Details

analyze1.0s (9.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
37.6%	34.3%	56.9%	0.1%	8.6%	0%	0%	10
44.8%	40.6%	49.9%	0.1%	9.4%	0%	0%	11
53.4%	48%	41.9%	0.1%	9.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample4.6s (42.3%)

Results

3.5s	8254×	body	256	valid
925.0ms	1192×	body	256	infinite
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess12.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

12×	`rational.json-simplify-1`
6×	`rational.json-simplify-17`
6×	`rational.json-simplify-2`
2×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	25	76
2	29	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 x y) (+.f64 z 1))
(*.f64 (+.f64 y x) (+.f64 z 1))
(*.f64 (+.f64 z y) (+.f64 x 1))
(*.f64 (+.f64 x z) (+.f64 y 1))

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-1`
2×	`rational.json-simplify-17`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	12	19
2	14	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z 1))

Outputs
(*.f64 (+.f64 x y) (+.f64 z 1))

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 10 to 7 computations (30% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite212.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2710×	`rational.json-simplify-35`
1348×	`rational.json-simplify-1`
1182×	`rational.json-1`
1182×	`rational.json-2`
1182×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	69	19
2	151	19
3	286	19
4	542	19
5	1195	19
6	2582	19
7	4043	19
8	5310	19
9	6504	19
10	7015	19
11	7015	19
12	7015	19

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z 1))

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

Outputs

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

simplify224.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2370×	`rational.json-simplify-41`
2356×	`rational.json-simplify-2`
1746×	`rational.json-simplify-35`
1496×	`rational.json-simplify-53`
860×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	963
1	150	963
2	285	963
3	596	963
4	2053	963
5	3623	963
6	4412	963
7	4630	963
8	4784	963
9	4932	963
10	6815	963
11	7681	963

Stop Event

1×	node limit

Counts

51 → 29

Calls

Call 1

Inputs
(*.f64 y (+.f64 1 z))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) x)
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) x)
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) x)
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 y (+.f64 1 z))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 y (+.f64 1 z))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(*.f64 (+.f64 y x) z)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(*.f64 (+.f64 y x) z)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 0)
(+.f64 0 (*.f64 (+.f64 x y) (+.f64 z 1)))
(+.f64 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 1/2)) (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 1/2)))
(-.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 0)
(/.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 1)
(/.f64 (*.f64 (+.f64 x y) (+.f64 z (+.f64 z 2))) 2)
(/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 z 1) 4)) 4)
(/.f64 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 z 1) (*.f64 (+.f64 x y) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 (+.f64 x y) 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 (+.f64 x y) 8))))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8)))))))) 512)
(pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 1)

Outputs
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 1 z))
(*.f64 x (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 1 z))
(*.f64 x (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 1 z))
(*.f64 x (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(*.f64 (+.f64 y x) z)
(*.f64 z (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x))
(+.f64 y (+.f64 x (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 0)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 0 (*.f64 (+.f64 x y) (+.f64 z 1)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(+.f64 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 1/2)) (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 1/2)))
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(-.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 0)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 1)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (*.f64 (+.f64 x y) (+.f64 z (+.f64 z 2))) 2)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 z 1) 4)) 4)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8)) 8)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (.f64 2 (.f64 (+.f64 z 1) (*.f64 (+.f64 x y) 8))) 16)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8)))) 32)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 (+.f64 x y) 8))))) 64)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8)))))) 128)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 (+.f64 x y) 8))))))) 256)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 (+.f64 x y) 8)))))))) 512)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))
(pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 1)
(*.f64 (+.f64 y x) (+.f64 1 z))
(*.f64 (+.f64 y x) (-.f64 z -1))

eval7.0ms (0.1%)

Compiler: Compiled 316 to 194 computations (38.6% saved)

prune8.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	23	6	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	7	30

Error

Counts

30 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
	0.0b	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
▶	27.1b	(+.f64 y x)
▶	37.2b	(*.f64 (+.f64 y x) z)
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
▶	28.7b	(*.f64 (+.f64 1 z) x)
▶	34.3b	(*.f64 y (-.f64 z -1))

Compiler

Compiled 122 to 81 computations (33.6% saved)

localize181.0ms (1.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series5.0ms (0%)

Counts

3 → 42

Calls

21 calls:

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

rewrite372.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2556×	`rational.json-simplify-2`
1350×	`rational.json-simplify-1`
1316×	`rational.json-simplify-35`
1296×	`rational.json-simplify-53`
1228×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	80	45
2	179	45
3	331	45
4	634	45
5	1470	45
6	3012	45
7	4526	45
8	5831	45
9	6533	45
10	6533	45
11	7536	45

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
(*.f64 (+.f64 1 z) x)
(*.f64 y (+.f64 1 z))

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

Outputs

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

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

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

simplify432.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2632×	`rational.json-simplify-2`
2016×	`rational.json-simplify-35`
1264×	`rational.json-simplify-53`
964×	`rational.json-simplify-48`
900×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1869
1	429	1869
2	963	1869
3	2288	1869
4	4426	1869
5	5297	1869
6	5664	1869
7	5987	1869
8	6298	1869
9	6401	1869
10	7223	1869

