i)) (/.f64 (.f64 (fabs.f64 i) (/.f64 1/4 (+.f64 (.f64 i (.f64 i 4)) -1))) (.f64 4 (+.f64 (.f64 i (*.f64 i 4)) -1))))
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(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (fabs.f64 i) 4)) (/.f64 (/.f64 (fabs.f64 i) (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1))))
(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (fabs.f64 i) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 (/.f64 (fabs.f64 i) 4) (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1))))
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(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 i 4)) (/.f64 (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1)) (+.f64 (.f64 i (.f64 i 4)) -1)))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 i -4)) (/.f64 (/.f64 i (-.f64 1 (.f64 i (.f64 i 4)))) (+.f64 (.f64 i (.f64 i 4)) -1)))
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(.f64 (/.f64 (+.f64 i i) 16) (/.f64 i (+.f64 (.f64 i (+.f64 i i)) -1/2)))
(pow.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) 1)

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -1 (pow.f64 i 4)))
(+.f64 (*.f64 -1/4 (pow.f64 i 2)) (neg.f64 (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))))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (+.f64 (neg.f64 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 6))))
(+.f64 (neg.f64 (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)))))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6))) (+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -16 (pow.f64 i 8))))
(+.f64 (neg.f64 (pow.f64 i 4)) (+.f64 (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6))) (*.f64 -16 (pow.f64 i 8))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (*.f64 1 (/.f64 1/64 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (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 (/.f64 1/64 (pow.f64 i 2))) (+.f64 1/16 (.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))) (.f64 1 (/.f64 1/256 (pow.f64 i 4))))
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(+.f64 1/16 (+.f64 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 1 (/.f64 1/1024 (pow.f64 i 6)))) (*.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (pow.f64 i 2)) (/.f64 1/1024 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (*.f64 1 (/.f64 1/64 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (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)))))
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(+.f64 1/16 (+.f64 (/.f64 1/64 (pow.f64 i 2)) (/.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 (/.f64 1/64 (pow.f64 i 2))) (.f64 1 (/.f64 1/1024 (pow.f64 i 6)))) (+.f64 1/16 (*.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 1 (/.f64 1/1024 (pow.f64 i 6)))) (*.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (pow.f64 i 2)) (/.f64 1/1024 (pow.f64 i 6)))))
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(/.f64 (.f64 (.f64 i i) 1/4) (+.f64 -1 (.f64 i (.f64 i 4))))
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(+.f64 0 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)))
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(/.f64 (.f64 (.f64 i i) 1/4) (+.f64 -1 (.f64 i (.f64 i 4))))
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(.f64 i (.f64 i (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))))
(+.f64 (/.f64 (/.f64 (.f64 i i) 8) (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 (.f64 (.f64 (.f64 i i) 1/4) 3) (.f64 4 (+.f64 (.f64 i (*.f64 i 4)) -1))))
(+.f64 (/.f64 (/.f64 (.f64 i i) 8) (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 (.f64 (.f64 (.f64 i i) 1/4) 3) (.f64 4 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(+.f64 (/.f64 (/.f64 (.f64 i i) 8) (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 (.f64 (.f64 i i) 3/4) (.f64 4 (+.f64 -1 (.f64 i (.f64 i 4))))))
(+.f64 (/.f64 (/.f64 (.f64 i i) 8) (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 (.f64 (.f64 i i) 3/4) (.f64 2 (+.f64 (.f64 i (.f64 i 8)) -2))))
(+.f64 (/.f64 (/.f64 (.f64 i i) 8) (+.f64 (.f64 i (.f64 i 8)) -2)) (/.f64 (.f64 (.f64 i i) 3) (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) 16)))
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(/.f64 (/.f64 (+.f64 (.f64 i i) (.f64 i (.f64 i 3))) 8) (+.f64 (.f64 i (*.f64 i 8)) -2))
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(/.f64 (/.f64 (+.f64 (.f64 i i) (.f64 i (.f64 i 3))) 8) (+.f64 (.f64 i (*.f64 i 8)) -2))
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(.f64 (/.f64 (.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (fabs.f64 i)) 1) (/.f64 (/.f64 (fabs.f64 i) (+.f64 -1 (.f64 i (.f64 i 4)))) (.f64 4 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(/.f64 (.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (.f64 4 (+.f64 -1 (.f64 i (.f64 i 4)))))) (+.f64 1 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4))))))
(/.f64 (.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (+.f64 (.f64 i (*.f64 i 8)) -2))) 2)
(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (fabs.f64 i) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 (/.f64 (fabs.f64 i) 4) (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1))))
(.f64 (/.f64 (.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (fabs.f64 i)) 1) (/.f64 (/.f64 (fabs.f64 i) (+.f64 -1 (.f64 i (.f64 i 4)))) (.f64 4 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(/.f64 (.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (.f64 4 (+.f64 -1 (.f64 i (.f64 i 4)))))) (+.f64 1 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4))))))
(/.f64 (.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (+.f64 (.f64 i (*.f64 i 8)) -2))) 2)
(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 (/.f64 i 4) (+.f64 (.f64 i (*.f64 i 4)) -1)))
(/.f64 (.f64 (.f64 i i) 1/4) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 i (.f64 i (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))))
(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 i -4) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 (/.f64 i -4) (+.f64 (.f64 i (*.f64 i 4)) -1)))
(.f64 (/.f64 i -4) (/.f64 (.f64 (.f64 4 (+.f64 -1 (.f64 i (.f64 i 4)))) (/.f64 (/.f64 i -4) (+.f64 -1 (.f64 i (.f64 i 4))))) (+.f64 -1 (.f64 i (*.f64 i 4)))))
(.f64 (/.f64 i (.f64 -4 (+.f64 -1 (.f64 i (.f64 i 4))))) (.f64 4 (.f64 i (/.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (.f64 -4 (+.f64 -1 (.f64 i (*.f64 i 4))))))))
(.f64 (.f64 2 (+.f64 (.f64 i (.f64 i 8)) -2)) (.f64 (/.f64 i (.f64 -4 (+.f64 -1 (.f64 i (.f64 i 4))))) (/.f64 i (.f64 -4 (+.f64 -1 (.f64 i (*.f64 i 4)))))))
(.f64 (.f64 (.f64 4 (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 (fabs.f64 i) (/.f64 1/4 (+.f64 (.f64 i (.f64 i 4)) -1)))) (.f64 (fabs.f64 i) (/.f64 1/4 (+.f64 (.f64 i (*.f64 i 4)) -1))))
(/.f64 (.f64 (.f64 i i) 1/4) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 i (.f64 i (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 i 4)) (/.f64 (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1)) (+.f64 (.f64 i (.f64 i 4)) -1)))
(/.f64 (.f64 (.f64 i i) 1/4) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 i (.f64 i (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 i -4)) (/.f64 (/.f64 i (-.f64 1 (.f64 i (.f64 i 4)))) (+.f64 (.f64 i (.f64 i 4)) -1)))
(.f64 (/.f64 (/.f64 i -4) (+.f64 -1 (.f64 i (.f64 i 4)))) (.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (/.f64 i (-.f64 1 (.f64 i (.f64 i 4))))))
(.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (.f64 (/.f64 i -4) (/.f64 (/.f64 i (-.f64 1 (.f64 i (.f64 i 4)))) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (/.f64 i (-.f64 1 (.f64 i (.f64 i 4)))) (.f64 (/.f64 i -4) (/.f64 (-.f64 1 (.f64 i (.f64 i 4))) (-.f64 1 (.f64 i (.f64 i 4))))))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 (fabs.f64 i) 4)) (/.f64 (/.f64 (fabs.f64 i) (+.f64 (.f64 i (.f64 i 4)) -1)) (+.f64 (.f64 i (.f64 i 4)) -1)))
(.f64 (/.f64 (.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (fabs.f64 i)) 1) (/.f64 (/.f64 (fabs.f64 i) (+.f64 -1 (.f64 i (.f64 i 4)))) (.f64 4 (+.f64 -1 (.f64 i (*.f64 i 4))))))
(/.f64 (.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (.f64 4 (+.f64 -1 (.f64 i (.f64 i 4)))))) (+.f64 1 (/.f64 0 (+.f64 -1 (.f64 i (.f64 i 4))))))
(/.f64 (.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (+.f64 (.f64 i (*.f64 i 8)) -2))) 2)
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 (/.f64 i 4) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 i (+.f64 (.f64 i (.f64 i 4)) -1)))
(/.f64 (.f64 (.f64 i i) 1/4) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 i (.f64 i (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (/.f64 (/.f64 i -4) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 i (-.f64 1 (.f64 i (.f64 i 4)))))
(.f64 (/.f64 (/.f64 i -4) (+.f64 -1 (.f64 i (.f64 i 4)))) (.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (/.f64 i (-.f64 1 (.f64 i (.f64 i 4))))))
(.f64 (+.f64 -1 (.f64 i (.f64 i 4))) (.f64 (/.f64 i -4) (/.f64 (/.f64 i (-.f64 1 (.f64 i (.f64 i 4)))) (+.f64 -1 (.f64 i (.f64 i 4))))))
(.f64 (/.f64 i (-.f64 1 (.f64 i (.f64 i 4)))) (.f64 (/.f64 i -4) (/.f64 (-.f64 1 (.f64 i (.f64 i 4))) (-.f64 1 (.f64 i (.f64 i 4))))))
(.f64 (.f64 (+.f64 (.f64 i (.f64 i 4)) -1) (.f64 (fabs.f64 i) (/.f64 1/4 (+.f64 (.f64 i (.f64 i 4)) -1)))) (/.f64 (fabs.f64 i) (+.f64 (.f64 i (*.f64 i 4)) -1)))
(/.f64 (.f64 (.f64 i i) 1/4) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 i (.f64 i (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))))
(.f64 (/.f64 (+.f64 i i) 16) (/.f64 i (+.f64 (.f64 i (+.f64 i i)) -1/2)))
(.f64 (/.f64 i (+.f64 (.f64 i (+.f64 i i)) -1/2)) (/.f64 i 8))
(.f64 i (/.f64 (/.f64 i 8) (+.f64 -1/2 (.f64 i (+.f64 i i)))))
(pow.f64 (/.f64 (.f64 (.f64 i i) 1/4) (+.f64 (.f64 i (.f64 i 4)) -1)) 1)
(/.f64 (.f64 (.f64 i i) 1/4) (+.f64 -1 (.f64 i (.f64 i 4))))
(/.f64 (.f64 i (.f64 i 1/4)) (+.f64 -1 (.f64 i (.f64 i 4))))
(.f64 i (.f64 i (/.f64 1/2 (+.f64 (.f64 i (.f64 i 8)) -2))))

