Details

analyze384.0ms (3%)

Algorithm

1×

Search

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

sample2.2s (17.2%)

Results

2.0s	8256×	body	256	valid
185.0ms	1698×	body	256	infinite

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

8×	`rational_best-simplify-2`
8×	`rational_best-simplify-53`
8×	`rational_best-simplify-72`
6×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	140
1	49	140
0	3	3

Stop Event

1×	saturated
1×	saturated

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-2`
2×	`rational_best-simplify-1`
2×	`rational_best-simplify-53`
2×	`rational_best-simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	18	35

Stop Event

1×

saturated

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 27 to 15 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

2.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize16.0ms (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))
✓	3.8b	(*.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	x	@	0	(*.f64 (/.f64 x y) z)
1.0ms	y	@	inf	(*.f64 (/.f64 x y) z)
0.0ms	y	@	0	(*.f64 (/.f64 x y) z)

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`rational_best-simplify-57`
572×	`rational_best-5`
570×	`rational_best-4`
570×	`rational_best-2`
570×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	91	57
2	297	57
3	1237	57
4	5417	57

Stop Event

1×	node limit

Counts

3 → 61

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (-.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 x y) z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x 4) y) 2) (-.f64 0 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)) (neg.f64 (*.f64 (/.f64 x y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 x y) (+.f64 z z))) (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) 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simplify248.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1304×	`rational_best-simplify-48`
1126×	`rational_best-simplify-52`
884×	`rational_best-simplify-2`
808×	`rational_best-simplify-51`
544×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	3689
1	269	3503
2	792	3503
3	1907	3495
4	5925	3495

Stop Event

1×	node limit

Counts

157 → 93

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

eval137.0ms (1.1%)

Compiler: Compiled 2027 to 1011 computations (50.1% saved)

prune19.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	8	94

Error

0.0b

Counts

94 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y))
▶	34.6b	(fabs.f64 (/.f64 4 y))
	3.6b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
✓	2.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	28.6b	(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
▶	19.0b	(fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)))
▶	29.1b	(fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
▶	46.4b	(fabs.f64 (neg.f64 (/.f64 (*.f64 z x) y)))

Compiler

Compiled 183 to 126 computations (31.1% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x 4) (*.f64 z x))
✓	3.4b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y)

Compiler

Compiled 39 to 19 computations (51.3% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite113.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`rational_best-simplify-57`
696×	`rational_best-simplify-43`
516×	`rational_best-5`
514×	`rational_best-4`
514×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	83	44
2	270	44
3	1118	44
4	4884	44

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs
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Outputs

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

simplify404.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational_best-simplify-54`
1150×	`rational_best-simplify-2`
704×	`rational_best-simplify-44`
682×	`rational_best-simplify-24`
676×	`rational_best-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	3211
1	329	3165
2	1242	3005
3	3771	3005
4	5776	3005

Stop Event

1×	node limit

Counts

121 → 113

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

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

localize5.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.5b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 27 to 7 computations (74.1% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`rational_best-5`
1886×	`rational_best-4`
1886×	`rational_best-2`
1886×	`rational_best-3`
1886×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	59	13
2	205	13
3	856	13
4	3779	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational_best-simplify-80`
1020×	`rational_best-simplify-129`
976×	`rational_best-simplify-78`
924×	`rational_best-simplify-2`
908×	`rational_best-simplify-94`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	221
1	72	221
2	167	221
3	847	221
4	1975	221
5	4150	221

Stop Event

1×	node limit

Counts

17 → 18

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 y) (/.f64 z y))
✓	2.6b	(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)

Compiler

Compiled 39 to 19 computations (51.3% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

15 calls:

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

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`rational_best-simplify-57`
624×	`rational_best-simplify-43`
586×	`rational_best-simplify-78`
516×	`rational_best-simplify-44`
510×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	80	44
2	261	44
3	1097	44
4	4876	44

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify212.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

888×	`rational_best-simplify-80`
838×	`rational_best-simplify-49`
824×	`rational_best-simplify-78`
688×	`rational_best-simplify-24`
688×	`rational_best-simplify-94`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	2137
1	203	2091
2	737	1939
3	2812	1939
4	5564	1939

Stop Event

1×	node limit

Counts

93 → 70

Calls

Call 1

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

Outputs
(/.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 (.f64 -1 z) 1) x) y)
(/.f64 (.f64 x (+.f64 1 (.f64 z -1))) y)
(/.f64 (*.f64 x (+.f64 1 (neg.f64 z))) y)
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(/.f64 (.f64 x (+.f64 1 (.f64 z -1))) y)
(/.f64 (*.f64 x (+.f64 1 (neg.f64 z))) y)
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(/.f64 (.f64 x (+.f64 1 (.f64 z -1))) y)
(/.f64 (*.f64 x (+.f64 1 (neg.f64 z))) y)
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(/.f64 (.f64 x (+.f64 1 (.f64 z -1))) y)
(/.f64 (*.f64 x (+.f64 1 (neg.f64 z))) y)
(/.f64 x y)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 z x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 z x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 z x) y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 z x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 z x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 z x) y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 z x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 z x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (/.f64 x y))
(+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 1 z) y)
(/.f64 (-.f64 1 z) y)
(/.f64 (-.f64 1 z) y)
(/.f64 (-.f64 1 z) y)
(/.f64 (-.f64 1 z) y)
(/.f64 (-.f64 1 z) y)
(/.f64 (-.f64 1 z) y)
(/.f64 (-.f64 1 z) y)
(/.f64 (+.f64 (*.f64 -1 z) 1) y)
(/.f64 (+.f64 1 (*.f64 z -1)) y)
(/.f64 (+.f64 1 (neg.f64 z)) y)
(/.f64 (+.f64 (*.f64 -1 z) 1) y)
(/.f64 (+.f64 1 (*.f64 z -1)) y)
(/.f64 (+.f64 1 (neg.f64 z)) y)
(/.f64 (+.f64 (*.f64 -1 z) 1) y)
(/.f64 (+.f64 1 (*.f64 z -1)) y)
(/.f64 (+.f64 1 (neg.f64 z)) y)
(/.f64 (+.f64 (*.f64 -1 z) 1) y)
(/.f64 (+.f64 1 (*.f64 z -1)) y)
(/.f64 (+.f64 1 (neg.f64 z)) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
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(/.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) 2)
(/.f64 (*.f64 2 (-.f64 (/.f64 z y) (/.f64 1 y))) -2)
(/.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) 2) -2)
(/.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 2) 2)
(/.f64 (*.f64 2 (-.f64 (/.f64 z y) (/.f64 1 y))) -2)
(pow.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) 1)
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(neg.f64 (-.f64 (/.f64 z y) (/.f64 1 y)))
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localize107.0ms (0.9%)

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)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`rational_best-simplify-57`
726×	`rational_best-simplify-80`
598×	`rational_best-simplify-49`
574×	`rational_best-simplify-43`
524×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	80	25
2	243	25
3	1003	25
4	4448	25