Stop Event

1×	node limit

Counts

117 → 98

Calls

Call 1

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

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

localize10.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

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 z -1))
0.0ms	z	@	inf	(*.f64 y (-.f64 z -1))
0.0ms	z	@	-inf	(*.f64 y (-.f64 z -1))
0.0ms	y	@	-inf	(*.f64 y (-.f64 z -1))
0.0ms	y	@	inf	(*.f64 y (-.f64 z -1))

rewrite613.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`rational.json-simplify-53`
1422×	`rational.json-simplify-35`
1340×	`exponential.json-3`
1340×	`rational.json-1`
1340×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	50	13
2	116	13
3	218	13
4	402	13
5	860	13
6	2176	13
7	3861	13
8	5025	13
9	6482	13
10	7269	13
11	7269	13
12	7740	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify496.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

3476×	`rational.json-simplify-35`
2082×	`rational.json-simplify-2`
1408×	`rational.json-simplify-53`
1380×	`rational.json-simplify-49`
1112×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	470
1	134	470
2	277	470
3	671	470
4	2554	470
5	4093	470
6	4882	470
7	5243	470
8	5524	470
9	5736	470
10	6514	470
11	6804	470
12	6804	470
13	6804	470
14	7006	470
15	7435	470
16	7769	470
17	7985	470

Stop Event

1×	node limit

Counts

38 → 19

Calls

Call 1

Inputs
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
y
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y (+.f64 z 1)) 0)
(+.f64 0 (*.f64 y (+.f64 z 1)))
(+.f64 (.f64 (+.f64 z 1) (.f64 y 1/2)) (.f64 (+.f64 z 1) (.f64 y 1/2)))
(-.f64 (*.f64 y (+.f64 z 1)) 0)
(/.f64 (*.f64 y (+.f64 z 1)) 1)
(/.f64 (*.f64 (+.f64 z 1) (+.f64 y y)) 2)
(/.f64 (.f64 (+.f64 z 1) (.f64 y 4)) 4)
(/.f64 (.f64 (+.f64 z 1) (.f64 y 8)) 8)
(/.f64 (.f64 4 (.f64 16 (*.f64 y (+.f64 z 1)))) 64)
(/.f64 (.f64 2 (.f64 4 (.f64 16 (.f64 y (+.f64 z 1))))) 128)
(/.f64 (.f64 (+.f64 z 1) (.f64 8 (*.f64 y 4))) 32)
(/.f64 (.f64 16 (.f64 y (+.f64 z 1))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 16 (*.f64 y (+.f64 z 1)))))) 256)
(pow.f64 (*.f64 y (+.f64 z 1)) 1)

Outputs
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
y
(+.f64 (*.f64 y z) y)
(+.f64 y (*.f64 y z))
(+.f64 (*.f64 y z) y)
(+.f64 y (*.f64 y z))
(+.f64 (*.f64 y z) y)
(+.f64 y (*.f64 y z))
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(+.f64 y (*.f64 y z))
(+.f64 (*.f64 y z) y)
(+.f64 y (*.f64 y z))
(+.f64 (*.f64 y z) y)
(+.f64 y (*.f64 y z))
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(+.f64 y (*.f64 y z))
(+.f64 (*.f64 y z) y)
(+.f64 y (*.f64 y z))
(+.f64 (*.f64 y z) y)
(+.f64 y (*.f64 y z))
(+.f64 (*.f64 y (+.f64 z 1)) 0)
(*.f64 y (+.f64 1 z))
(+.f64 0 (*.f64 y (+.f64 z 1)))
(*.f64 y (+.f64 1 z))
(+.f64 (.f64 (+.f64 z 1) (.f64 y 1/2)) (.f64 (+.f64 z 1) (.f64 y 1/2)))
(*.f64 y (+.f64 1 z))
(-.f64 (*.f64 y (+.f64 z 1)) 0)
(*.f64 y (+.f64 1 z))
(/.f64 (*.f64 y (+.f64 z 1)) 1)
(*.f64 y (+.f64 1 z))
(/.f64 (*.f64 (+.f64 z 1) (+.f64 y y)) 2)
(*.f64 y (+.f64 1 z))
(/.f64 (.f64 (+.f64 z 1) (.f64 y 4)) 4)
(*.f64 y (+.f64 1 z))
(/.f64 (.f64 (+.f64 z 1) (.f64 y 8)) 8)
(*.f64 y (+.f64 1 z))
(/.f64 (.f64 4 (.f64 16 (*.f64 y (+.f64 z 1)))) 64)
(*.f64 y (+.f64 1 z))
(/.f64 (.f64 2 (.f64 4 (.f64 16 (.f64 y (+.f64 z 1))))) 128)
(*.f64 y (+.f64 1 z))
(/.f64 (.f64 (+.f64 z 1) (.f64 8 (*.f64 y 4))) 32)
(*.f64 y (+.f64 1 z))
(/.f64 (.f64 16 (.f64 y (+.f64 z 1))) 16)
(*.f64 y (+.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 16 (*.f64 y (+.f64 z 1)))))) 256)
(*.f64 y (+.f64 1 z))
(pow.f64 (*.f64 y (+.f64 z 1)) 1)
(*.f64 y (+.f64 1 z))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 1 z) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite172.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2514×	`rational.json-simplify-2`
1526×	`rational.json-simplify-35`
1252×	`rational.json-simplify-1`
1232×	`exponential.json-3`
1232×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	46	13
2	102	13
3	214	13
4	397	13
5	898	13
6	2315	13
7	4176	13
8	5081	13
9	6155	13
10	6970	13
11	6970	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify546.0ms (5%)

