Details

analyze57.0ms (2.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
50.8%	50%	48.4%	0.1%	1.6%	0%	0%	7
60.8%	59.3%	38.2%	0.1%	2.3%	0%	0%	8
70.8%	67.1%	27.7%	0.1%	5.1%	0%	0%	9
77.3%	72.6%	21.3%	0.1%	6%	0%	0%	10
83.9%	76.9%	14.7%	0.1%	8.3%	0%	0%	11
87.7%	79.8%	11.2%	0.1%	8.9%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample699.0ms (28.7%)

Results

660.0ms	8255×	body	256	valid
28.0ms	343×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess12.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

12×	`rational.json-simplify-1`
6×	`rational.json-simplify-41`
2×	`swap-x-y`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	16	38
2	20	38
3	21	38
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 y x) y) x)

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 x y)))
(+.f64 x (+.f64 y (*.f64 x y)))
(+.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 y (+.f64 x (*.f64 x y)))
(+.f64 x (+.f64 y (*.f64 x y)))

Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-1`
4×	`rational.json-simplify-41`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	10	19
2	14	19
3	18	19

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 x y)))
(+.f64 x (+.f64 (*.f64 x y) y))
(+.f64 x (+.f64 y (*.f64 x y)))

eval1.0ms (0%)

Compiler: Compiled 30 to 11 computations (63.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	0.0b	(+.f64 (*.f64 x y) x)

Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (*.f64 x y) x)
0.0ms	y	@	inf	(+.f64 (*.f64 x y) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 x y) x)
0.0ms	x	@	0	(+.f64 (*.f64 x y) x)
0.0ms	y	@	0	(+.f64 (*.f64 x y) x)

rewrite115.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`rational.json-1`
1696×	`rational.json-2`
1696×	`rational.json-3`
1690×	`exponential.json-3`
1690×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	47	32
2	109	32
3	260	32
4	562	32
5	1481	32
6	3454	32
7	5489	32
8	7139	32

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(+.f64 (*.f64 x y) x)
(+.f64 (+.f64 (*.f64 x y) x) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 1/2 (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 x (.f64 (+.f64 y 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 x 1/4) (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 y (+.f64 y 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (+.f64 y 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (+.f64 (.f64 y 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (+.f64 1/2 (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 1/4 (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 y 1) (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 x 8) (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 4 (+.f64 y 1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (/.f64 (+.f64 y 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 1/4 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 1/8 (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (/.f64 x 8) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 x y)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 8) (.f64 1/8 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y (+.f64 y 2)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 x (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 y (+.f64 x x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 x x) (.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 (+.f64 y 1) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (+.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (+.f64 (+.f64 y y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (+.f64 2 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 x 8)) (.f64 1/16 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y 1) 4) (.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 x (.f64 4 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y 1) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y 1) (.f64 x 1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 y (+.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 4 (+.f64 y 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 x y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 y (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 x (+.f64 y (+.f64 y 2))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 y y) (.f64 x (+.f64 y (+.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 y (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y (+.f64 x 1))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/2 (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (*.f64 (+.f64 y 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x 1/4) (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y (+.f64 y 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (+.f64 y 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (*.f64 y 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/4 (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 y 1) (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x 8) (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 4 (+.f64 y 1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 (+.f64 y 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/4 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/8 (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 x 8) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 x y)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) (*.f64 1/8 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (+.f64 y 2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (+.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 y (+.f64 x x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (+.f64 y 1) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 (+.f64 y y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 2 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 8)) (*.f64 1/16 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) 4) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x (*.f64 4 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (*.f64 x 1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 y (+.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 4 (+.f64 y 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 x y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 x y)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 x y)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x y)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x (+.f64 y (+.f64 y 2))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 y y) (*.f64 x (+.f64 y (+.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1)))))

simplify230.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

2004×	`rational.json-simplify-35`
1790×	`rational.json-simplify-2`
1080×	`rational.json-simplify-53`
852×	`rational.json-simplify-51`
832×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1753
1	340	1753
2	773	1753
3	1835	1753
4	3448	1753
5	4128	1753
6	4533	1753
7	4832	1753
8	5170	1753
9	5635	1753
10	6992	1753
11	7582	1753