eval1.2s (5.9%)

Compiler: Compiled 11528 to 8139 computations (29.4% saved)

prune857.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	510	1	511
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	510	4	514

Error

Counts

514 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.8b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))
✓	19.2b	(/.f64 (/.f64 1/4 (/.f64 (/.f64 1 i) i)) (+.f64 (.f64 i (.f64 i 4)) -1))
▶	0.3b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
	27.8b	1/16

Compiler

Compiled 42 to 32 computations (23.8% saved)

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
✓	0.4b	(/.f64 1 (*.f64 i i))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite320.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`rational_best-simplify-51`
862×	`rational_best-simplify-55`
830×	`rational_best-simplify-57`
744×	`rational_best-4`
744×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	73	38
2	164	38
3	443	38
4	1876	38

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (+.f64 (/.f64 1 (*.f64 i i)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (*.f64 i i)) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (*.f64 i i) 4)) (+.f64 (/.f64 1 (*.f64 (*.f64 i i) 4)) (/.f64 1/2 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 i i)) (/.f64 1/2 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 i i)) (neg.f64 (neg.f64 (/.f64 1/2 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/2 (*.f64 i i)) 2) (+.f64 (-.f64 (/.f64 1/2 (*.f64 i i)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (+.f64 (/.f64 1 (*.f64 i i)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fabs.f64 (/.f64 1/2 (*.f64 i i))) (fabs.f64 (/.f64 1/2 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (*.f64 i i)) (neg.f64 (/.f64 1/2 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (*.f64 i i)) (/.f64 (/.f64 -1 (*.f64 i i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 i i)) (/.f64 1 (/.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 (*.f64 i i) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 i) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (*.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 1 (/.f64 (*.f64 i i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 1/2 (*.f64 i 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 (neg.f64 (/.f64 1 i)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (-.f64 0 (neg.f64 (/.f64 1 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 i i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 i i)) (/.f64 1 (/.f64 (neg.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 i i)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 i i)) (/.f64 1 (/.f64 (+.f64 i i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 i) (/.f64 1 (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 i) (/.f64 1/2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 i) (/.f64 1 (/.f64 (*.f64 i (+.f64 i i)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 i)) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fabs.f64 i)) (/.f64 1 (fabs.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 i i) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 i i)) (/.f64 2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 i i)) (/.f64 1 (*.f64 i 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 i)) (neg.f64 (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1 (*.f64 i (*.f64 (+.f64 i i) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 2 (*.f64 (*.f64 (*.f64 i i) 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1/2 (*.f64 (*.f64 i i) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (/.f64 1 i) (*.f64 (+.f64 i i) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (/.f64 1 (+.f64 i i)) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 i i)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 i i)) (/.f64 1 (/.f64 (*.f64 i 4) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (/.f64 1 (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (/.f64 2 (*.f64 (+.f64 i i) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (/.f64 1/2 (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (/.f64 1 (/.f64 (*.f64 (*.f64 i i) 4) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (/.f64 (/.f64 1 i) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (/.f64 (/.f64 1 (+.f64 i i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 i i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (neg.f64 i))) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (neg.f64 i)) 2) (/.f64 2 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (fabs.f64 i)) 2) (/.f64 2 (fabs.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (neg.f64 i)) (/.f64 1/2 (*.f64 -2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (fabs.f64 i)) (/.f64 1/2 (fabs.f64 (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 i 4)) (/.f64 4 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 i (*.f64 (+.f64 i i) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 i) (*.f64 i 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1 (*.f64 (*.f64 (*.f64 i i) 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1/2 (*.f64 i (*.f64 (+.f64 i i) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8 i) i) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 i) (/.f64 1 (*.f64 (+.f64 i i) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 i) (/.f64 1 (/.f64 (*.f64 i (*.f64 (+.f64 i i) 4)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 i) (/.f64 1/2 (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 i)) (/.f64 1 (*.f64 -2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 i)) (/.f64 1/2 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fabs.f64 i)) (/.f64 1 (fabs.f64 (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fabs.f64 i)) (/.f64 1/2 (fabs.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 i i)) i) (/.f64 1 (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (*.f64 i i)) i) (/.f64 1 (/.f64 2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (fabs.f64 i)) i) (/.f64 1 (/.f64 (fabs.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (*.f64 i i)) i) (/.f64 1 (/.f64 4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 0 (/.f64 1 (neg.f64 i))) (-.f64 0 (/.f64 1 (neg.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 0 (neg.f64 (/.f64 1 i))) (-.f64 0 (neg.f64 (/.f64 1 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 0 (/.f64 1 (fabs.f64 i))) (-.f64 0 (/.f64 1 (fabs.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (*.f64 i i)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i)))) (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i)))) 2) (+.f64 (/.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i)))) 2) (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i)))) (/.f64 (neg.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (+.f64 4 (/.f64 -1 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 (*.f64 4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/4 (*.f64 4 (+.f64 4 (/.f64 -1 (*.f64 i i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (*.f64 4 (+.f64 8 (/.f64 -2 (*.f64 i i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (+.f64 8 (/.f64 -2 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (/.f64 -2 (*.f64 i i)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 2 (+.f64 4 (/.f64 -1 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 i i) 4) -1)) (/.f64 1/4 (/.f64 1 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (*.f64 (*.f64 i i) 4) -1)) (/.f64 1/2 (/.f64 1 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 (*.f64 (*.f64 i i) 4) -1)) (/.f64 1 (/.f64 1 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1)))))

simplify285.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

946×	`rational_best-simplify-71`
922×	`rational_best-simplify-64`
876×	`rational_best-simplify-1`
706×	`rational_best-simplify-65`
518×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	2424
1	779	2418
2	2498	2274