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify158.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational_best-simplify-2`
1160×	`rational_best-simplify-80`
1056×	`rational_best-simplify-78`
722×	`rational_best-simplify-49`
618×	`rational_best-simplify-82`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	1037
1	135	1021
2	545	1021
3	2308	1021
4	4617	1021

Stop Event

1×	node limit

Counts

47 → 39

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

eval110.0ms (0.9%)

Compiler: Compiled 6032 to 3258 computations (46% saved)

prune46.0ms (0.4%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	233	7	240
Fresh	0	2	2
Picked	0	1	1
Done	1	4	5
Total	234	14	248

Error

0.0b

Counts

248 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.6b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y))
▶	19.0b	(fabs.f64 (/.f64 (+.f64 4 x) y))
	26.8b	(fabs.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (.f64 x z)))) (.f64 (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (.f64 x z))) (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (.f64 x z))))) y))
▶	16.4b	(fabs.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z)))) y))
▶	30.6b	(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
▶	45.7b	(fabs.f64 (/.f64 x y))
✓	34.6b	(fabs.f64 (/.f64 4 y))
▶	3.6b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
✓	2.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	28.6b	(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
✓	19.0b	(fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)))
	45.8b	(fabs.f64 (*.f64 (/.f64 1 y) x))
	44.8b	(fabs.f64 (*.f64 (neg.f64 (/.f64 z y)) x))
✓	46.4b	(fabs.f64 (neg.f64 (/.f64 (*.f64 z x) y)))

Compiler

Compiled 394 to 252 computations (36% saved)

localize192.0ms (1.5%)

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 z x) y))
	7.5b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 46 to 20 computations (56.5% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`rational_best-simplify-57`
572×	`rational_best-5`
570×	`rational_best-4`
570×	`rational_best-2`
570×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	91	31
2	297	31
3	1237	31
4	5429	31

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify252.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational_best-simplify-80`
1250×	`rational_best-simplify-78`
1214×	`rational_best-simplify-94`
1174×	`rational_best-simplify-24`
1110×	`rational_best-simplify-135`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	2527
1	177	2479
2	701	2379
3	3530	2367
4	7191	2367

Stop Event

1×	node limit

Counts

67 → 61

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

localize6.0ms (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	@	0	(/.f64 (+.f64 4 x) y)
0.0ms	x	@	inf	(/.f64 (+.f64 4 x) y)
0.0ms	x	@	-inf	(/.f64 (+.f64 4 x) y)
0.0ms	y	@	-inf	(/.f64 (+.f64 4 x) y)
0.0ms	y	@	inf	(/.f64 (+.f64 4 x) y)

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`rational_best-5`
1572×	`rational_best-4`
1572×	`rational_best-2`
1572×	`rational_best-3`
1572×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	185	13
3	742	13
4	3177	13

Stop Event

1×	node limit

Counts

1 → 22

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

simplify241.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1620×	`rational_best-simplify-132`
1274×	`rational_best-simplify-54`
716×	`rational_best-simplify-80`
712×	`rational_best-simplify-24`
706×	`rational_best-simplify-29`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	532
1	78	532
2	197	532
3	869	532
4	3080	532
5	6842	532

Stop Event

1×	node limit

Counts

34 → 26

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 (/.f64 (+.f64 4 x) y) 0)
(*.f64 (/.f64 (+.f64 4 x) y) 1)
(*.f64 (/.f64 (+.f64 4 x) y) (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))
(.f64 (/.f64 (+.f64 4 x) y) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (+.f64 4 x) y))))
(*.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))))
(*.f64 1 (/.f64 (+.f64 4 x) y))
(*.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (+.f64 4 x) y))
(.f64 (/.f64 1 (/.f64 (+.f64 4 x) y)) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 1 (/.f64 (+.f64 4 x) y)))
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (+.f64 4 x) y)))
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (*.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (+.f64 4 x) y))) (/.f64 (+.f64 4 x) y)))
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (+.f64 4 x) y))) (/.f64 (+.f64 4 x) y))
(*.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))) (/.f64 (+.f64 4 x) y))
(.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))) (.f64 (/.f64 (+.f64 4 x) y) (*.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))))
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (.f64 (/.f64 (+.f64 4 x) y) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))) (/.f64 (/.f64 1 (/.f64 (+.f64 4 x) y)) (*.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))))
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (*.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))) (/.f64 1 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 4 x) y)) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))) (.f64 (/.f64 (+.f64 4 x) y) (.f64 (/.f64 (+.f64 4 x) y) (*.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (+.f64 4 x) y)) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (+.f64 4 x) y))) (/.f64 (+.f64 4 x) y)) (*.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))
(pow.f64 (/.f64 (+.f64 4 x) y) 1)

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 (/.f64 (+.f64 4 x) y) 0)
(/.f64 (+.f64 4 x) y)
(*.f64 (/.f64 (+.f64 4 x) y) 1)
(/.f64 (+.f64 4 x) y)
(*.f64 (/.f64 (+.f64 4 x) y) (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))
(/.f64 (+.f64 4 x) y)
(.f64 (/.f64 (+.f64 4 x) y) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (+.f64 4 x) y))))
(/.f64 (+.f64 4 x) y)
(*.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))))
(/.f64 (+.f64 4 x) y)
(*.f64 1 (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 4 x) y)
(*.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 4 x) y)
(.f64 (/.f64 1 (/.f64 (+.f64 4 x) y)) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))
(/.f64 (+.f64 4 x) y)
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 1 (/.f64 (+.f64 4 x) y)))
(/.f64 (+.f64 4 x) y)
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (+.f64 4 x) y)))
(/.f64 (+.f64 4 x) y)
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (*.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (+.f64 4 x) y))) (/.f64 (+.f64 4 x) y)))
(/.f64 (+.f64 4 x) y)
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (+.f64 4 x) y))) (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 4 x) y)
(*.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))) (/.f64 (+.f64 4 x) y))
(/.f64 (+.f64 4 x) y)
(.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))) (.f64 (/.f64 (+.f64 4 x) y) (*.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))))
(/.f64 (+.f64 4 x) y)
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (.f64 (/.f64 (+.f64 4 x) y) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))) (/.f64 (/.f64 1 (/.f64 (+.f64 4 x) y)) (*.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))))
(/.f64 (+.f64 4 x) y)
(.f64 (.f64 (/.f64 (+.f64 4 x) y) (*.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))) (/.f64 1 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))))
(/.f64 (+.f64 4 x) y)
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 4 x) y)) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y))) (.f64 (/.f64 (+.f64 4 x) y) (.f64 (/.f64 (+.f64 4 x) y) (*.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))))
(/.f64 (+.f64 4 x) y)
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)) (/.f64 (+.f64 4 x) y)) (.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))
(/.f64 (+.f64 4 x) y)
(.f64 (/.f64 (.f64 (/.f64 (+.f64 4 x) y) (/.f64 1 (/.f64 (+.f64 4 x) y))) (/.f64 (+.f64 4 x) y)) (*.f64 (/.f64 (+.f64 4 x) y) (/.f64 (+.f64 4 x) y)))
(/.f64 (+.f64 4 x) y)
(pow.f64 (/.f64 (+.f64 4 x) y) 1)
(/.f64 (+.f64 4 x) y)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 z) x)
✓	3.4b	(/.f64 (*.f64 (-.f64 1 z) x) y)

