Details

analyze328.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.2%	25%	74.1%	0.1%	0.8%	0%	0%	9
36.6%	35.9%	62.2%	0.1%	1.8%	0%	0%	10
43.2%	42.1%	55.5%	0.1%	2.2%	0%	0%	11
50.4%	48%	47.2%	0.1%	4.7%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample2.1s (20.6%)

Results

1.8s	8256×	body	256	valid
306.0ms	1687×	body	256	infinite

Bogosity

preprocess57.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1174×	`rational.json-simplify-2`
1154×	`rational.json-simplify-53`
1000×	`rational.json-simplify-19`
866×	`rational.json-simplify-41`
804×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	140
1	71	140
2	145	140
3	512	140
4	4444	140
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 y) x) (*.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 z) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
(fabs.f64 (-.f64 (*.f64 y (/.f64 x z)) (/.f64 (+.f64 x 4) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 y (/.f64 x z))))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`rational.json-simplify-35`
1546×	`rational.json-simplify-51`
1400×	`rational.json-simplify-43`
1076×	`rational.json-simplify-39`
548×	`rational.json-simplify-57`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	25	35
2	46	35
3	147	35
4	1167	35
5	4179	35

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

eval0.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% 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

1.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.8b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 4) y)
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓	3.2b	(*.f64 (/.f64 x y) z)

Compiler

Compiled 46 to 20 computations (56.5% saved)

series9.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms	y	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms	z	@	0	(*.f64 (/.f64 x y) z)
1.0ms	x	@	0	(*.f64 (/.f64 x y) z)
1.0ms	y	@	inf	(*.f64 (/.f64 x y) z)

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational.json-1`
1544×	`rational.json-2`
1544×	`rational.json-4`
1544×	`rational.json-3`
1530×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	75	57
2	185	57
3	488	57
4	1365	57
5	4327	57

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) z)
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
(/.f64 (+.f64 x 4) y)

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

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

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

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

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1824×	`rational.json-simplify-35`
1164×	`rational.json-simplify-49`
974×	`rational.json-simplify-41`
866×	`rational.json-simplify-2`
704×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	300	4728
1	884	4590
2	2325	4512
3	5747	4504

Stop Event

1×	node limit

Counts

224 → 172

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(.f64 (+.f64 (/.f64 1 y) (.f64 -1 (/.f64 z y))) x)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 4 x)) (.f64 -1 (.f64 z x))) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 x (/.f64 z y)) 0)
(+.f64 0 (*.f64 x (/.f64 z y)))
(+.f64 (/.f64 (.f64 x (/.f64 z y)) 2) (/.f64 (.f64 x (/.f64 z y)) 2))
(-.f64 (*.f64 x (/.f64 z y)) 0)
(/.f64 x (/.f64 y z))
(/.f64 x (-.f64 0 (/.f64 y (neg.f64 z))))
(/.f64 (/.f64 x y) (/.f64 1 z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 x (/.f64 z y)) 1)
(/.f64 4 (*.f64 2 (/.f64 (/.f64 y x) (/.f64 z 2))))
(/.f64 1 (/.f64 (/.f64 y x) z))
(/.f64 (+.f64 x x) (/.f64 y (/.f64 z 2)))
(/.f64 (+.f64 x x) (*.f64 2 (/.f64 y z)))
(/.f64 2 (/.f64 (/.f64 y x) (/.f64 z 2)))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 y x) z)))
(/.f64 (*.f64 (/.f64 x y) 2) (/.f64 2 z))
(/.f64 (.f64 (/.f64 x y) 2) (.f64 2 (/.f64 1 z)))
(/.f64 (.f64 x 4) (.f64 2 (/.f64 y (/.f64 z 2))))
(/.f64 (+.f64 z z) (*.f64 y (/.f64 2 x)))
(/.f64 (*.f64 (/.f64 x y) (+.f64 z z)) 2)
(/.f64 (neg.f64 x) (/.f64 y (neg.f64 z)))
(/.f64 (neg.f64 x) (-.f64 0 (/.f64 y z)))
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 y x) z)))
(/.f64 (.f64 (/.f64 x y) (.f64 z 4)) 4)
(/.f64 (.f64 z 4) (.f64 2 (*.f64 y (/.f64 2 x))))
(/.f64 (.f64 z 4) (.f64 4 (/.f64 y x)))
(/.f64 (.f64 (/.f64 x y) 4) (.f64 2 (/.f64 2 z)))
(/.f64 (/.f64 z y) (/.f64 1 x))
(/.f64 (.f64 x -2) (.f64 2 (/.f64 y (neg.f64 z))))
(/.f64 (*.f64 x -2) (-.f64 0 (/.f64 y (/.f64 z 2))))
(/.f64 (.f64 2 (.f64 (/.f64 x y) (*.f64 z 4))) 8)
(/.f64 -2 (-.f64 0 (/.f64 (/.f64 y x) (/.f64 z 2))))
(/.f64 (.f64 2 (.f64 z 4)) (.f64 2 (.f64 4 (/.f64 y x))))
(/.f64 (*.f64 z (/.f64 1/2 y)) (/.f64 1/2 x))
(/.f64 (.f64 2 (/.f64 z y)) (.f64 2 (/.f64 1 x)))
(/.f64 (/.f64 (*.f64 z 4) (/.f64 y x)) 4)
(/.f64 (neg.f64 (/.f64 x y)) (-.f64 0 (/.f64 1 z)))
(/.f64 (/.f64 z 2) (/.f64 y (+.f64 x x)))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 y x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 x y) (.f64 z 4)))) 16)
(/.f64 (.f64 2 (/.f64 (.f64 z 4) (/.f64 y x))) 8)
(/.f64 (.f64 2 (neg.f64 z)) (.f64 2 (neg.f64 (/.f64 y x))))
(/.f64 (/.f64 (neg.f64 z) y) (/.f64 -1 x))
(/.f64 (/.f64 z 1/2) (*.f64 y (/.f64 2 x)))
(/.f64 (/.f64 z (/.f64 1 x)) y)
(/.f64 (/.f64 (+.f64 z z) y) (/.f64 2 x))
(/.f64 (neg.f64 (+.f64 z z)) (neg.f64 (*.f64 y (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 z y)) (/.f64 -1 x))
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 y x))
(/.f64 (neg.f64 (neg.f64 z)) (-.f64 0 (neg.f64 (/.f64 y x))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) 2)) (-.f64 0 (/.f64 2 z)))
(/.f64 (neg.f64 (.f64 z 4)) (-.f64 0 (.f64 2 (*.f64 y (/.f64 2 x)))))
(/.f64 (neg.f64 (.f64 z 4)) (-.f64 0 (.f64 4 (/.f64 y x))))
(/.f64 (neg.f64 (*.f64 z (/.f64 1/2 y))) (neg.f64 (/.f64 1/2 x)))
(/.f64 (neg.f64 (/.f64 z 2)) (-.f64 0 (/.f64 y (+.f64 x x))))
(/.f64 (neg.f64 (/.f64 (neg.f64 z) y)) (-.f64 0 (/.f64 -1 x)))
(/.f64 (neg.f64 (/.f64 z 1/2)) (neg.f64 (*.f64 y (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 z (/.f64 1 x))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (+.f64 z z) y)) (-.f64 0 (/.f64 2 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 z z))) (*.f64 y (/.f64 2 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 z y))) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (/.f64 y x)))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(+.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (*.f64 x (/.f64 z y))))
(+.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 0)
(+.f64 0 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
(+.f64 -1 (-.f64 (-.f64 (/.f64 (+.f64 x 4) y) -1) (*.f64 x (/.f64 z y))))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(+.f64 (-.f64 (-.f64 (/.f64 (+.f64 x 4) y) -1) (*.f64 x (/.f64 z y))) -1)
(+.f64 (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2))
(+.f64 (-.f64 -1 (*.f64 x (/.f64 z y))) (-.f64 1 (/.f64 (+.f64 x 4) (neg.f64 y))))
(.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 1)
(.f64 1 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))))
(.f64 2 (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2))
(.f64 2 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 2) 1))
(.f64 (.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 2) 1/2)
(.f64 (-.f64 (.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y)) -1)
(.f64 -1 (-.f64 (.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y)))
(.f64 1/2 (.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 2))
(.f64 1/2 (-.f64 (.f64 (+.f64 x 4) (/.f64 2 y)) (*.f64 (/.f64 x y) (+.f64 z z))))
(.f64 (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 1)
(/.f64 (.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2) 2)
(/.f64 (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y)) -1)
(/.f64 (.f64 4 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y)))) 4)
(/.f64 (.f64 2 (-.f64 (.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y))) -2)
(/.f64 (.f64 2 (.f64 4 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y)))))) 16)
(pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 1)
(neg.f64 (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y)))
(+.f64 (/.f64 (+.f64 x 4) y) 0)
(+.f64 0 (/.f64 (+.f64 x 4) y))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 x 4) (neg.f64 y))))
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(-.f64 (/.f64 (+.f64 x 4) y) 0)
(-.f64 0 (/.f64 (+.f64 x 4) (neg.f64 y)))
(*.f64 (+.f64 x 4) (/.f64 1 y))
(.f64 (+.f64 x 4) (.f64 (*.f64 2 (/.f64 1 y)) 1/2))
(.f64 (+.f64 x 4) (.f64 (/.f64 2 y) 1/2))
(*.f64 (/.f64 (+.f64 x 4) y) 1)
(*.f64 1 (/.f64 (+.f64 x 4) y))
(*.f64 (+.f64 x (+.f64 x 8)) (/.f64 1/2 y))
(.f64 (+.f64 x (+.f64 x 8)) (.f64 (/.f64 1 y) 1/2))
(.f64 (+.f64 x (+.f64 x 8)) (.f64 (*.f64 (/.f64 1 y) 1/2) 1))
(*.f64 2 (/.f64 (+.f64 x 4) (+.f64 y y)))
(.f64 2 (.f64 (/.f64 (+.f64 x 4) (+.f64 y y)) 1))
(.f64 2 (.f64 (/.f64 (+.f64 x 4) 2) (/.f64 1 y)))
(.f64 2 (.f64 (/.f64 (+.f64 x 4) y) 1/2))
(.f64 2 (.f64 (+.f64 x 4) (/.f64 1/2 y)))
(.f64 2 (.f64 (/.f64 1/2 y) (+.f64 x 4)))
(.f64 (.f64 (+.f64 x 4) (/.f64 2 y)) 1/2)
(.f64 (.f64 4 (+.f64 x 4)) (/.f64 1 (*.f64 y 4)))
(.f64 (.f64 4 (+.f64 x 4)) (.f64 (/.f64 1 (.f64 y 4)) 1))
(.f64 (.f64 4 (+.f64 x 4)) (*.f64 1/4 (/.f64 1 y)))
(.f64 (.f64 4 (+.f64 x 4)) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 (/.f64 1 y) (+.f64 x 4))
(*.f64 (neg.f64 (+.f64 x 4)) (/.f64 -1 y))
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(*.f64 -1 (/.f64 (+.f64 x 4) (neg.f64 y)))
(.f64 1/2 (.f64 (+.f64 x 4) (/.f64 2 y)))
(*.f64 (/.f64 1/2 y) (+.f64 x (+.f64 x 8)))
(.f64 (.f64 (/.f64 1 y) 1/2) (+.f64 x (+.f64 x 8)))
(*.f64 (/.f64 (+.f64 x 4) (neg.f64 y)) -1)
(*.f64 (/.f64 (+.f64 x 4) (+.f64 y y)) 2)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 4 (+.f64 x 4)))
(*.f64 (/.f64 -1 y) (neg.f64 (+.f64 x 4)))
(pow.f64 (/.f64 (+.f64 x 4) y) 1)
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Outputs
(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(+.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 x (/.f64 z y))
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(*.f64 x (/.f64 z y))
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(*.f64 x (/.f64 z y))
(-.f64 (*.f64 x (/.f64 z y)) 0)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(/.f64 x (-.f64 0 (/.f64 y (neg.f64 z))))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 x y) (/.f64 1 z))
(*.f64 x (/.f64 z y))
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 x (/.f64 z y))
(/.f64 4 (*.f64 2 (/.f64 (/.f64 y x) (/.f64 z 2))))
(*.f64 x (/.f64 z y))
(/.f64 1 (/.f64 (/.f64 y x) z))
(*.f64 x (/.f64 z y))
(/.f64 (+.f64 x x) (/.f64 y (/.f64 z 2)))
(*.f64 x (/.f64 z y))
(/.f64 (+.f64 x x) (*.f64 2 (/.f64 y z)))
(*.f64 x (/.f64 z y))
(/.f64 2 (/.f64 (/.f64 y x) (/.f64 z 2)))
(*.f64 x (/.f64 z y))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 y x) z)))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 (/.f64 x y) 2) (/.f64 2 z))
(*.f64 x (/.f64 z y))
(/.f64 (.f64 (/.f64 x y) 2) (.f64 2 (/.f64 1 z)))
(*.f64 x (/.f64 z y))
(/.f64 (.f64 x 4) (.f64 2 (/.f64 y (/.f64 z 2))))
(*.f64 x (/.f64 z y))
(/.f64 (+.f64 z z) (*.f64 y (/.f64 2 x)))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 (/.f64 x y) (+.f64 z z)) 2)
(*.f64 x (/.f64 z y))
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(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 x) (-.f64 0 (/.f64 y z)))
(*.f64 x (/.f64 z y))
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 y x) z)))
(*.f64 x (/.f64 z y))
(/.f64 (.f64 (/.f64 x y) (.f64 z 4)) 4)
(*.f64 x (/.f64 z y))
(/.f64 (.f64 z 4) (.f64 2 (*.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 z y))
(/.f64 (.f64 z 4) (.f64 4 (/.f64 y x)))
(*.f64 x (/.f64 z y))
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(*.f64 x (/.f64 z y))
(/.f64 (/.f64 z y) (/.f64 1 x))
(*.f64 x (/.f64 z y))
(/.f64 (.f64 x -2) (.f64 2 (/.f64 y (neg.f64 z))))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x -2) (-.f64 0 (/.f64 y (/.f64 z 2))))
(*.f64 x (/.f64 z y))
(/.f64 (.f64 2 (.f64 (/.f64 x y) (*.f64 z 4))) 8)
(*.f64 x (/.f64 z y))
(/.f64 -2 (-.f64 0 (/.f64 (/.f64 y x) (/.f64 z 2))))
(*.f64 x (/.f64 z y))
(/.f64 (.f64 2 (.f64 z 4)) (.f64 2 (.f64 4 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z (/.f64 1/2 y)) (/.f64 1/2 x))
(*.f64 x (/.f64 z y))
(/.f64 (.f64 2 (/.f64 z y)) (.f64 2 (/.f64 1 x)))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (*.f64 z 4) (/.f64 y x)) 4)
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (/.f64 x y)) (-.f64 0 (/.f64 1 z)))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 z 2) (/.f64 y (+.f64 x x)))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 y x)))
(*.f64 x (/.f64 z y))
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 x y) (.f64 z 4)))) 16)
(*.f64 x (/.f64 z y))
(/.f64 (.f64 2 (/.f64 (.f64 z 4) (/.f64 y x))) 8)
(*.f64 x (/.f64 z y))
(/.f64 (.f64 2 (neg.f64 z)) (.f64 2 (neg.f64 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (neg.f64 z) y) (/.f64 -1 x))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 z 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 z (/.f64 1 x)) y)
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (+.f64 z z) y) (/.f64 2 x))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (+.f64 z z)) (neg.f64 (*.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (/.f64 z y)) (/.f64 -1 x))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 y x))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (neg.f64 z)) (-.f64 0 (neg.f64 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) 2)) (-.f64 0 (/.f64 2 z)))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (.f64 z 4)) (-.f64 0 (.f64 2 (*.f64 y (/.f64 2 x)))))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (.f64 z 4)) (-.f64 0 (.f64 4 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (*.f64 z (/.f64 1/2 y))) (neg.f64 (/.f64 1/2 x)))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (/.f64 z 2)) (-.f64 0 (/.f64 y (+.f64 x x))))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (/.f64 (neg.f64 z) y)) (-.f64 0 (/.f64 -1 x)))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (/.f64 z 1/2)) (neg.f64 (*.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (/.f64 z (/.f64 1 x))) (neg.f64 y))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (/.f64 (+.f64 z z) y)) (-.f64 0 (/.f64 2 x)))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (neg.f64 (+.f64 z z))) (*.f64 y (/.f64 2 x)))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (neg.f64 (/.f64 z y))) (/.f64 1 x))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (/.f64 y x)))
(*.f64 x (/.f64 z y))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (*.f64 x (/.f64 z y))))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(+.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 0)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(+.f64 0 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(+.f64 -1 (-.f64 (-.f64 (/.f64 (+.f64 x 4) y) -1) (*.f64 x (/.f64 z y))))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(+.f64 (-.f64 (-.f64 (/.f64 (+.f64 x 4) y) -1) (*.f64 x (/.f64 z y))) -1)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(+.f64 (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(+.f64 (-.f64 -1 (*.f64 x (/.f64 z y))) (-.f64 1 (/.f64 (+.f64 x 4) (neg.f64 y))))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(.f64 1 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(.f64 2 (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(.f64 2 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 2) 1))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(.f64 (.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 2) 1/2)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(.f64 (-.f64 (.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y)) -1)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(.f64 -1 (-.f64 (.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y)))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(.f64 1/2 (.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 2))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(.f64 1/2 (-.f64 (.f64 (+.f64 x 4) (/.f64 2 y)) (*.f64 (/.f64 x y) (+.f64 z z))))
(.f64 1/2 (-.f64 (.f64 (+.f64 x 4) (/.f64 2 y)) (.f64 x (.f64 (/.f64 z y) 2))))
(.f64 (/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2) 2)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(/.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(/.f64 (.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y))) 2) 2)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(/.f64 (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y)) -1)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(/.f64 (.f64 4 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y)))) 4)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(/.f64 (.f64 2 (-.f64 (.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y))) -2)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(/.f64 (.f64 2 (.f64 4 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))) 8)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 x (/.f64 z y)))))) 16)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(pow.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(neg.f64 (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 x 4) y)))
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (/.f64 (+.f64 x 4) y))
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
(+.f64 (/.f64 (+.f64 x 4) y) 0)
(/.f64 (+.f64 x 4) y)
(+.f64 0 (/.f64 (+.f64 x 4) y))
(/.f64 (+.f64 x 4) y)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 x 4) (neg.f64 y))))
(/.f64 (+.f64 x 4) y)
(+.f64 (/.f64 (+.f64 x 4) (+.f64 y y)) (/.f64 (+.f64 x 4) (+.f64 y y)))
(*.f64 2 (/.f64 (+.f64 x 4) (+.f64 y y)))
(-.f64 (/.f64 (+.f64 x 4) y) 0)
(/.f64 (+.f64 x 4) y)
(-.f64 0 (/.f64 (+.f64 x 4) (neg.f64 y)))
(/.f64 (+.f64 x 4) y)
(*.f64 (+.f64 x 4) (/.f64 1 y))
(/.f64 (+.f64 x 4) y)
(.f64 (+.f64 x 4) (.f64 (*.f64 2 (/.f64 1 y)) 1/2))
(/.f64 (+.f64 x 4) y)
(.f64 (+.f64 x 4) (.f64 (/.f64 2 y) 1/2))
(.f64 1/2 (.f64 (+.f64 x 4) (/.f64 2 y)))
(.f64 (+.f64 x 4) (.f64 1/2 (/.f64 2 y)))
(*.f64 (/.f64 (+.f64 x 4) y) 1)
(/.f64 (+.f64 x 4) y)
(*.f64 1 (/.f64 (+.f64 x 4) y))
(/.f64 (+.f64 x 4) y)
(*.f64 (+.f64 x (+.f64 x 8)) (/.f64 1/2 y))
(*.f64 (/.f64 1/2 y) (+.f64 x (+.f64 x 8)))
(.f64 2 (.f64 (/.f64 1/2 y) (+.f64 x 4)))
(.f64 (+.f64 x (+.f64 x 8)) (.f64 (/.f64 1 y) 1/2))
(/.f64 (+.f64 x 4) y)
(.f64 (+.f64 x (+.f64 x 8)) (.f64 (*.f64 (/.f64 1 y) 1/2) 1))
(/.f64 (+.f64 x 4) y)
(*.f64 2 (/.f64 (+.f64 x 4) (+.f64 y y)))
(+.f64 (/.f64 (+.f64 x 4) (+.f64 y y)) (/.f64 (+.f64 x 4) (+.f64 y y)))
(.f64 2 (.f64 (/.f64 (+.f64 x 4) (+.f64 y y)) 1))
(+.f64 (/.f64 (+.f64 x 4) (+.f64 y y)) (/.f64 (+.f64 x 4) (+.f64 y y)))
(*.f64 2 (/.f64 (+.f64 x 4) (+.f64 y y)))
(.f64 2 (.f64 (/.f64 (+.f64 x 4) 2) (/.f64 1 y)))
(.f64 (/.f64 (+.f64 x 4) 2) (.f64 (/.f64 1 y) 2))
(.f64 (/.f64 1 y) (.f64 2 (/.f64 (+.f64 x 4) 2)))
(*.f64 2 (/.f64 (/.f64 (+.f64 x 4) 2) y))
(.f64 2 (.f64 (/.f64 (+.f64 x 4) y) 1/2))
(/.f64 (+.f64 x 4) y)
(.f64 2 (.f64 (+.f64 x 4) (/.f64 1/2 y)))
(*.f64 (/.f64 1/2 y) (+.f64 x (+.f64 x 8)))
(.f64 2 (.f64 (/.f64 1/2 y) (+.f64 x 4)))
(.f64 2 (.f64 (/.f64 1/2 y) (+.f64 x 4)))
(*.f64 (/.f64 1/2 y) (+.f64 x (+.f64 x 8)))
(.f64 (.f64 (+.f64 x 4) (/.f64 2 y)) 1/2)
(.f64 1/2 (.f64 (+.f64 x 4) (/.f64 2 y)))
(.f64 (+.f64 x 4) (.f64 1/2 (/.f64 2 y)))
(.f64 (.f64 4 (+.f64 x 4)) (/.f64 1 (*.f64 y 4)))
(.f64 4 (.f64 (+.f64 x 4) (/.f64 1 (*.f64 y 4))))
(.f64 4 (.f64 (+.f64 x 4) (/.f64 1/4 y)))
(.f64 (.f64 4 (+.f64 x 4)) (.f64 (/.f64 1 (.f64 y 4)) 1))
(.f64 4 (.f64 (+.f64 x 4) (/.f64 1 (*.f64 y 4))))
(.f64 4 (.f64 (+.f64 x 4) (/.f64 1/4 y)))
(.f64 (.f64 4 (+.f64 x 4)) (*.f64 1/4 (/.f64 1 y)))
(/.f64 (+.f64 x 4) y)
(.f64 (.f64 4 (+.f64 x 4)) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 (/.f64 1/2 y) (+.f64 x (+.f64 x 8)))
(.f64 2 (.f64 (/.f64 1/2 y) (+.f64 x 4)))
(*.f64 (/.f64 1 y) (+.f64 x 4))
(/.f64 (+.f64 x 4) y)
(*.f64 (neg.f64 (+.f64 x 4)) (/.f64 -1 y))
(/.f64 (+.f64 x 4) y)
(.f64 (neg.f64 (+.f64 x 4)) (.f64 (/.f64 -1 y) 1))
(/.f64 (+.f64 x 4) y)
(*.f64 -1 (/.f64 (+.f64 x 4) (neg.f64 y)))
(/.f64 (+.f64 x 4) y)
(.f64 1/2 (.f64 (+.f64 x 4) (/.f64 2 y)))
(.f64 (+.f64 x 4) (.f64 1/2 (/.f64 2 y)))
(*.f64 (/.f64 1/2 y) (+.f64 x (+.f64 x 8)))
(.f64 2 (.f64 (/.f64 1/2 y) (+.f64 x 4)))
(.f64 (.f64 (/.f64 1 y) 1/2) (+.f64 x (+.f64 x 8)))
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (+.f64 x 4) (neg.f64 y)) -1)
(/.f64 (+.f64 x 4) y)
(*.f64 (/.f64 (+.f64 x 4) (+.f64 y y)) 2)
(+.f64 (/.f64 (+.f64 x 4) (+.f64 y y)) (/.f64 (+.f64 x 4) (+.f64 y y)))
(*.f64 2 (/.f64 (+.f64 x 4) (+.f64 y y)))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 4 (+.f64 x 4)))
(.f64 4 (.f64 (+.f64 x 4) (/.f64 1 (*.f64 y 4))))
(.f64 4 (.f64 (+.f64 x 4) (/.f64 1/4 y)))
(*.f64 (/.f64 -1 y) (neg.f64 (+.f64 x 4)))
(/.f64 (+.f64 x 4) y)
(pow.f64 (/.f64 (+.f64 x 4) y) 1)
(/.f64 (+.f64 x 4) y)
(neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y)))
(/.f64 (+.f64 x 4) y)