Stop Event

1×	node limit

Counts

115 → 88

Calls

Call 1

Inputs
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
y
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(*.f64 (+.f64 1 y) x)
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(+.f64 y (.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x)))
x
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(-.f64 (+.f64 x (*.f64 x y)) 0)
(*.f64 x (+.f64 y 1))
(.f64 x (.f64 1/2 (+.f64 y (+.f64 y 2))))
(.f64 (+.f64 x (.f64 x y)) 1)
(.f64 1 (+.f64 x (.f64 x y)))
(.f64 2 (.f64 x (*.f64 (+.f64 y 1) 1/2)))
(.f64 2 (.f64 (*.f64 x 1/4) (+.f64 y (+.f64 y 2))))
(.f64 (.f64 x (+.f64 y (+.f64 y 2))) 1/2)
(.f64 (+.f64 x x) (.f64 (+.f64 y 1) 1/2))
(.f64 (+.f64 x x) (+.f64 (.f64 y 1/2) 1/2))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 y 1/2)))
(.f64 (+.f64 x x) (.f64 1/4 (+.f64 y (+.f64 y 2))))
(*.f64 (+.f64 y 1) x)
(.f64 4 (.f64 (+.f64 y 1) (*.f64 x 1/4)))
(.f64 4 (.f64 (/.f64 x 8) (+.f64 y (+.f64 y 2))))
(.f64 (.f64 x (*.f64 4 (+.f64 y 1))) 1/4)
(.f64 (.f64 x 4) (/.f64 (+.f64 y 1) 4))
(.f64 (.f64 x 4) (*.f64 1/4 (+.f64 y 1)))
(.f64 (.f64 x 4) (*.f64 1/8 (+.f64 y (+.f64 y 2))))
(.f64 8 (.f64 (/.f64 x 8) (+.f64 y 1)))
(.f64 (.f64 (+.f64 x (*.f64 x y)) 8) 1/8)
(.f64 (.f64 x 8) (*.f64 1/8 (+.f64 y 1)))
(.f64 (+.f64 y (+.f64 y 2)) (.f64 x 1/2))
(.f64 1/2 (.f64 x (+.f64 y (+.f64 y 2))))
(.f64 1/2 (+.f64 (.f64 y (+.f64 x x)) (+.f64 x x)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 y (+.f64 x x))))
(.f64 (.f64 x (*.f64 (+.f64 y 1) 1/2)) 2)
(.f64 (.f64 x 1/2) (+.f64 y (+.f64 y 2)))
(.f64 (.f64 x 1/2) (+.f64 (+.f64 y y) 2))
(.f64 (.f64 x 1/2) (+.f64 2 (+.f64 y y)))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/16 (+.f64 y 1)))
(.f64 (.f64 (+.f64 y 1) 4) (*.f64 x 1/4))
(.f64 1/4 (.f64 x (*.f64 4 (+.f64 y 1))))
(.f64 (.f64 (+.f64 y 1) 1/2) (+.f64 x x))
(.f64 (.f64 (+.f64 y 1) (*.f64 x 1/4)) 4)
(/.f64 (+.f64 x (*.f64 x y)) 1)
(/.f64 (*.f64 x (+.f64 y (+.f64 y 2))) 2)
(/.f64 (.f64 x (.f64 4 (+.f64 y 1))) 4)
(/.f64 (.f64 (+.f64 x (.f64 x y)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 x y)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 x y)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8))))) 128)
(pow.f64 (+.f64 x (*.f64 x y)) 1)
(-.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 0)
(.f64 (+.f64 x (.f64 y (+.f64 x 1))) 1)
(.f64 1 (+.f64 x (.f64 y (+.f64 x 1))))
(.f64 2 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/2))
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 2) 1/2)
(.f64 4 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/4))
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 4) 1/4)
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8) 1/8)
(.f64 1/2 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 2))
(.f64 1/2 (+.f64 (.f64 x (+.f64 y (+.f64 y 2))) (+.f64 y y)))
(.f64 1/2 (+.f64 (+.f64 y y) (.f64 x (+.f64 y (+.f64 y 2)))))
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 4))
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/4) 4)
(/.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1)
(/.f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 2) 2)
(/.f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 4) 4)
(/.f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8))))) 128)
(pow.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1)