Stop Event

1×	node limit

Counts

132 → 143

Calls

Call 1

Inputs
(/.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 -1/4 (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 (/.f64 1 (*.f64 i i)) 0)
(+.f64 4 (+.f64 (/.f64 1 (*.f64 i i)) -4))
(+.f64 0 (/.f64 1 (*.f64 i i)))
(+.f64 (+.f64 (/.f64 1 (*.f64 i i)) -4) 4)
(+.f64 (/.f64 1 (.f64 (.f64 i i) 4)) (+.f64 (/.f64 1 (.f64 (.f64 i i) 4)) (/.f64 1/2 (*.f64 i i))))
(+.f64 (/.f64 1/2 (.f64 i i)) (/.f64 1/2 (.f64 i i)))
(+.f64 (/.f64 1/2 (.f64 i i)) (neg.f64 (neg.f64 (/.f64 1/2 (.f64 i i)))))
(+.f64 (-.f64 (/.f64 1/2 (.f64 i i)) 2) (+.f64 (-.f64 (/.f64 1/2 (.f64 i i)) 2) 4))
(+.f64 -4 (+.f64 (/.f64 1 (*.f64 i i)) 4))
(+.f64 (fabs.f64 (/.f64 1/2 (.f64 i i))) (fabs.f64 (/.f64 1/2 (.f64 i i))))
(-.f64 (/.f64 1 (*.f64 i i)) 0)
(-.f64 0 (/.f64 -1 (*.f64 i i)))
(-.f64 (/.f64 1/2 (.f64 i i)) (neg.f64 (/.f64 1/2 (.f64 i i))))
(-.f64 (/.f64 1/2 (.f64 i i)) (/.f64 (/.f64 -1 (.f64 i i)) 2))
(.f64 1 (/.f64 1 (.f64 i i)))
(.f64 (/.f64 1 (.f64 i i)) 1)
(.f64 (/.f64 1 (.f64 i i)) (/.f64 1 (/.f64 i i)))
(.f64 1/4 (/.f64 4 (.f64 i i)))
(.f64 4 (/.f64 1 (.f64 (*.f64 i i) 4)))
(.f64 4 (/.f64 (/.f64 1 i) (.f64 i 4)))
(.f64 4 (/.f64 1/2 (.f64 i (+.f64 i i))))
(*.f64 (/.f64 1 i) (/.f64 1 i))
(.f64 (/.f64 1 i) (/.f64 1 (/.f64 (.f64 i i) i)))
(.f64 (/.f64 1 i) (/.f64 1/2 (.f64 i 1/2)))
(*.f64 (/.f64 1 i) (/.f64 (neg.f64 (/.f64 1 i)) -1))
(*.f64 (/.f64 1 i) (-.f64 0 (neg.f64 (/.f64 1 i))))
(.f64 2 (/.f64 1/2 (.f64 i i)))
(.f64 1/2 (/.f64 2 (.f64 i i)))
(.f64 (/.f64 -1 (.f64 i i)) -1)
(.f64 (/.f64 -1 (.f64 i i)) (/.f64 1 (/.f64 (neg.f64 i) i)))
(.f64 (/.f64 2 (.f64 i i)) 1/2)
(.f64 (/.f64 2 (.f64 i i)) (/.f64 1 (/.f64 (+.f64 i i) i)))
(*.f64 (/.f64 2 i) (/.f64 1 (+.f64 i i)))
(*.f64 (/.f64 2 i) (/.f64 1/2 i))
(.f64 (/.f64 2 i) (/.f64 1 (/.f64 (.f64 i (+.f64 i i)) i)))
(*.f64 (/.f64 1 (neg.f64 i)) (/.f64 1 (neg.f64 i)))
(*.f64 (/.f64 1 (fabs.f64 i)) (/.f64 1 (fabs.f64 i)))
(.f64 (/.f64 1 (.f64 (*.f64 i i) 4)) 4)
(*.f64 (/.f64 1 (+.f64 i i)) (/.f64 2 i))
(.f64 (/.f64 1 (+.f64 i i)) (/.f64 1 (.f64 i 1/2)))
(*.f64 (neg.f64 (/.f64 1 i)) (neg.f64 (/.f64 1 i)))
(.f64 8 (/.f64 1 (.f64 i (*.f64 (+.f64 i i) 4))))
(.f64 8 (/.f64 2 (.f64 (.f64 (.f64 i i) 4) 4)))
(.f64 8 (/.f64 1/2 (.f64 (*.f64 i i) 4)))
(.f64 8 (/.f64 (/.f64 1 i) (.f64 (+.f64 i i) 4)))
(.f64 8 (/.f64 (/.f64 1 (+.f64 i i)) (.f64 i 4)))
(.f64 (/.f64 4 (.f64 i i)) 1/4)
(.f64 (/.f64 4 (.f64 i i)) (/.f64 1 (/.f64 (*.f64 i 4) i)))
(.f64 (/.f64 4 i) (/.f64 1 (.f64 i 4)))
(.f64 (/.f64 4 i) (/.f64 2 (.f64 (+.f64 i i) 4)))
(*.f64 (/.f64 4 i) (/.f64 1/2 (+.f64 i i)))
(.f64 (/.f64 4 i) (/.f64 1 (/.f64 (.f64 (*.f64 i i) 4) i)))
(*.f64 (/.f64 4 i) (/.f64 (/.f64 1 i) 4))
(*.f64 (/.f64 4 i) (/.f64 (/.f64 1 (+.f64 i i)) 2))
(.f64 (/.f64 1/2 (.f64 i i)) 2)
(*.f64 (neg.f64 (/.f64 1 (neg.f64 i))) (/.f64 1 i))
(*.f64 (/.f64 (/.f64 1 (neg.f64 i)) 2) (/.f64 2 (neg.f64 i)))
(*.f64 (/.f64 (/.f64 1 (fabs.f64 i)) 2) (/.f64 2 (fabs.f64 i)))
(.f64 (/.f64 4 (neg.f64 i)) (/.f64 1/2 (.f64 -2 i)))
(*.f64 (/.f64 4 (fabs.f64 i)) (/.f64 1/2 (fabs.f64 (+.f64 i i))))
(.f64 (/.f64 1 (.f64 i 4)) (/.f64 4 i))
(.f64 (/.f64 1 (.f64 i (*.f64 (+.f64 i i) 4))) 8)
(.f64 (/.f64 (/.f64 1 i) (.f64 i 4)) 4)
(.f64 16 (/.f64 1 (.f64 (.f64 (.f64 i i) 4) 4)))
(.f64 16 (/.f64 1/2 (.f64 i (*.f64 (+.f64 i i) 4))))
(*.f64 (/.f64 (/.f64 8 i) i) 1/8)
(.f64 (/.f64 8 i) (/.f64 1 (.f64 (+.f64 i i) 4)))
(.f64 (/.f64 8 i) (/.f64 1 (/.f64 (.f64 i (*.f64 (+.f64 i i) 4)) i)))
(.f64 (/.f64 8 i) (/.f64 1/2 (.f64 i 4)))
(.f64 (/.f64 2 (neg.f64 i)) (/.f64 1 (.f64 -2 i)))
(*.f64 (/.f64 2 (neg.f64 i)) (/.f64 1/2 (neg.f64 i)))
(*.f64 (/.f64 2 (fabs.f64 i)) (/.f64 1 (fabs.f64 (+.f64 i i))))
(*.f64 (/.f64 2 (fabs.f64 i)) (/.f64 1/2 (fabs.f64 i)))
(.f64 (/.f64 (/.f64 1 (.f64 i i)) i) (/.f64 1 (/.f64 1 i)))
(.f64 (/.f64 (/.f64 2 (.f64 i i)) i) (/.f64 1 (/.f64 2 i)))
(*.f64 (/.f64 (/.f64 1 (fabs.f64 i)) i) (/.f64 1 (/.f64 (fabs.f64 i) i)))
(.f64 (/.f64 (/.f64 4 (.f64 i i)) i) (/.f64 1 (/.f64 4 i)))
(*.f64 (-.f64 0 (/.f64 1 (neg.f64 i))) (-.f64 0 (/.f64 1 (neg.f64 i))))
(*.f64 (-.f64 0 (neg.f64 (/.f64 1 i))) (-.f64 0 (neg.f64 (/.f64 1 i))))
(*.f64 (-.f64 0 (/.f64 1 (fabs.f64 i))) (-.f64 0 (/.f64 1 (fabs.f64 i))))
(pow.f64 (/.f64 1 (*.f64 i i)) 1)
(neg.f64 (/.f64 -1 (*.f64 i i)))
(fabs.f64 (/.f64 1 (*.f64 i i)))
(+.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 0)
(+.f64 0 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))))
(+.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))))
(+.f64 (/.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) 2) (+.f64 (/.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) 2) (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i))))))
(-.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 0)
(-.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) (/.f64 (neg.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i))))) 2))
(.f64 1 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(.f64 1/4 (/.f64 1 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(.f64 4 (/.f64 1 (.f64 (.f64 4 (+.f64 4 (/.f64 -1 (.f64 i i)))) 4)))
(.f64 4 (/.f64 1/4 (.f64 4 (+.f64 4 (/.f64 -1 (*.f64 i i))))))
(.f64 4 (/.f64 1/2 (.f64 4 (+.f64 8 (/.f64 -2 (*.f64 i i))))))
(.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) 1)
(.f64 2 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))))
(.f64 2 (.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1/2))
(.f64 1/2 (/.f64 1 (+.f64 8 (/.f64 -2 (.f64 i i)))))
(.f64 (/.f64 1 (+.f64 8 (/.f64 -2 (.f64 i i)))) 1/2)
(.f64 (/.f64 1 (+.f64 4 (/.f64 -1 (.f64 i i)))) 1/4)
(.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) 2)
(.f64 1/8 (/.f64 2 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(.f64 (.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1/2) 2)
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 i i) 4) -1)) (/.f64 1/4 (/.f64 1 (.f64 i i))))
(.f64 (/.f64 1/2 (+.f64 (.f64 (.f64 i i) 4) -1)) (/.f64 1/2 (/.f64 1 (.f64 i i))))
(.f64 (/.f64 1/4 (+.f64 (.f64 (.f64 i i) 4) -1)) (/.f64 1 (/.f64 1 (.f64 i i))))
(.f64 (/.f64 2 (+.f64 4 (/.f64 -1 (.f64 i i)))) 1/8)
(pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1)