eval47.0ms (0.5%)

Compiler: Compiled 2671 to 1511 computations (43.4% saved)

prune37.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	165	7	172
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	8	173

Error

0.0b

Counts

173 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	4.3b	(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
▶	31.9b	(fabs.f64 (/.f64 4 y))
▶	4.1b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
✓	1.8b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	31.6b	(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
▶	18.2b	(fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)))
▶	45.5b	(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
▶	48.4b	(fabs.f64 (.f64 -1 (/.f64 (.f64 z x) y)))

Compiler

Compiled 179 to 124 computations (30.7% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x 4) y)
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
✓	7.1b	(/.f64 x (/.f64 y z))

Compiler

Compiled 46 to 20 computations (56.5% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x (/.f64 y z))
0.0ms	z	@	inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
0.0ms	x	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
0.0ms	z	@	-inf	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
0.0ms	z	@	0	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2064×	`rational.json-1`
2064×	`rational.json-2`
1816×	`rational.json-simplify-35`
998×	`exponential.json-3`
998×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	79	44
2	234	44
3	762	44
4	2696	44
5	7351	44

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 x (/.f64 y z))
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))

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

Outputs

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

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

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational.json-simplify-35`
1256×	`rational.json-simplify-2`
816×	`rational.json-simplify-42`
666×	`rational.json-simplify-55`
644×	`rational.json-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	166	3331
1	348	3287
2	765	3287
3	2319	3279
4	5232	3187
5	7114	3171

Stop Event

1×	node limit

Counts

143 → 116

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(.f64 (+.f64 (/.f64 1 y) (.f64 -1 (/.f64 z y))) x)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
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Outputs
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(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))

localize8.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(*.f64 x (/.f64 (neg.f64 z) y))

Compiler

Compiled 25 to 7 computations (72% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`rational.json-1`
1368×	`rational.json-2`
1368×	`rational.json-4`
1368×	`rational.json-3`
1356×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	64	17
2	168	17
3	448	17
4	1384	17
5	4145	17

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

Inputs
(*.f64 x (/.f64 (neg.f64 z) y))

Outputs

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

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1718×	`rational.json-simplify-51`
1184×	`rational.json-simplify-49`
1070×	`rational.json-simplify-1`
816×	`rational.json-simplify-46`
704×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	192	2121
1	718	1903
2	2099	1903
3	4453	1903
4	7237	1903

Stop Event

1×	node limit

Counts

111 → 81

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (/.f64 x (neg.f64 (/.f64 y z))) 0)
(+.f64 0 (/.f64 x (neg.f64 (/.f64 y z))))
(+.f64 -1 (-.f64 1 (/.f64 x (/.f64 y z))))
(+.f64 (/.f64 (/.f64 x (neg.f64 (/.f64 y z))) 2) (/.f64 (/.f64 x (neg.f64 (/.f64 y z))) 2))
(-.f64 (/.f64 x (neg.f64 (/.f64 y z))) 0)
(-.f64 0 (/.f64 x (/.f64 y z)))
(/.f64 x (neg.f64 (/.f64 y z)))
(/.f64 z (/.f64 y (neg.f64 x)))
(/.f64 z (-.f64 0 (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (neg.f64 z) (-.f64 0 (/.f64 y (neg.f64 x))))
(/.f64 (/.f64 z (neg.f64 y)) (/.f64 1 x))
(/.f64 (/.f64 z (neg.f64 y)) (-.f64 0 (/.f64 -1 x)))
(/.f64 (/.f64 x (neg.f64 (/.f64 y z))) 1)
(/.f64 1 (/.f64 (neg.f64 (/.f64 y z)) x))
(/.f64 1 (-.f64 0 (/.f64 (/.f64 y z) x)))
(/.f64 -1 (/.f64 (/.f64 y z) x))
(/.f64 -1 (-.f64 0 (/.f64 (neg.f64 (/.f64 y z)) x)))
(/.f64 (*.f64 z -2) (/.f64 y (/.f64 x 2)))
(/.f64 (.f64 z -2) (.f64 2 (/.f64 y x)))
(/.f64 2 (/.f64 (*.f64 y (/.f64 -2 z)) x))
(/.f64 2 (*.f64 2 (/.f64 (neg.f64 (/.f64 y z)) x)))
(/.f64 (*.f64 z (/.f64 -2 y)) (/.f64 2 x))
(/.f64 (.f64 z (/.f64 -2 y)) (.f64 2 (/.f64 1 x)))
(/.f64 (*.f64 z (/.f64 -2 y)) (-.f64 0 (/.f64 -2 x)))
(/.f64 (.f64 z -4) (.f64 2 (/.f64 y (/.f64 x 2))))
(/.f64 (+.f64 z z) (*.f64 2 (/.f64 y (neg.f64 x))))
(/.f64 (+.f64 z z) (-.f64 0 (/.f64 y (/.f64 x 2))))
(/.f64 (.f64 x (.f64 z (/.f64 -2 y))) 2)
(/.f64 -2 (*.f64 2 (/.f64 (/.f64 y z) x)))
(/.f64 -2 (-.f64 0 (/.f64 (*.f64 y (/.f64 -2 z)) x)))
(/.f64 (+.f64 x x) (*.f64 y (/.f64 -2 z)))
(/.f64 (/.f64 z y) (/.f64 -1 x))
(/.f64 (/.f64 z y) (-.f64 0 (/.f64 1 x)))
(/.f64 4 (.f64 2 (/.f64 (.f64 y (/.f64 -2 z)) x)))
(/.f64 (.f64 x (.f64 (/.f64 z y) -4)) 4)
(/.f64 (.f64 x 4) (.f64 2 (*.f64 y (/.f64 -2 z))))
(/.f64 (.f64 x 4) (.f64 (neg.f64 (/.f64 y z)) 4))
(/.f64 (.f64 (/.f64 z y) -4) (.f64 2 (/.f64 2 x)))
(/.f64 (/.f64 x y) (/.f64 -1 z))
(/.f64 (/.f64 x (/.f64 y z)) -1)
(/.f64 (/.f64 2 (/.f64 y z)) (/.f64 -2 x))
(/.f64 (/.f64 2 (/.f64 y z)) (*.f64 2 (/.f64 -1 x)))
(/.f64 (/.f64 2 (/.f64 y z)) (-.f64 0 (/.f64 2 x)))
(/.f64 (.f64 2 (/.f64 2 (/.f64 y z))) (.f64 2 (/.f64 -2 x)))
(/.f64 (.f64 2 (.f64 x (*.f64 (/.f64 z y) -4))) 8)
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 (neg.f64 (/.f64 y z)) 4)))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 1 z))
(/.f64 (*.f64 x (/.f64 1/2 y)) (/.f64 -1/2 z))
(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (.f64 2 (/.f64 x y)) (.f64 2 (/.f64 -1 z)))
(/.f64 (/.f64 (*.f64 x 4) (neg.f64 (/.f64 y z))) 4)
(/.f64 (/.f64 x 2) (/.f64 y (*.f64 z -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 x (.f64 (/.f64 z y) -4)))) 16)
(/.f64 (.f64 2 (/.f64 (.f64 x 4) (neg.f64 (/.f64 y z)))) 8)
(/.f64 (*.f64 2 (neg.f64 x)) (/.f64 y (/.f64 z 2)))
(/.f64 (neg.f64 (/.f64 x 2)) (-.f64 0 (/.f64 y (*.f64 z -2))))
(/.f64 (/.f64 x 1/2) (*.f64 y (/.f64 -2 z)))
(/.f64 (/.f64 x (/.f64 -1 z)) y)
(/.f64 (/.f64 (+.f64 x x) y) (/.f64 -2 z))
(/.f64 (neg.f64 (+.f64 x x)) (/.f64 y (/.f64 z 2)))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 1 z))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 y z)))
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (.f64 2 (*.f64 y (/.f64 -2 z)))))
(/.f64 (neg.f64 (.f64 x 4)) (-.f64 0 (.f64 (neg.f64 (/.f64 y z)) 4)))
(/.f64 (neg.f64 (/.f64 x 1/2)) (/.f64 y (/.f64 z 2)))
(/.f64 (neg.f64 (/.f64 x (neg.f64 y))) (/.f64 -1 z))
(/.f64 (neg.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (/.f64 -1/2 z)))
(/.f64 (neg.f64 (/.f64 x (/.f64 -1 z))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) y)) (-.f64 0 (/.f64 -2 z)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (*.f64 y (/.f64 -2 z)))
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) (/.f64 -1 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 y z))
(pow.f64 (/.f64 x (neg.f64 (/.f64 y z))) 1)
(neg.f64 (/.f64 x (/.f64 y z)))

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.0b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 30 to 11 computations (63.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`rational.json-simplify-35`
1242×	`rational.json-1`
1242×	`rational.json-2`
1242×	`rational.json-4`
1242×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	50	13
2	146	13
3	419	13
4	1348	13
5	3763	13

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)

Outputs

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

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-51`
1474×	`rational.json-simplify-35`
1122×	`rational.json-simplify-53`
964×	`rational.json-simplify-43`
856×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	910
1	331	910
2	740	910
3	1727	910
4	3507	910
5	6842	910
6	7720	910

Stop Event

1×	node limit

Counts

70 → 70

Calls

Call 1

Inputs
(+.f64 (*.f64 z (/.f64 x y)) 0)
(+.f64 0 (*.f64 z (/.f64 x y)))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 z x) (neg.f64 y))))
(+.f64 (.f64 (/.f64 1/2 y) (.f64 z x)) (.f64 (/.f64 1/2 y) (.f64 z x)))
(-.f64 (*.f64 z (/.f64 x y)) 0)
(-.f64 0 (/.f64 (*.f64 z x) (neg.f64 y)))
(*.f64 z (/.f64 x y))
(.f64 z (.f64 (*.f64 x (/.f64 2 y)) 1/2))
(.f64 z (.f64 (.f64 2 (/.f64 1 y)) (.f64 x 1/2)))
(.f64 z (.f64 (/.f64 2 y) (*.f64 x 1/2)))
(*.f64 x (/.f64 z y))
(.f64 x (.f64 1/2 (*.f64 z (/.f64 2 y))))
(.f64 x (.f64 (*.f64 z (/.f64 2 y)) 1/2))
(.f64 x (.f64 (/.f64 2 y) (*.f64 z 1/2)))
(.f64 (.f64 z x) (/.f64 1 y))
(.f64 (.f64 z x) (.f64 (.f64 2 (/.f64 1 y)) 1/2))
(.f64 (.f64 z x) (*.f64 (/.f64 2 y) 1/2))
(.f64 (.f64 z (/.f64 x y)) 1)
(.f64 1 (.f64 z (/.f64 x y)))
(.f64 (.f64 z (+.f64 x x)) (/.f64 1/2 y))
(.f64 (.f64 z (+.f64 x x)) (*.f64 (/.f64 1 y) 1/2))
(.f64 (.f64 z (+.f64 x x)) (.f64 (.f64 (/.f64 1 y) 1/2) 1))
(*.f64 (/.f64 z y) x)
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 z x)))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 y)) z))
(.f64 2 (.f64 (*.f64 z (/.f64 1/2 y)) x))
(.f64 2 (.f64 (.f64 (/.f64 1/2 y) (.f64 z x)) 1))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 z y)))
(.f64 2 (.f64 (/.f64 (*.f64 z x) 2) (/.f64 1 y)))
(.f64 2 (.f64 (*.f64 z 1/2) (/.f64 x y)))
(.f64 2 (.f64 (*.f64 z (/.f64 x y)) 1/2))
(.f64 2 (.f64 (/.f64 x y) (*.f64 z 1/2)))
(.f64 2 (/.f64 (.f64 x 1/2) (/.f64 y z)))
(.f64 2 (.f64 x (*.f64 z (/.f64 1/2 y))))
(.f64 2 (.f64 z (*.f64 x (/.f64 1/2 y))))
(.f64 2 (.f64 (*.f64 z x) (/.f64 1/2 y)))
(.f64 (+.f64 z z) (.f64 x (/.f64 1/2 y)))
(.f64 (+.f64 z z) (.f64 1/2 (/.f64 x y)))
(.f64 (+.f64 z z) (.f64 (/.f64 x y) 1/2))
(.f64 (.f64 z (*.f64 x (/.f64 2 y))) 1/2)
(.f64 (.f64 x (.f64 z 4)) (/.f64 1 (.f64 y 4)))
(.f64 (.f64 x (.f64 z 4)) (.f64 (/.f64 1 (*.f64 y 4)) 1))
(.f64 (.f64 x (.f64 z 4)) (.f64 1/4 (/.f64 1 y)))
(.f64 (.f64 x (.f64 z 4)) (.f64 1/2 (/.f64 1/2 y)))
(.f64 (+.f64 x x) (.f64 z (/.f64 1/2 y)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 z y)))
(.f64 (+.f64 x x) (.f64 (/.f64 z y) 1/2))
(.f64 (/.f64 1 y) (.f64 z x))
(*.f64 (/.f64 x y) z)
(*.f64 (neg.f64 z) (/.f64 x (neg.f64 y)))
(.f64 (.f64 x (neg.f64 z)) (/.f64 -1 y))
(.f64 (.f64 x (neg.f64 z)) (*.f64 (/.f64 -1 y) 1))
(.f64 -1 (/.f64 (.f64 z x) (neg.f64 y)))
(.f64 -1 (.f64 (/.f64 (neg.f64 z) y) x))
(.f64 -1 (.f64 (/.f64 (*.f64 z x) (neg.f64 y)) 1))
(.f64 (.f64 z (/.f64 2 y)) (*.f64 x 1/2))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 z 1/2))
(.f64 1/2 (.f64 z (*.f64 x (/.f64 2 y))))
(.f64 (.f64 z 1/2) (*.f64 x (/.f64 2 y)))
(.f64 (.f64 x 1/2) (*.f64 z (/.f64 2 y)))
(.f64 (.f64 z (/.f64 1/2 y)) (+.f64 x x))
(.f64 (.f64 x (/.f64 1/2 y)) (+.f64 z z))
(.f64 (/.f64 1/2 y) (.f64 z (+.f64 x x)))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 z (+.f64 x x)))
(.f64 (/.f64 (.f64 z x) (neg.f64 y)) -1)
(.f64 (.f64 (/.f64 1/2 y) (*.f64 z x)) 2)
(.f64 (/.f64 -1 y) (.f64 x (neg.f64 z)))
(.f64 (/.f64 1 (.f64 y 4)) (.f64 x (.f64 z 4)))
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))

Outputs
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(+.f64 0 (*.f64 z (/.f64 x y)))
(*.f64 z (/.f64 x y))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 z x) (neg.f64 y))))
(*.f64 z (/.f64 x y))
(+.f64 (.f64 (/.f64 1/2 y) (.f64 z x)) (.f64 (/.f64 1/2 y) (.f64 z x)))
(*.f64 z (/.f64 x y))
(-.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(-.f64 0 (/.f64 (*.f64 z x) (neg.f64 y)))
(*.f64 z (/.f64 x y))
(*.f64 z (/.f64 x y))
(.f64 z (.f64 (*.f64 x (/.f64 2 y)) 1/2))
(*.f64 z (/.f64 x y))
(.f64 z (.f64 (.f64 2 (/.f64 1 y)) (.f64 x 1/2)))
(*.f64 z (/.f64 x y))
(.f64 z (.f64 (/.f64 2 y) (*.f64 x 1/2)))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 x (.f64 1/2 (*.f64 z (/.f64 2 y))))
(*.f64 z (/.f64 x y))
(.f64 x (.f64 (*.f64 z (/.f64 2 y)) 1/2))
(*.f64 z (/.f64 x y))
(.f64 x (.f64 (/.f64 2 y) (*.f64 z 1/2)))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z x) (/.f64 1 y))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z x) (.f64 (.f64 2 (/.f64 1 y)) 1/2))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z x) (*.f64 (/.f64 2 y) 1/2))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z (/.f64 x y)) 1)
(*.f64 z (/.f64 x y))
(.f64 1 (.f64 z (/.f64 x y)))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z (+.f64 x x)) (/.f64 1/2 y))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z (+.f64 x x)) (*.f64 (/.f64 1 y) 1/2))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z (+.f64 x x)) (.f64 (.f64 (/.f64 1 y) 1/2) 1))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 z x)))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 y)) z))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (*.f64 z (/.f64 1/2 y)) x))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (.f64 (/.f64 1/2 y) (.f64 z x)) 1))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 z y)))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (/.f64 (*.f64 z x) 2) (/.f64 1 y)))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (*.f64 z 1/2) (/.f64 x y)))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (*.f64 z (/.f64 x y)) 1/2))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (/.f64 x y) (*.f64 z 1/2)))
(*.f64 z (/.f64 x y))
(.f64 2 (/.f64 (.f64 x 1/2) (/.f64 y z)))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 x (*.f64 z (/.f64 1/2 y))))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 z (*.f64 x (/.f64 1/2 y))))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (*.f64 z x) (/.f64 1/2 y)))
(*.f64 z (/.f64 x y))
(.f64 (+.f64 z z) (.f64 x (/.f64 1/2 y)))
(*.f64 z (/.f64 x y))
(.f64 (+.f64 z z) (.f64 1/2 (/.f64 x y)))
(*.f64 z (/.f64 x y))
(.f64 (+.f64 z z) (.f64 (/.f64 x y) 1/2))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z (*.f64 x (/.f64 2 y))) 1/2)
(*.f64 z (/.f64 x y))
(.f64 (.f64 x (.f64 z 4)) (/.f64 1 (.f64 y 4)))
(*.f64 z (/.f64 x y))
(.f64 (.f64 x (.f64 z 4)) (.f64 (/.f64 1 (*.f64 y 4)) 1))
(*.f64 z (/.f64 x y))
(.f64 (.f64 x (.f64 z 4)) (.f64 1/4 (/.f64 1 y)))
(*.f64 z (/.f64 x y))
(.f64 (.f64 x (.f64 z 4)) (.f64 1/2 (/.f64 1/2 y)))
(*.f64 z (/.f64 x y))
(.f64 (+.f64 x x) (.f64 z (/.f64 1/2 y)))
(*.f64 z (/.f64 x y))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 z y)))
(*.f64 z (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 z y) 1/2))
(*.f64 z (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 z x))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(*.f64 (neg.f64 z) (/.f64 x (neg.f64 y)))
(*.f64 z (/.f64 x y))
(.f64 (.f64 x (neg.f64 z)) (/.f64 -1 y))
(*.f64 z (/.f64 x y))
(.f64 (.f64 x (neg.f64 z)) (*.f64 (/.f64 -1 y) 1))
(*.f64 z (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) (neg.f64 y)))
(*.f64 z (/.f64 x y))
(.f64 -1 (.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 z (/.f64 x y))
(.f64 -1 (.f64 (/.f64 (*.f64 z x) (neg.f64 y)) 1))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z (/.f64 2 y)) (*.f64 x 1/2))
(*.f64 z (/.f64 x y))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 z 1/2))
(*.f64 z (/.f64 x y))
(.f64 1/2 (.f64 z (*.f64 x (/.f64 2 y))))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z 1/2) (*.f64 x (/.f64 2 y)))
(*.f64 z (/.f64 x y))
(.f64 (.f64 x 1/2) (*.f64 z (/.f64 2 y)))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z (/.f64 1/2 y)) (+.f64 x x))
(*.f64 z (/.f64 x y))
(.f64 (.f64 x (/.f64 1/2 y)) (+.f64 z z))
(*.f64 z (/.f64 x y))
(.f64 (/.f64 1/2 y) (.f64 z (+.f64 x x)))
(*.f64 z (/.f64 x y))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 z (+.f64 x x)))
(*.f64 z (/.f64 x y))
(.f64 (/.f64 (.f64 z x) (neg.f64 y)) -1)
(*.f64 z (/.f64 x y))
(.f64 (.f64 (/.f64 1/2 y) (*.f64 z x)) 2)
(*.f64 z (/.f64 x y))
(.f64 (/.f64 -1 y) (.f64 x (neg.f64 z)))
(*.f64 z (/.f64 x y))
(.f64 (/.f64 1 (.f64 y 4)) (.f64 x (.f64 z 4)))
(*.f64 z (/.f64 x y))
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(*.f64 z (/.f64 x y))
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))
(*.f64 z (/.f64 x y))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))