Outputs
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 1 y))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 1 y))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 1 y))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 1 y))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 1 y))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 1 y))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 1 y))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 1 y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 1 y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 1 y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 1 y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 1 y))
x
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
y
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 1 y)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 1 y)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 1 y)))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 1 y))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 1 y)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 1 y)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 1 y)))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x))
(*.f64 x (+.f64 1 y))
(+.f64 y (.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (*.f64 x (+.f64 1 y)))
(+.f64 y (.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (*.f64 x (+.f64 1 y)))
(+.f64 y (.f64 -1 (.f64 (-.f64 (*.f64 -1 y) 1) x)))
(+.f64 y (*.f64 x (+.f64 1 y)))
x
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 1 x)))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 1 x)))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 1 x)))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 1 x)))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 1 x)))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 y (+.f64 1 x)))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 y (+.f64 1 x)))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 y (+.f64 1 x)))
(-.f64 (+.f64 x (*.f64 x y)) 0)
(+.f64 x (*.f64 y x))
(*.f64 x (+.f64 y 1))
(*.f64 x (+.f64 1 y))
(.f64 x (.f64 1/2 (+.f64 y (+.f64 y 2))))
(*.f64 x (+.f64 1 y))
(.f64 (+.f64 x (.f64 x y)) 1)
(+.f64 x (*.f64 y x))
(.f64 1 (+.f64 x (.f64 x y)))
(+.f64 x (*.f64 y x))
(.f64 2 (.f64 x (*.f64 (+.f64 y 1) 1/2)))
(*.f64 x (+.f64 1 y))
(.f64 2 (.f64 (*.f64 x 1/4) (+.f64 y (+.f64 y 2))))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 x (+.f64 y (+.f64 y 2))) 1/2)
(*.f64 x (+.f64 1 y))
(.f64 (+.f64 x x) (.f64 (+.f64 y 1) 1/2))
(*.f64 x (+.f64 1 y))
(.f64 (+.f64 x x) (+.f64 (.f64 y 1/2) 1/2))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 y 1/2)))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 y 1/2)))
(.f64 (+.f64 x x) (.f64 1/4 (+.f64 y (+.f64 y 2))))
(*.f64 x (+.f64 1 y))
(*.f64 (+.f64 y 1) x)
(*.f64 x (+.f64 1 y))
(.f64 4 (.f64 (+.f64 y 1) (*.f64 x 1/4)))
(*.f64 x (+.f64 1 y))
(.f64 4 (.f64 (/.f64 x 8) (+.f64 y (+.f64 y 2))))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 x (*.f64 4 (+.f64 y 1))) 1/4)
(*.f64 x (+.f64 1 y))
(.f64 (.f64 x 4) (/.f64 (+.f64 y 1) 4))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 x 4) (*.f64 1/4 (+.f64 y 1)))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 x 4) (*.f64 1/8 (+.f64 y (+.f64 y 2))))
(*.f64 x (+.f64 1 y))
(.f64 8 (.f64 (/.f64 x 8) (+.f64 y 1)))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 (+.f64 x (*.f64 x y)) 8) 1/8)
(+.f64 x (*.f64 y x))
(.f64 (.f64 x 8) (*.f64 1/8 (+.f64 y 1)))
(*.f64 x (+.f64 1 y))
(.f64 (+.f64 y (+.f64 y 2)) (.f64 x 1/2))
(*.f64 x (+.f64 1 y))
(.f64 1/2 (.f64 x (+.f64 y (+.f64 y 2))))
(*.f64 x (+.f64 1 y))
(.f64 1/2 (+.f64 (.f64 y (+.f64 x x)) (+.f64 x x)))
(+.f64 x (*.f64 y x))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 y (+.f64 x x))))
(+.f64 x (*.f64 y x))
(.f64 (.f64 x (*.f64 (+.f64 y 1) 1/2)) 2)
(*.f64 x (+.f64 1 y))
(.f64 (.f64 x 1/2) (+.f64 y (+.f64 y 2)))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 x 1/2) (+.f64 (+.f64 y y) 2))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 x 1/2) (+.f64 2 (+.f64 y y)))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/16 (+.f64 y 1)))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 (+.f64 y 1) 4) (*.f64 x 1/4))
(*.f64 x (+.f64 1 y))
(.f64 1/4 (.f64 x (*.f64 4 (+.f64 y 1))))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 (+.f64 y 1) 1/2) (+.f64 x x))
(*.f64 x (+.f64 1 y))
(.f64 (.f64 (+.f64 y 1) (*.f64 x 1/4)) 4)
(*.f64 x (+.f64 1 y))
(/.f64 (+.f64 x (*.f64 x y)) 1)
(+.f64 x (*.f64 y x))
(/.f64 (*.f64 x (+.f64 y (+.f64 y 2))) 2)
(*.f64 x (+.f64 1 y))
(/.f64 (.f64 x (.f64 4 (+.f64 y 1))) 4)
(*.f64 x (+.f64 1 y))
(/.f64 (.f64 (+.f64 x (.f64 x y)) 8) 8)
(+.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 x y)) 8)) 16)
(+.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8))) 32)
(+.f64 x (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 x y)) 8)))) 64)
(+.f64 x (*.f64 y x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 x y)) 8))))) 128)
(+.f64 x (*.f64 y x))
(pow.f64 (+.f64 x (*.f64 x y)) 1)
(+.f64 x (*.f64 y x))
(-.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 0)
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 (+.f64 x (.f64 y (+.f64 x 1))) 1)
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 1 (+.f64 x (.f64 y (+.f64 x 1))))
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 2 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/2))
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 2) 1/2)
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 4 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/4))
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 4) 1/4)
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8) 1/8)
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 1/2 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 2))
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 1/2 (+.f64 (.f64 x (+.f64 y (+.f64 y 2))) (+.f64 y y)))
(.f64 1/2 (+.f64 y (+.f64 y (.f64 x (+.f64 y (+.f64 y 2))))))
(.f64 1/2 (+.f64 y (+.f64 y (.f64 (*.f64 x (+.f64 1 y)) 2))))
(.f64 1/2 (+.f64 y (+.f64 y (.f64 x (*.f64 (+.f64 1 y) 2)))))
(.f64 1/2 (+.f64 (.f64 (+.f64 1 y) (+.f64 x x)) (+.f64 y y)))
(.f64 1/2 (+.f64 (+.f64 y y) (.f64 x (+.f64 y (+.f64 y 2)))))
(.f64 1/2 (+.f64 y (+.f64 y (.f64 x (+.f64 y (+.f64 y 2))))))
(.f64 1/2 (+.f64 y (+.f64 y (.f64 (*.f64 x (+.f64 1 y)) 2))))
(.f64 1/2 (+.f64 y (+.f64 y (.f64 x (*.f64 (+.f64 1 y) 2)))))
(.f64 1/2 (+.f64 (.f64 (+.f64 1 y) (+.f64 x x)) (+.f64 y y)))
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/2) 2)
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 1/4 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 4))
(+.f64 x (*.f64 y (+.f64 1 x)))
(.f64 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1/4) 4)
(+.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1)
(+.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 2) 2)
(+.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 4) 4)
(+.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8) 8)
(+.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8)) 16)
(+.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8))) 32)
(+.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 8)))) 64)
(+.f64 x (*.f64 y (+.f64 1 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (+.f64 x 1))) 8))))) 128)
(+.f64 x (*.f64 y (+.f64 1 x)))
(pow.f64 (+.f64 x (*.f64 y (+.f64 x 1))) 1)
(+.f64 x (*.f64 y (+.f64 1 x)))

eval18.0ms (0.7%)

