Details

analyze124.0ms (3.3%)

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 (64.1%)

Results

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

Bogosity

preprocess32.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

12×	`rational.json-simplify-2`
6×	`rational.json-simplify-43`
2×	`swap-x-y`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	18	50
2	22	50
3	23	50
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify29.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-2`
4×	`rational.json-simplify-43`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	12	25
2	16	25
3	20	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)

localize22.0ms (0.6%)

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)

series7.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite129.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1960×	`rational.json-5`
1958×	`rational.json-1`
1958×	`rational.json-2`
1958×	`rational.json-4`
1958×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	76	25
2	246	25
3	935	25
4	3763	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 (+.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))) (/.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 (+.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))) (/.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)))))

simplify185.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational.json-simplify-2`
1116×	`rational.json-simplify-54`
938×	`rational.json-simplify-111`
780×	`rational.json-simplify-55`
608×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	875
1	63	767
2	122	767
3	462	767
4	2688	767
5	6096	767

Stop Event

1×	node limit

Counts

35 → 17

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

eval5.0ms (0.1%)

Compiler: Compiled 307 to 64 computations (79.2% saved)

prune7.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Error

0.0b

Counts

18 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.8b	(/.f64 1/2 y)
▶	32.9b	(/.f64 1/2 x)
▶	0.0b	(*.f64 1/2 (+.f64 (/.f64 1 y) (/.f64 1 x)))

Compiler

Compiled 21 to 17 computations (19% saved)

localize32.0ms (0.9%)

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)

series2.0ms (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))

rewrite97.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`rational.json-5`
1548×	`exponential.json-3`
1548×	`rational.json-1`
1548×	`rational.json-2`
1548×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	67	19
2	211	19
3	772	19
4	3013	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 (/.f64 1 y) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (neg.f64 (/.f64 1 y)))))) (#(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 (neg.f64 (/.f64 1 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 1 y))) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 1 x))) (-.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 (/.f64 1 y)) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 y) (-.f64 -1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 x) (-.f64 -1 (/.f64 1 y))) 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 (/.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 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 (/.f64 1 y) (/.f64 1 x)) (+.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 (/.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 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 (/.f64 1 y) (/.f64 1 x)) (+.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 (/.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 (/.f64 1 y) (/.f64 1 x)) (+.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 pow.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (/.f64 1 y)) (/.f64 1 x)))))))

Outputs

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

simplify218.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational.json-simplify-50`
1242×	`rational.json-simplify-54`
1180×	`rational.json-simplify-43`
1170×	`rational.json-simplify-58`
676×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	571
1	130	479
2	373	479
3	2259	479
4	6231	479

Stop Event

1×	node limit

Counts

29 → 26

Calls

Call 1

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

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

localize6.0ms (0.2%)

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

localize8.0ms (0.2%)

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

eval20.0ms (0.5%)

Compiler: Compiled 601 to 471 computations (21.6% saved)

prune11.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	26	3	29

Error

0.0b

Counts

29 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.8b	(/.f64 1/2 y)
✓	32.9b	(/.f64 1/2 x)
✓	0.0b	(*.f64 1/2 (+.f64 (/.f64 1 y) (/.f64 1 x)))

Compiler

Compiled 21 to 17 computations (19% saved)

regimes28.0ms (0.7%)

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:

10.0ms	y
8.0ms	x
8.0ms	(/.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)

regimes30.0ms (0.8%)

Accuracy

Total -51.1b remaining (-482.4%)

Threshold costs -51.1b (-482.4%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	y
12.0ms	x

Results

Error	Segments	Branch
10.6b	2	`x`
10.9b	2	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch34.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	-4.077708478403907e-184	-5.133341579578032e-196

Results

30.0ms

160×

body

256

valid

Compiler

Compiled 136 to 111 computations (18.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	55

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -3827252586451049/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (/.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 x -3827252586451049/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (/.f64 1/2 y) (/.f64 1/2 x))

(/.f64 1/2 x)

Compiler

Compiled 28 to 22 computations (21.4% saved)

soundness281.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational.json-simplify-2`
1116×	`rational.json-simplify-54`
938×	`rational.json-simplify-111`
780×	`rational.json-simplify-55`
608×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	875
1	63	767
2	122	767
3	462	767
4	2688	767
5	6096	767

Stop Event

1×	node limit

Compiler

Compiled 44 to 36 computations (18.2% saved)

end47.0ms (1.3%)

Remove: (sort x y)
Compiler: Compiled 46 to 36 computations (21.7% saved)

Details

analyze124.0ms (3.3%)

sample2.4s (64.1%)

preprocess32.0ms (0.9%)

simplify29.0ms (0.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize22.0ms (0.6%)

series7.0ms (0.2%)

rewrite129.0ms (3.4%)

simplify185.0ms (4.9%)

eval5.0ms (0.1%)

prune7.0ms (0.2%)

localize32.0ms (0.9%)

series2.0ms (0%)

rewrite97.0ms (2.6%)

simplify218.0ms (5.7%)

localize6.0ms (0.2%)

localize8.0ms (0.2%)

eval20.0ms (0.5%)

prune11.0ms (0.3%)

regimes28.0ms (0.7%)

regimes30.0ms (0.8%)

bsearch34.0ms (0.9%)

simplify5.0ms (0.1%)

soundness281.0ms (7.4%)

end47.0ms (1.3%)

Profiling