Details

analyze194.0ms (1.3%)

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 6 computations (25% saved)

sample6.0s (39.7%)

Results

5.9s	8227×	body	256	valid
8.0ms	69×	body	256	infinite
3.0ms	10×	body	1024	valid
2.0ms	7×	body	2048	valid
2.0ms	12×	body	512	valid

Bogosity

preprocess88.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best-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 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))

Outputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-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 500 (-.f64 x y))

Outputs
(*.f64 500 (-.f64 x y))

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 500 (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize26.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite908.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`rational_best-simplify-62`
922×	`rational_best-simplify-55`
890×	`rational_best-simplify-108`
600×	`rational_best-simplify-83`
522×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	87	13
3	230	13
4	851	13
5	5672	13
6	7995	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 500 (-.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 500 (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 500 (-.f64 x y)) 1/2) (.f64 (.f64 500 (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (.f64 (.f64 500 (-.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (/.f64 (.f64 (-.f64 x y) 1500) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 500 (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 500 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 500 (-.f64 x y)) 1/2) (/.f64 (.f64 500 (-.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (.f64 (.f64 500 (-.f64 x y)) 1/2)) (neg.f64 (/.f64 (.f64 500 (-.f64 x y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (-.f64 x y) 1500) 4) (/.f64 (.f64 500 (-.f64 y x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x y) 1000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 500 (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x y) 2000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) (.f64 (.f64 (-.f64 x y) 2) 2000)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) (.f64 (.f64 (-.f64 x y) 2) 2000)) (+.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) (.f64 (.f64 (-.f64 x y) 2) 2000))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 500 (-.f64 y x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 500 (-.f64 x y)) 1/2) (*.f64 (*.f64 500 (-.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 500 (-.f64 x y)) 4) (+.f64 (/.f64 (*.f64 500 (-.f64 x y)) 4) (*.f64 (*.f64 500 (-.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 500 (-.f64 x y)) 4) (/.f64 (*.f64 (-.f64 x y) 1500) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 500 (-.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 500 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 500 (-.f64 x y)) 1/2) (/.f64 (*.f64 500 (-.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 500 (-.f64 x y)) 4) (*.f64 (*.f64 500 (-.f64 x y)) 1/2)) (neg.f64 (/.f64 (*.f64 500 (-.f64 x y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 x y) 1500) 4) (/.f64 (*.f64 500 (-.f64 y x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) 1000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) 2000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 x y) 2) 2000) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (-.f64 x y) 2) 2000) (*.f64 (*.f64 (-.f64 x y) 2) 2000)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (*.f64 (-.f64 x y) 2) 2000) (*.f64 (*.f64 (-.f64 x y) 2) 2000)) (+.f64 (*.f64 (*.f64 (-.f64 x y) 2) 2000) (*.f64 (*.f64 (-.f64 x y) 2) 2000))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 500 (-.f64 y x)))))))

simplify437.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1236×	`rational_best-simplify-3`
1050×	`rational_best-simplify-49`
912×	`rational_best-simplify-47`
800×	`rational_best-simplify-48`
600×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	667
1	129	667
2	299	655
3	1087	655
4	6657	655

Stop Event

1×	node limit

Counts

43 → 27

Calls

Call 1

Inputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (*.f64 500 (-.f64 x y)) 0)
(+.f64 0 (*.f64 500 (-.f64 x y)))
(+.f64 (.f64 (.f64 500 (-.f64 x y)) 1/2) (.f64 (.f64 500 (-.f64 x y)) 1/2))
(+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (.f64 (.f64 500 (-.f64 x y)) 1/2)))
(+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (/.f64 (.f64 (-.f64 x y) 1500) 4))
(-.f64 (*.f64 500 (-.f64 x y)) 0)
(-.f64 0 (*.f64 500 (-.f64 y x)))
(-.f64 (.f64 (.f64 500 (-.f64 x y)) 1/2) (/.f64 (*.f64 500 (-.f64 x y)) -2))
(-.f64 (+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (.f64 (.f64 500 (-.f64 x y)) 1/2)) (neg.f64 (/.f64 (.f64 500 (-.f64 x y)) 4)))
(-.f64 (/.f64 (.f64 (-.f64 x y) 1500) 4) (/.f64 (.f64 500 (-.f64 y x)) 4))
(/.f64 (*.f64 500 (-.f64 x y)) 1)
(/.f64 (*.f64 (-.f64 x y) 1000) 2)
(/.f64 (*.f64 500 (-.f64 y x)) -1)
(/.f64 (*.f64 (-.f64 x y) 2000) 4)
(/.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) 8)
(/.f64 (+.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) (.f64 (.f64 (-.f64 x y) 2) 2000)) 16)
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) (.f64 (.f64 (-.f64 x y) 2) 2000)) (+.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) (.f64 (.f64 (-.f64 x y) 2) 2000))) 32)
(pow.f64 (*.f64 500 (-.f64 x y)) 1)
(neg.f64 (*.f64 500 (-.f64 y x)))

Outputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (*.f64 500 (-.f64 x y)) 0)
(*.f64 500 (-.f64 x y))
(+.f64 0 (*.f64 500 (-.f64 x y)))
(*.f64 500 (-.f64 x y))
(+.f64 (.f64 (.f64 500 (-.f64 x y)) 1/2) (.f64 (.f64 500 (-.f64 x y)) 1/2))
(*.f64 500 (-.f64 x y))
(+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (.f64 (.f64 500 (-.f64 x y)) 1/2)))
(*.f64 500 (-.f64 x y))
(+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (/.f64 (.f64 (-.f64 x y) 1500) 4))
(*.f64 500 (-.f64 x y))
(-.f64 (*.f64 500 (-.f64 x y)) 0)
(*.f64 500 (-.f64 x y))
(-.f64 0 (*.f64 500 (-.f64 y x)))
(neg.f64 (*.f64 500 (-.f64 y x)))
(*.f64 (-.f64 y x) -500)
(*.f64 -500 (-.f64 y x))
(-.f64 (.f64 (.f64 500 (-.f64 x y)) 1/2) (/.f64 (*.f64 500 (-.f64 x y)) -2))
(*.f64 500 (-.f64 x y))
(-.f64 (+.f64 (/.f64 (.f64 500 (-.f64 x y)) 4) (.f64 (.f64 500 (-.f64 x y)) 1/2)) (neg.f64 (/.f64 (.f64 500 (-.f64 x y)) 4)))
(*.f64 500 (-.f64 x y))
(-.f64 (/.f64 (.f64 (-.f64 x y) 1500) 4) (/.f64 (.f64 500 (-.f64 y x)) 4))
(/.f64 (-.f64 (.f64 (-.f64 x y) 1500) (.f64 500 (-.f64 y x))) 4)
(/.f64 (*.f64 500 (-.f64 x y)) 1)
(*.f64 500 (-.f64 x y))
(/.f64 (*.f64 (-.f64 x y) 1000) 2)
(*.f64 500 (-.f64 x y))
(/.f64 (*.f64 500 (-.f64 y x)) -1)
(neg.f64 (*.f64 500 (-.f64 y x)))
(*.f64 (-.f64 y x) -500)
(*.f64 -500 (-.f64 y x))
(/.f64 (*.f64 (-.f64 x y) 2000) 4)
(*.f64 500 (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) 8)
(*.f64 500 (-.f64 x y))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) (.f64 (.f64 (-.f64 x y) 2) 2000)) 16)
(*.f64 500 (-.f64 x y))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) (.f64 (.f64 (-.f64 x y) 2) 2000)) (+.f64 (.f64 (.f64 (-.f64 x y) 2) 2000) (.f64 (.f64 (-.f64 x y) 2) 2000))) 32)
(*.f64 500 (-.f64 x y))
(pow.f64 (*.f64 500 (-.f64 x y)) 1)
(*.f64 500 (-.f64 x y))
(neg.f64 (*.f64 500 (-.f64 y x)))
(*.f64 (-.f64 y x) -500)
(*.f64 -500 (-.f64 y x))

eval37.0ms (0.2%)

Compiler: Compiled 285 to 173 computations (39.3% saved)

prune38.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Error

0.0b

Counts

28 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	32.8b	(*.f64 500 x)
▶	29.7b	(*.f64 -500 y)

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize5.0ms (0%)

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

localize28.0ms (0.2%)

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite371.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`rational_best-simplify-86`
1074×	`rational_best-simplify-108`
694×	`rational_best-simplify-83`
610×	`rational_best-simplify-47`
524×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	62	19
2	121	19
3	299	19
4	1017	17
5	6388	17

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 500 x) (.f64 500 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 500 x) (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (.f64 x -500)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 500 x) (+.f64 (+.f64 (.f64 500 y) (/.f64 (.f64 x 1000) -4)) (/.f64 (.f64 500 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -500 y) (.f64 x -500))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -500 y) (+.f64 (/.f64 (.f64 -500 (-.f64 x y)) 2) (/.f64 (.f64 -500 (+.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -500 y) (+.f64 (+.f64 (.f64 x -500) (/.f64 (.f64 -500 y) -2)) (/.f64 (.f64 y -1000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (.f64 -500 (-.f64 x y))) (+.f64 (/.f64 (.f64 -500 (-.f64 x y)) 2) (/.f64 (.f64 -500 (-.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 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Outputs

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(*.f64 x 1000) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 500 x) 2) (+.f64 (*.f64 500 x) (*.f64 500 y))) (/.f64 (*.f64 x 1500) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 y -1000) 4) (/.f64 (*.f64 -500 (-.f64 x y)) 2)) (/.f64 (*.f64 x 1000) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 -500 (+.f64 y x))) (neg.f64 (*.f64 y -1000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -3 (*.f64 -500 (-.f64 x y))) 4) (/.f64 (*.f64 -500 (-.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 -500 y) (/.f64 (*.f64 -500 (-.f64 x y)) -2)) 2) (/.f64 (-.f64 (*.f64 x -500) (/.f64 (*.f64 -500 (-.f64 x y)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 500 x) (/.f64 (*.f64 -500 (-.f64 x y)) -2)) 2) (/.f64 (+.f64 (/.f64 (*.f64 y -1500) -2) (/.f64 (*.f64 x 1000) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 y 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(/.f64 (+.f64 (*.f64 x 1000) (*.f64 y -1500)) 2)) (+.f64 (*.f64 500 x) (*.f64 y -1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (*.f64 -500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 -500 (-.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y -1000) (*.f64 x 1000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (*.f64 -500 (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 y -1000) (*.f64 x 1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -500 (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 2000) (*.f64 y -2000)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 x 2000) (*.f64 y -2000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 x 2000) (*.f64 y -2000))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (+.f64 (*.f64 x 2000) (*.f64 y -2000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y -1000) (*.f64 x 1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -500 (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 2000) (*.f64 y -2000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x -1000) (*.f64 y -1000)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 x 2000) (*.f64 y -2000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 x 2000) (*.f64 y -2000))) (*.f64 2 (+.f64 (*.f64 x 2000) (*.f64 y -2000)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1000 (*.f64 x 4)) (*.f64 2 (*.f64 y -2000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 y -2000)) (*.f64 1000 (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 x 2000) (*.f64 y -2000))) (*.f64 2 (+.f64 (*.f64 x 2000) (*.f64 y -2000)))) (+.f64 (*.f64 2 (+.f64 (*.f64 x 2000) (*.f64 y -2000))) (*.f64 2 (+.f64 (*.f64 x 2000) (*.f64 y -2000))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 1000 (*.f64 x 4)) (*.f64 2 (*.f64 y -2000))) (+.f64 (*.f64 1000 (*.f64 x 4)) (*.f64 2 (*.f64 y -2000)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 y -2000)) (*.f64 1000 (*.f64 x 4))) (+.f64 (*.f64 2 (*.f64 y -2000)) (*.f64 1000 (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 -500 (+.f64 y x)) (neg.f64 (*.f64 y -1000))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 (*.f64 500 x) (*.f64 500 y)) (*.f64 x -1000)))))))

simplify367.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

954×	`rational_best-simplify-62`
788×	`rational_best-simplify-55`
568×	`rational_best-simplify-1`
550×	`rational_best-simplify-57`
538×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	2134
1	544	1702
2	1462	1614
3	6173	1534

