Details

analyze7.0ms (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)

sample2.0s (35.8%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess105.0ms (1.9%)

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)

simplify104.0ms (1.9%)

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))

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

16.8b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.7b	(/.f64 (/.f64 (.f64 i (.f64 i i)) (.f64 i 4)) (+.f64 (.f64 i (*.f64 i 4)) -1))
▶	16.8b	(/.f64 (.f64 (/.f64 (.f64 i i) i) (/.f64 (.f64 i i) (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	16.2b	(/.f64 (.f64 (/.f64 (.f64 i i) i) (/.f64 (.f64 i i) (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))
✓	29.7b	(/.f64 (.f64 i i) (.f64 i 4))
✓	29.7b	(/.f64 (*.f64 i i) i)

Compiler

Compiled 68 to 32 computations (52.9% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite91.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`rational_best-simplify-80`
708×	`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) i)
(/.f64 (.f64 i i) (.f64 i 4))
(/.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 i 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 i (/.f64 0 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 i (neg.f64 (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 i (-.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 i 1/4) (+.f64 (.f64 i 1/4) (.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 i)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 i) i)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 i i) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 i) (.f64 1/2 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 i 3) 8) (+.f64 (/.f64 i 8) (.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 0 i)) i)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 i i) i)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 i i) (.f64 1/2 i)) (/.f64 (neg.f64 i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 i (.f64 1/2 i)) (-.f64 i (.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 i 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 i (/.f64 0 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 i (neg.f64 (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 i (-.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 i (+.f64 (/.f64 0 i) (neg.f64 (/.f64 0 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 i (+.f64 (neg.f64 (/.f64 0 i)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 i (+.f64 (neg.f64 (/.f64 0 i)) (neg.f64 (/.f64 0 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 i (+.f64 i (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 (neg.f64 i) 2) (/.f64 i -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 i 1/4) (+.f64 (/.f64 (neg.f64 i) 2) (/.f64 (.f64 i (neg.f64 i)) (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 i) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (neg.f64 (/.f64 0 i)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 -1 (/.f64 1 i)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (neg.f64 i) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 i) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 i) (+.f64 (neg.f64 (/.f64 0 i)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 i) (+.f64 (neg.f64 i) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 i i) i)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 i) (/.f64 (neg.f64 i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 i) (+.f64 (/.f64 (neg.f64 i) 2) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 i 3) 8) (+.f64 (/.f64 (neg.f64 i) 2) (neg.f64 (/.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 0 i)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 0 i)) (/.f64 -1 (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 0 i)) (+.f64 (/.f64 0 i) (/.f64 -1 (/.f64 1 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 0 i)) (+.f64 (neg.f64 (/.f64 0 i)) (/.f64 -1 (/.f64 1 i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 0 i)) (+.f64 (/.f64 -1 (/.f64 1 i)) (/.f64 0 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 i) 2) (-.f64 (.f64 1/2 i) (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 i) (/.f64 0 i)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 i) (neg.f64 (/.f64 0 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (/.f64 0 i)) (/.f64 0 i)) (/.f64 -1 (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (neg.f64 (/.f64 0 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (/.f64 0 i)) (neg.f64 (/.f64 0 i))) (/.f64 -1 (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 i i) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 i 1/4) (/.f64 (neg.f64 i) 2)) (/.f64 i -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 i 1/4) (/.f64 (neg.f64 i) 2)) (/.f64 (.f64 i (neg.f64 i)) (.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (.f64 i 3) 8) (/.f64 (neg.f64 i) 2)) (neg.f64 (/.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 -1 (/.f64 1 i))) (/.f64 0 i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 i (.f64 1/2 i)) (-.f64 (.f64 1/2 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 i 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 i (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i i) (/.f64 (/.f64 i i) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i 4) (+.f64 (/.f64 0 i) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i 4) (.f64 1/2 (/.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 i)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i i) i)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (+.f64 i i)) (/.f64 (/.f64 i i) (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (+.f64 i i)) (/.f64 1 (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (+.f64 i i)) (.f64 (/.f64 1 i) (/.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (+.f64 i i)) (.f64 (/.f64 (/.f64 i i) i) (/.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 i i) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 i i) (/.f64 i (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 i 8)) (.f64 (/.f64 1 (.f64 i 4)) (/.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 i 8)) (.f64 (/.f64 (/.f64 i i) (.f64 i 4)) (/.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 i) (.f64 (/.f64 i i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 i) (/.f64 i (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 i) (+.f64 (/.f64 i (.f64 -2 i)) (/.f64 i (.f64 -2 i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 i) (/.f64 (fabs.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 i) (+.f64 (/.f64 (fabs.f64 i) (+.f64 i i)) (/.f64 (fabs.f64 i) (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 i 4)) (/.f64 1 (.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 i 4)) (/.f64 i (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 i 4)) (/.f64 (/.f64 i i) (.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i (.f64 i 4)) (.f64 (/.f64 (/.f64 i i) (+.f64 i i)) (/.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 i) (.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 i 4)) (.f64 i (.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 i i) i) (.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 i i) (+.f64 i i)) (.f64 i (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 i i)) (.f64 i (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 i i) 2) (.f64 1/2 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i (+.f64 i i)) (+.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i (.f64 -2 i)) (.f64 -2 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i (neg.f64 i)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i (neg.f64 i)) (/.f64 (.f64 i i) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 i) (.f64 (/.f64 i (neg.f64 i)) (/.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 i) (+.f64 i i)) (.f64 (fabs.f64 i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 i) i) (fabs.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 i i) (.f64 i 4)) (.f64 i (.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fabs.f64 i) 2) (.f64 (/.f64 (fabs.f64 i) i) (/.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 i) (.f64 i (.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 i 8)) (.f64 i (.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (neg.f64 i) (/.f64 0 i)) (/.f64 i (neg.f64 i)))))) 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Outputs

