Details

analyze266.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample916.0ms (11.1%)

Results

787.0ms	8256×	body	256	valid
117.0ms	1254×	body	256	infinite

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

14×	`rational.json-simplify-2`
8×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	33	100
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	13	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% 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 (-.f64 1 x) y) (.f64 x z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite248.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`rational.json-simplify-1`
1382×	`exponential.json-3`
1382×	`rational.json-1`
1382×	`rational.json-2`
1382×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	75	38
2	160	38
3	306	38
4	573	38
5	1285	38
6	2930	38
7	5082	38
8	6317	38
9	7421	38
10	7501	38
11	7593	38
12	7682	38

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

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

Outputs

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

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

simplify438.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

3198×	`rational.json-simplify-41`
2708×	`rational.json-simplify-35`
1678×	`rational.json-simplify-2`
676×	`rational.json-simplify-51`
506×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	1821
1	207	1769
2	511	1769
3	1402	1769
4	2787	1769
5	3571	1769
6	3859	1769
7	4120	1769
8	4314	1769
9	4469	1769
10	4602	1769
11	4905	1769
12	4938	1769
13	4985	1769
14	5006	1769
15	5030	1769
16	5050	1769
17	5186	1769
18	5316	1769
19	5446	1769

Stop Event

1×	node limit

Counts

93 → 60

Calls

Call 1

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

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

eval11.0ms (0.1%)

Compiler: Compiled 681 to 385 computations (43.5% saved)

prune13.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Error

0.0b

Counts

61 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
▶	28.9b	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
▶	0.0b	(+.f64 y (*.f64 (+.f64 z (neg.f64 y)) x))
▶	28.9b	(*.f64 (+.f64 z (neg.f64 y)) x)
▶	39.8b	(*.f64 z x)
▶	23.9b	(*.f64 y (-.f64 1 x))
	34.7b	y

Compiler

Compiled 106 to 71 computations (33% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite144.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`rational.json-simplify-35`
1406×	`rational.json-1`
1406×	`rational.json-2`
1406×	`rational.json-3`
1390×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	69	40
2	150	40
3	317	40
4	650	40
5	1582	40
6	3188	40
7	4895	40
8	6324	40
9	7505	40

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

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

Outputs

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

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

simplify1.1s (13.7%)

Algorithm

1×	egg-herbie

Rules

4484×	`rational.json-simplify-35`
2198×	`rational.json-simplify-2`
926×	`rational.json-simplify-53`
864×	`rational.json-simplify-1`
832×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	2557
1	249	2399
2	581	2015
3	1537	1971
4	3160	1971
5	3933	1971
6	4356	1971
7	4723	1971
8	4960	1971
9	5129	1971
10	5745	1971
11	5842	1971
12	5963	1971
13	6030	1971
14	6078	1971
15	6078	1971
16	6258	1971
17	6401	1971
18	6619	1971
19	6814	1971
20	6967	1971
21	7110	1971
22	7253	1971
23	7396	1971
24	7539	1971
25	7539	1971
26	7617	1971
27	7622	1971
28	7630	1971
29	7632	1971
30	7632	1971
31	7775	1971
32	7918	1971

Stop Event

1×	node limit

Counts

109 → 69

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite186.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`rational.json-simplify-35`
1384×	`exponential.json-3`
1384×	`rational.json-1`
1384×	`rational.json-2`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	55	13
2	128	13
3	238	13
4	428	13
5	912	13
6	2337	13
7	4223	13
8	5298	13
9	6558	13
10	7658	13
11	7840	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify371.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2110×	`rational.json-simplify-35`
1960×	`rational.json-simplify-2`
1876×	`rational.json-simplify-53`
1046×	`rational.json-simplify-1`
984×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	484
1	170	462
2	332	462
3	766	462
4	2588	462
5	4347	462
6	4973	462
7	5177	462
8	5333	462
9	5508	462
10	6348	462
11	7533	462
12	7658	462
13	7709	462
14	7733	462
15	7751	462
16	7890	462

Stop Event

1×	node limit

Counts

34 → 32

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
1.0ms	z	@	0	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
0.0ms	x	@	0	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
0.0ms	y	@	0	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
0.0ms	x	@	-inf	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))

rewrite116.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`rational.json-simplify-35`
1616×	`rational.json-1`
1616×	`rational.json-2`
1616×	`rational.json-3`
1596×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	69	17
2	156	17
3	348	17
4	704	17
5	1724	17
6	3525	17
7	5524	17
8	7392	17

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify865.0ms (10.5%)