Outputs
(/.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 -1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) -1/4)
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 (pow.f64 i 2) -1/4) (.f64 -1 (pow.f64 i 4)))
(+.f64 (*.f64 (pow.f64 i 2) -1/4) (neg.f64 (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))))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 (pow.f64 i 2) -1/4) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 (pow.f64 i 2) -1/4) (+.f64 (.f64 -4 (pow.f64 i 6)) (neg.f64 (pow.f64 i 4))))
(+.f64 (.f64 (pow.f64 i 2) -1/4) (+.f64 (neg.f64 (pow.f64 i 4)) (.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)))))
(+.f64 (+.f64 (.f64 (pow.f64 i 2) -1/4) (.f64 -4 (pow.f64 i 6))) (+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -16 (pow.f64 i 8))))
(+.f64 (+.f64 (.f64 (pow.f64 i 2) -1/4) (+.f64 (.f64 -4 (pow.f64 i 6)) (neg.f64 (pow.f64 i 4)))) (*.f64 -16 (pow.f64 i 8)))
(+.f64 (+.f64 (.f64 (pow.f64 i 2) -1/4) (neg.f64 (pow.f64 i 4))) (+.f64 (.f64 -4 (pow.f64 i 6)) (*.f64 -16 (pow.f64 i 8))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (*.f64 (/.f64 1 (pow.f64 i 2)) 1/64))
(+.f64 1/16 (*.f64 1 (/.f64 1/64 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (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 (/.f64 1 (pow.f64 i 2)) 1/64) (+.f64 1/16 (.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (.f64 1 (/.f64 1/64 (pow.f64 i 2))) (.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (pow.f64 i 2)) (/.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 (/.f64 1/256 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 (/.f64 1 (pow.f64 i 2)) 1/64) (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))))))
(+.f64 1/16 (+.f64 (+.f64 (.f64 1 (/.f64 1/64 (pow.f64 i 2))) (.f64 1 (/.f64 1/1024 (pow.f64 i 6)))) (*.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (pow.f64 i 2)) (/.f64 1/1024 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (*.f64 (/.f64 1 (pow.f64 i 2)) 1/64))
(+.f64 1/16 (*.f64 1 (/.f64 1/64 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (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 (/.f64 1 (pow.f64 i 2)) 1/64) (+.f64 1/16 (.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (.f64 1 (/.f64 1/64 (pow.f64 i 2))) (.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (pow.f64 i 2)) (/.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 (/.f64 1/256 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 (/.f64 1 (pow.f64 i 2)) 1/64) (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))))))
(+.f64 1/16 (+.f64 (+.f64 (.f64 1 (/.f64 1/64 (pow.f64 i 2))) (.f64 1 (/.f64 1/1024 (pow.f64 i 6)))) (*.f64 1 (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (pow.f64 i 2)) (/.f64 1/1024 (pow.f64 i 6)))))
(+.f64 (/.f64 1 (*.f64 i i)) 0)
(/.f64 1 (*.f64 i i))
(+.f64 4 (+.f64 (/.f64 1 (*.f64 i i)) -4))
(/.f64 1 (*.f64 i i))
(+.f64 0 (/.f64 1 (*.f64 i i)))
(/.f64 1 (*.f64 i i))
(+.f64 (+.f64 (/.f64 1 (*.f64 i i)) -4) 4)
(/.f64 1 (*.f64 i i))
(+.f64 (/.f64 1 (.f64 (.f64 i i) 4)) (+.f64 (/.f64 1 (.f64 (.f64 i i) 4)) (/.f64 1/2 (*.f64 i i))))
(/.f64 1 (*.f64 i i))
(+.f64 (/.f64 1/2 (.f64 i i)) (/.f64 1/2 (.f64 i i)))
(/.f64 1 (*.f64 i i))
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(/.f64 1 (*.f64 i i))
(+.f64 (-.f64 (/.f64 1/2 (.f64 i i)) 2) (+.f64 (-.f64 (/.f64 1/2 (.f64 i i)) 2) 4))
(+.f64 4 (+.f64 (-.f64 (/.f64 1/2 (.f64 i i)) 2) (-.f64 (/.f64 1/2 (.f64 i i)) 2)))
(+.f64 -4 (+.f64 (/.f64 1 (*.f64 i i)) 4))
(/.f64 1 (*.f64 i i))
(+.f64 (fabs.f64 (/.f64 1/2 (.f64 i i))) (fabs.f64 (/.f64 1/2 (.f64 i i))))
(/.f64 1 (*.f64 i i))
(-.f64 (/.f64 1 (*.f64 i i)) 0)
(/.f64 1 (*.f64 i i))
(-.f64 0 (/.f64 -1 (*.f64 i i)))
(/.f64 1 (*.f64 i i))
(-.f64 (/.f64 1/2 (.f64 i i)) (neg.f64 (/.f64 1/2 (.f64 i i))))
(/.f64 1 (*.f64 i i))
(-.f64 (/.f64 1/2 (.f64 i i)) (/.f64 (/.f64 -1 (.f64 i i)) 2))
(/.f64 1 (*.f64 i i))
(.f64 1 (/.f64 1 (.f64 i i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 1 (.f64 i i)) 1)
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 1 (.f64 i i)) (/.f64 1 (/.f64 i i)))
(/.f64 1 (*.f64 i i))
(.f64 1/4 (/.f64 4 (.f64 i i)))
(/.f64 1 (*.f64 i i))
(.f64 4 (/.f64 1 (.f64 (*.f64 i i) 4)))
(/.f64 1 (*.f64 i i))
(.f64 4 (/.f64 (/.f64 1 i) (.f64 i 4)))
(/.f64 1 (*.f64 i i))
(.f64 4 (/.f64 1/2 (.f64 i (+.f64 i i))))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 1 i) (/.f64 1 i))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 1 i) (/.f64 1 (/.f64 (.f64 i i) i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 1 i) (/.f64 1/2 (.f64 i 1/2)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 1 i) (/.f64 (neg.f64 (/.f64 1 i)) -1))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 1 i) (-.f64 0 (neg.f64 (/.f64 1 i))))
(/.f64 1 (*.f64 i i))
(.f64 2 (/.f64 1/2 (.f64 i i)))
(/.f64 1 (*.f64 i i))
(.f64 1/2 (/.f64 2 (.f64 i i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 -1 (.f64 i i)) -1)
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 -1 (.f64 i i)) (/.f64 1 (/.f64 (neg.f64 i) i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 2 (.f64 i i)) 1/2)
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 2 (.f64 i i)) (/.f64 1 (/.f64 (+.f64 i i) i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 2 i) (/.f64 1 (+.f64 i i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 2 i) (/.f64 1/2 i))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 2 i) (/.f64 1 (/.f64 (.f64 i (+.f64 i i)) i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 1 (neg.f64 i)) (/.f64 1 (neg.f64 i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 1 (fabs.f64 i)) (/.f64 1 (fabs.f64 i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 1 (.f64 (*.f64 i i) 4)) 4)
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 1 (+.f64 i i)) (/.f64 2 i))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 1 (+.f64 i i)) (/.f64 1 (.f64 i 1/2)))
(/.f64 1 (*.f64 i i))
(*.f64 (neg.f64 (/.f64 1 i)) (neg.f64 (/.f64 1 i)))
(/.f64 1 (*.f64 i i))
(.f64 8 (/.f64 1 (.f64 i (*.f64 (+.f64 i i) 4))))
(/.f64 1 (*.f64 i i))
(.f64 8 (/.f64 2 (.f64 (.f64 (.f64 i i) 4) 4)))
(/.f64 1 (*.f64 i i))
(.f64 8 (/.f64 1/2 (.f64 (*.f64 i i) 4)))
(/.f64 1 (*.f64 i i))
(.f64 8 (/.f64 (/.f64 1 i) (.f64 (+.f64 i i) 4)))
(/.f64 1 (*.f64 i i))