Compiler

Compiled 37 to 23 computations (37.8% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
0.0ms	y	@	inf	(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
0.0ms	x	@	-inf	(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
0.0ms	y	@	0	(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
0.0ms	x	@	inf	(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`rational.json-1`
1470×	`rational.json-2`
1470×	`rational.json-4`
1470×	`rational.json-3`
1464×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	79	25
2	183	19
3	387	19
4	973	13
5	3929	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))

Outputs

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

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational.json-simplify-51`
1528×	`rational.json-simplify-54`
1150×	`rational.json-simplify-2`
874×	`rational.json-simplify-1`
486×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1084
1	225	1068
2	588	996
3	2409	980
4	3840	980
5	6628	980

Stop Event

1×	node limit

Counts

52 → 60

Calls

Call 1

Inputs
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) 4) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) 4) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) 4) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) 4) y))
(/.f64 4 y)
(/.f64 x y)
(/.f64 x y)
(-.f64 (/.f64 (+.f64 4 x) y) 0)
(*.f64 4 (/.f64 (/.f64 (+.f64 4 x) y) 4))
(*.f64 1 (/.f64 (+.f64 4 x) y))
(*.f64 (/.f64 1 y) (+.f64 4 x))
(*.f64 (/.f64 (+.f64 4 x) y) 1)
(.f64 2 (.f64 (/.f64 1/2 y) (+.f64 4 x)))
(*.f64 2 (+.f64 (/.f64 2 y) (/.f64 (/.f64 x y) 2)))
(.f64 (/.f64 2 y) (.f64 1/2 (+.f64 4 x)))
(.f64 (.f64 (/.f64 2 y) (+.f64 4 x)) 1/2)
(.f64 (.f64 4 (/.f64 (+.f64 4 x) y)) 1/4)
(.f64 (/.f64 1/2 y) (.f64 2 (+.f64 4 x)))
(*.f64 (/.f64 1/2 y) (+.f64 (+.f64 x x) 8))
(.f64 1/2 (.f64 (/.f64 2 y) (+.f64 4 x)))
(.f64 1/2 (+.f64 (.f64 x (/.f64 2 y)) (*.f64 4 (/.f64 2 y))))
(*.f64 (+.f64 4 x) (/.f64 1 y))
(.f64 (.f64 2 (+.f64 4 x)) (/.f64 1/2 y))
(.f64 1/4 (.f64 4 (/.f64 (+.f64 4 x) y)))
(.f64 (.f64 (/.f64 1/2 y) (+.f64 4 x)) 2)
(.f64 (.f64 1/2 (+.f64 4 x)) (/.f64 2 y))
(*.f64 (/.f64 (/.f64 (+.f64 4 x) y) 4) 4)
(*.f64 (+.f64 (/.f64 2 y) (/.f64 (/.f64 x y) 2)) 2)
(*.f64 (+.f64 (+.f64 x x) 8) (/.f64 1/2 y))
(.f64 (+.f64 (.f64 x (/.f64 2 y)) (*.f64 4 (/.f64 2 y))) 1/2)
(.f64 (+.f64 (.f64 4 (/.f64 1 x)) 1) (/.f64 x y))
(/.f64 (/.f64 (+.f64 4 x) y) 1)
(/.f64 (*.f64 (/.f64 2 y) (+.f64 4 x)) 2)
(/.f64 (*.f64 4 (/.f64 (+.f64 4 x) y)) 4)
(/.f64 (+.f64 4 x) y)
(/.f64 (.f64 2 (.f64 4 (/.f64 (+.f64 4 x) y))) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (/.f64 (+.f64 4 x) y)))) 16)
(/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 4 y)) (/.f64 y x)) (.f64 (/.f64 (.f64 y y) (*.f64 4 y)) (/.f64 y x)))
(/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 4 y)) (.f64 (/.f64 x y) (.f64 (/.f64 y x) (/.f64 y x)))) (.f64 (/.f64 (.f64 y y) (.f64 4 y)) (.f64 (/.f64 x y) (*.f64 (/.f64 y x) (/.f64 y x)))))
(/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 4 y)) (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (/.f64 x y) 2))) (.f64 (/.f64 (.f64 y y) (.f64 4 y)) (.f64 (.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (/.f64 x y) 2))))
(/.f64 (+.f64 (/.f64 y x) (/.f64 (.f64 y y) (.f64 4 y))) (.f64 (/.f64 y x) (/.f64 (.f64 y y) (*.f64 4 y))))
(/.f64 (+.f64 (.f64 (/.f64 x y) (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (.f64 y y) (.f64 4 y))) (.f64 (.f64 (/.f64 x y) (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (.f64 y y) (*.f64 4 y))))
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (/.f64 x y) 2)) (/.f64 (.f64 y y) (.f64 4 y))) (.f64 (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (/.f64 x y) 2)) (/.f64 (.f64 y y) (*.f64 4 y))))
(pow.f64 (/.f64 (+.f64 4 x) y) 1)

Outputs
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) 4) y))
(.f64 -1 (/.f64 (-.f64 (.f64 x -1) 4) y))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) 4) y))
(neg.f64 (/.f64 (-.f64 -4 x) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) 4) y))
(.f64 -1 (/.f64 (-.f64 (.f64 x -1) 4) y))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) 4) y))
(neg.f64 (/.f64 (-.f64 -4 x) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) 4) y))
(.f64 -1 (/.f64 (-.f64 (.f64 x -1) 4) y))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) 4) y))
(neg.f64 (/.f64 (-.f64 -4 x) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) 4) y))
(.f64 -1 (/.f64 (-.f64 (.f64 x -1) 4) y))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) 4) y))
(neg.f64 (/.f64 (-.f64 -4 x) y))
(/.f64 4 y)
(/.f64 x y)
(/.f64 x y)
(-.f64 (/.f64 (+.f64 4 x) y) 0)
(/.f64 (+.f64 4 x) y)
(*.f64 4 (/.f64 (/.f64 (+.f64 4 x) y) 4))
(/.f64 (+.f64 4 x) y)
(*.f64 1 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 4 x) y)
(*.f64 (/.f64 1 y) (+.f64 4 x))
(/.f64 (+.f64 4 x) y)
(*.f64 (/.f64 (+.f64 4 x) y) 1)
(/.f64 (+.f64 4 x) y)
(.f64 2 (.f64 (/.f64 1/2 y) (+.f64 4 x)))
(/.f64 (+.f64 4 x) y)
(*.f64 2 (+.f64 (/.f64 2 y) (/.f64 (/.f64 x y) 2)))
(.f64 2 (+.f64 (/.f64 2 y) (/.f64 x (.f64 y 2))))
(*.f64 2 (+.f64 (/.f64 2 y) (/.f64 x (+.f64 y y))))
(.f64 (/.f64 2 y) (.f64 1/2 (+.f64 4 x)))
(.f64 1/2 (.f64 (+.f64 4 x) (/.f64 2 y)))
(.f64 (+.f64 4 x) (.f64 (/.f64 2 y) 1/2))
(.f64 (+.f64 4 x) (.f64 1/2 (/.f64 2 y)))
(.f64 (.f64 (/.f64 2 y) (+.f64 4 x)) 1/2)
(.f64 1/2 (.f64 (+.f64 4 x) (/.f64 2 y)))
(.f64 (+.f64 4 x) (.f64 (/.f64 2 y) 1/2))
(.f64 (+.f64 4 x) (.f64 1/2 (/.f64 2 y)))
(.f64 (.f64 4 (/.f64 (+.f64 4 x) y)) 1/4)
(/.f64 (+.f64 4 x) y)
(.f64 (/.f64 1/2 y) (.f64 2 (+.f64 4 x)))
(/.f64 (+.f64 4 x) y)
(*.f64 (/.f64 1/2 y) (+.f64 (+.f64 x x) 8))
(/.f64 (+.f64 4 x) y)
(.f64 1/2 (.f64 (/.f64 2 y) (+.f64 4 x)))
(.f64 1/2 (.f64 (+.f64 4 x) (/.f64 2 y)))
(.f64 (+.f64 4 x) (.f64 (/.f64 2 y) 1/2))
(.f64 (+.f64 4 x) (.f64 1/2 (/.f64 2 y)))
(.f64 1/2 (+.f64 (.f64 x (/.f64 2 y)) (*.f64 4 (/.f64 2 y))))
(.f64 1/2 (.f64 (+.f64 4 x) (/.f64 2 y)))
(.f64 (+.f64 4 x) (.f64 (/.f64 2 y) 1/2))
(.f64 (+.f64 4 x) (.f64 1/2 (/.f64 2 y)))
(*.f64 (+.f64 4 x) (/.f64 1 y))
(/.f64 (+.f64 4 x) y)
(.f64 (.f64 2 (+.f64 4 x)) (/.f64 1/2 y))
(/.f64 (+.f64 4 x) y)
(.f64 1/4 (.f64 4 (/.f64 (+.f64 4 x) y)))
(/.f64 (+.f64 4 x) y)
(.f64 (.f64 (/.f64 1/2 y) (+.f64 4 x)) 2)
(/.f64 (+.f64 4 x) y)
(.f64 (.f64 1/2 (+.f64 4 x)) (/.f64 2 y))
(.f64 1/2 (.f64 (+.f64 4 x) (/.f64 2 y)))
(.f64 (+.f64 4 x) (.f64 (/.f64 2 y) 1/2))
(.f64 (+.f64 4 x) (.f64 1/2 (/.f64 2 y)))
(*.f64 (/.f64 (/.f64 (+.f64 4 x) y) 4) 4)
(/.f64 (+.f64 4 x) y)
(*.f64 (+.f64 (/.f64 2 y) (/.f64 (/.f64 x y) 2)) 2)
(.f64 2 (+.f64 (/.f64 2 y) (/.f64 x (.f64 y 2))))
(*.f64 2 (+.f64 (/.f64 2 y) (/.f64 x (+.f64 y y))))
(*.f64 (+.f64 (+.f64 x x) 8) (/.f64 1/2 y))
(/.f64 (+.f64 4 x) y)
(.f64 (+.f64 (.f64 x (/.f64 2 y)) (*.f64 4 (/.f64 2 y))) 1/2)
(.f64 1/2 (.f64 (+.f64 4 x) (/.f64 2 y)))
(.f64 (+.f64 4 x) (.f64 (/.f64 2 y) 1/2))
(.f64 (+.f64 4 x) (.f64 1/2 (/.f64 2 y)))
(.f64 (+.f64 (.f64 4 (/.f64 1 x)) 1) (/.f64 x y))
(.f64 (/.f64 x y) (+.f64 1 (.f64 4 (/.f64 1 x))))
(/.f64 (/.f64 (+.f64 4 x) y) 1)
(/.f64 (+.f64 4 x) y)
(/.f64 (*.f64 (/.f64 2 y) (+.f64 4 x)) 2)
(/.f64 (+.f64 4 x) y)
(/.f64 (*.f64 4 (/.f64 (+.f64 4 x) y)) 4)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (.f64 2 (.f64 4 (/.f64 (+.f64 4 x) y))) 8)
(/.f64 (+.f64 4 x) y)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (/.f64 (+.f64 4 x) y)))) 16)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 4 y)) (/.f64 y x)) (.f64 (/.f64 (.f64 y y) (*.f64 4 y)) (/.f64 y x)))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 1 (/.f64 y x)))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 x (/.f64 y 1)))
(+.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 y y) 4)))
(+.f64 (/.f64 x y) (/.f64 4 (/.f64 (*.f64 y y) y)))
(+.f64 (/.f64 x y) (/.f64 4 (+.f64 y (/.f64 0 y))))
(/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 4 y)) (.f64 (/.f64 x y) (.f64 (/.f64 y x) (/.f64 y x)))) (.f64 (/.f64 (.f64 y y) (.f64 4 y)) (.f64 (/.f64 x y) (*.f64 (/.f64 y x) (/.f64 y x)))))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 1 (/.f64 y x)))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 x (/.f64 y 1)))
(+.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 y y) 4)))
(+.f64 (/.f64 x y) (/.f64 4 (/.f64 (*.f64 y y) y)))
(+.f64 (/.f64 x y) (/.f64 4 (+.f64 y (/.f64 0 y))))
(/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 4 y)) (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (/.f64 x y) 2))) (.f64 (/.f64 (.f64 y y) (.f64 4 y)) (.f64 (.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (/.f64 x y) 2))))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 1 (.f64 (/.f64 x (.f64 y 2)) (.f64 (/.f64 y x) (.f64 (/.f64 y x) 2)))))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 1 (.f64 (/.f64 x (.f64 y 2)) (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))))))
(+.f64 (/.f64 y (/.f64 (.f64 y y) 4)) (/.f64 (/.f64 x y) (.f64 (/.f64 x (+.f64 y y)) (*.f64 2 (/.f64 y x)))))
(+.f64 (/.f64 4 (/.f64 (.f64 y y) y)) (/.f64 (/.f64 x y) (.f64 (/.f64 x (+.f64 y y)) (*.f64 2 (/.f64 y x)))))
(+.f64 (/.f64 4 (+.f64 y (/.f64 0 y))) (/.f64 y (/.f64 (/.f64 x 2) (/.f64 (/.f64 x y) (*.f64 2 (/.f64 y x))))))
(+.f64 (/.f64 4 (+.f64 y (/.f64 0 y))) (/.f64 y (/.f64 (/.f64 x 2) (/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 2))))
(/.f64 (+.f64 (/.f64 y x) (/.f64 (.f64 y y) (.f64 4 y))) (.f64 (/.f64 y x) (/.f64 (.f64 y y) (*.f64 4 y))))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 1 (/.f64 y x)))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 x (/.f64 y 1)))
(+.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 y y) 4)))
(+.f64 (/.f64 x y) (/.f64 4 (/.f64 (*.f64 y y) y)))
(+.f64 (/.f64 x y) (/.f64 4 (+.f64 y (/.f64 0 y))))
(/.f64 (+.f64 (.f64 (/.f64 x y) (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (.f64 y y) (.f64 4 y))) (.f64 (.f64 (/.f64 x y) (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (.f64 y y) (*.f64 4 y))))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 1 (/.f64 y x)))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 x (/.f64 y 1)))
(+.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 y y) 4)))
(+.f64 (/.f64 x y) (/.f64 4 (/.f64 (*.f64 y y) y)))
(+.f64 (/.f64 x y) (/.f64 4 (+.f64 y (/.f64 0 y))))
(/.f64 (+.f64 (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (/.f64 x y) 2)) (/.f64 (.f64 y y) (.f64 4 y))) (.f64 (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (/.f64 x y) 2)) (/.f64 (.f64 y y) (*.f64 4 y))))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 1 (.f64 (/.f64 x (.f64 y 2)) (.f64 (/.f64 y x) (.f64 (/.f64 y x) 2)))))
(+.f64 (/.f64 1 (/.f64 (.f64 y y) (.f64 4 y))) (/.f64 1 (.f64 (/.f64 x (.f64 y 2)) (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))))))
(+.f64 (/.f64 y (/.f64 (.f64 y y) 4)) (/.f64 (/.f64 x y) (.f64 (/.f64 x (+.f64 y y)) (*.f64 2 (/.f64 y x)))))
(+.f64 (/.f64 4 (/.f64 (.f64 y y) y)) (/.f64 (/.f64 x y) (.f64 (/.f64 x (+.f64 y y)) (*.f64 2 (/.f64 y x)))))
(+.f64 (/.f64 4 (+.f64 y (/.f64 0 y))) (/.f64 y (/.f64 (/.f64 x 2) (/.f64 (/.f64 x y) (*.f64 2 (/.f64 y x))))))
(+.f64 (/.f64 4 (+.f64 y (/.f64 0 y))) (/.f64 y (/.f64 (/.f64 x 2) (/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 2))))
(pow.f64 (/.f64 (+.f64 4 x) y) 1)
(/.f64 (+.f64 4 x) y)

eval144.0ms (1.4%)

Compiler: Compiled 5018 to 2884 computations (42.5% saved)

prune163.0ms (1.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	367	7	374
Fresh	2	0	2
Picked	1	0	1
Done	1	4	5
Total	371	11	382

Error

0.0b

Counts

382 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.3b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y))
▶	18.2b	(fabs.f64 (/.f64 (+.f64 4 x) y))
	45.7b	(fabs.f64 (/.f64 (neg.f64 z) (/.f64 y x)))
▶	45.5b	(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
▶	47.5b	(fabs.f64 (/.f64 x y))
✓	31.9b	(fabs.f64 (/.f64 4 y))
✓	1.8b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	18.2b	(fabs.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))
▶	45.6b	(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
✓	45.5b	(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
✓	48.4b	(fabs.f64 (.f64 -1 (/.f64 (.f64 z x) y)))

Compiler

Compiled 183 to 133 computations (27.3% saved)

localize83.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.0b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)

Compiler

Compiled 39 to 19 computations (51.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)
0.0ms	x	@	-inf	(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)
0.0ms	z	@	-inf	(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)
0.0ms	y	@	inf	(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)
0.0ms	z	@	inf	(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1686×	`rational.json-1`
1686×	`rational.json-2`
1686×	`rational.json-4`
1686×	`rational.json-3`
1678×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	69	25
2	171	25
3	439	25
4	1135	25
5	4385	25

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)

Outputs

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

simplify178.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational.json-simplify-50`
1272×	`rational.json-simplify-2`
906×	`rational.json-simplify-35`
860×	`rational.json-simplify-61`
766×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	2916
1	392	2882
2	1005	2870
3	3873	2810
4	6502	2810
5	7993	2810

Stop Event

1×	node limit

Counts

90 → 100

Calls

Call 1

Inputs
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 4 x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 0)
(+.f64 0 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))
(+.f64 (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 1/2 y)) (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 1/2 y)))
(-.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 0)
(.f64 4 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) (*.f64 4 y)))
(.f64 4 (/.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) y) 4))
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 1 y))
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (.f64 2 (/.f64 1 y)) 1/2))
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (*.f64 (/.f64 2 y) 1/2))
(.f64 y (/.f64 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))))
(.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) y) 1)
(.f64 1 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) y))
(.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2) (/.f64 1/2 y))
(.f64 2 (.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 1/2 y)))
(.f64 (.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 2 y)) 1/2)
(.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -4) (/.f64 (/.f64 1 y) 4))
(.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -4) (.f64 (/.f64 (/.f64 1 y) 4) 1))
(.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -4) (.f64 1/4 (/.f64 1 y)))
(.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -4) (.f64 1/2 (/.f64 1/2 y)))
(.f64 (/.f64 1 y) (+.f64 x (-.f64 4 (.f64 x z))))
(.f64 (/.f64 1 y) (/.f64 1 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4)))))
(.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (/.f64 -1 y))
(.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (*.f64 (/.f64 -1 y) 1))
(.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (*.f64 -1 (/.f64 1 y)))
(.f64 (/.f64 y (+.f64 x (-.f64 4 (.f64 x z)))) (/.f64 1 (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))))
(.f64 (/.f64 y (+.f64 x (-.f64 4 (.f64 x z)))) (/.f64 2 (.f64 2 (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y)))))
(.f64 -1 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))
(.f64 -1 (.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y) 1))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2) (neg.f64 (+.f64 y y))))
(.f64 (/.f64 y (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2)) (/.f64 1 (.f64 2 (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y)))))
(.f64 (/.f64 y (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2)) (/.f64 1/2 (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))))
(.f64 (/.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -4) y) 1/4)
(.f64 (.f64 (+.f64 x (-.f64 4 (.f64 x z))) 8) (/.f64 1 (.f64 y 8)))
(.f64 1/2 (.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 2 y)))
(.f64 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 y (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))))
(.f64 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (+.f64 y y) (.f64 2 (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2))
(.f64 (.f64 2 (-.f64 (*.f64 x z) (+.f64 x 4))) (/.f64 1/2 (neg.f64 y)))
(.f64 (.f64 2 (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 1 (.f64 y -2)))
(.f64 (.f64 2 (-.f64 (*.f64 x z) (+.f64 x 4))) (/.f64 1 (neg.f64 (+.f64 y y))))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2))
(.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y) -1)
(.f64 (/.f64 y (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2)) (/.f64 2 (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y))))
(.f64 (/.f64 1/2 (+.f64 x (-.f64 4 (.f64 x z)))) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))))
(.f64 (/.f64 2 y) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2))
(.f64 (.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 1/2 y)) 2)
(.f64 (/.f64 1 (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (neg.f64 y) (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))))
(.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2) (/.f64 2 y))
(.f64 1/4 (/.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -4) y))
(.f64 (/.f64 2 (+.f64 x (-.f64 4 (.f64 x z)))) (/.f64 y (.f64 2 (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y)))))
(.f64 (/.f64 (/.f64 1 y) 4) (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -4))
(.f64 (/.f64 -1 y) (-.f64 (.f64 x z) (+.f64 x 4)))
(pow.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 1)
(neg.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y))

