Details

analyze57.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
62.3%	59.3%	35.9%	0.1%	4.7%	0%	0%	8
72.3%	67.1%	25.8%	0.1%	7%	0%	0%	9
79.1%	72.6%	19.1%	0.1%	8.2%	0%	0%	10
85.1%	76.9%	13.5%	0.1%	9.6%	0%	0%	11
89%	79.8%	9.9%	0.1%	10.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample860.0ms (26.3%)

Results

579.0ms	6778×	body	256	valid
139.0ms	697×	body	1024	valid
112.0ms	775×	body	512	valid
15.0ms	190×	body	256	infinite
1.0ms	6×	body	2048	valid

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	15	50
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	11	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% 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

15.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.6b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) (-.f64 1 y))
✓	2.7b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite118.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`exponential.json-3`
1544×	`rational.json-1`
1544×	`rational.json-2`
1544×	`rational.json-4`
1544×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	68	44
2	151	44
3	293	44
4	547	44
5	1226	44
6	2879	44
7	5049	44
8	6647	44

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

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

Outputs

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

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

simplify293.0ms (9%)

Algorithm

1×	egg-herbie

Rules

2418×	`rational.json-simplify-2`
1912×	`rational.json-simplify-35`
1674×	`rational.json-simplify-42`
962×	`rational.json-simplify-53`
932×	`rational.json-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	94	2205
1	224	2051
2	539	2051
3	1404	1677
4	2715	1611
5	3477	1425
6	4033	1425
7	5092	1425
8	5695	1425
9	6319	1425
10	6622	1425
11	7424	1425
12	7447	1425

Stop Event

1×	node limit

Counts

81 → 69

Calls

Call 1

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

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

eval16.0ms (0.5%)

Compiler: Compiled 792 to 588 computations (25.8% saved)

prune10.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Error

Counts

70 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (+.f64 1 (*.f64 y x)) y)
▶	22.2b	(-.f64 1 y)
▶	24.3b	(*.f64 y (+.f64 x -1))
▶	40.9b	(*.f64 y x)
	39.1b	1

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite225.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`rational.json-simplify-53`
1422×	`rational.json-simplify-35`
1338×	`exponential.json-3`
1338×	`rational.json-1`
1338×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	51	13
2	116	13
3	218	13
4	402	13
5	863	13
6	2170	13
7	3836	13
8	5001	13
9	6458	13
10	7245	13
11	7245	13
12	7722	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

Outputs

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

simplify326.0ms (10%)

Algorithm

1×	egg-herbie

Rules

2078×	`rational.json-simplify-2`
1916×	`rational.json-simplify-35`
1810×	`rational.json-simplify-1`
1400×	`rational.json-simplify-49`
1192×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	476
1	139	474
2	295	474
3	725	474
4	2751	474
5	4725	474
6	5312	474
7	5678	474
8	5914	474
9	6093	474
10	6842	474
11	7766	474
12	7848	474
13	7973	474

Stop Event

1×	node limit

Counts

38 → 21

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite91.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`rational.json-simplify-35`
1196×	`exponential.json-3`
1196×	`rational.json-1`
1196×	`rational.json-2`
1196×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	66	19
2	161	19
3	320	19
4	664	19
5	1650	19
6	3512	19
7	5507	19

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify440.0ms (13.4%)

Algorithm

1×	egg-herbie

Rules

2146×	`rational.json-simplify-35`
1714×	`rational.json-simplify-2`
1652×	`rational.json-simplify-1`
600×	`rational.json-simplify-26`
562×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1164
1	251	1164
2	511	1164
3	1829	1164
4	3245	1164
5	4042	1164
6	4648	1164
7	6101	1164
8	6684	1164
9	7081	1164
10	7302	1164
11	7541	1164
12	7555	1164
13	7901	1164
14	7954	1164
15	7959	1164

Stop Event

1×	node limit

Counts

60 → 63

Calls

Call 1

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

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

eval16.0ms (0.5%)