Compiler

Compiled 30 to 18 computations (40% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (*.f64 (-.f64 1 z) x) y)
1.0ms	z	@	inf	(*.f64 (-.f64 1 z) x)
0.0ms	x	@	0	(/.f64 (*.f64 (-.f64 1 z) x) y)
0.0ms	y	@	0	(/.f64 (*.f64 (-.f64 1 z) x) y)
0.0ms	z	@	inf	(/.f64 (*.f64 (-.f64 1 z) x) y)

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`rational_best-simplify-82`
864×	`rational_best-simplify-57`
698×	`rational_best-simplify-80`
588×	`rational_best-simplify-49`
544×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	72	32
2	235	32
3	985	32
4	4310	32

Stop Event

1×	node limit

Counts

2 → 40

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

simplify212.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

768×	`rational_best-simplify-2`
724×	`rational_best-simplify-80`
652×	`rational_best-simplify-43`
632×	`rational_best-simplify-49`
612×	`rational_best-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	1222
1	172	1178
2	410	1178
3	1552	1178
4	3170	1178
5	6175	1178

Stop Event

1×	node limit

Counts

64 → 60

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

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

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z)))
✓	0.6b	(/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))
✓	3.4b	(/.f64 (.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z)))) y)
✓	14.2b	(.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z))))

Compiler

Compiled 125 to 65 computations (48% saved)

series11.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))
1.0ms	z	@	inf	(/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))
0.0ms	x	@	inf	(/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))
0.0ms	z	@	-inf	(/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))

rewrite159.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`rational_best-simplify-47`
798×	`rational_best-5`
796×	`rational_best-4`
796×	`rational_best-2`
796×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	112
1	121	112
2	384	112
3	1634	112
4	7162	112

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

Outputs
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simplify214.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational_best-simplify-46`
1104×	`rational_best-simplify-45`
1020×	`rational_best-simplify-2`
850×	`rational_best-simplify-1`
810×	`rational_best-simplify-78`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	452	11856
1	1000	11584
2	1920	11548
3	4533	11540

Stop Event

1×	node limit

Counts

242 → 329

Calls

Call 1

Inputs
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 x)
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 -1 (.f64 z x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 -1 (.f64 z x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(/.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)
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1/4
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16
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Outputs
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 x (+.f64 1 (.f64 z -1)))
(*.f64 x (+.f64 1 (neg.f64 z)))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 x (+.f64 1 (.f64 z -1))))
(+.f64 4 (*.f64 x (+.f64 1 (neg.f64 z))))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 x (+.f64 1 (.f64 z -1))))
(+.f64 4 (*.f64 x (+.f64 1 (neg.f64 z))))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 x (+.f64 1 (.f64 z -1))))
(+.f64 4 (*.f64 x (+.f64 1 (neg.f64 z))))
(+.f64 4 x)
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(fabs.f64 (.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (.f64 (neg.f64 (.f64 (-.f64 (+.f64 4 x) (.f64 z x)) (-.f64 (+.f64 4 x) (.f64 z x)))) (/.f64 1 (-.f64 (*.f64 z x) (+.f64 4 x))))))
(fabs.f64 (.f64 1 (.f64 (+.f64 x (-.f64 4 (.f64 z x))) (/.f64 (.f64 (+.f64 x (-.f64 4 (.f64 z x))) (+.f64 x (-.f64 4 (.f64 z x)))) (+.f64 x (-.f64 4 (*.f64 z x)))))))
(fabs.f64 (.f64 1 (.f64 (+.f64 4 (-.f64 x (.f64 z x))) (/.f64 (.f64 (+.f64 (.f64 z x) (-.f64 -4 x)) (+.f64 (.f64 z x) (-.f64 -4 x))) (+.f64 4 (-.f64 x (*.f64 z x)))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (/.f64 1 (-.f64 (.f64 x z) (+.f64 x 4)))) (/.f64 (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (.f64 x z))) (fabs.f64 (/.f64 (-.f64 (.f64 x z) (+.f64 x 4)) (-.f64 (*.f64 x z) (+.f64 x 4))))))))
(fabs.f64 (.f64 (/.f64 (.f64 (-.f64 (+.f64 4 x) (.f64 z x)) (-.f64 (+.f64 4 x) (.f64 z x))) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (.f64 z x)) (-.f64 (+.f64 4 x) (.f64 z x))))) (.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (/.f64 1 (-.f64 (*.f64 z x) (+.f64 4 x))))))
(fabs.f64 (.f64 (-.f64 (.f64 z x) (+.f64 4 x)) (.f64 (/.f64 (.f64 (-.f64 (+.f64 4 x) (.f64 z x)) (-.f64 (+.f64 4 x) (.f64 z x))) (fabs.f64 (/.f64 (-.f64 (+.f64 4 x) (.f64 z x)) (-.f64 (+.f64 4 x) (.f64 z x))))) (/.f64 1 (-.f64 (*.f64 z x) (+.f64 4 x))))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 x (-.f64 4 (.f64 z x))) (+.f64 x (-.f64 4 (.f64 z x)))) (fabs.f64 (/.f64 (+.f64 x (-.f64 4 (.f64 z x))) (+.f64 x (-.f64 4 (.f64 z x)))))) (.f64 (+.f64 x (-.f64 4 (.f64 z x))) (/.f64 1 (+.f64 x (-.f64 4 (*.f64 z x)))))))
(fabs.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 z x) (-.f64 -4 x)) (+.f64 (.f64 z x) (-.f64 -4 x))) (fabs.f64 (/.f64 (+.f64 4 (-.f64 x (.f64 z x))) (+.f64 4 (-.f64 x (.f64 z x)))))) (.f64 (+.f64 4 (-.f64 x (.f64 z x))) (/.f64 -1 (+.f64 (*.f64 z x) (-.f64 -4 x))))))

eval230.0ms (1.8%)

Compiler: Compiled 17186 to 9969 computations (42% saved)

prune356.0ms (2.8%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	515	2	517
Fresh	1	3	4
Picked	1	0	1
Done	0	9	9
Total	517	14	531

