Details

analyze514.0ms (9.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
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
26.2%	25%	70.2%	0.1%	4.7%	0%	0%	9
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
47.1%	44.5%	49.9%	0.1%	5.5%	0%	0%	11
54.9%	50.3%	41.3%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.5s (65%)

Results

3.2s	8256×	body	256	valid
323.0ms	395×	body	256	infinite

Bogosity

preprocess84.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

30×	`rational.json-simplify-2`
14×	`rational.json-simplify-43`
2×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	24	76
2	34	76
3	41	76
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

Inputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 (.f64 y 3) x) z)
(-.f64 (.f64 (.f64 z 3) y) x)
(-.f64 (.f64 (.f64 x 3) z) y)

Outputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 3 (.f64 x y)) z)
(-.f64 (.f64 (.f64 y 3) x) z)
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 3 (.f64 x y)) z)
(-.f64 (.f64 (.f64 z 3) y) x)
(-.f64 (.f64 y (.f64 3 z)) x)
(-.f64 (.f64 3 (.f64 z y)) x)
(-.f64 (.f64 3 (.f64 y z)) x)
(-.f64 (.f64 (.f64 x 3) z) y)
(-.f64 (.f64 3 (.f64 x z)) y)

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	11	19
2	15	19
3	19	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x 3) y) z)

Outputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 x (.f64 3 y)) z)

eval0.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
▶	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)

Compiler

Compiled 20 to 14 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	0.2b	(.f64 x (.f64 3 y))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(.f64 x (.f64 3 y))
1.0ms	y	@	0	(.f64 x (.f64 3 y))
1.0ms	x	@	inf	(.f64 x (.f64 3 y))
1.0ms	x	@	0	(.f64 x (.f64 3 y))
0.0ms	z	@	0	(-.f64 (.f64 x (.f64 3 y)) z)

rewrite107.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`exponential.json-3`
1446×	`rational.json-1`
1446×	`rational.json-2`
1446×	`rational.json-4`
1446×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	60	32
2	136	32
3	293	32
4	548	32
5	1289	32
6	2825	32
7	4972	32
8	6618	32

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(.f64 x (.f64 3 y))
(-.f64 (.f64 x (.f64 3 y)) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 y y)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 y 3/2)) (.f64 x (.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 y 12)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 24 (.f64 x y)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 24 (.f64 x y))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 x y)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 x y))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 x y)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 3 y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 3 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (.f64 3 y)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 x (.f64 3 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (.f64 x (.f64 3 y)) (-.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 y y)) (-.f64 (.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (.f64 x (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 x (.f64 3 y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x (.f64 3 y)) (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 y 3/2)) (-.f64 (.f64 x (.f64 y 3/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) (+.f64 (.f64 x (.f64 3 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x (.f64 3 y)) 1) (-.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) -1) (+.f64 1 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 x (.f64 3 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (.f64 y 6)) (+.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 z (.f64 x (.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (.f64 x (.f64 3 y)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (/.f64 (.f64 x (.f64 3 y)) 4) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (.f64 (.f64 y 3/2) (/.f64 x 2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (.f64 (/.f64 x 2) (.f64 y 3/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (.f64 (.f64 x 3/2) (.f64 y 1/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 z (.f64 x (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 x (.f64 y 6)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x (.f64 3 y)) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (.f64 y 6)) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (.f64 x (.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 z z) (.f64 x (.f64 y 6))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 z (.f64 x (*.f64 3 y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y y)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 x (*.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 12)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 24 (*.f64 x y)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 24 (*.f64 x y))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 x y)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 x y))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 x y)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (*.f64 3 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x (*.f64 3 y)) (-.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (-.f64 (*.f64 x (+.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y y)) (-.f64 (*.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 x (*.f64 3 y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (*.f64 3 y)) (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y 3/2)) (-.f64 (*.f64 x (*.f64 y 3/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)) (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) (+.f64 (*.f64 x (*.f64 3 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (*.f64 3 y)) 1) (-.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)) -1) (+.f64 1 (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (*.f64 3 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 y 6)) (+.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z (*.f64 x (*.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (*.f64 x (*.f64 3 y)) 4) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 y 3/2) (/.f64 x 2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (/.f64 x 2) (*.f64 y 3/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 y 1/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 y 12)) (*.f64 z 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 z (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 x (*.f64 y 6)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 x (*.f64 y 12)) (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 y 6)) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (*.f64 x (*.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 y 12)) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 z z) (*.f64 x (*.f64 y 6))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z 4) (*.f64 x (*.f64 y 12))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 z 4) (*.f64 x (*.f64 y 12)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 z 4) (*.f64 x (*.f64 y 12))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 z (*.f64 x (*.f64 3 y))))))))

simplify209.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1984×	`rational.json-simplify-35`
1516×	`rational.json-simplify-2`
1206×	`rational.json-simplify-1`
880×	`rational.json-simplify-45`
748×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	2422
1	332	2166
2	665	2166
3	1741	2166
4	4022	2166
5	5226	2166
6	6110	2166
7	6882	2166
8	7533	2166
9	7805	2166