Outputs
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (-.f64 1 z) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 1 z) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (-.f64 1 z) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 1 z) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (-.f64 1 z) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 1 z) (/.f64 x y)))
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (-.f64 1 z) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 1 z) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (-.f64 1 z) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 1 z) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (-.f64 1 z) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 1 z) (/.f64 x y)))
(/.f64 (+.f64 4 x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 z (neg.f64 (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 z (neg.f64 (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 z (neg.f64 (/.f64 x y))) (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (.f64 x (/.f64 z y)))
(neg.f64 (*.f64 z (/.f64 x y)))
(*.f64 z (neg.f64 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
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(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
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(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 z (neg.f64 (/.f64 x y))) (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (.f64 x (/.f64 z y)))
(neg.f64 (*.f64 z (/.f64 x y)))
(*.f64 z (neg.f64 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
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(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
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(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
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(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 z (neg.f64 (/.f64 x y))) (/.f64 x y)))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(+.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 0)
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(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(+.f64 0 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(+.f64 (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 1/2 y)) (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 1/2 y)))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(-.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 0)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 4 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) (*.f64 4 y)))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 4 (/.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) y) 4))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 1 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (.f64 2 (/.f64 1 y)) 1/2))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (*.f64 (/.f64 2 y) 1/2))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 y (/.f64 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))))
(.f64 y (/.f64 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y) (/.f64 (/.f64 y (-.f64 (.f64 z x) (+.f64 4 x))) (/.f64 1 (+.f64 x (-.f64 4 (.f64 z x)))))))
(.f64 y (/.f64 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (.f64 y (/.f64 y (-.f64 (.f64 z x) (+.f64 4 x))))) (+.f64 4 (-.f64 x (*.f64 z x)))))
(.f64 y (/.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 z x))) (.f64 (/.f64 y (+.f64 4 (-.f64 x (.f64 z x)))) y)) (+.f64 4 (-.f64 x (*.f64 z x)))))
(.f64 y (/.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 z x))) y) y))
(.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) y) 1)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 1 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2) (/.f64 1/2 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 2 (.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 1/2 y)))
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(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
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(.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -4) (/.f64 (/.f64 1 y) 4))
(.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (*.f64 -4 (/.f64 1/4 y)))
(.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -4) (.f64 (/.f64 (/.f64 1 y) 4) 1))
(.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (*.f64 -4 (/.f64 1/4 y)))
(.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -4) (.f64 1/4 (/.f64 1 y)))
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(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2) (neg.f64 (+.f64 y y))))
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(.f64 (.f64 2 (-.f64 (*.f64 x z) (+.f64 x 4))) (/.f64 1 (neg.f64 (+.f64 y y))))
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(.f64 (.f64 2 (/.f64 1 y)) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2))
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(.f64 (/.f64 1 y) (.f64 2 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) -2)))
(.f64 2 (.f64 (/.f64 1 y) (.f64 (-.f64 (.f64 z x) (+.f64 4 x)) -1/2)))
(.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y) -1)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 (/.f64 y (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2)) (/.f64 2 (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y))))
(.f64 (/.f64 y (.f64 (-.f64 (.f64 z x) (+.f64 4 x)) -2)) (/.f64 2 (/.f64 y (.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y)))))
(.f64 (.f64 y (/.f64 1/2 (+.f64 4 (-.f64 x (.f64 z x))))) (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (.f64 (/.f64 y (-.f64 (.f64 z x) (+.f64 4 x))) (*.f64 y 1/2))))
(.f64 (/.f64 1/2 (+.f64 x (-.f64 4 (.f64 x z)))) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))))
(.f64 (/.f64 1/2 (+.f64 x (-.f64 4 (.f64 z x)))) (/.f64 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y) (/.f64 (/.f64 y (-.f64 (.f64 z x) (+.f64 4 x))) (+.f64 y y))))
(.f64 (/.f64 1/2 (+.f64 4 (-.f64 x (.f64 z x)))) (/.f64 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y) (/.f64 (/.f64 y (-.f64 (.f64 z x) (+.f64 4 x))) (+.f64 y y))))
(.f64 (/.f64 1/2 (+.f64 4 (-.f64 x (.f64 z x)))) (/.f64 (+.f64 4 (-.f64 x (.f64 z x))) (.f64 (/.f64 y (+.f64 4 (-.f64 x (*.f64 z x)))) (/.f64 y (+.f64 y y)))))
(.f64 (/.f64 1/2 (+.f64 4 (-.f64 x (.f64 z x)))) (.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 z x))) y) (.f64 (-.f64 (.f64 z x) (+.f64 4 x)) -2)))
(.f64 (/.f64 2 y) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2))
(.f64 (/.f64 2 y) (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) -2))
(.f64 (/.f64 2 y) (.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) -1/2))
(.f64 (.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) -1/2) (/.f64 2 y))
(.f64 (.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 1/2 y)) 2)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 (/.f64 1 (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (neg.f64 y) (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) y))))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2) (/.f64 2 y))
(.f64 (/.f64 2 y) (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) -2))
(.f64 (/.f64 2 y) (.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) -1/2))
(.f64 (.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) -1/2) (/.f64 2 y))
(.f64 1/4 (/.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -4) y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(.f64 (/.f64 2 (+.f64 x (-.f64 4 (.f64 x z)))) (/.f64 y (.f64 2 (/.f64 (/.f64 y (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y)))))
(.f64 (/.f64 2 (+.f64 x (-.f64 4 (.f64 z x)))) (/.f64 y (.f64 2 (/.f64 y (.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))))))
(.f64 (/.f64 2 (+.f64 4 (-.f64 x (.f64 z x)))) (/.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 z x))) (/.f64 y (+.f64 4 (-.f64 x (.f64 z x))))) (/.f64 y (/.f64 y 2))))
(.f64 (/.f64 2 (+.f64 4 (-.f64 x (.f64 z x)))) (/.f64 (.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)) 2))
(.f64 (/.f64 2 (+.f64 4 (-.f64 x (.f64 z x)))) (/.f64 1/2 (/.f64 (/.f64 y (-.f64 (.f64 z x) (+.f64 4 x))) (-.f64 (.f64 z x) (+.f64 4 x)))))
(.f64 (/.f64 (/.f64 1 y) 4) (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -4))
(.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (*.f64 -4 (/.f64 1/4 y)))
(.f64 (/.f64 -1 y) (-.f64 (.f64 x z) (+.f64 x 4)))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(pow.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 1)
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)
(neg.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 z x))) y)

localize5.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 4 x) y)

Compiler

Compiled 20 to 13 computations (35% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (+.f64 4 x) y)
0.0ms	x	@	0	(/.f64 (+.f64 4 x) y)
0.0ms	x	@	-inf	(/.f64 (+.f64 4 x) y)
0.0ms	y	@	0	(/.f64 (+.f64 4 x) y)
0.0ms	y	@	-inf	(/.f64 (+.f64 4 x) y)

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`rational.json-1`
1314×	`rational.json-2`
1314×	`rational.json-4`
1314×	`rational.json-3`
1306×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	127	13
3	326	13
4	847	13
5	3543	13

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

Inputs
(/.f64 (+.f64 4 x) y)

Outputs

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

simplify151.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1556×	`rational.json-simplify-51`
1046×	`rational.json-simplify-53`
922×	`rational.json-simplify-2`
776×	`rational.json-simplify-50`
750×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1906
1	295	1810
2	741	1744
3	2984	1744
4	5080	1744

Stop Event

1×	node limit

Counts

82 → 93

Calls

Call 1

Inputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 (+.f64 4 x) y) 0)
(+.f64 0 (/.f64 (+.f64 4 x) y))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 4 x) (neg.f64 y))))
(+.f64 (.f64 (+.f64 4 x) (/.f64 1/2 y)) (.f64 (+.f64 4 x) (/.f64 1/2 y)))
(-.f64 (/.f64 (+.f64 4 x) y) 0)
(-.f64 0 (/.f64 (+.f64 4 x) (neg.f64 y)))
(.f64 4 (/.f64 (+.f64 4 x) (.f64 4 y)))
(*.f64 4 (/.f64 (/.f64 (+.f64 4 x) y) 4))
(*.f64 (+.f64 4 x) (/.f64 1 y))
(.f64 (+.f64 4 x) (.f64 1/2 (/.f64 2 y)))
(.f64 y (/.f64 (/.f64 1 (+.f64 4 x)) (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))))
(*.f64 (/.f64 (+.f64 4 x) y) 1)
(*.f64 1 (/.f64 (+.f64 4 x) y))
(*.f64 (+.f64 (+.f64 x x) 8) (/.f64 1/2 y))
(.f64 (+.f64 (+.f64 x x) 8) (+.f64 (/.f64 1 (.f64 4 y)) (/.f64 1 (*.f64 4 y))))
(.f64 2 (.f64 (+.f64 4 x) (/.f64 1/2 y)))
(.f64 (.f64 (+.f64 4 x) (/.f64 2 y)) 1/2)
(.f64 (.f64 4 (+.f64 4 x)) (/.f64 1 (*.f64 4 y)))
(.f64 (.f64 4 (+.f64 4 x)) (*.f64 (/.f64 1 y) 1/4))
(.f64 (.f64 4 (+.f64 4 x)) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 (/.f64 1 y) (+.f64 4 x))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (+.f64 4 x))))
(*.f64 (neg.f64 (+.f64 4 x)) (/.f64 -1 y))
(.f64 (/.f64 y (+.f64 4 x)) (/.f64 1 (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))))
(.f64 (/.f64 y (+.f64 4 x)) (/.f64 2 (.f64 2 (*.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x))))))
(*.f64 -1 (/.f64 (+.f64 4 x) (neg.f64 y)))
(.f64 (/.f64 (+.f64 y y) (+.f64 4 x)) (/.f64 1 (.f64 2 (*.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x))))))
(.f64 (/.f64 (+.f64 y y) (+.f64 4 x)) (/.f64 1/2 (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))))
(.f64 (.f64 4 (/.f64 (+.f64 4 x) y)) 1/4)
(.f64 (.f64 (+.f64 4 x) 8) (/.f64 1 (*.f64 y 8)))
(.f64 1/2 (.f64 (+.f64 4 x) (/.f64 2 y)))
(.f64 (/.f64 1 (+.f64 4 x)) (/.f64 y (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))))
(*.f64 (/.f64 1/2 y) (+.f64 (+.f64 x x) 8))
(.f64 (.f64 (+.f64 4 x) -2) (/.f64 -1/2 y))
(.f64 (.f64 (+.f64 4 x) -2) (/.f64 1 (*.f64 y -2)))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (+.f64 4 x) 1/2))
(*.f64 (/.f64 (+.f64 4 x) (neg.f64 y)) -1)
(.f64 (/.f64 1/2 (+.f64 4 x)) (/.f64 (+.f64 y y) (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))))
(.f64 (.f64 (/.f64 y (+.f64 4 x)) 1/2) (/.f64 2 (*.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))))
(.f64 (/.f64 2 y) (.f64 (+.f64 4 x) 1/2))
(.f64 (.f64 (+.f64 4 x) (/.f64 1/2 y)) 2)
(.f64 (/.f64 2 (+.f64 4 x)) (/.f64 y (.f64 2 (*.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x))))))
(.f64 (.f64 (+.f64 4 x) 1/2) (*.f64 2 (/.f64 1 y)))
(.f64 (.f64 (+.f64 4 x) 1/2) (/.f64 2 y))
(.f64 1/4 (.f64 4 (/.f64 (+.f64 4 x) y)))
(.f64 (/.f64 -1 (+.f64 4 x)) (/.f64 (neg.f64 y) (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))))
(.f64 (/.f64 1 (.f64 4 y)) (*.f64 4 (+.f64 4 x)))
(*.f64 (/.f64 -1 y) (neg.f64 (+.f64 4 x)))
(.f64 (.f64 (/.f64 1 y) 1/4) (*.f64 4 (+.f64 4 x)))
(.f64 (.f64 1/2 (/.f64 2 y)) (+.f64 4 x))
(.f64 (/.f64 1 (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))) (/.f64 y (+.f64 4 x)))
(.f64 (/.f64 (+.f64 y y) (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))) (/.f64 1/2 (+.f64 4 x)))
(.f64 (/.f64 2 (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))) (*.f64 (/.f64 y (+.f64 4 x)) 1/2))
(*.f64 (/.f64 1 (/.f64 1 (+.f64 4 x))) (/.f64 1 y))
(.f64 (/.f64 y (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))) (/.f64 1 (+.f64 4 x)))
(.f64 (/.f64 (neg.f64 y) (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))) (/.f64 -1 (+.f64 4 x)))
(.f64 (/.f64 (/.f64 1 (+.f64 4 x)) (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))) y)
(.f64 (/.f64 1 (.f64 2 (*.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x))))) (/.f64 (+.f64 y y) (+.f64 4 x)))
(.f64 (/.f64 2 (.f64 2 (*.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x))))) (/.f64 y (+.f64 4 x)))
(.f64 (/.f64 (+.f64 4 x) (.f64 4 y)) 4)
(.f64 (.f64 1/2 (/.f64 1/2 y)) (*.f64 4 (+.f64 4 x)))
(.f64 (/.f64 -1/2 y) (.f64 (+.f64 4 x) -2))
(.f64 (/.f64 1/2 (.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))) (/.f64 (+.f64 y y) (+.f64 4 x)))
(.f64 (/.f64 y (.f64 2 (*.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x))))) (/.f64 2 (+.f64 4 x)))
(*.f64 (/.f64 (/.f64 (+.f64 4 x) y) 4) 4)
(.f64 (/.f64 1 (.f64 y 8)) (*.f64 (+.f64 4 x) 8))
(.f64 (/.f64 1 (.f64 y -2)) (*.f64 (+.f64 4 x) -2))
(pow.f64 (/.f64 (+.f64 4 x) y) 1)
(neg.f64 (/.f64 (+.f64 4 x) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 y (neg.f64 (+.f64 4 x))) (*.f64 y (/.f64 (/.f64 y (+.f64 4 x)) (+.f64 4 x)))))

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(*.f64 z (/.f64 x (neg.f64 y)))

Compiler

Compiled 25 to 7 computations (72% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`rational.json-simplify-35`
1254×	`rational.json-1`
1254×	`rational.json-2`
1254×	`rational.json-3`
1252×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	64	17
2	168	17
3	444	17
4	1327	17
5	3805	17

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

Inputs
(*.f64 z (/.f64 x (neg.f64 y)))

Outputs

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

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1948×	`rational.json-simplify-35`
1212×	`rational.json-simplify-44`
1170×	`rational.json-simplify-49`
1092×	`rational.json-simplify-41`
1056×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	227	2318
1	750	2074
2	2123	2074
3	7135	2074

Stop Event

1×	node limit

Counts

122 → 90

Calls

Call 1

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

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(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (.f64 x -4) (.f64 2 (/.f64 (+.f64 y y) z)))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (.f64 x -4) (+.f64 (.f64 2 (/.f64 y z)) (*.f64 2 (/.f64 y z))))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (/.f64 z 2) (/.f64 y (*.f64 x -2)))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 z) (/.f64 y x))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (.f64 2 (.f64 x -4)) (+.f64 (.f64 2 (/.f64 (+.f64 y y) z)) (.f64 2 (/.f64 (+.f64 y y) z))))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (/.f64 x (neg.f64 y)) 4)))) 16)
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (.f64 2 (/.f64 (.f64 z 4) (/.f64 (neg.f64 y) x))) 8)
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (.f64 2 (/.f64 z y)) (.f64 2 (/.f64 -1 x)))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (*.f64 2 (neg.f64 z)) (/.f64 (+.f64 y y) x))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 z 4))) (+.f64 (.f64 2 (.f64 (/.f64 y x) -4)) (.f64 2 (*.f64 (/.f64 y x) -4))))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 x (/.f64 -2 y))) (-.f64 0 (/.f64 2 z)))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (.f64 z 4)) (-.f64 0 (.f64 2 (/.f64 (*.f64 y -2) x))))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (.f64 z 4)) (-.f64 0 (.f64 (/.f64 y x) -4)))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (+.f64 z z)) (neg.f64 (/.f64 (*.f64 y -2) x)))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (/.f64 z (neg.f64 y))) (neg.f64 (/.f64 1 x)))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (/.f64 z y)) (neg.f64 (/.f64 -1 x)))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 (neg.f64 y) x))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (+.f64 (.f64 2 (/.f64 z (neg.f64 y))) (.f64 2 (/.f64 z (neg.f64 y)))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 x))))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (/.f64 x (neg.f64 y)) 4)))) (.f64 2 (.f64 2 (.f64 z (.f64 (/.f64 x (neg.f64 y)) 4))))) 32)
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 z 4) (/.f64 (neg.f64 y) x))) (.f64 2 (/.f64 (.f64 z 4) (/.f64 (neg.f64 y) x)))) 16)
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (+.f64 (.f64 2 (/.f64 z y)) (.f64 2 (/.f64 z y))) (+.f64 (.f64 2 (/.f64 -1 x)) (.f64 2 (/.f64 -1 x))))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (+.f64 (.f64 2 (neg.f64 z)) (.f64 2 (neg.f64 z))) (*.f64 2 (/.f64 (+.f64 y y) x)))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (+.f64 (neg.f64 (+.f64 z z)) (neg.f64 (+.f64 z z))) (+.f64 (neg.f64 (/.f64 (.f64 y -2) x)) (neg.f64 (/.f64 (.f64 y -2) x))))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (+.f64 (neg.f64 (/.f64 z (neg.f64 y))) (neg.f64 (/.f64 z (neg.f64 y)))) (+.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (/.f64 1 x))))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (+.f64 (neg.f64 (/.f64 z y)) (neg.f64 (/.f64 z y))) (+.f64 (neg.f64 (/.f64 -1 x)) (neg.f64 (/.f64 -1 x))))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (+.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z))) (/.f64 (*.f64 y -2) x))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (.f64 2 (neg.f64 z))) (/.f64 (.f64 y -2) x))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (+.f64 z z))) (/.f64 (*.f64 y -2) x))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (/.f64 z (neg.f64 y)))) (/.f64 1 x))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (/.f64 z y))) (/.f64 -1 x))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (/.f64 y x))
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(pow.f64 (*.f64 z (/.f64 x (neg.f64 y))) 1)
(.f64 -1 (.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 (neg.f64 x) (/.f64 y z))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`rational.json-1`
1898×	`rational.json-2`
1140×	`exponential.json-3`
1140×	`rational.json-4`
1140×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	68	17
2	219	17
3	765	17
4	3348	17
5	7541	17

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(/.f64 (neg.f64 x) (/.f64 y z))

Outputs

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

simplify150.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational.json-simplify-35`
1142×	`rational.json-simplify-43`
1124×	`rational.json-simplify-49`
872×	`exponential.json-simplify-26`
784×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1716
1	293	1716
2	662	1716
3	1950	1716
4	5809	1716