Compiler: Compiled 824 to 525 computations (36.3% saved)

prune12.0ms (0.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	82	7	89

Error

Counts

89 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 1 (*.f64 y x)) y)
▶	24.3b	(-.f64 (*.f64 y x) y)
✓	22.2b	(-.f64 1 y)
✓	24.3b	(*.f64 y (+.f64 x -1))
✓	40.9b	(*.f64 y x)
▶	45.7b	(neg.f64 y)
	39.1b	1

Compiler

Compiled 40 to 28 computations (30% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite114.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`rational.json-1`
1566×	`rational.json-2`
1566×	`rational.json-3`
1564×	`rational.json-4`
1322×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	95	13
3	219	13
4	415	13
5	942	13
6	2650	13
7	5238	13
8	7083	13

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

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

Outputs

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

simplify149.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1622×	`rational.json-simplify-35`
1246×	`exponential.json-simplify-26`
1174×	`rational.json-simplify-2`
1018×	`rational.json-simplify-53`
994×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	1614
1	424	1602
2	858	1590
3	1712	1590
4	3322	1590
5	4648	1590
6	5691	1590
7	6003	1590
8	6750	1590

Stop Event

1×	node limit

Counts

110 → 105

Calls

Call 1

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

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

eval19.0ms (0.6%)

Compiler: Compiled 960 to 634 computations (34% saved)

prune16.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	105	7	112

Error

Counts

112 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 1 (*.f64 y x)) y)
✓	24.3b	(-.f64 (*.f64 y x) y)
✓	22.2b	(-.f64 1 y)
✓	24.3b	(*.f64 y (+.f64 x -1))
✓	40.9b	(*.f64 y x)
✓	45.7b	(neg.f64 y)
	39.1b	1

Compiler

Compiled 40 to 28 computations (30% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 1 (*.f64 y x)) y)
✓	24.3b	(-.f64 (*.f64 y x) y)
✓	22.2b	(-.f64 1 y)
✓	24.3b	(*.f64 y (+.f64 x -1))
✓	40.9b	(*.f64 y x)
✓	45.7b	(neg.f64 y)
	39.1b	1

Compiler

Compiled 40 to 28 computations (30% saved)

regimes21.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
5.0ms	y
4.0ms	(-.f64 1 y)
4.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Results

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

Compiler

Compiled 59 to 36 computations (39% saved)

regimes45.0ms (1.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
13.0ms	x
9.0ms	(-.f64 1 y)

Results

Error	Segments	Branch
6.2b	3	`x`
8.2b	5	`y`
10.8b	3	`(-.f64 1 y)`

Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch29.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	3182763221279.8306	900878272849445800.0
14.0ms	-55360489525.25765	-868.8664824357297

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 250 to 192 computations (23.2% saved)

regimes47.0ms (1.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
12.0ms	(-.f64 1 y)
10.0ms	x

Results

Error	Segments	Branch
6.3b	3	`x`
17.9b	7	`y`
20.0b	5	`(-.f64 1 y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch31.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3182763221279.8306	900878272849445800.0
16.0ms	-55360489525.25765	-868.8664824357297

Results

27.0ms	288×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 232 to 174 computations (25% saved)

regimes52.0ms (1.6%)

Counts

3 → 9

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	x
24.0ms	y

Results

Error	Segments	Branch
17.0b	9	`x`
17.9b	7	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch106.0ms (3.2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
14.0ms	3182763221279.8306	900878272849445800.0
13.0ms	1.064031591043567e-25	3.637729280412233e-22
18.0ms	4.8214109218412855e-146	9.312638784662726e-113
15.0ms	1.8694199686984176e-218	3.183550825442786e-213
11.0ms	-7.575070293924495e-232	-1.7905883150067507e-233
8.0ms	-1.3637221269747e-122	-5.223234525560502e-123
12.0ms	-4.33118498403881e-74	-1.8437688681957853e-75
15.0ms	-55360489525.25765	-868.8664824357297

Results

94.0ms	1040×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 619 to 532 computations (14.1% saved)

regimes28.0ms (0.9%)

Accuracy

Total -39.4b remaining (-172.4%)