Algorithm

1×	egg-herbie

Rules

3060×	`rational.json-simplify-2`
2726×	`rational.json-simplify-35`
2212×	`rational.json-simplify-53`
1048×	`rational.json-simplify-1`
1044×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	650
1	127	458
2	238	458
3	543	458
4	1930	458
5	3809	458
6	4387	458
7	4530	458
8	4637	458
9	4742	458
10	4845	458
11	5807	458
12	6413	458
13	6687	458
14	6687	458
15	6687	458
16	6790	458
17	6893	458
18	7465	458
19	7722	458

Stop Event

1×	node limit

Counts

38 → 20

Calls

Call 1

Inputs
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (*.f64 (+.f64 y x) z) 0)
(+.f64 0 (*.f64 (+.f64 y x) z))
(+.f64 (.f64 (+.f64 y x) (.f64 z 1/2)) (.f64 (+.f64 y x) (.f64 z 1/2)))
(-.f64 (*.f64 (+.f64 y x) z) 0)
(/.f64 (*.f64 (+.f64 y x) z) 1)
(/.f64 (*.f64 (+.f64 y x) (+.f64 z z)) 2)
(/.f64 (.f64 (+.f64 y x) (.f64 z 4)) 4)
(/.f64 (.f64 (+.f64 y x) (.f64 z 8)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 y x) (*.f64 z 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 y x) (.f64 z 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y x) (*.f64 z 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y x) (.f64 z 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y x) (*.f64 z 8))))))) 256)
(pow.f64 (*.f64 (+.f64 y x) z) 1)

Outputs
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 (+.f64 y x) z) 0)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 0 (*.f64 (+.f64 y x) z))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 (+.f64 y x) (.f64 z 1/2)) (.f64 (+.f64 y x) (.f64 z 1/2)))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(-.f64 (*.f64 (+.f64 y x) z) 0)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (*.f64 (+.f64 y x) z) 1)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (*.f64 (+.f64 y x) (+.f64 z z)) 2)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 (+.f64 y x) (.f64 z 4)) 4)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 (+.f64 y x) (.f64 z 8)) 8)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 2 (.f64 (+.f64 y x) (*.f64 z 8))) 16)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 y x) (.f64 z 8)))) 32)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y x) (*.f64 z 8))))) 64)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y x) (.f64 z 8)))))) 128)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y x) (*.f64 z 8))))))) 256)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(pow.f64 (*.f64 (+.f64 y x) z) 1)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))

eval34.0ms (0.3%)

Compiler: Compiled 1736 to 1113 computations (35.9% saved)

prune27.0ms (0.2%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	1	0	1
Picked	0	1	1
Done	0	5	5
Total	150	12	162

Error

Counts

162 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
▶	28.7b	(+.f64 (*.f64 z x) x)
▶	34.3b	(+.f64 (*.f64 y z) y)
✓	27.1b	(+.f64 y x)
✓	37.2b	(*.f64 (+.f64 y x) z)
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	28.7b	(*.f64 (+.f64 1 z) x)
▶	51.8b	(*.f64 z y)
▶	48.0b	(*.f64 z x)
✓	34.3b	(*.f64 y (-.f64 z -1))
	45.8b	y
	43.8b	x

Compiler

Compiled 90 to 62 computations (31.1% saved)

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite195.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`rational.json-simplify-1`
1654×	`rational.json-simplify-35`
1514×	`exponential.json-3`
1514×	`rational.json-1`
1514×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	94	13
3	209	13
4	397	13
5	907	13
6	2467	13
7	4683	13
8	5582	13
9	6931	13
10	7998	13
11	7998	13

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify142.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1942×	`rational.json-simplify-35`
1292×	`rational.json-simplify-51`
1108×	`rational.json-simplify-41`
1044×	`rational.json-simplify-2`
838×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	767
1	247	767
2	481	767
3	881	767
4	1619	767
5	4491	767
6	5771	767
7	6420	767
8	7050	767
9	7541	767

