Details

analyze186.0ms (5.3%)

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
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample2.4s (68.4%)

Results

2.4s	8256×	body	256	valid
1.0ms	5×	body	256	infinite

Bogosity

preprocess6.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

10×	`rational.json-simplify-1`
4×	`rational.json-simplify-41`
2×	`trig.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	12	26
2	16	26
3	18	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`rational.json-simplify-1`
2×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
2	10	13
3	11	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite232.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`rational.json-5`
1308×	`exponential.json-3`
1308×	`rational.json-1`
1308×	`rational.json-2`
1308×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	52	13
2	181	13
3	669	13
4	2582	13

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

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

Outputs

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

simplify153.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational.json-simplify-2`
1108×	`rational.json-simplify-50`
874×	`rational.json-simplify-43`
870×	`rational.json-simplify-54`
868×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	739
1	178	635
2	468	635
3	2373	635
4	5986	635

Stop Event

1×	node limit

Counts

53 → 34

Calls

Call 1

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

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

eval5.0ms (0.1%)

Compiler: Compiled 476 to 125 computations (73.7% saved)

prune78.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Error

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(-.f64 y (*.f64 x -2))
▶	31.6b	(*.f64 2 x)
	31.8b	y

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize5.0ms (0.2%)

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

localize10.0ms (0.3%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(-.f64 y (*.f64 x -2))
✓	31.6b	(*.f64 2 x)
	31.8b	y

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(-.f64 y (*.f64 x -2))
✓	31.6b	(*.f64 2 x)
	31.8b	y

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(-.f64 y (*.f64 x -2))
✓	31.6b	(*.f64 2 x)
	31.8b	y

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes231.0ms (6.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(-.f64 y (*.f64 x -2))

Calls

3 calls:

10.0ms	x
8.0ms	(+.f64 (+.f64 x y) x)
8.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes26.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
7.0ms	(+.f64 (+.f64 x y) x)
7.0ms	x

Results

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

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes65.0ms (1.8%)

Accuracy

Total -49.2b remaining (-384.8%)

Threshold costs -49.2b (-384.8%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 2 x)

Outputs
y
(*.f64 2 x)
y

Calls

2 calls:

35.0ms	x
25.0ms	y

Results

Error	Segments	Branch
13.9b	5	`x`
12.8b	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch35.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.37349202288966e-89	5.889796171661682e-86
15.0ms	-5.790057229134993e+21	-4.858684313192458e+20

Results

30.0ms

224×

body

256

valid

Compiler

Compiled 152 to 120 computations (21.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	54

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 y (*.f64 x -2))
(+.f64 (+.f64 x y) x)
(if (<=.f64 y -500000000000000000000) y (if (<=.f64 y 2029768672598635/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (*.f64 2 x) y))
y

Outputs
(-.f64 y (*.f64 x -2))
(+.f64 (+.f64 x y) x)
(if (<=.f64 y -500000000000000000000) y (if (<=.f64 y 2029768672598635/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (*.f64 2 x) y))
y

Compiler

Compiled 32 to 21 computations (34.4% saved)

soundness0.0ms (0%)

end45.0ms (1.3%)

Compiler: Compiled 26 to 15 computations (42.3% saved)

Details

analyze186.0ms (5.3%)

sample2.4s (68.4%)

preprocess6.0ms (0.2%)

simplify15.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite232.0ms (6.6%)

simplify153.0ms (4.3%)

eval5.0ms (0.1%)

prune78.0ms (2.2%)

localize5.0ms (0.2%)

localize10.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes231.0ms (6.6%)

regimes26.0ms (0.7%)

regimes65.0ms (1.8%)

bsearch35.0ms (1%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end45.0ms (1.3%)

Profiling