(.f64 8 (/.f64 (/.f64 1 (+.f64 i i)) (.f64 i 4)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 4 (.f64 i i)) 1/4)
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 4 (.f64 i i)) (/.f64 1 (/.f64 (*.f64 i 4) i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 4 i) (/.f64 1 (.f64 i 4)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 4 i) (/.f64 2 (.f64 (+.f64 i i) 4)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 4 i) (/.f64 1/2 (+.f64 i i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 4 i) (/.f64 1 (/.f64 (.f64 (*.f64 i i) 4) i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 4 i) (/.f64 (/.f64 1 i) 4))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 4 i) (/.f64 (/.f64 1 (+.f64 i i)) 2))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 1/2 (.f64 i i)) 2)
(/.f64 1 (*.f64 i i))
(*.f64 (neg.f64 (/.f64 1 (neg.f64 i))) (/.f64 1 i))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 (/.f64 1 (neg.f64 i)) 2) (/.f64 2 (neg.f64 i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 (/.f64 1 (fabs.f64 i)) 2) (/.f64 2 (fabs.f64 i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 4 (neg.f64 i)) (/.f64 1/2 (.f64 -2 i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 4 (fabs.f64 i)) (/.f64 1/2 (fabs.f64 (+.f64 i i))))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 1 (.f64 i 4)) (/.f64 4 i))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 1 (.f64 i (*.f64 (+.f64 i i) 4))) 8)
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 (/.f64 1 i) (.f64 i 4)) 4)
(/.f64 1 (*.f64 i i))
(.f64 16 (/.f64 1 (.f64 (.f64 (.f64 i i) 4) 4)))
(/.f64 1 (*.f64 i i))
(.f64 16 (/.f64 1/2 (.f64 i (*.f64 (+.f64 i i) 4))))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 (/.f64 8 i) i) 1/8)
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 8 i) (/.f64 1 (.f64 (+.f64 i i) 4)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 8 i) (/.f64 1 (/.f64 (.f64 i (*.f64 (+.f64 i i) 4)) i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 8 i) (/.f64 1/2 (.f64 i 4)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 2 (neg.f64 i)) (/.f64 1 (.f64 -2 i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 2 (neg.f64 i)) (/.f64 1/2 (neg.f64 i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 2 (fabs.f64 i)) (/.f64 1 (fabs.f64 (+.f64 i i))))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 2 (fabs.f64 i)) (/.f64 1/2 (fabs.f64 i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 (/.f64 1 (.f64 i i)) i) (/.f64 1 (/.f64 1 i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 (/.f64 2 (.f64 i i)) i) (/.f64 1 (/.f64 2 i)))
(/.f64 1 (*.f64 i i))
(*.f64 (/.f64 (/.f64 1 (fabs.f64 i)) i) (/.f64 1 (/.f64 (fabs.f64 i) i)))
(/.f64 1 (*.f64 i i))
(.f64 (/.f64 (/.f64 4 (.f64 i i)) i) (/.f64 1 (/.f64 4 i)))
(/.f64 1 (*.f64 i i))
(*.f64 (-.f64 0 (/.f64 1 (neg.f64 i))) (-.f64 0 (/.f64 1 (neg.f64 i))))
(/.f64 1 (*.f64 i i))
(*.f64 (-.f64 0 (neg.f64 (/.f64 1 i))) (-.f64 0 (neg.f64 (/.f64 1 i))))
(/.f64 1 (*.f64 i i))
(*.f64 (-.f64 0 (/.f64 1 (fabs.f64 i))) (-.f64 0 (/.f64 1 (fabs.f64 i))))
(/.f64 1 (*.f64 i i))
(pow.f64 (/.f64 1 (*.f64 i i)) 1)
(/.f64 1 (*.f64 i i))
(neg.f64 (/.f64 -1 (*.f64 i i)))
(/.f64 1 (*.f64 i i))
(fabs.f64 (/.f64 1 (*.f64 i i)))
(/.f64 1 (*.f64 i i))
(+.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 0)
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(+.f64 0 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(+.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(+.f64 (/.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) 2) (+.f64 (/.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) 2) (/.f64 1/4 (+.f64 8 (/.f64 -2 (*.f64 i i))))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(-.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 0)
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(-.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) (/.f64 (neg.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i))))) 2))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 1 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 1/4 (/.f64 1 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 4 (/.f64 1 (.f64 (.f64 4 (+.f64 4 (/.f64 -1 (.f64 i i)))) 4)))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 4 (/.f64 1/4 (.f64 4 (+.f64 4 (/.f64 -1 (*.f64 i i))))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 4 (/.f64 1/2 (.f64 4 (+.f64 8 (/.f64 -2 (*.f64 i i))))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (.f64 i i)))) 1)
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 2 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 2 (.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1/2))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 1/2 (/.f64 1 (+.f64 8 (/.f64 -2 (.f64 i i)))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 (/.f64 1 (+.f64 8 (/.f64 -2 (.f64 i i)))) 1/2)
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 (/.f64 1 (+.f64 4 (/.f64 -1 (.f64 i i)))) 1/4)
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 (/.f64 1/4 (+.f64 8 (/.f64 -2 (.f64 i i)))) 2)
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 1/8 (/.f64 2 (+.f64 4 (/.f64 -1 (.f64 i i)))))
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 (.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1/2) 2)
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 i i) 4) -1)) (/.f64 1/4 (/.f64 1 (.f64 i i))))
(.f64 1/4 (/.f64 (/.f64 1 (+.f64 -1 (.f64 4 (.f64 i i)))) (/.f64 1 (.f64 i i))))
(.f64 1 (/.f64 (/.f64 1 (/.f64 4 (.f64 i i))) (+.f64 -1 (.f64 i (.f64 i 4)))))
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(.f64 (/.f64 1/2 (+.f64 (.f64 (.f64 i i) 4) -1)) (/.f64 1/2 (/.f64 1 (.f64 i i))))
(.f64 1/4 (/.f64 (/.f64 1 (+.f64 -1 (.f64 4 (.f64 i i)))) (/.f64 1 (.f64 i i))))
(.f64 1 (/.f64 (/.f64 1 (/.f64 4 (.f64 i i))) (+.f64 -1 (.f64 i (.f64 i 4)))))
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(.f64 (/.f64 1/4 (+.f64 (.f64 (.f64 i i) 4) -1)) (/.f64 1 (/.f64 1 (.f64 i i))))
(.f64 1/4 (/.f64 (/.f64 1 (+.f64 -1 (.f64 4 (.f64 i i)))) (/.f64 1 (.f64 i i))))
(.f64 1 (/.f64 (/.f64 1 (/.f64 4 (.f64 i i))) (+.f64 -1 (.f64 i (.f64 i 4)))))
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(.f64 (/.f64 2 (+.f64 4 (/.f64 -1 (.f64 i i)))) 1/8)
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 1)
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))