Stop Event

1×	node limit

Counts

59 → 50

Calls

Call 1

Inputs
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(*.f64 y (+.f64 1 z))
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 z) 1)))
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 z) 1)))
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 z) 1)))
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 z) 1)))
y
(*.f64 y z)
(*.f64 y z)
(-.f64 (+.f64 y (*.f64 y z)) 0)
(*.f64 y (+.f64 z 1))
(.f64 (+.f64 y (.f64 y z)) 1)
(.f64 1 (+.f64 y (.f64 y z)))
(.f64 2 (.f64 y (*.f64 (+.f64 z 1) 1/2)))
(.f64 (.f64 (+.f64 y y) (+.f64 z 1)) 1/2)
(.f64 (+.f64 y y) (.f64 (+.f64 z 1) 1/2))
(.f64 (+.f64 y y) (.f64 (+.f64 z (+.f64 z 2)) 1/4))
(.f64 (+.f64 y y) (+.f64 1/2 (.f64 z 1/2)))
(*.f64 (+.f64 z 1) y)
(.f64 4 (.f64 y (/.f64 (+.f64 z 1) 4)))
(.f64 4 (.f64 (/.f64 y 8) (+.f64 z (+.f64 z 2))))
(.f64 (.f64 y (*.f64 (+.f64 z 1) 4)) 1/4)
(.f64 (.f64 y 4) (*.f64 (+.f64 z 1) 1/4))
(.f64 (.f64 y 4) (/.f64 (+.f64 z 1) 4))
(.f64 (.f64 y 4) (*.f64 1/8 (+.f64 z (+.f64 z 2))))
(.f64 8 (.f64 (/.f64 y 8) (+.f64 z 1)))
(.f64 8 (.f64 (.f64 1/2 (.f64 y 1/4)) (+.f64 z 1)))
(.f64 (.f64 (+.f64 z 1) (*.f64 y 8)) 1/8)
(.f64 (.f64 y 8) (*.f64 1/8 (+.f64 z 1)))
(.f64 (+.f64 z (+.f64 z 2)) (.f64 y 1/2))
(.f64 1/2 (.f64 (+.f64 y y) (+.f64 z 1)))
(.f64 (.f64 y (*.f64 (+.f64 z 1) 1/2)) 2)
(.f64 (.f64 y 1/2) (+.f64 z (+.f64 z 2)))
(.f64 (.f64 2 (.f64 y 8)) (.f64 1/16 (+.f64 z 1)))
(.f64 (.f64 (+.f64 z 1) 4) (*.f64 y 1/4))
(.f64 1/4 (.f64 y (*.f64 (+.f64 z 1) 4)))
(.f64 (.f64 (+.f64 z 1) 1/2) (+.f64 y y))
(.f64 (.f64 y (/.f64 (+.f64 z 1) 4)) 4)
(.f64 (.f64 y 1/4) (*.f64 (+.f64 z 1) 4))
(.f64 1/8 (.f64 (+.f64 z 1) (*.f64 y 8)))
(.f64 (.f64 (+.f64 z 1) 1/4) (*.f64 y 4))
(.f64 (/.f64 (+.f64 z 1) 4) (.f64 y 4))
(.f64 (+.f64 1/2 (.f64 z 1/2)) (+.f64 y y))
(/.f64 (+.f64 y (*.f64 y z)) 1)
(/.f64 (*.f64 (+.f64 y y) (+.f64 z 1)) 2)
(/.f64 (.f64 y (.f64 (+.f64 z 1) 4)) 4)
(/.f64 (.f64 (+.f64 z 1) (.f64 y 8)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 z 1) (*.f64 y 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 y 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 y 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 y 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 y 8))))))) 256)
(pow.f64 (+.f64 y (*.f64 y z)) 1)

Outputs
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 z) 1)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 z) 1)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 z) 1)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 z) 1)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
y
(*.f64 y z)
(*.f64 y z)
(-.f64 (+.f64 y (*.f64 y z)) 0)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(*.f64 y (+.f64 z 1))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (+.f64 y (.f64 y z)) 1)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 1 (+.f64 y (.f64 y z)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 2 (.f64 y (*.f64 (+.f64 z 1) 1/2)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 (+.f64 y y) (+.f64 z 1)) 1/2)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (+.f64 y y) (.f64 (+.f64 z 1) 1/2))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (+.f64 y y) (.f64 (+.f64 z (+.f64 z 2)) 1/4))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (+.f64 y y) (+.f64 1/2 (.f64 z 1/2)))
(*.f64 (+.f64 z 1) y)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 4 (.f64 y (/.f64 (+.f64 z 1) 4)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 4 (.f64 (/.f64 y 8) (+.f64 z (+.f64 z 2))))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 y (*.f64 (+.f64 z 1) 4)) 1/4)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 y 4) (*.f64 (+.f64 z 1) 1/4))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 y 4) (/.f64 (+.f64 z 1) 4))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 y 4) (*.f64 1/8 (+.f64 z (+.f64 z 2))))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 8 (.f64 (/.f64 y 8) (+.f64 z 1)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 8 (.f64 (.f64 1/2 (.f64 y 1/4)) (+.f64 z 1)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 (+.f64 z 1) (*.f64 y 8)) 1/8)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 y 8) (*.f64 1/8 (+.f64 z 1)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (+.f64 z (+.f64 z 2)) (.f64 y 1/2))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 1/2 (.f64 (+.f64 y y) (+.f64 z 1)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 y (*.f64 (+.f64 z 1) 1/2)) 2)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 y 1/2) (+.f64 z (+.f64 z 2)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 2 (.f64 y 8)) (.f64 1/16 (+.f64 z 1)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 (+.f64 z 1) 4) (*.f64 y 1/4))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 1/4 (.f64 y (*.f64 (+.f64 z 1) 4)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 (+.f64 z 1) 1/2) (+.f64 y y))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 y (/.f64 (+.f64 z 1) 4)) 4)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 y 1/4) (*.f64 (+.f64 z 1) 4))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 1/8 (.f64 (+.f64 z 1) (*.f64 y 8)))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (.f64 (+.f64 z 1) 1/4) (*.f64 y 4))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (/.f64 (+.f64 z 1) 4) (.f64 y 4))
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(.f64 (+.f64 1/2 (.f64 z 1/2)) (+.f64 y y))
(.f64 (+.f64 y y) (+.f64 1/2 (.f64 z 1/2)))
(/.f64 (+.f64 y (*.f64 y z)) 1)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(/.f64 (*.f64 (+.f64 y y) (+.f64 z 1)) 2)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(/.f64 (.f64 y (.f64 (+.f64 z 1) 4)) 4)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(/.f64 (.f64 (+.f64 z 1) (.f64 y 8)) 8)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(/.f64 (.f64 2 (.f64 (+.f64 z 1) (*.f64 y 8))) 16)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 y 8)))) 32)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 y 8))))) 64)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 y 8)))))) 128)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 y 8))))))) 256)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))
(pow.f64 (+.f64 y (*.f64 y z)) 1)
(*.f64 y (+.f64 1 z))
(*.f64 y (-.f64 z -1))
(+.f64 y (*.f64 y z))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite192.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`rational.json-simplify-1`
1654×	`rational.json-simplify-35`
1514×	`exponential.json-3`
1514×	`rational.json-1`
1514×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	94	13
3	209	13
4	397	13
5	907	13
6	2467	13
7	4683	13
8	5582	13
9	6931	13
10	7998	13
11	7998	13