Stop Event

1×	node limit

Counts

88 → 122

Calls

Call 1

Inputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 -500 y)
(-.f64 (.f64 500 x) (.f64 500 y))
(-.f64 (.f64 500 x) (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (.f64 x -500)))
(-.f64 (.f64 500 x) (+.f64 (+.f64 (.f64 500 y) (/.f64 (.f64 x 1000) -4)) (/.f64 (.f64 500 x) 2)))
(-.f64 (.f64 -500 y) (.f64 x -500))
(-.f64 (.f64 -500 y) (+.f64 (/.f64 (.f64 -500 (-.f64 x y)) 2) (/.f64 (*.f64 -500 (+.f64 y x)) 2)))
(-.f64 (.f64 -500 y) (+.f64 (+.f64 (.f64 x -500) (/.f64 (.f64 -500 y) -2)) (/.f64 (.f64 y -1000) 4)))
(-.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 0)
(-.f64 (neg.f64 (.f64 -500 (-.f64 x y))) (+.f64 (/.f64 (.f64 -500 (-.f64 x y)) 2) (/.f64 (*.f64 -500 (-.f64 x y)) -2)))
(-.f64 0 (*.f64 -500 (-.f64 x y)))
(-.f64 0 (+.f64 (.f64 -500 (+.f64 y x)) (neg.f64 (.f64 y -1000))))
(-.f64 0 (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (*.f64 x -1000)))
(-.f64 (.f64 500 y) (-.f64 (.f64 x -500) (*.f64 y -1000)))
(-.f64 (+.f64 (.f64 y -1000) (.f64 x 1000)) (neg.f64 (*.f64 -500 (-.f64 x y))))
(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
(-.f64 (.f64 x 1000) (+.f64 (.f64 500 x) (*.f64 500 y)))
(-.f64 (.f64 x 1000) (+.f64 (+.f64 (.f64 500 x) (*.f64 500 y)) 0))
(-.f64 (+.f64 (.f64 -500 y) (.f64 x 1000)) (*.f64 500 x))
(-.f64 (+.f64 (.f64 500 x) (.f64 y -1000)) (*.f64 -500 y))
(-.f64 (+.f64 (.f64 500 x) (.f64 y -1000)) (+.f64 (/.f64 (.f64 x 1000) -4) (-.f64 (.f64 -500 y) (/.f64 (*.f64 x 1000) -4))))
(-.f64 (.f64 x 2000) (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (.f64 x 1000)))
(-.f64 (.f64 y -2000) (+.f64 (.f64 -500 (+.f64 y x)) (*.f64 y -1000)))
(-.f64 (/.f64 (.f64 y -1000) 4) (+.f64 (.f64 x -500) (/.f64 (*.f64 -500 y) -2)))
(-.f64 (/.f64 (.f64 y -1000) 4) (+.f64 (/.f64 (.f64 -500 y) -2) (*.f64 x -500)))
(-.f64 (/.f64 (.f64 500 x) 2) (+.f64 (.f64 500 y) (/.f64 (*.f64 x 1000) -4)))
(-.f64 (/.f64 (.f64 500 x) 2) (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (/.f64 (.f64 x 1500) -2)))
(-.f64 (/.f64 (.f64 500 x) 2) (+.f64 (/.f64 (.f64 x 1000) -4) (*.f64 500 y)))
(-.f64 (/.f64 (.f64 -500 (-.f64 x y)) -2) (/.f64 (.f64 -500 (-.f64 x y)) 2))
(-.f64 (.f64 -500 (+.f64 y x)) (.f64 x -1000))
(-.f64 (.f64 y -1500) (+.f64 (+.f64 (.f64 x -500) (/.f64 (.f64 y -1000) 4)) (/.f64 (.f64 y -1500) 2)))
(-.f64 (/.f64 (.f64 x 1500) 2) (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (/.f64 (.f64 x 1000) -4)))
(-.f64 (+.f64 (.f64 -500 y) (/.f64 (.f64 -500 (-.f64 x y)) -2)) (/.f64 (*.f64 -500 (+.f64 y x)) 2))
(-.f64 (/.f64 (.f64 y -1500) 2) (+.f64 (.f64 x -500) (/.f64 (*.f64 y -1000) 4)))
(-.f64 (+.f64 (.f64 500 x) (/.f64 (.f64 y -1000) 4)) (/.f64 (*.f64 -500 y) -2))
(-.f64 (-.f64 (.f64 -500 y) (/.f64 (.f64 x 1000) -4)) (/.f64 (*.f64 x 1000) -4))
(-.f64 (+.f64 (.f64 x 1000) (.f64 y -2000)) (-.f64 (.f64 500 x) (.f64 3 (*.f64 500 y))))
(-.f64 (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4) (/.f64 (.f64 (/.f64 (*.f64 -500 (-.f64 x y)) -2) -3) 2))
(-.f64 (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4) (.f64 -3 (/.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 4)))
(-.f64 (+.f64 (/.f64 (.f64 y -1000) 8) (/.f64 (.f64 y -1000) 4)) (-.f64 (.f64 x -500) (/.f64 (.f64 y -1000) 8)))
(-.f64 (+.f64 (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4) (/.f64 (.f64 -500 (-.f64 x y)) -2)) (neg.f64 (/.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 4)))
(-.f64 (+.f64 (/.f64 (.f64 x 1000) 8) (/.f64 (.f64 500 x) 2)) (-.f64 (.f64 500 y) (/.f64 (.f64 x 1000) 8)))
(-.f64 (-.f64 (/.f64 (.f64 500 x) 2) (+.f64 (.f64 500 x) (.f64 500 y))) (/.f64 (.f64 x 1500) -2))
(-.f64 (-.f64 (/.f64 (.f64 y -1000) 4) (/.f64 (.f64 -500 (-.f64 x y)) 2)) (/.f64 (*.f64 x 1000) -4))
(-.f64 (neg.f64 (.f64 -500 (+.f64 y x))) (neg.f64 (.f64 y -1000)))
(-.f64 (/.f64 (.f64 -3 (.f64 -500 (-.f64 x y))) 4) (/.f64 (*.f64 -500 (-.f64 x y)) 4))
(-.f64 (/.f64 (+.f64 (.f64 -500 y) (/.f64 (.f64 -500 (-.f64 x y)) -2)) 2) (/.f64 (-.f64 (.f64 x -500) (/.f64 (.f64 -500 (-.f64 x y)) -2)) 2))
(-.f64 (/.f64 (+.f64 (.f64 500 x) (/.f64 (.f64 -500 (-.f64 x y)) -2)) 2) (/.f64 (+.f64 (/.f64 (.f64 y -1500) -2) (/.f64 (.f64 x 1000) -4)) 2))
(-.f64 (/.f64 (+.f64 (.f64 y -1000) (/.f64 (.f64 -500 (-.f64 x y)) -2)) 2) (/.f64 (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (.f64 500 x)) 2))
(-.f64 (+.f64 (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4) (.f64 -500 y)) (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4)))
(-.f64 (+.f64 (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4) (/.f64 (.f64 y -1000) 4)) (-.f64 (/.f64 (.f64 x 1000) -4) (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4)))
(-.f64 (+.f64 (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4) (/.f64 (.f64 500 x) 2)) (-.f64 (/.f64 (.f64 -500 y) -2) (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4)))
(-.f64 (+.f64 (.f64 -500 (+.f64 y x)) (.f64 -500 (+.f64 y x))) (+.f64 (.f64 x -1000) (.f64 -500 (+.f64 y x))))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 x 1000) (.f64 y -1500)) 2) (/.f64 (+.f64 (.f64 x 1000) (.f64 y -1500)) 2)) (+.f64 (.f64 500 x) (.f64 y -1000)))
(.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 1)
(.f64 1 (neg.f64 (.f64 -500 (-.f64 x y))))
(.f64 -1 (.f64 -500 (-.f64 x y)))
(.f64 2 (/.f64 (.f64 -500 (-.f64 x y)) -2))
(.f64 2 (.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1/2))
(.f64 (+.f64 (.f64 y -1000) (*.f64 x 1000)) 1/2)
(.f64 -2 (/.f64 (.f64 -500 (-.f64 x y)) 2))
(.f64 1/2 (+.f64 (.f64 y -1000) (*.f64 x 1000)))
(.f64 (.f64 -500 (-.f64 x y)) -1)
(.f64 (+.f64 (.f64 x 2000) (*.f64 y -2000)) 1/4)
(.f64 1/4 (+.f64 (.f64 x 2000) (*.f64 y -2000)))
(.f64 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))) 1/8)
(.f64 (.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1/2) 2)
(.f64 1/8 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))))
(/.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1)
(/.f64 (+.f64 (.f64 y -1000) (.f64 x 1000)) 2)
(/.f64 (*.f64 -500 (-.f64 x y)) -1)
(/.f64 (+.f64 (.f64 x 2000) (.f64 y -2000)) 4)
(/.f64 (-.f64 (.f64 x -1000) (.f64 y -1000)) -2)
(/.f64 (.f64 2 (+.f64 (.f64 x 2000) (*.f64 y -2000))) 8)
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))) (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000)))) 16)
(/.f64 (+.f64 (.f64 1000 (.f64 x 4)) (.f64 2 (.f64 y -2000))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 y -2000)) (.f64 1000 (.f64 x 4))) 8)
(/.f64 (+.f64 (+.f64 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))) (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000)))) (+.f64 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))) (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))))) 32)
(/.f64 (+.f64 (+.f64 (.f64 1000 (.f64 x 4)) (.f64 2 (.f64 y -2000))) (+.f64 (.f64 1000 (.f64 x 4)) (.f64 2 (.f64 y -2000)))) 16)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 y -2000)) (.f64 1000 (.f64 x 4))) (+.f64 (.f64 2 (.f64 y -2000)) (.f64 1000 (.f64 x 4)))) 16)
(pow.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1)
(neg.f64 (*.f64 -500 (-.f64 x y)))
(neg.f64 (+.f64 (.f64 -500 (+.f64 y x)) (neg.f64 (.f64 y -1000))))
(neg.f64 (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (*.f64 x -1000)))

Outputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 -500 y)
(-.f64 (.f64 500 x) (.f64 500 y))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (.f64 500 x) (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (.f64 x -500)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (.f64 500 x) (+.f64 (+.f64 (.f64 500 y) (/.f64 (.f64 x 1000) -4)) (/.f64 (.f64 500 x) 2)))
(-.f64 (.f64 500 x) (+.f64 (+.f64 (.f64 y 500) (/.f64 (.f64 x 1000) -4)) (/.f64 (.f64 500 x) 2)))
(-.f64 (.f64 500 x) (+.f64 (.f64 y 500) (+.f64 (/.f64 (.f64 x 1000) -4) (/.f64 (.f64 500 x) 2))))
(+.f64 (/.f64 (.f64 500 x) 2) (neg.f64 (+.f64 (.f64 y 500) (.f64 (.f64 500 x) -1/2))))
(+.f64 (.f64 (.f64 500 x) 1/2) (neg.f64 (+.f64 (.f64 y 500) (.f64 (*.f64 500 x) -1/2))))
(-.f64 (.f64 -500 y) (.f64 x -500))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (.f64 -500 y) (+.f64 (/.f64 (.f64 -500 (-.f64 x y)) 2) (/.f64 (*.f64 -500 (+.f64 y x)) 2)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (.f64 -500 y) (+.f64 (+.f64 (.f64 x -500) (/.f64 (.f64 -500 y) -2)) (/.f64 (.f64 y -1000) 4)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 0)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (neg.f64 (.f64 -500 (-.f64 x y))) (+.f64 (/.f64 (.f64 -500 (-.f64 x y)) 2) (/.f64 (*.f64 -500 (-.f64 x y)) -2)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 0 (*.f64 -500 (-.f64 x y)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 0 (+.f64 (.f64 -500 (+.f64 y x)) (neg.f64 (.f64 y -1000))))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 0 (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (*.f64 x -1000)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (.f64 500 y) (-.f64 (.f64 x -500) (*.f64 y -1000)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (+.f64 (.f64 y -1000) (.f64 x 1000)) (neg.f64 (*.f64 -500 (-.f64 x y))))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (.f64 x 1000) (+.f64 (.f64 500 x) (*.f64 500 y)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (.f64 x 1000) (+.f64 (+.f64 (.f64 500 x) (*.f64 500 y)) 0))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (+.f64 (.f64 -500 y) (.f64 x 1000)) (*.f64 500 x))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (+.f64 (.f64 500 x) (.f64 y -1000)) (*.f64 -500 y))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (+.f64 (.f64 500 x) (.f64 y -1000)) (+.f64 (/.f64 (.f64 x 1000) -4) (-.f64 (.f64 -500 y) (/.f64 (*.f64 x 1000) -4))))
(+.f64 (/.f64 (.f64 500 x) 2) (-.f64 (.f64 500 x) (+.f64 (-.f64 (.f64 -500 y) (.f64 (.f64 500 x) -1/2)) (.f64 y 1000))))
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(-.f64 (/.f64 (.f64 x 1000) 8) (-.f64 (.f64 y 500) (+.f64 (/.f64 (.f64 500 x) 2) (/.f64 (.f64 x 1000) 8))))
(-.f64 (+.f64 (/.f64 (.f64 500 x) 2) (/.f64 (.f64 x 1000) 8)) (-.f64 (.f64 y 500) (/.f64 (.f64 x 1000) 8)))
(-.f64 (/.f64 (+.f64 (.f64 x 1000) (.f64 x 2000)) 8) (-.f64 (.f64 y 500) (/.f64 (.f64 500 x) 4)))
(-.f64 (-.f64 (/.f64 (.f64 500 x) 2) (+.f64 (.f64 500 x) (.f64 500 y))) (/.f64 (.f64 x 1500) -2))
(-.f64 (-.f64 (/.f64 (.f64 500 x) 2) (/.f64 (.f64 x 1500) -2)) (+.f64 (.f64 500 x) (.f64 y 500)))
(-.f64 (/.f64 (.f64 500 x) 2) (+.f64 (.f64 500 (+.f64 y x)) (/.f64 (*.f64 x 3000) -4)))
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(-.f64 (-.f64 (/.f64 (.f64 y -1000) 4) (/.f64 (.f64 -500 (-.f64 x y)) 2)) (/.f64 (*.f64 x 1000) -4))
(-.f64 (.f64 500 x) (.f64 y 500))
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(-.f64 (neg.f64 (.f64 -500 (+.f64 y x))) (neg.f64 (.f64 y -1000)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
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(-.f64 (/.f64 (.f64 -3 (.f64 -500 (-.f64 x y))) 4) (/.f64 (*.f64 -500 (-.f64 x y)) 4))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
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(-.f64 (/.f64 (+.f64 (.f64 -500 y) (/.f64 (.f64 -500 (-.f64 x y)) -2)) 2) (/.f64 (-.f64 (.f64 x -500) (/.f64 (.f64 -500 (-.f64 x y)) -2)) 2))
(-.f64 (.f64 500 x) (.f64 y 500))
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(-.f64 (/.f64 (+.f64 (.f64 500 x) (/.f64 (.f64 -500 (-.f64 x y)) -2)) 2) (/.f64 (+.f64 (/.f64 (.f64 y -1500) -2) (/.f64 (.f64 x 1000) -4)) 2))
(/.f64 (-.f64 (+.f64 (.f64 500 x) (/.f64 (.f64 -500 (-.f64 x y)) -2)) (+.f64 (/.f64 (.f64 x 1000) -4) (/.f64 (.f64 y -1500) -2))) 2)
(-.f64 (/.f64 (+.f64 (.f64 x 1000) (.f64 500 (-.f64 x y))) 4) (+.f64 (/.f64 (.f64 y -1500) -4) (/.f64 (.f64 x 1000) -8)))
(-.f64 (/.f64 (+.f64 (.f64 x 1500) (neg.f64 (.f64 y 500))) 4) (/.f64 (+.f64 (.f64 x 1000) (.f64 y -3000)) -8))
(-.f64 (/.f64 (+.f64 (.f64 y -1000) (/.f64 (.f64 -500 (-.f64 x y)) -2)) 2) (/.f64 (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (.f64 500 x)) 2))
(/.f64 (-.f64 (+.f64 (.f64 y -1000) (/.f64 (.f64 -500 (-.f64 x y)) -2)) (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (.f64 500 x))) 2)
(/.f64 (-.f64 (.f64 500 x) (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (+.f64 (.f64 y -1000) (/.f64 (.f64 (-.f64 x y) -1000) -4)))) 2)
(/.f64 (-.f64 (.f64 500 x) (+.f64 (/.f64 (.f64 -500 (+.f64 y (+.f64 x (-.f64 x y)))) 2) (*.f64 y 1000))) 2)
(/.f64 (-.f64 (.f64 500 x) (+.f64 (.f64 -500 x) (*.f64 y 1000))) 2)
(-.f64 (+.f64 (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4) (.f64 -500 y)) (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (+.f64 (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4) (/.f64 (.f64 y -1000) 4)) (-.f64 (/.f64 (.f64 x 1000) -4) (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (+.f64 (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4) (/.f64 (.f64 500 x) 2)) (-.f64 (/.f64 (.f64 -500 y) -2) (/.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 4)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (+.f64 (.f64 -500 (+.f64 y x)) (.f64 -500 (+.f64 y x))) (+.f64 (.f64 x -1000) (.f64 -500 (+.f64 y x))))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 x 1000) (.f64 y -1500)) 2) (/.f64 (+.f64 (.f64 x 1000) (.f64 y -1500)) 2)) (+.f64 (.f64 500 x) (.f64 y -1000)))
(-.f64 (/.f64 (+.f64 (+.f64 (.f64 x 1000) (.f64 y -1500)) (+.f64 (.f64 x 1000) (.f64 y -1500))) 2) (+.f64 (.f64 500 x) (.f64 y -1000)))
(+.f64 (.f64 y 1000) (-.f64 (+.f64 (.f64 500 x) (/.f64 (+.f64 (.f64 x 1000) (.f64 y -3000)) 2)) (*.f64 500 x)))
(+.f64 (-.f64 (/.f64 (.f64 y -3000) 2) (.f64 -500 x)) (*.f64 y 1000))
(.f64 (neg.f64 (.f64 -500 (-.f64 x y))) 1)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 1 (neg.f64 (.f64 -500 (-.f64 x y))))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 -1 (.f64 -500 (-.f64 x y)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 2 (/.f64 (.f64 -500 (-.f64 x y)) -2))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 2 (.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1/2))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 (+.f64 (.f64 y -1000) (*.f64 x 1000)) 1/2)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 -2 (/.f64 (.f64 -500 (-.f64 x y)) 2))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 1/2 (+.f64 (.f64 y -1000) (*.f64 x 1000)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 (.f64 -500 (-.f64 x y)) -1)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 (+.f64 (.f64 x 2000) (*.f64 y -2000)) 1/4)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 1/4 (+.f64 (.f64 x 2000) (*.f64 y -2000)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))) 1/8)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 (.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1/2) 2)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(.f64 1/8 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(/.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(/.f64 (+.f64 (.f64 y -1000) (.f64 x 1000)) 2)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(/.f64 (*.f64 -500 (-.f64 x y)) -1)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(/.f64 (+.f64 (.f64 x 2000) (.f64 y -2000)) 4)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(/.f64 (-.f64 (.f64 x -1000) (.f64 y -1000)) -2)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(/.f64 (.f64 2 (+.f64 (.f64 x 2000) (*.f64 y -2000))) 8)
(/.f64 (.f64 2 (.f64 (-.f64 x y) 2000)) 8)
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))) (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000)))) 16)
(/.f64 (.f64 2 (+.f64 (.f64 x 2000) (*.f64 y -2000))) 8)
(/.f64 (.f64 2 (.f64 (-.f64 x y) 2000)) 8)
(/.f64 (+.f64 (.f64 1000 (.f64 x 4)) (.f64 2 (.f64 y -2000))) 8)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(/.f64 (+.f64 (.f64 2 (.f64 y -2000)) (.f64 1000 (.f64 x 4))) 8)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(/.f64 (+.f64 (+.f64 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))) (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000)))) (+.f64 (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))) (.f64 2 (+.f64 (.f64 x 2000) (.f64 y -2000))))) 32)
(/.f64 (.f64 2 (+.f64 (.f64 x 2000) (*.f64 y -2000))) 8)
(/.f64 (.f64 2 (.f64 (-.f64 x y) 2000)) 8)
(/.f64 (+.f64 (+.f64 (.f64 1000 (.f64 x 4)) (.f64 2 (.f64 y -2000))) (+.f64 (.f64 1000 (.f64 x 4)) (.f64 2 (.f64 y -2000)))) 16)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 y -2000)) (.f64 1000 (.f64 x 4))) (+.f64 (.f64 2 (.f64 y -2000)) (.f64 1000 (.f64 x 4)))) 16)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(pow.f64 (neg.f64 (*.f64 -500 (-.f64 x y))) 1)
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(neg.f64 (*.f64 -500 (-.f64 x y)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(neg.f64 (+.f64 (.f64 -500 (+.f64 y x)) (neg.f64 (.f64 y -1000))))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))
(neg.f64 (+.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (*.f64 x -1000)))
(-.f64 (.f64 500 x) (.f64 y 500))
(*.f64 500 (-.f64 x y))
(*.f64 -500 (-.f64 y x))