Compiler: Compiled 964 to 616 computations (36.1% saved)

prune13.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	4	89

Error

0.0b

Counts

89 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (*.f64 (+.f64 y 1) x) y)
▶	28.7b	(+.f64 (*.f64 y x) y)
▶	8.3b	(+.f64 x y)
	36.2b	y

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 21

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+.f64 (*.f64 y x) y)
0.0ms	y	@	0	(+.f64 (*.f64 y x) y)
0.0ms	y	@	-inf	(+.f64 (*.f64 y x) y)
0.0ms	x	@	inf	(+.f64 (*.f64 y x) y)
0.0ms	x	@	-inf	(+.f64 (*.f64 y x) y)

rewrite193.0ms (8%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`rational.json-simplify-1`
1654×	`rational.json-simplify-35`
1514×	`exponential.json-3`
1514×	`rational.json-1`
1514×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	94	13
3	209	13
4	397	13
5	907	13
6	2467	13
7	4683	13
8	5582	13
9	6931	13
10	7998	13
11	7998	13

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(+.f64 (*.f64 y x) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y (.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 y (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 y (.f64 (+.f64 x 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y y) (+.f64 x 1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 (+.f64 x 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 (+.f64 x (+.f64 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (+.f64 1/2 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 y (/.f64 (+.f64 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 y 8) (+.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (.f64 (+.f64 x 1) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (/.f64 (+.f64 x 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 4) (.f64 1/8 (+.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (/.f64 y 8) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (.f64 1/2 (.f64 y 1/4)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) (.f64 y 8)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 8) (.f64 1/8 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 x 2)) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 y y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (.f64 (+.f64 x 1) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 1/2) (+.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 y 8)) (.f64 1/16 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) 4) (.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 y (.f64 (+.f64 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 (+.f64 x 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 1/4) (.f64 (+.f64 x 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 x 1) (.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) 1/4) (.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x 1) 4) (.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 x 1/2)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 y y) (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 (+.f64 x 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x 1) (.f64 y 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x 1) (.f64 y 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (.f64 y 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (.f64 y 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (.f64 y 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (.f64 y 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 y x)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (*.f64 (+.f64 x 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y y) (+.f64 x 1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (+.f64 x 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (+.f64 x (+.f64 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (+.f64 1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 y (/.f64 (+.f64 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 y 8) (+.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 (+.f64 x 1) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 (+.f64 x 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/8 (+.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 y 8) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (*.f64 1/2 (*.f64 y 1/4)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (*.f64 y 8)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 8) (*.f64 1/8 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x 2)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 y y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 (+.f64 x 1) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (+.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 y 8)) (*.f64 1/16 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 4) (*.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y (*.f64 (+.f64 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (+.f64 x 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/4) (*.f64 (+.f64 x 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x 1) (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1/4) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) 4) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 x 1/2)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y y) (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 x 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) (*.f64 y 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x 1) (*.f64 y 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x 1) (*.f64 y 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x 1) (*.f64 y 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x 1) (*.f64 y 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x 1) (*.f64 y 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 y x)) 1)))))

simplify141.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1898×	`rational.json-simplify-35`
1324×	`rational.json-simplify-51`
1082×	`rational.json-simplify-41`
1044×	`rational.json-simplify-2`
974×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	845
1	247	845
2	481	845
3	881	845
4	1616	845
5	4515	845
6	5747	845
7	6374	845
8	6970	845
9	7458	845

