Details

analyze831.0ms (7.9%)

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)

sample3.6s (34.6%)

Results

3.0s	8256×	body	256	valid
662.0ms	1286×	body	256	infinite

Bogosity

preprocess70.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

14×	`rational.json-simplify-2`
14×	`rational.json-simplify-1`
6×	`rational.json-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	37	100
2	40	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 x y) (.f64 (-.f64 x 1) z))
(+.f64 (.f64 y x) (.f64 (-.f64 y 1) z))
(+.f64 (.f64 z y) (.f64 (-.f64 z 1) x))
(+.f64 (.f64 x z) (.f64 (-.f64 x 1) y))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-2`
4×	`rational.json-simplify-1`
2×	`rational.json-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	15	25
2	16	25

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 12 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

15 calls:

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

rewrite282.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2934×	`rational.json-simplify-35`
1444×	`rational.json-simplify-1`
1244×	`exponential.json-3`
1244×	`rational.json-1`
1244×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	77	38
2	167	38
3	309	38
4	586	38
5	1316	38
6	2595	38
7	3966	38
8	5259	38
9	6559	38
10	7180	38
11	7180	38
12	7180	38

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

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

Outputs

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

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

simplify589.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

2556×	`rational.json-simplify-35`
2244×	`rational.json-simplify-2`
1232×	`rational.json-simplify-1`
1164×	`rational.json-simplify-42`
854×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1863
1	242	1595
2	564	1595
3	1588	1595
4	3185	1595
5	4034	1595
6	4421	1595
7	4765	1595
8	5030	1595
9	5213	1595
10	5412	1595
11	5931	1595
12	6187	1595
13	6785	1595
14	6949	1595
15	7109	1595
16	7239	1595
17	7590	1595
18	7770	1595

Stop Event

1×	node limit

Counts

87 → 56

Calls

Call 1

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

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

eval12.0ms (0.1%)

Compiler: Compiled 751 to 466 computations (37.9% saved)

prune12.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Error

0.0b

Counts

57 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	25.7b	(+.f64 (.f64 x y) (.f64 z x))
▶	11.9b	(+.f64 (*.f64 x y) (neg.f64 z))
▶	0.0b	(+.f64 (neg.f64 z) (*.f64 x (+.f64 z y)))
▶	25.8b	(*.f64 (-.f64 x 1) z)
▶	25.7b	(*.f64 (+.f64 y z) x)
▶	37.1b	(*.f64 y x)

Compiler

Compiled 104 to 68 computations (34.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite154.0ms (1.5%)

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	36
1	69	36
2	150	36
3	317	36
4	650	36
5	1581	36
6	3186	36
7	4891	36
8	6322	36
9	7501	36

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

Outputs

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

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

simplify477.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2452×	`rational.json-simplify-35`
2110×	`rational.json-simplify-2`
1638×	`rational.json-simplify-1`
1190×	`rational.json-simplify-48`
870×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1968
1	252	1968
2	586	1968
3	1579	1668
4	3401	1668
5	4601	1668
6	5130	1668
7	5511	1668
8	5895	1668
9	6147	1668
10	6350	1668
11	6755	1668
12	6969	1668
13	7214	1668
14	7259	1668
15	7302	1668
16	7476	1668
17	7813	1668

Stop Event

1×	node limit

Counts

110 → 56

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 y z) 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	y	@	-inf	(*.f64 (+.f64 y z) x)
0.0ms	z	@	0	(*.f64 (+.f64 y z) x)
0.0ms	x	@	-inf	(*.f64 (+.f64 y z) x)
0.0ms	y	@	0	(*.f64 (+.f64 y z) x)
0.0ms	y	@	inf	(*.f64 (+.f64 y z) x)

rewrite183.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify568.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

3048×	`rational.json-simplify-2`
2748×	`rational.json-simplify-35`
2224×	`rational.json-simplify-53`
1042×	`exponential.json-simplify-26`
1042×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	650
1	127	458
2	238	458
3	543	458
4	1939	458
5	3812	458
6	4406	458
7	4549	458
8	4656	458
9	4761	458
10	4864	458
11	5827	458
12	6438	458
13	6712	458
14	6712	458
15	6712	458
16	6815	458
17	6918	458
18	7487	458
19	7745	458