eval189.0ms (1.3%)

Compiler: Compiled 1915 to 1419 computations (25.9% saved)

prune107.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	120	6	126

Error

0.0b

Counts

126 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
▶	0.6b	(+.f64 (/.f64 (.f64 x -1500) -2) (-.f64 (.f64 (.f64 500 x) -1/2) (.f64 y 500)))
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	32.8b	(*.f64 500 x)
✓	29.7b	(*.f64 -500 y)

Compiler

Compiled 54 to 42 computations (22.2% saved)

localize92.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 500 x) -1/2) (*.f64 y 500))
✓	0.2b	(/.f64 (*.f64 x -1500) -2)
✓	0.3b	(+.f64 (/.f64 (.f64 x -1500) -2) (-.f64 (.f64 (.f64 500 x) -1/2) (.f64 y 500)))

Compiler

Compiled 51 to 39 computations (23.5% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(+.f64 (/.f64 (.f64 x -1500) -2) (-.f64 (.f64 (.f64 500 x) -1/2) (.f64 y 500)))
1.0ms	x	@	0	(+.f64 (/.f64 (.f64 x -1500) -2) (-.f64 (.f64 (.f64 500 x) -1/2) (.f64 y 500)))
0.0ms	y	@	0	(+.f64 (/.f64 (.f64 x -1500) -2) (-.f64 (.f64 (.f64 500 x) -1/2) (.f64 y 500)))
0.0ms	x	@	inf	(+.f64 (/.f64 (.f64 x -1500) -2) (-.f64 (.f64 (.f64 500 x) -1/2) (.f64 y 500)))
0.0ms	x	@	inf	(/.f64 (*.f64 x -1500) -2)

rewrite308.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`rational_best-simplify-63`
934×	`rational_best-simplify-56`
924×	`rational_best-simplify-75`
918×	`rational_best-simplify-76`
854×	`rational_best-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	101	69
2	196	69
3	558	69
4	2296	57

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 x -1500) -2) (-.f64 (.f64 (.f64 500 x) -1/2) (.f64 y 500)))
(/.f64 (*.f64 x -1500) -2)
(-.f64 (.f64 (.f64 500 x) -1/2) (*.f64 y 500))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -250) (neg.f64 (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -250) (-.f64 (*.f64 x -250) (+.f64 (*.f64 x -250) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x -250) (*.f64 500 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x -250) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 500 y)) (*.f64 x -250))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x -500) (*.f64 500 y)) (neg.f64 (*.f64 x -250)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x -250)) (-.f64 (*.f64 x -500) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 500 y) (*.f64 x -250)) -2) (/.f64 (-.f64 (*.f64 500 y) (*.f64 x -250)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x -250) 2) (-.f64 (/.f64 (*.f64 x -250) 2) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x -250) (+.f64 (*.f64 x -250) (*.f64 500 y))) (*.f64 x -250))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 500 y) -2) (-.f64 (*.f64 x -250) (/.f64 (*.f64 500 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 500 y) -2) (-.f64 (/.f64 (*.f64 500 y) -2) (neg.f64 (*.f64 x -250))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x -250) (/.f64 (*.f64 500 y) 2)) (/.f64 (*.f64 500 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x -250) (/.f64 (*.f64 500 y) 2)) (-.f64 (*.f64 x -250) (+.f64 (*.f64 x -250) (/.f64 (*.f64 500 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 x -250) 2) (*.f64 500 y)) (/.f64 (*.f64 x -250) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x -250) (/.f64 (*.f64 x -250) 2)) (-.f64 (*.f64 x -250) (+.f64 (*.f64 500 y) (/.f64 (*.f64 x -250) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 x -250) 2) (+.f64 (*.f64 x -250) (*.f64 500 y))) (-.f64 (/.f64 (*.f64 x -250) 2) (neg.f64 (*.f64 x -250))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (-.f64 (*.f64 x -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x -250) (*.f64 500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x -250) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 500 y) (*.f64 x -250)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x -500) (*.f64 y 1000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 500 y) (*.f64 x -250)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 x -500) (*.f64 y 1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 x -1000) (+.f64 (*.f64 x -500) (*.f64 y 1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x -1000) (*.f64 y 2000)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x -1/2) y) 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 x -1000) (*.f64 y 2000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x -500) (*.f64 y 1000)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x -250) (*.f64 500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 500 y) (*.f64 x -250)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x -500) (*.f64 y 1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x -1000) (*.f64 y 2000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y 1000) (*.f64 x -500)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x -1000) (*.f64 y 2000))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x -500) (*.f64 y 1000)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y 2000) (*.f64 x -1000)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x -1000) (*.f64 y 2000))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 y 2000) (*.f64 x -1000)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x -1000) (+.f64 (*.f64 x -500) (*.f64 y 1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x -2000) (*.f64 2 (*.f64 y 2000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x -2000) (+.f64 (*.f64 x -1000) (*.f64 y 2000))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x -500) (*.f64 y 1000)) (*.f64 y 2000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x -1000) (*.f64 y 2000)) (*.f64 2 (*.f64 y 2000))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x -250) (*.f64 500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 500 y) (*.f64 x -250)))))))

simplify539.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1386×	`rational_best-simplify-51`
1312×	`rational_best-simplify-52`
1294×	`rational_best-simplify-48`
1102×	`rational_best-simplify-57`
712×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	4940
1	957	4692
2	2544	4090