eval135.0ms (0.7%)

Compiler: Compiled 2014 to 1515 computations (24.8% saved)

prune61.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	143	4	147

Error

Counts

147 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.8b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))
▶	0.3b	(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
✓	0.3b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
	27.8b	1/16

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize43.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -2 i) i)
✓	0.3b	(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
0.0ms	i	@	0	(/.f64 (/.f64 -2 i) i)
0.0ms	i	@	inf	(/.f64 (/.f64 -2 i) i)
0.0ms	i	@	inf	(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
0.0ms	i	@	-inf	(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))

rewrite314.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`rational_best-4`
1162×	`rational_best-2`
1162×	`rational_best-3`
1162×	`rational_best-1`
1162×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	74	38
2	179	38
3	570	38
4	2934	38

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(/.f64 (/.f64 -2 i) i)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))) (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))) (/.f64 (neg.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (+.f64 8 (/.f64 (/.f64 -2 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (*.f64 (+.f64 8 (/.f64 (/.f64 -2 i) i)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 (+.f64 (/.f64 -4 (*.f64 i i)) 16) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 2 (+.f64 8 (/.f64 (/.f64 -2 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 8 (/.f64 (/.f64 -2 i) i)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 -4 (*.f64 i i)) 16) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 i) i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 -2 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (*.f64 i i)) (/.f64 -1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -4 (*.f64 i i)) 8) (/.f64 (*.f64 3/2 (/.f64 (/.f64 -2 i) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 i) (*.f64 i 4)) (/.f64 (/.f64 -6 i) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3/2 (/.f64 (/.f64 -2 i) i)) 2) (/.f64 (/.f64 -4 (*.f64 i i)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -6 i) (*.f64 i 4)) (/.f64 (/.f64 -2 i) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -2 i) i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 2 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (*.f64 i i)) (/.f64 (neg.f64 (/.f64 -1 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 (*.f64 i i)) (/.f64 (/.f64 -2 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3/2 (/.f64 (/.f64 -2 i) i)) 2) (/.f64 (/.f64 (neg.f64 (/.f64 -1 i)) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3/2 (/.f64 (/.f64 -2 i) i)) 2) (+.f64 (/.f64 (/.f64 (neg.f64 (/.f64 -1 i)) i) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -6 i) (*.f64 i 4)) (/.f64 (/.f64 2 i) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -6 i) (*.f64 i 4)) (+.f64 (/.f64 (/.f64 2 i) (*.f64 i 4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 1 (*.f64 i i))) (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -4 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 -8 (*.f64 i i)) (/.f64 -4 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (neg.f64 (/.f64 -1 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 (/.f64 -2 i) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -2 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 (/.f64 1/2 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (-.f64 (/.f64 1 (*.f64 i i)) (/.f64 (/.f64 1/2 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 i) (/.f64 1/2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 i) (-.f64 (/.f64 1 i) (/.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1 (*.f64 i (*.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (-.f64 (/.f64 (/.f64 1/2 i) i) (/.f64 1 (*.f64 i (*.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 i) (/.f64 -1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 i) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 i i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (*.f64 i i)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8 i) (/.f64 (/.f64 1/2 i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8 i) (-.f64 (/.f64 1/2 i) (/.f64 (/.f64 1/2 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 2 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 i i)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 i i)) (*.f64 i (/.f64 -2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 -2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 i (/.f64 (/.f64 -2 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (-.f64 (/.f64 -4 i) (/.f64 -2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 i) i) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 i) i) (*.f64 i (/.f64 -4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 i) (/.f64 -4 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 i) (*.f64 i (/.f64 -4 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 i) (-.f64 (/.f64 -8 i) (/.f64 -4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 i) 2) (/.f64 -8 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 i) 2) (-.f64 (/.f64 -16 i) (/.f64 -8 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 i) (/.f64 -1 (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8 (*.f64 i i)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -16 i) (/.f64 1 (*.f64 (+.f64 i i) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -16 i) (-.f64 (/.f64 (/.f64 1/2 i) 2) (/.f64 1 (*.f64 (+.f64 i i) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 i) (/.f64 (/.f64 1 (*.f64 i i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 i) (*.f64 i i)) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4 i) (*.f64 i i)) (/.f64 1 (/.f64 2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 -8 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i -4) (/.f64 (/.f64 (/.f64 1/2 i) i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 i)) (/.f64 2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 i i) 4)) (/.f64 -16 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 i (*.f64 i 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 i)) (/.f64 (/.f64 -4 i) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 i)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (/.f64 -2 i)) (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (/.f64 -4 i)) (/.f64 (/.f64 1/2 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (/.f64 (/.f64 -2 i) i)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (/.f64 -4 (*.f64 i i))) (/.f64 1/2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (/.f64 -8 i)) (/.f64 (/.f64 (/.f64 1/2 i) 2) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 i i)) i) (*.f64 -2 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1/2 i) i) i) (*.f64 i -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1/2 i) 2) i) (*.f64 i (/.f64 -8 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 -4 i) (*.f64 i i))) (/.f64 1 (/.f64 -2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -2 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 i) i))))))

simplify597.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational_best-simplify-50`
812×	`rational_best-simplify-108`
724×	`rational_best-simplify-1`
710×	`rational_best-simplify-3`
536×	`rational_best-simplify-67`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	2151
1	550	2129
2	1774	2043
3	7501	2031