Error

0.0b

Counts

531 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(fabs.f64 (/.f64 (-.f64 (+.f64 (+.f64 x 8) (+.f64 x 8)) (+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8))) y))
✓	3.6b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y))
✓	19.0b	(fabs.f64 (/.f64 (+.f64 4 x) y))
✓	30.6b	(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
▶	16.4b	(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z)))) (.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))))) (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z)))) y))
✓	45.7b	(fabs.f64 (/.f64 x y))
✓	34.6b	(fabs.f64 (/.f64 4 y))
✓	3.6b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
✓	2.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
▶	28.6b	(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
✓	19.0b	(fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)))
▶	45.8b	(fabs.f64 (*.f64 (/.f64 1 y) x))
▶	44.8b	(fabs.f64 (*.f64 (neg.f64 (/.f64 z y)) x))
✓	46.4b	(fabs.f64 (neg.f64 (/.f64 (*.f64 z x) y)))

Compiler

Compiled 316 to 214 computations (32.3% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4 (*.f64 x z))
✓	0.0b	(+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8))
✓	0.0b	(-.f64 (+.f64 (+.f64 x 8) (+.f64 x 8)) (+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8)))
✓	3.4b	(/.f64 (-.f64 (+.f64 (+.f64 x 8) (+.f64 x 8)) (+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8))) y)

Compiler

Compiled 91 to 56 computations (38.5% saved)

series6.0ms (0%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 4 (*.f64 x z))
1.0ms	y	@	0	(/.f64 (-.f64 (+.f64 (+.f64 x 8) (+.f64 x 8)) (+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8))) y)
0.0ms	z	@	0	(/.f64 (-.f64 (+.f64 (+.f64 x 8) (+.f64 x 8)) (+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8))) y)
0.0ms	y	@	inf	(/.f64 (-.f64 (+.f64 (+.f64 x 8) (+.f64 x 8)) (+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8))) y)
0.0ms	x	@	0	(/.f64 (-.f64 (+.f64 (+.f64 x 8) (+.f64 x 8)) (+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8))) y)

rewrite139.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`rational_best-5`
828×	`rational_best-4`
828×	`rational_best-2`
828×	`rational_best-3`
828×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	142
1	123	94
2	443	88
3	1854	88

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (+.f64 x 8) (+.f64 x 8)) (+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8))) y)
(-.f64 (+.f64 (+.f64 x 8) (+.f64 x 8)) (+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8)))
(+.f64 (+.f64 4 (*.f64 x z)) (+.f64 x 8))
(+.f64 4 (*.f64 x z))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 16 (+.f64 (.f64 x z) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 8 (neg.f64 (+.f64 4 (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 8 (+.f64 x (neg.f64 (+.f64 4 (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 8) (neg.f64 (+.f64 4 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 8) (-.f64 (-.f64 16 (+.f64 (.f64 x z) 12)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 8) (-.f64 8 (+.f64 (.f64 x z) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 8) (-.f64 (-.f64 (+.f64 x 8) 4) (+.f64 8 (+.f64 x (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 8) (-.f64 (-.f64 (+.f64 x 8) (.f64 x z)) (+.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x x) 16) (neg.f64 (+.f64 (.f64 x z) (+.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x z) (+.f64 x 12)) (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 8 (-.f64 16 (+.f64 (.f64 x z) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 8) (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x x) 16) (+.f64 (neg.f64 (+.f64 4 (.f64 x z))) (+.f64 (+.f64 x x) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 4 (-.f64 (-.f64 (+.f64 x 8) (.f64 x z)) (+.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x z) (-.f64 (-.f64 (+.f64 x 8) 4) (+.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4 (.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x z) (+.f64 x 12)) (+.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 4 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 4 (.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 4 (-.f64 (+.f64 x 8) (.f64 x z))) (neg.f64 (+.f64 x 8)))))) (#(struct:change #<rule 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z))) 2) (+.f64 (neg.f64 (+.f64 x 8)) (-.f64 4 (-.f64 (+.f64 x 8) (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 4 (.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 4 (.f64 x z)) (/.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 4 (.f64 x z)) (.f64 (+.f64 4 (.f64 x z)) (/.f64 1 (+.f64 4 (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 4 (.f64 x z)) (/.f64 1 (/.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 4 (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))) (+.f64 4 (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 4 (.f64 x z))) (.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))) (/.f64 1 (+.f64 4 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 4 (.f64 x z)) (/.f64 1 (+.f64 4 (.f64 x z)))) (+.f64 4 (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z)))) (.f64 (+.f64 4 (.f64 x z)) (.f64 (/.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))) (/.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 4 (.f64 x z))) (.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z)))) (.f64 (.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))) (.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))) (+.f64 4 (.f64 x z))) (.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 4 (.f64 x z)) (/.f64 1 (+.f64 4 (.f64 x z)))) (+.f64 4 (.f64 x z))) (.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4 (.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4 (.f64 x z)) (/.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 4 (.f64 x z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 4 (.f64 x z))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 4 (.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 4 (.f64 x z))))))))

simplify439.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1806×	`rational_best-simplify-54`
1278×	`rational_best-simplify-45`
1046×	`rational_best-simplify-44`
590×	`rational_best-simplify-49`
588×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	333	6922
1	659	6740
2	2248	6622
3	6611	6618

Stop Event

1×	node limit

Counts

246 → 293

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 (+.f64 4 (*.f64 2 x)) x) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(/.f64 (-.f64 (+.f64 4 (.f64 2 x)) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 2 x)) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 2 x)) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 2 x)) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(-.f64 (+.f64 4 (*.f64 2 x)) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(.f64 -1 (.f64 z x))
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(.f64 -1 (.f64 z x))
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
12
(+.f64 (*.f64 (+.f64 1 z) x) 12)
(+.f64 (*.f64 (+.f64 1 z) x) 12)
(+.f64 (*.f64 (+.f64 1 z) x) 12)
(*.f64 (+.f64 1 z) x)
(+.f64 12 (*.f64 (+.f64 1 z) x))
(+.f64 12 (*.f64 (+.f64 1 z) x))
(+.f64 12 (*.f64 (+.f64 1 z) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(+.f64 12 (.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x)))
(+.f64 12 (.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x)))
(+.f64 12 (.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x)))
(+.f64 12 x)
(+.f64 (*.f64 z x) (+.f64 12 x))
(+.f64 (*.f64 z x) (+.f64 12 x))
(+.f64 (*.f64 z x) (+.f64 12 x))
(*.f64 z x)
(+.f64 12 (+.f64 (*.f64 z x) x))
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(/.f64 (+.f64 4 (.f64 x z)) (/.f64 (+.f64 4 (.f64 x z)) (+.f64 4 (*.f64 x z))))
(/.f64 (.f64 (+.f64 4 (.f64 x z)) 2) 2)
(/.f64 (.f64 (neg.f64 (+.f64 4 (.f64 x z))) 2) -2)
(pow.f64 (+.f64 4 (*.f64 x z)) 1)
(neg.f64 (neg.f64 (+.f64 4 (*.f64 x z))))