Stop Event

1×	node limit

Counts

218 → 227

Calls

Call 1

Inputs
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 750 x))
(+.f64 (.f64 -250 x) (+.f64 (.f64 -500 y) (*.f64 750 x)))
(+.f64 (.f64 -250 x) (+.f64 (.f64 -500 y) (*.f64 750 x)))
(+.f64 (.f64 -250 x) (+.f64 (.f64 -500 y) (*.f64 750 x)))
(*.f64 -500 y)
(+.f64 (.f64 -250 x) (+.f64 (.f64 -500 y) (*.f64 750 x)))
(+.f64 (.f64 -250 x) (+.f64 (.f64 -500 y) (*.f64 750 x)))
(+.f64 (.f64 -250 x) (+.f64 (.f64 -500 y) (*.f64 750 x)))
(*.f64 -500 y)
(+.f64 (.f64 -250 x) (+.f64 (.f64 -500 y) (*.f64 750 x)))
(+.f64 (.f64 -250 x) (+.f64 (.f64 -500 y) (*.f64 750 x)))
(+.f64 (.f64 -250 x) (+.f64 (.f64 -500 y) (*.f64 750 x)))
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 750 x)
(*.f64 -500 y)
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(*.f64 -250 x)
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(*.f64 -250 x)
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(*.f64 -250 x)
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(+.f64 (.f64 -250 x) (.f64 -500 y))
(-.f64 (.f64 (.f64 x -1500) -1/2) (-.f64 (.f64 500 y) (.f64 x -250)))
(-.f64 (.f64 (.f64 x -1500) -1/2) (-.f64 (.f64 (.f64 x -1500) -1/2) (-.f64 (.f64 -1/4 (.f64 x -2000)) (*.f64 500 y))))
(-.f64 (.f64 x -250) (+.f64 (.f64 500 y) (.f64 (.f64 x -1500) 1/2)))
(-.f64 (.f64 x -250) (+.f64 (.f64 500 (+.f64 (.f64 x -1/2) (-.f64 y (.f64 x -1/2)))) (.f64 (.f64 x -1500) 1/2)))
(-.f64 (-.f64 (.f64 x -250) (.f64 500 y)) (.f64 (.f64 x -1500) 1/2))
(-.f64 (-.f64 (.f64 -1/4 (.f64 x -2000)) (*.f64 500 y)) 0)
(-.f64 0 (-.f64 (.f64 500 y) (.f64 -1/4 (*.f64 x -2000))))
(-.f64 0 (+.f64 (-.f64 (.f64 (.f64 x -1500) 1/2) (.f64 x -250)) (.f64 500 y)))
(-.f64 (neg.f64 (.f64 500 y)) (+.f64 (neg.f64 (.f64 x -250)) (.f64 (.f64 x -1500) 1/2)))
(-.f64 (neg.f64 (.f64 x -1500)) (.f64 1/2 (-.f64 (-.f64 (.f64 y 1000) (.f64 x -500)) (*.f64 x -1500))))
(-.f64 (.f64 (.f64 x -1500) -1/4) (-.f64 (.f64 500 y) (+.f64 (.f64 x -250) (.f64 (.f64 x -1500) -1/4))))
(-.f64 (-.f64 (.f64 x -500) (.f64 y 1000)) (-.f64 (.f64 x -250) (+.f64 (.f64 500 y) (.f64 (.f64 x -1500) -1/2))))
(-.f64 (.f64 x -500) (+.f64 (.f64 (.f64 x -1500) 1/2) (+.f64 (.f64 x -250) (*.f64 500 y))))
(-.f64 (+.f64 (-.f64 (.f64 x -250) (.f64 500 y)) (.f64 (.f64 x -1500) -1/4)) (/.f64 (*.f64 x -1500) 4))
(-.f64 (+.f64 (-.f64 (.f64 x -250) (.f64 500 y)) (.f64 (.f64 x -1500) -1/4)) (-.f64 (.f64 (.f64 x -1500) -1/4) (.f64 (.f64 x -1500) -1/2)))
(-.f64 (.f64 (.f64 x -4500) -1/4) (+.f64 (/.f64 (.f64 x -1500) 4) (.f64 1/2 (-.f64 (-.f64 (.f64 y 1000) (.f64 x -500)) (*.f64 x -1500)))))
(-.f64 (.f64 -1/4 (.f64 x -2000)) (*.f64 500 y))
(-.f64 (/.f64 (-.f64 (.f64 500 y) (.f64 x -250)) -2) (/.f64 (-.f64 (.f64 x -3000) (-.f64 (.f64 x -500) (*.f64 y 1000))) 4))
(-.f64 (/.f64 (-.f64 (.f64 500 y) (.f64 x -250)) -2) (+.f64 (/.f64 (-.f64 (.f64 x -250) (.f64 500 y)) -2) (.f64 (.f64 x -1500) 1/2)))
(-.f64 (/.f64 (.f64 x -250) 2) (+.f64 (/.f64 (-.f64 (.f64 y 2000) (.f64 x -500)) 4) (.f64 (*.f64 x -1500) 1/2)))
(-.f64 (/.f64 (.f64 x -250) 2) (-.f64 (+.f64 (.f64 500 y) (.f64 (.f64 x -1500) 1/2)) (/.f64 (*.f64 x -250) 2)))
(-.f64 (/.f64 (-.f64 (.f64 -1/4 (.f64 x -2000)) (.f64 500 y)) 2) (/.f64 (-.f64 (.f64 -1/4 (.f64 x -2000)) (.f64 500 y)) -2))
(-.f64 (/.f64 (-.f64 (.f64 -1/4 (.f64 x -2000)) (.f64 500 y)) 2) (/.f64 (-.f64 (.f64 x -1500) (-.f64 (.f64 x -500) (.f64 y 1000))) 4))
(-.f64 (/.f64 (-.f64 (.f64 -1/4 (.f64 x -2000)) (.f64 500 y)) 2) (-.f64 (/.f64 (-.f64 (.f64 x -250) (.f64 500 y)) -2) (.f64 (*.f64 x -1500) -1/4)))
(-.f64 (+.f64 (.f64 x -250) (.f64 (.f64 x -1500) -1/4)) (+.f64 (.f64 500 y) (/.f64 (*.f64 x -1500) 4)))
(-.f64 (+.f64 (.f64 x -250) (.f64 500 y)) (-.f64 (.f64 y 1000) (.f64 (*.f64 x -1500) -1/2)))
(-.f64 (+.f64 (.f64 x -250) (.f64 500 y)) (+.f64 (.f64 y 1000) (.f64 (*.f64 x -1500) 1/2)))
(-.f64 (+.f64 (.f64 (.f64 x -1500) -1/4) (/.f64 (.f64 x -250) 2)) (+.f64 (/.f64 (-.f64 (.f64 x -1500) (.f64 x -500)) 4) (.f64 500 y)))
(-.f64 (/.f64 (-.f64 (-.f64 (.f64 x -500) (.f64 y 1000)) (.f64 x -3000)) 4) (/.f64 (-.f64 (.f64 x -250) (*.f64 500 y)) -2))
(-.f64 (-.f64 (.f64 x -250) (+.f64 (.f64 x -250) (.f64 500 y))) (-.f64 (.f64 (.f64 x -1500) 1/2) (.f64 x -250)))
(-.f64 (-.f64 (.f64 x -250) (+.f64 (.f64 x -250) (.f64 500 y))) (+.f64 (neg.f64 (.f64 x -250)) (.f64 (.f64 x -1500) 1/2)))
(-.f64 (+.f64 (.f64 x -250) (.f64 -1/4 (.f64 x -2000))) (+.f64 (.f64 x -250) (*.f64 500 y)))
(-.f64 (/.f64 (-.f64 (neg.f64 (.f64 x -1500)) (-.f64 (-.f64 (.f64 y 1000) (.f64 x -500)) (.f64 x -1500))) 2) (.f64 (.f64 x -1500) 1/2))
(-.f64 (-.f64 (.f64 (.f64 x -4500) -1/4) (.f64 1/2 (-.f64 (-.f64 (.f64 y 1000) (.f64 x -500)) (.f64 x -1500)))) (/.f64 (*.f64 x -1500) 4))
(-.f64 (-.f64 (.f64 (.f64 x -1500) -1/4) (.f64 500 y)) (-.f64 (neg.f64 (.f64 x -250)) (.f64 (.f64 x -1500) -1/4)))
(-.f64 (/.f64 (.f64 x -1500) -8) (-.f64 (-.f64 (.f64 500 y) (+.f64 (.f64 x -250) (.f64 (.f64 x -1500) -1/4))) (/.f64 (.f64 x -1500) -8)))
(-.f64 (/.f64 (.f64 x -4500) -8) (+.f64 (/.f64 (.f64 x -1500) 8) (-.f64 (.f64 500 y) (.f64 x -250))))
(-.f64 (-.f64 (/.f64 (.f64 x -250) 2) (.f64 500 y)) (/.f64 (-.f64 (.f64 x -1500) (.f64 x -250)) 2))
(-.f64 (-.f64 (/.f64 (.f64 x -250) 2) (.f64 500 y)) (+.f64 (/.f64 (.f64 x 500) 4) (.f64 (*.f64 x -1500) 1/2)))
(-.f64 (/.f64 (-.f64 (neg.f64 (.f64 x -1500)) (.f64 y 1000)) 4) (-.f64 (/.f64 (.f64 500 (-.f64 y (neg.f64 x))) 2) (.f64 (*.f64 x -1500) -1/4)))
(-.f64 (-.f64 (.f64 (.f64 x -1500) -1/4) (neg.f64 (.f64 x -250))) (+.f64 (.f64 500 y) (/.f64 (*.f64 x -1500) 4)))
(-.f64 (/.f64 (-.f64 (.f64 x -250) (.f64 x -1500)) 2) (/.f64 (-.f64 (.f64 y 2000) (.f64 x -500)) 4))
(-.f64 (/.f64 (-.f64 (.f64 x -250) (.f64 x -1500)) 2) (+.f64 (/.f64 (.f64 x 500) 4) (.f64 500 y)))
(-.f64 (+.f64 (.f64 (.f64 x -1500) -1/4) (.f64 x -500)) (-.f64 (+.f64 (.f64 x -250) (.f64 500 y)) (.f64 (*.f64 x -1500) -1/4)))
(-.f64 (-.f64 (/.f64 (.f64 x -1500) -8) (/.f64 (.f64 x -1500) 4)) (-.f64 (-.f64 (.f64 500 y) (.f64 x -250)) (/.f64 (*.f64 x -1500) -8)))
(-.f64 (-.f64 (/.f64 (.f64 x -1500) -8) (-.f64 (.f64 500 y) (.f64 x -250))) (-.f64 (/.f64 (.f64 x -1500) 4) (/.f64 (*.f64 x -1500) -8)))
(-.f64 (-.f64 (/.f64 (.f64 x -250) 2) (+.f64 (.f64 500 y) (.f64 (.f64 x -1500) 1/2))) (/.f64 (*.f64 x 500) 4))
(-.f64 (-.f64 (.f64 (.f64 x -1500) -1/4) (/.f64 (.f64 500 (-.f64 y (neg.f64 x))) 2)) (/.f64 (-.f64 (.f64 y 1000) (neg.f64 (*.f64 x -1500))) 4))
(-.f64 (-.f64 (.f64 (.f64 x -1500) -1/4) (neg.f64 (.f64 500 y))) (-.f64 (-.f64 (.f64 y 1000) (.f64 x -250)) (.f64 (*.f64 x -1500) -1/4)))
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(/.f64 (-.f64 (.f64 -1/2 (.f64 x -2000)) (*.f64 y 1000)) 2)
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(.f64 (neg.f64 (.f64 x -3000)) 1/4)
(.f64 (.f64 -3000 (*.f64 x 4)) -1/16)
(.f64 (neg.f64 (.f64 x -6000)) 1/8)
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(.f64 -1/16 (.f64 -3000 (*.f64 x 4)))
(.f64 (.f64 (*.f64 x -6000) 4) -1/32)
(pow.f64 (.f64 (.f64 x -1500) -1/2) 1)
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(.f64 (-.f64 (.f64 x -1/2) y) 500)
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(/.f64 (-.f64 (.f64 x -250) (.f64 500 y)) 1)
(/.f64 (-.f64 (.f64 500 y) (.f64 x -250)) -1)
(/.f64 (-.f64 (.f64 x -500) (.f64 y 1000)) 2)
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(/.f64 (-.f64 (.f64 x -1000) (+.f64 (.f64 x -500) (*.f64 y 1000))) 2)
(/.f64 (-.f64 (.f64 x -2000) (.f64 2 (*.f64 y 2000))) 8)
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Outputs
(*.f64 -500 y)
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(-.f64 (.f64 x 1125) (+.f64 (.f64 1/2 (-.f64 (.f64 y 1000) (.f64 x -2000))) (/.f64 (*.f64 x -1500) 4)))
(-.f64 (.f64 -1/4 (.f64 x -2000)) (*.f64 500 y))
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(+.f64 (/.f64 (.f64 x -1500) -8) (-.f64 (/.f64 (.f64 x -1500) -8) (/.f64 (*.f64 x -1500) 4)))
(+.f64 (/.f64 (.f64 x -4500) -8) (/.f64 (.f64 x -1500) -8))
(*.f64 x 750)
(+.f64 (-.f64 (/.f64 (.f64 x -1500) -8) (/.f64 (.f64 x -1500) 4)) (/.f64 (*.f64 x -1500) -8))
(+.f64 (/.f64 (.f64 x -1500) -8) (-.f64 (/.f64 (.f64 x -1500) -8) (/.f64 (*.f64 x -1500) 4)))
(-.f64 (.f64 (.f64 x -1500) -1/2) 0)
(*.f64 x 750)
(-.f64 0 (.f64 (.f64 x -1500) 1/2))
(*.f64 x 750)
(-.f64 (.f64 (.f64 x -1500) -1/4) (/.f64 (*.f64 x -1500) 4))
(-.f64 (.f64 x 375) (/.f64 (.f64 x -1500) 4))
(-.f64 (/.f64 (.f64 x -1500) -8) (-.f64 (/.f64 (.f64 x -1500) 4) (/.f64 (*.f64 x -1500) -8)))
(+.f64 (.f64 -2 (/.f64 (.f64 x 1500) -8)) (/.f64 (*.f64 x -1500) -4))
(-.f64 (/.f64 (.f64 x -4500) -8) (/.f64 (.f64 x -1500) 8))
(-.f64 (/.f64 (.f64 x -4500) -8) (/.f64 (.f64 x 1500) -8))
(-.f64 (-.f64 (/.f64 (.f64 x -1500) -8) (/.f64 (.f64 x -1500) 4)) (-.f64 0 (/.f64 (*.f64 x -1500) -8)))
(-.f64 (/.f64 (.f64 x -1500) -8) (-.f64 (/.f64 (.f64 x -1500) 4) (/.f64 (*.f64 x -1500) -8)))
(+.f64 (.f64 -2 (/.f64 (.f64 x 1500) -8)) (/.f64 (*.f64 x -1500) -4))
(.f64 (.f64 x -1500) -1/2)
(*.f64 x 750)
(.f64 -2 (/.f64 (.f64 x -1500) 4))
(*.f64 x 750)
(.f64 (.f64 (*.f64 x -1500) -1/2) 1)
(*.f64 x 750)
(.f64 -1/2 (.f64 x -1500))
(*.f64 x 750)
(.f64 1 (.f64 (*.f64 x -1500) -1/2))
(*.f64 x 750)
(.f64 (.f64 x -3000) -1/4)
(*.f64 x 750)
(.f64 (.f64 (*.f64 x -1500) 1/2) -1)
(*.f64 x 750)
(.f64 (neg.f64 (.f64 x -1500)) 1/2)
(*.f64 x 750)
(.f64 (.f64 (*.f64 x -1500) -1/4) 2)
(*.f64 x 750)
(.f64 2 (.f64 (*.f64 x -1500) -1/4))
(*.f64 x 750)
(.f64 (.f64 x -6000) -1/8)
(*.f64 x 750)
(.f64 1/2 (neg.f64 (.f64 x -1500)))
(*.f64 x 750)
(.f64 -1/4 (.f64 x -3000))
(*.f64 x 750)
(.f64 -1/8 (.f64 x -6000))
(*.f64 x 750)
(.f64 (neg.f64 (.f64 x -3000)) 1/4)
(*.f64 x 750)
(.f64 (.f64 -3000 (*.f64 x 4)) -1/16)
(*.f64 x 750)
(.f64 (neg.f64 (.f64 x -6000)) 1/8)
(*.f64 x 750)
(.f64 1/4 (neg.f64 (.f64 x -3000)))
(*.f64 x 750)
(.f64 -1/16 (.f64 -3000 (*.f64 x 4)))
(*.f64 x 750)
(.f64 (.f64 (*.f64 x -6000) 4) -1/32)
(*.f64 x 750)
(pow.f64 (.f64 (.f64 x -1500) -1/2) 1)
(*.f64 x 750)
(neg.f64 (.f64 (.f64 x -1500) 1/2))
(*.f64 x 750)
(+.f64 (.f64 x -250) (neg.f64 (.f64 500 y)))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (.f64 x -250) (-.f64 (.f64 x -250) (+.f64 (.f64 x -250) (.f64 500 y))))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (-.f64 (.f64 x -250) (.f64 500 y)) 0)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 0 (-.f64 (.f64 x -250) (.f64 500 y)))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (neg.f64 (.f64 500 y)) (.f64 x -250))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (-.f64 (.f64 x -500) (.f64 500 y)) (neg.f64 (*.f64 x -250)))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (neg.f64 (.f64 x -250)) (-.f64 (.f64 x -500) (*.f64 500 y)))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (/.f64 (-.f64 (.f64 500 y) (.f64 x -250)) -2) (/.f64 (-.f64 (.f64 500 y) (.f64 x -250)) -2))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (/.f64 (.f64 x -250) 2) (-.f64 (/.f64 (.f64 x -250) 2) (*.f64 500 y)))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (-.f64 (.f64 x -250) (+.f64 (.f64 x -250) (.f64 500 y))) (.f64 x -250))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (/.f64 (.f64 500 y) -2) (-.f64 (.f64 x -250) (/.f64 (*.f64 500 y) 2)))
(+.f64 (/.f64 (.f64 y 500) -2) (-.f64 (.f64 x -250) (/.f64 (*.f64 y 500) 2)))
(+.f64 (/.f64 (.f64 y 500) -2) (-.f64 (.f64 x -250) (/.f64 (*.f64 y 1000) 4)))
(+.f64 (/.f64 (.f64 500 y) -2) (-.f64 (/.f64 (.f64 500 y) -2) (neg.f64 (*.f64 x -250))))
(+.f64 (/.f64 (.f64 y 500) -2) (-.f64 (/.f64 (.f64 y 500) -2) (neg.f64 (*.f64 x -250))))
(+.f64 (/.f64 (.f64 y 500) -2) (-.f64 (/.f64 (.f64 y 500) -2) (*.f64 x 250)))
(+.f64 (-.f64 (.f64 x -250) (/.f64 (.f64 500 y) 2)) (/.f64 (*.f64 500 y) -2))
(+.f64 (/.f64 (.f64 y 500) -2) (-.f64 (.f64 x -250) (/.f64 (*.f64 y 500) 2)))
(+.f64 (/.f64 (.f64 y 500) -2) (-.f64 (.f64 x -250) (/.f64 (*.f64 y 1000) 4)))
(+.f64 (-.f64 (.f64 x -250) (/.f64 (.f64 500 y) 2)) (-.f64 (.f64 x -250) (+.f64 (.f64 x -250) (/.f64 (*.f64 500 y) 2))))
(+.f64 (/.f64 (.f64 y 500) -2) (-.f64 (.f64 x -250) (/.f64 (*.f64 y 500) 2)))
(+.f64 (/.f64 (.f64 y 500) -2) (-.f64 (.f64 x -250) (/.f64 (*.f64 y 1000) 4)))
(+.f64 (-.f64 (/.f64 (.f64 x -250) 2) (.f64 500 y)) (/.f64 (*.f64 x -250) 2))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (-.f64 (.f64 x -250) (/.f64 (.f64 x -250) 2)) (-.f64 (.f64 x -250) (+.f64 (.f64 500 y) (/.f64 (*.f64 x -250) 2))))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(+.f64 (-.f64 (/.f64 (.f64 x -250) 2) (+.f64 (.f64 x -250) (.f64 500 y))) (-.f64 (/.f64 (.f64 x -250) 2) (neg.f64 (*.f64 x -250))))
(+.f64 (-.f64 (/.f64 (.f64 x -250) 2) (+.f64 (.f64 y 500) (.f64 x -250))) (.f64 3 (/.f64 (*.f64 x -250) 2)))
(+.f64 (neg.f64 (.f64 y 500)) (+.f64 (.f64 -1 (/.f64 (.f64 x -250) 2)) (.f64 (*.f64 x -250) 3/2)))
(+.f64 (.f64 -500 y) (.f64 (.f64 (.f64 -500 x) 1/4) 2))
(.f64 500 (-.f64 (.f64 x -1/2) y))
(.f64 (-.f64 (.f64 x -250) (*.f64 500 y)) 1)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(.f64 1 (-.f64 (.f64 x -250) (*.f64 500 y)))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(.f64 (-.f64 (.f64 500 y) (*.f64 x -250)) -1)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(.f64 (-.f64 (.f64 x -500) (*.f64 y 1000)) 1/2)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(.f64 -1 (-.f64 (.f64 500 y) (*.f64 x -250)))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(.f64 1/2 (-.f64 (.f64 x -500) (*.f64 y 1000)))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(.f64 1/2 (-.f64 (.f64 x -1000) (+.f64 (.f64 x -500) (.f64 y 1000))))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(.f64 (-.f64 (.f64 x -1000) (*.f64 y 2000)) 1/4)
(.f64 (-.f64 (.f64 x -1/2) y) 500)
(.f64 500 (-.f64 (.f64 x -1/2) y))
(.f64 1/4 (-.f64 (.f64 x -1000) (*.f64 y 2000)))
(.f64 (-.f64 (.f64 x -1000) (*.f64 y 2000)) 1/4)
(.f64 (.f64 (-.f64 (.f64 x -500) (.f64 y 1000)) 4) 1/8)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (-.f64 (.f64 x -250) (.f64 500 y)) 1)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (-.f64 (.f64 500 y) (.f64 x -250)) -1)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (-.f64 (.f64 x -500) (.f64 y 1000)) 2)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (-.f64 (.f64 x -1000) (.f64 y 2000)) 4)
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(/.f64 (-.f64 (.f64 y 1000) (.f64 x -500)) -2)
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(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (neg.f64 (-.f64 (.f64 x -1000) (.f64 y 2000))) -4)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (.f64 (-.f64 (.f64 x -500) (*.f64 y 1000)) 4) 8)
(/.f64 (.f64 (-.f64 (.f64 -500 x) (*.f64 y 1000)) 4) 8)
(/.f64 (.f64 4 (-.f64 (.f64 -500 x) (*.f64 y 1000))) 8)
(/.f64 (-.f64 (.f64 y 2000) (.f64 x -1000)) -4)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 x -1000) (.f64 y 2000))) -1) 4)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (/.f64 (-.f64 (.f64 y 2000) (.f64 x -1000)) -1) 4)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (-.f64 (.f64 x -1000) (+.f64 (.f64 x -500) (*.f64 y 1000))) 2)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (-.f64 (.f64 x -2000) (.f64 2 (*.f64 y 2000))) 8)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (-.f64 (.f64 x -2000) (+.f64 (.f64 x -1000) (*.f64 y 2000))) 4)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (-.f64 (+.f64 (.f64 x -500) (.f64 y 1000)) (*.f64 y 2000)) 2)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(/.f64 (-.f64 (+.f64 (.f64 x -1000) (.f64 y 2000)) (.f64 2 (.f64 y 2000))) 4)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(pow.f64 (-.f64 (.f64 x -250) (.f64 500 y)) 1)
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))
(neg.f64 (-.f64 (.f64 500 y) (.f64 x -250)))
(+.f64 (.f64 -500 y) (.f64 x -250))
(+.f64 (.f64 x -250) (.f64 -500 y))