Stop Event

1×	node limit

Counts

100 → 71

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (*.f64 (neg.f64 x) (/.f64 z y)) 0)
(+.f64 0 (*.f64 (neg.f64 x) (/.f64 z y)))
(+.f64 -1 (-.f64 1 (*.f64 x (/.f64 z y))))
(+.f64 (-.f64 1 (*.f64 x (/.f64 z y))) -1)
(-.f64 (*.f64 (neg.f64 x) (/.f64 z y)) 0)
(-.f64 0 (*.f64 x (/.f64 z y)))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 z (/.f64 x (neg.f64 y)))
(.f64 (.f64 (neg.f64 x) (/.f64 z y)) 1)
(.f64 1 (.f64 (neg.f64 x) (/.f64 z y)))
(.f64 -1 (.f64 x (/.f64 z y)))
(.f64 (.f64 x -2) (/.f64 (/.f64 z y) 2))
(.f64 (.f64 x -2) (*.f64 (/.f64 z y) 1/2))
(.f64 (.f64 x -2) (*.f64 (/.f64 1 (+.f64 y y)) z))
(.f64 (+.f64 z z) (/.f64 x (.f64 y -2)))
(.f64 2 (/.f64 x (.f64 (/.f64 y z) -2)))
(.f64 2 (/.f64 z (/.f64 (.f64 y -2) x)))
(.f64 2 (/.f64 (.f64 (neg.f64 x) (/.f64 z y)) 2))
(.f64 2 (.f64 (/.f64 (/.f64 z y) 2) (neg.f64 x)))
(.f64 2 (.f64 (/.f64 x (*.f64 y -2)) z))
(.f64 (.f64 z 4) (/.f64 1 (/.f64 -4 (/.f64 x y))))
(.f64 (+.f64 x x) (/.f64 1 (.f64 (/.f64 y z) -2)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (*.f64 y -2)) z))
(.f64 -2 (/.f64 x (.f64 y (/.f64 2 z))))
(.f64 -2 (.f64 (/.f64 x (+.f64 y y)) z))
(.f64 (.f64 x (/.f64 -2 (/.f64 y z))) 1/2)
(.f64 (.f64 x -4) (/.f64 1 (*.f64 (/.f64 y z) 4)))
(.f64 (.f64 x (/.f64 z y)) -1)
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (/.f64 z y) (/.f64 1 (/.f64 -1 x)))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 -1 z)))
(*.f64 (/.f64 x y) (/.f64 -1 (/.f64 1 z)))
(*.f64 (/.f64 x (neg.f64 y)) z)
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(*.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (/.f64 1 z)))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 -1 x)))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 -1 z)))
(.f64 1/2 (.f64 x (/.f64 -2 (/.f64 y z))))
(*.f64 (/.f64 z (neg.f64 y)) x)
(.f64 (/.f64 (/.f64 z y) 2) (.f64 x -2))
(*.f64 (/.f64 -1 y) (/.f64 x (/.f64 1 z)))
(.f64 (/.f64 x (.f64 y -2)) (+.f64 z z))
(.f64 (.f64 (/.f64 z y) 1/2) (*.f64 x -2))
(*.f64 (/.f64 x (/.f64 1 z)) (/.f64 -1 y))
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 z)) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 z)) (/.f64 x (neg.f64 y)))
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(*.f64 (/.f64 -1 (/.f64 1 z)) (/.f64 x y))
(.f64 (/.f64 x (.f64 y (/.f64 2 z))) -2)
(.f64 (/.f64 x (.f64 (/.f64 y z) -2)) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y z) -2)) (+.f64 x x))
(.f64 (/.f64 z (/.f64 (.f64 y -2) x)) 2)
(.f64 (/.f64 1 (/.f64 -4 (/.f64 x y))) (.f64 z 4))
(.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 z y)) 2) 2)
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(*.f64 (+.f64 (/.f64 (/.f64 z y) 2) (/.f64 (/.f64 z y) 2)) (neg.f64 x))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 z y)) 1)
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Outputs
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(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 -1 x)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 -1 z)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 1/2 (.f64 x (/.f64 -2 (/.f64 y z))))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z (neg.f64 y)) x)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (/.f64 z y) 2) (.f64 x -2))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 -1 y) (/.f64 x (/.f64 1 z)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x (.f64 y -2)) (+.f64 z z))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 (/.f64 z y) 1/2) (*.f64 x -2))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (/.f64 1 z)) (/.f64 -1 y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 z)) (/.f64 1 y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 (/.f64 1 z)) (/.f64 x (neg.f64 y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z (/.f64 -1 x)) (/.f64 1 y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 z y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (/.f64 -1 z)) (/.f64 1 y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 (/.f64 -1 z)) (/.f64 x y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 -1 (/.f64 1 z)) (/.f64 x y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x (.f64 y (/.f64 2 z))) -2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x (.f64 (/.f64 y z) -2)) 2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (.f64 (/.f64 y z) -2)) (+.f64 x x))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 z (/.f64 (.f64 y -2) x)) 2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (/.f64 -4 (/.f64 x y))) (.f64 z 4))
(.f64 z (.f64 4 (/.f64 (/.f64 x y) -4)))
(.f64 z (.f64 4 (/.f64 (/.f64 x -4) y)))
(.f64 (.f64 z 4) (/.f64 (/.f64 x -4) y))
(.f64 4 (.f64 z (/.f64 (/.f64 x -4) y)))
(.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 z y)) 2) 2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (.f64 (/.f64 y z) 4)) (*.f64 x -4))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (+.f64 (/.f64 (/.f64 z y) 2) (/.f64 (/.f64 z y) 2)) (neg.f64 x))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 z y)) 1)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))

eval206.0ms (2%)

Compiler: Compiled 4993 to 3035 computations (39.2% saved)

prune257.0ms (2.5%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	351	3	354
Fresh	0	2	2
Picked	0	1	1
Done	1	7	8
Total	352	13	365

Error

Counts

365 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.3b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y))
✓	18.2b	(fabs.f64 (/.f64 (+.f64 4 x) y))
▶	34.4b	(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
▶	45.7b	(fabs.f64 (/.f64 (neg.f64 z) (/.f64 y x)))
✓	45.5b	(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
✓	47.5b	(fabs.f64 (/.f64 x y))
✓	31.9b	(fabs.f64 (/.f64 4 y))
✓	1.8b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
▶	4.4b	(fabs.f64 (.f64 (/.f64 1 y) (/.f64 1 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4))))))
▶	18.2b	(fabs.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))
▶	31.6b	(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))
✓	45.6b	(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
✓	45.5b	(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))

Compiler

Compiled 205 to 152 computations (25.9% saved)

localize754.0ms (7.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 -1 (-.f64 (*.f64 x z) (+.f64 x 4))))
✓	0.5b	(/.f64 -1 (-.f64 (*.f64 x z) (+.f64 x 4)))
✓	4.1b	(.f64 (/.f64 1 y) (/.f64 1 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4)))))

Compiler

Compiled 76 to 47 computations (38.2% saved)

series12.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(.f64 (/.f64 1 y) (/.f64 1 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4)))))
2.0ms	z	@	0	(/.f64 -1 (-.f64 (*.f64 x z) (+.f64 x 4)))
1.0ms	y	@	0	(.f64 (/.f64 1 y) (/.f64 1 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4)))))
1.0ms	y	@	inf	(.f64 (/.f64 1 y) (/.f64 1 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4)))))
1.0ms	z	@	inf	(/.f64 -1 (-.f64 (*.f64 x z) (+.f64 x 4)))

rewrite119.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational.json-simplify-35`
976×	`exponential.json-3`
976×	`rational.json-1`
976×	`rational.json-2`
976×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	119	69
2	283	69
3	658	69
4	2664	69
5	7864	69

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs
(.f64 (/.f64 1 y) (/.f64 1 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4)))))
(/.f64 -1 (-.f64 (*.f64 x z) (+.f64 x 4)))
(/.f64 1 (/.f64 -1 (-.f64 (*.f64 x z) (+.f64 x 4))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 y) (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z))))) (/.f64 (/.f64 1 y) (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (+.f64 y y)) (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 y (-.f64 (*.f64 x z) (+.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 4 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 y (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (*.f64 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z)))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z)))) (*.f64 (+.f64 y y) (/.f64 (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z)))) (+.f64 x (-.f64 4 (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 2 (/.f64 y (-.f64 (*.f64 x z) (+.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 y (neg.f64 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 y (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) 2) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4))) (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4))) (*.f64 y (+.f64 x (-.f64 4 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z))))) (+.f64 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egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (*.f64 x z) (+.f64 x 4))) (*.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (*.f64 x z) (+.f64 x 4))) (*.f64 4 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 y (*.f64 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 x (-.f64 4 (*.f64 x z)))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 x (-.f64 4 (*.f64 x z)))) (/.f64 4 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 x (-.f64 4 (*.f64 x z)))) (neg.f64 (*.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2)) (/.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 x (*.f64 x z)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 4 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 4 (neg.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 4) (neg.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (-.f64 4 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 4 (*.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 x (*.f64 x z)) 5) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x z)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 4 (neg.f64 (*.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z))))) (/.f64 1 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 4) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 x z) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x (*.f64 x z)) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 4 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 x z) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (+.f64 x (-.f64 4 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z)))) (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (+.f64 x (-.f64 4 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4))) (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 (*.f64 x z) (+.f64 x 4))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (+.f64 x (-.f64 4 (*.f64 x z)))) (+.f64 x (-.f64 4 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (+.f64 x (-.f64 4 (*.f64 x z)))) (-.f64 (*.f64 x z) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 4 (-.f64 (*.f64 x z) (+.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 x z) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4))) (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) 2)) (/.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4))) (*.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) 2))))))))

simplify191.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational.json-simplify-35`
1232×	`rational.json-simplify-2`
672×	`rational.json-simplify-51`
608×	`rational.json-simplify-41`
584×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	509	10496
1	1486	9634
2	4199	9068
3	7253	9046

Stop Event

1×	node limit

Counts

280 → 353

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (.f64 (-.f64 z 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 4 x) y)
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
1/4
(+.f64 1/4 (.f64 1/16 (.f64 (-.f64 z 1) x)))
(+.f64 1/4 (+.f64 (.f64 1/16 (.f64 (-.f64 z 1) x)) (.f64 1/64 (.f64 (pow.f64 (-.f64 z 1) 2) (pow.f64 x 2)))))
(+.f64 1/4 (+.f64 (.f64 1/256 (.f64 (pow.f64 (-.f64 z 1) 3) (pow.f64 x 3))) (+.f64 (.f64 1/16 (.f64 (-.f64 z 1) x)) (.f64 1/64 (.f64 (pow.f64 (-.f64 z 1) 2) (pow.f64 x 2))))))
(/.f64 -1 (*.f64 (-.f64 z 1) x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 (-.f64 z 1) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (-.f64 z 1) x))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 (-.f64 z 1) 3) (pow.f64 x 3)))) (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 (-.f64 z 1) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (-.f64 z 1) x)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 (-.f64 z 1) 3) (pow.f64 x 3)))) (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 (-.f64 z 1) 2) (pow.f64 x 2)))) (+.f64 (.f64 64 (/.f64 1 (.f64 (pow.f64 (-.f64 z 1) 4) (pow.f64 x 4)))) (/.f64 1 (*.f64 (-.f64 z 1) x))))))
(/.f64 1 (.f64 (+.f64 (.f64 -1 z) 1) x))
(-.f64 (/.f64 1 (.f64 (+.f64 (.f64 -1 z) 1) x)) (.f64 4 (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 z) 1) 3) (pow.f64 x 3)))) (/.f64 1 (.f64 (+.f64 (.f64 -1 z) 1) x))) (.f64 4 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 z) 1) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 z) 1) 3) (pow.f64 x 3)))) (/.f64 1 (.f64 (+.f64 (.f64 -1 z) 1) x))) (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 z) 1) 2) (pow.f64 x 2)))) (.f64 64 (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 4) (pow.f64 x 4))))))
(/.f64 1 (+.f64 4 x))
(+.f64 (/.f64 1 (+.f64 4 x)) (/.f64 (*.f64 z x) (pow.f64 (+.f64 4 x) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (+.f64 4 x) 3)) (+.f64 (/.f64 1 (+.f64 4 x)) (/.f64 (.f64 z x) (pow.f64 (+.f64 4 x) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (pow.f64 (+.f64 4 x) 3)) (+.f64 (/.f64 1 (+.f64 4 x)) (+.f64 (/.f64 (.f64 z x) (pow.f64 (+.f64 4 x) 2)) (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 x 3)) (pow.f64 (+.f64 4 x) 4)))))
(/.f64 -1 (*.f64 z x))
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(.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (/.f64 1 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (+.f64 x (-.f64 4 (*.f64 x z))))))
(.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z)))) 1)
(.f64 2 (/.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z)))) 2))
(.f64 2 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2))))
(.f64 (/.f64 2 (+.f64 x (-.f64 4 (.f64 x z)))) 1/2)
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z)))) (+.f64 x (-.f64 4 (.f64 x z)))))
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 1 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4)))))
(.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2) (/.f64 1 (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2))))
(.f64 (.f64 2 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z))))) 1/4)
(.f64 (neg.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z))))) -1)
(.f64 (/.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z)))) (+.f64 x (-.f64 4 (.f64 x z)))) (+.f64 x (-.f64 4 (.f64 x z))))
(.f64 (/.f64 -1 (+.f64 x (-.f64 4 (.f64 x z)))) -1)
(.f64 1/2 (/.f64 2 (+.f64 x (-.f64 4 (.f64 x z)))))
(.f64 -1/2 (.f64 2 (/.f64 -1 (+.f64 x (-.f64 4 (*.f64 x z))))))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (.f64 x z) (+.f64 x 4)))) (+.f64 x (-.f64 4 (*.f64 x z))))
(.f64 (/.f64 1 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (+.f64 x (-.f64 4 (.f64 x z))))) (-.f64 (*.f64 x z) (+.f64 x 4)))
(.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4)))) -1)
(.f64 (.f64 2 (/.f64 -1 (+.f64 x (-.f64 4 (*.f64 x z))))) -1/2)
(.f64 1/4 (.f64 2 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z))))))
(.f64 (/.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z)))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2))) (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2))
(.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2))) 2)
(pow.f64 (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z)))) 1)
(neg.f64 (neg.f64 (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z))))))
(neg.f64 (/.f64 -1 (+.f64 x (-.f64 4 (*.f64 x z)))))
(neg.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (.f64 x z) (+.f64 x 4)))))
(+.f64 -1 (+.f64 (-.f64 x (*.f64 x z)) 5))
(+.f64 x (-.f64 4 (*.f64 x z)))
(+.f64 x (+.f64 4 (neg.f64 (*.f64 x z))))
(+.f64 4 (-.f64 x (*.f64 x z)))
(+.f64 (+.f64 x 4) (neg.f64 (*.f64 x z)))
(+.f64 0 (+.f64 x (-.f64 4 (*.f64 x z))))
(+.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 0)
(+.f64 (-.f64 x (*.f64 x z)) 4)
(+.f64 (-.f64 4 (*.f64 x z)) x)
(+.f64 (+.f64 (-.f64 x (*.f64 x z)) 5) -1)
(+.f64 (neg.f64 (*.f64 x z)) (+.f64 x 4))
(+.f64 (+.f64 4 (neg.f64 (*.f64 x z))) x)
(+.f64 (/.f64 1 (/.f64 2 (+.f64 x (-.f64 4 (.f64 x z))))) (/.f64 1 (/.f64 2 (+.f64 x (-.f64 4 (.f64 x z))))))
(-.f64 (+.f64 x 4) (*.f64 x z))
(-.f64 0 (-.f64 (*.f64 x z) (+.f64 x 4)))
(-.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 0)
(-.f64 (+.f64 (-.f64 x (*.f64 x z)) 5) 1)
(.f64 1 (+.f64 x (-.f64 4 (.f64 x z))))
(.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4)))
(.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -1)
(.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (+.f64 x (-.f64 4 (.f64 x z)))))
(.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z)))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4))))
(.f64 2 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) 2))
(.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) 2) -1/2)
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) 1)
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) (+.f64 x (-.f64 4 (.f64 x z)))))
(.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2) 1/2)
(.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z)))))
(.f64 (.f64 4 (-.f64 (*.f64 x z) (+.f64 x 4))) -1/4)
(.f64 1/2 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2))
(.f64 -1/2 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) 2))
(.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) (+.f64 x (-.f64 4 (.f64 x z)))) (+.f64 x (-.f64 4 (.f64 x z))))
(.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (+.f64 x (-.f64 4 (.f64 x z)))) (-.f64 (.f64 x z) (+.f64 x 4)))
(.f64 -1/4 (.f64 4 (-.f64 (*.f64 x z) (+.f64 x 4))))
(.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) 2) 2)
(pow.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 1)
(neg.f64 (-.f64 (*.f64 x z) (+.f64 x 4)))
(neg.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (.f64 x z) (+.f64 x 4))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) 2)) (/.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (.f64 x z) (+.f64 x 4))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) 2))))

