Details

analyze431.0ms (10.3%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	8
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	9
60.9%	60.9%	39%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
79.3%	79.2%	20.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.4s (57.5%)

Results

2.4s	8256×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess17.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

12×	`rational.json-simplify-2`
6×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	17	50
2	22	50
3	23	50
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) (.f64 (.f64 x 2) y))
(/.f64 (-.f64 y x) (.f64 (.f64 y 2) x))

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify152.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-2`
4×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	11	25
2	15	25
3	19	25

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

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

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune2.0ms (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

16.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.7b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize21.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.2b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 25 to 13 computations (48% saved)

series9.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
2.0ms	y	@	inf	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	x	@	inf	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	y	@	-inf	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	x	@	0	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

rewrite122.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`rational.json-5`
1940×	`rational.json-1`
1940×	`rational.json-2`
1940×	`rational.json-4`
1940×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	75	25
2	248	25
3	938	25
4	3730	25

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

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

Outputs

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

simplify177.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational.json-simplify-50`
1162×	`rational.json-simplify-58`
1058×	`rational.json-simplify-54`
1018×	`rational.json-simplify-43`
580×	`rational.json-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	875
1	58	767
2	109	767
3	312	767
4	2204	767
5	5490	767

Stop Event

1×	node limit

Counts

35 → 16

Calls

Call 1

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

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

eval3.0ms (0.1%)

Compiler: Compiled 298 to 58 computations (80.5% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Error

0.0b

Counts

17 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.7b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
▶	32.3b	(/.f64 1/2 y)
▶	31.4b	(/.f64 -1/2 x)
▶	0.0b	(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x)))

Compiler

Compiled 32 to 24 computations (25% saved)

localize15.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite86.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`rational.json-5`
1530×	`exponential.json-3`
1530×	`rational.json-1`
1530×	`rational.json-2`
1530×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	66	19
2	213	19
3	775	19
4	2979	19

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify298.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-49`
1242×	`rational.json-simplify-2`
1096×	`rational.json-simplify-50`
884×	`rational.json-simplify-43`
878×	`rational.json-simplify-58`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	755
1	84	571
2	276	479
3	1531	479
4	5367	479
5	7740	479

Stop Event

1×	node limit

Counts

29 → 27

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

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

eval23.0ms (0.5%)

Compiler: Compiled 637 to 497 computations (22% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	27	4	31

Error

0.0b

Counts

31 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.7b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
✓	32.3b	(/.f64 1/2 y)
✓	31.4b	(/.f64 -1/2 x)
✓	0.0b	(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x)))

Compiler

Compiled 32 to 24 computations (25% saved)

regimes22.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x)))

Calls

3 calls:

12.0ms	x
5.0ms	y
4.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))`

Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes33.0ms (0.8%)

Accuracy

Total -47.5b remaining (-333%)

Threshold costs -47.5b (-333%)

Counts

2 → 3

Calls

Call 1

Inputs
(/.f64 -1/2 x)
(/.f64 1/2 y)

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

Calls

2 calls:

19.0ms	y
13.0ms	x

Results

Error	Segments	Branch
16.2b	3	`x`
14.3b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch35.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	2.3326805439318124e-42	3.04086714494487e-41
24.0ms	-5.580480741973373e-102	-1.1181073831845033e-110

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 196 to 161 computations (17.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	71

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x)))

(if (<=.f64 y -3873374817130363/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (/.f64 -1/2 x) (if (<=.f64 y 2746232009231673/392318858461667547739736838950479151006397215279002157056) (/.f64 1/2 y) (/.f64 -1/2 x)))

(/.f64 -1/2 x)

Outputs

(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x)))

(if (<=.f64 y -3873374817130363/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (/.f64 -1/2 x) (if (<=.f64 y 2746232009231673/392318858461667547739736838950479151006397215279002157056) (/.f64 1/2 y) (/.f64 -1/2 x)))

(/.f64 -1/2 x)

Compiler

Compiled 35 to 27 computations (22.9% saved)

soundness279.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational.json-simplify-50`
1162×	`rational.json-simplify-58`
1058×	`rational.json-simplify-54`
1018×	`rational.json-simplify-43`
580×	`rational.json-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	875
1	58	767
2	109	767
3	312	767
4	2204	767
5	5490	767

Stop Event

1×	node limit

Compiler

Compiled 33 to 27 computations (18.2% saved)

end28.0ms (0.7%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

Details

analyze431.0ms (10.3%)

sample2.4s (57.5%)

preprocess17.0ms (0.4%)

simplify152.0ms (3.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize21.0ms (0.5%)

series9.0ms (0.2%)

rewrite122.0ms (2.9%)

simplify177.0ms (4.2%)

eval3.0ms (0.1%)

prune5.0ms (0.1%)

localize15.0ms (0.4%)

series1.0ms (0%)

rewrite86.0ms (2.1%)

simplify298.0ms (7.1%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

eval23.0ms (0.5%)

prune5.0ms (0.1%)

regimes22.0ms (0.5%)

regimes33.0ms (0.8%)

bsearch35.0ms (0.8%)

simplify3.0ms (0.1%)

soundness279.0ms (6.7%)

end28.0ms (0.7%)

Profiling