Algorithm

1×	egg-herbie

Rules

3362×	`rational.json-simplify-35`
2270×	`rational.json-simplify-2`
1346×	`rational.json-simplify-1`
860×	`rational.json-simplify-41`
774×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1635
1	202	1495
2	468	1141
3	1527	1141
4	3258	1141
5	4724	1141
6	5539	1141
7	5823	1141
8	5981	1141
9	6096	1141
10	6199	1141
11	6590	1141
12	6711	1141
13	6830	1141
14	6928	1141
15	7026	1141
16	7026	1141
17	7069	1141
18	7127	1141
19	7137	1141
20	7237	1141
21	7335	1141
22	7433	1141
23	7531	1141
24	7629	1141
25	7727	1141
26	7825	1141
27	7923	1141

Stop Event

1×	node limit

Counts

69 → 47

Calls

Call 1

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

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

eval31.0ms (0.4%)

Compiler: Compiled 1704 to 747 computations (56.2% saved)

prune26.0ms (0.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	171	4	175
Fresh	0	1	1
Picked	0	1	1
Done	2	3	5
Total	173	9	182

Error

0.0b

Counts

182 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	28.9b	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
▶	11.7b	(+.f64 y (*.f64 z x))
▶	28.9b	(*.f64 (-.f64 z y) x)
✓	39.8b	(*.f64 z x)
✓	23.9b	(*.f64 y (-.f64 1 x))
▶	51.7b	(*.f64 y (neg.f64 x))
	34.7b	y

Compiler

Compiled 74 to 49 computations (33.8% saved)

localize6.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-3`
1384×	`exponential.json-3`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	103	13
3	223	13
4	410	13
5	943	13
6	2572	13
7	5004	13
8	6579	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify187.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2446×	`rational.json-simplify-2`
1650×	`rational.json-simplify-35`
1114×	`rational.json-simplify-43`
950×	`rational.json-simplify-52`
850×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	833
1	169	791
2	338	677
3	749	677
4	2546	677
5	4295	677
6	4963	677
7	5290	677
8	5533	677
9	5819	677
10	6998	677

Stop Event

1×	node limit

Counts

47 → 35

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite180.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`rational.json-simplify-35`
1424×	`rational.json-simplify-1`
1386×	`exponential.json-3`
1386×	`rational.json-1`
1386×	`rational.json-2`

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	896	13
6	2312	13
7	4174	13
8	5358	13
9	6869	13
10	7680	13
11	7680	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify793.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

5824×	`rational.json-simplify-51`
3524×	`rational.json-simplify-35`
1364×	`rational.json-simplify-49`
1152×	`rational.json-simplify-2`
1114×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	689
1	121	689
2	420	689
3	1176	689
4	1869	689
5	2750	689
6	3233	689
7	3307	689
8	3355	689
9	3387	689
10	3419	689
11	3451	689
12	3483	689
13	3515	689
14	3547	689
15	3579	689
16	3611	689
17	3643	689
18	3675	689
19	4583	689
20	4842	689
21	4935	689
22	5024	689
23	5111	689
24	5197	689
25	5410	689
26	5410	689
27	5496	689
28	5582	689
29	5668	689
30	5754	689
31	5840	689
32	5926	689
33	6012	689
34	6098	689
35	6184	689

Stop Event

1×	node limit

Counts

59 → 26

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite109.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`rational.json-1`
1576×	`rational.json-simplify-35`
1284×	`rational.json-2`
1284×	`rational.json-3`
1276×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	52	19
2	114	19
3	248	19
4	474	19
5	1115	19
6	3171	19
7	5879	19
8	7874	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify1.4s (16.6%)

Algorithm

1×	egg-herbie

Rules

3494×	`rational.json-simplify-35`
2474×	`rational.json-simplify-2`
1398×	`rational.json-simplify-49`
1240×	`rational.json-simplify-1`
1116×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	1062
1	138	1020
2	375	966
3	1008	922
4	1575	922
5	2994	922
6	3849	922
7	3924	922
8	3970	922
9	4011	922
10	4505	922
11	4633	922
12	4731	922
13	4803	922
14	4859	922
15	4915	922
16	4971	922
17	5027	922
18	5083	922
19	6015	922
20	6740	922
21	6941	922
22	6994	922
23	7046	922
24	7098	922
25	7150	922
26	7202	922
27	7254	922
28	7254	922
29	7306	922
30	7358	922
31	7410	922
32	7462	922
33	7514	922
34	7566	922
35	7618	922
36	7670	922
37	7722	922
38	7774	922
39	7826	922
40	7878	922
41	7930	922
42	7982	922

Stop Event

1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

eval22.0ms (0.3%)