Stop Event

1×	node limit

Counts

65 → 51

Calls

Call 1

Inputs
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
y
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(-.f64 (+.f64 y (*.f64 y x)) 0)
(*.f64 y (+.f64 x 1))
(.f64 (+.f64 y (.f64 y x)) 1)
(.f64 1 (+.f64 y (.f64 y x)))
(.f64 2 (.f64 y (*.f64 (+.f64 x 1) 1/2)))
(.f64 (.f64 (+.f64 y y) (+.f64 x 1)) 1/2)
(.f64 (+.f64 y y) (.f64 (+.f64 x 1) 1/2))
(.f64 (+.f64 y y) (.f64 (+.f64 x (+.f64 x 2)) 1/4))
(.f64 (+.f64 y y) (+.f64 1/2 (.f64 x 1/2)))
(*.f64 (+.f64 x 1) y)
(.f64 4 (.f64 y (/.f64 (+.f64 x 1) 4)))
(.f64 4 (.f64 (/.f64 y 8) (+.f64 x (+.f64 x 2))))
(.f64 (.f64 y (*.f64 (+.f64 x 1) 4)) 1/4)
(.f64 (.f64 y 4) (*.f64 (+.f64 x 1) 1/4))
(.f64 (.f64 y 4) (/.f64 (+.f64 x 1) 4))
(.f64 (.f64 y 4) (*.f64 1/8 (+.f64 x (+.f64 x 2))))
(.f64 8 (.f64 (/.f64 y 8) (+.f64 x 1)))
(.f64 8 (.f64 (.f64 1/2 (.f64 y 1/4)) (+.f64 x 1)))
(.f64 (.f64 (+.f64 x 1) (*.f64 y 8)) 1/8)
(.f64 (.f64 y 8) (*.f64 1/8 (+.f64 x 1)))
(.f64 (+.f64 x (+.f64 x 2)) (.f64 y 1/2))
(.f64 1/2 (.f64 (+.f64 y y) (+.f64 x 1)))
(.f64 (.f64 y (*.f64 (+.f64 x 1) 1/2)) 2)
(.f64 (.f64 y 1/2) (+.f64 x (+.f64 x 2)))
(.f64 (.f64 2 (.f64 y 8)) (.f64 1/16 (+.f64 x 1)))
(.f64 (.f64 (+.f64 x 1) 4) (*.f64 y 1/4))
(.f64 1/4 (.f64 y (*.f64 (+.f64 x 1) 4)))
(.f64 (.f64 (+.f64 x 1) 1/2) (+.f64 y y))
(.f64 (.f64 y (/.f64 (+.f64 x 1) 4)) 4)
(.f64 (.f64 y 1/4) (*.f64 (+.f64 x 1) 4))
(.f64 1/8 (.f64 (+.f64 x 1) (*.f64 y 8)))
(.f64 (.f64 (+.f64 x 1) 1/4) (*.f64 y 4))
(.f64 (/.f64 (+.f64 x 1) 4) (.f64 y 4))
(.f64 (+.f64 1/2 (.f64 x 1/2)) (+.f64 y y))
(/.f64 (+.f64 y (*.f64 y x)) 1)
(/.f64 (*.f64 (+.f64 y y) (+.f64 x 1)) 2)
(/.f64 (.f64 y (.f64 (+.f64 x 1) 4)) 4)
(/.f64 (.f64 (+.f64 x 1) (.f64 y 8)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x 1) (*.f64 y 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (.f64 y 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (*.f64 y 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (.f64 y 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (*.f64 y 8))))))) 256)
(pow.f64 (+.f64 y (*.f64 y x)) 1)

Outputs
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 1 x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 1 x))
y
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(+.f64 y (*.f64 y x))
(*.f64 y (+.f64 1 x))
(-.f64 (+.f64 y (*.f64 y x)) 0)
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 x 1))
(*.f64 y (+.f64 1 x))
(.f64 (+.f64 y (.f64 y x)) 1)
(*.f64 y (+.f64 1 x))
(.f64 1 (+.f64 y (.f64 y x)))
(*.f64 y (+.f64 1 x))
(.f64 2 (.f64 y (*.f64 (+.f64 x 1) 1/2)))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 (+.f64 y y) (+.f64 x 1)) 1/2)
(*.f64 y (+.f64 1 x))
(.f64 (+.f64 y y) (.f64 (+.f64 x 1) 1/2))
(*.f64 y (+.f64 1 x))
(.f64 (+.f64 y y) (.f64 (+.f64 x (+.f64 x 2)) 1/4))
(*.f64 y (+.f64 1 x))
(.f64 (+.f64 y y) (+.f64 1/2 (.f64 x 1/2)))
(*.f64 (+.f64 x 1) y)
(*.f64 y (+.f64 1 x))
(.f64 4 (.f64 y (/.f64 (+.f64 x 1) 4)))
(*.f64 y (+.f64 1 x))
(.f64 4 (.f64 (/.f64 y 8) (+.f64 x (+.f64 x 2))))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 y (*.f64 (+.f64 x 1) 4)) 1/4)
(*.f64 y (+.f64 1 x))
(.f64 (.f64 y 4) (*.f64 (+.f64 x 1) 1/4))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 y 4) (/.f64 (+.f64 x 1) 4))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 y 4) (*.f64 1/8 (+.f64 x (+.f64 x 2))))
(*.f64 y (+.f64 1 x))
(.f64 8 (.f64 (/.f64 y 8) (+.f64 x 1)))
(*.f64 y (+.f64 1 x))
(.f64 8 (.f64 (.f64 1/2 (.f64 y 1/4)) (+.f64 x 1)))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 (+.f64 x 1) (*.f64 y 8)) 1/8)
(*.f64 y (+.f64 1 x))
(.f64 (.f64 y 8) (*.f64 1/8 (+.f64 x 1)))
(*.f64 y (+.f64 1 x))
(.f64 (+.f64 x (+.f64 x 2)) (.f64 y 1/2))
(*.f64 y (+.f64 1 x))
(.f64 1/2 (.f64 (+.f64 y y) (+.f64 x 1)))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 y (*.f64 (+.f64 x 1) 1/2)) 2)
(*.f64 y (+.f64 1 x))
(.f64 (.f64 y 1/2) (+.f64 x (+.f64 x 2)))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 2 (.f64 y 8)) (.f64 1/16 (+.f64 x 1)))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 (+.f64 x 1) 4) (*.f64 y 1/4))
(*.f64 y (+.f64 1 x))
(.f64 1/4 (.f64 y (*.f64 (+.f64 x 1) 4)))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 (+.f64 x 1) 1/2) (+.f64 y y))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 y (/.f64 (+.f64 x 1) 4)) 4)
(*.f64 y (+.f64 1 x))
(.f64 (.f64 y 1/4) (*.f64 (+.f64 x 1) 4))
(*.f64 y (+.f64 1 x))
(.f64 1/8 (.f64 (+.f64 x 1) (*.f64 y 8)))
(*.f64 y (+.f64 1 x))
(.f64 (.f64 (+.f64 x 1) 1/4) (*.f64 y 4))
(*.f64 y (+.f64 1 x))
(.f64 (/.f64 (+.f64 x 1) 4) (.f64 y 4))
(*.f64 y (+.f64 1 x))
(.f64 (+.f64 1/2 (.f64 x 1/2)) (+.f64 y y))
(.f64 (+.f64 y y) (+.f64 1/2 (.f64 x 1/2)))
(/.f64 (+.f64 y (*.f64 y x)) 1)
(*.f64 y (+.f64 1 x))
(/.f64 (*.f64 (+.f64 y y) (+.f64 x 1)) 2)
(*.f64 y (+.f64 1 x))
(/.f64 (.f64 y (.f64 (+.f64 x 1) 4)) 4)
(*.f64 y (+.f64 1 x))
(/.f64 (.f64 (+.f64 x 1) (.f64 y 8)) 8)
(*.f64 y (+.f64 1 x))
(/.f64 (.f64 2 (.f64 (+.f64 x 1) (*.f64 y 8))) 16)
(*.f64 y (+.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (.f64 y 8)))) 32)
(*.f64 y (+.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (*.f64 y 8))))) 64)
(*.f64 y (+.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (.f64 y 8)))))) 128)
(*.f64 y (+.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x 1) (*.f64 y 8))))))) 256)
(*.f64 y (+.f64 1 x))
(pow.f64 (+.f64 y (*.f64 y x)) 1)
(*.f64 y (+.f64 1 x))