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simplify156.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational_best-simplify-55`
968×	`rational_best-simplify-50`
938×	`rational_best-simplify-1`
802×	`rational_best-simplify-47`
678×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	565	3783
1	1554	3585
2	6089	3453

Stop Event

1×	node limit

Counts

337 → 343

Calls

Call 1

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

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

localize28.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 i (.f64 i i))
✓	8.7b	(/.f64 (.f64 i (.f64 i i)) (*.f64 i 4))
✓	16.2b	(/.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)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite108.0ms (2%)

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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((#(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)))))

simplify333.0ms (6.1%)

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

eval786.0ms (14.4%)

Compiler: Compiled 24775 to 15388 computations (37.9% saved)

prune496.0ms (9.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	880	2	882
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	882	2	884

Error

Counts

884 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.8b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))
	30.6b	1/16

Compiler

Compiled 16 to 12 computations (25% saved)

localize49.0ms (0.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.2b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))

Compiler

Compiled 40 to 24 computations (40% saved)

series0.0ms (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))

rewrite154.0ms (2.8%)

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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simplify186.0ms (3.4%)

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))))

eval166.0ms (3%)

Compiler: Compiled 6026 to 4235 computations (29.7% saved)

prune32.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	244	2	246

Error

Counts

246 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.8b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))
	30.6b	1/16

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune65.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	1	1
Total	2	2

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.8b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))
	30.6b	1/16

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	1	1
Total	2	2

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.8b	(/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1))
	30.6b	1/16

Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.3%)

Accuracy

Total -55.5b remaining (-∞%)

Threshold costs -55.5b (-∞%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	i
5.0ms	(/.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
0b	2	`i`
14.3b	2	`(/.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 106 to 65 computations (38.7% saved)

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
7.0ms	6457.793861003783	529888264.84991664

Results

6.0ms

48×

body

256

valid

Compiler

Compiled 84 to 62 computations (26.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 i 50000000) (/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1)) 1/16)
1/16

Outputs
(if (<=.f64 i 50000000) (/.f64 (/.f64 (.f64 i i) 4) (+.f64 (.f64 i (*.f64 i 4)) -1)) 1/16)
1/16

Compiler

Compiled 21 to 16 computations (23.8% saved)

soundness568.0ms (10.4%)

Algorithm

3×	egg-herbie

Rules

1338×	`rational_best-simplify-49`
1338×	`rational_best-simplify-49`
1308×	`rational_best-simplify-49`
1264×	`rational_best-simplify-53`
1264×	`rational_best-simplify-53`

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	729	19866
1	2166	16162
0	12	73
1	37	61
2	149	61
3	817	61
4	5539	49

Stop Event

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

Compiler

Compiled 720 to 449 computations (37.6% saved)

end20.0ms (0.4%)

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

Details

analyze7.0ms (0.1%)

sample2.0s (35.8%)

preprocess105.0ms (1.9%)

simplify104.0ms (1.9%)

eval2.0ms (0%)

prune2.0ms (0%)

localize23.0ms (0.4%)

series3.0ms (0.1%)

rewrite91.0ms (1.7%)

simplify156.0ms (2.9%)

localize28.0ms (0.5%)

series2.0ms (0%)

rewrite108.0ms (2%)

simplify333.0ms (6.1%)

eval786.0ms (14.4%)

prune496.0ms (9.1%)

localize49.0ms (0.9%)

series0.0ms (0%)

rewrite154.0ms (2.8%)

simplify186.0ms (3.4%)

eval166.0ms (3%)

prune32.0ms (0.6%)

eval0.0ms (0%)

prune65.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes15.0ms (0.3%)

bsearch7.0ms (0.1%)

simplify2.0ms (0%)

soundness568.0ms (10.4%)

end20.0ms (0.4%)

Profiling