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1880×	`rational.json-simplify-35`
1270×	`rational.json-simplify-51`
1184×	`rational.json-simplify-41`
1036×	`rational.json-simplify-2`
770×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	767
1	250	767
2	485	767
3	885	767
4	1621	767
5	4535	767
6	5752	767
7	6384	767
8	6964	767
9	7408	767

Stop Event

1×	node limit

Counts

59 → 49

Calls

Call 1

Inputs
x
(*.f64 z x)
(*.f64 z x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(-.f64 (+.f64 x (*.f64 z x)) 0)
(*.f64 x (+.f64 z 1))
(.f64 (+.f64 x (.f64 z x)) 1)
(.f64 1 (+.f64 x (.f64 z x)))
(.f64 2 (.f64 x (*.f64 (+.f64 z 1) 1/2)))
(.f64 (.f64 x (+.f64 2 (+.f64 z z))) 1/2)
(.f64 (+.f64 x x) (.f64 (+.f64 z 1) 1/2))
(.f64 (+.f64 x x) (.f64 (+.f64 2 (+.f64 z z)) 1/4))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 z 1/2)))
(*.f64 (+.f64 z 1) x)
(.f64 4 (.f64 x (/.f64 (+.f64 z 1) 4)))
(.f64 4 (.f64 (/.f64 x 8) (+.f64 2 (+.f64 z z))))
(.f64 (.f64 x (*.f64 (+.f64 z 1) 4)) 1/4)
(.f64 (.f64 x 4) (*.f64 (+.f64 z 1) 1/4))
(.f64 (.f64 x 4) (/.f64 (+.f64 z 1) 4))
(.f64 (.f64 x 4) (*.f64 1/8 (+.f64 2 (+.f64 z z))))
(.f64 8 (.f64 (/.f64 x 8) (+.f64 z 1)))
(.f64 8 (.f64 (.f64 1/2 (.f64 x 1/4)) (+.f64 z 1)))
(.f64 (.f64 (+.f64 z 1) (*.f64 x 8)) 1/8)
(.f64 (+.f64 2 (+.f64 z z)) (.f64 x 1/2))
(.f64 (.f64 x 8) (*.f64 1/8 (+.f64 z 1)))
(.f64 1/2 (.f64 x (+.f64 2 (+.f64 z z))))
(.f64 (.f64 x (*.f64 (+.f64 z 1) 1/2)) 2)
(.f64 (.f64 x 1/2) (+.f64 2 (+.f64 z z)))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/16 (+.f64 z 1)))
(.f64 (.f64 (+.f64 z 1) 4) (*.f64 x 1/4))
(.f64 1/4 (.f64 x (*.f64 (+.f64 z 1) 4)))
(.f64 (.f64 (+.f64 z 1) 1/2) (+.f64 x x))
(.f64 (.f64 x (/.f64 (+.f64 z 1) 4)) 4)
(.f64 (.f64 x 1/4) (*.f64 (+.f64 z 1) 4))
(.f64 1/8 (.f64 (+.f64 z 1) (*.f64 x 8)))
(.f64 (.f64 (+.f64 z 1) 1/4) (*.f64 x 4))
(.f64 (/.f64 (+.f64 z 1) 4) (.f64 x 4))
(.f64 (+.f64 1/2 (.f64 z 1/2)) (+.f64 x x))
(/.f64 (+.f64 x (*.f64 z x)) 1)
(/.f64 (*.f64 x (+.f64 2 (+.f64 z z))) 2)
(/.f64 (.f64 x (.f64 (+.f64 z 1) 4)) 4)
(/.f64 (.f64 (+.f64 z 1) (.f64 x 8)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 z 1) (*.f64 x 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 x 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 x 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 x 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 x 8))))))) 256)
(pow.f64 (+.f64 x (*.f64 z x)) 1)