localize34.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -500 (+.f64 y x))
✓	0.0b	(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
0.0ms	x	@	0	(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
0.0ms	y	@	inf	(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
0.0ms	x	@	-inf	(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
0.0ms	y	@	-inf	(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))

rewrite278.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`rational_best-simplify-83`
718×	`rational_best-simplify-48`
694×	`rational_best-simplify-52`
660×	`rational_best-simplify-57`
658×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	65	38
2	119	38
3	324	38
4	1219	38

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
(*.f64 -500 (+.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y x) 500) (*.f64 y -1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y x) 500) (neg.f64 (neg.f64 (*.f64 y -1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -2000) (neg.f64 (*.f64 -500 (+.f64 (+.f64 y x) (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -500 (-.f64 (*.f64 y 4) (+.f64 y x))) (neg.f64 (*.f64 y -1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 y -1000)) (*.f64 -500 (-.f64 (*.f64 y 4) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y -2000) 4) (/.f64 (*.f64 -1000 (-.f64 y (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 y -4000) (*.f64 (+.f64 y x) -2000)) 8) (/.f64 (-.f64 (*.f64 y -4000) (*.f64 (+.f64 y x) -2000)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -500 (+.f64 (+.f64 y x) (+.f64 y y))) (neg.f64 (*.f64 -1000 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 3) 2) (/.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1000 (-.f64 y (+.f64 y x))) (*.f64 -500 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y -2000) (*.f64 y -1000)) (*.f64 (+.f64 y x) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y -1000) (/.f64 (*.f64 -500 (+.f64 y x)) -2)) (/.f64 (*.f64 -500 (+.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y -1000) (/.f64 (*.f64 -500 (+.f64 y x)) -2)) (-.f64 (*.f64 y -1000) (+.f64 (*.f64 y -1000) (/.f64 (*.f64 -500 (+.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -500 (+.f64 y x)) -2) (+.f64 (*.f64 y -1000) (/.f64 (*.f64 -500 (+.f64 y x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -500 (+.f64 y x)) -2) (neg.f64 (-.f64 (/.f64 (*.f64 -500 (+.f64 y x)) 2) (*.f64 y -1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -500 (+.f64 y x)) -2) (/.f64 (-.f64 (/.f64 (*.f64 -500 (+.f64 y x)) 2) (*.f64 y -1000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -500 (+.f64 y x)) -2) (-.f64 (/.f64 (*.f64 -500 (+.f64 y x)) -2) (neg.f64 (*.f64 y -1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (*.f64 y -1000))) (*.f64 (+.f64 y x) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 4) (/.f64 (*.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 4) (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -1000 (-.f64 y (+.f64 y x))) 2) (/.f64 (*.f64 y -2000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -1000 (-.f64 y (+.f64 y x))) 2) (neg.f64 (/.f64 (*.f64 y -1000) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 y -2000) 4) (*.f64 -500 (+.f64 (+.f64 y x) (+.f64 y y)))) (-.f64 (/.f64 (*.f64 y -2000) 4) (neg.f64 (*.f64 y -1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y -1000) (/.f64 (*.f64 y -2000) 4)) (/.f64 (*.f64 -1000 (-.f64 y (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y -2000) (/.f64 (*.f64 -500 (+.f64 y x)) 2)) (neg.f64 (+.f64 (*.f64 y -1000) (/.f64 (*.f64 -500 (+.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y -2000) (/.f64 (*.f64 y -2000) 4)) (neg.f64 (+.f64 (*.f64 -500 (+.f64 y x)) (/.f64 (*.f64 y -2000) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -500 (+.f64 (+.f64 y x) (+.f64 y y))) (/.f64 (*.f64 -500 (+.f64 y x)) 2)) (neg.f64 (/.f64 (*.f64 (+.f64 y x) -1500) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -500 (-.f64 (*.f64 y 4) (+.f64 y x))) 4) (/.f64 (+.f64 (*.f64 (+.f64 y x) 500) (-.f64 (*.f64 y -2000) (*.f64 -1000 (+.f64 y x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 (*.f64 -500 (+.f64 y x)) 2) (*.f64 y -1000)) -1) (/.f64 (*.f64 -500 (+.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 -1000 (-.f64 (+.f64 y x) y)) 2) -1) (/.f64 (/.f64 (*.f64 y -1000) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -500 (+.f64 y (-.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -500 (-.f64 (*.f64 y 4) (+.f64 (+.f64 y x) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 -500 (+.f64 y x)) (*.f64 y -1000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y -2000) (*.f64 -1000 (+.f64 y x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 -500 (+.f64 y x)) (*.f64 y -1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 y -2000) (*.f64 -1000 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -250 (-.f64 (*.f64 y 4) (*.f64 (+.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y -4000) (*.f64 (+.f64 y x) -2000)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 y -4000) (*.f64 (+.f64 y x) -2000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 y (+.f64 y x))) -500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 y -4000) (*.f64 (+.f64 y x) -2000))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -500 (+.f64 y x)) (*.f64 y -1000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y -2000) (*.f64 -1000 (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y -4000) (*.f64 (+.f64 y x) -2000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1000 (+.f64 (+.f64 y x) (*.f64 y -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 y -4000) (*.f64 (+.f64 y x) -2000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 y x) (*.f64 y -2)) -2000) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (+.f64 y x) (*.f64 y -2)) -2000) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (+.f64 y x) -2000)) (*.f64 y -4000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 y -4000)) (*.f64 -1000 (*.f64 (+.f64 y x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 y -4000)) (+.f64 (*.f64 (+.f64 y x) -2000) (*.f64 y -4000))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1000 (+.f64 (+.f64 y x) (+.f64 y y))) (*.f64 (+.f64 y x) -2000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (+.f64 y x) -2000) (*.f64 y -4000)) (*.f64 -1000 (*.f64 (+.f64 y x) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y -1000) (*.f64 (+.f64 y x) 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 -500 (+.f64 y x)) (*.f64 y -1000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -500 (+.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -500 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -500 (+.f64 y x)) 2) (/.f64 (*.f64 -500 (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -500 (+.f64 y x)) 2) (neg.f64 (/.f64 (*.f64 -500 (+.f64 y x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -500 (+.f64 y x)) 4) (/.f64 (/.f64 (*.f64 (+.f64 y x) -1500) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -500 (+.f64 y x)) 4) (/.f64 (*.f64 (+.f64 y x) -1500) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -500 (+.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 y x) 500))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -500 (+.f64 y x)) 2) (/.f64 (*.f64 -500 (+.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) -1500) 2) 2) (/.f64 (/.f64 (*.f64 -500 (+.f64 y x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 y x) -1500) 4) (/.f64 (*.f64 (+.f64 y x) 500) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 -500 (+.f64 y x)) 4) (/.f64 (*.f64 -500 (+.f64 y x)) 2)) (-.f64 0 (/.f64 (*.f64 -500 (+.f64 y x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -500 (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) 500) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1000 (+.f64 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) -2000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1000 (*.f64 (+.f64 y x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -500 (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 y x) 500))))))

simplify531.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational_best-simplify-55`
1024×	`rational_best-simplify-63`
1012×	`rational_best-simplify-85`
704×	`rational_best-simplify-47`
624×	`rational_best-simplify-64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	2611
1	515	2375
2	1296	2347
3	5449	2287

