Details

analyze48.0ms (0.4%)

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
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	7
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	8
71.2%	57.8%	23.4%	0.1%	18.7%	0%	0%	9
77%	60.1%	18%	0.1%	21.9%	0%	0%	10
84.5%	66%	12.1%	0.1%	21.9%	0%	0%	11
88%	67.3%	9.2%	0.1%	23.4%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample832.0ms (6.2%)

Results

804.0ms	8256×	body	256	valid
15.0ms	200×	body	256	infinite

Bogosity

preprocess11.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

6×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	15	38
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 x (-.f64 1 (.f64 x y)))
(.f64 y (-.f64 1 (.f64 y x)))

Outputs
(.f64 x (-.f64 1 (.f64 x y)))
(.f64 y (-.f64 1 (.f64 y x)))
(.f64 y (-.f64 1 (.f64 x y)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x y)))

Outputs
(.f64 x (-.f64 1 (.f64 x y)))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 x y))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite8.4s (62.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`rational.json-simplify-35`
1688×	`rational.json-simplify-1`
1380×	`exponential.json-3`
1380×	`rational.json-1`
1380×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	62	32
2	139	32
3	261	32
4	472	32
5	1027	32
6	2408	32
7	4204	32
8	5340	32
9	6533	32
10	7567	32
11	7676	32
12	7801	32
13	7920	32

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

Outputs

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

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

simplify246.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2734×	`rational.json-simplify-2`
2038×	`rational.json-simplify-35`
1190×	`rational.json-simplify-51`
1002×	`rational.json-simplify-1`
936×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	2178
1	350	1986
2	882	1706
3	1969	1706
4	5235	1706
5	6393	1706
6	7259	1706
7	7663	1706
8	7797	1706
9	7861	1706

Stop Event

1×	node limit

Counts

114 → 86

Calls

Call 1

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

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

eval17.0ms (0.1%)

Compiler: Compiled 942 to 610 computations (35.2% saved)

prune13.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	6	87

Error

0.1b

Counts

87 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.6b	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))
▶	46.2b	(*.f64 (pow.f64 x 2) (neg.f64 y))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
▶	0.1b	(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 x y) -2)) -1))
▶	41.1b	(.f64 x (.f64 y (neg.f64 x)))
	22.3b	x

Compiler

Compiled 50 to 35 computations (30% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 y (neg.f64 x)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`exponential.json-3`
1516×	`rational.json-1`
1516×	`rational.json-2`
1516×	`rational.json-4`
1516×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	58	17
2	146	17
3	324	17
4	638	17
5	1621	17
6	3627	17
7	6400	17

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(.f64 x (.f64 y (neg.f64 x)))

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

Outputs

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational.json-simplify-49`
1238×	`rational.json-simplify-43`
1040×	`rational.json-simplify-1`
708×	`rational.json-simplify-61`
708×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	745
1	147	697
2	339	697
3	1063	697
4	5352	697
5	7656	697

Stop Event

1×	node limit

Counts

41 → 25

Calls

Call 1

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

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

localize71.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (+.f64 (*.f64 x y) -2)) -1)
✓	0.1b	(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 x y) -2)) -1))

Compiler

Compiled 38 to 21 computations (44.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 x y) -2)) -1))
0.0ms	y	@	-inf	(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 x y) -2)) -1))
0.0ms	x	@	inf	(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 x y) -2)) -1))
0.0ms	x	@	-inf	(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 x y) -2)) -1))
0.0ms	y	@	inf	(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 x y) -2)) -1))

rewrite155.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`rational.json-simplify-35`
1380×	`exponential.json-3`
1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	85	44
2	173	44
3	340	40
4	706	40
5	1662	32
6	3236	32
7	4873	32
8	6541	32
9	7796	32

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 x y) -2)) -1))
(+.f64 (neg.f64 (+.f64 (*.f64 x y) -2)) -1)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (*.f64 x y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (*.f64 x y) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (+.f64 (*.f64 x y) -4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (*.f64 x y) -3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 (*.f64 x y) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (+.f64 (*.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (*.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (*.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 x y) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (*.f64 x y) -1))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (*.f64 x y) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 (*.f64 x y) -1)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (*.f64 x y) -1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (*.f64 x y) -1))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2))))))

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2564×	`rational.json-simplify-53`
1986×	`rational.json-simplify-2`
1538×	`rational.json-simplify-35`
1056×	`rational.json-simplify-51`
1018×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1988
1	304	1814
2	738	1814
3	1901	1570
4	4256	1570
5	5147	1570
6	5772	1570
7	6024	1570
8	6242	1570
9	6386	1570