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (+.f64 y 1) x) y)
✓	0.0b	(*.f64 (+.f64 y 1) x)

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(+.f64 (*.f64 (+.f64 y 1) x) y)
0.0ms	x	@	inf	(*.f64 (+.f64 y 1) x)
0.0ms	x	@	-inf	(*.f64 (+.f64 y 1) x)
0.0ms	x	@	0	(*.f64 (+.f64 y 1) x)
0.0ms	y	@	0	(*.f64 (+.f64 y 1) x)

rewrite220.0ms (9%)

Algorithm

1×	batch-egg-rewrite

Rules

2688×	`rational.json-simplify-35`
1396×	`rational.json-simplify-1`
1234×	`exponential.json-3`
1234×	`rational.json-1`
1234×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	63	32
2	141	32
3	266	32
4	505	32
5	1111	32
6	2554	32
7	4062	32
8	5326	32
9	6605	32
10	7194	32
11	7194	32
12	7194	32

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(*.f64 (+.f64 y 1) x)
(+.f64 (*.f64 (+.f64 y 1) x) y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 1) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 1) (*.f64 x 1/2)) (*.f64 (+.f64 y 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 y 1) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 y (+.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y 1) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y 1) (*.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 y 1) (*.f64 x 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y 1) (*.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y 1) (*.f64 x 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y 1) (*.f64 x 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y 1) (*.f64 x 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y 1) (*.f64 x 8))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y 1) (*.f64 x 8)))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y 1) x) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (*.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 y y) (*.f64 x (+.f64 y (+.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 y y) (*.f64 x (+.f64 y (+.f64 y 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1)))))

simplify469.0ms (19.3%)

Algorithm

1×	egg-herbie

Rules

4526×	`rational.json-simplify-41`
2530×	`rational.json-simplify-35`
2064×	`rational.json-simplify-2`
806×	`rational.json-simplify-51`
732×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1373
1	245	1373
2	673	1373
3	1732	1373
4	3266	1373
5	4065	1373
6	4429	1373
7	4758	1373
8	4989	1373
9	5147	1373
10	5281	1373
11	5635	1373
12	5667	1373
13	5710	1373
14	5756	1373
15	5844	1373
16	5907	1373
17	6072	1373
18	6194	1373
19	6316	1373

Stop Event

1×	node limit

Counts

89 → 59

Calls

Call 1

Inputs
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
x
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 (*.f64 (+.f64 1 x) y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
y
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(*.f64 (+.f64 1 y) x)
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(*.f64 (+.f64 1 y) x)
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 (*.f64 (+.f64 y 1) x) 0)
(+.f64 0 (*.f64 (+.f64 y 1) x))
(+.f64 (.f64 (+.f64 y 1) (.f64 x 1/2)) (.f64 (+.f64 y 1) (.f64 x 1/2)))
(-.f64 (*.f64 (+.f64 y 1) x) 0)
(/.f64 (*.f64 (+.f64 y 1) x) 1)
(/.f64 (*.f64 x (+.f64 y (+.f64 y 2))) 2)
(/.f64 (.f64 (+.f64 y 1) (.f64 x 4)) 4)
(/.f64 (.f64 (+.f64 y 1) (.f64 x 8)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 y 1) (*.f64 x 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (.f64 x 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (*.f64 x 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (.f64 x 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (*.f64 x 8))))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (.f64 x 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (.f64 x 8)))))))) 512)
(pow.f64 (*.f64 (+.f64 y 1) x) 1)
(-.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 0)
(.f64 1 (+.f64 y (.f64 (+.f64 y 1) x)))
(.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 1)
(.f64 2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/2))
(.f64 4 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/4))
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 2) 1/2)
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 2))
(.f64 1/2 (+.f64 (+.f64 y y) (.f64 x (+.f64 y (+.f64 y 2)))))
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8) 1/8)
(.f64 1/4 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 4))
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/2) 2)
(.f64 1/8 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8))
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/4) 4)
(.f64 (+.f64 (+.f64 y y) (.f64 x (+.f64 y (+.f64 y 2)))) 1/2)
(/.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1)
(/.f64 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 2) 2)
(/.f64 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 4) 4)
(/.f64 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8))))))) 512)
(pow.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1)