Stop Event

1×	node limit

Counts

119 → 131

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 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(/.f64 -2 (pow.f64 i 2))
(+.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 0)
(+.f64 0 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))))
(+.f64 (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))) (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))))
(-.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 0)
(-.f64 (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))) (/.f64 (neg.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))) 2))
(*.f64 1/2 (/.f64 1 (+.f64 8 (/.f64 (/.f64 -2 i) i))))
(*.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 1)
(*.f64 1 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))))
(*.f64 2 (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))))
(.f64 2 (.f64 1/2 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))))
(*.f64 (/.f64 1 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 1/2)
(.f64 4 (/.f64 1/2 (.f64 (+.f64 8 (/.f64 (/.f64 -2 i) i)) 4)))
(.f64 4 (/.f64 1 (.f64 (+.f64 (/.f64 -4 (*.f64 i i)) 16) 4)))
(*.f64 (/.f64 2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 1/4)
(*.f64 (/.f64 1/4 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 2)
(*.f64 1/4 (/.f64 2 (+.f64 8 (/.f64 (/.f64 -2 i) i))))
(.f64 (.f64 1/2 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))) 2)
(.f64 (/.f64 1/2 (.f64 (+.f64 8 (/.f64 (/.f64 -2 i) i)) 4)) 4)
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 -4 (*.f64 i i)) 16) 4)) 4)
(pow.f64 (/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i))) 1)
(+.f64 (/.f64 (/.f64 -2 i) i) 0)
(+.f64 0 (/.f64 (/.f64 -2 i) i))
(+.f64 (/.f64 -1 (.f64 i i)) (/.f64 -1 (.f64 i i)))
(+.f64 (/.f64 (/.f64 -4 (.f64 i i)) 8) (/.f64 (.f64 3/2 (/.f64 (/.f64 -2 i) i)) 2))
(+.f64 (/.f64 (/.f64 -2 i) (.f64 i 4)) (/.f64 (/.f64 -6 i) (.f64 i 4)))
(+.f64 (/.f64 (.f64 3/2 (/.f64 (/.f64 -2 i) i)) 2) (/.f64 (/.f64 -4 (.f64 i i)) 8))
(+.f64 (/.f64 (/.f64 -6 i) (.f64 i 4)) (/.f64 (/.f64 -2 i) (.f64 i 4)))
(-.f64 (/.f64 (/.f64 -2 i) i) 0)
(-.f64 0 (/.f64 (/.f64 2 i) i))
(-.f64 (/.f64 -1 (*.f64 i i)) (/.f64 (neg.f64 (/.f64 -1 i)) i))
(-.f64 (/.f64 -4 (*.f64 i i)) (/.f64 (/.f64 -2 i) i))
(-.f64 (/.f64 (*.f64 3/2 (/.f64 (/.f64 -2 i) i)) 2) (/.f64 (/.f64 (neg.f64 (/.f64 -1 i)) i) 2))
(-.f64 (/.f64 (*.f64 3/2 (/.f64 (/.f64 -2 i) i)) 2) (+.f64 (/.f64 (/.f64 (neg.f64 (/.f64 -1 i)) i) 2) 0))
(-.f64 (/.f64 (/.f64 -6 i) (.f64 i 4)) (/.f64 (/.f64 2 i) (.f64 i 4)))
(-.f64 (/.f64 (/.f64 -6 i) (.f64 i 4)) (+.f64 (/.f64 (/.f64 2 i) (.f64 i 4)) 0))
(-.f64 (neg.f64 (/.f64 1 (.f64 i i))) (/.f64 1 (.f64 i i)))
(.f64 1/2 (/.f64 -4 (.f64 i i)))
(.f64 1/2 (-.f64 (/.f64 -8 (.f64 i i)) (/.f64 -4 (*.f64 i i))))
(.f64 -2 (/.f64 1 (.f64 i i)))
(*.f64 -2 (/.f64 (neg.f64 (/.f64 -1 i)) i))
(.f64 i (/.f64 (/.f64 -2 i) (.f64 i i)))
(*.f64 (/.f64 -2 i) (/.f64 1 i))
(*.f64 (/.f64 (/.f64 -2 i) i) 1)
(*.f64 1 (/.f64 (/.f64 -2 i) i))
(*.f64 -4 (/.f64 (/.f64 1/2 i) i))
(.f64 -4 (-.f64 (/.f64 1 (.f64 i i)) (/.f64 (/.f64 1/2 i) i)))
(*.f64 (/.f64 -4 i) (/.f64 1/2 i))
(*.f64 (/.f64 -4 i) (-.f64 (/.f64 1 i) (/.f64 1/2 i)))
(.f64 -8 (/.f64 1 (.f64 i (*.f64 i 4))))
(.f64 -8 (-.f64 (/.f64 (/.f64 1/2 i) i) (/.f64 1 (.f64 i (*.f64 i 4)))))
(*.f64 (/.f64 2 i) (/.f64 -1 i))
(*.f64 (/.f64 2 i) (/.f64 1 (neg.f64 i)))
(.f64 (/.f64 -1 (.f64 i i)) 2)
(.f64 2 (/.f64 -1 (.f64 i i)))
(.f64 (/.f64 -4 (.f64 i i)) 1/2)
(*.f64 (/.f64 -8 i) (/.f64 (/.f64 1/2 i) 2))
(*.f64 (/.f64 -8 i) (-.f64 (/.f64 1/2 i) (/.f64 (/.f64 1/2 i) 2)))
(*.f64 -1 (/.f64 (/.f64 2 i) i))
(.f64 (/.f64 1 (.f64 i i)) -2)
(.f64 (/.f64 1 (.f64 i i)) (*.f64 i (/.f64 -2 i)))
(*.f64 (/.f64 1 i) (/.f64 -2 i))
(.f64 (/.f64 1 i) (.f64 i (/.f64 (/.f64 -2 i) i)))
(*.f64 (/.f64 1 i) (-.f64 (/.f64 -4 i) (/.f64 -2 i)))
(*.f64 (/.f64 (/.f64 1/2 i) i) -4)
(.f64 (/.f64 (/.f64 1/2 i) i) (.f64 i (/.f64 -4 i)))
(*.f64 (/.f64 1/2 i) (/.f64 -4 i))
(.f64 (/.f64 1/2 i) (.f64 i (/.f64 -4 (*.f64 i i))))
(*.f64 (/.f64 1/2 i) (-.f64 (/.f64 -8 i) (/.f64 -4 i)))
(*.f64 (/.f64 (/.f64 1/2 i) 2) (/.f64 -8 i))
(*.f64 (/.f64 (/.f64 1/2 i) 2) (-.f64 (/.f64 -16 i) (/.f64 -8 i)))
(*.f64 (/.f64 4 i) (/.f64 -1 (+.f64 i i)))
(.f64 (/.f64 -8 (.f64 i i)) 1/4)
(.f64 (/.f64 -16 i) (/.f64 1 (.f64 (+.f64 i i) 4)))
(.f64 (/.f64 -16 i) (-.f64 (/.f64 (/.f64 1/2 i) 2) (/.f64 1 (.f64 (+.f64 i i) 4))))
(.f64 (.f64 -2 i) (/.f64 (/.f64 1 (*.f64 i i)) i))
(.f64 (/.f64 (/.f64 -2 i) (.f64 i i)) i)
(.f64 (/.f64 (/.f64 -4 i) (.f64 i i)) (/.f64 1 (/.f64 2 i)))
(.f64 1/4 (/.f64 -8 (.f64 i i)))
(.f64 (.f64 i -4) (/.f64 (/.f64 (/.f64 1/2 i) i) i))
(*.f64 (/.f64 1 (neg.f64 i)) (/.f64 2 i))
(.f64 (/.f64 1 (.f64 (+.f64 i i) 4)) (/.f64 -16 i))
(.f64 (/.f64 1 (.f64 i (*.f64 i 4))) -8)
(.f64 (/.f64 1 (/.f64 2 i)) (/.f64 (/.f64 -4 i) (.f64 i i)))
(*.f64 (neg.f64 (/.f64 2 i)) (/.f64 1 i))
(.f64 (.f64 i (/.f64 -2 i)) (/.f64 1 (*.f64 i i)))
(.f64 (.f64 i (/.f64 -4 i)) (/.f64 (/.f64 1/2 i) i))
(.f64 (.f64 i (/.f64 (/.f64 -2 i) i)) (/.f64 1 i))
(.f64 (.f64 i (/.f64 -4 (*.f64 i i))) (/.f64 1/2 i))
(.f64 (.f64 i (/.f64 -8 i)) (/.f64 (/.f64 (/.f64 1/2 i) 2) i))
(.f64 (/.f64 (/.f64 1 (.f64 i i)) i) (*.f64 -2 i))
(.f64 (/.f64 (/.f64 (/.f64 1/2 i) i) i) (.f64 i -4))
(.f64 (/.f64 (/.f64 (/.f64 1/2 i) 2) i) (.f64 i (/.f64 -8 i)))
(.f64 (neg.f64 (/.f64 (/.f64 -4 i) (.f64 i i))) (/.f64 1 (/.f64 -2 i)))
(pow.f64 (/.f64 (/.f64 -2 i) i) 1)
(neg.f64 (/.f64 (/.f64 2 i) i))