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 (*.f64 x (-.f64 1 z)) y)
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 x (-.f64 1 z)) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 x (-.f64 1 z)) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 (-.f64 1 z) x) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 x (-.f64 1 z)) y))
(/.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) y)
(/.f64 (.f64 x (+.f64 1 (.f64 z -1))) y)
(/.f64 (*.f64 x (+.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 (.f64 x (+.f64 1 (*.f64 z -1))) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 x (+.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 (.f64 x (+.f64 1 (*.f64 z -1))) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 x (+.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 (.f64 x (+.f64 1 (*.f64 z -1))) y))
(+.f64 (.f64 4 (/.f64 1 y)) (/.f64 (.f64 x (+.f64 1 (neg.f64 z))) y))
(/.f64 (-.f64 (+.f64 4 (*.f64 2 x)) x) y)
(/.f64 (-.f64 (+.f64 4 (*.f64 x 2)) x) y)
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (/.f64 (.f64 z x) y)) (*.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (/.f64 (.f64 z x) y)) (*.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (/.f64 (.f64 z x) y)) (*.f64 2 (/.f64 x y)))) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (/.f64 (.f64 z x) y)) (*.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (/.f64 (.f64 z x) y)) (*.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (/.f64 (.f64 z x) y)) (*.f64 2 (/.f64 x y)))) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (/.f64 (.f64 z x) y)) (*.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (/.f64 (.f64 z x) y)) (*.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (+.f64 (.f64 2 (/.f64 x y)) (.f64 4 (/.f64 1 y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) (.f64 2 (/.f64 x y)))) (/.f64 x y))
(-.f64 (+.f64 (.f64 4 (/.f64 1 y)) (+.f64 (neg.f64 (/.f64 (.f64 z x) y)) (*.f64 2 (/.f64 x y)))) (/.f64 x y))
(/.f64 (-.f64 (+.f64 4 (.f64 2 x)) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 (.f64 2 x)) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 (.f64 2 x)) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 4 (.f64 2 x)) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
(/.f64 (-.f64 (+.f64 (.f64 2 x) 4) (+.f64 (.f64 z x) x)) y)
(/.f64 (-.f64 (+.f64 4 (.f64 x 2)) (+.f64 x (.f64 z x))) y)
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 x (-.f64 1 z)))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 x (+.f64 1 (.f64 z -1)))
(*.f64 x (+.f64 1 (neg.f64 z)))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 x (+.f64 1 (.f64 z -1))))
(+.f64 4 (*.f64 x (+.f64 1 (neg.f64 z))))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 x (+.f64 1 (.f64 z -1))))
(+.f64 4 (*.f64 x (+.f64 1 (neg.f64 z))))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 x (+.f64 1 (.f64 z -1))))
(+.f64 4 (*.f64 x (+.f64 1 (neg.f64 z))))
(-.f64 (+.f64 4 (*.f64 2 x)) x)
(-.f64 (+.f64 4 (*.f64 x 2)) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 z (*.f64 -1 x)))) x)
(-.f64 (+.f64 4 (+.f64 (neg.f64 (.f64 z x)) (.f64 x 2))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 x (neg.f64 z)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 z (*.f64 -1 x)))) x)
(-.f64 (+.f64 4 (+.f64 (neg.f64 (.f64 z x)) (.f64 x 2))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 x (neg.f64 z)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 z (*.f64 -1 x)))) x)
(-.f64 (+.f64 4 (+.f64 (neg.f64 (.f64 z x)) (.f64 x 2))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 x (neg.f64 z)))) x)
(.f64 -1 (.f64 z x))
(.f64 z (.f64 -1 x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 z (*.f64 -1 x)))) x)
(-.f64 (+.f64 4 (+.f64 (neg.f64 (.f64 z x)) (.f64 x 2))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 x (neg.f64 z)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 z (*.f64 -1 x)))) x)
(-.f64 (+.f64 4 (+.f64 (neg.f64 (.f64 z x)) (.f64 x 2))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 x (neg.f64 z)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 z (*.f64 -1 x)))) x)
(-.f64 (+.f64 4 (+.f64 (neg.f64 (.f64 z x)) (.f64 x 2))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 x (neg.f64 z)))) x)
(.f64 -1 (.f64 z x))
(.f64 z (.f64 -1 x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 z (*.f64 -1 x)))) x)
(-.f64 (+.f64 4 (+.f64 (neg.f64 (.f64 z x)) (.f64 x 2))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 x (neg.f64 z)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 z (*.f64 -1 x)))) x)
(-.f64 (+.f64 4 (+.f64 (neg.f64 (.f64 z x)) (.f64 x 2))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 x (neg.f64 z)))) x)
(-.f64 (+.f64 (.f64 2 x) (+.f64 4 (.f64 -1 (*.f64 z x)))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 z (*.f64 -1 x)))) x)
(-.f64 (+.f64 4 (+.f64 (neg.f64 (.f64 z x)) (.f64 x 2))) x)
(-.f64 (+.f64 (.f64 x 2) (+.f64 4 (.f64 x (neg.f64 z)))) x)
12
(+.f64 (*.f64 (+.f64 1 z) x) 12)
(+.f64 12 (*.f64 x (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) 12)
(+.f64 12 (*.f64 x (+.f64 1 z)))
(+.f64 (*.f64 (+.f64 1 z) x) 12)
(+.f64 12 (*.f64 x (+.f64 1 z)))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 1 z))
(+.f64 12 (*.f64 (+.f64 1 z) x))
(+.f64 12 (*.f64 x (+.f64 1 z)))
(+.f64 12 (*.f64 (+.f64 1 z) x))
(+.f64 12 (*.f64 x (+.f64 1 z)))
(+.f64 12 (*.f64 (+.f64 1 z) x))
(+.f64 12 (*.f64 x (+.f64 1 z)))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 x (+.f64 (*.f64 z -1) -1)))
(*.f64 (+.f64 -1 (neg.f64 z)) (neg.f64 x))
(*.f64 (-.f64 (neg.f64 z) 1) (neg.f64 x))
(+.f64 12 (.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x)))
(+.f64 12 (.f64 -1 (.f64 x (+.f64 (*.f64 z -1) -1))))
(+.f64 12 (*.f64 (+.f64 -1 (neg.f64 z)) (neg.f64 x)))
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(+.f64 12 (*.f64 (+.f64 -1 (neg.f64 z)) (neg.f64 x)))
(+.f64 12 (*.f64 (-.f64 (neg.f64 z) 1) (neg.f64 x)))
(+.f64 12 x)
(+.f64 x 12)
(+.f64 (*.f64 z x) (+.f64 12 x))
(+.f64 x (+.f64 12 (*.f64 z x)))
(+.f64 (*.f64 z x) (+.f64 12 x))
(+.f64 x (+.f64 12 (*.f64 z x)))
(+.f64 (*.f64 z x) (+.f64 12 x))
(+.f64 x (+.f64 12 (*.f64 z x)))
(*.f64 z x)
(+.f64 12 (+.f64 (*.f64 z x) x))
(+.f64 x (+.f64 12 (*.f64 z x)))
(+.f64 12 (+.f64 (*.f64 z x) x))
(+.f64 x (+.f64 12 (*.f64 z x)))
(+.f64 12 (+.f64 (*.f64 z x) x))
(+.f64 x (+.f64 12 (*.f64 z x)))
(*.f64 z x)
(+.f64 12 (+.f64 (*.f64 z x) x))
(+.f64 x (+.f64 12 (*.f64 z x)))
(+.f64 12 (+.f64 (*.f64 z x) x))
(+.f64 x (+.f64 12 (*.f64 z x)))
(+.f64 12 (+.f64 (*.f64 z x) x))
(+.f64 x (+.f64 12 (*.f64 z x)))
4
(+.f64 (*.f64 z x) 4)
(+.f64 4 (*.f64 z x))
(+.f64 (*.f64 z x) 4)
(+.f64 4 (*.f64 z x))
(+.f64 (*.f64 z x) 4)
(+.f64 4 (*.f64 z x))
(*.f64 z x)
(+.f64 4 (*.f64 z x))
(+.f64 4 (*.f64 z x))
(+.f64 4 (*.f64 z x))
(*.f64 z x)
(+.f64 4 (*.f64 z x))
(+.f64 4 (*.f64 z x))
(+.f64 4 (*.f64 z x))
4
(+.f64 (*.f64 z x) 4)
(+.f64 4 (*.f64 z x))
(+.f64 (*.f64 z x) 4)
(+.f64 4 (*.f64 z x))
(+.f64 (*.f64 z x) 4)
(+.f64 4 (*.f64 z x))
(*.f64 z x)
(+.f64 4 (*.f64 z x))
(+.f64 4 (*.f64 z x))
(+.f64 4 (*.f64 z x))
(*.f64 z x)
(+.f64 4 (*.f64 z x))
(+.f64 4 (*.f64 z x))
(+.f64 4 (*.f64 z x))
(+.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 x z))) y) 0)
(/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (*.f64 z x))) y)
(+.f64 0 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 x z))) y))
(/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (*.f64 z x))) y)
(-.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 x z))) y) 0)
(/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (*.f64 z x))) y)
(.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y) 1)
(/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (*.f64 z x))) y)
(.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y) (/.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y) (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y)))
(/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (*.f64 z x))) y)
(.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y) (.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y) (/.f64 1 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 x z))) y))))
(/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (*.f64 z x))) y)
(.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y) (/.f64 1 (/.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y) (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y))))
(.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 z x))) y) (/.f64 1 (/.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 z x))) y) (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 z x))) y))))
(.f64 (/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (.f64 z x))) y) (/.f64 1 (/.f64 (/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (.f64 z x))) y) (/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (.f64 z x))) y))))
(.f64 1 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y))
(/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (*.f64 z x))) y)
(/.f64 (+.f64 (+.f64 x 8) (-.f64 -4 (*.f64 z x))) y)
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y) (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y)) (/.f64 (-.f64 (+.f64 x 8) (+.f64 4 (.f64 x z))) y))
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(/.f64 (.f64 (+.f64 4 (.f64 x z)) 2) 2)
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localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 y) x)

