Details

analyze376.0ms (2.7%)

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)

sample4.2s (31%)

Results

3.9s	8253×	body	256	valid
366.0ms	1095×	body	256	infinite
1.0ms	3×	body	1024	valid

Bogosity

preprocess11.0ms (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)

simplify211.0ms (1.5%)

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%)

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
0.0ms	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))

rewrite216.0ms (1.6%)

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)))))

simplify428.0ms (3.1%)

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))

eval5.0ms (0%)

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

prune57.0ms (0.4%)

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

0.0b

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))
▶	21.0b	(+.f64 y x)
▶	43.4b	(*.f64 (+.f64 y x) z)
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
▶	31.7b	(*.f64 (+.f64 1 z) x)
▶	32.2b	(*.f64 y (-.f64 z -1))

Compiler

Compiled 122 to 81 computations (33.6% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 6 computations (73.9% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite159.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`rational.json-1`
1784×	`rational.json-2`
1784×	`rational.json-3`
1718×	`rational.json-simplify-35`
1372×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	55	32
2	128	32
3	289	32
4	616	32
5	1593	32
6	3719	32
7	5823	32
8	7609	32

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify276.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2192×	`rational.json-simplify-2`
2132×	`rational.json-simplify-35`
1160×	`rational.json-simplify-51`
1046×	`rational.json-simplify-1`
838×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	2638
1	363	2638
2	737	2638
3	2122	2320
4	4887	2320
5	5607	2320
6	5980	2320
7	6210	2320
8	6532	2320
9	7012	2320

Stop Event

1×	node limit

Counts

130 → 89

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

localize3.0ms (0%)

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

localize167.0ms (1.2%)

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)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite757.0ms (5.5%)

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)))))

simplify485.0ms (3.5%)

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))

localize6.0ms (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)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite182.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`rational.json-simplify-1`
1502×	`rational.json-simplify-35`
1372×	`exponential.json-3`
1372×	`rational.json-1`
1372×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	136	13
3	241	13
4	441	13
5	938	13
6	2379	13
7	4160	13
8	5233	13
9	6760	13
10	7595	13
11	7595	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify576.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2778×	`rational.json-simplify-2`
2570×	`rational.json-simplify-35`
1512×	`rational.json-simplify-53`
1212×	`rational.json-simplify-1`
1048×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	314
1	126	314
2	236	314
3	529	314
4	1881	314
5	3654	314
6	4197	314
7	4382	314
8	4566	314
9	4756	314
10	4928	314
11	5927	314
12	6533	314
13	6808	314
14	6808	314
15	6862	314
16	6887	314
17	6970	314
18	7015	314
19	7191	314
20	7335	314
21	7467	314

Stop Event

1×	node limit

Counts

26 → 20

Calls

Call 1

Inputs
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)
(+.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)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 z) (*.f64 x 8))))))) 256)
(pow.f64 (*.f64 (+.f64 1 z) x) 1)

Outputs
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))
(+.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))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 z) (*.f64 x 8))))))) 256)
(*.f64 x (+.f64 z 1))
(pow.f64 (*.f64 (+.f64 1 z) x) 1)
(*.f64 x (+.f64 z 1))

localize375.0ms (2.7%)

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)

series1.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite168.0ms (1.2%)

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)))))

simplify676.0ms (4.9%)

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))

eval27.0ms (0.2%)

Compiler: Compiled 1515 to 857 computations (43.4% saved)

prune318.0ms (2.3%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	141	7	148
Fresh	1	0	1
Picked	0	1	1
Done	1	4	5
Total	143	12	155

Error

0.0b

Counts

155 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.3b	(+.f64 (.f64 z x) (.f64 z y))
▶	31.7b	(+.f64 (*.f64 z x) x)
▶	32.2b	(+.f64 (*.f64 y z) y)
✓	21.0b	(+.f64 y x)
✓	43.4b	(*.f64 (+.f64 y x) z)
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	31.7b	(*.f64 (+.f64 1 z) x)
▶	52.3b	(*.f64 z y)
▶	54.1b	(*.f64 z x)
✓	32.2b	(*.f64 y (-.f64 z -1))
	43.3b	y
	40.6b	x

Compiler

Compiled 124 to 82 computations (33.9% saved)

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)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite326.0ms (2.4%)

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)))))

simplify223.0ms (1.6%)

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))

localize3.0ms (0%)

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

localize3.0ms (0%)

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 (*.f64 y z) y)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite193.0ms (1.4%)