Stop Event

1×	node limit

Counts

122 → 91

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(*.f64 -1 z)
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(.f64 3 (.f64 y x))
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Outputs
(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
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(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
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(pow.f64 (.f64 x (.f64 3 y)) 1)
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(.f64 (-.f64 z (.f64 x (*.f64 3 y))) -1)
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(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 4 (/.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 4))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 4 (-.f64 (/.f64 (.f64 x (*.f64 3 y)) 4) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (*.f64 3 y) (/.f64 x 4)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (*.f64 y x) 3/4) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (*.f64 y 3/2) (/.f64 x 2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 3/2 (/.f64 x 2))) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (/.f64 x 2) (*.f64 y 3/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 3/2 (/.f64 x 2))) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 x 3/2) (.f64 y 1/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (*.f64 3 y) (/.f64 x 4)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (*.f64 y x) 3/4) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)) 1/4)
(.f64 (-.f64 (.f64 y (.f64 12 x)) (.f64 z 4)) 1/4)
(.f64 (-.f64 (.f64 y (.f64 x 12)) (.f64 z 4)) 1/4)
(.f64 1/4 (-.f64 (.f64 y (.f64 x 12)) (.f64 z 4)))
(.f64 -1 (-.f64 z (.f64 x (*.f64 3 y))))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 1/2 (-.f64 (.f64 x (*.f64 y 6)) (+.f64 z z)))
(.f64 1/2 (-.f64 (.f64 y (*.f64 6 x)) (+.f64 z z)))
(.f64 1/2 (-.f64 (.f64 6 (*.f64 y x)) (+.f64 z z)))
(.f64 1/2 (-.f64 (.f64 y (*.f64 x 6)) (+.f64 z z)))
(.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) 2)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 1/4 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)))
(.f64 (-.f64 (.f64 y (.f64 12 x)) (.f64 z 4)) 1/4)
(.f64 (-.f64 (.f64 y (.f64 x 12)) (.f64 z 4)) 1/4)
(.f64 1/4 (-.f64 (.f64 y (.f64 x 12)) (.f64 z 4)))
(.f64 (/.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 4) 4)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(/.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(/.f64 (-.f64 (.f64 x (.f64 y 6)) (+.f64 z z)) 2)
(/.f64 (-.f64 (.f64 y (.f64 6 x)) (+.f64 z z)) 2)
(/.f64 (-.f64 (.f64 6 (.f64 y x)) (+.f64 z z)) 2)
(/.f64 (-.f64 (.f64 y (.f64 x 6)) (+.f64 z z)) 2)
(/.f64 (-.f64 z (.f64 x (.f64 3 y))) -1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(/.f64 (-.f64 (.f64 x (.f64 y 12)) (*.f64 z 4)) 4)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(/.f64 (.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 8) 8)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(/.f64 (-.f64 (+.f64 z z) (.f64 x (.f64 y 6))) -2)
(/.f64 (-.f64 (+.f64 z z) (.f64 y (.f64 6 x))) -2)
(/.f64 (-.f64 (+.f64 z z) (.f64 6 (.f64 y x))) -2)
(/.f64 (-.f64 (+.f64 z z) (.f64 y (.f64 x 6))) -2)
(/.f64 (-.f64 (.f64 z 4) (.f64 x (*.f64 y 12))) -4)
(/.f64 (-.f64 (.f64 z 4) (.f64 y (*.f64 12 x))) -4)
(/.f64 (-.f64 (.f64 z 4) (.f64 y (*.f64 x 12))) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)) 16)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(/.f64 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12)))) -8)
(.f64 (-.f64 (.f64 z 4) (.f64 y (.f64 12 x))) -1/4)
(.f64 (-.f64 (.f64 z 4) (.f64 y (.f64 x 12))) -1/4)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 8))) 32)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (*.f64 y 12))))) -16)
(.f64 (-.f64 (.f64 z 4) (.f64 y (.f64 12 x))) -1/4)
(.f64 (-.f64 (.f64 z 4) (.f64 y (.f64 x 12))) -1/4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)))) 64)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 8))))) 128)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)
(neg.f64 (-.f64 z (.f64 x (.f64 3 y))))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 y (.f64 3 x)) z)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.2b	(.f64 (.f64 x 3) y)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x 3) y)
0.0ms	x	@	0	(.f64 (.f64 x 3) y)
0.0ms	x	@	-inf	(.f64 (.f64 x 3) y)
0.0ms	x	@	0	(-.f64 (.f64 (.f64 x 3) y) z)
0.0ms	y	@	inf	(-.f64 (.f64 (.f64 x 3) y) z)

rewrite104.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`exponential.json-3`
1400×	`rational.json-1`
1400×	`rational.json-2`
1400×	`rational.json-4`
1400×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	58	32
2	125	32
3	277	32
4	523	32
5	1248	32
6	2757	32
7	4907	32
8	6496	32