Stop Event

1×	node limit

Counts

104 → 72

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 (.f64 x (-.f64 1 (.f64 x y))) 0)
(+.f64 0 (.f64 x (-.f64 1 (.f64 x y))))
(+.f64 (.f64 x (.f64 (-.f64 1 (.f64 x y)) 1/2)) (.f64 x (.f64 (-.f64 1 (.f64 x y)) 1/2)))
(-.f64 (.f64 x (-.f64 1 (.f64 x y))) 0)
(/.f64 (.f64 x (-.f64 1 (.f64 x y))) 1)
(/.f64 (.f64 x (.f64 (-.f64 1 (*.f64 x y)) 2)) 2)
(/.f64 (.f64 (-.f64 1 (.f64 x y)) (*.f64 x 4)) 4)
(/.f64 (.f64 (-.f64 1 (.f64 x y)) (*.f64 x 8)) 8)
(/.f64 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) (.f64 x 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) (*.f64 x 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) (.f64 x 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) (*.f64 x 8)))))) 128)
(pow.f64 (.f64 x (-.f64 1 (.f64 x y))) 1)
(-.f64 -2 (+.f64 (*.f64 x y) -3))
(-.f64 (neg.f64 (+.f64 (*.f64 x y) -2)) 1)
(-.f64 -1 (+.f64 (*.f64 x y) -2))
(-.f64 -1 (-.f64 (+.f64 (*.f64 x y) -4) -2))
(-.f64 -1 (+.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2) -1))
(-.f64 (-.f64 1 (*.f64 x y)) 0)
(-.f64 0 (+.f64 (*.f64 x y) -1))
(-.f64 0 (-.f64 (+.f64 (*.f64 x y) -3) -2))
(-.f64 1 (*.f64 x y))
(-.f64 1 (-.f64 (+.f64 (*.f64 x y) -2) -2))
(-.f64 1 (+.f64 1 (+.f64 (*.f64 x y) -1)))
(.f64 -1 (+.f64 (.f64 x y) -1))
(.f64 (-.f64 1 (.f64 x y)) 1)
(.f64 1 (-.f64 1 (.f64 x y)))
(.f64 2 (.f64 (-.f64 1 (*.f64 x y)) 1/2))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 2) 1/2)
(.f64 4 (/.f64 (-.f64 1 (.f64 x y)) 4))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 4) 1/4)
(.f64 (+.f64 (.f64 x y) -1) -1)
(.f64 1/2 (.f64 (-.f64 1 (*.f64 x y)) 2))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 1 (*.f64 x y)) 4))
(.f64 (/.f64 (-.f64 1 (.f64 x y)) 4) 4)
(.f64 (-.f64 (+.f64 (.f64 x y) -3) -2) -1)
(/.f64 (-.f64 1 (*.f64 x y)) 1)
(/.f64 (.f64 (-.f64 1 (.f64 x y)) 2) 2)
(/.f64 (.f64 (-.f64 1 (.f64 x y)) 4) 4)
(/.f64 (+.f64 (*.f64 x y) -1) -1)
(/.f64 (.f64 (-.f64 1 (.f64 x y)) 8) 8)
(/.f64 (.f64 2 (+.f64 (.f64 x y) -1)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (*.f64 x y)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (+.f64 (*.f64 x y) -1))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) 8))) 32)
(/.f64 (neg.f64 (.f64 2 (+.f64 (.f64 x y) -1))) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (+.f64 (.f64 x y) -1)))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (*.f64 x y)) 8)))) 64)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (*.f64 x y) -1)))) 4)
(/.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (+.f64 (.f64 x y) -1))))) 8)
(pow.f64 (-.f64 1 (*.f64 x y)) 1)
(neg.f64 (+.f64 (*.f64 x y) -1))
(neg.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2))

Outputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
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localize46.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.2b	(*.f64 (pow.f64 x 2) (neg.f64 y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (pow.f64 x 2) (neg.f64 y))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 2) (neg.f64 y))
0.0ms	y	@	inf	(*.f64 (pow.f64 x 2) (neg.f64 y))
0.0ms	y	@	-inf	(*.f64 (pow.f64 x 2) (neg.f64 y))
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 2) (neg.f64 y))

rewrite203.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`rational.json-1`
1450×	`rational.json-2`
1450×	`rational.json-4`
1450×	`rational.json-3`
1392×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	61	17
2	137	17
3	281	17
4	551	17
5	1311	17
6	2812	17
7	4883	17
8	6291	17
9	7387	17
10	7652	17
11	7909	17

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 2) (neg.f64 y))

Outputs

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

simplify225.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1700×	`rational.json-simplify-35`
1308×	`exponential.json-simplify-26`
1174×	`rational.json-simplify-52`
1054×	`rational.json-simplify-53`
976×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	884
1	188	884
2	347	884
3	896	884
4	2657	884
5	3733	884
6	4663	884
7	6077	884
8	7075	884
9	7768	884
10	7777	884

Stop Event

1×	node limit

Counts

52 → 30

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))
	12.2b	(*.f64 (pow.f64 x 2) (neg.f64 y))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))
0.0ms	y	@	-inf	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))
0.0ms	x	@	0	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))
0.0ms	x	@	-inf	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))
0.0ms	y	@	inf	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))

rewrite238.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`rational.json-1`
1420×	`rational.json-2`
1420×	`rational.json-3`
1358×	`exponential.json-3`
1358×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	68	23
2	148	23
3	306	23
4	616	23
5	1484	23
6	2958	23
7	4704	23
8	6224	23
9	7063	23
10	7339	23
11	7617	23
12	7910	23

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))

Outputs

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

simplify357.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3258×	`rational.json-simplify-51`
1760×	`rational.json-simplify-35`
1598×	`rational.json-simplify-48`
1438×	`rational.json-simplify-49`
1292×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	1078
1	132	990
2	330	990
3	980	990
4	1611	990
5	2540	990
6	3111	990
7	3261	990
8	3430	990
9	3804	990
10	4611	990
11	4876	990
12	5000	990
13	5071	990
14	5122	990
15	5173	990
16	5224	990
17	5275	990
18	5349	990
19	6303	990

Stop Event

1×	node limit

Counts

46 → 30

Calls

Call 1

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

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

eval39.0ms (0.3%)

Compiler: Compiled 1963 to 1278 computations (34.9% saved)

prune27.0ms (0.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	0	1	1
Picked	0	1	1
Done	2	2	4
Total	186	7	193

Error

0.1b

Counts

193 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.5b	(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))
✓	9.6b	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))
▶	46.2b	(.f64 y (.f64 x (neg.f64 x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
▶	0.1b	(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
✓	41.1b	(.f64 x (.f64 y (neg.f64 x)))
	22.3b	x

Compiler

Compiled 59 to 40 computations (32.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (+.f64 (*.f64 x y) -2))
✓	0.1b	(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 -1 (+.f64 (*.f64 x y) -2))
0.0ms	x	@	0	(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
0.0ms	x	@	inf	(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
0.0ms	x	@	-inf	(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
0.0ms	y	@	inf	(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))

rewrite154.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`exponential.json-3`
1300×	`rational.json-1`
1300×	`rational.json-2`
1300×	`rational.json-4`
1300×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	69	44
2	144	40
3	281	40
4	524	32
5	1163	32
6	2910	32
7	5167	32
8	6399	32
9	7437	32

