Details

analyze433.0ms (5.1%)

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)

sample1.6s (19.2%)

Results

1.6s	8256×	body	256	valid
32.0ms	376×	body	256	infinite

Bogosity

preprocess11.0ms (0.1%)

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 (0.1%)

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

0.0b

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)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite112.0ms (1.3%)

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 (2.4%)

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)

localize10.0ms (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)

series1.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite107.0ms (1.2%)

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))))))))

simplify235.0ms (2.8%)

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))
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(.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))
(/.f64 (.f64 x (.f64 y 12)) 4)
(.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)
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(+.f64 0 (-.f64 (.f64 x (.f64 3 y)) z))
(+.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 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)

eval964.0ms (11.3%)

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

prune16.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	174	5	179

Error

0.0b

Counts

179 → 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)
▶	0.1b	(+.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) z))
▶	27.6b	(neg.f64 z)

Compiler

Compiled 49 to 33 computations (32.7% saved)

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x (+.f64 y y)) z)
✓	0.1b	(+.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) z))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite340.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`rational.json-simplify-35`
1392×	`rational.json-1`
1392×	`rational.json-2`
1392×	`rational.json-3`
1388×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	65	50
2	136	50
3	290	50
4	571	42
5	1430	42
6	2955	42
7	4919	42
8	6762	42

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify571.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

2168×	`rational.json-simplify-35`
1810×	`rational.json-simplify-1`
1496×	`rational.json-simplify-45`
1374×	`rational.json-simplify-2`
1108×	`rational.json-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	181	3972
1	403	3520
2	782	3454
3	1879	3454
4	3562	3160
5	4506	3160
6	5036	3160
7	5822	3160
8	6501	3160
9	6688	3160
10	6848	3160
11	6939	3160
12	7386	3160
13	7426	3160

Stop Event

1×	node limit

Counts

140 → 122

Calls

Call 1

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

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

localize10.0ms (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	@	0	(.f64 3 (.f64 y x))
0.0ms	x	@	-inf	(-.f64 (.f64 3 (.f64 y x)) z)
0.0ms	y	@	-inf	(.f64 3 (.f64 y x))
0.0ms	y	@	0	(-.f64 (.f64 3 (.f64 y x)) z)

rewrite112.0ms (1.3%)

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))))))))

simplify384.0ms (4.5%)

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)))
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(-.f64 (.f64 3 (.f64 y x)) 0)
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(/.f64 (.f64 (.f64 y x) 12) 4)
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(/.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)
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(.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)))
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(/.f64 (-.f64 (.f64 3 (.f64 y x)) z) 1)
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(/.f64 (-.f64 (.f64 (.f64 y x) 12) (*.f64 z 4)) 4)
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(pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 1)
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Outputs
(*.f64 -1 z)
(neg.f64 z)
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(.f64 3 (.f64 y x))
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(.f64 3 (.f64 y x))
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(*.f64 -1 z)
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(*.f64 -1 z)
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(.f64 3 (.f64 y x))
(pow.f64 (.f64 3 (.f64 y x)) 1)
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(.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)))
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(.f64 4 (-.f64 (.f64 y (*.f64 x 3/4)) (/.f64 z 4)))
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(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)

eval183.0ms (2.1%)

Compiler: Compiled 2495 to 1340 computations (46.3% saved)

prune31.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	199	6	205

Error

0.0b

Counts

205 → 6

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)
✓	0.1b	(+.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) z))
▶	35.2b	(.f64 x (.f64 y 3))
▶	35.2b	(.f64 3 (.f64 y x))
✓	27.6b	(neg.f64 z)

Compiler

Compiled 55 to 38 computations (30.9% 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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite313.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3224×	`rational.json-simplify-35`
2058×	`rational.json-simplify-2`
1176×	`rational.json-1`
1176×	`rational.json-2`
1040×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	114	13
3	239	13
4	433	13
5	994	13
6	2200	13
7	3465	13
8	3965	13
9	4661	13
10	5468	13
11	5881	13
12	5881	13
13	6434	13
14	6570	13
15	7028	13
16	7899	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 y 3)))))) (#(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 y 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 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 (*.f64 y (*.f64 x 6)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y (*.f64 x 6)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 x 6)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 x 6)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 x 6)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 x 6)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 x 6)) 4))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 x 6)) 4)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 x 6)) 4)))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 x 6)) 4))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y 3)) 1)))))

simplify488.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

3756×	`rational.json-simplify-35`
1608×	`rational.json-simplify-2`
1224×	`exponential.json-simplify-26`
1138×	`rational.json-simplify-1`
1132×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	559
1	160	559
2	308	559
3	693	559
4	1998	559
5	4102	559
6	5180	559
7	5784	559
8	6155	559
9	6173	559
10	6175	559
11	6838	559
12	6852	559
13	6852	559
14	7091	559
15	7308	559
16	7514	559
17	7719	559
18	7924	559