Outputs
x
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(*.f64 (+.f64 1 z) x)
(*.f64 x (+.f64 z 1))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(*.f64 x (+.f64 z 1))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(*.f64 x (+.f64 z 1))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(*.f64 x (+.f64 z 1))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(*.f64 x (+.f64 z 1))
(-.f64 (+.f64 x (*.f64 z x)) 0)
(*.f64 x (+.f64 z 1))
(*.f64 x (+.f64 z 1))
(.f64 (+.f64 x (.f64 z x)) 1)
(*.f64 x (+.f64 z 1))
(.f64 1 (+.f64 x (.f64 z x)))
(*.f64 x (+.f64 z 1))
(.f64 2 (.f64 x (*.f64 (+.f64 z 1) 1/2)))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x (+.f64 2 (+.f64 z z))) 1/2)
(*.f64 x (+.f64 z 1))
(.f64 (+.f64 x x) (.f64 (+.f64 z 1) 1/2))
(*.f64 x (+.f64 z 1))
(.f64 (+.f64 x x) (.f64 (+.f64 2 (+.f64 z z)) 1/4))
(*.f64 x (+.f64 z 1))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 z 1/2)))
(*.f64 (+.f64 z 1) x)
(*.f64 x (+.f64 z 1))
(.f64 4 (.f64 x (/.f64 (+.f64 z 1) 4)))
(*.f64 x (+.f64 z 1))
(.f64 4 (.f64 (/.f64 x 8) (+.f64 2 (+.f64 z z))))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x (*.f64 (+.f64 z 1) 4)) 1/4)
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x 4) (*.f64 (+.f64 z 1) 1/4))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x 4) (/.f64 (+.f64 z 1) 4))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x 4) (*.f64 1/8 (+.f64 2 (+.f64 z z))))
(*.f64 x (+.f64 z 1))
(.f64 8 (.f64 (/.f64 x 8) (+.f64 z 1)))
(*.f64 x (+.f64 z 1))
(.f64 8 (.f64 (.f64 1/2 (.f64 x 1/4)) (+.f64 z 1)))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 (+.f64 z 1) (*.f64 x 8)) 1/8)
(*.f64 x (+.f64 z 1))
(.f64 (+.f64 2 (+.f64 z z)) (.f64 x 1/2))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x 8) (*.f64 1/8 (+.f64 z 1)))
(*.f64 x (+.f64 z 1))
(.f64 1/2 (.f64 x (+.f64 2 (+.f64 z z))))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x (*.f64 (+.f64 z 1) 1/2)) 2)
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x 1/2) (+.f64 2 (+.f64 z z)))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/16 (+.f64 z 1)))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 (+.f64 z 1) 4) (*.f64 x 1/4))
(*.f64 x (+.f64 z 1))
(.f64 1/4 (.f64 x (*.f64 (+.f64 z 1) 4)))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 (+.f64 z 1) 1/2) (+.f64 x x))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x (/.f64 (+.f64 z 1) 4)) 4)
(*.f64 x (+.f64 z 1))
(.f64 (.f64 x 1/4) (*.f64 (+.f64 z 1) 4))
(*.f64 x (+.f64 z 1))
(.f64 1/8 (.f64 (+.f64 z 1) (*.f64 x 8)))
(*.f64 x (+.f64 z 1))
(.f64 (.f64 (+.f64 z 1) 1/4) (*.f64 x 4))
(*.f64 x (+.f64 z 1))
(.f64 (/.f64 (+.f64 z 1) 4) (.f64 x 4))
(*.f64 x (+.f64 z 1))
(.f64 (+.f64 1/2 (.f64 z 1/2)) (+.f64 x x))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 z 1/2)))
(/.f64 (+.f64 x (*.f64 z x)) 1)
(*.f64 x (+.f64 z 1))
(/.f64 (*.f64 x (+.f64 2 (+.f64 z z))) 2)
(*.f64 x (+.f64 z 1))
(/.f64 (.f64 x (.f64 (+.f64 z 1) 4)) 4)
(*.f64 x (+.f64 z 1))
(/.f64 (.f64 (+.f64 z 1) (.f64 x 8)) 8)
(*.f64 x (+.f64 z 1))
(/.f64 (.f64 2 (.f64 (+.f64 z 1) (*.f64 x 8))) 16)
(*.f64 x (+.f64 z 1))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 x 8)))) 32)
(*.f64 x (+.f64 z 1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 x 8))))) 64)
(*.f64 x (+.f64 z 1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (.f64 x 8)))))) 128)
(*.f64 x (+.f64 z 1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 z 1) (*.f64 x 8))))))) 256)
(*.f64 x (+.f64 z 1))
(pow.f64 (+.f64 x (*.f64 z x)) 1)
(*.f64 x (+.f64 z 1))

eval20.0ms (0.2%)

Compiler: Compiled 888 to 617 computations (30.5% saved)

prune18.0ms (0.2%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	9	9
Total	99	12	111

Error

Counts

111 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
✓	28.7b	(+.f64 (*.f64 z x) x)
✓	34.3b	(+.f64 (*.f64 y z) y)
✓	27.1b	(+.f64 y x)
✓	37.2b	(*.f64 (+.f64 y x) z)
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	28.7b	(*.f64 (+.f64 1 z) x)
✓	51.8b	(*.f64 z y)
✓	48.0b	(*.f64 z x)
✓	34.3b	(*.f64 y (-.f64 z -1))
	45.8b	y
	43.8b	x

Compiler

Compiled 90 to 62 computations (31.1% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune6.0ms (0.1%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	10	10
Total	12	12

Error

Counts

12 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))
✓	28.7b	(+.f64 (*.f64 z x) x)
✓	34.3b	(+.f64 (*.f64 y z) y)
✓	27.1b	(+.f64 y x)
✓	37.2b	(*.f64 (+.f64 y x) z)
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	28.7b	(*.f64 (+.f64 1 z) x)
✓	51.8b	(*.f64 z y)
✓	48.0b	(*.f64 z x)
✓	34.3b	(*.f64 y (-.f64 z -1))
	45.8b	y
	43.8b	x

Compiler

Compiled 90 to 62 computations (31.1% saved)

regimes48.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) (+.f64 z 1))

Calls

6 calls:

9.0ms	(+.f64 x y)
9.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))
8.0ms	y
8.0ms	x
7.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(*.f64 (+.f64 x y) (+.f64 z 1))`
0.0b	1	`(+.f64 x y)`
0.0b	1	`(+.f64 z 1)`

Compiler

Compiled 100 to 54 computations (46% saved)

regimes63.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(*.f64 (+.f64 y x) z)
(+.f64 y x)
(*.f64 (+.f64 y x) z)

Calls

3 calls:

29.0ms	x
19.0ms	z
13.0ms	y

Results

Error	Segments	Branch
9.0b	4	`x`
8.3b	2	`y`
2.7b	3	`z`

Compiler

Compiled 51 to 25 computations (51% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.0014461789365660352	2.4947745783960316
14.0ms	-1164053.0973444618	-0.027696227440069752

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 288 to 199 computations (30.9% saved)

regimes55.0ms (0.5%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
19.0ms	z
10.0ms	y