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
(-.f64 -1 (+.f64 (*.f64 x y) -2))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (*.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (+.f64 (*.f64 x y) -3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (+.f64 (*.f64 x y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (*.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (*.f64 x y)) 1/2) (*.f64 (-.f64 1 (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (+.f64 -1 (*.f64 x y)) 1/2)) (-.f64 1 (*.f64 (+.f64 -1 (*.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (+.f64 -1 (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (+.f64 -1 (*.f64 x y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 1 (*.f64 x y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (*.f64 x (+.f64 y y))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -2 (+.f64 -1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x y)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (*.f64 x y)) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (*.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x y)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 1 (*.f64 x y)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 -2 (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (+.f64 -1 (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (*.f64 x (+.f64 y y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (*.f64 x y)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1 (*.f64 x y)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1 (*.f64 x y)) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 x y)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2))))))

simplify218.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1776×	`rational.json-simplify-53`
1770×	`rational.json-simplify-2`
1578×	`rational.json-simplify-35`
1198×	`exponential.json-simplify-26`
1072×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	2043
1	292	1869
2	791	1625
3	1730	1625
4	3640	1625
5	4380	1625
6	4637	1625
7	5074	1625
8	5600	1625
9	6181	1625
10	7698	1625

Stop Event

1×	node limit

Counts

105 → 77

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 (.f64 x (-.f64 1 (.f64 x y))) 0)
(+.f64 0 (.f64 x (-.f64 1 (.f64 x y))))
(+.f64 (.f64 (-.f64 1 (.f64 x y)) (.f64 x 1/2)) (.f64 (-.f64 1 (.f64 x y)) (.f64 x 1/2)))
(-.f64 (.f64 x (-.f64 1 (.f64 x y))) 0)
(/.f64 (.f64 x (-.f64 1 (.f64 x y))) 1)
(/.f64 (.f64 (-.f64 1 (.f64 x y)) (+.f64 x x)) 2)
(/.f64 (.f64 x (.f64 (-.f64 1 (*.f64 x y)) 4)) 4)
(/.f64 (.f64 (.f64 (-.f64 1 (*.f64 x y)) 8) x) 8)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 1 (.f64 x y)) 8) x)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (*.f64 x y)) 8) x))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (.f64 x y)) 8) x)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (*.f64 x y)) 8) x))))) 128)
(pow.f64 (.f64 x (-.f64 1 (.f64 x y))) 1)
(+.f64 -1 (neg.f64 (+.f64 (*.f64 x y) -2)))
(+.f64 -1 (-.f64 1 (-.f64 (+.f64 (*.f64 x y) -3) -2)))
(+.f64 -2 (neg.f64 (+.f64 (*.f64 x y) -3)))
(+.f64 (-.f64 1 (*.f64 x y)) 0)
(+.f64 0 (-.f64 1 (*.f64 x y)))
(+.f64 (neg.f64 (+.f64 (*.f64 x y) -2)) -1)
(+.f64 (.f64 (-.f64 1 (.f64 x y)) 1/2) (.f64 (-.f64 1 (.f64 x y)) 1/2))
(+.f64 (-.f64 -1 (.f64 (+.f64 -1 (.f64 x y)) 1/2)) (-.f64 1 (.f64 (+.f64 -1 (.f64 x y)) 1/2)))
(.f64 -1 (+.f64 -1 (.f64 x y)))
(.f64 -2 (.f64 (+.f64 -1 (*.f64 x y)) 1/2))
(.f64 (-.f64 1 (.f64 x y)) 1)
(.f64 1 (-.f64 1 (.f64 x y)))
(.f64 2 (.f64 (-.f64 1 (*.f64 x y)) 1/2))
(.f64 (.f64 -2 (+.f64 -1 (*.f64 x y))) 1/2)
(.f64 (+.f64 -1 (.f64 x y)) -1)
(.f64 4 (.f64 (-.f64 1 (*.f64 x y)) 1/4))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 4) 1/4)
(.f64 (+.f64 -2 (.f64 x (+.f64 y y))) -1/2)
(.f64 1/2 (.f64 -2 (+.f64 -1 (*.f64 x y))))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 8) 1/8)
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 1/2) 2)
(.f64 (.f64 (+.f64 -1 (*.f64 x y)) 1/2) -2)
(.f64 1/4 (.f64 (-.f64 1 (*.f64 x y)) 4))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 1/4) 4)
(.f64 1/8 (.f64 (-.f64 1 (*.f64 x y)) 8))
(.f64 -1/2 (+.f64 -2 (.f64 x (+.f64 y y))))
(.f64 (-.f64 (+.f64 (.f64 x y) -3) -2) -1)
(/.f64 (-.f64 1 (*.f64 x y)) 1)
(/.f64 (.f64 -2 (+.f64 -1 (.f64 x y))) 2)
(/.f64 (+.f64 -1 (*.f64 x y)) -1)
(/.f64 (.f64 (-.f64 1 (.f64 x y)) 4) 4)
(/.f64 (+.f64 -2 (*.f64 x (+.f64 y y))) -2)
(/.f64 (.f64 (-.f64 1 (.f64 x y)) 8) 8)
(/.f64 (.f64 (+.f64 -1 (.f64 x y)) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (*.f64 x y)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) 8))) 32)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (*.f64 x y)) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (*.f64 x y)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (.f64 x y)) 4))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) 8))))) 128)
(/.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2) -1)
(pow.f64 (-.f64 1 (*.f64 x y)) 1)
(neg.f64 (+.f64 -1 (*.f64 x y)))
(neg.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2))

Outputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(neg.f64 (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(neg.f64 (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(neg.f64 (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(neg.f64 (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 y (.f64 (pow.f64 x 2) -1)))
(+.f64 x (*.f64 y (neg.f64 (pow.f64 x 2))))
(+.f64 x (neg.f64 (*.f64 y (pow.f64 x 2))))
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 -1 (.f64 y x))
(.f64 y (.f64 x -1))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 (.f64 x (-.f64 1 (.f64 x y))) 0)
(.f64 x (-.f64 1 (.f64 x y)))
(+.f64 0 (.f64 x (-.f64 1 (.f64 x y))))
(.f64 x (-.f64 1 (.f64 x y)))
(+.f64 (.f64 (-.f64 1 (.f64 x y)) (.f64 x 1/2)) (.f64 (-.f64 1 (.f64 x y)) (.f64 x 1/2)))
(.f64 x (-.f64 1 (.f64 x y)))
(-.f64 (.f64 x (-.f64 1 (.f64 x y))) 0)
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 (.f64 x (-.f64 1 (.f64 x y))) 1)
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 (.f64 (-.f64 1 (.f64 x y)) (+.f64 x x)) 2)
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 (.f64 x (.f64 (-.f64 1 (*.f64 x y)) 4)) 4)
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 (.f64 (.f64 (-.f64 1 (*.f64 x y)) 8) x) 8)
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 1 (.f64 x y)) 8) x)) 16)
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (*.f64 x y)) 8) x))) 32)
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (.f64 x y)) 8) x)))) 64)
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (*.f64 x y)) 8) x))))) 128)
(.f64 x (-.f64 1 (.f64 x y)))
(pow.f64 (.f64 x (-.f64 1 (.f64 x y))) 1)
(.f64 x (-.f64 1 (.f64 x y)))
(+.f64 -1 (neg.f64 (+.f64 (*.f64 x y) -2)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 -1 (-.f64 1 (-.f64 (+.f64 (*.f64 x y) -3) -2)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 -2 (neg.f64 (+.f64 (*.f64 x y) -3)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 (-.f64 1 (*.f64 x y)) 0)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 0 (-.f64 1 (*.f64 x y)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 (neg.f64 (+.f64 (*.f64 x y) -2)) -1)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 (.f64 (-.f64 1 (.f64 x y)) 1/2) (.f64 (-.f64 1 (.f64 x y)) 1/2))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(+.f64 (-.f64 -1 (.f64 (+.f64 -1 (.f64 x y)) 1/2)) (-.f64 1 (.f64 (+.f64 -1 (.f64 x y)) 1/2)))
(+.f64 (-.f64 -1 (.f64 1/2 (+.f64 -1 (.f64 x y)))) (-.f64 1 (.f64 1/2 (+.f64 -1 (.f64 x y)))))
(.f64 -1 (+.f64 -1 (.f64 x y)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 -2 (.f64 (+.f64 -1 (*.f64 x y)) 1/2))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (-.f64 1 (.f64 x y)) 1)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 1 (-.f64 1 (.f64 x y)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 2 (.f64 (-.f64 1 (*.f64 x y)) 1/2))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (.f64 -2 (+.f64 -1 (*.f64 x y))) 1/2)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (+.f64 -1 (.f64 x y)) -1)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 4 (.f64 (-.f64 1 (*.f64 x y)) 1/4))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 4) 1/4)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (+.f64 -2 (.f64 x (+.f64 y y))) -1/2)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 1/2 (.f64 -2 (+.f64 -1 (*.f64 x y))))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 8) 1/8)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 1/2) 2)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (.f64 (+.f64 -1 (*.f64 x y)) 1/2) -2)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 1/4 (.f64 (-.f64 1 (*.f64 x y)) 4))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (.f64 (-.f64 1 (*.f64 x y)) 1/4) 4)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 1/8 (.f64 (-.f64 1 (*.f64 x y)) 8))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 -1/2 (+.f64 -2 (.f64 x (+.f64 y y))))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(.f64 (-.f64 (+.f64 (.f64 x y) -3) -2) -1)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (-.f64 1 (*.f64 x y)) 1)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 -2 (+.f64 -1 (.f64 x y))) 2)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (+.f64 -1 (*.f64 x y)) -1)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 (-.f64 1 (.f64 x y)) 4) 4)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (+.f64 -2 (*.f64 x (+.f64 y y))) -2)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 (-.f64 1 (.f64 x y)) 8) 8)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 (+.f64 -1 (.f64 x y)) 4) -4)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 2 (.f64 (-.f64 1 (*.f64 x y)) 8)) 16)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) 8))) 32)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 2 (.f64 (+.f64 -1 (*.f64 x y)) 4)) -8)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (*.f64 x y)) 8)))) 64)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (.f64 x y)) 4))) -16)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 x y)) 8))))) 128)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(/.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2) -1)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(pow.f64 (-.f64 1 (*.f64 x y)) 1)
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(neg.f64 (+.f64 -1 (*.f64 x y)))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))
(neg.f64 (-.f64 (+.f64 (*.f64 x y) -3) -2))
(+.f64 1 (.f64 y (.f64 x -1)))
(+.f64 1 (*.f64 y (neg.f64 x)))
(-.f64 1 (*.f64 x y))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.2b	(.f64 y (.f64 x (neg.f64 x)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`exponential.json-3`
1402×	`rational.json-1`
1402×	`rational.json-2`
1402×	`rational.json-4`
1402×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	58	17
2	147	17
3	321	17
4	632	17
5	1683	17
6	4730	17

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(.f64 y (.f64 x (neg.f64 x)))

Outputs

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

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational.json-simplify-49`
1270×	`rational.json-simplify-53`
958×	`exponential.json-simplify-26`
914×	`rational.json-simplify-44`
834×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	745
1	157	697
2	362	697
3	1080	697
4	4790	697
5	7956	697

Stop Event

1×	node limit

Counts

41 → 23

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 x) x)
✓	12.6b	(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (/.f64 1 x) x)
0.0ms	y	@	0	(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))
0.0ms	y	@	-inf	(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))
0.0ms	y	@	inf	(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))
0.0ms	x	@	inf	(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`rational.json-simplify-50`
1292×	`rational.json-simplify-2`
1236×	`exponential.json-3`
1236×	`rational.json-1`
1236×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	87	36
2	280	30
3	1057	30
4	3863	30

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

Inputs
(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))
(/.f64 (/.f64 1 x) x)

Outputs

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

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1332×	`rational.json-simplify-38`
1112×	`rational.json-simplify-2`
982×	`rational.json-simplify-59`
676×	`rational.json-simplify-55`
622×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	4505
1	911	4331
2	3229	4135