Stop Event

1×	node limit

Counts

38 → 20

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite232.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`rational.json-simplify-1`
1390×	`exponential.json-3`
1390×	`rational.json-1`
1390×	`rational.json-2`
1390×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	62	17
2	139	17
3	292	17
4	586	17
5	1410	17
6	2769	17
7	4152	17
8	5349	17
9	6350	17
10	6842	17
11	7345	17
12	7693	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify344.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3228×	`rational.json-simplify-51`
2254×	`rational.json-simplify-48`
1828×	`rational.json-simplify-1`
1608×	`rational.json-simplify-35`
1498×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	905
1	132	905
2	325	905
3	961	905
4	1601	905
5	2711	905
6	2784	905
7	2880	905
8	2944	905
9	3002	905
10	3505	905
11	4251	905
12	4374	905
13	4631	905
14	5258	905
15	5365	905
16	5412	905
17	5459	905
18	5506	905
19	6506	905

Stop Event

1×	node limit

Counts

59 → 28

Calls

Call 1

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

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

eval20.0ms (0.2%)

Compiler: Compiled 1281 to 617 computations (51.8% saved)

prune21.0ms (0.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	1	0	1
Picked	0	1	1
Done	2	2	4
Total	122	8	130

Error

0.0b

Counts

130 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.7b	(-.f64 (*.f64 z x) z)
▶	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
▶	25.7b	(+.f64 (.f64 z x) (.f64 y x))
✓	11.9b	(+.f64 (*.f64 x y) (neg.f64 z))
✓	25.7b	(*.f64 (+.f64 y z) x)
▶	51.1b	(*.f64 z x)
✓	37.1b	(*.f64 y x)
▶	37.1b	(neg.f64 z)

Compiler

Compiled 101 to 65 computations (35.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series1.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite131.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`rational.json-1`
1562×	`rational.json-simplify-35`
1192×	`rational.json-2`
1192×	`rational.json-3`
1188×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	52	32
2	114	32
3	248	32
4	474	32
5	1109	32
6	3093	32
7	5635	32
8	7820	32

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify215.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2398×	`rational.json-simplify-2`
1486×	`rational.json-simplify-35`
1102×	`rational.json-simplify-1`
996×	`rational.json-simplify-51`
724×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	148	2411
1	333	2127
2	783	2127
3	2333	2127
4	4089	2127
5	4609	2127
6	5111	2127
7	5824	2127
8	6707	2127
9	7418	2127

Stop Event

1×	node limit

Counts

131 → 77

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize3.0ms (0%)

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

localize5.0ms (0%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

1 → 18

Calls

9 calls:

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

rewrite172.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2744×	`rational.json-simplify-2`
1304×	`rational.json-1`
1304×	`rational.json-2`
1304×	`rational.json-3`
1284×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	53	13
2	117	13
3	255	13
4	474	13
5	1107	13
6	2766	13
7	4904	13
8	6168	13
9	7027	13
10	7027	13

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify220.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2970×	`rational.json-simplify-2`
1610×	`rational.json-simplify-35`
1486×	`rational.json-simplify-53`
1434×	`rational.json-simplify-1`
1292×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	822
1	243	822
2	563	822
3	1463	822
4	3712	822
5	5428	822
6	6357	822
7	6507	822
8	6629	822
9	6745	822
10	6888	822
11	7956	822

Stop Event

1×	node limit

Counts

66 → 54

Calls

Call 1

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

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

eval21.0ms (0.2%)

Compiler: Compiled 1345 to 616 computations (54.2% saved)

prune20.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	131	8	139

Error

0.0b

Counts

139 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.7b	(-.f64 (*.f64 z x) z)
▶	11.9b	(-.f64 (*.f64 y x) z)
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
✓	25.7b	(+.f64 (.f64 z x) (.f64 y x))
✓	25.7b	(*.f64 (+.f64 y z) x)
✓	51.1b	(*.f64 z x)
✓	37.1b	(*.f64 y x)
✓	37.1b	(neg.f64 z)

Compiler

Compiled 61 to 39 computations (36.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`exponential.json-3`
1498×	`rational.json-1`
1498×	`rational.json-2`
1498×	`rational.json-4`
1498×	`rational.json-3`

