Details

analyze85.0ms (2.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
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 6 computations (25% saved)

sample2.1s (58.3%)

Results

2.1s

8256×

body

256

valid

Bogosity

preprocess8.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	11	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 x (/.f64 y 500))
(+.f64 y (/.f64 x 500))

Outputs
(+.f64 x (/.f64 y 500))
(+.f64 y (/.f64 x 500))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify28.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))

Outputs
(+.f64 x (/.f64 y 500))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (/.f64 y 500))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 x (/.f64 y 500))
0.0ms	y	@	inf	(+.f64 x (/.f64 y 500))
0.0ms	x	@	inf	(+.f64 x (/.f64 y 500))
0.0ms	y	@	0	(+.f64 x (/.f64 y 500))
0.0ms	x	@	-inf	(+.f64 x (/.f64 y 500))

rewrite124.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`rational_best.json-5`
1576×	`rational_best.json-2`
1576×	`rational_best.json-3`
1576×	`rational_best.json-1`
1576×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	188	13
3	758	13
4	3198	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 y 500)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (/.f64 y 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (/.f64 y 500)) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (/.f64 y 500)) (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (/.f64 y 500)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 1 (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (.f64 (+.f64 x (/.f64 y 500)) (.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (/.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (/.f64 y 500)) (.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))) (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (/.f64 y 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (/.f64 y 500)) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (/.f64 y 500)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 y 500)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 y 500)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 y 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 y 500)) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 y 500)) (*.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 y 500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 1 (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (*.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (*.f64 (+.f64 x (/.f64 y 500)) (*.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (/.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (/.f64 y 500)) (*.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))) (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (*.f64 (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (/.f64 y 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (/.f64 y 500)) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (/.f64 y 500)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 y 500)) 1)))))

simplify425.0ms (12%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best.json-simplify-80`
1220×	`rational_best.json-simplify-78`
1186×	`rational_best.json-simplify-94`
1156×	`rational_best.json-simplify-24`
1046×	`rational_best.json-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	569
1	81	569
2	483	569
3	3157	569
4	6626	569

Stop Event

1×	node limit

Counts

47 → 27

Calls

Call 1

Inputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(-.f64 (+.f64 x (/.f64 y 500)) 0)
(*.f64 (+.f64 x (/.f64 y 500)) 1)
(*.f64 (+.f64 x (/.f64 y 500)) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(.f64 (+.f64 x (/.f64 y 500)) (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))))
(*.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))
(*.f64 1 (+.f64 x (/.f64 y 500)))
(*.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500)))
(.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 1 (+.f64 x (/.f64 y 500))))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500))))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (*.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500))))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500)))
(*.f64 (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500)))
(.f64 (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (.f64 (+.f64 x (/.f64 y 500)) (*.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))
(.f64 (.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (/.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (*.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))) (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))
(.f64 (/.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))
(.f64 (/.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(.f64 (/.f64 (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(/.f64 (+.f64 x (/.f64 y 500)) 1)
(/.f64 (+.f64 x (/.f64 y 500)) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(/.f64 (*.f64 (+.f64 x (/.f64 y 500)) 2) 2)
(pow.f64 (+.f64 x (/.f64 y 500)) 1)

Outputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(-.f64 (+.f64 x (/.f64 y 500)) 0)
(+.f64 x (/.f64 y 500))
(*.f64 (+.f64 x (/.f64 y 500)) 1)
(+.f64 x (/.f64 y 500))
(*.f64 (+.f64 x (/.f64 y 500)) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(+.f64 x (/.f64 y 500))
(.f64 (+.f64 x (/.f64 y 500)) (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))))
(+.f64 x (/.f64 y 500))
(*.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))
(+.f64 x (/.f64 y 500))
(*.f64 1 (+.f64 x (/.f64 y 500)))
(+.f64 x (/.f64 y 500))
(*.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500)))
(+.f64 x (/.f64 y 500))
(.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(+.f64 x (/.f64 y 500))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 1 (+.f64 x (/.f64 y 500))))
(+.f64 x (/.f64 y 500))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500))))
(+.f64 x (/.f64 y 500))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (*.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500))))
(+.f64 x (/.f64 y 500))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500)))
(+.f64 x (/.f64 y 500))
(*.f64 (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500)))
(+.f64 x (/.f64 y 500))
(.f64 (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (.f64 (+.f64 x (/.f64 y 500)) (*.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))))
(+.f64 x (/.f64 y 500))
(.f64 (.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (/.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))
(+.f64 x (/.f64 y 500))
(.f64 (.f64 (+.f64 x (/.f64 y 500)) (*.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))) (/.f64 1 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))
(+.f64 x (/.f64 y 500))
(.f64 (/.f64 (/.f64 1 (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))) (.f64 (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500)))))
(+.f64 x (/.f64 y 500))
(.f64 (/.f64 (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))) (+.f64 x (/.f64 y 500))) (.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(+.f64 x (/.f64 y 500))
(.f64 (/.f64 (.f64 (+.f64 x (/.f64 y 500)) (/.f64 1 (+.f64 x (/.f64 y 500)))) (+.f64 x (/.f64 y 500))) (*.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(+.f64 x (/.f64 y 500))
(/.f64 (+.f64 x (/.f64 y 500)) 1)
(+.f64 x (/.f64 y 500))
(/.f64 (+.f64 x (/.f64 y 500)) (/.f64 (+.f64 x (/.f64 y 500)) (+.f64 x (/.f64 y 500))))
(+.f64 x (/.f64 y 500))
(/.f64 (*.f64 (+.f64 x (/.f64 y 500)) 2) 2)
(pow.f64 (+.f64 x (/.f64 y 500)) 1)
(+.f64 x (/.f64 y 500))

eval16.0ms (0.4%)