Stop Event

1×	node limit

Counts

219 → 234

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 (.f64 (neg.f64 y) (.f64 x x)) 0)
(+.f64 0 (.f64 (neg.f64 y) (.f64 x x)))
(+.f64 -1 (-.f64 1 (.f64 y (.f64 x x))))
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(-.f64 (.f64 (neg.f64 y) (.f64 x x)) 0)
(-.f64 0 (.f64 y (.f64 x x)))
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(.f64 y (.f64 x (/.f64 -1 (/.f64 1 x))))
(.f64 (neg.f64 y) (.f64 x x))
(.f64 1 (.f64 (neg.f64 y) (*.f64 x x)))
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(.f64 x (/.f64 (.f64 y -2) (/.f64 2 x)))
(.f64 (.f64 (neg.f64 y) (*.f64 x x)) 1)
(.f64 -1 (.f64 y (*.f64 x x)))
(.f64 (+.f64 x x) (/.f64 1 (/.f64 -2 (.f64 y x))))
(.f64 (+.f64 x x) (.f64 (*.f64 y (neg.f64 x)) 1/2))
(*.f64 (+.f64 x x) (/.f64 x (/.f64 -2 y)))
(.f64 (+.f64 x x) (/.f64 x (.f64 2 (/.f64 -1 y))))
(.f64 (+.f64 x x) (/.f64 2 (/.f64 (/.f64 -2 (.f64 y x)) 1/2)))
(*.f64 (+.f64 x x) (/.f64 y (neg.f64 (/.f64 2 x))))
(.f64 (.f64 y -2) (/.f64 (*.f64 x x) 2))
(.f64 (.f64 y -2) (.f64 (.f64 x x) 1/2))
(.f64 2 (/.f64 y (.f64 (/.f64 (/.f64 1 x) x) -2)))
(.f64 2 (/.f64 x (/.f64 -2 (.f64 y x))))
(.f64 2 (/.f64 (.f64 (neg.f64 y) (*.f64 x x)) 2))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 (.f64 x x) (/.f64 1 (/.f64 -1 y)))
(.f64 (.f64 x x) (/.f64 2 (/.f64 -2 y)))
(.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 x (/.f64 (neg.f64 x) y))))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (/.f64 -2 y)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (*.f64 2 (/.f64 -1 y))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 1 (*.f64 x (/.f64 (neg.f64 x) y))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 2 (/.f64 -2 (.f64 y x)))))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 (/.f64 -2 (*.f64 y x)) 1/2)))
(.f64 (+.f64 y y) (/.f64 1 (.f64 (/.f64 (/.f64 1 x) x) -2)))
(.f64 -2 (/.f64 y (.f64 (/.f64 1 x) (/.f64 2 x))))
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(.f64 (.f64 y -4) (/.f64 1 (*.f64 (/.f64 (/.f64 1 x) x) 4)))
(.f64 (.f64 y (*.f64 x x)) -1)
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(.f64 (.f64 y (neg.f64 x)) (/.f64 1 (/.f64 1 x)))
(.f64 (.f64 y (neg.f64 x)) (/.f64 2 (/.f64 2 x)))
(.f64 (.f64 y (*.f64 x -2)) (/.f64 1 (/.f64 2 x)))
(.f64 (neg.f64 x) (.f64 y x))
(*.f64 (neg.f64 x) (/.f64 (+.f64 y y) (/.f64 2 x)))
(.f64 (.f64 y x) (neg.f64 x))
(.f64 (.f64 y x) (/.f64 -1 (/.f64 1 x)))
(.f64 (.f64 y x) (/.f64 1 (/.f64 -1 x)))
(.f64 (.f64 y x) (/.f64 -2 (/.f64 2 x)))
(.f64 (fabs.f64 x) (.f64 (neg.f64 y) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (/.f64 -1 y)))
(.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 x (/.f64 (neg.f64 x) y))))
(.f64 (.f64 x -2) (/.f64 y (/.f64 2 x)))
(.f64 (.f64 x (+.f64 y y)) (/.f64 -1 (/.f64 2 x)))
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(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (/.f64 -1 x)))
(.f64 1/2 (.f64 y (.f64 (.f64 x x) -2)))
(.f64 (/.f64 -1 (/.f64 1 x)) (.f64 y x))
(.f64 (/.f64 1 (/.f64 -2 (.f64 y x))) (+.f64 x x))
(.f64 (/.f64 (.f64 x x) 2) (*.f64 y -2))
(.f64 (/.f64 1 (/.f64 -1 y)) (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) y)
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(.f64 (.f64 x (/.f64 -1 (/.f64 1 x))) y)
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(.f64 (/.f64 y (.f64 (/.f64 1 x) (/.f64 2 x))) -2)
(.f64 (/.f64 y (.f64 (/.f64 (/.f64 1 x) x) -2)) 2)
(.f64 (/.f64 1 (/.f64 -2 y)) (.f64 x (+.f64 x x)))
(*.f64 (/.f64 x (/.f64 -2 y)) (+.f64 x x))
(.f64 (/.f64 2 (/.f64 -2 y)) (.f64 x x))
(.f64 (/.f64 1 (/.f64 2 x)) (.f64 y (*.f64 x -2)))
(.f64 (/.f64 2 (/.f64 2 x)) (.f64 y (neg.f64 x)))
(.f64 (/.f64 1 (/.f64 -1 x)) (.f64 y x))
(.f64 (/.f64 x (/.f64 -2 (.f64 y x))) 2)
(*.f64 (/.f64 (fabs.f64 x) (/.f64 -1 y)) (fabs.f64 x))
(.f64 (/.f64 1 (.f64 2 (/.f64 -1 y))) (*.f64 x (+.f64 x x)))
(.f64 (/.f64 x (.f64 2 (/.f64 -1 y))) (+.f64 x x))
(.f64 (/.f64 1 (.f64 x (/.f64 (neg.f64 x) y))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 x (.f64 x (/.f64 (neg.f64 x) y))) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x x) (.f64 x (/.f64 (neg.f64 x) y))) (.f64 x x))
(.f64 (/.f64 1 (.f64 2 (/.f64 -2 (.f64 y x)))) (.f64 x 4))
(.f64 (/.f64 1 (/.f64 (/.f64 -2 (.f64 y x)) 1/2)) (*.f64 x 4))
(.f64 (/.f64 2 (/.f64 (/.f64 -2 (.f64 y x)) 1/2)) (+.f64 x x))
(.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 x) x) -2)) (+.f64 y y))
(.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 x x)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 x) x) 4)) (*.f64 y -4))
(.f64 (/.f64 y (/.f64 2 x)) (.f64 x -2))
(*.f64 (/.f64 y (neg.f64 (/.f64 2 x))) (+.f64 x x))
(.f64 (/.f64 -1 (/.f64 2 x)) (.f64 x (+.f64 y y)))
(.f64 (/.f64 (.f64 y -2) (/.f64 2 x)) x)
(*.f64 (/.f64 (+.f64 y y) (/.f64 2 x)) (neg.f64 x))
(.f64 (/.f64 -2 (/.f64 2 x)) (.f64 y x))