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite127.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`rational_best-5`
1642×	`rational_best-4`
1642×	`rational_best-2`
1642×	`rational_best-3`
1642×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	56	13
2	177	13
3	733	13
4	3278	13

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify167.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1750×	`rational_best-simplify-80`
1350×	`rational_best-simplify-78`
1084×	`rational_best-simplify-44`
1036×	`rational_best-simplify-132`
930×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	259
1	29	259
2	63	259
3	180	259
4	789	259
5	2501	259
6	4197	259
7	6763	259

Stop Event

1×	node limit

Counts

31 → 9

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(*.f64 (neg.f64 (/.f64 z y)) x)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`rational_best-simplify-57`
720×	`rational_best-simplify-80`
632×	`rational_best-simplify-44`
550×	`rational_best-simplify-43`
514×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	79	17
2	273	17
3	1086	17
4	4788	17

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify164.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1786×	`rational_best-simplify-132`
1456×	`rational_best-simplify-80`
1320×	`rational_best-simplify-78`
1020×	`rational_best-simplify-2`
884×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	888
1	62	816
2	113	816
3	272	816
4	1261	816
5	3517	816
6	6560	816

Stop Event

1×	node limit

Counts

48 → 16

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z))
	3.8b	(*.f64 (/.f64 x y) z)

Compiler

Compiled 33 to 7 computations (78.8% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`rational_best-simplify-57`
698×	`rational_best-simplify-80`
582×	`rational_best-simplify-43`
492×	`rational_best-simplify-44`
490×	`rational_best-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	67	19
2	237	19
3	1008	19
4	4478	19

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 x y) z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 2) (-.f64 0 (*.f64 (/.f64 x y) (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (+.f64 z 1)) (*.f64 (neg.f64 (*.f64 (/.f64 x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (*.f64 (/.f64 x y) z)) 2) (*.f64 (/.f64 x y) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 (-.f64 1 z) (/.f64 (/.f64 x y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 (-.f64 1 z) (*.f64 (/.f64 x y) (/.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 (/.f64 1 (*.f64 (/.f64 x y) (-.f64 1 z))) (*.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 (/.f64 (/.f64 x y) (/.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) (/.f64 1 (/.f64 x y))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 (/.f64 1 (/.f64 (/.f64 x y) (/.f64 x y))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 (+.f64 z 1) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 (+.f64 z (/.f64 (/.f64 x y) (/.f64 x y))) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 (+.f64 z (*.f64 (/.f64 x y) (/.f64 1 (/.f64 x y)))) (+.f64 z z)))))) 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simplify177.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1794×	`rational_best-simplify-80`
1722×	`rational_best-simplify-78`
1660×	`rational_best-simplify-54`
1540×	`rational_best-simplify-94`
872×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	3399
1	276	3327
2	633	3327
3	1528	3313
4	3993	3293

Stop Event

1×	node limit

Counts

85 → 112

Calls

Call 1

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

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

localize307.0ms (2.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))
✓	3.4b	(/.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z)))) (.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))))) (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z)))) y)
✓	14.2b	(.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z)))) (.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))))) (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z))))
✓	15.0b	(.f64 (/.f64 1 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z)))) (.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))))

Compiler

Compiled 252 to 144 computations (42.9% saved)

series4.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational_best-simplify-47`
1112×	`rational_best-5`
1110×	`rational_best-4`
1110×	`rational_best-2`
1110×	`rational_best-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	177
1	151	69
2	489	69
3	2186	69

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify322.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational_best-simplify-46`
1092×	`rational_best-simplify-45`
910×	`rational_best-simplify-2`
908×	`rational_best-simplify-1`
620×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	4864
1	408	4682
2	692	4678
3	1830	4674
4	3964	4674