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -1 (pow.f64 i 4)))
(+.f64 (*.f64 -1/4 (pow.f64 i 2)) (neg.f64 (pow.f64 i 4)))
(-.f64 (*.f64 -1/4 (pow.f64 i 2)) (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))))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (+.f64 (.f64 -4 (pow.f64 i 6)) (neg.f64 (pow.f64 i 4))))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (+.f64 (neg.f64 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (-.f64 (.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)))))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6))) (+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -16 (pow.f64 i 8))))
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(+.f64 (.f64 -1/4 (pow.f64 i 2)) (+.f64 (.f64 -4 (pow.f64 i 6)) (+.f64 (neg.f64 (pow.f64 i 4)) (*.f64 -16 (pow.f64 i 8)))))
(+.f64 (.f64 -1/4 (pow.f64 i 2)) (+.f64 (.f64 -4 (pow.f64 i 6)) (-.f64 (*.f64 -16 (pow.f64 i 8)) (pow.f64 i 4))))
1/16
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(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (pow.f64 i 2)) (/.f64 1/1024 (pow.f64 i 6)))))
1/16
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(.f64 (/.f64 1 (.f64 (+.f64 i i) 4)) (/.f64 -16 i))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (/.f64 1 (.f64 i (*.f64 i 4))) -8)
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (/.f64 1 (/.f64 2 i)) (/.f64 (/.f64 -4 i) (.f64 i i)))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(*.f64 (neg.f64 (/.f64 2 i)) (/.f64 1 i))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (.f64 i (/.f64 -2 i)) (/.f64 1 (*.f64 i i)))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (.f64 i (/.f64 -4 i)) (/.f64 (/.f64 1/2 i) i))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (.f64 i (/.f64 (/.f64 -2 i) i)) (/.f64 1 i))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (.f64 i (/.f64 -4 (*.f64 i i))) (/.f64 1/2 i))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (.f64 i (/.f64 -8 i)) (/.f64 (/.f64 (/.f64 1/2 i) 2) i))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (/.f64 (/.f64 1 (.f64 i i)) i) (*.f64 -2 i))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (/.f64 (/.f64 (/.f64 1/2 i) i) i) (.f64 i -4))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (/.f64 (/.f64 (/.f64 1/2 i) 2) i) (.f64 i (/.f64 -8 i)))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(.f64 (neg.f64 (/.f64 (/.f64 -4 i) (.f64 i i))) (/.f64 1 (/.f64 -2 i)))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(pow.f64 (/.f64 (/.f64 -2 i) i) 1)
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))
(neg.f64 (/.f64 (/.f64 2 i) i))
(/.f64 (/.f64 -2 i) i)
(/.f64 -2 (*.f64 i i))

eval129.0ms (0.6%)

Compiler: Compiled 1855 to 1456 computations (21.5% saved)

prune66.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	131	4	135

Error

Counts

135 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.8b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))
✓	0.3b	(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
✓	0.3b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
	27.8b	1/16

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes57.0ms (0.3%)

Accuracy

Total -56.0b remaining (-18359.5%)

Threshold costs -56.0b (-18359.5%)

Counts

9 → 1

Calls

Call 1

Inputs
1/16
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
(/.f64 1/2 (+.f64 8 (/.f64 (/.f64 -2 i) i)))
(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))
(/.f64 (/.f64 1/4 (/.f64 (/.f64 1 i) i)) (+.f64 (.f64 i (.f64 i 4)) -1))
(/.f64 (/.f64 (.f64 i (.f64 i i)) (.f64 i 4)) (+.f64 (.f64 i (*.f64 i 4)) -1))
(/.f64 (.f64 (/.f64 (.f64 i i) i) (/.f64 (.f64 i i) (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -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))

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

Calls

2 calls:

11.0ms	i
11.0ms	(/.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
0.3b	1	`i`
0.3b	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 160 to 99 computations (38.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

soundness1.7s (8.5%)

Algorithm

3×	egg-herbie

Rules

1374×	`rational_best-simplify-1`
1338×	`rational_best-simplify-49`
1264×	`rational_best-simplify-53`
1022×	`rational_best-simplify-63`
924×	`rational_best-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	37	61
2	149	61
3	817	61
4	5539	49
0	546	12155
1	1304	11867
2	4658	10385
0	410	6980
1	1097	6442
2	3820	6090

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 467 to 315 computations (32.5% saved)

end42.0ms (0.2%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

Details

analyze10.0ms (0.1%)

sample4.2s (20.8%)

preprocess338.0ms (1.7%)

simplify269.0ms (1.3%)

eval6.0ms (0%)

prune4.0ms (0%)

localize83.0ms (0.4%)

series10.0ms (0.1%)

rewrite255.0ms (1.3%)

simplify491.0ms (2.4%)

localize105.0ms (0.5%)

series3.0ms (0%)

rewrite373.0ms (1.8%)

simplify647.0ms (3.2%)

localize65.0ms (0.3%)

series2.0ms (0%)

rewrite561.0ms (2.8%)

simplify916.0ms (4.5%)

eval2.4s (11.8%)

prune1.1s (5.5%)

localize72.0ms (0.4%)

series1.0ms (0%)

rewrite574.0ms (2.8%)

simplify483.0ms (2.4%)

localize53.0ms (0.3%)

series1.0ms (0%)

rewrite813.0ms (4%)

simplify546.0ms (2.7%)

eval1.2s (5.9%)

prune857.0ms (4.2%)

localize31.0ms (0.2%)

series1.0ms (0%)

rewrite320.0ms (1.6%)

simplify285.0ms (1.4%)

eval135.0ms (0.7%)

prune61.0ms (0.3%)

localize43.0ms (0.2%)

series3.0ms (0%)

rewrite314.0ms (1.6%)

simplify597.0ms (3%)

eval129.0ms (0.6%)

prune66.0ms (0.3%)

regimes57.0ms (0.3%)

simplify3.0ms (0%)

soundness1.7s (8.5%)

end42.0ms (0.2%)

Profiling