(*.f64 (/.f64 y (/.f64 -1 x)) (/.f64 1 (/.f64 1 x)))
(pow.f64 (.f64 (neg.f64 y) (.f64 x x)) 1)
(neg.f64 (.f64 y (.f64 x x)))
(+.f64 (/.f64 (/.f64 1 x) x) 0)
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(-.f64 (/.f64 (/.f64 1 x) x) 0)
(-.f64 0 (/.f64 (/.f64 1 x) (neg.f64 x)))
(*.f64 1 (/.f64 (/.f64 1 x) x))
(.f64 x (/.f64 2 (.f64 x (*.f64 x (+.f64 x x)))))
(.f64 x (/.f64 x (.f64 x (.f64 x (.f64 x x)))))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) 1)
(*.f64 (/.f64 (/.f64 1 x) x) (/.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) (fabs.f64 (/.f64 x x)))
(*.f64 -1 (/.f64 (/.f64 1 x) (neg.f64 x)))
(.f64 (.f64 (/.f64 1 x) 2) (/.f64 1/2 x))
(.f64 (.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1 x) 1/2))
(.f64 (+.f64 x x) (/.f64 1 (.f64 x (*.f64 x (+.f64 x x)))))
(.f64 (+.f64 x x) (/.f64 x (.f64 2 (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 (/.f64 1 x) (/.f64 2 x)) 1/2)
(*.f64 2 (/.f64 (/.f64 1 x) (+.f64 x x)))
(.f64 2 (/.f64 x (.f64 x (*.f64 x (+.f64 x x)))))
(*.f64 2 (/.f64 (/.f64 (/.f64 1 x) x) 2))
(*.f64 2 (fabs.f64 (/.f64 (/.f64 1 x) (+.f64 x x))))
(.f64 2 (fabs.f64 (/.f64 x (.f64 x (*.f64 x (+.f64 x x))))))
(*.f64 2 (fabs.f64 (/.f64 (/.f64 (/.f64 1 x) x) 2)))
(.f64 (.f64 x x) (/.f64 1 (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (/.f64 2 (.f64 2 (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 x x) (fabs.f64 (/.f64 1 (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 x x) (fabs.f64 (/.f64 2 (.f64 2 (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (.f64 2 (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 x (+.f64 x x)) (fabs.f64 (/.f64 1 (.f64 2 (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 x 4)))
(.f64 (.f64 (/.f64 (/.f64 1 x) x) 4) 1/4)
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1)
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 2 (.f64 x (*.f64 x (+.f64 x x))))))
(*.f64 (/.f64 -1 x) (neg.f64 (/.f64 1 x)))
(*.f64 (/.f64 x x) (/.f64 (/.f64 1 x) x))
(.f64 (/.f64 1 (/.f64 1 x)) (/.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 1/2 (.f64 (/.f64 1 x) (/.f64 2 x)))
(.f64 1/2 (fabs.f64 (.f64 (/.f64 (/.f64 1 x) x) -2)))
(*.f64 (/.f64 (/.f64 2 x) x) (/.f64 x (+.f64 x x)))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 1 x) 2))
(*.f64 (/.f64 1/2 x) (/.f64 2 x))
(*.f64 (fabs.f64 (/.f64 1 x)) (fabs.f64 (/.f64 1 x)))
(*.f64 (fabs.f64 (/.f64 1 x)) (fabs.f64 (/.f64 -1 x)))
(.f64 (fabs.f64 (.f64 (/.f64 1 x) -2)) (fabs.f64 (/.f64 1/2 x)))
(.f64 (fabs.f64 (.f64 (/.f64 1 x) -2)) (fabs.f64 (*.f64 (/.f64 1 x) 1/2)))
(.f64 (fabs.f64 (.f64 (/.f64 1 x) -2)) (fabs.f64 (neg.f64 (/.f64 1/2 x))))
(.f64 (fabs.f64 (/.f64 1/2 x)) (fabs.f64 (.f64 (/.f64 1 x) -2)))
(.f64 (fabs.f64 (/.f64 1 (/.f64 1 x))) (/.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 2 (fabs.f64 x)) (fabs.f64 (/.f64 1 (.f64 x (.f64 x (+.f64 x x))))))
(.f64 (.f64 2 (fabs.f64 x)) (fabs.f64 (/.f64 x (.f64 2 (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (/.f64 1 x) 2))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x x)) 2)
(*.f64 (/.f64 x (+.f64 x x)) (/.f64 (/.f64 2 x) x))
(.f64 1/4 (.f64 (/.f64 (/.f64 1 x) x) 4))
(.f64 (/.f64 1 (.f64 x (*.f64 x (+.f64 x x)))) (+.f64 x x))
(.f64 (/.f64 x (.f64 x (*.f64 x (+.f64 x x)))) 2)
(.f64 (/.f64 2 (.f64 x (*.f64 x (+.f64 x x)))) x)
(*.f64 (/.f64 (/.f64 (/.f64 1 x) x) 2) 2)
(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x)))) x)
(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (fabs.f64 x))
(.f64 (/.f64 1 (.f64 2 (.f64 x (.f64 x (.f64 x x))))) (.f64 x (+.f64 x x)))
(.f64 (/.f64 x (.f64 2 (.f64 x (.f64 x (*.f64 x x))))) (+.f64 x x))
(.f64 (/.f64 2 (.f64 2 (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (/.f64 1 x) 4))
(.f64 (.f64 (fabs.f64 (/.f64 1 x)) 4) (fabs.f64 (/.f64 1 (*.f64 x 4))))
(*.f64 (fabs.f64 (/.f64 2 x)) (fabs.f64 (/.f64 1/2 x)))
(*.f64 (fabs.f64 (/.f64 (/.f64 2 x) x)) (fabs.f64 (/.f64 x (+.f64 x x))))
(pow.f64 (/.f64 (/.f64 1 x) x) 1)
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))
(fabs.f64 (/.f64 (/.f64 1 x) x))
(fabs.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))
(fabs.f64 (/.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 x (.f64 x x)))))
(fabs.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (neg.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x))) (.f64 x (.f64 x (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x))) (.f64 (.f64 x x) (*.f64 x (neg.f64 x)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 x (+.f64 x x))) (.f64 2 (.f64 x (.f64 x (*.f64 x x))))))
(fabs.f64 (/.f64 (/.f64 1 x) (fabs.f64 x)))
(fabs.f64 (/.f64 (neg.f64 (/.f64 1 x)) (fabs.f64 x)))
(fabs.f64 (/.f64 (/.f64 -1 x) x))
(fabs.f64 (/.f64 (/.f64 -1 x) (fabs.f64 x)))
(fabs.f64 (/.f64 (/.f64 x x) (*.f64 x (neg.f64 x))))
(fabs.f64 (/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)))))