Results

Error	Segments	Branch
9.0b	4	`x`
8.3b	2	`y`
10.9b	4	`z`

Compiler

Compiled 36 to 21 computations (41.7% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	1.256325957238976e-103	7.052306496891393e-101

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes88.0ms (0.8%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	x
34.0ms	z
18.0ms	y

Results

Error	Segments	Branch
15.5b	8	`x`
19.1b	4	`y`
9.0b	7	`z`

Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch82.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
11.0ms	2.168635198761515e+81	1.3667549708564773e+82
16.0ms	7.713092569646517e+43	3.814224018889809e+50
12.0ms	2.2272897604827457e+28	1.7657867189402532e+30
13.0ms	0.0014461789365660352	2.4947745783960316
16.0ms	-2.4846737772075458e-8	-4.046747434285109e-20
13.0ms	-4.622859569499159e+52	-5.781831484472163e+50

Results

67.0ms	752×	body	256	valid
6.0ms	65×	body	256	infinite

Compiler

Compiled 738 to 546 computations (26% saved)

regimes84.0ms (0.8%)

Counts

5 → 4

Calls

Call 1

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

Outputs
(*.f64 z x)
(*.f64 z y)
(+.f64 y x)
(*.f64 z x)

Calls

3 calls:

35.0ms	x
31.0ms	y
17.0ms	z

Results

Error	Segments	Branch
22.0b	9	`x`
23.6b	7	`y`
11.9b	4	`z`

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch36.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
10.0ms	11010.027379766323	58765.71534910072
14.0ms	-1164053.0973444618	-0.027696227440069752
12.0ms	-4.622859569499159e+52	-5.781831484472163e+50

Results

31.0ms	352×	body	256	valid
1.0ms	14×	body	256	infinite

Compiler

Compiled 324 to 232 computations (28.4% saved)

regimes94.0ms (0.9%)

Counts

4 → 11

Calls

Call 1

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

Outputs
x
(*.f64 z x)
x
(*.f64 z x)
x
y
x
(*.f64 z x)
y
(*.f64 z y)
y

Calls

3 calls:

38.0ms	x
35.0ms	y
20.0ms	z

Results

Error	Segments	Branch
25.3b	11	`x`
26.2b	10	`y`
25.5b	6	`z`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch96.0ms (0.9%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
13.0ms	1.1290086701843165e-222	9.357049547128255e-220
11.0ms	-4.7351320482975944e-288	-2.4384877025549123e-290
10.0ms	-1.1929726507541374e-210	-2.1211729088999008e-211
9.0ms	-1.47282569901475e-165	-3.009089617415769e-166
8.0ms	-2.962118869147755e-145	-1.163666777221227e-145
10.0ms	-5.905848807675357e-96	-4.070934767237013e-97
3.0ms	-1.9324513646958625e-81	-1.7977847992957728e-81
8.0ms	-2.684504104382616e-16	-7.810619304146053e-17
14.0ms	-1.548386200234061e+107	-7.070882048451089e+102
10.0ms	-5.737005420779902e+146	-1.5663143923641307e+146

Results

83.0ms	928×	body	256	valid
3.0ms	33×	body	256	infinite

Compiler

Compiled 690 to 523 computations (24.2% saved)

regimes64.0ms (0.6%)

Counts

3 → 5

Calls

Call 1

Inputs
x
y
(*.f64 z x)

Outputs
(*.f64 z x)
y
x
y
(*.f64 z x)

Calls

3 calls:

28.0ms	x
19.0ms	y
16.0ms	z

Results

Error	Segments	Branch
27.1b	9	`x`
28.6b	6	`y`
26.9b	5	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch49.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
9.0ms	11010.027379766323	58765.71534910072
13.0ms	3.859355566888637e-79	1.0099872144131623e-75
13.0ms	-1.4257151194712332e-95	-5.672444406592651e-100
14.0ms	-1164053.0973444618	-0.027696227440069752

Results

44.0ms

496×

body

256

valid

Compiler

Compiled 356 to 275 computations (22.8% saved)

regimes31.0ms (0.3%)

Accuracy

Total -31.3b remaining (-101.2%)

Threshold costs -31.3b (-101.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

12.0ms	z
10.0ms	y
9.0ms	x

Results

Error	Segments	Branch
31.6b	2	`x`
30.9b	2	`y`
40.8b	3	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	4.693205600968412e-104	1.256325957238976e-103

Results

7.0ms

80×

body

256

valid

Compiler

Compiled 66 to 52 computations (21.2% saved)