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	938	13
6	2497	13
7	4726	13
8	6534	13

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify437.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1920×	`rational.json-simplify-1`
1750×	`rational.json-simplify-45`
1748×	`rational.json-simplify-35`
1610×	`rational.json-simplify-2`
842×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1177
1	223	1177
2	665	1177
3	1657	1177
4	2688	1177
5	3837	1177
6	4623	1177
7	4819	1177
8	5129	1177
9	5789	1177
10	6338	1177
11	6917	1177
12	7696	1177
13	7976	1177
14	7991	1177
15	8000	1177

Stop Event

1×	node limit

Counts

83 → 53

Calls

Call 1

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

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

eval8.0ms (0.1%)

Compiler: Compiled 482 to 230 computations (52.3% saved)

prune10.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	53	8	61

Error

0.0b

Counts

61 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.7b	(-.f64 (*.f64 z x) z)
✓	11.9b	(-.f64 (*.f64 y x) z)
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
✓	25.7b	(+.f64 (.f64 z x) (.f64 y x))
✓	25.7b	(*.f64 (+.f64 y z) x)
✓	51.1b	(*.f64 z x)
✓	37.1b	(*.f64 y x)
✓	37.1b	(neg.f64 z)

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes33.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 99 to 43 computations (56.6% saved)

regimes58.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
17.0ms	z
16.0ms	x

Results

Error	Segments	Branch
0.8b	3	`x`
7.2b	3	`y`
7.6b	3	`z`

Compiler

Compiled 63 to 26 computations (58.7% saved)

bsearch26.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	3.4592508225042433e-10	3.207191698996208e-9
16.0ms	-393950.8824775174	-0.11849718931952065

Results

23.0ms

240×

body

256

valid

Compiler

Compiled 300 to 199 computations (33.7% saved)

regimes49.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
15.0ms	x
14.0ms	z

Results

Error	Segments	Branch
0.8b	3	`x`
7.2b	3	`y`
7.6b	3	`z`

Compiler

Compiled 49 to 24 computations (51% saved)

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	3.4592508225042433e-10	3.207191698996208e-9
15.0ms	-393950.8824775174	-0.11849718931952065

Results

22.0ms

240×

body

256

valid

Compiler

Compiled 288 to 193 computations (33% saved)

regimes49.0ms (0.5%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	x
17.0ms	z
12.0ms	y

Results

Error	Segments	Branch
11.2b	5	`x`
14.4b	3	`y`
13.8b	3	`z`

Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch50.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
10.0ms	3.4592508225042433e-10	3.207191698996208e-9
17.0ms	-1.706842474850474e-165	-1.5188710172418922e-180
14.0ms	-5.7093336439762436e-27	-1.235750600187763e-31
9.0ms	-4.260849081416492e-12	-1.071565196302158e-12

Results

45.0ms

464×

body

256

valid

Compiler

Compiled 540 to 390 computations (27.8% saved)

regimes64.0ms (0.6%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	y
18.0ms	x
14.0ms	z

Results

Error	Segments	Branch
11.2b	5	`x`
18.8b	9	`y`
19.3b	3	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch57.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	9.233978587942072e-29	1.9005240631022774e-17
17.0ms	-1.706842474850474e-165	-1.5188710172418922e-180
13.0ms	-5.7093336439762436e-27	-1.235750600187763e-31
9.0ms	-4.260849081416492e-12	-1.071565196302158e-12

Results

51.0ms

528×

body

256

valid

Compiler

Compiled 513 to 376 computations (26.7% saved)

regimes41.0ms (0.4%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	x
12.0ms	z
10.0ms	y

Results

Error	Segments	Branch
20.8b	6	`x`
25.7b	3	`y`
25.3b	3	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch78.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
13.0ms	1.7875898320371537e+41	4.819824926322189e+42
16.0ms	335.29985146870143	201964605227.11444
17.0ms	9.233978587942072e-29	1.9005240631022774e-17
17.0ms	-393950.8824775174	-0.11849718931952065
15.0ms	-8.709373707890715e+178	-1.9004284191949838e+178