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

eval60.0ms (0.5%)

Compiler: Compiled 3783 to 1885 computations (50.2% saved)

prune48.0ms (0.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	331	3	334
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	331	10	341

Error

0.0b

Counts

341 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.5b	(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))
▶	53.2b	(/.f64 (neg.f64 y) (.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)))
✓	9.6b	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))
▶	41.1b	(*.f64 (neg.f64 x) (/.f64 x (/.f64 1 y)))
✓	46.2b	(.f64 y (.f64 x (neg.f64 x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
✓	0.1b	(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
✓	41.1b	(.f64 x (.f64 y (neg.f64 x)))
▶	41.1b	(*.f64 4 (/.f64 x (/.f64 (/.f64 -4 x) y)))
	22.3b	x

Compiler

Compiled 98 to 65 computations (33.7% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 x (/.f64 (/.f64 -4 x) y)))
✓	0.2b	(/.f64 x (/.f64 (/.f64 -4 x) y))
✓	0.2b	(/.f64 (/.f64 -4 x) y)

Compiler

Compiled 30 to 19 computations (36.7% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite134.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`exponential.json-3`
1478×	`rational.json-1`
1478×	`rational.json-2`
1478×	`rational.json-4`
1478×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	78	57
2	253	57
3	948	57
4	4194	57

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(/.f64 (/.f64 -4 x) y)
(/.f64 x (/.f64 (/.f64 -4 x) y))
(*.f64 4 (/.f64 x (/.f64 (/.f64 -4 x) y)))

Outputs

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

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

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

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational.json-simplify-51`
1114×	`rational.json-simplify-61`
1042×	`rational.json-simplify-35`
1028×	`rational.json-simplify-47`
980×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	3907
1	573	3769
2	1477	3749
3	5256	3737

Stop Event

1×	node limit

Counts

205 → 167

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (neg.f64 x) (/.f64 x (/.f64 1 y)))
✓	0.2b	(/.f64 x (/.f64 1 y))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational.json-1`
1606×	`rational.json-2`
1606×	`rational.json-4`
1606×	`rational.json-3`
1590×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	84	36
2	227	24
3	624	24
4	2278	24
5	6005	24

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

Inputs
(/.f64 x (/.f64 1 y))
(*.f64 (neg.f64 x) (/.f64 x (/.f64 1 y)))

Outputs

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

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

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1706×	`rational.json-simplify-35`
1686×	`rational.json-simplify-39`
982×	`rational.json-simplify-43`
792×	`rational.json-simplify-41`
688×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	2209
1	657	2121
2	1999	2117
3	4392	2117
4	6300	2117

Stop Event

1×	node limit

Counts

161 → 131

Calls

Call 1

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

Outputs
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (pow.f64 x 2) -1))
(*.f64 (pow.f64 x 2) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
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(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (.f64 2 (.f64 y (*.f64 x 4))) (+.f64 (/.f64 -4 x) (/.f64 -4 x)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (.f64 2 (.f64 (.f64 x y) (.f64 x -4))) 8)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 x) 2) (/.f64 (/.f64 1 (*.f64 x y)) 2))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1 (*.f64 x y))) -2)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (/.f64 (.f64 x 4) (/.f64 1 (.f64 x y))) -4)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (/.f64 (.f64 x -4) (/.f64 1 (.f64 x y))) 4)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (+.f64 (.f64 x (.f64 x y)) (.f64 x (.f64 x y))) -2)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x y) (.f64 x -4))) (.f64 2 (.f64 (.f64 x y) (.f64 x -4)))) 16)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (+.f64 (/.f64 (+.f64 x x) (/.f64 1 (.f64 x y))) (/.f64 (+.f64 x x) (/.f64 1 (.f64 x y)))) -4)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (+.f64 (/.f64 (.f64 x 4) (/.f64 1 (.f64 x y))) (/.f64 (.f64 x 4) (/.f64 1 (.f64 x y)))) -8)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(/.f64 (+.f64 (/.f64 (.f64 x -4) (/.f64 1 (.f64 x y))) (/.f64 (.f64 x -4) (/.f64 1 (.f64 x y)))) 8)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(pow.f64 (.f64 x (.f64 x (neg.f64 y))) 1)
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(neg.f64 (.f64 x (.f64 x y)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x (*.f64 x x)))
✓	0.5b	(/.f64 1 (.f64 x (.f64 x (*.f64 x x))))
✓	12.6b	(/.f64 (neg.f64 y) (.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)))
✓	36.2b	(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))

Compiler

Compiled 60 to 16 computations (73.3% saved)

series2.0ms (0%)

Counts

4 → 60

Calls

15 calls:

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

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`rational.json-1`
2006×	`rational.json-2`
2006×	`rational.json-4`
2006×	`rational.json-3`
1160×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	128
1	109	116
2	329	74
3	1479	74
4	5317	74

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (neg.f64 y) (.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)))
(/.f64 1 (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1366×	`rational.json-simplify-40`
994×	`rational.json-simplify-38`
990×	`rational.json-simplify-35`
698×	`rational.json-simplify-50`
648×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	4764
1	1169	4512
2	4782	4466

Stop Event

1×	node limit

Counts

234 → 218

Calls

Call 1

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

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

eval99.0ms (0.7%)

Compiler: Compiled 7297 to 3552 computations (51.3% saved)

prune88.0ms (0.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	513	3	516
Fresh	0	1	1
Picked	1	0	1
Done	3	5	8
Total	517	9	526

Error

0.0b

Counts

526 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	53.1b	(/.f64 (neg.f64 y) (/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
	46.5b	(/.f64 y (/.f64 (/.f64 -1 x) x))
	41.1b	(/.f64 x (/.f64 (/.f64 -1 y) x))
✓	9.6b	(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))
✓	46.2b	(.f64 y (.f64 x (neg.f64 x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
✓	0.1b	(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
✓	41.1b	(.f64 x (.f64 y (neg.f64 x)))
	22.3b	x

Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes102.0ms (0.8%)

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 x (/.f64 (/.f64 -1 y) x))
(/.f64 y (/.f64 (/.f64 -1 x) x))
(*.f64 (neg.f64 x) (/.f64 x (/.f64 1 y)))
(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))
(*.f64 4 (/.f64 x (/.f64 (/.f64 -4 x) y)))
(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 x y) -2)) -1))
(/.f64 (neg.f64 y) (/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 y) (.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)))
(*.f64 (pow.f64 x 2) (neg.f64 y))
(+.f64 x (*.f64 (pow.f64 x 2) (neg.f64 y)))

Outputs
(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))

Calls

3 calls:

81.0ms	y
9.0ms	x
9.0ms	(.f64 x (-.f64 1 (.f64 x y)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(.f64 x (-.f64 1 (.f64 x y)))`

Compiler

Compiled 139 to 71 computations (48.9% saved)

regimes21.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (-.f64 1 (.f64 x y)))
(/.f64 x (/.f64 (/.f64 -1 y) x))
(/.f64 y (/.f64 (/.f64 -1 x) x))
(*.f64 (neg.f64 x) (/.f64 x (/.f64 1 y)))
(/.f64 (neg.f64 y) (/.f64 (/.f64 1 x) x))
(*.f64 4 (/.f64 x (/.f64 (/.f64 -4 x) y)))

Outputs
(.f64 x (-.f64 1 (.f64 x y)))

Calls

3 calls:

7.0ms	y
6.0ms	(.f64 x (-.f64 1 (.f64 x y)))
6.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(.f64 x (-.f64 1 (.f64 x y)))`

Compiler

Compiled 76 to 44 computations (42.1% saved)

regimes62.0ms (0.5%)

Accuracy

Total -50.0b remaining (-455.4%)

Threshold costs -50.0b (-455.4%)

Counts

3 → 5

Calls

Call 1

Inputs
x
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 x)))

Outputs
(.f64 x (.f64 y (neg.f64 x)))
x
(.f64 x (.f64 y (neg.f64 x)))
x
(.f64 x (.f64 y (neg.f64 x)))

Calls

2 calls:

45.0ms	x
16.0ms	y

Results

Error	Segments	Branch
18.0b	5	`x`
11.0b	5	`y`

Compiler

Compiled 21 to 11 computations (47.6% saved)

bsearch68.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	8.706466173715912e+76	2.347793537830876e+80
16.0ms	-9.286621796512814e+90	-1.0203091321051904e+83
18.0ms	-3.245974615664833e+145	-1.9897978475060482e+131
20.0ms	-5.636421713444585e+249	-2.4316842738563225e+234

Results

50.0ms	592×	body	256	valid
11.0ms	133×	body	256	infinite

Compiler

Compiled 495 to 343 computations (30.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	134

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
(.f64 x (-.f64 1 (.f64 x y)))
(if (<=.f64 y -2500000000000000132915049156649122589008473643811275243339243246760972880573041398648751072837326227256430420453128023490737611284513413468292304077255100969174792599333555878362437670940708307808865945882287016802809232642589784539136) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y -125000000000000002968179044831388169676082240978585273434183123583779678692752571571022203527010411766168246141730014509474176646236260196679680) x (if (<=.f64 y -8500000000000000223966912737617837343503762001231599333642596377306287860240309433109839872) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y 220000000000000002691348994072337675830235974690402587988267735411405250973663232) x (.f64 x (.f64 y (neg.f64 x)))))))
x

Outputs
(.f64 x (-.f64 -1 (+.f64 (.f64 x y) -2)))
(.f64 x (-.f64 1 (.f64 x y)))
(if (<=.f64 y -2500000000000000132915049156649122589008473643811275243339243246760972880573041398648751072837326227256430420453128023490737611284513413468292304077255100969174792599333555878362437670940708307808865945882287016802809232642589784539136) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y -125000000000000002968179044831388169676082240978585273434183123583779678692752571571022203527010411766168246141730014509474176646236260196679680) x (if (<=.f64 y -8500000000000000223966912737617837343503762001231599333642596377306287860240309433109839872) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y 220000000000000002691348994072337675830235974690402587988267735411405250973663232) x (.f64 x (.f64 y (neg.f64 x)))))))
x

Compiler

Compiled 61 to 33 computations (45.9% saved)

soundness0.0ms (0%)

end29.0ms (0.2%)

Compiler: Compiled 55 to 26 computations (52.7% saved)

Details

analyze48.0ms (0.4%)

sample832.0ms (6.2%)

preprocess11.0ms (0.1%)

simplify8.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite8.4s (62.8%)

simplify246.0ms (1.8%)

eval17.0ms (0.1%)

prune13.0ms (0.1%)

localize5.0ms (0%)

series3.0ms (0%)

rewrite100.0ms (0.8%)

simplify101.0ms (0.8%)

localize71.0ms (0.5%)

series1.0ms (0%)

rewrite155.0ms (1.2%)

simplify192.0ms (1.4%)

localize46.0ms (0.3%)

series0.0ms (0%)

rewrite203.0ms (1.5%)

simplify225.0ms (1.7%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite238.0ms (1.8%)

simplify357.0ms (2.7%)

eval39.0ms (0.3%)

prune27.0ms (0.2%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite154.0ms (1.2%)

simplify218.0ms (1.6%)

localize6.0ms (0%)

series0.0ms (0%)

rewrite76.0ms (0.6%)

simplify107.0ms (0.8%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite77.0ms (0.6%)

simplify82.0ms (0.6%)

eval60.0ms (0.5%)

prune48.0ms (0.4%)

localize12.0ms (0.1%)

series5.0ms (0%)

rewrite134.0ms (1%)

simplify103.0ms (0.8%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite92.0ms (0.7%)

simplify114.0ms (0.9%)

localize20.0ms (0.2%)

series2.0ms (0%)

rewrite96.0ms (0.7%)

simplify101.0ms (0.8%)

eval99.0ms (0.7%)

prune88.0ms (0.7%)

regimes102.0ms (0.8%)

regimes21.0ms (0.2%)

regimes62.0ms (0.5%)

bsearch68.0ms (0.5%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end29.0ms (0.2%)

Profiling