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)))))

simplify417.0ms (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))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite169.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2754×	`rational.json-simplify-2`
1304×	`rational.json-1`
1304×	`rational.json-2`
1304×	`rational.json-3`
1284×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	53	13
2	117	13
3	255	13
4	474	13
5	1107	13
6	2764	13
7	4899	13
8	6163	13
9	7022	13
10	7022	13

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify173.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2056×	`rational.json-simplify-2`
1588×	`rational.json-simplify-35`
1518×	`rational.json-simplify-1`
1470×	`rational.json-simplify-53`
1310×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1056
1	245	1056
2	566	1056
3	1470	1056
4	3721	1056
5	5518	1056
6	5974	1056
7	6094	1056
8	6220	1056
9	6344	1056
10	6492	1056

Stop Event

1×	node limit

Counts

84 → 55

Calls

Call 1

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

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

eval27.0ms (0.2%)

Compiler: Compiled 1379 to 865 computations (37.3% saved)

prune120.0ms (0.9%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	2	2
Picked	0	1	1
Done	0	9	9
Total	154	12	166

Error

0.0b

Counts

166 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.3b	(+.f64 (.f64 z x) (.f64 z y))
✓	31.7b	(+.f64 (*.f64 z x) x)
✓	32.2b	(+.f64 (*.f64 y z) y)
✓	21.0b	(+.f64 y x)
✓	43.4b	(*.f64 (+.f64 y x) z)
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	31.7b	(*.f64 (+.f64 1 z) x)
✓	52.3b	(*.f64 z y)
✓	54.1b	(*.f64 z x)
✓	32.2b	(*.f64 y (-.f64 z -1))
	43.3b	y
	40.6b	x

Compiler

Compiled 86 to 58 computations (32.6% saved)

eval0.0ms (0%)

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

prune5.0ms (0%)

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

0.0b

Counts

12 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.3b	(+.f64 (.f64 z x) (.f64 z y))
✓	31.7b	(+.f64 (*.f64 z x) x)
✓	32.2b	(+.f64 (*.f64 y z) y)
✓	21.0b	(+.f64 y x)
✓	43.4b	(*.f64 (+.f64 y x) z)
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	31.7b	(*.f64 (+.f64 1 z) x)
✓	52.3b	(*.f64 z y)
✓	54.1b	(*.f64 z x)
✓	32.2b	(*.f64 y (-.f64 z -1))
	43.3b	y
	40.6b	x

Compiler

Compiled 86 to 58 computations (32.6% saved)

regimes148.0ms (1.1%)

Counts

14 → 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 x) (.f64 z y))
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 (.f64 (+.f64 1 z) x) (.f64 y (+.f64 1 z)))

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

Calls

6 calls:

110.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))
8.0ms	x
8.0ms	(+.f64 x y)
8.0ms	y
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 107 to 55 computations (48.6% saved)

regimes42.0ms (0.3%)

Counts

12 → 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 x) (.f64 z y))

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

Calls

6 calls:

7.0ms	(+.f64 x y)
7.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))
7.0ms	y
7.0ms	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 87 to 46 computations (47.1% saved)

regimes126.0ms (0.9%)

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:

97.0ms	x
16.0ms	z
11.0ms	y

Results

Error	Segments	Branch
11.3b	3	`x`
8.7b	2	`y`
2.8b	3	`z`

Compiler

Compiled 51 to 25 computations (51% saved)

bsearch138.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
125.0ms	0.10416220376281853	3.3909476150799054
13.0ms	-29.210694115848895	-0.06554520646485185

Results

135.0ms

240×

body

256

valid

Compiler

Compiled 256 to 177 computations (30.9% saved)

regimes170.0ms (1.2%)

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:

133.0ms	y
22.0ms	z
13.0ms	x

Results

Error	Segments	Branch
11.3b	3	`x`
8.7b	2	`y`
9.1b	5	`z`

Compiler

Compiled 36 to 21 computations (41.7% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	3.8795883991240715e-115	5.854925360248778e-114

Results

9.0ms

96×

body

256

valid

Compiler

Compiled 124 to 96 computations (22.6% saved)

regimes45.0ms (0.3%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	z
13.0ms	y
8.0ms	x

Results

Error	Segments	Branch
14.7b	2	`x`
15.0b	2	`y`
9.1b	5	`z`

Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch304.0ms (2.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
192.0ms	1.4834374421955185e+280	6.193837866839313e+297
83.0ms	8.057906179909887e+136	1.1883374896278803e+139
13.0ms	1.1671558353098941e-7	0.0004185553938990931
12.0ms	-1.4531823484742569e-12	-1.8960333001925944e-15

Results

249.0ms	278×	body	256	infinite
46.0ms	528×	body	256	valid

Compiler

Compiled 524 to 388 computations (26% saved)

regimes31.0ms (0.2%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	z
5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
21.0b	1	`x`
21.0b	1	`y`
10.6b	5	`z`