Stop Event

1×	node limit

Counts

129 → 120

Calls

Call 1

Inputs
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(-.f64 (.f64 -1000 y) (.f64 -500 y))
(-.f64 (+.f64 (.f64 500 x) (.f64 -1000 y)) (*.f64 -500 y))
(-.f64 (+.f64 (.f64 500 x) (.f64 -1000 y)) (*.f64 -500 y))
(-.f64 (+.f64 (.f64 500 x) (.f64 -1000 y)) (*.f64 -500 y))
(*.f64 500 x)
(-.f64 (+.f64 (.f64 -1000 y) (.f64 500 x)) (*.f64 -500 y))
(-.f64 (+.f64 (.f64 -1000 y) (.f64 500 x)) (*.f64 -500 y))
(-.f64 (+.f64 (.f64 -1000 y) (.f64 500 x)) (*.f64 -500 y))
(*.f64 500 x)
(-.f64 (+.f64 (.f64 -1000 y) (.f64 500 x)) (*.f64 -500 y))
(-.f64 (+.f64 (.f64 -1000 y) (.f64 500 x)) (*.f64 -500 y))
(-.f64 (+.f64 (.f64 -1000 y) (.f64 500 x)) (*.f64 -500 y))
(*.f64 -500 x)
(+.f64 (.f64 -500 y) (.f64 -500 x))
(+.f64 (.f64 -500 y) (.f64 -500 x))
(+.f64 (.f64 -500 y) (.f64 -500 x))
(*.f64 -500 y)
(+.f64 (.f64 -500 x) (.f64 -500 y))
(+.f64 (.f64 -500 x) (.f64 -500 y))
(+.f64 (.f64 -500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 -500 x) (.f64 -500 y))
(+.f64 (.f64 -500 x) (.f64 -500 y))
(+.f64 (.f64 -500 x) (.f64 -500 y))
(*.f64 -500 y)
(+.f64 (.f64 -500 x) (.f64 -500 y))
(+.f64 (.f64 -500 x) (.f64 -500 y))
(+.f64 (.f64 -500 x) (.f64 -500 y))
(*.f64 -500 x)
(+.f64 (.f64 -500 y) (.f64 -500 x))
(+.f64 (.f64 -500 y) (.f64 -500 x))
(+.f64 (.f64 -500 y) (.f64 -500 x))
(*.f64 -500 x)
(+.f64 (.f64 -500 y) (.f64 -500 x))
(+.f64 (.f64 -500 y) (.f64 -500 x))
(+.f64 (.f64 -500 y) (.f64 -500 x))
(+.f64 (.f64 y -1000) (.f64 (+.f64 y x) 500))
(+.f64 (+.f64 (.f64 y -1000) (.f64 (+.f64 y x) 500)) 0)
(+.f64 0 (+.f64 (.f64 y -1000) (.f64 (+.f64 y x) 500)))
(+.f64 (.f64 (+.f64 y x) 500) (.f64 y -1000))
(+.f64 (.f64 (+.f64 y x) 500) (neg.f64 (neg.f64 (.f64 y -1000))))
(+.f64 (.f64 y -2000) (neg.f64 (.f64 -500 (+.f64 (+.f64 y x) (+.f64 y y)))))
(+.f64 (.f64 -500 (-.f64 (.f64 y 4) (+.f64 y x))) (neg.f64 (*.f64 y -1000)))
(+.f64 (neg.f64 (.f64 y -1000)) (.f64 -500 (-.f64 (*.f64 y 4) (+.f64 y x))))
(+.f64 (/.f64 (.f64 y -2000) 4) (/.f64 (.f64 -1000 (-.f64 y (+.f64 y x))) 2))
(+.f64 (/.f64 (-.f64 (.f64 y -4000) (.f64 (+.f64 y x) -2000)) 8) (/.f64 (-.f64 (.f64 y -4000) (.f64 (+.f64 y x) -2000)) 8))
(+.f64 (.f64 -500 (+.f64 (+.f64 y x) (+.f64 y y))) (neg.f64 (.f64 -1000 (+.f64 y x))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 y -1000) (.f64 (+.f64 y x) 500)) 3) 2) (/.f64 (+.f64 (.f64 y -1000) (*.f64 (+.f64 y x) 500)) -2))
(+.f64 (.f64 -1000 (-.f64 y (+.f64 y x))) (.f64 -500 (+.f64 y x)))
(+.f64 (-.f64 (.f64 y -2000) (.f64 y -1000)) (*.f64 (+.f64 y x) 500))
(+.f64 (+.f64 (.f64 y -1000) (/.f64 (.f64 -500 (+.f64 y x)) -2)) (/.f64 (*.f64 -500 (+.f64 y x)) -2))
(+.f64 (+.f64 (.f64 y -1000) (/.f64 (.f64 -500 (+.f64 y x)) -2)) (-.f64 (.f64 y -1000) (+.f64 (.f64 y -1000) (/.f64 (*.f64 -500 (+.f64 y x)) 2))))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) -2) (+.f64 (.f64 y -1000) (/.f64 (*.f64 -500 (+.f64 y x)) -2)))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) -2) (neg.f64 (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (*.f64 y -1000))))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) -2) (/.f64 (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (*.f64 y -1000)) -1))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) -2) (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) -2) (neg.f64 (*.f64 y -1000))))
(+.f64 (neg.f64 (neg.f64 (.f64 y -1000))) (.f64 (+.f64 y x) 500))
(+.f64 (/.f64 (+.f64 (.f64 y -1000) (.f64 (+.f64 y x) 500)) 4) (/.f64 (.f64 (+.f64 (.f64 y -1000) (*.f64 (+.f64 y x) 500)) 3) 4))
(+.f64 (/.f64 (+.f64 (.f64 y -1000) (.f64 (+.f64 y x) 500)) 4) (/.f64 (/.f64 (.f64 (+.f64 (.f64 y -1000) (*.f64 (+.f64 y x) 500)) 3) 2) 2))
(+.f64 (/.f64 (.f64 -1000 (-.f64 y (+.f64 y x))) 2) (/.f64 (.f64 y -2000) 4))
(+.f64 (/.f64 (.f64 -1000 (-.f64 y (+.f64 y x))) 2) (neg.f64 (/.f64 (.f64 y -1000) -2)))
(+.f64 (-.f64 (/.f64 (.f64 y -2000) 4) (.f64 -500 (+.f64 (+.f64 y x) (+.f64 y y)))) (-.f64 (/.f64 (.f64 y -2000) 4) (neg.f64 (.f64 y -1000))))
(+.f64 (-.f64 (.f64 y -1000) (/.f64 (.f64 y -2000) 4)) (/.f64 (*.f64 -1000 (-.f64 y (+.f64 y x))) 2))
(+.f64 (-.f64 (.f64 y -2000) (/.f64 (.f64 -500 (+.f64 y x)) 2)) (neg.f64 (+.f64 (.f64 y -1000) (/.f64 (.f64 -500 (+.f64 y x)) 2))))
(+.f64 (-.f64 (.f64 y -2000) (/.f64 (.f64 y -2000) 4)) (neg.f64 (+.f64 (.f64 -500 (+.f64 y x)) (/.f64 (.f64 y -2000) 4))))
(+.f64 (-.f64 (.f64 -500 (+.f64 (+.f64 y x) (+.f64 y y))) (/.f64 (.f64 -500 (+.f64 y x)) 2)) (neg.f64 (/.f64 (*.f64 (+.f64 y x) -1500) 2)))
(+.f64 (/.f64 (.f64 -500 (-.f64 (.f64 y 4) (+.f64 y x))) 4) (/.f64 (+.f64 (.f64 (+.f64 y x) 500) (-.f64 (.f64 y -2000) (*.f64 -1000 (+.f64 y x)))) 4))
(+.f64 (/.f64 (-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (.f64 y -1000)) -1) (/.f64 (*.f64 -500 (+.f64 y x)) -2))
(+.f64 (/.f64 (/.f64 (.f64 -1000 (-.f64 (+.f64 y x) y)) 2) -1) (/.f64 (/.f64 (.f64 y -1000) -2) -1))
(*.f64 -500 (+.f64 y (-.f64 y (+.f64 y x))))
(.f64 -500 (-.f64 (.f64 y 4) (+.f64 (+.f64 y x) (+.f64 y y))))
(.f64 (+.f64 (.f64 y -1000) (*.f64 (+.f64 y x) 500)) 1)
(.f64 1 (+.f64 (.f64 y -1000) (*.f64 (+.f64 y x) 500)))
(.f64 (-.f64 (.f64 -500 (+.f64 y x)) (*.f64 y -1000)) -1)
(.f64 2 (.f64 (+.f64 (.f64 y -1000) (.f64 (+.f64 y x) 500)) 1/2))
(.f64 (-.f64 (.f64 y -2000) (*.f64 -1000 (+.f64 y x))) 1/2)
(.f64 -1 (-.f64 (.f64 -500 (+.f64 y x)) (*.f64 y -1000)))
(.f64 1/2 (-.f64 (.f64 y -2000) (*.f64 -1000 (+.f64 y x))))
(.f64 -250 (-.f64 (.f64 y 4) (*.f64 (+.f64 y x) 2)))
(.f64 (-.f64 (.f64 y -4000) (*.f64 (+.f64 y x) -2000)) 1/4)
(.f64 1/4 (-.f64 (.f64 y -4000) (*.f64 (+.f64 y x) -2000)))
(*.f64 (+.f64 y (-.f64 y (+.f64 y x))) -500)
(.f64 (.f64 2 (-.f64 (.f64 y -4000) (.f64 (+.f64 y x) -2000))) 1/8)
(/.f64 (+.f64 (.f64 y -1000) (.f64 (+.f64 y x) 500)) 1)
(/.f64 (-.f64 (.f64 -500 (+.f64 y x)) (.f64 y -1000)) -1)
(/.f64 (-.f64 (.f64 y -2000) (.f64 -1000 (+.f64 y x))) 2)
(/.f64 (-.f64 (.f64 y -4000) (.f64 (+.f64 y x) -2000)) 4)
(/.f64 (.f64 -1000 (+.f64 (+.f64 y x) (.f64 y -2))) -2)
(/.f64 (.f64 2 (-.f64 (.f64 y -4000) (*.f64 (+.f64 y x) -2000))) 8)
(/.f64 (.f64 (+.f64 (+.f64 y x) (.f64 y -2)) -2000) -4)
(/.f64 (/.f64 (.f64 (+.f64 (+.f64 y x) (.f64 y -2)) -2000) -1) 4)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 y x) -2000)) (.f64 y -4000)) 4)
(/.f64 (-.f64 (.f64 2 (.f64 y -4000)) (.f64 -1000 (.f64 (+.f64 y x) 4))) 8)
(/.f64 (-.f64 (.f64 2 (.f64 y -4000)) (+.f64 (.f64 (+.f64 y x) -2000) (.f64 y -4000))) 4)
(/.f64 (-.f64 (.f64 -1000 (+.f64 (+.f64 y x) (+.f64 y y))) (.f64 (+.f64 y x) -2000)) 2)
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 y x) -2000) (.f64 y -4000)) (.f64 -1000 (.f64 (+.f64 y x) 4))) 4)
(pow.f64 (+.f64 (.f64 y -1000) (.f64 (+.f64 y x) 500)) 1)
(neg.f64 (-.f64 (.f64 -500 (+.f64 y x)) (.f64 y -1000)))
(+.f64 (*.f64 -500 (+.f64 y x)) 0)
(+.f64 0 (*.f64 -500 (+.f64 y x)))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (/.f64 (.f64 -500 (+.f64 y x)) 2))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (neg.f64 (/.f64 (.f64 -500 (+.f64 y x)) -2)))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) 4) (/.f64 (/.f64 (.f64 (+.f64 y x) -1500) 2) 2))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) 4) (/.f64 (.f64 (+.f64 y x) -1500) 4))
(-.f64 (*.f64 -500 (+.f64 y x)) 0)
(-.f64 0 (*.f64 (+.f64 y x) 500))
(-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (/.f64 (.f64 -500 (+.f64 y x)) -2))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 y x) -1500) 2) 2) (/.f64 (/.f64 (.f64 -500 (+.f64 y x)) -2) 2))
(-.f64 (/.f64 (.f64 (+.f64 y x) -1500) 4) (/.f64 (.f64 (+.f64 y x) 500) 4))
(-.f64 (+.f64 (/.f64 (.f64 -500 (+.f64 y x)) 4) (/.f64 (.f64 -500 (+.f64 y x)) 2)) (-.f64 0 (/.f64 (*.f64 -500 (+.f64 y x)) 4)))
(/.f64 (*.f64 -500 (+.f64 y x)) 1)
(/.f64 (*.f64 (+.f64 y x) 500) -1)
(/.f64 (*.f64 -1000 (+.f64 y x)) 2)
(/.f64 (*.f64 (+.f64 y x) -2000) 4)
(/.f64 (.f64 -1000 (.f64 (+.f64 y x) 4)) 8)
(pow.f64 (*.f64 -500 (+.f64 y x)) 1)
(neg.f64 (*.f64 (+.f64 y x) 500))

Outputs
(*.f64 500 x)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(*.f64 -500 y)
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
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(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (neg.f64 (/.f64 (.f64 -500 (+.f64 y x)) -2)))
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) 4) (/.f64 (/.f64 (.f64 (+.f64 y x) -1500) 2) 2))
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(+.f64 (/.f64 (.f64 -500 (+.f64 y x)) 4) (/.f64 (.f64 (+.f64 y x) -1500) 4))
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(-.f64 (*.f64 -500 (+.f64 y x)) 0)
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(-.f64 0 (*.f64 (+.f64 y x) 500))
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(-.f64 (/.f64 (.f64 -500 (+.f64 y x)) 2) (/.f64 (.f64 -500 (+.f64 y x)) -2))
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 y x) -1500) 2) 2) (/.f64 (/.f64 (.f64 -500 (+.f64 y x)) -2) 2))
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(-.f64 (/.f64 (.f64 (+.f64 y x) -1500) 4) (/.f64 (.f64 (+.f64 y x) 500) 4))
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(-.f64 (+.f64 (/.f64 (.f64 -500 (+.f64 y x)) 4) (/.f64 (.f64 -500 (+.f64 y x)) 2)) (-.f64 0 (/.f64 (*.f64 -500 (+.f64 y x)) 4)))
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(/.f64 (*.f64 -500 (+.f64 y x)) 1)
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(/.f64 (*.f64 (+.f64 y x) 500) -1)
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(/.f64 (*.f64 -1000 (+.f64 y x)) 2)
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(/.f64 (*.f64 (+.f64 y x) -2000) 4)
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(/.f64 (.f64 -1000 (.f64 (+.f64 y x) 4)) 8)
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(pow.f64 (*.f64 -500 (+.f64 y x)) 1)
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))
(neg.f64 (*.f64 (+.f64 y x) 500))
(+.f64 (.f64 -500 y) (.f64 x -500))
(*.f64 -500 (+.f64 x y))

eval840.0ms (5.6%)

Compiler: Compiled 5800 to 4313 computations (25.6% saved)

prune218.0ms (1.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	346	1	347
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	347	6	353

Error

0.0b

Counts

353 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
▶	33.1b	(+.f64 (.f64 -250 x) (.f64 750 x))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	32.8b	(*.f64 500 x)
✓	29.7b	(*.f64 -500 y)

Compiler

Compiled 46 to 35 computations (23.9% saved)

localize29.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(+.f64 (.f64 -250 x) (.f64 750 x))

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 -250 x) (.f64 750 x))
0.0ms	x	@	0	(+.f64 (.f64 -250 x) (.f64 750 x))
0.0ms	x	@	-inf	(+.f64 (.f64 -250 x) (.f64 750 x))

rewrite510.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`rational_best-1`
688×	`rational_best-simplify-48`
668×	`rational_best-simplify-51`
642×	`rational_best-simplify-47`
642×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	59	7
2	121	7
3	292	7
4	998	7
5	7469	7

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

Inputs
(+.f64 (.f64 -250 x) (.f64 750 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -250 x) (*.f64 x -750))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -250 x) (-.f64 (*.f64 x 750) (*.f64 x 1500)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -250 x) (+.f64 (*.f64 x -1000) (*.f64 x 250)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -250 x) (-.f64 (-.f64 0 (/.f64 (*.f64 x 1250) 2)) (/.f64 (*.f64 x 2000) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 750) (*.f64 x 250))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 500) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x -500))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 250) (*.f64 -250 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 250) (-.f64 (*.f64 x 1250) (*.f64 x 1500)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -750) (-.f64 0 (*.f64 x 1250)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -750) (neg.f64 (*.f64 x 1250)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -750) (-.f64 (neg.f64 (*.f64 x 1500)) (*.f64 -250 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1000) (*.f64 x 500))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1000) (-.f64 (*.f64 x 2000) (*.f64 x 1500)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1500) (*.f64 x 1000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1250) (*.f64 x 750))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -500) (*.f64 x -1000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3000) (*.f64 x 2500))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 1500) 4) (/.f64 (*.f64 -250 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 1500) 4) (neg.f64 (/.f64 (*.f64 x 2000) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -250 x) 2) (-.f64 0 (/.f64 (*.f64 x 1250) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -250 x) 2) (+.f64 (*.f64 x -1000) (/.f64 (*.f64 x 1500) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -250 x) 2) (+.f64 (/.f64 (*.f64 x 2000) 16) (*.f64 x -750)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -250 x) 2) (neg.f64 (/.f64 (*.f64 x 1250) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -250 x) 2) (/.f64 (-.f64 0 (*.f64 x 1250)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 2250) 2) (/.f64 (*.f64 x 1250) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 2250) 2) (-.f64 (+.f64 (/.f64 (*.f64 x 2250) 2) (*.f64 x 250)) (*.f64 x 750)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 1250) 2) (/.f64 (*.f64 x 2000) 16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 1250) 2) (-.f64 (*.f64 x 500) (/.f64 (*.f64 x 1500) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 x 1250)) (-.f64 (*.f64 -250 x) (*.f64 x 1500)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 750) -2) (-.f64 0 (/.f64 (*.f64 x 1750) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 750) -2) (+.f64 (*.f64 x -1000) (/.f64 (*.f64 x 2000) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 750) -2) (+.f64 (*.f64 -250 x) (-.f64 0 (/.f64 (*.f64 x 1250) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 750) -2) (+.f64 (-.f64 0 (/.f64 (*.f64 x 1250) 2)) (*.f64 -250 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 x 1500)) (-.f64 (*.f64 x -500) (*.f64 x 1500)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 x 1500)) (+.f64 (-.f64 0 (*.f64 x 1250)) (*.f64 x -750)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 2000) 16) (/.f64 (*.f64 x 750) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 (*.f64 x 1250) 2)) (-.f64 0 (/.f64 (*.f64 x 2250) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1750) (*.f64 x 1250))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 1750) 2) (/.f64 (*.f64 x 1500) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 x 2250) 2) (*.f64 x 250)) (/.f64 (*.f64 x 1750) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 x 2250) 2) (*.f64 x 250)) (+.f64 (/.f64 (*.f64 x 2250) 2) (*.f64 -250 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -1000) (neg.f64 (*.f64 x 1500)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -1000) (+.f64 (*.f64 x -1000) (*.f64 x -500)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 -250 x) 4) (/.f64 (*.f64 -250 x) 2)) (-.f64 (*.f64 x -750) (/.f64 (*.f64 -250 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 x 750) 4) (/.f64 (*.f64 x 1500) 4)) (-.f64 (*.f64 x 250) (/.f64 (*.f64 x 750) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 -250 x) 2) (*.f64 x -1000)) (/.f64 (*.f64 x 1500) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 x 1250) 2) (*.f64 -250 x)) (/.f64 (*.f64 x 1500) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 (*.f64 x 2250) 2) (*.f64 x 250)) (*.f64 -250 x)) (/.f64 (*.f64 x 2250) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 750) (*.f64 x 1500)) (-.f64 0 (*.f64 x 1250)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 x 750) -2) -1) (/.f64 (*.f64 -250 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -750) -2) (/.f64 (*.f64 -250 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 x 2000) 16) (+.f64 (/.f64 (*.f64 x 2250) 2) (*.f64 x 250))) (*.f64 x 1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -250 (*.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -250 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 500) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 500))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 250) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x -500))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 250))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 250)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 -250 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x 1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 x -1000) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 250 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -125 (*.f64 (*.f64 x 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -500) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1000 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -500 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2000) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 125)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 x) -250)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 2000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 2 (*.f64 x -1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 125 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 2000)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x -1000)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 4)) 125/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1000) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -250 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 500) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 250) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -500) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 2000)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x -1000)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1000) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 x -1000)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x -1000)) (*.f64 2 (*.f64 x 2000))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x -1000)) (*.f64 2 (*.f64 x 3000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x 3000)) (*.f64 2 (*.f64 x -1000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x 2000)) (*.f64 2 (*.f64 x 2000))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 x 3000)) (*.f64 2 (*.f64 x 2000))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 500) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -500))))))