Outputs
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 z x) (+.f64 4 x)) y))
(/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) (neg.f64 y))
(/.f64 (+.f64 x (-.f64 4 (*.f64 z x))) y)
(/.f64 4 y)
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) (*.f64 x -1)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) (neg.f64 x)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) (*.f64 x -1)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) (neg.f64 x)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) (*.f64 x -1)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) (neg.f64 x)))
(.f64 -1 (/.f64 (.f64 (-.f64 z 1) x) y))
(.f64 -1 (.f64 x (/.f64 (+.f64 z -1) y)))
(neg.f64 (*.f64 x (/.f64 (+.f64 -1 z) y)))
(*.f64 x (neg.f64 (/.f64 (+.f64 -1 z) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (*.f64 x (/.f64 (+.f64 z -1) y))))
(+.f64 (.f64 4 (/.f64 1 y)) (neg.f64 (.f64 x (/.f64 (+.f64 -1 z) y))))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (neg.f64 (/.f64 (+.f64 -1 z) y))))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (*.f64 x (/.f64 (+.f64 z -1) y))))
(+.f64 (.f64 4 (/.f64 1 y)) (neg.f64 (.f64 x (/.f64 (+.f64 -1 z) y))))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (neg.f64 (/.f64 (+.f64 -1 z) y))))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 -1 (*.f64 x (/.f64 (+.f64 z -1) y))))
(+.f64 (.f64 4 (/.f64 1 y)) (neg.f64 (.f64 x (/.f64 (+.f64 -1 z) y))))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (neg.f64 (/.f64 (+.f64 -1 z) y))))
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(.f64 x (/.f64 (+.f64 1 (.f64 -1 z)) y))
(*.f64 x (/.f64 (+.f64 1 (neg.f64 z)) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (+.f64 1 (*.f64 -1 z)) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (+.f64 1 (neg.f64 z)) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (+.f64 1 (*.f64 -1 z)) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (+.f64 1 (neg.f64 z)) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (+.f64 1 (*.f64 -1 z)) y)))
(+.f64 (.f64 4 (/.f64 1 y)) (.f64 x (/.f64 (+.f64 1 (neg.f64 z)) y)))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 x (neg.f64 (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 x (neg.f64 (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 x (neg.f64 (/.f64 z y))) (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (.f64 x (/.f64 z y)))
(neg.f64 (*.f64 z (/.f64 x y)))
(*.f64 x (neg.f64 (/.f64 z y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 x (neg.f64 (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 x (neg.f64 (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 x (neg.f64 (/.f64 z y))) (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (.f64 x (/.f64 z y)))
(neg.f64 (*.f64 z (/.f64 x y)))
(*.f64 x (neg.f64 (/.f64 z y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 x (neg.f64 (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 x (neg.f64 (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (*.f64 x (/.f64 z y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (.f64 z (/.f64 x y))) (/.f64 x y)))
(+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 x (neg.f64 (/.f64 z y))) (/.f64 x y)))
1/4
(+.f64 1/4 (.f64 1/16 (.f64 (-.f64 z 1) x)))
(+.f64 1/4 (.f64 (+.f64 z -1) (.f64 x 1/16)))
(+.f64 1/4 (.f64 (+.f64 -1 z) (.f64 x 1/16)))
(+.f64 1/4 (+.f64 (.f64 1/16 (.f64 (-.f64 z 1) x)) (.f64 1/64 (.f64 (pow.f64 (-.f64 z 1) 2) (pow.f64 x 2)))))
(+.f64 1/4 (+.f64 (.f64 (+.f64 z -1) (.f64 x 1/16)) (.f64 1/64 (pow.f64 (.f64 x (+.f64 z -1)) 2))))
(+.f64 1/4 (+.f64 (.f64 (+.f64 -1 z) (.f64 x 1/16)) (.f64 1/64 (pow.f64 (.f64 x (+.f64 -1 z)) 2))))
(+.f64 (+.f64 1/4 (.f64 (+.f64 -1 z) (.f64 x 1/16))) (.f64 1/64 (pow.f64 (.f64 x (+.f64 -1 z)) 2)))
(+.f64 1/4 (+.f64 (.f64 1/256 (.f64 (pow.f64 (-.f64 z 1) 3) (pow.f64 x 3))) (+.f64 (.f64 1/16 (.f64 (-.f64 z 1) x)) (.f64 1/64 (.f64 (pow.f64 (-.f64 z 1) 2) (pow.f64 x 2))))))
(+.f64 1/4 (+.f64 (+.f64 (.f64 (+.f64 z -1) (.f64 x 1/16)) (.f64 1/64 (pow.f64 (.f64 x (+.f64 z -1)) 2))) (.f64 1/256 (pow.f64 (.f64 x (+.f64 z -1)) 3))))
(+.f64 1/4 (+.f64 (.f64 1/64 (pow.f64 (.f64 x (+.f64 -1 z)) 2)) (+.f64 (.f64 1/256 (pow.f64 (.f64 x (+.f64 -1 z)) 3)) (.f64 (+.f64 -1 z) (.f64 x 1/16)))))
(+.f64 (+.f64 (+.f64 1/4 (.f64 (+.f64 -1 z) (.f64 x 1/16))) (.f64 1/64 (pow.f64 (.f64 x (+.f64 -1 z)) 2))) (.f64 1/256 (pow.f64 (.f64 x (+.f64 -1 z)) 3)))
(/.f64 -1 (*.f64 (-.f64 z 1) x))
(/.f64 -1 (*.f64 x (+.f64 z -1)))
(/.f64 (/.f64 -1 x) (+.f64 -1 z))
(/.f64 (/.f64 1 (-.f64 1 z)) x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 (-.f64 z 1) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (-.f64 z 1) x))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 (.f64 x (+.f64 z -1)) 2))) (/.f64 1 (*.f64 x (+.f64 z -1)))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 (.f64 x (+.f64 -1 z)) 2))) (/.f64 1 (*.f64 x (+.f64 -1 z)))))
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(.f64 2 (/.f64 1/2 (+.f64 x (-.f64 4 (.f64 z x)))))
(.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2) (/.f64 1 (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2))))
(.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 -2 (/.f64 1 (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 -2 (+.f64 x (-.f64 4 (*.f64 z x))))))))
(.f64 -2 (.f64 (/.f64 (/.f64 -1/2 (-.f64 (.f64 z x) (+.f64 x 4))) (+.f64 x (-.f64 4 (.f64 z x)))) (-.f64 (*.f64 z x) (+.f64 x 4))))
(.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 -2 (/.f64 (/.f64 1/2 (+.f64 x (-.f64 4 (.f64 z x)))) (+.f64 x (-.f64 4 (*.f64 z x))))))
(.f64 (.f64 2 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z))))) 1/4)
(.f64 (/.f64 2 (+.f64 x (-.f64 4 (.f64 z x)))) 1/2)
(.f64 (neg.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z))))) -1)
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(/.f64 -1 (-.f64 (*.f64 z x) (+.f64 x 4)))
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(/.f64 -1 (-.f64 (*.f64 z x) (+.f64 x 4)))
(.f64 1/2 (/.f64 2 (+.f64 x (-.f64 4 (.f64 x z)))))
(.f64 (/.f64 2 (+.f64 x (-.f64 4 (.f64 z x)))) 1/2)
(.f64 -1/2 (.f64 2 (/.f64 -1 (+.f64 x (-.f64 4 (*.f64 x z))))))
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(.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (/.f64 (/.f64 1 (-.f64 (.f64 z x) (+.f64 x 4))) (+.f64 x (-.f64 4 (.f64 z x)))))
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(/.f64 -1 (-.f64 (*.f64 z x) (+.f64 x 4)))
(.f64 1/4 (.f64 2 (/.f64 2 (+.f64 x (-.f64 4 (*.f64 x z))))))
(.f64 (/.f64 2 (+.f64 x (-.f64 4 (.f64 z x)))) 1/2)
(.f64 (/.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z)))) 2) 2)
(+.f64 (/.f64 1 (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) -2)) (/.f64 1 (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) -2)))
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(.f64 -2 (.f64 (/.f64 (/.f64 -1/2 (-.f64 (.f64 z x) (+.f64 x 4))) (+.f64 x (-.f64 4 (.f64 z x)))) (-.f64 (*.f64 z x) (+.f64 x 4))))
(.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 -2 (/.f64 (/.f64 1/2 (+.f64 x (-.f64 4 (.f64 z x)))) (+.f64 x (-.f64 4 (*.f64 z x))))))
(.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (+.f64 x (-.f64 4 (.f64 x z))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -2))) 2)
(.f64 2 (/.f64 (+.f64 x (-.f64 4 (.f64 z x))) (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 -2 (+.f64 x (-.f64 4 (.f64 z x)))))))
(.f64 2 (.f64 (+.f64 x (-.f64 4 (.f64 z x))) (/.f64 (/.f64 -1/2 (-.f64 (.f64 z x) (+.f64 x 4))) (+.f64 x (-.f64 4 (*.f64 z x))))))
(.f64 2 (.f64 (+.f64 x (-.f64 4 (.f64 z x))) (/.f64 (/.f64 1/2 (+.f64 x (-.f64 4 (.f64 z x)))) (+.f64 x (-.f64 4 (*.f64 z x))))))
(pow.f64 (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z)))) 1)
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (+.f64 x (-.f64 4 (*.f64 z x)))))))
(+.f64 -1 (-.f64 1 (/.f64 1 (-.f64 (*.f64 z x) (+.f64 x 4)))))
(/.f64 -1 (-.f64 (*.f64 z x) (+.f64 x 4)))
(neg.f64 (neg.f64 (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z))))))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (+.f64 x (-.f64 4 (*.f64 z x)))))))
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(/.f64 -1 (-.f64 (*.f64 z x) (+.f64 x 4)))
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(/.f64 -1 (-.f64 (*.f64 z x) (+.f64 x 4)))
(neg.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (.f64 x z) (+.f64 x 4)))))
(+.f64 (/.f64 1 (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) -2)) (/.f64 1 (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) -2)))
(+.f64 (/.f64 -1/2 (-.f64 (.f64 z x) (+.f64 x 4))) (/.f64 -1/2 (-.f64 (.f64 z x) (+.f64 x 4))))
(.f64 2 (/.f64 1/2 (+.f64 x (-.f64 4 (.f64 z x)))))
(+.f64 -1 (+.f64 (-.f64 x (*.f64 x z)) 5))
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(+.f64 4 (-.f64 x (*.f64 z x)))
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(+.f64 x (+.f64 4 (neg.f64 (*.f64 x z))))
(+.f64 x (+.f64 4 (neg.f64 (*.f64 z x))))
(+.f64 x (+.f64 4 (*.f64 z (neg.f64 x))))
(+.f64 (+.f64 x 4) (*.f64 z (neg.f64 x)))
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(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(+.f64 (+.f64 x 4) (neg.f64 (*.f64 x z)))
(+.f64 x (+.f64 4 (neg.f64 (*.f64 z x))))
(+.f64 x (+.f64 4 (*.f64 z (neg.f64 x))))
(+.f64 (+.f64 x 4) (*.f64 z (neg.f64 x)))
(+.f64 0 (+.f64 x (-.f64 4 (*.f64 x z))))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(+.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 0)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(+.f64 (-.f64 x (*.f64 x z)) 4)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(+.f64 (-.f64 4 (*.f64 x z)) x)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(+.f64 (+.f64 (-.f64 x (*.f64 x z)) 5) -1)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(+.f64 (neg.f64 (*.f64 x z)) (+.f64 x 4))
(+.f64 x (+.f64 4 (neg.f64 (*.f64 z x))))
(+.f64 x (+.f64 4 (*.f64 z (neg.f64 x))))
(+.f64 (+.f64 x 4) (*.f64 z (neg.f64 x)))
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(+.f64 x (+.f64 4 (*.f64 z (neg.f64 x))))
(+.f64 (+.f64 x 4) (*.f64 z (neg.f64 x)))
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(+.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 z x))) 2) (/.f64 (+.f64 x (-.f64 4 (.f64 z x))) 2))
(+.f64 (.f64 (+.f64 x (-.f64 4 (.f64 z x))) 1/2) (.f64 (+.f64 x (-.f64 4 (.f64 z x))) 1/2))
(-.f64 (+.f64 x 4) (*.f64 x z))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(-.f64 0 (-.f64 (*.f64 x z) (+.f64 x 4)))
(+.f64 4 (-.f64 x (*.f64 z x)))
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(-.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 0)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(-.f64 (+.f64 (-.f64 x (*.f64 x z)) 5) 1)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 1 (+.f64 x (-.f64 4 (.f64 x z))))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4)))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (-.f64 (.f64 x z) (+.f64 x 4)) -1)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (+.f64 x (-.f64 4 (.f64 x z)))))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 x z)))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4))))
(.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 z x)))) (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (-.f64 (*.f64 z x) (+.f64 x 4))))
(.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (/.f64 -1 (-.f64 (*.f64 z x) (+.f64 x 4)))))
(.f64 2 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) 2))
(.f64 2 (/.f64 (+.f64 x (-.f64 4 (.f64 z x))) 2))
(.f64 2 (.f64 (+.f64 x (-.f64 4 (*.f64 z x))) 1/2))
(.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) 2) -1/2)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) 1)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (+.f64 x (-.f64 4 (.f64 x z))) (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) (+.f64 x (-.f64 4 (.f64 x z)))))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2) 1/2)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (.f64 x z) (+.f64 x 4))) (/.f64 1 (+.f64 x (-.f64 4 (*.f64 x z)))))
(.f64 (/.f64 1 (+.f64 x (-.f64 4 (.f64 z x)))) (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (-.f64 (*.f64 z x) (+.f64 x 4))))
(.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (/.f64 -1 (-.f64 (*.f64 z x) (+.f64 x 4)))))
(.f64 (.f64 4 (-.f64 (*.f64 x z) (+.f64 x 4))) -1/4)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 1/2 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -2))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 -1/2 (.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) 2))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) (+.f64 x (-.f64 4 (.f64 x z)))) (+.f64 x (-.f64 4 (.f64 x z))))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (+.f64 x (-.f64 4 (.f64 x z)))) (-.f64 (.f64 x z) (+.f64 x 4)))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 -1/4 (.f64 4 (-.f64 (*.f64 x z) (+.f64 x 4))))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 x z))) 2) 2)
(.f64 2 (/.f64 (+.f64 x (-.f64 4 (.f64 z x))) 2))
(.f64 2 (.f64 (+.f64 x (-.f64 4 (*.f64 z x))) 1/2))
(pow.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 1)
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(neg.f64 (-.f64 (*.f64 x z) (+.f64 x 4)))
(+.f64 4 (-.f64 x (*.f64 z x)))
(+.f64 x (-.f64 4 (*.f64 z x)))
(neg.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (.f64 x z) (+.f64 x 4))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) 2)) (/.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (.f64 x z) (+.f64 x 4))) (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) 2))))
(neg.f64 (+.f64 (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (/.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 2 (-.f64 (.f64 z x) (+.f64 x 4))))) (.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (/.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 2 (-.f64 (.f64 z x) (+.f64 x 4)))))))
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 2 (-.f64 (.f64 z x) (+.f64 x 4)))) (+.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (-.f64 (.f64 z x) (+.f64 x 4)))))
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 z x) (+.f64 x 4)) (.f64 2 (-.f64 (.f64 z x) (+.f64 x 4)))) (.f64 2 (-.f64 (.f64 z x) (+.f64 x 4)))))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.5b	(/.f64 (neg.f64 z) (/.f64 y x))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`rational.json-1`
1898×	`rational.json-2`
1140×	`exponential.json-3`
1140×	`rational.json-4`
1140×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	68	17
2	219	17
3	765	17
4	3348	17
5	7541	17

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(/.f64 (neg.f64 z) (/.f64 y x))

Outputs

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

simplify117.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1584×	`rational.json-simplify-35`
1040×	`rational.json-simplify-43`
1038×	`rational.json-simplify-49`
776×	`rational.json-simplify-2`
758×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	1912
1	294	1716
2	659	1716
3	1916	1716
4	5502	1716
5	7749	1716

Stop Event

1×	node limit

Counts

100 → 69

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (neg.f64 z) (/.f64 x y)))
(+.f64 -1 (-.f64 1 (*.f64 z (/.f64 x y))))
(+.f64 (-.f64 1 (*.f64 z (/.f64 x y))) -1)
(-.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 0)
(-.f64 0 (*.f64 z (/.f64 x y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 (.f64 (neg.f64 z) (/.f64 x y)) 1)
(.f64 1 (.f64 (neg.f64 z) (/.f64 x y)))
(.f64 -1 (.f64 z (/.f64 x y)))
(.f64 (.f64 z -2) (/.f64 (/.f64 x y) 2))
(.f64 (.f64 z -2) (*.f64 (/.f64 x y) 1/2))
(.f64 (.f64 z -2) (*.f64 (/.f64 1 (+.f64 y y)) x))
(.f64 (+.f64 x x) (/.f64 z (.f64 y -2)))
(.f64 2 (/.f64 z (.f64 (/.f64 y x) -2)))
(.f64 2 (/.f64 x (/.f64 (.f64 y -2) z)))
(.f64 2 (/.f64 (.f64 (neg.f64 z) (/.f64 x y)) 2))
(.f64 2 (.f64 (/.f64 (/.f64 x y) 2) (neg.f64 z)))
(.f64 2 (.f64 (/.f64 z (*.f64 y -2)) x))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 -4 (/.f64 z y))))
(.f64 (+.f64 z z) (/.f64 1 (.f64 (/.f64 y x) -2)))
(.f64 (+.f64 z z) (.f64 (/.f64 1 (*.f64 y -2)) x))
(.f64 -2 (/.f64 z (.f64 y (/.f64 2 x))))
(.f64 -2 (.f64 (/.f64 z (+.f64 y y)) x))
(.f64 (.f64 z (/.f64 -2 (/.f64 y x))) 1/2)
(.f64 (.f64 z -4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(.f64 (.f64 z (/.f64 x y)) -1)
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 -1 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (/.f64 z y) (/.f64 1 (/.f64 -1 x)))
(*.f64 (/.f64 z y) (/.f64 -1 (/.f64 1 x)))
(*.f64 (/.f64 z (neg.f64 y)) x)
(*.f64 (/.f64 z (neg.f64 y)) (/.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 1 y) (/.f64 (neg.f64 z) (/.f64 1 x)))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 -1 z)))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 -1 x)))
(.f64 1/2 (.f64 z (/.f64 -2 (/.f64 y x))))
(*.f64 (/.f64 x (neg.f64 y)) z)
(.f64 (/.f64 (/.f64 x y) 2) (.f64 z -2))
(*.f64 (/.f64 -1 y) (/.f64 z (/.f64 1 x)))
(.f64 (/.f64 z (.f64 y -2)) (+.f64 x x))
(.f64 (.f64 (/.f64 x y) 1/2) (*.f64 z -2))
(*.f64 (/.f64 z (/.f64 1 x)) (/.f64 -1 y))
(*.f64 (/.f64 (neg.f64 z) (/.f64 1 x)) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x (/.f64 -1 z)) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 -1 z)) (/.f64 x y))
(*.f64 (/.f64 z (/.f64 -1 x)) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 z y))
(*.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 z y))
(.f64 (/.f64 z (.f64 y (/.f64 2 x))) -2)
(.f64 (/.f64 z (.f64 (/.f64 y x) -2)) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y x) -2)) (+.f64 z z))
(.f64 (/.f64 x (/.f64 (.f64 y -2) z)) 2)
(.f64 (/.f64 1 (/.f64 -4 (/.f64 z y))) (.f64 x 4))
(.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 x y)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y x) 4)) (*.f64 z -4))
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (neg.f64 z))
(pow.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1)
(neg.f64 (*.f64 z (/.f64 x y)))

Outputs
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 0)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 0 (*.f64 (neg.f64 z) (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 -1 (-.f64 1 (*.f64 z (/.f64 x y))))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (-.f64 1 (*.f64 z (/.f64 x y))) -1)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(-.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 0)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(-.f64 0 (*.f64 z (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 z (/.f64 x (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 (neg.f64 z) (/.f64 x y)) 1)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 1 (.f64 (neg.f64 z) (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -1 (.f64 z (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 z -2) (/.f64 (/.f64 x y) 2))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 z -2) (*.f64 (/.f64 x y) 1/2))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 z -2) (*.f64 (/.f64 1 (+.f64 y y)) x))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (+.f64 x x) (/.f64 z (.f64 y -2)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 2 (/.f64 z (.f64 (/.f64 y x) -2)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 2 (/.f64 x (/.f64 (.f64 y -2) z)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 2 (/.f64 (.f64 (neg.f64 z) (/.f64 x y)) 2))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 2 (.f64 (/.f64 (/.f64 x y) 2) (neg.f64 z)))
(.f64 -1 (/.f64 (.f64 z x) y))
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(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 2 (.f64 (/.f64 z (*.f64 y -2)) x))
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(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 -4 (/.f64 z y))))
(.f64 (.f64 x 4) (/.f64 (/.f64 z y) -4))
(.f64 (.f64 x 4) (/.f64 z (*.f64 y -4)))
(.f64 4 (.f64 x (/.f64 z (*.f64 y -4))))
(.f64 (+.f64 z z) (/.f64 1 (.f64 (/.f64 y x) -2)))
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(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (+.f64 z z) (.f64 (/.f64 1 (*.f64 y -2)) x))
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(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -2 (/.f64 z (.f64 y (/.f64 2 x))))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 -2 (.f64 (/.f64 z (+.f64 y y)) x))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 z (/.f64 -2 (/.f64 y x))) 1/2)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 z -4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 z (/.f64 x y)) -1)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 -1 z)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(.f64 -1 (/.f64 (.f64 z x) y))
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(*.f64 (/.f64 z y) (/.f64 1 (/.f64 -1 x)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z y) (/.f64 -1 (/.f64 1 x)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z (neg.f64 y)) x)
(.f64 -1 (/.f64 (.f64 z x) y))
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(*.f64 (/.f64 z (neg.f64 y)) (/.f64 1 (/.f64 1 x)))
(.f64 -1 (/.f64 (.f64 z x) y))
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(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 -1 z)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 -1 x)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 1/2 (.f64 z (/.f64 -2 (/.f64 y x))))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (neg.f64 y)) z)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (/.f64 x y) 2) (.f64 z -2))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 -1 y) (/.f64 z (/.f64 1 x)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 z (.f64 y -2)) (+.f64 x x))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 (/.f64 x y) 1/2) (*.f64 z -2))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z (/.f64 1 x)) (/.f64 -1 y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 z) (/.f64 1 x)) (/.f64 1 y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (/.f64 -1 z)) (/.f64 1 y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 (/.f64 -1 z)) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z (/.f64 -1 x)) (/.f64 1 y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 z y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 z y))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 z (.f64 y (/.f64 2 x))) -2)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 z (.f64 (/.f64 y x) -2)) 2)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (.f64 (/.f64 y x) -2)) (+.f64 z z))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x (/.f64 (.f64 y -2) z)) 2)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (/.f64 -4 (/.f64 z y))) (.f64 x 4))
(.f64 (.f64 x 4) (/.f64 (/.f64 z y) -4))
(.f64 (.f64 x 4) (/.f64 z (*.f64 y -4)))
(.f64 4 (.f64 x (/.f64 z (*.f64 y -4))))
(.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 x y)) 2) 2)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (.f64 (/.f64 y x) 4)) (*.f64 z -4))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(pow.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1)
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(neg.f64 (*.f64 z (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.1b	(*.f64 (-.f64 1 z) (/.f64 x y))

Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`rational.json-1`
1764×	`rational.json-2`
1764×	`rational.json-4`
1764×	`rational.json-3`
1756×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	70	19
2	173	19
3	383	19
4	969	19
5	4521	19

Stop Event

1×	node limit

Counts

1 → 143

Calls

Call 1

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

Outputs

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

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1598×	`rational.json-simplify-35`
1406×	`rational.json-simplify-2`
902×	`rational.json-simplify-61`
778×	`rational.json-simplify-51`
776×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	3761
1	1393	3733
2	5303	3721