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch351.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
225.0ms	1.4834374421955185e+280	6.193837866839313e+297
17.0ms	8.057906179909887e+136	1.1883374896278803e+139
97.0ms	4938.945058355583	6131218.551842888
12.0ms	-29.210694115848895	-0.06554520646485185

Results

215.0ms	299×	body	256	infinite
129.0ms	528×	body	256	valid

Compiler

Compiled 478 to 342 computations (28.5% saved)

regimes383.0ms (2.8%)

Counts

4 → 10

Calls

Call 1

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

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

Calls

3 calls:

256.0ms	x
116.0ms	z
10.0ms	y

Results

Error	Segments	Branch
27.5b	4	`x`
26.5b	2	`y`
23.8b	10	`z`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch140.0ms (1%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
39.0ms	1.4834374421955185e+280	6.193837866839313e+297
19.0ms	8.057906179909887e+136	1.1883374896278803e+139
12.0ms	0.10416220376281853	3.3909476150799054
15.0ms	1.7333320714049719e-124	2.3198928063833192e-116
9.0ms	1.9537031686402953e-253	1.9849966272418505e-252
15.0ms	-5.986968020482493e-265	-6.431436341587119e-268
11.0ms	-5.900522900235361e-180	-1.8484975130868807e-181
7.0ms	-2.1534412057770637e-80	-1.4917887204205615e-80
13.0ms	-29.210694115848895	-0.06554520646485185

Results

101.0ms	1056×	body	256	valid
26.0ms	297×	body	256	infinite

Compiler

Compiled 774 to 589 computations (23.9% saved)

regimes53.0ms (0.4%)

Accuracy

Total -36.1b remaining (-136%)

Threshold costs -36.1b (-136%)

Counts

3 → 2

Calls

Call 1

Inputs
x
y
(*.f64 z x)

Outputs
x
y

Calls

3 calls:

26.0ms	z
19.0ms	x
7.0ms	y

Results

Error	Segments	Branch
27.5b	4	`x`
26.5b	2	`y`
26.5b	8	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	3.8795883991240715e-115	5.854925360248778e-114

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 76 to 60 computations (21.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	411

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(*.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 8040742112950363/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (.f64 (+.f64 1 z) x) (.f64 y (-.f64 z -1)))
(if (<=.f64 z -3590026113927603/2475880078570760549798248448) (.f64 y (-.f64 z -1)) (if (<=.f64 z 2095550126773405/295147905179352825856) (+.f64 y x) (if (<=.f64 z 2600000000000000085388062471932807805366232672534990408332014908272742217936848788414403420632091272978268712439238332504486075648949878784) (.f64 y (-.f64 z -1)) (if (<=.f64 z 214999999999999999696427936429384560434066933642236699428360473041666243355951006023233321655457942234650941277831521040171116441947827236676351912058014976201807478951002678462285465484264927498912701601075666778228230645069551033265377406564783592919638327320711005952407869732159488) (.f64 z x) (.f64 z y)))))
(if (<=.f64 z -1) (.f64 z y) (if (<=.f64 z 180000) (+.f64 y x) (if (<=.f64 z 2900000000000000095240531218694285629062336442442873916985708936150366320006485187077603815320409496783453563874535063178080622839213326336) (.f64 z y) (if (<=.f64 z 9199999999999999745616196634337600717858396833999935861997000196254656302436693956433964521197966854846685773733059789752380033155068321693119131839022840007272928196046700494758690448339431926761918875338430536328367818753361491546693826327825971308728191983613385136883173089032959688704) (.f64 z x) (.f64 z y)))))
(if (<=.f64 z -1) (.f64 z y) (if (<=.f64 z -5606965969292389/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) x (if (<=.f64 z -6540714869423179/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) y (if (<=.f64 z -4991817014543339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824) x (if (<=.f64 z 593299522271499/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) y (if (<=.f64 z 6847402253844053/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) x (if (<=.f64 z 1) y (if (<=.f64 z 800000000000000026273249991363940863189610053087689356409850741006997605519030396435201052502181930147159603827457948462918792507369193472) (.f64 z y) (if (<=.f64 z 62000000000000003480902574802694151144181681836818374767031493142373828603679306386716419818981613489893155605457443542587634784188060975485355855331852088011127418382208285832723243455376555288089611870929859483386843401166731346563096875089093104020390405439782783890191145193960638345379840) (.f64 z x) (.f64 z y))))))))))
(if (<=.f64 y 8318009082362445/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) x y)
x