Outputs
x
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
x
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 x 1)))
(+.f64 x (*.f64 y (-.f64 x -1)))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 x 1)))
(+.f64 x (*.f64 y (-.f64 x -1)))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 x 1)))
(+.f64 x (*.f64 y (-.f64 x -1)))
(*.f64 (+.f64 1 x) y)
(*.f64 y (+.f64 x 1))
(*.f64 y (-.f64 x -1))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 x 1)))
(+.f64 x (*.f64 y (-.f64 x -1)))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 x 1)))
(+.f64 x (*.f64 y (-.f64 x -1)))
(+.f64 (*.f64 (+.f64 1 x) y) x)
(+.f64 x (*.f64 y (+.f64 x 1)))
(+.f64 x (*.f64 y (-.f64 x -1)))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y))
(*.f64 y (+.f64 x 1))
(*.f64 y (-.f64 x -1))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 y (+.f64 x 1)))
(+.f64 x (*.f64 y (-.f64 x -1)))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 y (+.f64 x 1)))
(+.f64 x (*.f64 y (-.f64 x -1)))
(+.f64 x (.f64 -1 (.f64 (-.f64 (*.f64 -1 x) 1) y)))
(+.f64 x (*.f64 y (+.f64 x 1)))
(+.f64 x (*.f64 y (-.f64 x -1)))
y
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 y 1)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 y 1)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 y 1)))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 y 1)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 y 1)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 y 1)))
(*.f64 (+.f64 1 y) x)
(*.f64 x (+.f64 y 1))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 y 1)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 y 1)))
(+.f64 y (*.f64 (+.f64 1 y) x))
(+.f64 y (*.f64 x (+.f64 y 1)))
(+.f64 (*.f64 (+.f64 y 1) x) 0)
(*.f64 x (+.f64 y 1))
(+.f64 0 (*.f64 (+.f64 y 1) x))
(*.f64 x (+.f64 y 1))
(+.f64 (.f64 (+.f64 y 1) (.f64 x 1/2)) (.f64 (+.f64 y 1) (.f64 x 1/2)))
(*.f64 x (+.f64 y 1))
(-.f64 (*.f64 (+.f64 y 1) x) 0)
(*.f64 x (+.f64 y 1))
(/.f64 (*.f64 (+.f64 y 1) x) 1)
(*.f64 x (+.f64 y 1))
(/.f64 (*.f64 x (+.f64 y (+.f64 y 2))) 2)
(*.f64 x (+.f64 y 1))
(/.f64 (.f64 (+.f64 y 1) (.f64 x 4)) 4)
(*.f64 x (+.f64 y 1))
(/.f64 (.f64 (+.f64 y 1) (.f64 x 8)) 8)
(*.f64 x (+.f64 y 1))
(/.f64 (.f64 2 (.f64 (+.f64 y 1) (*.f64 x 8))) 16)
(*.f64 x (+.f64 y 1))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (.f64 x 8)))) 32)
(*.f64 x (+.f64 y 1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (*.f64 x 8))))) 64)
(*.f64 x (+.f64 y 1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (.f64 x 8)))))) 128)
(*.f64 x (+.f64 y 1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (*.f64 x 8))))))) 256)
(*.f64 x (+.f64 y 1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (.f64 x 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y 1) (.f64 x 8)))))))) 512)
(*.f64 x (+.f64 y 1))
(pow.f64 (*.f64 (+.f64 y 1) x) 1)
(*.f64 x (+.f64 y 1))
(-.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 0)
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 1 (+.f64 y (.f64 (+.f64 y 1) x)))
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 1)
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/2))
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 4 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/4))
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 2) 1/2)
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 4) 1/4)
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 1/2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 2))
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 1/2 (+.f64 (+.f64 y y) (.f64 x (+.f64 y (+.f64 y 2)))))
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8) 1/8)
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 1/4 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 4))
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/2) 2)
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 1/8 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8))
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1/4) 4)
(+.f64 y (*.f64 x (+.f64 y 1)))
(.f64 (+.f64 (+.f64 y y) (.f64 x (+.f64 y (+.f64 y 2)))) 1/2)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 2) 2)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 4) 4)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8) 8)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (.f64 2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)) 16)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8))) 32)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)))) 64)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8))))) 128)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 8)))))) 256)
(+.f64 y (*.f64 x (+.f64 y 1)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y (.f64 (+.f64 y 1) x)) 8))))))) 512)
(+.f64 y (*.f64 x (+.f64 y 1)))
(pow.f64 (+.f64 y (*.f64 (+.f64 y 1) x)) 1)
(+.f64 y (*.f64 x (+.f64 y 1)))

eval23.0ms (1%)