Threshold costs -39.4b (-172.4%)

Counts

2 → 3

Calls

Call 1

Inputs
1
(neg.f64 y)

Outputs
(neg.f64 y)
1
(neg.f64 y)

Calls

2 calls:

19.0ms	x
8.0ms	y

Results

Error	Segments	Branch
32.9b	7	`x`
22.8b	3	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch31.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	15.94224775082924	778601237.8769906
16.0ms	-3629.7583810947435	-0.0014842709281326415

Results

25.0ms	272×	body	256	valid
2.0ms	10×	body	1024	valid
1.0ms	6×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 178 to 156 computations (12.4% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	238

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -25000000) (.f64 y (+.f64 x -1)) (if (<=.f64 x 680000000000000) (-.f64 1 y) (.f64 y x)))
(if (<=.f64 x -6800000) (.f64 y x) (if (<=.f64 x 3700000000000000) (-.f64 1 y) (.f64 y x)))
(if (<=.f64 x -55000000000) (.f64 y x) (if (<=.f64 x -7537033112437599/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) 1 (if (<=.f64 x -5582121402590261/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (neg.f64 y) (if (<=.f64 x -6152889513734855/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) 1 (if (<=.f64 x 3974446316289815/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (neg.f64 y) (if (<=.f64 x 1776241522796147/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) 1 (if (<=.f64 x 3157820365026309/21778071482940061661655974875633165533184) (neg.f64 y) (if (<=.f64 x 5400000000000000) 1 (.f64 y x)))))))))
(if (<=.f64 y -1) (neg.f64 y) (if (<=.f64 y 16) 1 (neg.f64 y)))
1

Outputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -25000000) (.f64 y (+.f64 x -1)) (if (<=.f64 x 680000000000000) (-.f64 1 y) (.f64 y x)))
(if (<=.f64 x -6800000) (.f64 y x) (if (<=.f64 x 3700000000000000) (-.f64 1 y) (.f64 y x)))
(if (<=.f64 x -55000000000) (.f64 y x) (if (<=.f64 x -7537033112437599/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) 1 (if (<=.f64 x -5582121402590261/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (neg.f64 y) (if (<=.f64 x -6152889513734855/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) 1 (if (<=.f64 x 3974446316289815/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (neg.f64 y) (if (<=.f64 x 1776241522796147/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) 1 (if (<=.f64 x 3157820365026309/21778071482940061661655974875633165533184) (neg.f64 y) (if (<=.f64 x 5400000000000000) 1 (.f64 y x)))))))))
(if (<=.f64 y -1) (neg.f64 y) (if (<=.f64 y 16) 1 (neg.f64 y)))
1

Compiler

Compiled 117 to 76 computations (35% saved)

soundness0.0ms (0%)

end51.0ms (1.6%)

Compiler: Compiled 107 to 62 computations (42.1% saved)

Details

analyze57.0ms (1.8%)

sample860.0ms (26.3%)

preprocess5.0ms (0.1%)

simplify9.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite118.0ms (3.6%)

simplify293.0ms (9%)

eval16.0ms (0.5%)

prune10.0ms (0.3%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

series2.0ms (0%)

rewrite225.0ms (6.9%)

simplify326.0ms (10%)

localize3.0ms (0.1%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite91.0ms (2.8%)

simplify440.0ms (13.4%)

eval16.0ms (0.5%)

prune12.0ms (0.4%)

localize2.0ms (0.1%)

localize4.0ms (0.1%)

series2.0ms (0.1%)

rewrite114.0ms (3.5%)

simplify149.0ms (4.6%)

eval19.0ms (0.6%)

prune16.0ms (0.5%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes21.0ms (0.6%)

regimes45.0ms (1.4%)

bsearch29.0ms (0.9%)

regimes47.0ms (1.4%)

bsearch31.0ms (0.9%)

regimes52.0ms (1.6%)

bsearch106.0ms (3.2%)

regimes28.0ms (0.9%)

bsearch31.0ms (1%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end51.0ms (1.6%)

Profiling