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(.f64 (.f64 x 3) y)
(-.f64 (.f64 (.f64 x 3) y) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 y y)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 y 3/2)) (.f64 x (.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 y 12)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 24 (.f64 x y)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 24 (.f64 x y))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 x y)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 x y))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 x y)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 3 y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 3 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (.f64 3 y)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 x (.f64 3 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (.f64 x (.f64 3 y)) (-.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (.f64 x (.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 x (.f64 3 y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x (.f64 3 y)) (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 y 3/2)) (-.f64 (.f64 x (.f64 y 3/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) (+.f64 (.f64 x (.f64 3 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x (.f64 3 y)) 1) (-.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) -1) (-.f64 1 (-.f64 (.f64 z 1/2) (.f64 x (.f64 y 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 x (.f64 3 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (.f64 y 6)) (+.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 z (.f64 x (.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (.f64 x (.f64 3 y)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (/.f64 (.f64 x (.f64 y 6)) 8) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (.f64 (.f64 y 1/2) (.f64 x 3/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (.f64 (.f64 x 3/2) (.f64 y 1/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (.f64 (.f64 y 3/2) (.f64 x 1/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 z (.f64 x (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 x (.f64 y 6)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x (.f64 3 y)) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (.f64 y 6)) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (.f64 x (.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z (-.f64 z (.f64 x (.f64 y 6)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 z (.f64 x (*.f64 3 y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y y)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 x (*.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 12)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 24 (*.f64 x y)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 24 (*.f64 x y))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 x y)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 x y))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 x y)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (*.f64 3 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x (*.f64 3 y)) (-.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (-.f64 (*.f64 x (+.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 x (*.f64 3 y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (*.f64 3 y)) (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)) (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y 3/2)) (-.f64 (*.f64 x (*.f64 y 3/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) (+.f64 (*.f64 x (*.f64 3 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (*.f64 3 y)) 1) (-.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)) -1) (-.f64 1 (-.f64 (*.f64 z 1/2) (*.f64 x (*.f64 y 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (*.f64 3 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 y 6)) (+.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z (*.f64 x (*.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (*.f64 x (*.f64 y 6)) 8) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 y 1/2) (*.f64 x 3/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 y 1/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 y 3/2) (*.f64 x 1/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 y 12)) (*.f64 z 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 z (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 x (*.f64 y 6)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 y 3/2)) (*.f64 z 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 x (*.f64 y 12)) (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 y 6)) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (*.f64 x (*.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 y 12)) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z (-.f64 z (*.f64 x (*.f64 y 6)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z 4) (*.f64 x (*.f64 y 12))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 z 4) (*.f64 x (*.f64 y 12)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 z 4) (*.f64 x (*.f64 y 12))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x (*.f64 3 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 z (*.f64 x (*.f64 3 y))))))))

simplify231.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1860×	`rational.json-simplify-2`
1788×	`rational.json-simplify-35`
1720×	`rational.json-simplify-1`
738×	`rational.json-simplify-41`
718×	`rational.json-simplify-51`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	153	2527
1	331	2303
2	643	2279
3	1605	2279
4	3775	2279
5	5077	2279
6	5867	2279
7	6522	2279
8	7004	2183
9	7180	2183
10	7354	2183

Stop Event

1×	node limit

Counts

121 → 86

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 x (.f64 3 y)) 0)
(+.f64 0 (.f64 x (.f64 3 y)))
(+.f64 (.f64 x y) (.f64 x (+.f64 y y)))
(+.f64 (.f64 x (+.f64 y y)) (.f64 x y))
(+.f64 (.f64 x (.f64 y 3/2)) (.f64 x (.f64 y 3/2)))
(-.f64 (.f64 x (.f64 3 y)) 0)
(/.f64 (.f64 x (.f64 3 y)) 1)
(/.f64 (.f64 x (.f64 y 6)) 2)
(/.f64 (.f64 x (.f64 y 12)) 4)
(/.f64 (.f64 24 (.f64 x y)) 8)
(/.f64 (.f64 2 (.f64 24 (*.f64 x y))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 x y)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (*.f64 x y))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 x y)))))) 128)
(pow.f64 (.f64 x (.f64 3 y)) 1)
(+.f64 (.f64 x (.f64 3 y)) (neg.f64 z))
(+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 0)
(+.f64 0 (-.f64 (.f64 x (.f64 3 y)) z))
(+.f64 1 (+.f64 (.f64 x (.f64 3 y)) (-.f64 -1 z)))
(+.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) z))
(+.f64 (neg.f64 z) (.f64 x (.f64 3 y)))
(+.f64 -1 (+.f64 (.f64 x (.f64 3 y)) (-.f64 1 z)))
(+.f64 (+.f64 (.f64 x (.f64 3 y)) (-.f64 1 z)) -1)
(+.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)))
(+.f64 (.f64 x (.f64 y 3/2)) (-.f64 (.f64 x (.f64 y 3/2)) z))
(+.f64 (-.f64 1 z) (+.f64 (.f64 x (.f64 3 y)) -1))
(+.f64 -2 (+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2))
(+.f64 (+.f64 (.f64 x (.f64 3 y)) 1) (-.f64 -1 z))
(+.f64 (+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2) -2)
(+.f64 (+.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) -1) (-.f64 1 (-.f64 (.f64 z 1/2) (.f64 x (.f64 y 3/2)))))
(.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 1)
(.f64 1 (-.f64 (.f64 x (*.f64 3 y)) z))
(.f64 2 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)))
(.f64 (-.f64 (.f64 x (*.f64 y 6)) (+.f64 z z)) 1/2)
(.f64 (-.f64 z (.f64 x (*.f64 3 y))) -1)
(.f64 4 (/.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 4))
(.f64 4 (-.f64 (/.f64 (.f64 x (*.f64 y 6)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 y 1/2) (.f64 x 3/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 x 3/2) (.f64 y 1/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 y 3/2) (.f64 x 1/2)) (/.f64 z 4)))
(.f64 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)) 1/4)
(.f64 -1 (-.f64 z (.f64 x (*.f64 3 y))))
(.f64 1/2 (-.f64 (.f64 x (*.f64 y 6)) (+.f64 z z)))
(.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) 2)
(.f64 1/4 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)))
(.f64 (/.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 4) 4)
(/.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)
(/.f64 (-.f64 (.f64 x (.f64 y 6)) (+.f64 z z)) 2)
(/.f64 (-.f64 z (.f64 x (.f64 3 y))) -1)
(/.f64 (-.f64 (.f64 x (.f64 y 12)) (*.f64 z 4)) 4)
(/.f64 (+.f64 z (-.f64 z (.f64 x (.f64 y 6)))) -2)
(/.f64 (.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 8) 8)
(/.f64 (-.f64 (.f64 z 4) (.f64 x (*.f64 y 12))) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 8))) 32)
(/.f64 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12)))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (*.f64 y 12))))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 8))))) 128)
(pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)
(neg.f64 (-.f64 z (.f64 x (.f64 3 y))))

Outputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 x (.f64 3 y)) 0)
(.f64 3 (.f64 y x))
(+.f64 0 (.f64 x (.f64 3 y)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 x y) (.f64 x (+.f64 y y)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 x (+.f64 y y)) (.f64 x y))
(.f64 3 (.f64 y x))
(+.f64 (.f64 x (.f64 y 3/2)) (.f64 x (.f64 y 3/2)))
(.f64 3 (.f64 y x))
(-.f64 (.f64 x (.f64 3 y)) 0)
(.f64 3 (.f64 y x))
(/.f64 (.f64 x (.f64 3 y)) 1)
(.f64 3 (.f64 y x))
(/.f64 (.f64 x (.f64 y 6)) 2)
(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
(/.f64 (.f64 24 (.f64 x y)) 8)
(.f64 3 (.f64 y x))
(/.f64 (.f64 2 (.f64 24 (*.f64 x y))) 16)
(.f64 3 (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 x y)))) 32)
(.f64 3 (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (*.f64 x y))))) 64)
(.f64 3 (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 x y)))))) 128)
(.f64 3 (.f64 y x))
(pow.f64 (.f64 x (.f64 3 y)) 1)
(.f64 3 (.f64 y x))
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(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 0)
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(-.f64 (.f64 3 (.f64 y x)) z)
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(-.f64 (.f64 3 (.f64 y x)) z)
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(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (neg.f64 z) (.f64 x (.f64 3 y)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 -1 (+.f64 (.f64 x (.f64 3 y)) (-.f64 1 z)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (+.f64 (.f64 x (.f64 3 y)) (-.f64 1 z)) -1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)))
(+.f64 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)) (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(.f64 2 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(+.f64 (.f64 x (.f64 y 3/2)) (-.f64 (.f64 x (.f64 y 3/2)) z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (-.f64 1 z) (+.f64 (.f64 x (.f64 3 y)) -1))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 -2 (+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (+.f64 (.f64 x (.f64 3 y)) 1) (-.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (+.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2) -2)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (+.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) -1) (-.f64 1 (-.f64 (.f64 z 1/2) (.f64 x (.f64 y 3/2)))))
(+.f64 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)) (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(.f64 2 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 1 (-.f64 (.f64 x (*.f64 3 y)) z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 2 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)))
(+.f64 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)) (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(.f64 2 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(.f64 (-.f64 (.f64 x (*.f64 y 6)) (+.f64 z z)) 1/2)
(.f64 1/2 (-.f64 (.f64 y (*.f64 6 x)) (+.f64 z z)))
(.f64 1/2 (-.f64 (.f64 y (*.f64 x 6)) (+.f64 z z)))
(.f64 (-.f64 z (.f64 x (*.f64 3 y))) -1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 4 (/.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 4))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 4 (-.f64 (/.f64 (.f64 x (*.f64 y 6)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (/.f64 (.f64 y (*.f64 6 x)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (/.f64 (.f64 y (*.f64 x 6)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 y 1/2) (.f64 x 3/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (/.f64 (.f64 y (*.f64 6 x)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (/.f64 (.f64 y (*.f64 x 6)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 x 3/2) (.f64 y 1/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (/.f64 (.f64 y (*.f64 6 x)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (/.f64 (.f64 y (*.f64 x 6)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 y 3/2) (.f64 x 1/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (/.f64 (.f64 y (*.f64 6 x)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (/.f64 (.f64 y (*.f64 x 6)) 8) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)) 1/4)
(.f64 (-.f64 (.f64 y (.f64 12 x)) (.f64 z 4)) 1/4)
(.f64 (-.f64 (.f64 (.f64 y x) 12) (.f64 z 4)) 1/4)
(.f64 1/4 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)))
(.f64 -1 (-.f64 z (.f64 x (*.f64 3 y))))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 1/2 (-.f64 (.f64 x (*.f64 y 6)) (+.f64 z z)))
(.f64 1/2 (-.f64 (.f64 y (*.f64 6 x)) (+.f64 z z)))
(.f64 1/2 (-.f64 (.f64 y (*.f64 x 6)) (+.f64 z z)))
(.f64 (-.f64 (.f64 x (.f64 y 3/2)) (.f64 z 1/2)) 2)
(+.f64 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)) (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(.f64 2 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(.f64 1/4 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)))
(.f64 (-.f64 (.f64 y (.f64 12 x)) (.f64 z 4)) 1/4)
(.f64 (-.f64 (.f64 x (.f64 y 12)) (.f64 z 4)) 1/4)
(.f64 (-.f64 (.f64 (.f64 y x) 12) (.f64 z 4)) 1/4)
(.f64 (/.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 4) 4)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (-.f64 (.f64 x (.f64 y 6)) (+.f64 z z)) 2)
(/.f64 (-.f64 (.f64 y (.f64 6 x)) (+.f64 z z)) 2)
(/.f64 (-.f64 (.f64 y (.f64 x 6)) (+.f64 z z)) 2)
(/.f64 (-.f64 z (.f64 x (.f64 3 y))) -1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (-.f64 (.f64 x (.f64 y 12)) (*.f64 z 4)) 4)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (+.f64 z (-.f64 z (.f64 x (.f64 y 6)))) -2)
(/.f64 (+.f64 z (-.f64 z (.f64 y (.f64 6 x)))) -2)
(/.f64 (+.f64 z (-.f64 z (.f64 y (.f64 x 6)))) -2)
(/.f64 (.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 8) 8)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (-.f64 (.f64 z 4) (.f64 x (*.f64 y 12))) -4)
(/.f64 (-.f64 (.f64 z 4) (.f64 y (*.f64 12 x))) -4)
(/.f64 (-.f64 (.f64 z 4) (.f64 (*.f64 y x) 12)) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)) 16)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 8))) 32)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12)))) -8)
(.f64 (-.f64 (.f64 z 4) (.f64 y (.f64 12 x))) -1/4)
(.f64 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12))) -1/4)
(.f64 (-.f64 (.f64 z 4) (.f64 (.f64 y x) 12)) -1/4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (.f64 3 y)) z) 8)))) 64)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 z 4) (.f64 x (*.f64 y 12))))) -16)
(.f64 (-.f64 (.f64 z 4) (.f64 y (.f64 12 x))) -1/4)
(.f64 (-.f64 (.f64 z 4) (.f64 x (.f64 y 12))) -1/4)
(.f64 (-.f64 (.f64 z 4) (.f64 (.f64 y x) 12)) -1/4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 8))))) 128)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(neg.f64 (-.f64 z (.f64 x (.f64 3 y))))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)