Outputs
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
(*.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 8040742112950363/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (.f64 (+.f64 1 z) x) (.f64 y (-.f64 z -1)))
(if (<=.f64 z -3590026113927603/2475880078570760549798248448) (.f64 y (-.f64 z -1)) (if (<=.f64 z 2095550126773405/295147905179352825856) (+.f64 y x) (if (<=.f64 z 2600000000000000085388062471932807805366232672534990408332014908272742217936848788414403420632091272978268712439238332504486075648949878784) (.f64 y (-.f64 z -1)) (if (<=.f64 z 214999999999999999696427936429384560434066933642236699428360473041666243355951006023233321655457942234650941277831521040171116441947827236676351912058014976201807478951002678462285465484264927498912701601075666778228230645069551033265377406564783592919638327320711005952407869732159488) (.f64 z x) (.f64 z y)))))
(if (<=.f64 z -1) (.f64 z y) (if (<=.f64 z 180000) (+.f64 y x) (if (<=.f64 z 2900000000000000095240531218694285629062336442442873916985708936150366320006485187077603815320409496783453563874535063178080622839213326336) (.f64 z y) (if (<=.f64 z 9199999999999999745616196634337600717858396833999935861997000196254656302436693956433964521197966854846685773733059789752380033155068321693119131839022840007272928196046700494758690448339431926761918875338430536328367818753361491546693826327825971308728191983613385136883173089032959688704) (.f64 z x) (.f64 z y)))))
(if (<=.f64 z -1) (.f64 z y) (if (<=.f64 z -5606965969292389/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) x (if (<=.f64 z -6540714869423179/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) y (if (<=.f64 z -4991817014543339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824) x (if (<=.f64 z 593299522271499/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) y (if (<=.f64 z 6847402253844053/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) x (if (<=.f64 z 1) y (if (<=.f64 z 800000000000000026273249991363940863189610053087689356409850741006997605519030396435201052502181930147159603827457948462918792507369193472) (.f64 z y) (if (<=.f64 z 62000000000000003480902574802694151144181681836818374767031493142373828603679306386716419818981613489893155605457443542587634784188060975485355855331852088011127418382208285832723243455376555288089611870929859483386843401166731346563096875089093104020390405439782783890191145193960638345379840) (.f64 z x) (.f64 z y))))))))))
(if (<=.f64 y 8318009082362445/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) x y)
x

Compiler

Compiled 205 to 119 computations (42% saved)

soundness248.0ms (1.8%)

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

Compiler

Compiled 57 to 16 computations (71.9% saved)

end73.0ms (0.5%)

Remove: (sort x y)
Compiler: Compiled 205 to 100 computations (51.2% saved)

Details

analyze376.0ms (2.7%)

sample4.2s (31%)

preprocess11.0ms (0.1%)

simplify211.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0%)

series3.0ms (0%)

rewrite216.0ms (1.6%)

simplify428.0ms (3.1%)

eval5.0ms (0%)

prune57.0ms (0.4%)

localize6.0ms (0%)

series4.0ms (0%)

rewrite159.0ms (1.2%)

simplify276.0ms (2%)

localize3.0ms (0%)

localize167.0ms (1.2%)

series1.0ms (0%)

rewrite757.0ms (5.5%)

simplify485.0ms (3.5%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite182.0ms (1.3%)

simplify576.0ms (4.2%)

localize375.0ms (2.7%)

series1.0ms (0%)

rewrite168.0ms (1.2%)

simplify676.0ms (4.9%)

eval27.0ms (0.2%)

prune318.0ms (2.3%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite326.0ms (2.4%)

simplify223.0ms (1.6%)

localize3.0ms (0%)

localize3.0ms (0%)

localize5.0ms (0%)

series3.0ms (0%)

rewrite193.0ms (1.4%)

simplify417.0ms (3%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite169.0ms (1.2%)

simplify173.0ms (1.3%)

eval27.0ms (0.2%)

prune120.0ms (0.9%)

eval0.0ms (0%)

prune5.0ms (0%)

regimes148.0ms (1.1%)

regimes42.0ms (0.3%)

regimes126.0ms (0.9%)

bsearch138.0ms (1%)

regimes170.0ms (1.2%)

bsearch11.0ms (0.1%)

regimes45.0ms (0.3%)

bsearch304.0ms (2.2%)

regimes31.0ms (0.2%)

bsearch351.0ms (2.6%)

regimes383.0ms (2.8%)

bsearch140.0ms (1%)

regimes53.0ms (0.4%)

bsearch11.0ms (0.1%)

simplify9.0ms (0.1%)

soundness248.0ms (1.8%)

end73.0ms (0.5%)

Profiling