Stop Event

1×	node limit

Counts

128 → 143

Calls

Call 1

Inputs
1/4
(+.f64 1/4 (.f64 -1/16 (.f64 (-.f64 1 z) x)))
(+.f64 (.f64 1/64 (.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2))) (+.f64 1/4 (.f64 -1/16 (.f64 (-.f64 1 z) x))))
(+.f64 (.f64 1/64 (.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/256 (.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (+.f64 1/4 (.f64 -1/16 (.f64 (-.f64 1 z) x)))))
(/.f64 1 (*.f64 (-.f64 1 z) x))
(-.f64 (/.f64 1 (.f64 (-.f64 1 z) x)) (.f64 4 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (-.f64 1 z) x)) (.f64 16 (/.f64 1 (.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))))) (.f64 4 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (-.f64 1 z) x)) (.f64 16 (/.f64 1 (.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))))) (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)))) (.f64 64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 z) 4) (pow.f64 x 4))))))
(/.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))
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 z 2))) (/.f64 1 (*.f64 z x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (+.f64 4 x)) (.f64 (pow.f64 z 3) x))) (.f64 -1 (/.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 z 2)))) (/.f64 1 (*.f64 z x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 (+.f64 4 x) 2)) (.f64 (pow.f64 z 4) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (+.f64 4 x)) (.f64 (pow.f64 z 3) x))) (.f64 -1 (/.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 z 2))))) (/.f64 1 (*.f64 z x)))
(/.f64 -1 (*.f64 z x))
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 z 2))) (/.f64 1 (*.f64 z x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (+.f64 4 x)) (.f64 (pow.f64 z 3) x))) (.f64 -1 (/.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 z 2)))) (/.f64 1 (*.f64 z x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 (+.f64 4 x) 2)) (.f64 (pow.f64 z 4) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (+.f64 4 x)) (.f64 (pow.f64 z 3) x))) (.f64 -1 (/.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 z 2))))) (/.f64 1 (*.f64 z x)))
4
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(+.f64 4 (*.f64 (-.f64 1 z) x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 (.f64 (+.f64 (.f64 -1 z) 1) x))
(+.f64 4 x)
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 -1 (.f64 z x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 -1 (.f64 z x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 4 (+.f64 (.f64 -1 (.f64 z x)) x))
(/.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 1 (-.f64 (+.f64 x 4) (*.f64 x z))) 0)
(+.f64 0 (/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z))))
(-.f64 (/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z))) 0)
(/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z))) 1)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z)))))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z)))) (/.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z))))))
(/.f64 (.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) 2) 2)
(pow.f64 (/.f64 1 (-.f64 (+.f64 x 4) (*.f64 x z))) 1)
(+.f64 (+.f64 x 4) (neg.f64 (*.f64 x z)))
(+.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) 0)
(+.f64 0 (-.f64 (+.f64 x 4) (*.f64 x z)))
(+.f64 (neg.f64 (*.f64 x z)) (+.f64 x 4))
(+.f64 (+.f64 x (+.f64 4 (.f64 x z))) (-.f64 0 (.f64 x (+.f64 z z))))
(-.f64 (+.f64 x 4) (*.f64 x z))
(-.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) 0)
(-.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) (-.f64 (+.f64 x 4) (+.f64 x 4)))
(-.f64 0 (-.f64 (*.f64 x z) (+.f64 x 4)))
(-.f64 (+.f64 x (+.f64 x 8)) (+.f64 x (+.f64 4 (*.f64 x z))))
(-.f64 (+.f64 x (+.f64 4 (.f64 x z))) (.f64 x (+.f64 z z)))
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) 1)
(/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z))))
(/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (/.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z)))))
(/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) -1)
(/.f64 (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) 2) 2)
(/.f64 (.f64 (-.f64 (.f64 x z) (+.f64 x 4)) 2) -2)
(pow.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) 1)
(neg.f64 (-.f64 (*.f64 x z) (+.f64 x 4)))
(+.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 0)
(+.f64 0 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(-.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 0)
(.f64 1 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y))
(.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) 1)
(.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)))
(.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 1 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))
(.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 1 (/.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y))))
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y))
(.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(.f64 (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (/.f64 1 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(.f64 (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 1 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y))) (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y))) (.f64 (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 1 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y))) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)) (.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y) (/.f64 (-.f64 (+.f64 x 4) (.f64 x z)) y)))
(pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1)

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

eval1.4s (11.1%)

Compiler: Compiled 30790 to 19038 computations (38.2% saved)

prune535.0ms (4.2%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	801	3	804
Fresh	0	0	0
Picked	0	1	1
Done	3	10	13
Total	804	14	818

Error

Counts

818 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.6b	(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 z x)) y))
	19.0b	(fabs.f64 (/.f64 (-.f64 (+.f64 4 (*.f64 x 2)) x) y))
✓	19.0b	(fabs.f64 (/.f64 (+.f64 4 x) y))
✓	30.6b	(fabs.f64 (/.f64 (*.f64 (-.f64 1 z) x) y))
✓	16.4b	(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z)))) (.f64 (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))) (/.f64 1 (-.f64 (+.f64 x 4) (.f64 x z))))) (.f64 (-.f64 (+.f64 x 4) (.f64 x z)) (-.f64 (+.f64 x 4) (*.f64 x z)))) y))
✓	45.7b	(fabs.f64 (/.f64 x y))
✓	34.6b	(fabs.f64 (/.f64 4 y))
✓	3.6b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
✓	2.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	28.6b	(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
	42.1b	(fabs.f64 (.f64 (/.f64 1 (/.f64 x y)) (.f64 (-.f64 1 z) (*.f64 (/.f64 x y) (/.f64 x y)))))
✓	45.8b	(fabs.f64 (*.f64 (/.f64 1 y) x))
✓	44.8b	(fabs.f64 (*.f64 (neg.f64 (/.f64 z y)) x))
✓	46.4b	(fabs.f64 (neg.f64 (/.f64 (*.f64 z x) y)))

Compiler

Compiled 204 to 139 computations (31.9% saved)

regimes344.0ms (2.7%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

5 calls:

206.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
66.0ms	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
33.0ms	x
10.0ms	y
10.0ms	z

Results

Error	Segments	Branch
0.1b	3	`x`
2.0b	1	`y`
2.0b	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 344 to 194 computations (43.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	931670296.9583023	29955696457550708.0
0.0ms	-3.4377058340405596e+31	-9.875386362629348e+29

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes46.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	x
9.0ms	z
7.0ms	y

Results

Error	Segments	Branch
0.1b	3	`x`
3.6b	1	`y`
3.6b	1	`z`

Compiler

Compiled 115 to 68 computations (40.9% saved)

bsearch19.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	2215100645028254.3	4.77297115125151e+18
17.0ms	-2.5987883944505696e+119	-1.100287728453439e+117