eval37.0ms (0.7%)

Compiler: Compiled 1948 to 1282 computations (34.2% saved)

prune17.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	175	4	179

Error

0.0b

Counts

179 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
▶	0.2b	(-.f64 (.f64 3 (.f64 y x)) z)
▶	29.3b	(neg.f64 z)

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize7.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 3 (.f64 y x)) z)
✓	0.3b	(.f64 3 (.f64 y x))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(.f64 3 (.f64 y x))
0.0ms	y	@	inf	(-.f64 (.f64 3 (.f64 y x)) z)
0.0ms	y	@	0	(.f64 3 (.f64 y x))
0.0ms	y	@	-inf	(.f64 3 (.f64 y x))
0.0ms	y	@	0	(-.f64 (.f64 3 (.f64 y x)) z)

rewrite114.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`rational.json-1`
1620×	`rational.json-2`
1620×	`rational.json-4`
1620×	`rational.json-3`
1350×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	60	32
2	136	32
3	293	32
4	547	32
5	1283	32
6	2820	32
7	5057	32
8	7007	32

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(-.f64 (.f64 3 (.f64 y x)) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x x)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3/2)) (*.f64 y (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y x) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 24 (*.f64 y x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 24 (*.f64 y x))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 y x)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 y x))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 y x))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 y x)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (-.f64 (*.f64 y (+.f64 x x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 3 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 3 (*.f64 y x)) (-.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x x)) (-.f64 (*.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 3 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 3 (*.f64 y x)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 3 (*.f64 y x)) (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y (*.f64 x 3/2)) (*.f64 z 1/2)) (-.f64 (*.f64 y (*.f64 x 3/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3/2)) (-.f64 (*.f64 y (*.f64 x 3/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) (+.f64 (*.f64 3 (*.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 3 (*.f64 y x)) 1) (-.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) z) (*.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y (+.f64 x x)) z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y x) (-.f64 1 z)) (+.f64 (*.f64 y (+.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y (+.f64 x x)) (-.f64 1 z)) (+.f64 (*.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 y (*.f64 x 3/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y (*.f64 x 6)) (+.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z (*.f64 3 (*.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (*.f64 3 (*.f64 y x)) 4) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 x 3/2) (*.f64 y 1/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 y 3/2) (*.f64 x 1/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 y 1/2) (*.f64 x 3/2)) (/.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 y x) 12) (*.f64 z 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 z (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 y (*.f64 x 6)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y (*.f64 x 3/2)) (*.f64 z 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (*.f64 y x) 12) (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y (*.f64 x 6)) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z (*.f64 3 (*.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y x) 12) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z (-.f64 z (*.f64 y (*.f64 x 6)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z 4) (*.f64 (*.f64 y x) 12)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 z 4) (*.f64 (*.f64 y x) 12))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 z 4) (*.f64 (*.f64 y x) 12)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 z (*.f64 3 (*.f64 y x))))))))

simplify229.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1908×	`rational.json-simplify-1`
1844×	`rational.json-simplify-35`
1762×	`rational.json-simplify-2`
846×	`rational.json-simplify-41`
728×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	2155
1	324	1899
2	645	1899
3	1685	1899
4	3963	1899
5	5381	1899
6	6185	1899
7	6747	1899
8	7197	1899
9	7369	1899
10	7603	1899