simplify1.1s (7%)

Algorithm

1×	egg-herbie

Rules

1404×	`rational_best-simplify-1`
1088×	`rational_best-simplify-3`
710×	`rational_best-simplify-55`
696×	`rational_best-simplify-48`
696×	`rational_best-simplify-52`

Iterations

Useful iterations: 3 (1.0ms)

Iter	Nodes	Cost
0	215	985
1	476	947
2	1095	935
3	5956	929
4	7857	929

Stop Event

1×	node limit

Counts

113 → 115

Calls

Call 1

Inputs
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(-.f64 (.f64 -250 x) (.f64 x -750))
(-.f64 (.f64 -250 x) (-.f64 (.f64 x 750) (*.f64 x 1500)))
(-.f64 (.f64 -250 x) (+.f64 (.f64 x -1000) (*.f64 x 250)))
(-.f64 (.f64 -250 x) (-.f64 (-.f64 0 (/.f64 (.f64 x 1250) 2)) (/.f64 (*.f64 x 2000) 16)))
(-.f64 (.f64 x 750) (.f64 x 250))
(-.f64 (*.f64 x 500) 0)
(-.f64 0 (*.f64 x -500))
(-.f64 (.f64 x 250) (.f64 -250 x))
(-.f64 (.f64 x 250) (-.f64 (.f64 x 1250) (*.f64 x 1500)))
(-.f64 (.f64 x -750) (-.f64 0 (.f64 x 1250)))
(-.f64 (.f64 x -750) (neg.f64 (.f64 x 1250)))
(-.f64 (.f64 x -750) (-.f64 (neg.f64 (.f64 x 1500)) (*.f64 -250 x)))
(-.f64 (.f64 x 1000) (.f64 x 500))
(-.f64 (.f64 x 1000) (-.f64 (.f64 x 2000) (*.f64 x 1500)))
(-.f64 (.f64 x 1500) (.f64 x 1000))
(-.f64 (.f64 x 1250) (.f64 x 750))
(-.f64 (.f64 x -500) (.f64 x -1000))
(-.f64 (.f64 x 3000) (.f64 x 2500))
(-.f64 (/.f64 (.f64 x 1500) 4) (/.f64 (.f64 -250 x) 2))
(-.f64 (/.f64 (.f64 x 1500) 4) (neg.f64 (/.f64 (.f64 x 2000) 16)))
(-.f64 (/.f64 (.f64 -250 x) 2) (-.f64 0 (/.f64 (.f64 x 1250) 2)))
(-.f64 (/.f64 (.f64 -250 x) 2) (+.f64 (.f64 x -1000) (/.f64 (*.f64 x 1500) 4)))
(-.f64 (/.f64 (.f64 -250 x) 2) (+.f64 (/.f64 (.f64 x 2000) 16) (*.f64 x -750)))
(-.f64 (/.f64 (.f64 -250 x) 2) (neg.f64 (/.f64 (.f64 x 1250) 2)))
(-.f64 (/.f64 (.f64 -250 x) 2) (/.f64 (-.f64 0 (.f64 x 1250)) 2))
(-.f64 (/.f64 (.f64 x 2250) 2) (/.f64 (.f64 x 1250) 2))
(-.f64 (/.f64 (.f64 x 2250) 2) (-.f64 (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250)) (.f64 x 750)))
(-.f64 (/.f64 (.f64 x 1250) 2) (/.f64 (.f64 x 2000) 16))
(-.f64 (/.f64 (.f64 x 1250) 2) (-.f64 (.f64 x 500) (/.f64 (*.f64 x 1500) 4)))
(-.f64 (-.f64 0 (.f64 x 1250)) (-.f64 (.f64 -250 x) (*.f64 x 1500)))
(-.f64 (/.f64 (.f64 x 750) -2) (-.f64 0 (/.f64 (.f64 x 1750) 2)))
(-.f64 (/.f64 (.f64 x 750) -2) (+.f64 (.f64 x -1000) (/.f64 (*.f64 x 2000) 16)))
(-.f64 (/.f64 (.f64 x 750) -2) (+.f64 (.f64 -250 x) (-.f64 0 (/.f64 (*.f64 x 1250) 2))))
(-.f64 (/.f64 (.f64 x 750) -2) (+.f64 (-.f64 0 (/.f64 (.f64 x 1250) 2)) (*.f64 -250 x)))
(-.f64 (neg.f64 (.f64 x 1500)) (-.f64 (.f64 x -500) (*.f64 x 1500)))
(-.f64 (neg.f64 (.f64 x 1500)) (+.f64 (-.f64 0 (.f64 x 1250)) (*.f64 x -750)))
(-.f64 (/.f64 (.f64 x 2000) 16) (/.f64 (.f64 x 750) -2))
(-.f64 (-.f64 0 (/.f64 (.f64 x 1250) 2)) (-.f64 0 (/.f64 (.f64 x 2250) 2)))
(-.f64 (.f64 x 1750) (.f64 x 1250))
(-.f64 (/.f64 (.f64 x 1750) 2) (/.f64 (.f64 x 1500) 4))
(-.f64 (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250)) (/.f64 (*.f64 x 1750) 2))
(-.f64 (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250)) (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 -250 x)))
(-.f64 (.f64 x -1000) (neg.f64 (.f64 x 1500)))
(-.f64 (.f64 x -1000) (+.f64 (.f64 x -1000) (*.f64 x -500)))
(-.f64 (+.f64 (/.f64 (.f64 -250 x) 4) (/.f64 (.f64 -250 x) 2)) (-.f64 (.f64 x -750) (/.f64 (.f64 -250 x) 4)))
(-.f64 (+.f64 (/.f64 (.f64 x 750) 4) (/.f64 (.f64 x 1500) 4)) (-.f64 (.f64 x 250) (/.f64 (.f64 x 750) 4)))
(-.f64 (-.f64 (/.f64 (.f64 -250 x) 2) (.f64 x -1000)) (/.f64 (*.f64 x 1500) 4))
(-.f64 (-.f64 (/.f64 (.f64 x 1250) 2) (.f64 -250 x)) (/.f64 (*.f64 x 1500) 4))
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250)) (.f64 -250 x)) (/.f64 (.f64 x 2250) 2))
(-.f64 (-.f64 (.f64 x 750) (.f64 x 1500)) (-.f64 0 (*.f64 x 1250)))
(-.f64 (/.f64 (/.f64 (.f64 x 750) -2) -1) (/.f64 (.f64 -250 x) 2))
(-.f64 (/.f64 (.f64 x -750) -2) (/.f64 (.f64 -250 x) 2))
(-.f64 (+.f64 (/.f64 (.f64 x 2000) 16) (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250))) (.f64 x 1000))
(.f64 -250 (.f64 -2 x))
(*.f64 x 500)
(.f64 (.f64 -250 x) -2)
(.f64 (.f64 x 500) 1)
(.f64 1 (.f64 x 500))
(.f64 (.f64 x 250) 2)
(*.f64 500 x)
(.f64 -1 (.f64 x -500))
(.f64 2 (.f64 x 250))
(.f64 (.f64 x 1000) 1/2)
(*.f64 (+.f64 x x) 250)
(.f64 -2 (.f64 -250 x))
(.f64 1/2 (.f64 x 1000))
(.f64 1/2 (.f64 (*.f64 x -1000) -1))
(*.f64 250 (+.f64 x x))
(.f64 -125 (.f64 (*.f64 x 4) -1))
(.f64 (.f64 x -500) -1)
(*.f64 (neg.f64 x) -500)
(.f64 1000 (.f64 x 1/2))
(*.f64 -500 (neg.f64 x))
(.f64 (.f64 x 2000) 1/4)
(.f64 (.f64 x 4) 125)
(.f64 (.f64 -2 x) -250)
(.f64 1/4 (.f64 x 2000))
(.f64 -1/2 (.f64 x -1000))
(.f64 -1/4 (.f64 2 (*.f64 x -1000)))
(.f64 125 (.f64 x 4))
(.f64 (.f64 2 (*.f64 x 2000)) 1/8)
(.f64 (.f64 2 (*.f64 x -1000)) -1/4)
(.f64 (.f64 2 (*.f64 x 4)) 125/2)
(.f64 (.f64 x -1000) -1/2)
(/.f64 (*.f64 -250 x) -1/2)
(/.f64 (*.f64 x 500) 1)
(/.f64 (*.f64 x 250) 1/2)
(/.f64 (*.f64 x 1000) 2)
(/.f64 (*.f64 x -500) -1)
(/.f64 (*.f64 x 2000) 4)
(/.f64 (.f64 2 (.f64 x 2000)) 8)
(/.f64 (.f64 2 (.f64 x -1000)) -4)
(/.f64 (*.f64 x -1000) -2)
(/.f64 (/.f64 (.f64 2 (.f64 x -1000)) -1) 4)
(/.f64 (+.f64 (.f64 2 (.f64 x -1000)) (.f64 2 (.f64 x 2000))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 x -1000)) (.f64 2 (.f64 x 3000))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 x 3000)) (.f64 2 (.f64 x -1000))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 x 2000)) (.f64 2 (.f64 x 2000))) 16)
(/.f64 (-.f64 (.f64 2 (.f64 x 3000)) (.f64 2 (.f64 x 2000))) 4)
(pow.f64 (*.f64 x 500) 1)
(neg.f64 (*.f64 x -500))