Stop Event

1×	node limit

Counts

43 → 22

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 (.f64 x (.f64 y 3)) 0)
(+.f64 0 (.f64 x (.f64 y 3)))
(+.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 y 3)) 0)
(/.f64 (.f64 x (.f64 y 3)) 1)
(/.f64 (.f64 y (.f64 x 6)) 2)
(/.f64 (.f64 x (.f64 y 12)) 4)
(/.f64 (.f64 (.f64 y (*.f64 x 6)) 4) 8)
(/.f64 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 x 6)) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 x 6)) 4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 x 6)) 4))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)))))))) 1024)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4))))))))) 2048)
(pow.f64 (.f64 x (.f64 y 3)) 1)

Outputs
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(+.f64 (.f64 x (.f64 y 3)) 0)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 0 (.f64 x (.f64 y 3)))
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 x y) (.f64 x (+.f64 y y)))
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 x (+.f64 y y)) (.f64 x y))
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 x (.f64 y 3/2)) (.f64 x (.f64 y 3/2)))
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(-.f64 (.f64 x (.f64 y 3)) 0)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 x (.f64 y 3)) 1)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 y (.f64 x 6)) 2)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 x (.f64 y 12)) 4)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 (.f64 y (*.f64 x 6)) 4) 8)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)) 16)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 x 6)) 4))) 32)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)))) 64)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 x 6)) 4))))) 128)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)))))) 256)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 x 6)) 4))))))) 512)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)))))))) 1024)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 x 6)) 4))))))))) 2048)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (.f64 x (.f64 y 3)) 1)
(.f64 y (.f64 x 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))

eval8.0ms (0.1%)

Compiler: Compiled 412 to 299 computations (27.4% saved)

prune7.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	36	7	43

Error

0.0b

Counts

43 → 7

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)
✓	0.1b	(+.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) z))
▶	35.2b	(.f64 y (.f64 x 3))
✓	35.2b	(.f64 x (.f64 y 3))
✓	35.2b	(.f64 3 (.f64 y x))
✓	27.6b	(neg.f64 z)

Compiler

Compiled 63 to 44 computations (30.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite306.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3224×	`rational.json-simplify-35`
2058×	`rational.json-simplify-2`
1176×	`rational.json-1`
1176×	`rational.json-2`
1040×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	114	13
3	239	13
4	433	13
5	994	13
6	2200	13
7	3465	13
8	3965	13
9	4661	13
10	5468	13
11	5881	13
12	5881	13
13	6434	13
14	6570	13
15	7028	13
16	7899	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 x 3)))))) (#(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 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 y (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 12)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 y 6)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (*.f64 y 6)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (*.f64 y 6)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (*.f64 y 6)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (*.f64 y 6)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (*.f64 y 6)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (*.f64 y 6)) 4))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (*.f64 y 6)) 4)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (*.f64 y 6)) 4)))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (*.f64 y 6)) 4))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x 3)) 1)))))

simplify505.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

3848×	`rational.json-simplify-35`
1590×	`rational.json-simplify-2`
1226×	`exponential.json-simplify-26`
1142×	`rational.json-simplify-1`
1108×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	559
1	157	559
2	316	559
3	713	559
4	2021	559
5	4109	559
6	5162	559
7	5770	559
8	6153	559
9	6183	559
10	6196	559
11	6874	559
12	6892	559
13	6892	559
14	7136	559
15	7358	559
16	7569	559
17	7779	559
18	7989	559

Stop Event

1×	node limit

Counts

43 → 21

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 (.f64 y (.f64 x 3)) 0)
(+.f64 0 (.f64 y (.f64 x 3)))
(+.f64 (.f64 y x) (.f64 y (+.f64 x 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 y (.f64 x 3)) 0)
(/.f64 (.f64 y (.f64 x 3)) 1)
(/.f64 (.f64 x (.f64 y 6)) 2)
(/.f64 (.f64 y (.f64 x 12)) 4)
(/.f64 (.f64 (.f64 x (*.f64 y 6)) 4) 8)
(/.f64 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (*.f64 y 6)) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (*.f64 y 6)) 4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (*.f64 y 6)) 4))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)))))))) 1024)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4))))))))) 2048)
(pow.f64 (.f64 y (.f64 x 3)) 1)

Outputs
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 0 (.f64 y (.f64 x 3)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 y x) (.f64 y (+.f64 x x)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 y (+.f64 x x)) (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 y (.f64 x 3/2)) (.f64 y (.f64 x 3/2)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(-.f64 (.f64 y (.f64 x 3)) 0)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 y (.f64 x 3)) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 x (.f64 y 6)) 2)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 y (.f64 x 12)) 4)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 (.f64 x (*.f64 y 6)) 4) 8)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)) 16)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (*.f64 y 6)) 4))) 32)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)))) 64)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (*.f64 y 6)) 4))))) 128)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)))))) 256)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (*.f64 y 6)) 4))))))) 512)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)))))))) 1024)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 y 6)) 4))))))))) 2048)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (.f64 y (.f64 x 3)) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))

eval5.0ms (0.1%)