Compiler: Compiled 1122 to 794 computations (29.2% saved)

prune15.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	5	114

Error

0.0b

Counts

114 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 (+.f64 y 1) x) y)
✓	28.7b	(+.f64 (*.f64 y x) y)
✓	8.3b	(+.f64 x y)
▶	55.0b	(*.f64 y x)
	36.2b	y

Compiler

Compiled 29 to 18 computations (37.9% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Error

0.0b

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 (+.f64 y 1) x) y)
✓	28.7b	(+.f64 (*.f64 y x) y)
✓	8.3b	(+.f64 x y)
✓	55.0b	(*.f64 y x)
	36.2b	y

Compiler

Compiled 29 to 18 computations (37.9% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

0.0b

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 (+.f64 y 1) x) y)
✓	28.7b	(+.f64 (*.f64 y x) y)
✓	8.3b	(+.f64 x y)
✓	55.0b	(*.f64 y x)
	36.2b	y

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes16.0ms (0.7%)

Counts

6 → 1

Calls

Call 1

Inputs
y
(*.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 (+.f64 y 1) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)

Outputs
(+.f64 (*.f64 (+.f64 y 1) x) y)

Calls

3 calls:

5.0ms	y
5.0ms	x
5.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 43 to 21 computations (51.2% saved)

regimes19.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

Inputs
y
(*.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 y x) y)

Outputs
(*.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 y x) y)

Calls

2 calls:

11.0ms	y
7.0ms	x

Results

Error	Segments	Branch
6.4b	2	`x`
1.1b	3	`y`

Compiler

Compiled 20 to 9 computations (55% saved)

bsearch24.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	4.594902565320494e-17	0.001078223636970992
9.0ms	-1.4748061148098157	-0.2763119447057675

Results

21.0ms

256×

body

256

valid

Compiler

Compiled 226 to 147 computations (35% saved)

regimes14.0ms (0.6%)

Counts

3 → 2

Calls

Call 1

Inputs
y
(*.f64 y x)
(+.f64 x y)

Outputs
(+.f64 x y)
(*.f64 y x)

Calls

2 calls:

7.0ms	y
7.0ms	x

Results

Error	Segments	Branch
6.5b	2	`x`
6.7b	2	`y`

Compiler

Compiled 15 to 8 computations (46.7% saved)

bsearch17.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	5.319188293578304e-21	51405188.26971617

Results

15.0ms	176×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 146 to 97 computations (33.6% saved)

regimes16.0ms (0.6%)

Accuracy

Total -33.1b remaining (-113.3%)

Threshold costs -33.1b (-113.3%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 y x)

Outputs
(*.f64 y x)
y
(*.f64 y x)

Calls

2 calls:

9.0ms	x
6.0ms	y

Results

Error	Segments	Branch
29.2b	3	`x`
34.6b	2	`y`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch26.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	5.319188293578304e-21	51405188.26971617
10.0ms	-29342.981613124935	-1866.1526866353258

Results

23.0ms	272×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 184 to 128 computations (30.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	121

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (+.f64 y 1) x) y)
(if (<=.f64 y -6530219459687219/4503599627370496) (.f64 y x) (if (<=.f64 y 4842270319348757/4611686018427387904) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 x 50000000) (+.f64 x y) (*.f64 y x))
(if (<=.f64 x -1900) (.f64 y x) (if (<=.f64 x 1) y (.f64 y x)))
y

Outputs
(+.f64 (*.f64 (+.f64 y 1) x) y)
(if (<=.f64 y -6530219459687219/4503599627370496) (.f64 y x) (if (<=.f64 y 4842270319348757/4611686018427387904) (+.f64 x y) (+.f64 (.f64 y x) y)))
(if (<=.f64 x 50000000) (+.f64 x y) (*.f64 y x))
(if (<=.f64 x -1900) (.f64 y x) (if (<=.f64 x 1) y (.f64 y x)))
y

Compiler

Compiled 62 to 35 computations (43.5% saved)

soundness0.0ms (0%)

end44.0ms (1.8%)

Compiler: Compiled 72 to 36 computations (50% saved)

Details

analyze57.0ms (2.4%)

sample699.0ms (28.7%)

preprocess12.0ms (0.5%)

simplify9.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite115.0ms (4.7%)

simplify230.0ms (9.5%)

eval18.0ms (0.7%)

prune13.0ms (0.5%)

localize3.0ms (0.1%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite193.0ms (8%)

simplify141.0ms (5.8%)

localize9.0ms (0.4%)

series3.0ms (0.1%)

rewrite220.0ms (9%)

simplify469.0ms (19.3%)

eval23.0ms (1%)

prune15.0ms (0.6%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes16.0ms (0.7%)

regimes19.0ms (0.8%)

bsearch24.0ms (1%)

regimes14.0ms (0.6%)

bsearch17.0ms (0.7%)

regimes16.0ms (0.6%)

bsearch26.0ms (1.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end44.0ms (1.8%)

Profiling