Compiler: Compiled 1385 to 594 computations (57.1% saved)

prune21.0ms (0.3%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	139	9	148

Error

0.0b

Counts

148 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	28.9b	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
✓	11.7b	(+.f64 y (*.f64 z x))
✓	28.9b	(*.f64 (-.f64 z y) x)
✓	39.8b	(*.f64 z x)
✓	23.9b	(*.f64 y (-.f64 1 x))
✓	51.7b	(*.f64 y (neg.f64 x))
	34.7b	y

Compiler

Compiled 74 to 49 computations (33.8% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	8	8
Total	9	9

Error

0.0b

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	28.9b	(+.f64 (.f64 (neg.f64 y) x) (.f64 x z))
✓	11.7b	(+.f64 y (*.f64 z x))
✓	28.9b	(*.f64 (-.f64 z y) x)
✓	39.8b	(*.f64 z x)
✓	23.9b	(*.f64 y (-.f64 1 x))
✓	51.7b	(*.f64 y (neg.f64 x))
	34.7b	y

Compiler

Compiled 74 to 49 computations (33.8% saved)

regimes33.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 88 to 41 computations (53.4% saved)

regimes21.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	z
7.0ms	x
6.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`

Compiler

Compiled 67 to 29 computations (56.7% saved)

regimes45.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
14.0ms	z
14.0ms	y

Results

Error	Segments	Branch
1.0b	3	`x`
8.3b	3	`y`
6.4b	3	`z`

Compiler

Compiled 44 to 24 computations (45.5% saved)

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.007067355822091952	1196.9616330499625
13.0ms	-199034939631.31638	-54656746.85122524

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 324 to 217 computations (33% saved)

regimes55.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	y
20.0ms	z
13.0ms	x

Results

Error	Segments	Branch
10.1b	3	`x`
13.1b	5	`y`
14.8b	5	`z`

Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	5.966293544111503e-10	7.422735924428837e-7
15.0ms	-8.953444490115432e-9	-6.262394371606599e-14

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

regimes63.0ms (0.8%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	x
21.0ms	y
17.0ms	z

Results

Error	Segments	Branch
17.6b	6	`x`
16.2b	5	`y`
16.3b	5	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch43.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
7.0ms	3.0181821670730834e-52	5.873977063857933e-52
11.0ms	8.122512876266514e-111	6.289492019500586e-109
10.0ms	1.592916583964079e-192	1.8145765386194696e-191
14.0ms	-2.792187060317988e-171	-8.089379035791449e-175

Results

37.0ms

400×

body

256

valid

Compiler

Compiled 418 to 313 computations (25.1% saved)

regimes64.0ms (0.8%)

Counts

3 → 8

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
22.0ms	z
16.0ms	y

Results

Error	Segments	Branch
17.0b	8	`x`
24.1b	5	`y`
24.5b	7	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch93.0ms (1.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
17.0ms	8.33679959912203e+92	3.1546974131317334e+95
15.0ms	2.2119088758574294e+79	6.758135013058539e+82
9.0ms	1.0182907171037824e+58	3.6591572445601215e+58
9.0ms	1.30651160360191e+30	4.549792091761281e+30
12.0ms	3.4675317698244856e-20	2.5060615801050497e-18
15.0ms	-8.953444490115432e-9	-6.262394371606599e-14
17.0ms	-2.794765535325789e+78	-1.943090043546341e+73

Results

75.0ms	816×	body	256	valid
9.0ms	84×	body	256	infinite

Compiler

Compiled 735 to 542 computations (26.3% saved)

regimes37.0ms (0.4%)

Accuracy

Total -40.8b remaining (-194.2%)

Threshold costs -40.8b (-194.2%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 z x)

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

Calls

3 calls:

14.0ms	y
14.0ms	z
9.0ms	x

Results

Error	Segments	Branch
21.0b	3	`x`
24.1b	5	`y`
25.8b	5	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	3.4675317698244856e-20	2.5060615801050497e-18
15.0ms	-8.953444490115432e-9	-6.262394371606599e-14

Results

23.0ms

256×

body

256

valid

Compiler

Compiled 210 to 157 computations (25.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	406