Compiler: Compiled 264 to 208 computations (21.2% saved)

prune272.0ms (3.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	21	7	28

Error

0.0b

Counts

28 → 7

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)
✓	0.1b	(+.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) z))
✓	35.2b	(.f64 y (.f64 x 3))
✓	35.2b	(.f64 x (.f64 y 3))
✓	35.2b	(.f64 3 (.f64 y x))
✓	27.6b	(neg.f64 z)

Compiler

Compiled 63 to 44 computations (30.2% saved)

regimes105.0ms (1.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

75.0ms	(.f64 (.f64 x 3) y)
6.0ms	z
6.0ms	x
5.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
5.0ms	(*.f64 x 3)

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 88 to 56 computations (36.4% saved)

regimes22.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
5.0ms	z
5.0ms	(*.f64 x 3)
5.0ms	y

Results

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

Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes19.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`(*.f64 x 3)`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes239.0ms (2.8%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

4 calls:

131.0ms	x
76.0ms	z
18.0ms	(*.f64 x 3)
14.0ms	y

Results

Error	Segments	Branch
16.0b	5	`x`
19.2b	3	`y`
13.0b	7	`z`
16.0b	5	`(*.f64 x 3)`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch247.0ms (2.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	1.1996339278210085e+40	1.505933539303172e+62
15.0ms	351940465359154240.0	6.374039875882139e+20
16.0ms	4.1068838593116124e-63	1.125071024180656e-51
14.0ms	-6.038702590093939e-52	-7.369223568981425e-57
170.0ms	-105805.57917816886	-26.120363579685783
13.0ms	-4.182408694640584e+75	-1.4730783449209937e+72

Results

237.0ms

864×

body

256

valid

Compiler

Compiled 826 to 660 computations (20.1% saved)

regimes59.0ms (0.7%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	z
18.0ms	x
13.0ms	y

Results

Error	Segments	Branch
16.0b	5	`x`
19.2b	3	`y`
13.1b	7	`z`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch89.0ms (1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
17.0ms	1.1996339278210085e+40	1.505933539303172e+62
13.0ms	351940465359154240.0	6.374039875882139e+20
17.0ms	4.1068838593116124e-63	1.125071024180656e-51
15.0ms	-6.038702590093939e-52	-7.369223568981425e-57
14.0ms	-2.7105162533382434e-17	-2.948952956702618e-25
13.0ms	-4.182408694640584e+75	-1.4730783449209937e+72

Results

79.0ms

880×

body

256

valid

Compiler

Compiled 841 to 672 computations (20.1% saved)

regimes196.0ms (2.3%)

Accuracy

Total -48.7b remaining (-371.6%)

Threshold costs -48.7b (-371.6%)

Counts

2 → 7

Calls

Call 1

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

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

Calls

3 calls:

163.0ms	z
18.0ms	y
14.0ms	x

Results

Error	Segments	Branch
16.0b	5	`x`
19.2b	3	`y`
13.1b	7	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch157.0ms (1.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
19.0ms	1.1996339278210085e+40	1.505933539303172e+62
13.0ms	351940465359154240.0	6.374039875882139e+20
16.0ms	4.1068838593116124e-63	1.125071024180656e-51
14.0ms	-6.038702590093939e-52	-7.369223568981425e-57
16.0ms	-2.7105162533382434e-17	-2.948952956702618e-25
78.0ms	-4.182408694640584e+75	-1.4730783449209937e+72

Results

145.0ms

880×

body

256

valid

Compiler

Compiled 841 to 672 computations (20.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	401