Stop Event

1×	node limit

Counts

179 → 165

Calls

Call 1

Inputs
(/.f64 x y)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(+.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (-.f64 1 z) (/.f64 x y)))
(-.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 0)
(/.f64 1 (/.f64 (/.f64 y x) (-.f64 1 z)))
(/.f64 1 (*.f64 (/.f64 (/.f64 y x) (-.f64 1 z)) 1))
(/.f64 (-.f64 1 z) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 1 z)))
(/.f64 x (*.f64 (/.f64 y (-.f64 1 z)) 1))
(/.f64 x (*.f64 -1 (/.f64 y (+.f64 z -1))))
(/.f64 (/.f64 x y) (/.f64 1 (-.f64 1 z)))
(/.f64 (/.f64 x y) (*.f64 (/.f64 1 (-.f64 1 z)) 1))
(/.f64 (/.f64 x y) (*.f64 1/2 (/.f64 2 (-.f64 1 z))))
(/.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)
(/.f64 (+.f64 x x) (*.f64 y (/.f64 2 (-.f64 1 z))))
(/.f64 (+.f64 x x) (+.f64 (/.f64 y (-.f64 1 z)) (/.f64 y (-.f64 1 z))))
(/.f64 (+.f64 x x) (.f64 (.f64 y (/.f64 2 (-.f64 1 z))) 1))
(/.f64 (+.f64 x x) (*.f64 -2 (/.f64 y (+.f64 z -1))))
(/.f64 2 (*.f64 (/.f64 y x) (/.f64 2 (-.f64 1 z))))
(/.f64 2 (+.f64 (/.f64 (/.f64 y x) (-.f64 1 z)) (/.f64 (/.f64 y x) (-.f64 1 z))))
(/.f64 2 (.f64 (.f64 (/.f64 y x) (/.f64 2 (-.f64 1 z))) 1))
(/.f64 (*.f64 (/.f64 x y) 2) (/.f64 2 (-.f64 1 z)))
(/.f64 (*.f64 (/.f64 x y) 2) (+.f64 (/.f64 1 (-.f64 1 z)) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 (/.f64 x y) 2) (.f64 2 (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 (/.f64 x y) 2) (.f64 (/.f64 2 (-.f64 1 z)) 1))
(/.f64 (.f64 x 4) (+.f64 (.f64 y (/.f64 2 (-.f64 1 z))) (*.f64 y (/.f64 2 (-.f64 1 z)))))
(/.f64 (.f64 x 4) (/.f64 (.f64 y 4) (-.f64 1 z)))
(/.f64 (.f64 x 4) (.f64 4 (/.f64 y (-.f64 1 z))))
(/.f64 (.f64 x 4) (.f64 (*.f64 y 4) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 x 4) (.f64 2 (*.f64 y (/.f64 2 (-.f64 1 z)))))
(/.f64 (.f64 x 4) (.f64 (+.f64 y y) (/.f64 2 (-.f64 1 z))))
(/.f64 (.f64 x 4) (.f64 -4 (/.f64 y (+.f64 z -1))))
(/.f64 (*.f64 x 4) (/.f64 4 (/.f64 (-.f64 1 z) y)))
(/.f64 (.f64 (-.f64 1 z) 2) (.f64 y (/.f64 2 x)))
(/.f64 4 (+.f64 (.f64 (/.f64 y x) (/.f64 2 (-.f64 1 z))) (.f64 (/.f64 y x) (/.f64 2 (-.f64 1 z)))))
(/.f64 4 (/.f64 (*.f64 4 (/.f64 y x)) (-.f64 1 z)))
(/.f64 4 (.f64 (.f64 4 (/.f64 y x)) (/.f64 1 (-.f64 1 z))))
(/.f64 4 (.f64 (.f64 y (/.f64 2 x)) (/.f64 2 (-.f64 1 z))))
(/.f64 (.f64 (-.f64 1 z) (.f64 (/.f64 x y) 2)) 2)
(/.f64 (+.f64 z -1) (/.f64 y (neg.f64 x)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (-.f64 1 z)))
(/.f64 (/.f64 1 y) (*.f64 (/.f64 1 x) (/.f64 1 (-.f64 1 z))))
(/.f64 (neg.f64 x) (/.f64 y (+.f64 z -1)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 y (+.f64 z -1)) 1))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (-.f64 1 z) 2)))
(/.f64 (/.f64 y x) (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 1 (-.f64 1 z))))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 x)) (-.f64 1 z)))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 y x)) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 y (/.f64 2 x)) (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 y (/.f64 2 x)) (.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 (-.f64 1 z))))
(/.f64 (.f64 (.f64 (-.f64 1 z) (/.f64 x y)) 4) 4)
(/.f64 (*.f64 (/.f64 x y) 4) (+.f64 (/.f64 2 (-.f64 1 z)) (/.f64 2 (-.f64 1 z))))
(/.f64 (*.f64 (/.f64 x y) 4) (/.f64 4 (-.f64 1 z)))
(/.f64 (.f64 (/.f64 x y) 4) (.f64 4 (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 (/.f64 x y) 4) (.f64 2 (/.f64 2 (-.f64 1 z))))
(/.f64 (.f64 x 8) (/.f64 (.f64 y 8) (-.f64 1 z)))
(/.f64 (.f64 x 8) (.f64 8 (/.f64 y (-.f64 1 z))))
(/.f64 (.f64 x 8) (.f64 (*.f64 y 8) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 x 8) (.f64 4 (*.f64 y (/.f64 2 (-.f64 1 z)))))
(/.f64 (.f64 (-.f64 1 z) 4) (.f64 4 (/.f64 y x)))
(/.f64 (.f64 (-.f64 1 z) 4) (.f64 (*.f64 4 (/.f64 y x)) 1))
(/.f64 (/.f64 (-.f64 1 z) y) (/.f64 1 x))
(/.f64 1/2 (/.f64 (*.f64 y (/.f64 1/2 x)) (-.f64 1 z)))
(/.f64 1/2 (/.f64 (/.f64 y x) (*.f64 (-.f64 1 z) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 z) y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 x) (-.f64 1 z)))
(/.f64 (*.f64 x -2) (+.f64 (/.f64 y (+.f64 z -1)) (/.f64 y (+.f64 z -1))))
(/.f64 (.f64 x -2) (/.f64 (.f64 y -2) (-.f64 1 z)))
(/.f64 (*.f64 x -2) (/.f64 (neg.f64 (+.f64 y y)) (-.f64 1 z)))
(/.f64 (.f64 x -2) (.f64 (*.f64 y -2) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 x -2) (.f64 (neg.f64 (+.f64 y y)) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 x -2) (.f64 (neg.f64 y) (/.f64 2 (-.f64 1 z))))
(/.f64 (.f64 x -2) (.f64 2 (/.f64 y (+.f64 z -1))))
(/.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 (/.f64 x y) 2) (*.f64 (-.f64 1 z) 2)))
(/.f64 (.f64 2 (.f64 (/.f64 x y) 4)) (*.f64 8 (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 2 (.f64 x 8)) (.f64 (.f64 2 (*.f64 y 8)) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 2 (.f64 (-.f64 1 z) 4)) (+.f64 (.f64 4 (/.f64 y x)) (.f64 4 (/.f64 y x))))
(/.f64 (.f64 2 (.f64 (-.f64 1 z) 4)) (*.f64 8 (/.f64 y x)))
(/.f64 (.f64 2 (.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 4)) 8)
(/.f64 (*.f64 (-.f64 1 z) (/.f64 1/2 y)) (/.f64 1/2 x))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (-.f64 1 z)))
(/.f64 (/.f64 x (neg.f64 y)) (*.f64 -1 (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 4 (/.f64 y x)) (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 2 (-.f64 1 z))))
(/.f64 (.f64 x (/.f64 1/2 y)) (/.f64 1 (.f64 (-.f64 1 z) 2)))
(/.f64 (.f64 x (/.f64 1/2 y)) (.f64 1/2 (/.f64 1 (-.f64 1 z))))
(/.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 y x)) 1/2) (*.f64 (/.f64 y x) (/.f64 2 (-.f64 1 z))))
(/.f64 (.f64 (-.f64 1 z) 1/2) (.f64 y (/.f64 1/2 x)))
(/.f64 (.f64 (-.f64 1 z) (.f64 x (/.f64 1/2 y))) 1/2)
(/.f64 (.f64 4 (neg.f64 x)) (.f64 (.f64 2 (.f64 y -2)) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 4 (neg.f64 x)) (.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 4 (neg.f64 x)) (.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 (-.f64 1 z))))
(/.f64 (.f64 4 (neg.f64 x)) (.f64 4 (/.f64 y (+.f64 z -1))))
(/.f64 (neg.f64 (.f64 x -2)) (.f64 y (/.f64 2 (-.f64 1 z))))
(/.f64 (neg.f64 (-.f64 1 z)) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (-.f64 1 z)) (*.f64 (neg.f64 (/.f64 y x)) 1))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 (-.f64 1 z)))
(/.f64 (+.f64 (/.f64 (-.f64 1 z) y) (/.f64 (-.f64 1 z) y)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (-.f64 1 z) (/.f64 x y)) 4)) (.f64 2 (.f64 (.f64 (-.f64 1 z) (/.f64 x y)) 4))) 16)
(/.f64 (+.f64 (neg.f64 (-.f64 1 z)) (neg.f64 (-.f64 1 z))) (+.f64 (neg.f64 (/.f64 y x)) (neg.f64 (/.f64 y x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) 2) y) (/.f64 2 x))
(/.f64 (/.f64 (+.f64 z -1) (/.f64 y x)) -1)
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 z) 4)) (/.f64 y x)) 8)
(/.f64 (/.f64 (*.f64 x 8) (/.f64 y (-.f64 1 z))) 8)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 z))) (/.f64 y x))
(/.f64 (/.f64 x (/.f64 1 (-.f64 1 z))) y)
(/.f64 (/.f64 (+.f64 x x) (/.f64 1 (-.f64 1 z))) (+.f64 y y))
(/.f64 (/.f64 2 (/.f64 1 (-.f64 1 z))) (*.f64 y (/.f64 2 x)))
(/.f64 (/.f64 (.f64 x 4) (/.f64 1 (-.f64 1 z))) (.f64 y 4))
(/.f64 (/.f64 4 (/.f64 1 (-.f64 1 z))) (*.f64 4 (/.f64 y x)))
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 (-.f64 1 z))) (/.f64 1 x))
(/.f64 (/.f64 (neg.f64 x) (/.f64 1 (-.f64 1 z))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 y x) (/.f64 1 (-.f64 1 z))) (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (/.f64 -1 (/.f64 1 (-.f64 1 z))) (neg.f64 (/.f64 y x)))
(/.f64 (/.f64 (.f64 y (/.f64 2 x)) (/.f64 1 (-.f64 1 z))) (.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (/.f64 (.f64 x 8) (/.f64 1 (-.f64 1 z))) (.f64 y 8))
(/.f64 (/.f64 (.f64 x -2) (/.f64 1 (-.f64 1 z))) (.f64 y -2))
(/.f64 (/.f64 (*.f64 x -2) (/.f64 1 (-.f64 1 z))) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 x y) 4)) (/.f64 1 (-.f64 1 z))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 x 8)) (/.f64 1 (-.f64 1 z))) (.f64 2 (.f64 y 8)))
(/.f64 (/.f64 (/.f64 x (neg.f64 y)) (/.f64 1 (-.f64 1 z))) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 x)) (/.f64 1 (-.f64 1 z))) (.f64 2 (*.f64 y -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 x)) (/.f64 1 (-.f64 1 z))) (.f64 2 (neg.f64 (+.f64 y y))))
(/.f64 (/.f64 (.f64 4 (neg.f64 x)) (/.f64 1 (-.f64 1 z))) (neg.f64 (.f64 y 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 x -2)) (/.f64 1 (-.f64 1 z))) (+.f64 y y))
(/.f64 (/.f64 1 (/.f64 2 (-.f64 1 z))) (*.f64 y (/.f64 1/2 x)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 2 (-.f64 1 z))) y)
(/.f64 (/.f64 2 (/.f64 2 (-.f64 1 z))) (/.f64 y x))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 2 (-.f64 1 z))) (+.f64 y y))
(/.f64 (/.f64 4 (/.f64 2 (-.f64 1 z))) (*.f64 y (/.f64 2 x)))
(/.f64 (/.f64 (.f64 y (/.f64 2 x)) (/.f64 2 (-.f64 1 z))) (.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (/.f64 (*.f64 x -2) (/.f64 2 (-.f64 1 z))) (neg.f64 y))
(/.f64 (/.f64 (.f64 4 (/.f64 y x)) (/.f64 2 (-.f64 1 z))) (.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 y x)) 1/2) (/.f64 2 (-.f64 1 z))) (/.f64 y x))
(/.f64 (/.f64 x (/.f64 y (+.f64 z -1))) -1)
(/.f64 (/.f64 (+.f64 x x) (/.f64 y (+.f64 z -1))) -2)
(/.f64 (/.f64 (*.f64 x 4) (/.f64 y (+.f64 z -1))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 x)) (/.f64 y (+.f64 z -1))) 4)
(/.f64 (/.f64 (-.f64 1 z) (/.f64 1 x)) y)
(/.f64 (/.f64 (-.f64 1 z) 1/2) (*.f64 y (/.f64 2 x)))
(/.f64 (/.f64 (-.f64 1 z) (neg.f64 y)) (/.f64 -1 x))
(/.f64 (neg.f64 (.f64 (-.f64 1 z) 2)) (-.f64 0 (.f64 y (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 z) y)) (-.f64 0 (/.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 1 z))) (/.f64 y x))
(pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)

Outputs
(/.f64 x y)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (.f64 x (/.f64 z y))))
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(+.f64 (/.f64 x y) (neg.f64 (*.f64 x (/.f64 z y))))
(+.f64 (/.f64 x y) (*.f64 x (neg.f64 (/.f64 z y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (.f64 x (/.f64 z y))))
(+.f64 (/.f64 x y) (neg.f64 (*.f64 x (/.f64 z y))))
(+.f64 (/.f64 x y) (*.f64 x (neg.f64 (/.f64 z y))))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (.f64 x (/.f64 z y)))
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(*.f64 x (neg.f64 (/.f64 z y)))
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(+.f64 (/.f64 x y) (.f64 -1 (.f64 x (/.f64 z y))))
(+.f64 (/.f64 x y) (neg.f64 (*.f64 x (/.f64 z y))))
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(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (.f64 x (/.f64 z y)))
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(/.f64 (*.f64 (-.f64 1 z) x) y)
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(/.f64 (+.f64 x x) (.f64 (.f64 y (/.f64 2 (-.f64 1 z))) 1))
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(/.f64 (.f64 (-.f64 1 z) (.f64 (/.f64 x y) 2)) 2)
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(/.f64 (+.f64 z -1) (/.f64 y (neg.f64 x)))
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(/.f64 (neg.f64 x) (*.f64 (/.f64 y (+.f64 z -1)) 1))
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(/.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (-.f64 1 z) 2)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 y x) (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 x)) (-.f64 1 z)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 y x)) (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 y (/.f64 2 x)) (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 1 (-.f64 1 z))))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 1 (.f64 y (/.f64 2 x)))) (.f64 (/.f64 y x) (*.f64 (/.f64 y x) 2)))
(/.f64 (-.f64 1 z) (.f64 (/.f64 1 (.f64 y (/.f64 2 x))) (.f64 (/.f64 y x) (.f64 (/.f64 y x) 2))))
(.f64 y (/.f64 (/.f64 2 x) (.f64 2 (*.f64 (/.f64 y x) (/.f64 (/.f64 y x) (-.f64 1 z))))))
(/.f64 (.f64 y (/.f64 2 x)) (.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 (-.f64 1 z))))
(.f64 (/.f64 2 x) (/.f64 y (.f64 (/.f64 2 (-.f64 1 z)) (*.f64 (/.f64 y x) (/.f64 y x)))))
(.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 -1 z) (/.f64 -2 y)) (.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (.f64 (.f64 (-.f64 1 z) (/.f64 x y)) 4) 4)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (*.f64 (/.f64 x y) 4) (+.f64 (/.f64 2 (-.f64 1 z)) (/.f64 2 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (*.f64 (/.f64 x y) 4) (/.f64 4 (-.f64 1 z)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 (/.f64 x y) 4) (.f64 4 (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 (/.f64 x y) 4) (.f64 2 (/.f64 2 (-.f64 1 z))))
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(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 x 8) (.f64 8 (/.f64 y (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 x 8) (.f64 (*.f64 y 8) (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 x 8) (.f64 4 (*.f64 y (/.f64 2 (-.f64 1 z)))))
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(*.f64 x (/.f64 (-.f64 1 z) y))
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(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 1/2 (/.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 z) y)))
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(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 x) (-.f64 1 z)))
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(/.f64 (.f64 x -2) (.f64 (neg.f64 y) (/.f64 2 (-.f64 1 z))))
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(/.f64 (.f64 x -2) (.f64 2 (/.f64 y (+.f64 z -1))))
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(/.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 (/.f64 x y) 2) (*.f64 (-.f64 1 z) 2)))
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(/.f64 (.f64 2 (.f64 (/.f64 x y) 4)) (*.f64 8 (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 2 (.f64 x 8)) (.f64 (.f64 2 (*.f64 y 8)) (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
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(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 2 (.f64 (-.f64 1 z) 4)) (*.f64 8 (/.f64 y x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 2 (.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 4)) 8)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (*.f64 (-.f64 1 z) (/.f64 1/2 y)) (/.f64 1/2 x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (-.f64 1 z)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 x (neg.f64 y)) (*.f64 -1 (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 4 (/.f64 y x)) (.f64 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 2 (-.f64 1 z))))
(/.f64 (.f64 (/.f64 y x) (/.f64 (-.f64 1 z) 1/2)) (.f64 (/.f64 y x) (*.f64 (/.f64 y x) 2)))
(.f64 (/.f64 y x) (/.f64 (/.f64 (-.f64 1 z) 1/2) (.f64 (/.f64 y x) (*.f64 (/.f64 y x) 2))))
(.f64 (/.f64 y x) (/.f64 (.f64 (-.f64 1 z) 2) (.f64 (/.f64 y x) (.f64 (/.f64 y x) 2))))
(/.f64 (.f64 x (/.f64 1/2 y)) (/.f64 1 (.f64 (-.f64 1 z) 2)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 x (/.f64 1/2 y)) (.f64 1/2 (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 y x)) 1/2) (*.f64 (/.f64 y x) (/.f64 2 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 (-.f64 1 z) 1/2) (.f64 y (/.f64 1/2 x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 (-.f64 1 z) (.f64 x (/.f64 1/2 y))) 1/2)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 4 (neg.f64 x)) (.f64 (.f64 2 (.f64 y -2)) (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 4 (neg.f64 x)) (.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 4 (neg.f64 x)) (.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (.f64 4 (neg.f64 x)) (.f64 4 (/.f64 y (+.f64 z -1))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (neg.f64 (.f64 x -2)) (.f64 y (/.f64 2 (-.f64 1 z))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (neg.f64 (-.f64 1 z)) (neg.f64 (/.f64 y x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (neg.f64 (-.f64 1 z)) (*.f64 (neg.f64 (/.f64 y x)) 1))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 (-.f64 1 z)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (+.f64 (/.f64 (-.f64 1 z) y) (/.f64 (-.f64 1 z) y)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (-.f64 1 z) (/.f64 x y)) 4)) (.f64 2 (.f64 (.f64 (-.f64 1 z) (/.f64 x y)) 4))) 16)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (+.f64 (neg.f64 (-.f64 1 z)) (neg.f64 (-.f64 1 z))) (+.f64 (neg.f64 (/.f64 y x)) (neg.f64 (/.f64 y x))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (*.f64 (-.f64 1 z) 2) y) (/.f64 2 x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (+.f64 z -1) (/.f64 y x)) -1)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 1 z) 4)) (/.f64 y x)) 8)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (*.f64 x 8) (/.f64 y (-.f64 1 z))) 8)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 z))) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 x (/.f64 1 (-.f64 1 z))) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1 (-.f64 1 z))) (+.f64 y y))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 2 (/.f64 1 (-.f64 1 z))) (*.f64 y (/.f64 2 x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 x 4) (/.f64 1 (-.f64 1 z))) (.f64 y 4))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 4 (/.f64 1 (-.f64 1 z))) (*.f64 4 (/.f64 y x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 (-.f64 1 z))) (/.f64 1 x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (neg.f64 x) (/.f64 1 (-.f64 1 z))) (neg.f64 y))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (/.f64 y x) (/.f64 1 (-.f64 1 z))) (*.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 -1 (/.f64 1 (-.f64 1 z))) (neg.f64 (/.f64 y x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 y (/.f64 2 x)) (/.f64 1 (-.f64 1 z))) (.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 1 (.f64 y (/.f64 2 x)))) (.f64 (/.f64 y x) (*.f64 (/.f64 y x) 2)))
(/.f64 (-.f64 1 z) (.f64 (/.f64 1 (.f64 y (/.f64 2 x))) (.f64 (/.f64 y x) (.f64 (/.f64 y x) 2))))
(.f64 y (/.f64 (/.f64 2 x) (.f64 2 (*.f64 (/.f64 y x) (/.f64 (/.f64 y x) (-.f64 1 z))))))
(/.f64 (/.f64 (.f64 x 8) (/.f64 1 (-.f64 1 z))) (.f64 y 8))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 x -2) (/.f64 1 (-.f64 1 z))) (.f64 y -2))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (*.f64 x -2) (/.f64 1 (-.f64 1 z))) (neg.f64 (+.f64 y y)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 x y) 4)) (/.f64 1 (-.f64 1 z))) 8)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 2 (.f64 x 8)) (/.f64 1 (-.f64 1 z))) (.f64 2 (.f64 y 8)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (/.f64 x (neg.f64 y)) (/.f64 1 (-.f64 1 z))) -1)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 4 (neg.f64 x)) (/.f64 1 (-.f64 1 z))) (.f64 2 (*.f64 y -2)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 4 (neg.f64 x)) (/.f64 1 (-.f64 1 z))) (.f64 2 (neg.f64 (+.f64 y y))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 4 (neg.f64 x)) (/.f64 1 (-.f64 1 z))) (neg.f64 (.f64 y 4)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (neg.f64 (*.f64 x -2)) (/.f64 1 (-.f64 1 z))) (+.f64 y y))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 1 (/.f64 2 (-.f64 1 z))) (*.f64 y (/.f64 1/2 x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (+.f64 x x) (/.f64 2 (-.f64 1 z))) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 2 (/.f64 2 (-.f64 1 z))) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 2 (-.f64 1 z))) (+.f64 y y))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 4 (/.f64 2 (-.f64 1 z))) (*.f64 y (/.f64 2 x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 y (/.f64 2 x)) (/.f64 2 (-.f64 1 z))) (.f64 (/.f64 y x) (/.f64 y x)))
(.f64 (/.f64 2 x) (/.f64 y (.f64 (/.f64 2 (-.f64 1 z)) (*.f64 (/.f64 y x) (/.f64 y x)))))
(.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 -1 z) (/.f64 -2 y)) (.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (/.f64 (*.f64 x -2) (/.f64 2 (-.f64 1 z))) (neg.f64 y))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (.f64 4 (/.f64 y x)) (/.f64 2 (-.f64 1 z))) (.f64 2 (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (.f64 (/.f64 y x) (/.f64 (-.f64 1 z) 1/2)) (.f64 (/.f64 y x) (*.f64 (/.f64 y x) 2)))
(.f64 (/.f64 y x) (/.f64 (/.f64 (-.f64 1 z) 1/2) (.f64 (/.f64 y x) (*.f64 (/.f64 y x) 2))))
(.f64 (/.f64 y x) (/.f64 (.f64 (-.f64 1 z) 2) (.f64 (/.f64 y x) (.f64 (/.f64 y x) 2))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 y x)) 1/2) (/.f64 2 (-.f64 1 z))) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 x (/.f64 y (+.f64 z -1))) -1)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (+.f64 x x) (/.f64 y (+.f64 z -1))) -2)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 y (+.f64 z -1))) -4)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (*.f64 4 (neg.f64 x)) (/.f64 y (+.f64 z -1))) 4)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (-.f64 1 z) (/.f64 1 x)) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (-.f64 1 z) 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (/.f64 (-.f64 1 z) (neg.f64 y)) (/.f64 -1 x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (neg.f64 (.f64 (-.f64 1 z) 2)) (-.f64 0 (.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (neg.f64 (/.f64 (-.f64 1 z) y)) (-.f64 0 (/.f64 1 x)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(/.f64 (neg.f64 (neg.f64 (-.f64 1 z))) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)
(*.f64 x (/.f64 (-.f64 1 z) y))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 1 y) (+.f64 4 x))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 1 y) (+.f64 4 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 y) (+.f64 4 x))
0.0ms	x	@	inf	(*.f64 (/.f64 1 y) (+.f64 4 x))
0.0ms	x	@	0	(*.f64 (/.f64 1 y) (+.f64 4 x))
0.0ms	y	@	inf	(*.f64 (/.f64 1 y) (+.f64 4 x))

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`rational.json-1`
1482×	`rational.json-2`
1482×	`rational.json-4`
1482×	`rational.json-3`
1464×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	71	13
2	159	13
3	314	13
4	716	13
5	2260	13
6	5829	13

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

Inputs
(*.f64 (/.f64 1 y) (+.f64 4 x))

Outputs

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

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1486×	`rational.json-simplify-2`
1428×	`rational.json-simplify-35`
1408×	`rational.json-simplify-61`
1042×	`rational.json-simplify-46`
946×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	1340
1	553	1340
2	1599	1334
3	5643	1322

Stop Event

1×	node limit

Counts

92 → 75

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 z) x)
✓	4.1b	(/.f64 (*.f64 (-.f64 1 z) x) y)

Compiler

Compiled 30 to 18 computations (40% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

15 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1878×	`rational.json-simplify-35`
1292×	`rational.json-1`
1292×	`rational.json-2`
1292×	`rational.json-4`
1292×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	72	32
2	193	32
3	487	32
4	1473	32
5	3918	32