Results

13.0ms	128×	body	256	valid
3.0ms	33×	body	256	infinite

Compiler

Compiled 229 to 167 computations (27.1% saved)

regimes73.0ms (0.6%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	y
24.0ms	x
19.0ms	z

Results

Error	Segments	Branch
6.8b	3	`x`
14.4b	3	`y`
8.6b	3	`z`

Compiler

Compiled 105 to 63 computations (40% saved)

bsearch44.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	4.164457863182622e-62	6.73343834509343e-53
25.0ms	-254730900.89819223	-5.5300788209618874e-5

Results

39.0ms	304×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 515 to 395 computations (23.3% saved)

regimes61.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
20.0ms	y
16.0ms	z

Results

Error	Segments	Branch
6.8b	3	`x`
14.4b	3	`y`
8.6b	3	`z`

Compiler

Compiled 75 to 47 computations (37.3% saved)

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	4.164457863182622e-62	6.73343834509343e-53
22.0ms	-254730900.89819223	-5.5300788209618874e-5

Results

33.0ms	304×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 439 to 338 computations (23% saved)

regimes58.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	x
14.0ms	z
12.0ms	y

Results

Error	Segments	Branch
16.7b	5	`x`
17.8b	3	`y`
9.9b	3	`z`

Compiler

Compiled 49 to 33 computations (32.7% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.6207809216445367e+60	1.0217880965463806e+62
17.0ms	-9.492296466576377e+46	-1.77482314024066e+43

Results

26.0ms	240×	body	256	valid
2.0ms	12×	body	256	infinite

Compiler

Compiled 336 to 255 computations (24.1% saved)

regimes116.0ms (0.9%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	x
19.0ms	z
4.0ms	y

Results

Error	Segments	Branch
16.7b	5	`x`
19.0b	1	`y`
10.4b	5	`z`

Compiler

Compiled 42 to 29 computations (31% saved)

bsearch192.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
10.0ms	1.0217880965463806e+62	2.991419293303058e+62
16.0ms	-9.492296466576377e+46	-1.77482314024066e+43
151.0ms	-2.700698733246923e+95	-2.8111932135648375e+90
15.0ms	-6.5750484599426835e+155	-6.249782868215285e+154

Results

136.0ms	31×	body	256	infinite
51.0ms	448×	body	256	valid

Compiler

Compiled 609 to 463 computations (24% saved)

regimes15.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
4.0ms	x
4.0ms	z

Results

Error	Segments	Branch
19.0b	1	`x`
19.0b	1	`y`
19.0b	1	`z`

Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes32.0ms (0.3%)

Accuracy

Total -41.1b remaining (-209.5%)

Threshold costs -41.1b (-209.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
10.0ms	x
6.0ms	y

Results

Error	Segments	Branch
19.6b	3	`x`
33.5b	2	`y`
31.4b	5	`z`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch125.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
103.0ms	9.921743771745675e-7	15536474.433874061
22.0ms	-254730900.89819223	-5.5300788209618874e-5

Results

35.0ms	320×	body	256	valid
2.0ms	16×	body	256	infinite

Compiler

Compiled 341 to 275 computations (19.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	733

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)) -19999999999999999271792589930496) (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)) 1000000000) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 z x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -2200000000000000139218750274411627023270149974872160690365627959822031266999451654860711819383148699616286315015831552) (fabs.f64 (.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 4000000000000000) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -78) (fabs.f64 (.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 7067388259113537/110427941548649020598956093796432407239217743554726184882600387580788736) (fabs.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -4496393867966703/576460752303423488) (fabs.f64 (.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 3666552746732487/107839786668602559178668060348078522694548577690162289924414440996864) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 z -1280000000000000017839630970805004688731144192) (fabs.f64 (.f64 (neg.f64 (/.f64 z y)) x)) (if (<=.f64 z 22000000000000000313764669241588296131486159691790157990592512) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (.f64 (neg.f64 (/.f64 z y)) x))))
(if (<=.f64 z -240000000000000020775936623993197664595541584353290813696206738752632147476268693708790411082841375635030456982795842163077242077454820963136021701981110272) (fabs.f64 (neg.f64 (/.f64 (.f64 z x) y))) (if (<=.f64 z -11200000000000000167397480713115346606031076465569973695575408610052957195856072420781719552) (fabs.f64 (/.f64 (+.f64 4 x) y)) (if (<=.f64 z -120000000000000006624225560654490289165041664) (fabs.f64 (neg.f64 (/.f64 (.f64 z x) y))) (if (<=.f64 z 194999999999999999407601385518172905936769578569333350739214336) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (neg.f64 (/.f64 (*.f64 z x) y)))))))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(if (<=.f64 x -3/2) (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)) -19999999999999999271792589930496) (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)) 1000000000) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 z x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -2200000000000000139218750274411627023270149974872160690365627959822031266999451654860711819383148699616286315015831552) (fabs.f64 (.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 4000000000000000) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -78) (fabs.f64 (.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 7067388259113537/110427941548649020598956093796432407239217743554726184882600387580788736) (fabs.f64 (+.f64 (.f64 4 (/.f64 1 y)) (/.f64 x y))) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -4496393867966703/576460752303423488) (fabs.f64 (.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 3666552746732487/107839786668602559178668060348078522694548577690162289924414440996864) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 z -1280000000000000017839630970805004688731144192) (fabs.f64 (.f64 (neg.f64 (/.f64 z y)) x)) (if (<=.f64 z 22000000000000000313764669241588296131486159691790157990592512) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (.f64 (neg.f64 (/.f64 z y)) x))))
(if (<=.f64 z -240000000000000020775936623993197664595541584353290813696206738752632147476268693708790411082841375635030456982795842163077242077454820963136021701981110272) (fabs.f64 (neg.f64 (/.f64 (.f64 z x) y))) (if (<=.f64 z -11200000000000000167397480713115346606031076465569973695575408610052957195856072420781719552) (fabs.f64 (/.f64 (+.f64 4 x) y)) (if (<=.f64 z -120000000000000006624225560654490289165041664) (fabs.f64 (neg.f64 (/.f64 (.f64 z x) y))) (if (<=.f64 z 194999999999999999407601385518172905936769578569333350739214336) (fabs.f64 (/.f64 (+.f64 4 x) y)) (fabs.f64 (neg.f64 (/.f64 (*.f64 z x) y)))))))
(fabs.f64 (/.f64 (+.f64 4 x) y))
(if (<=.f64 x -3/2) (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 294 to 176 computations (40.1% saved)

soundness204.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1304×	`rational_best-simplify-48`
1126×	`rational_best-simplify-52`
884×	`rational_best-simplify-2`
808×	`rational_best-simplify-51`
544×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	3689
1	269	3503
2	792	3503
3	1907	3495
4	5925	3495

Stop Event

1×	node limit

Compiler

Compiled 23 to 14 computations (39.1% saved)

end100.0ms (0.8%)

Compiler: Compiled 270 to 146 computations (45.9% saved)