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	465

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z 1))
(if (<=.f64 z -1) (.f64 (+.f64 y x) z) (if (<=.f64 z 1) (+.f64 y x) (.f64 (+.f64 y x) z)))
(if (<=.f64 y 378259259485387/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 (+.f64 1 z) x) (.f64 y (-.f64 z -1)))
(if (<=.f64 z -10200000000000000196699275635471779940670838163898368) (.f64 z x) (if (<=.f64 z -1851167661284901/75557863725914323419136) (.f64 y (-.f64 z -1)) (if (<=.f64 z 208967022709991/144115188075855872) (+.f64 y x) (if (<=.f64 z 85999999999999995095415783424) (.f64 y (-.f64 z -1)) (if (<=.f64 z 55999999999999995964996137355732516196386256977920) (.f64 z x) (if (<=.f64 z 3549999999999999836394194465026434101580866986197578224710098636240900106668212224) (.f64 z y) (.f64 z x)))))))
(if (<=.f64 z -3200000000000000244152634914940384105438879070289920) (.f64 z x) (if (<=.f64 z -1) (.f64 z y) (if (<=.f64 z 11200) (+.f64 y x) (*.f64 z x))))
(if (<=.f64 x -550000000000000041133268450231358399806205474754497700404331131948773409849217068635538437050805245050881144828025292077772388227650709633753939968) x (if (<=.f64 x -13000000000000000979764390021341046509141333096343509137862255220699548700342689462362304150470425229393920) (.f64 z x) (if (<=.f64 x -4381000474388761/40564819207303340847894502572032) x (if (<=.f64 x -7903152032907367/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 z x) (if (<=.f64 x -14091255496643/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) x (if (<=.f64 x -3711603880498137/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) y (if (<=.f64 x -4232505880258613/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) x (if (<=.f64 x -3494208047704385/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) (.f64 z x) (if (<=.f64 x -2413894590269223/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) y (if (<=.f64 x 8139666055761541/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (.f64 z y) y))))))))))
(if (<=.f64 z -1) (.f64 z x) (if (<=.f64 z -5417775852004241/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) y (if (<=.f64 z 8865180569007683/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) x (if (<=.f64 z 11200) y (.f64 z x)))))
(if (<=.f64 y 3873374817130363/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) x y)
x

Outputs
(*.f64 (+.f64 x y) (+.f64 z 1))
(if (<=.f64 z -1) (.f64 (+.f64 y x) z) (if (<=.f64 z 1) (+.f64 y x) (.f64 (+.f64 y x) z)))
(if (<=.f64 y 378259259485387/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 (+.f64 1 z) x) (.f64 y (-.f64 z -1)))
(if (<=.f64 z -10200000000000000196699275635471779940670838163898368) (.f64 z x) (if (<=.f64 z -1851167661284901/75557863725914323419136) (.f64 y (-.f64 z -1)) (if (<=.f64 z 208967022709991/144115188075855872) (+.f64 y x) (if (<=.f64 z 85999999999999995095415783424) (.f64 y (-.f64 z -1)) (if (<=.f64 z 55999999999999995964996137355732516196386256977920) (.f64 z x) (if (<=.f64 z 3549999999999999836394194465026434101580866986197578224710098636240900106668212224) (.f64 z y) (.f64 z x)))))))
(if (<=.f64 z -3200000000000000244152634914940384105438879070289920) (.f64 z x) (if (<=.f64 z -1) (.f64 z y) (if (<=.f64 z 11200) (+.f64 y x) (*.f64 z x))))
(if (<=.f64 x -550000000000000041133268450231358399806205474754497700404331131948773409849217068635538437050805245050881144828025292077772388227650709633753939968) x (if (<=.f64 x -13000000000000000979764390021341046509141333096343509137862255220699548700342689462362304150470425229393920) (.f64 z x) (if (<=.f64 x -4381000474388761/40564819207303340847894502572032) x (if (<=.f64 x -7903152032907367/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 z x) (if (<=.f64 x -14091255496643/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) x (if (<=.f64 x -3711603880498137/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) y (if (<=.f64 x -4232505880258613/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) x (if (<=.f64 x -3494208047704385/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) (.f64 z x) (if (<=.f64 x -2413894590269223/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) y (if (<=.f64 x 8139666055761541/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (.f64 z y) y))))))))))
(if (<=.f64 z -1) (.f64 z x) (if (<=.f64 z -5417775852004241/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) y (if (<=.f64 z 8865180569007683/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) x (if (<=.f64 z 11200) y (.f64 z x)))))
(if (<=.f64 y 3873374817130363/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) x y)
x

Compiler

Compiled 233 to 135 computations (42.1% saved)

soundness0.0ms (0%)

end209.0ms (1.9%)

Remove: (sort x y)
Compiler: Compiled 229 to 118 computations (48.5% saved)

Details

analyze1.0s (9.3%)

sample4.6s (42.3%)

preprocess12.0ms (0.1%)

simplify9.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite212.0ms (1.9%)

simplify224.0ms (2.1%)

eval7.0ms (0.1%)

prune8.0ms (0.1%)

localize181.0ms (1.7%)

series5.0ms (0%)

rewrite372.0ms (3.4%)

simplify432.0ms (4%)

localize10.0ms (0.1%)

localize5.0ms (0%)

series0.0ms (0%)

rewrite613.0ms (5.6%)

simplify496.0ms (4.5%)

localize5.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite172.0ms (1.6%)

simplify546.0ms (5%)

eval34.0ms (0.3%)

prune27.0ms (0.2%)

localize3.0ms (0%)

localize3.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite195.0ms (1.8%)

simplify142.0ms (1.3%)

localize5.0ms (0%)

series2.0ms (0%)

rewrite192.0ms (1.8%)

simplify143.0ms (1.3%)

eval20.0ms (0.2%)

prune18.0ms (0.2%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes48.0ms (0.4%)

regimes63.0ms (0.6%)

bsearch27.0ms (0.2%)

regimes55.0ms (0.5%)

bsearch13.0ms (0.1%)

regimes88.0ms (0.8%)

bsearch82.0ms (0.7%)

regimes84.0ms (0.8%)

bsearch36.0ms (0.3%)

regimes94.0ms (0.9%)

bsearch96.0ms (0.9%)

regimes64.0ms (0.6%)

bsearch49.0ms (0.4%)

regimes31.0ms (0.3%)

bsearch8.0ms (0.1%)

simplify109.0ms (1%)

soundness0.0ms (0%)

end209.0ms (1.9%)

Profiling