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(+.f64 (*.f64 (-.f64 z y) x) y)
(if (<=.f64 x -55000000) (.f64 (-.f64 z y) x) (if (<=.f64 x 1) (+.f64 y (.f64 z x)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -870426590122533/9671406556917033397649408) (.f64 (-.f64 z y) x) (if (<=.f64 x 6346860552976803/75557863725914323419136) (.f64 y (-.f64 1 x)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 y -1870965447976631/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (.f64 y (-.f64 1 x)) (if (<=.f64 y 5778957899650313/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (.f64 z x) (if (<=.f64 y 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 y (-.f64 1 x)) (if (<=.f64 y 5931188266773141/13479973333575319897333507543509815336818572211270286240551805124608) (.f64 z x) (*.f64 y (-.f64 1 x))))))
(if (<=.f64 x -2749999999999999869091406693783616732381031427894981851579760129284579302309888) (.f64 y (neg.f64 x)) (if (<=.f64 x -7288990951312319/79228162514264337593543950336) (.f64 z x) (if (<=.f64 x 6230756230241793/5192296858534827628530496329220096) y (if (<=.f64 x 3900000000000000105697534541824) (.f64 z x) (if (<=.f64 x 17000000000000000299220050373850724098239315364942769553408) (.f64 y (neg.f64 x)) (if (<=.f64 x 179999999999999997415090464761131430319373630034400648404260174402553784691589120) (.f64 z x) (if (<=.f64 x 4600000000000000315327655320564451360706334303466828687512144096586701378750117118243218915328) (.f64 y (neg.f64 x)) (*.f64 z x))))))))
(if (<=.f64 x -3249592603124123/38685626227668133590597632) (.f64 z x) (if (<=.f64 x 1492785346828763/649037107316853453566312041152512) y (.f64 z x)))
y

Outputs
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(+.f64 (*.f64 (-.f64 z y) x) y)
(if (<=.f64 x -55000000) (.f64 (-.f64 z y) x) (if (<=.f64 x 1) (+.f64 y (.f64 z x)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -870426590122533/9671406556917033397649408) (.f64 (-.f64 z y) x) (if (<=.f64 x 6346860552976803/75557863725914323419136) (.f64 y (-.f64 1 x)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 y -1870965447976631/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (.f64 y (-.f64 1 x)) (if (<=.f64 y 5778957899650313/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (.f64 z x) (if (<=.f64 y 3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 y (-.f64 1 x)) (if (<=.f64 y 5931188266773141/13479973333575319897333507543509815336818572211270286240551805124608) (.f64 z x) (*.f64 y (-.f64 1 x))))))
(if (<=.f64 x -2749999999999999869091406693783616732381031427894981851579760129284579302309888) (.f64 y (neg.f64 x)) (if (<=.f64 x -7288990951312319/79228162514264337593543950336) (.f64 z x) (if (<=.f64 x 6230756230241793/5192296858534827628530496329220096) y (if (<=.f64 x 3900000000000000105697534541824) (.f64 z x) (if (<=.f64 x 17000000000000000299220050373850724098239315364942769553408) (.f64 y (neg.f64 x)) (if (<=.f64 x 179999999999999997415090464761131430319373630034400648404260174402553784691589120) (.f64 z x) (if (<=.f64 x 4600000000000000315327655320564451360706334303466828687512144096586701378750117118243218915328) (.f64 y (neg.f64 x)) (*.f64 z x))))))))
(if (<=.f64 x -3249592603124123/38685626227668133590597632) (.f64 z x) (if (<=.f64 x 1492785346828763/649037107316853453566312041152512) y (.f64 z x)))
y

Compiler

Compiled 192 to 106 computations (44.8% saved)

soundness0.0ms (0%)

end64.0ms (0.8%)

Compiler: Compiled 171 to 78 computations (54.4% saved)

Details

analyze266.0ms (3.2%)

sample916.0ms (11.1%)

preprocess5.0ms (0.1%)

simplify9.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series4.0ms (0%)

rewrite248.0ms (3%)

simplify438.0ms (5.3%)

eval11.0ms (0.1%)

prune13.0ms (0.2%)

localize10.0ms (0.1%)

series4.0ms (0%)

rewrite144.0ms (1.7%)

simplify1.1s (13.7%)

localize3.0ms (0%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite186.0ms (2.3%)

simplify371.0ms (4.5%)

localize6.0ms (0.1%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite116.0ms (1.4%)

simplify865.0ms (10.5%)

eval31.0ms (0.4%)

prune26.0ms (0.3%)

localize6.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite105.0ms (1.3%)

simplify187.0ms (2.3%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite180.0ms (2.2%)

simplify793.0ms (9.6%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite109.0ms (1.3%)

simplify1.4s (16.6%)

eval22.0ms (0.3%)

prune21.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes33.0ms (0.4%)

regimes21.0ms (0.3%)

regimes45.0ms (0.5%)

bsearch28.0ms (0.3%)

regimes55.0ms (0.7%)

bsearch29.0ms (0.4%)

regimes63.0ms (0.8%)

bsearch43.0ms (0.5%)

regimes64.0ms (0.8%)

bsearch93.0ms (1.1%)

regimes37.0ms (0.4%)

bsearch26.0ms (0.3%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end64.0ms (0.8%)

Profiling