Outputs
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(-.f64 (.f64 -250 x) (.f64 x -750))
(*.f64 500 x)
(-.f64 (.f64 -250 x) (-.f64 (.f64 x 750) (*.f64 x 1500)))
(*.f64 500 x)
(-.f64 (.f64 -250 x) (+.f64 (.f64 x -1000) (*.f64 x 250)))
(*.f64 500 x)
(-.f64 (.f64 -250 x) (-.f64 (-.f64 0 (/.f64 (.f64 x 1250) 2)) (/.f64 (*.f64 x 2000) 16)))
(*.f64 500 x)
(-.f64 (.f64 x 750) (.f64 x 250))
(*.f64 500 x)
(-.f64 (*.f64 x 500) 0)
(*.f64 500 x)
(-.f64 0 (*.f64 x -500))
(*.f64 500 x)
(-.f64 (.f64 x 250) (.f64 -250 x))
(*.f64 500 x)
(-.f64 (.f64 x 250) (-.f64 (.f64 x 1250) (*.f64 x 1500)))
(*.f64 500 x)
(-.f64 (.f64 x -750) (-.f64 0 (.f64 x 1250)))
(*.f64 500 x)
(-.f64 (.f64 x -750) (neg.f64 (.f64 x 1250)))
(*.f64 500 x)
(-.f64 (.f64 x -750) (-.f64 (neg.f64 (.f64 x 1500)) (*.f64 -250 x)))
(*.f64 500 x)
(-.f64 (.f64 x 1000) (.f64 x 500))
(*.f64 500 x)
(-.f64 (.f64 x 1000) (-.f64 (.f64 x 2000) (*.f64 x 1500)))
(*.f64 500 x)
(-.f64 (.f64 x 1500) (.f64 x 1000))
(*.f64 500 x)
(-.f64 (.f64 x 1250) (.f64 x 750))
(*.f64 500 x)
(-.f64 (.f64 x -500) (.f64 x -1000))
(*.f64 500 x)
(-.f64 (.f64 x 3000) (.f64 x 2500))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 1500) 4) (/.f64 (.f64 -250 x) 2))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 1500) 4) (neg.f64 (/.f64 (.f64 x 2000) 16)))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 -250 x) 2) (-.f64 0 (/.f64 (.f64 x 1250) 2)))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 -250 x) 2) (+.f64 (.f64 x -1000) (/.f64 (*.f64 x 1500) 4)))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 -250 x) 2) (+.f64 (/.f64 (.f64 x 2000) 16) (*.f64 x -750)))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 -250 x) 2) (neg.f64 (/.f64 (.f64 x 1250) 2)))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 -250 x) 2) (/.f64 (-.f64 0 (.f64 x 1250)) 2))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 2250) 2) (/.f64 (.f64 x 1250) 2))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 2250) 2) (-.f64 (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250)) (.f64 x 750)))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 1250) 2) (/.f64 (.f64 x 2000) 16))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 1250) 2) (-.f64 (.f64 x 500) (/.f64 (*.f64 x 1500) 4)))
(*.f64 500 x)
(-.f64 (-.f64 0 (.f64 x 1250)) (-.f64 (.f64 -250 x) (*.f64 x 1500)))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 750) -2) (-.f64 0 (/.f64 (.f64 x 1750) 2)))
(-.f64 (/.f64 (.f64 x 750) -2) (neg.f64 (/.f64 (.f64 x 1750) 2)))
(/.f64 (-.f64 (.f64 x 3500) (.f64 x 1500)) 4)
(/.f64 (-.f64 (.f64 x 1750) (.f64 x 750)) 2)
(-.f64 (/.f64 (.f64 x 750) -2) (+.f64 (.f64 x -1000) (/.f64 (*.f64 x 2000) 16)))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 750) -2) (+.f64 (.f64 -250 x) (-.f64 0 (/.f64 (*.f64 x 1250) 2))))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 750) -2) (+.f64 (-.f64 0 (/.f64 (.f64 x 1250) 2)) (*.f64 -250 x)))
(*.f64 500 x)
(-.f64 (neg.f64 (.f64 x 1500)) (-.f64 (.f64 x -500) (*.f64 x 1500)))
(*.f64 500 x)
(-.f64 (neg.f64 (.f64 x 1500)) (+.f64 (-.f64 0 (.f64 x 1250)) (*.f64 x -750)))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 2000) 16) (/.f64 (.f64 x 750) -2))
(*.f64 500 x)
(-.f64 (-.f64 0 (/.f64 (.f64 x 1250) 2)) (-.f64 0 (/.f64 (.f64 x 2250) 2)))
(*.f64 500 x)
(-.f64 (.f64 x 1750) (.f64 x 1250))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x 1750) 2) (/.f64 (.f64 x 1500) 4))
(-.f64 (/.f64 (.f64 x 750) -2) (neg.f64 (/.f64 (.f64 x 1750) 2)))
(/.f64 (-.f64 (.f64 x 3500) (.f64 x 1500)) 4)
(/.f64 (-.f64 (.f64 x 1750) (.f64 x 750)) 2)
(-.f64 (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250)) (/.f64 (*.f64 x 1750) 2))
(-.f64 (+.f64 (.f64 x 250) (/.f64 (.f64 x 2250) 2)) (/.f64 (*.f64 x 1750) 2))
(+.f64 (-.f64 (.f64 x 250) (/.f64 (.f64 x 1750) 2)) (/.f64 (*.f64 x 4500) 4))
(+.f64 (/.f64 (.f64 x 4500) 4) (-.f64 (.f64 x 250) (/.f64 (*.f64 x 1750) 2)))
(-.f64 (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250)) (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 -250 x)))
(*.f64 500 x)
(-.f64 (.f64 x -1000) (neg.f64 (.f64 x 1500)))
(*.f64 500 x)
(-.f64 (.f64 x -1000) (+.f64 (.f64 x -1000) (*.f64 x -500)))
(*.f64 500 x)
(-.f64 (+.f64 (/.f64 (.f64 -250 x) 4) (/.f64 (.f64 -250 x) 2)) (-.f64 (.f64 x -750) (/.f64 (.f64 -250 x) 4)))
(-.f64 (+.f64 (/.f64 (.f64 x -250) 2) (/.f64 (.f64 x -250) 4)) (-.f64 (.f64 x -750) (/.f64 (.f64 x -250) 4)))
(-.f64 (/.f64 (+.f64 (.f64 x -500) (.f64 x -250)) 4) (-.f64 (.f64 x -750) (/.f64 (.f64 x -1000) 16)))
(-.f64 (/.f64 (.f64 x -1000) 16) (-.f64 (.f64 x -750) (/.f64 (*.f64 x -750) 4)))
(-.f64 (/.f64 (.f64 x -1000) 16) (.f64 3 (/.f64 (*.f64 x -750) 4)))
(-.f64 (/.f64 (.f64 x -1000) 16) (.f64 (/.f64 (*.f64 x -750) 4) 3))
(-.f64 (+.f64 (/.f64 (.f64 x 750) 4) (/.f64 (.f64 x 1500) 4)) (-.f64 (.f64 x 250) (/.f64 (.f64 x 750) 4)))
(-.f64 (/.f64 (.f64 x 750) 4) (-.f64 (.f64 x 250) (/.f64 (+.f64 (.f64 x 750) (.f64 x 1500)) 4)))
(-.f64 (/.f64 (.f64 x 750) 4) (-.f64 (.f64 x 250) (/.f64 (*.f64 x 2250) 4)))
(-.f64 (/.f64 (.f64 x 2250) 4) (-.f64 (.f64 x 250) (/.f64 (*.f64 x -750) -4)))
(-.f64 (-.f64 (/.f64 (.f64 -250 x) 2) (.f64 x -1000)) (/.f64 (*.f64 x 1500) 4))
(*.f64 500 x)
(-.f64 (-.f64 (/.f64 (.f64 x 1250) 2) (.f64 -250 x)) (/.f64 (*.f64 x 1500) 4))
(*.f64 500 x)
(-.f64 (-.f64 (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250)) (.f64 -250 x)) (/.f64 (.f64 x 2250) 2))
(*.f64 500 x)
(-.f64 (-.f64 (.f64 x 750) (.f64 x 1500)) (-.f64 0 (*.f64 x 1250)))
(*.f64 500 x)
(-.f64 (/.f64 (/.f64 (.f64 x 750) -2) -1) (/.f64 (.f64 -250 x) 2))
(*.f64 500 x)
(-.f64 (/.f64 (.f64 x -750) -2) (/.f64 (.f64 -250 x) 2))
(*.f64 500 x)
(-.f64 (+.f64 (/.f64 (.f64 x 2000) 16) (+.f64 (/.f64 (.f64 x 2250) 2) (.f64 x 250))) (.f64 x 1000))
(*.f64 500 x)
(.f64 -250 (.f64 -2 x))
(*.f64 500 x)
(*.f64 x 500)
(*.f64 500 x)
(.f64 (.f64 -250 x) -2)
(*.f64 500 x)
(.f64 (.f64 x 500) 1)
(*.f64 500 x)
(.f64 1 (.f64 x 500))
(*.f64 500 x)
(.f64 (.f64 x 250) 2)
(*.f64 500 x)
(*.f64 500 x)
(.f64 -1 (.f64 x -500))
(*.f64 500 x)
(.f64 2 (.f64 x 250))
(*.f64 500 x)
(.f64 (.f64 x 1000) 1/2)
(*.f64 500 x)
(*.f64 (+.f64 x x) 250)
(*.f64 500 x)
(.f64 -2 (.f64 -250 x))
(*.f64 500 x)
(.f64 1/2 (.f64 x 1000))
(*.f64 500 x)
(.f64 1/2 (.f64 (*.f64 x -1000) -1))
(*.f64 500 x)
(*.f64 250 (+.f64 x x))
(*.f64 500 x)
(.f64 -125 (.f64 (*.f64 x 4) -1))
(*.f64 500 x)
(.f64 (.f64 x -500) -1)
(*.f64 500 x)
(*.f64 (neg.f64 x) -500)
(*.f64 500 x)
(.f64 1000 (.f64 x 1/2))
(*.f64 500 x)
(*.f64 -500 (neg.f64 x))
(*.f64 500 x)
(.f64 (.f64 x 2000) 1/4)
(*.f64 500 x)
(.f64 (.f64 x 4) 125)
(*.f64 500 x)
(.f64 (.f64 -2 x) -250)
(*.f64 500 x)
(.f64 1/4 (.f64 x 2000))
(*.f64 500 x)
(.f64 -1/2 (.f64 x -1000))
(*.f64 500 x)
(.f64 -1/4 (.f64 2 (*.f64 x -1000)))
(*.f64 500 x)
(.f64 125 (.f64 x 4))
(*.f64 500 x)
(.f64 (.f64 2 (*.f64 x 2000)) 1/8)
(*.f64 500 x)
(.f64 (.f64 2 (*.f64 x -1000)) -1/4)
(*.f64 500 x)
(.f64 (.f64 2 (*.f64 x 4)) 125/2)
(*.f64 500 x)
(.f64 (.f64 x -1000) -1/2)
(*.f64 500 x)
(/.f64 (*.f64 -250 x) -1/2)
(*.f64 500 x)
(/.f64 (*.f64 x 500) 1)
(*.f64 500 x)
(/.f64 (*.f64 x 250) 1/2)
(*.f64 500 x)
(/.f64 (*.f64 x 1000) 2)
(*.f64 500 x)
(/.f64 (*.f64 x -500) -1)
(*.f64 500 x)
(/.f64 (*.f64 x 2000) 4)
(*.f64 500 x)
(/.f64 (.f64 2 (.f64 x 2000)) 8)
(*.f64 500 x)
(/.f64 (.f64 2 (.f64 x -1000)) -4)
(*.f64 500 x)
(/.f64 (*.f64 x -1000) -2)
(*.f64 500 x)
(/.f64 (/.f64 (.f64 2 (.f64 x -1000)) -1) 4)
(*.f64 500 x)
(/.f64 (+.f64 (.f64 2 (.f64 x -1000)) (.f64 2 (.f64 x 2000))) 4)
(*.f64 500 x)
(/.f64 (+.f64 (.f64 2 (.f64 x -1000)) (.f64 2 (.f64 x 3000))) 8)
(*.f64 500 x)
(/.f64 (+.f64 (.f64 2 (.f64 x 3000)) (.f64 2 (.f64 x -1000))) 8)
(*.f64 500 x)
(/.f64 (+.f64 (.f64 2 (.f64 x 2000)) (.f64 2 (.f64 x 2000))) 16)
(*.f64 500 x)
(/.f64 (-.f64 (.f64 2 (.f64 x 3000)) (.f64 2 (.f64 x 2000))) 4)
(*.f64 500 x)
(pow.f64 (*.f64 x 500) 1)
(*.f64 500 x)
(neg.f64 (*.f64 x -500))
(*.f64 500 x)

eval109.0ms (0.7%)

Compiler: Compiled 1148 to 915 computations (20.3% saved)

prune255.0ms (1.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	115	6	121

Error

0.0b

Counts

121 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	33.1b	(+.f64 (.f64 -250 x) (.f64 750 x))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	32.8b	(*.f64 500 x)
✓	29.7b	(*.f64 -500 y)

Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes147.0ms (1%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 (-.f64 x y))
(+.f64 (.f64 -250 x) (.f64 750 x))
(+.f64 (.f64 500 x) (.f64 -500 y))
(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
(+.f64 (/.f64 (.f64 x -1500) -2) (-.f64 (.f64 (.f64 500 x) -1/2) (.f64 y 500)))

Outputs
(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))

Calls

4 calls:

52.0ms	y
46.0ms	(*.f64 500 (-.f64 x y))
22.0ms	(-.f64 x y)
10.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 500 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 69 to 49 computations (29% saved)

regimes81.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 (-.f64 x y))
(+.f64 (.f64 -250 x) (.f64 750 x))
(+.f64 (.f64 500 x) (.f64 -500 y))

Outputs
(*.f64 500 (-.f64 x y))

Calls

4 calls:

37.0ms	y
25.0ms	(-.f64 x y)
9.0ms	(*.f64 500 (-.f64 x y))
8.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 500 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes464.0ms (3.1%)

Accuracy

Total -50.3b remaining (-435.2%)

Threshold costs -50.3b (-435.2%)

Counts

2 → 5

Calls

Call 1

Inputs
(*.f64 -500 y)
(*.f64 500 x)

Outputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 -500 y)

Calls

2 calls:

385.0ms	x
78.0ms	y

Results

Error	Segments	Branch
14.3b	3	`x`
11.6b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch136.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
53.0ms	6.249821354902256e+159	2.848702019475946e+161
41.0ms	7.764856978668331e+118	1.741382254625936e+119
0.0ms	5.901319765552858e-28	6.089929954070093e-28
42.0ms	-3.885582333362005e-22	-1.0214678468939245e-23

Results

92.0ms	299×	body	256	valid
1.0ms	2×	body	2048	valid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 240 to 199 computations (17.1% saved)

simplify403.0ms (2.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	116

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
(*.f64 500 (-.f64 x y))
(if (<=.f64 y -3615500148534971/10633823966279326983230456482242756608) (.f64 -500 y) (if (<=.f64 y 6690223559559187/11150372599265311570767859136324180752990208) (.f64 500 x) (if (<=.f64 y 170000000000000006634646064013577064181038299739121814077042040622461226838614055646801786825219750064643102637582974976) (.f64 -500 y) (if (<=.f64 y 6399999999999999698389469033677504511836555698038917323461464815986300943309170372415724736218656689688787843935675674943037651940339340928680786414569116401664) (.f64 500 x) (*.f64 -500 y)))))
(*.f64 -500 y)

Outputs
(-.f64 (.f64 y -1000) (.f64 -500 (+.f64 y x)))
(*.f64 500 (-.f64 x y))
(if (<=.f64 y -3615500148534971/10633823966279326983230456482242756608) (.f64 -500 y) (if (<=.f64 y 6690223559559187/11150372599265311570767859136324180752990208) (.f64 500 x) (if (<=.f64 y 170000000000000006634646064013577064181038299739121814077042040622461226838614055646801786825219750064643102637582974976) (.f64 -500 y) (if (<=.f64 y 6399999999999999698389469033677504511836555698038917323461464815986300943309170372415724736218656689688787843935675674943037651940339340928680786414569116401664) (.f64 500 x) (*.f64 -500 y)))))
(*.f64 -500 y)

Compiler

Compiled 56 to 41 computations (26.8% saved)

soundness0.0ms (0%)

end159.0ms (1.1%)

Compiler: Compiled 50 to 35 computations (30% saved)

Details

analyze194.0ms (1.3%)

sample6.0s (39.7%)

preprocess88.0ms (0.6%)

simplify82.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize26.0ms (0.2%)

series3.0ms (0%)

rewrite908.0ms (6%)

simplify437.0ms (2.9%)

eval37.0ms (0.2%)

prune38.0ms (0.3%)

localize5.0ms (0%)

localize28.0ms (0.2%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite371.0ms (2.5%)

simplify367.0ms (2.4%)

eval189.0ms (1.3%)

prune107.0ms (0.7%)

localize92.0ms (0.6%)

series5.0ms (0%)

rewrite308.0ms (2%)

simplify539.0ms (3.6%)

localize34.0ms (0.2%)

series3.0ms (0%)

rewrite278.0ms (1.8%)

simplify531.0ms (3.5%)

eval840.0ms (5.6%)

prune218.0ms (1.4%)

localize29.0ms (0.2%)

series1.0ms (0%)

rewrite510.0ms (3.4%)

simplify1.1s (7%)

eval109.0ms (0.7%)

prune255.0ms (1.7%)

regimes147.0ms (1%)

regimes81.0ms (0.5%)

regimes464.0ms (3.1%)

bsearch136.0ms (0.9%)

simplify403.0ms (2.7%)

soundness0.0ms (0%)

end159.0ms (1.1%)

Profiling