Stop Event

1×	node limit

Counts

101 → 78

Calls

Call 1

Inputs
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 y x) (.f64 y (+.f64 x x)))
(+.f64 (.f64 3 (.f64 y x)) 0)
(+.f64 0 (.f64 3 (.f64 y x)))
(+.f64 (.f64 y (+.f64 x x)) (.f64 y x))
(+.f64 (.f64 y (.f64 x 3/2)) (.f64 y (.f64 x 3/2)))
(-.f64 (.f64 3 (.f64 y x)) 0)
(/.f64 (.f64 3 (.f64 y x)) 1)
(/.f64 (.f64 y (.f64 x 6)) 2)
(/.f64 (.f64 (.f64 y x) 12) 4)
(/.f64 (.f64 24 (.f64 y x)) 8)
(/.f64 (.f64 2 (.f64 24 (*.f64 y x))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 y x)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (*.f64 y x))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 y x))))) (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 y x)))))) 128)
(pow.f64 (.f64 3 (.f64 y x)) 1)
(+.f64 (.f64 y x) (-.f64 (.f64 y (+.f64 x x)) z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(+.f64 (-.f64 (.f64 3 (.f64 y x)) z) 0)
(+.f64 0 (-.f64 (.f64 3 (.f64 y x)) z))
(+.f64 1 (+.f64 (.f64 3 (.f64 y x)) (-.f64 -1 z)))
(+.f64 (.f64 y (+.f64 x x)) (-.f64 (.f64 y x) z))
(+.f64 (neg.f64 z) (.f64 3 (.f64 y x)))
(+.f64 -1 (+.f64 (.f64 3 (.f64 y x)) (-.f64 1 z)))
(+.f64 (+.f64 (.f64 3 (.f64 y x)) (-.f64 1 z)) -1)
(+.f64 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)) (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(+.f64 (.f64 y (.f64 x 3/2)) (-.f64 (.f64 y (.f64 x 3/2)) z))
(+.f64 (-.f64 1 z) (+.f64 (.f64 3 (.f64 y x)) -1))
(+.f64 -2 (+.f64 (-.f64 (.f64 3 (.f64 y x)) z) 2))
(+.f64 (+.f64 (.f64 3 (.f64 y x)) 1) (-.f64 -1 z))
(+.f64 (-.f64 (.f64 y x) z) (.f64 y (+.f64 x x)))
(+.f64 (-.f64 (.f64 y (+.f64 x x)) z) (.f64 y x))
(+.f64 (+.f64 (.f64 y x) (-.f64 1 z)) (+.f64 (.f64 y (+.f64 x x)) -1))
(+.f64 (+.f64 (.f64 y (+.f64 x x)) (-.f64 1 z)) (+.f64 (.f64 y x) -1))
(+.f64 (+.f64 (-.f64 (.f64 3 (.f64 y x)) z) 2) -2)
(.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 1)
(.f64 1 (-.f64 (.f64 3 (*.f64 y x)) z))
(.f64 2 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(.f64 (-.f64 (.f64 y (*.f64 x 6)) (+.f64 z z)) 1/2)
(.f64 (-.f64 z (.f64 3 (*.f64 y x))) -1)
(.f64 4 (/.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 4))
(.f64 4 (-.f64 (/.f64 (.f64 3 (*.f64 y x)) 4) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 x 3/2) (.f64 y 1/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 y 3/2) (.f64 x 1/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 y 1/2) (.f64 x 3/2)) (/.f64 z 4)))
(.f64 (-.f64 (.f64 (.f64 y x) 12) (.f64 z 4)) 1/4)
(.f64 -1 (-.f64 z (.f64 3 (*.f64 y x))))
(.f64 1/2 (-.f64 (.f64 y (*.f64 x 6)) (+.f64 z z)))
(.f64 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)) 2)
(.f64 1/4 (-.f64 (.f64 (.f64 y x) 12) (.f64 z 4)))
(.f64 (/.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 4) 4)
(/.f64 (-.f64 (.f64 3 (.f64 y x)) z) 1)
(/.f64 (-.f64 (.f64 y (.f64 x 6)) (+.f64 z z)) 2)
(/.f64 (-.f64 z (.f64 3 (.f64 y x))) -1)
(/.f64 (-.f64 (.f64 (.f64 y x) 12) (*.f64 z 4)) 4)
(/.f64 (+.f64 z (-.f64 z (.f64 y (.f64 x 6)))) -2)
(/.f64 (.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 8) 8)
(/.f64 (-.f64 (.f64 z 4) (.f64 (*.f64 y x) 12)) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 3 (.f64 y x)) z) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 8))) 32)
(/.f64 (.f64 2 (-.f64 (.f64 z 4) (.f64 (.f64 y x) 12))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 3 (.f64 y x)) z) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 z 4) (.f64 (*.f64 y x) 12)))) -16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 3 (.f64 y x)) z) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 3 (.f64 y x)) z) 8))))) 128)
(pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 1)
(neg.f64 (-.f64 z (.f64 3 (.f64 y x))))

Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 y x) (.f64 y (+.f64 x x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(+.f64 0 (.f64 3 (.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 y (+.f64 x x)) (.f64 y x))
(.f64 3 (.f64 y x))
(+.f64 (.f64 y (.f64 x 3/2)) (.f64 y (.f64 x 3/2)))
(.f64 3 (.f64 y x))
(-.f64 (.f64 3 (.f64 y x)) 0)
(.f64 3 (.f64 y x))
(/.f64 (.f64 3 (.f64 y x)) 1)
(.f64 3 (.f64 y x))
(/.f64 (.f64 y (.f64 x 6)) 2)
(.f64 3 (.f64 y x))
(/.f64 (.f64 (.f64 y x) 12) 4)
(.f64 3 (.f64 y x))
(/.f64 (.f64 24 (.f64 y x)) 8)
(.f64 3 (.f64 y x))
(/.f64 (.f64 2 (.f64 24 (*.f64 y x))) 16)
(.f64 3 (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 y x)))) 32)
(.f64 3 (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (*.f64 y x))))) 64)
(.f64 3 (.f64 y x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 y x))))) (.f64 2 (.f64 2 (.f64 2 (.f64 24 (.f64 y x)))))) 128)
(.f64 3 (.f64 y x))
(pow.f64 (.f64 3 (.f64 y x)) 1)
(.f64 3 (.f64 y x))
(+.f64 (.f64 y x) (-.f64 (.f64 y (+.f64 x x)) z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (-.f64 (.f64 3 (.f64 y x)) z) 0)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 0 (-.f64 (.f64 3 (.f64 y x)) z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 1 (+.f64 (.f64 3 (.f64 y x)) (-.f64 -1 z)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 y (+.f64 x x)) (-.f64 (.f64 y x) z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (neg.f64 z) (.f64 3 (.f64 y x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 -1 (+.f64 (.f64 3 (.f64 y x)) (-.f64 1 z)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (+.f64 (.f64 3 (.f64 y x)) (-.f64 1 z)) -1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)) (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (.f64 y (.f64 x 3/2)) (-.f64 (.f64 y (.f64 x 3/2)) z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (-.f64 1 z) (+.f64 (.f64 3 (.f64 y x)) -1))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 -2 (+.f64 (-.f64 (.f64 3 (.f64 y x)) z) 2))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (+.f64 (.f64 3 (.f64 y x)) 1) (-.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (-.f64 (.f64 y x) z) (.f64 y (+.f64 x x)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (-.f64 (.f64 y (+.f64 x x)) z) (.f64 y x))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (+.f64 (.f64 y x) (-.f64 1 z)) (+.f64 (.f64 y (+.f64 x x)) -1))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (+.f64 (.f64 y (+.f64 x x)) (-.f64 1 z)) (+.f64 (.f64 y x) -1))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 (+.f64 (-.f64 (.f64 3 (.f64 y x)) z) 2) -2)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 1 (-.f64 (.f64 3 (*.f64 y x)) z))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 2 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 (-.f64 (.f64 y (*.f64 x 6)) (+.f64 z z)) 1/2)
(.f64 1/2 (-.f64 (.f64 y (*.f64 x 6)) (+.f64 z z)))
(.f64 (-.f64 z (.f64 3 (*.f64 y x))) -1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 4 (/.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 4))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 4 (-.f64 (/.f64 (.f64 3 (*.f64 y x)) 4) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (*.f64 y x) 3/4) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 x 3/2) (.f64 y 1/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (*.f64 y x) 3/4) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 y 3/2) (.f64 x 1/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (*.f64 y x) 3/4) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (.f64 y 1/2) (.f64 x 3/2)) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 (*.f64 y x) 3/4) (/.f64 z 4)))
(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
(.f64 (-.f64 (.f64 (.f64 y x) 12) (.f64 z 4)) 1/4)
(.f64 (-.f64 (.f64 y (.f64 x 12)) (.f64 z 4)) 1/4)
(.f64 1/4 (-.f64 (.f64 y (.f64 x 12)) (.f64 z 4)))
(.f64 -1 (-.f64 z (.f64 3 (*.f64 y x))))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 1/2 (-.f64 (.f64 y (*.f64 x 6)) (+.f64 z z)))
(.f64 (-.f64 (.f64 y (.f64 x 3/2)) (.f64 z 1/2)) 2)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(.f64 1/4 (-.f64 (.f64 (.f64 y x) 12) (.f64 z 4)))
(.f64 (-.f64 (.f64 (.f64 y x) 12) (.f64 z 4)) 1/4)
(.f64 (-.f64 (.f64 y (.f64 x 12)) (.f64 z 4)) 1/4)
(.f64 1/4 (-.f64 (.f64 y (.f64 x 12)) (.f64 z 4)))
(.f64 (/.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 4) 4)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (-.f64 (.f64 3 (.f64 y x)) z) 1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (-.f64 (.f64 y (.f64 x 6)) (+.f64 z z)) 2)
(/.f64 (-.f64 z (.f64 3 (.f64 y x))) -1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (-.f64 (.f64 (.f64 y x) 12) (*.f64 z 4)) 4)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (+.f64 z (-.f64 z (.f64 y (.f64 x 6)))) -2)
(/.f64 (.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 8) 8)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (-.f64 (.f64 z 4) (.f64 (*.f64 y x) 12)) -4)
(/.f64 (-.f64 (.f64 z 4) (.f64 y (*.f64 x 12))) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 3 (.f64 y x)) z) 8)) 16)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 8))) 32)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (.f64 2 (-.f64 (.f64 z 4) (.f64 (.f64 y x) 12))) -8)
(.f64 (-.f64 (.f64 z 4) (.f64 (.f64 y x) 12)) -1/4)
(.f64 (-.f64 (.f64 z 4) (.f64 y (.f64 x 12))) -1/4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 3 (.f64 y x)) z) 8)))) 64)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 z 4) (.f64 (*.f64 y x) 12)))) -16)
(.f64 (-.f64 (.f64 z 4) (.f64 (.f64 y x) 12)) -1/4)
(.f64 (-.f64 (.f64 z 4) (.f64 y (.f64 x 12))) -1/4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 3 (.f64 y x)) z) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 3 (.f64 y x)) z) 8))))) 128)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 1)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(neg.f64 (-.f64 z (.f64 3 (.f64 y x))))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)