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

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

simplify409.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1070×	`rational.json-simplify-43`
904×	`rational.json-simplify-41`
734×	`rational.json-simplify-51`
724×	`rational.json-simplify-2`
708×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	186	2105
1	435	2061
2	923	2061
3	2213	2061
4	5237	2061
5	6692	2061
6	7360	2061

Stop Event

1×	node limit

Counts

113 → 110

Calls

Call 1

Inputs
(/.f64 x y)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (-.f64 1 z) (/.f64 x y)))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 x (+.f64 z -1)) y)))
(+.f64 (.f64 (/.f64 1/2 y) (.f64 (-.f64 1 z) x)) (.f64 (/.f64 1/2 y) (.f64 (-.f64 1 z) x)))
(-.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 0)
(-.f64 0 (/.f64 (*.f64 x (+.f64 z -1)) y))
(.f64 1 (.f64 (-.f64 1 z) (/.f64 x y)))
(*.f64 (-.f64 1 z) (/.f64 x y))
(.f64 (-.f64 1 z) (.f64 (*.f64 x (/.f64 2 y)) 1/2))
(.f64 (-.f64 1 z) (.f64 (.f64 2 (/.f64 1 y)) (.f64 x 1/2)))
(.f64 (-.f64 1 z) (.f64 (/.f64 2 y) (*.f64 x 1/2)))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 x (.f64 1/2 (*.f64 (-.f64 1 z) (/.f64 2 y))))
(.f64 x (.f64 (*.f64 (-.f64 1 z) (/.f64 2 y)) 1/2))
(.f64 x (.f64 (/.f64 2 y) (*.f64 (-.f64 1 z) 1/2)))
(.f64 (.f64 (-.f64 1 z) x) (/.f64 1 y))
(.f64 (.f64 (-.f64 1 z) x) (.f64 (.f64 2 (/.f64 1 y)) 1/2))
(.f64 (.f64 (-.f64 1 z) x) (*.f64 (/.f64 2 y) 1/2))
(.f64 (.f64 (-.f64 1 z) (/.f64 x y)) 1)
(.f64 (.f64 (-.f64 1 z) (+.f64 x x)) (/.f64 1/2 y))
(.f64 (.f64 (-.f64 1 z) (+.f64 x x)) (*.f64 (/.f64 1 y) 1/2))
(.f64 (.f64 (-.f64 1 z) (+.f64 x x)) (.f64 (.f64 (/.f64 1 y) 1/2) 1))
(*.f64 (/.f64 (-.f64 1 z) y) x)
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(.f64 -1 (.f64 (/.f64 (*.f64 x (+.f64 z -1)) y) 1))
(.f64 -1 (.f64 (/.f64 (+.f64 z -1) y) x))
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(.f64 (/.f64 -1 y) (.f64 x (+.f64 z -1)))
(.f64 (/.f64 1 (.f64 y 4)) (.f64 (-.f64 1 z) (.f64 x 4)))
(pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)
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(/.f64 (*.f64 x (+.f64 z -1)) -1)
(/.f64 (.f64 (.f64 (-.f64 1 z) x) 8) 8)
(/.f64 (.f64 x (.f64 (-.f64 1 z) -2)) -2)
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(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 z) x) 8))) 32)
(pow.f64 (*.f64 (-.f64 1 z) x) 1)
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Outputs
(/.f64 x y)
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(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (.f64 x (+.f64 z -1)) (/.f64 -1 y))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (.f64 x (+.f64 z -1)) (*.f64 (/.f64 -1 y) 1))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 -1 (/.f64 (.f64 x (+.f64 z -1)) y))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 -1 (.f64 (/.f64 (*.f64 x (+.f64 z -1)) y) 1))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 -1 (.f64 (/.f64 (+.f64 z -1) y) x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 (-.f64 1 z) 1/2))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (.f64 (-.f64 1 z) (/.f64 2 y)) (*.f64 x 1/2))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 1/2 (.f64 (-.f64 1 z) (*.f64 x (/.f64 2 y))))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 1 z) (+.f64 x x)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (/.f64 (-.f64 1 z) (+.f64 y y)) (+.f64 x x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (/.f64 x (+.f64 y y)) (.f64 (-.f64 1 z) 2))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (.f64 (-.f64 1 z) 1/2) (*.f64 x (/.f64 2 y)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (.f64 x 1/2) (*.f64 (-.f64 1 z) (/.f64 2 y)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (-.f64 1 z) (+.f64 x x)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (/.f64 (.f64 x (+.f64 z -1)) y) -1)
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (.f64 (/.f64 1/2 y) (*.f64 (-.f64 1 z) x)) 2)
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (/.f64 -1 y) (.f64 x (+.f64 z -1)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(.f64 (/.f64 1 (.f64 y 4)) (.f64 (-.f64 1 z) (.f64 x 4)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(pow.f64 (*.f64 (-.f64 1 z) (/.f64 x y)) 1)
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(neg.f64 (/.f64 (*.f64 x (+.f64 z -1)) y))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 (-.f64 1 z) x) 0)
(*.f64 x (-.f64 1 z))
(+.f64 0 (*.f64 (-.f64 1 z) x))
(*.f64 x (-.f64 1 z))
(+.f64 -1 (-.f64 1 (*.f64 x (+.f64 z -1))))
(*.f64 x (-.f64 1 z))
(+.f64 (/.f64 (.f64 (-.f64 1 z) x) 2) (/.f64 (.f64 (-.f64 1 z) x) 2))
(*.f64 x (-.f64 1 z))
(+.f64 (-.f64 1 (*.f64 x (+.f64 z -1))) -1)
(*.f64 x (-.f64 1 z))
(-.f64 (*.f64 (-.f64 1 z) x) 0)
(*.f64 x (-.f64 1 z))
(-.f64 0 (*.f64 x (+.f64 z -1)))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) 1)
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) (+.f64 x x)) 2)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (.f64 x 4)) 4)
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 x (+.f64 z -1)) -1)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (.f64 (-.f64 1 z) x) 8) 8)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 x (.f64 (-.f64 1 z) -2)) -2)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 2 (.f64 (*.f64 (-.f64 1 z) x) 8)) 16)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 2 (.f64 x (*.f64 (-.f64 1 z) -2))) -4)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 z) x) 8))) 32)
(*.f64 x (-.f64 1 z))
(pow.f64 (*.f64 (-.f64 1 z) x) 1)
(*.f64 x (-.f64 1 z))
(neg.f64 (*.f64 x (+.f64 z -1)))
(*.f64 x (-.f64 1 z))

eval224.0ms (2.2%)

Compiler: Compiled 13263 to 8879 computations (33.1% saved)

prune167.0ms (1.6%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	770	2	772
Fresh	0	0	0
Picked	0	1	1
Done	2	10	12
Total	772	13	785

Error

Counts

785 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.3b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y))
✓	18.2b	(fabs.f64 (/.f64 (+.f64 4 x) y))
✓	34.4b	(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
	48.4b	(fabs.f64 (/.f64 (*.f64 x (neg.f64 z)) y))
✓	45.7b	(fabs.f64 (/.f64 (neg.f64 z) (/.f64 y x)))
✓	45.5b	(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
✓	47.5b	(fabs.f64 (/.f64 x y))
✓	31.9b	(fabs.f64 (/.f64 4 y))
	4.4b	(fabs.f64 (/.f64 1 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))))
✓	18.2b	(fabs.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))
✓	31.6b	(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))
✓	45.6b	(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
✓	45.5b	(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))

Compiler

Compiled 134 to 98 computations (26.9% saved)

regimes105.0ms (1%)

Counts

20 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (/.f64 (neg.f64 z) (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 x (neg.f64 z)) y))
(fabs.f64 (.f64 -1 (/.f64 (.f64 z x) y)))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
(fabs.f64 (/.f64 1 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))))
(fabs.f64 (.f64 (/.f64 1 y) (/.f64 1 (/.f64 -1 (-.f64 (.f64 x z) (+.f64 x 4))))))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Calls

5 calls:

27.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
26.0ms	x
19.0ms	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
19.0ms	y
9.0ms	z

Results

Error	Segments	Branch
0.1b	3	`x`
0.6b	2	`y`
1.8b	1	`z`
0.1b	2	`(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))`
0.1b	3	`(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))`

Compiler

Compiled 217 to 127 computations (41.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0992971672113307e+74	1.528462616768381e+79
0.0ms	-2.390767850836344e+72	-5.746185645579512e+66

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes89.0ms (0.9%)

Counts

16 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (/.f64 (neg.f64 z) (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 x (neg.f64 z)) y))
(fabs.f64 (.f64 -1 (/.f64 (.f64 z x) y)))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y))

Outputs
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))

Calls

3 calls:

69.0ms	x
9.0ms	z
8.0ms	y

Results

Error	Segments	Branch
0.1b	3	`x`
4.3b	1	`y`
4.3b	1	`z`

Compiler

Compiled 136 to 78 computations (42.6% saved)

bsearch97.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
88.0ms	1.2139631592505217e-10	4248.724745943024
9.0ms	-7.3351757088388515e+112	-2.772309633945731e+91

Results

23.0ms	224×	body	256	valid
4.0ms	35×	body	256	infinite

Compiler

Compiled 393 to 277 computations (29.5% saved)

regimes330.0ms (3.2%)

Counts

14 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (/.f64 (neg.f64 z) (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 x (neg.f64 z)) y))
(fabs.f64 (.f64 -1 (/.f64 (.f64 z x) y)))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))

Outputs
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))

Calls

3 calls:

221.0ms	y
64.0ms	x
42.0ms	z

Results

Error	Segments	Branch
8.9b	3	`x`
15.1b	5	`y`
9.5b	5	`z`

Compiler

Compiled 116 to 68 computations (41.4% saved)

bsearch105.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	1.304142116281865e-13	1.6403996741328534e-12
93.0ms	-3.1832481505668174e-18	-3.5055368472227526e-19

Results

101.0ms	192×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 321 to 237 computations (26.2% saved)

regimes305.0ms (2.9%)

Counts

13 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (/.f64 (neg.f64 z) (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 x (neg.f64 z)) y))
(fabs.f64 (.f64 -1 (/.f64 (.f64 z x) y)))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
(fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)))

Outputs
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 1 y) (+.f64 4 x)))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))

Calls

3 calls:

152.0ms	z
130.0ms	y
20.0ms	x

Results

Error	Segments	Branch
8.9b	3	`x`
15.1b	5	`y`
9.5b	5	`z`

Compiler

Compiled 106 to 65 computations (38.7% saved)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.304142116281865e-13	1.6403996741328534e-12
13.0ms	-3.1832481505668174e-18	-3.5055368472227526e-19

Results

21.0ms	192×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 309 to 243 computations (21.4% saved)

regimes253.0ms (2.4%)

Counts

10 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (/.f64 (neg.f64 z) (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 x (neg.f64 z)) y))
(fabs.f64 (.f64 -1 (/.f64 (.f64 z x) y)))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))

Outputs
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))

Calls

3 calls:

95.0ms	z
93.0ms	y
61.0ms	x

Results

Error	Segments	Branch
8.9b	3	`x`
15.1b	5	`y`
9.5b	5	`z`

Compiler

Compiled 80 to 48 computations (40% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	1.304142116281865e-13	1.6403996741328534e-12
12.0ms	-3.1832481505668174e-18	-3.5055368472227526e-19

Results

20.0ms	192×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 285 to 219 computations (23.2% saved)

regimes130.0ms (1.3%)

Counts

9 → 5

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (/.f64 (neg.f64 z) (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 x (neg.f64 z)) y))
(fabs.f64 (.f64 -1 (/.f64 (.f64 z x) y)))

Outputs
(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z)))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))

Calls

3 calls:

95.0ms	z
17.0ms	y
15.0ms	x

Results

Error	Segments	Branch
17.0b	3	`x`
16.9b	3	`y`
9.5b	5	`z`

Compiler

Compiled 72 to 44 computations (38.9% saved)

bsearch121.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	1.3835309516972351e+132	9.888003292928627e+132
65.0ms	-1.5302464079013767e+54	-3.8471499530726553e+49
21.0ms	-5.589740518578699e+85	-1.0446774706610743e+73
21.0ms	-7.031921660087842e+115	-3.8532092425192353e+96

Results

111.0ms	544×	body	256	valid
4.0ms	34×	body	256	infinite

Compiler

Compiled 735 to 559 computations (23.9% saved)

regimes92.0ms (0.9%)

Counts

5 → 5

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))

Outputs
(fabs.f64 (*.f64 z (/.f64 x (neg.f64 y))))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))

Calls

3 calls:

68.0ms	z
12.0ms	y
11.0ms	x

Results

Error	Segments	Branch
17.0b	3	`x`
16.9b	3	`y`
9.6b	5	`z`

Compiler

Compiled 43 to 29 computations (32.6% saved)

bsearch127.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
64.0ms	1.3835309516972351e+132	9.888003292928627e+132
17.0ms	-1.5302464079013767e+54	-3.8471499530726553e+49
25.0ms	-5.589740518578699e+85	-1.0446774706610743e+73
20.0ms	-7.031921660087842e+115	-3.8532092425192353e+96

Results

65.0ms	544×	body	256	valid
3.0ms	33×	body	256	infinite

Compiler

Compiled 735 to 559 computations (23.9% saved)

regimes138.0ms (1.3%)

Counts

4 → 5

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))

Outputs
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))

Calls

3 calls:

105.0ms	y
20.0ms	z
11.0ms	x

Results

Error	Segments	Branch
17.0b	3	`x`
16.9b	3	`y`
9.7b	5	`z`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch76.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	1.3835309516972351e+132	9.888003292928627e+132
15.0ms	-1.5302464079013767e+54	-3.8471499530726553e+49
25.0ms	-5.589740518578699e+85	-1.0446774706610743e+73
21.0ms	-7.031921660087842e+115	-3.8532092425192353e+96

Results

66.0ms	544×	body	256	valid
3.0ms	27×	body	256	infinite

Compiler

Compiled 735 to 559 computations (23.9% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (+.f64 4 x) y))

Outputs
(fabs.f64 (/.f64 (+.f64 4 x) y))

Calls

3 calls:

5.0ms	y
3.0ms	x
3.0ms	z

Results

Error	Segments	Branch
18.2b	1	`x`
18.2b	1	`y`
18.2b	1	`z`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes40.0ms (0.4%)

Accuracy

Total -42.2b remaining (-226.7%)

Threshold costs -42.2b (-226.7%)

Counts

2 → 3

Calls

Call 1

Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))

Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))

Calls

3 calls:

17.0ms	y
13.0ms	z
9.0ms	x

Results

Error	Segments	Branch
18.6b	3	`x`
29.6b	5	`y`
29.3b	5	`z`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.2139631592505217e-10	4248.724745943024
18.0ms	-49393.10810018913	-0.0007290446408757623

Results

33.0ms	304×	body	256	valid
2.0ms	15×	body	256	infinite

Compiler

Compiled 325 to 262 computations (19.4% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1015

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) -1999999999999999887603621897589142048114448258041101063088247784112914432) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) 199999999999999990329637623605584395770392181606026710334413639527300071424) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (.f64 z x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544) (fabs.f64 (-.f64 (/.f64 x y) (.f64 (/.f64 x y) z))) (if (<=.f64 x 4200) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (.f64 z x)) y)) (fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))
(if (<=.f64 x -7269215601948759/2596148429267413814265248164610048) (fabs.f64 (-.f64 (/.f64 x y) (.f64 (/.f64 x y) z))) (if (<=.f64 x 3961408125713217/2475880078570760549798248448) (fabs.f64 (.f64 (/.f64 1 y) (+.f64 4 x))) (fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))
(if (<=.f64 x -6230756230241793/2596148429267413814265248164610048) (fabs.f64 (.f64 (-.f64 1 z) (/.f64 x y))) (if (<=.f64 x 3961408125713217/2475880078570760549798248448) (fabs.f64 (.f64 (/.f64 1 y) (+.f64 4 x))) (fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))
(if (<=.f64 x -8048060130728983/2596148429267413814265248164610048) (fabs.f64 (.f64 (-.f64 1 z) (/.f64 x y))) (if (<=.f64 x 7724745845140773/19807040628566084398385987584) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (.f64 (-.f64 1 z) (/.f64 x y)))))
(if (<=.f64 z -80000000000000005886069907816899987180608497217419654393966863210814073150417521616405437249224704) (fabs.f64 (.f64 z (/.f64 x (neg.f64 y)))) (if (<=.f64 z -115000000000000002005206813200069618603975780427201536442134812831809058772090880) (fabs.f64 (/.f64 (+.f64 4 x) y)) (if (<=.f64 z -2800000000000000047480056077458351979283136651460608) (fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z))) (if (<=.f64 z 5999999999999999629761354843011825683887332298745999031266639195382441566407250583240483431941564530903483479975654769896912851042304) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (.f64 x (/.f64 (neg.f64 z) y)))))))
(if (<=.f64 z -90000000000000000172410757716120186259435961453867281003752316313944139178358988036511253059736229117952) (fabs.f64 (.f64 z (/.f64 x (neg.f64 y)))) (if (<=.f64 z -195000000000000008029295330074523081615225279341376825897660832625900207400867069952) (fabs.f64 (/.f64 (+.f64 4 x) y)) (if (<=.f64 z -1400000000000000075579919874340895032890043676663742464) (fabs.f64 (.f64 x (/.f64 (neg.f64 z) y))) (if (<=.f64 z 3900000000000000011517720304882353653112622635104027722833646807977445693033790666278933568344164858138568293247635701595412491141120) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))))))
(if (<=.f64 z -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (fabs.f64 (.f64 x (/.f64 (neg.f64 z) y))) (if (<=.f64 z -6599999999999999957070517935998238669197676614136203749539289660818420924416) (fabs.f64 (/.f64 (+.f64 4 x) y)) (if (<=.f64 z -45999999999999999688163639020634886917238588329426944) (fabs.f64 (.f64 x (/.f64 (neg.f64 z) y))) (if (<=.f64 z 1399999999999999955639789406190203819338020309860587832713937700752379477973204767284882690383389709386030150538229463169682854903808) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))))))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(if (<=.f64 x -5967269506265907/562949953421312) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 4 y))

Outputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) -1999999999999999887603621897589142048114448258041101063088247784112914432) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) 199999999999999990329637623605584395770392181606026710334413639527300071424) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (.f64 z x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -5000000000000000367879369238556249198788031076088728399622928950675879571901095101025339828076544) (fabs.f64 (-.f64 (/.f64 x y) (.f64 (/.f64 x y) z))) (if (<=.f64 x 4200) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (.f64 z x)) y)) (fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))
(if (<=.f64 x -7269215601948759/2596148429267413814265248164610048) (fabs.f64 (-.f64 (/.f64 x y) (.f64 (/.f64 x y) z))) (if (<=.f64 x 3961408125713217/2475880078570760549798248448) (fabs.f64 (.f64 (/.f64 1 y) (+.f64 4 x))) (fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))
(if (<=.f64 x -6230756230241793/2596148429267413814265248164610048) (fabs.f64 (.f64 (-.f64 1 z) (/.f64 x y))) (if (<=.f64 x 3961408125713217/2475880078570760549798248448) (fabs.f64 (.f64 (/.f64 1 y) (+.f64 4 x))) (fabs.f64 (*.f64 (-.f64 1 z) (/.f64 x y)))))
(if (<=.f64 x -8048060130728983/2596148429267413814265248164610048) (fabs.f64 (.f64 (-.f64 1 z) (/.f64 x y))) (if (<=.f64 x 7724745845140773/19807040628566084398385987584) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (.f64 (-.f64 1 z) (/.f64 x y)))))
(if (<=.f64 z -80000000000000005886069907816899987180608497217419654393966863210814073150417521616405437249224704) (fabs.f64 (.f64 z (/.f64 x (neg.f64 y)))) (if (<=.f64 z -115000000000000002005206813200069618603975780427201536442134812831809058772090880) (fabs.f64 (/.f64 (+.f64 4 x) y)) (if (<=.f64 z -2800000000000000047480056077458351979283136651460608) (fabs.f64 (/.f64 (neg.f64 x) (/.f64 y z))) (if (<=.f64 z 5999999999999999629761354843011825683887332298745999031266639195382441566407250583240483431941564530903483479975654769896912851042304) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (.f64 x (/.f64 (neg.f64 z) y)))))))
(if (<=.f64 z -90000000000000000172410757716120186259435961453867281003752316313944139178358988036511253059736229117952) (fabs.f64 (.f64 z (/.f64 x (neg.f64 y)))) (if (<=.f64 z -195000000000000008029295330074523081615225279341376825897660832625900207400867069952) (fabs.f64 (/.f64 (+.f64 4 x) y)) (if (<=.f64 z -1400000000000000075579919874340895032890043676663742464) (fabs.f64 (.f64 x (/.f64 (neg.f64 z) y))) (if (<=.f64 z 3900000000000000011517720304882353653112622635104027722833646807977445693033790666278933568344164858138568293247635701595412491141120) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))))))
(if (<=.f64 z -28000000000000000849356080656229352062658340598338720473008339684538968982454048195969807283082449911808) (fabs.f64 (.f64 x (/.f64 (neg.f64 z) y))) (if (<=.f64 z -6599999999999999957070517935998238669197676614136203749539289660818420924416) (fabs.f64 (/.f64 (+.f64 4 x) y)) (if (<=.f64 z -45999999999999999688163639020634886917238588329426944) (fabs.f64 (.f64 x (/.f64 (neg.f64 z) y))) (if (<=.f64 z 1399999999999999955639789406190203819338020309860587832713937700752379477973204767284882690383389709386030150538229463169682854903808) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))))))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(if (<=.f64 x -5967269506265907/562949953421312) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 4 y))

Compiler

Compiled 404 to 247 computations (38.9% saved)

soundness0.0ms (0%)

end124.0ms (1.2%)

Compiler: Compiled 374 to 195 computations (47.9% saved)