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(if (<=.f64 z -1500000000000000013782431038608743471020045931150613548915489657835225088) (neg.f64 z) (if (<=.f64 z -105000) (.f64 y (.f64 x 3)) (if (<=.f64 z -3828312426735391/107839786668602559178668060348078522694548577690162289924414440996864) (neg.f64 z) (if (<=.f64 z 6874786400123413/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 x (.f64 y 3)) (if (<=.f64 z 620000000000000000000) (neg.f64 z) (if (<=.f64 z 12500000000000000077501080630097289936896) (.f64 y (.f64 x 3)) (neg.f64 z)))))))
(if (<=.f64 z -1500000000000000013782431038608743471020045931150613548915489657835225088) (neg.f64 z) (if (<=.f64 z -2326148992623603/83076749736557242056487941267521536) (.f64 3 (.f64 y x)) (if (<=.f64 z -1897980245367405/3450873173395281893717377931138512726225554486085193277581262111899648) (neg.f64 z) (if (<=.f64 z 8972270250827733/13803492693581127574869511724554050904902217944340773110325048447598592) (.f64 x (.f64 y 3)) (if (<=.f64 z 15000000000000000000) (neg.f64 z) (if (<=.f64 z 550000000000000032424267218475380950171648) (.f64 3 (.f64 y x)) (neg.f64 z)))))))
(if (<=.f64 z -1500000000000000013782431038608743471020045931150613548915489657835225088) (neg.f64 z) (if (<=.f64 z -2803840303608807/5192296858534827628530496329220096) (.f64 3 (.f64 y x)) (if (<=.f64 z -3588908100331093/3450873173395281893717377931138512726225554486085193277581262111899648) (neg.f64 z) (if (<=.f64 z 8972270250827733/13803492693581127574869511724554050904902217944340773110325048447598592) (.f64 3 (.f64 y x)) (if (<=.f64 z 560000000000000000000) (neg.f64 z) (if (<=.f64 z 310000000000000015461995979310259547144192) (.f64 3 (.f64 y x)) (neg.f64 z)))))))
(neg.f64 z)

Outputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(if (<=.f64 z -1500000000000000013782431038608743471020045931150613548915489657835225088) (neg.f64 z) (if (<=.f64 z -105000) (.f64 y (.f64 x 3)) (if (<=.f64 z -3828312426735391/107839786668602559178668060348078522694548577690162289924414440996864) (neg.f64 z) (if (<=.f64 z 6874786400123413/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 x (.f64 y 3)) (if (<=.f64 z 620000000000000000000) (neg.f64 z) (if (<=.f64 z 12500000000000000077501080630097289936896) (.f64 y (.f64 x 3)) (neg.f64 z)))))))
(if (<=.f64 z -1500000000000000013782431038608743471020045931150613548915489657835225088) (neg.f64 z) (if (<=.f64 z -2326148992623603/83076749736557242056487941267521536) (.f64 3 (.f64 y x)) (if (<=.f64 z -1897980245367405/3450873173395281893717377931138512726225554486085193277581262111899648) (neg.f64 z) (if (<=.f64 z 8972270250827733/13803492693581127574869511724554050904902217944340773110325048447598592) (.f64 x (.f64 y 3)) (if (<=.f64 z 15000000000000000000) (neg.f64 z) (if (<=.f64 z 550000000000000032424267218475380950171648) (.f64 3 (.f64 y x)) (neg.f64 z)))))))
(if (<=.f64 z -1500000000000000013782431038608743471020045931150613548915489657835225088) (neg.f64 z) (if (<=.f64 z -2803840303608807/5192296858534827628530496329220096) (.f64 3 (.f64 y x)) (if (<=.f64 z -3588908100331093/3450873173395281893717377931138512726225554486085193277581262111899648) (neg.f64 z) (if (<=.f64 z 8972270250827733/13803492693581127574869511724554050904902217944340773110325048447598592) (.f64 3 (.f64 y x)) (if (<=.f64 z 560000000000000000000) (neg.f64 z) (if (<=.f64 z 310000000000000015461995979310259547144192) (.f64 3 (.f64 y x)) (neg.f64 z)))))))
(neg.f64 z)

Compiler

Compiled 185 to 115 computations (37.8% saved)

soundness0.0ms (0%)

end68.0ms (0.8%)

Remove: (sort x y)
Compiler: Compiled 187 to 106 computations (43.3% saved)

Details

analyze433.0ms (5.1%)

sample1.6s (19.2%)

preprocess11.0ms (0.1%)

simplify10.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite112.0ms (1.3%)

simplify209.0ms (2.4%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite107.0ms (1.2%)

simplify235.0ms (2.8%)

eval964.0ms (11.3%)

prune16.0ms (0.2%)

localize3.0ms (0%)

localize11.0ms (0.1%)

series3.0ms (0%)

rewrite340.0ms (4%)

simplify571.0ms (6.7%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite112.0ms (1.3%)

simplify384.0ms (4.5%)

eval183.0ms (2.1%)

prune31.0ms (0.4%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite313.0ms (3.7%)

simplify488.0ms (5.7%)

eval8.0ms (0.1%)

prune7.0ms (0.1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite306.0ms (3.6%)

simplify505.0ms (5.9%)

eval5.0ms (0.1%)

prune272.0ms (3.2%)

regimes105.0ms (1.2%)

regimes22.0ms (0.3%)

regimes19.0ms (0.2%)

regimes239.0ms (2.8%)

bsearch247.0ms (2.9%)

regimes59.0ms (0.7%)

bsearch89.0ms (1%)

regimes196.0ms (2.3%)

bsearch157.0ms (1.8%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end68.0ms (0.8%)

Profiling