Compiler: Compiled 517 to 349 computations (32.5% saved)

prune8.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

0.0b

Counts

28 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
▶	29.8b	(*.f64 1/500 y)
	33.8b	x

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/500 y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(*.f64 1/500 y)
0.0ms	y	@	inf	(*.f64 1/500 y)
0.0ms	y	@	0	(*.f64 1/500 y)

rewrite370.0ms (10.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational_best.json-5`
1162×	`rational_best.json-2`
1162×	`rational_best.json-3`
1162×	`rational_best.json-1`
1162×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	42	7
2	138	7
3	557	7
4	2356	7

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(*.f64 1/500 y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/500 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/500 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/500 y) (/.f64 (.f64 1/500 y) (.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 1/250) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 y 1/250)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 1/500 y)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/500 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/500 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/500 y) (/.f64 (*.f64 1/500 y) (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/250) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y 1/250)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/500 y)))))))

simplify251.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational_best.json-simplify-132`
1302×	`rational_best.json-simplify-80`
1176×	`rational_best.json-simplify-78`
964×	`rational_best.json-simplify-43`
956×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	70
1	42	70
2	85	70
3	224	70
4	980	70
5	2622	70
6	5171	70

Stop Event

1×	node limit

Counts

10 → 11

Calls

Call 1

Inputs
(+.f64 (*.f64 1/500 y) 0)
(+.f64 0 (*.f64 1/500 y))
(-.f64 (*.f64 1/500 y) 0)
(-.f64 0 (neg.f64 (*.f64 1/500 y)))
(/.f64 (*.f64 1/500 y) 1)
(/.f64 (.f64 1/500 y) (/.f64 (.f64 1/500 y) (*.f64 1/500 y)))
(/.f64 (*.f64 y 1/250) 2)
(/.f64 (neg.f64 (*.f64 y 1/250)) -2)
(pow.f64 (*.f64 1/500 y) 1)
(neg.f64 (neg.f64 (*.f64 1/500 y)))

Outputs
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(+.f64 0 (*.f64 1/500 y))
(*.f64 1/500 y)
(-.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(-.f64 0 (neg.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)
(/.f64 (*.f64 1/500 y) 1)
(*.f64 1/500 y)
(/.f64 (.f64 1/500 y) (/.f64 (.f64 1/500 y) (*.f64 1/500 y)))
(*.f64 1/500 y)
(/.f64 (*.f64 y 1/250) 2)
(*.f64 1/500 y)
(/.f64 (neg.f64 (*.f64 y 1/250)) -2)
(*.f64 1/500 y)
(pow.f64 (*.f64 1/500 y) 1)
(*.f64 1/500 y)
(neg.f64 (neg.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)

eval3.0ms (0.1%)

Compiler: Compiled 63 to 50 computations (20.6% saved)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	11	3	14

Error

0.0b

Counts

14 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	29.8b	(*.f64 1/500 y)
	33.8b	x

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

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	29.8b	(*.f64 1/500 y)
	33.8b	x

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

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	29.8b	(*.f64 1/500 y)
	33.8b	x

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes31.0ms (0.9%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 1/500 y)
(+.f64 x (/.f64 y 500))

Outputs
(+.f64 x (/.f64 y 500))

Calls

4 calls:

10.0ms	(+.f64 x (/.f64 y 500))
7.0ms	y
7.0ms	(/.f64 y 500)
6.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 x (/.f64 y 500))`
0.0b	1	`(/.f64 y 500)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes33.0ms (0.9%)

Accuracy

Total -50.0b remaining (-418.9%)

Threshold costs -50.0b (-418.9%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 1/500 y)

Outputs
x
(*.f64 1/500 y)
x

Calls

2 calls:

17.0ms	y
14.0ms	x

Results

Error	Segments	Branch
11.9b	3	`x`
14.9b	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch29.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.6428227788505893e+22	3.407451547411289e+23
12.0ms	-2.2432092119279184e-50	-4.748086389517066e-51

Results

25.0ms

208×

body

256

valid

Compiler

Compiled 142 to 113 computations (20.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 x -7582485000136117/421249166674228746791672110734681729275580381602196445017243910144) x (if (<=.f64 x 17200000000000000000000) (*.f64 1/500 y) x))
x

Outputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 x -7582485000136117/421249166674228746791672110734681729275580381602196445017243910144) x (if (<=.f64 x 17200000000000000000000) (*.f64 1/500 y) x))
x

Compiler

Compiled 25 to 17 computations (32% saved)

soundness0.0ms (0%)

end32.0ms (0.9%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

Details

analyze85.0ms (2.4%)

sample2.1s (58.3%)

preprocess8.0ms (0.2%)

simplify28.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.3%)

series2.0ms (0.1%)

rewrite124.0ms (3.5%)

simplify425.0ms (12%)

eval16.0ms (0.4%)

prune8.0ms (0.2%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite370.0ms (10.4%)

simplify251.0ms (7.1%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes31.0ms (0.9%)

regimes33.0ms (0.9%)

bsearch29.0ms (0.8%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end32.0ms (0.9%)

Profiling