eval16.0ms (0.3%)

Compiler: Compiled 877 to 529 computations (39.7% saved)

prune13.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	77	5	82

Error

0.0b

Counts

82 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	0.2b	(-.f64 (.f64 3 (.f64 y x)) z)
▶	34.5b	(.f64 3 (.f64 y x))
✓	29.3b	(neg.f64 z)

Compiler

Compiled 43 to 31 computations (27.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(.f64 3 (.f64 y x))

Compiler

Compiled 14 to 7 computations (50% saved)

eval3.0ms (0.1%)

Compiler: Compiled 146 to 91 computations (37.7% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	15	5	20

Error

0.0b

Counts

20 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	0.2b	(-.f64 (.f64 3 (.f64 y x)) z)
✓	34.5b	(.f64 3 (.f64 y x))
✓	29.3b	(neg.f64 z)

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes31.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 3 (.f64 y x))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 (.f64 x 3) y) z)

Outputs
(-.f64 (.f64 x (.f64 3 y)) z)

Calls

6 calls:

6.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
5.0ms	y
5.0ms	(*.f64 x 3)
4.0ms	z
4.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) y) z)`
0.1b	1	`(.f64 (.f64 x 3) y)`
0.1b	1	`(*.f64 x 3)`

Compiler

Compiled 67 to 45 computations (32.8% saved)

regimes14.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 3 (.f64 y x))
(-.f64 (.f64 3 (.f64 y x)) z)

Outputs
(-.f64 (.f64 3 (.f64 y x)) z)

Calls

3 calls:

5.0ms	z
5.0ms	x
3.0ms	y

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes41.0ms (0.7%)

Accuracy

Total -46.8b remaining (-313.6%)

Threshold costs -46.8b (-313.6%)

Counts

2 → 3

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 3 (.f64 y x))

Outputs
(neg.f64 z)
(.f64 3 (.f64 y x))
(neg.f64 z)

Calls

3 calls:

18.0ms	x
12.0ms	y
10.0ms	z

Results

Error	Segments	Branch
18.9b	5	`x`
17.7b	3	`y`
14.9b	3	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch29.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5763.062062819997	1.1320993535749533e+29
11.0ms	-2.0373864236510175e-23	-3.0244557504400452e-24

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 271 to 216 computations (20.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	84

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(if (<=.f64 z -3266710722441009/680564733841876926926749214863536422912) (neg.f64 z) (if (<=.f64 z 38000000000000000000) (.f64 3 (.f64 y x)) (neg.f64 z)))
(neg.f64 z)

Outputs
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(if (<=.f64 z -3266710722441009/680564733841876926926749214863536422912) (neg.f64 z) (if (<=.f64 z 38000000000000000000) (.f64 3 (.f64 y x)) (neg.f64 z)))
(neg.f64 z)

Compiler

Compiled 45 to 31 computations (31.1% saved)

soundness11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	11	19
2	15	19
3	19	19

Stop Event

1×

saturated

Compiler

Compiled 24 to 15 computations (37.5% saved)

end41.0ms (0.7%)

Compiler: Compiled 56 to 34 computations (39.3% saved)

Details

analyze514.0ms (9.4%)

sample3.5s (65%)

preprocess84.0ms (1.5%)

simplify10.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite107.0ms (2%)

simplify209.0ms (3.8%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite104.0ms (1.9%)

simplify231.0ms (4.2%)

eval37.0ms (0.7%)

prune17.0ms (0.3%)

localize7.0ms (0.1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite114.0ms (2.1%)

simplify229.0ms (4.2%)

eval16.0ms (0.3%)

prune13.0ms (0.2%)

localize5.0ms (0.1%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes31.0ms (0.6%)

regimes14.0ms (0.3%)

regimes41.0ms (0.7%)

bsearch29.0ms (0.5%)

simplify3.0ms (0.1%)

soundness11.0ms (0.2%)

end41.0ms (0.7%)

Profiling