Results

62.0ms	656×	body	256	valid
6.0ms	69×	body	256	infinite

Compiler

Compiled 573 to 423 computations (26.2% saved)

regimes34.0ms (0.3%)

Accuracy

Total -39.3b remaining (-174%)

Threshold costs -39.3b (-174%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
11.0ms	z
8.0ms	y

Results

Error	Segments	Branch
22.6b	5	`x`
25.7b	3	`y`
25.3b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch56.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	9.233978587942072e-29	1.9005240631022774e-17
17.0ms	-1.706842474850474e-165	-1.5188710172418922e-180
14.0ms	-5.7093336439762436e-27	-1.235750600187763e-31
8.0ms	-4.260849081416492e-12	-1.071565196302158e-12

Results

50.0ms

528×

body

256

valid

Compiler

Compiled 447 to 343 computations (23.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	482

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -1) (.f64 (+.f64 y z) x) (if (<=.f64 x 7737125245533627/2417851639229258349412352) (-.f64 (.f64 y x) z) (+.f64 (.f64 x y) (.f64 z x))))
(if (<=.f64 x -1) (.f64 (+.f64 y z) x) (if (<=.f64 x 7737125245533627/2417851639229258349412352) (-.f64 (.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -5694524180712749/4951760157141521099596496896) (.f64 (+.f64 y z) x) (if (<=.f64 x -7849862309882779/1427247692705959881058285969449495136382746624) (.f64 (-.f64 x 1) z) (if (<=.f64 x -881772058387211/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (.f64 (+.f64 y z) x) (if (<=.f64 x 4352132950612665/9671406556917033397649408) (.f64 (-.f64 x 1) z) (*.f64 (+.f64 y z) x)))))
(if (<=.f64 x -5446936172855673/4951760157141521099596496896) (.f64 (+.f64 y z) x) (if (<=.f64 x -3902630409742859/696898287454081973172991196020261297061888) (neg.f64 z) (if (<=.f64 x -881772058387211/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (.f64 (+.f64 y z) x) (if (<=.f64 x 6114448780610613/664613997892457936451903530140172288) (neg.f64 z) (*.f64 (+.f64 y z) x)))))
(if (<=.f64 x -35000000000000000035768627845441377059942897466111292589102633030846563181335786978638316639512353528344261785902919762434344652472297305247756620664353374847953102364357179736064) (.f64 y x) (if (<=.f64 x -1) (.f64 z x) (if (<=.f64 x 3266710722441009/21778071482940061661655974875633165533184) (neg.f64 z) (if (<=.f64 x 350000000) (.f64 y x) (if (<=.f64 x 2250000000000000062307227298002679176888320) (.f64 z x) (*.f64 y x))))))
(if (<=.f64 x -5942112188569825/4951760157141521099596496896) (.f64 y x) (if (<=.f64 x -4683156491691431/44601490397061246283071436545296723011960832) (neg.f64 z) (if (<=.f64 x -881772058387211/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (.f64 y x) (if (<=.f64 x 552958846246525/21267647932558653966460912964485513216) (neg.f64 z) (*.f64 y x)))))
(neg.f64 z)

Outputs
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -1) (.f64 (+.f64 y z) x) (if (<=.f64 x 7737125245533627/2417851639229258349412352) (-.f64 (.f64 y x) z) (+.f64 (.f64 x y) (.f64 z x))))
(if (<=.f64 x -1) (.f64 (+.f64 y z) x) (if (<=.f64 x 7737125245533627/2417851639229258349412352) (-.f64 (.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -5694524180712749/4951760157141521099596496896) (.f64 (+.f64 y z) x) (if (<=.f64 x -7849862309882779/1427247692705959881058285969449495136382746624) (.f64 (-.f64 x 1) z) (if (<=.f64 x -881772058387211/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (.f64 (+.f64 y z) x) (if (<=.f64 x 4352132950612665/9671406556917033397649408) (.f64 (-.f64 x 1) z) (*.f64 (+.f64 y z) x)))))
(if (<=.f64 x -5446936172855673/4951760157141521099596496896) (.f64 (+.f64 y z) x) (if (<=.f64 x -3902630409742859/696898287454081973172991196020261297061888) (neg.f64 z) (if (<=.f64 x -881772058387211/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (.f64 (+.f64 y z) x) (if (<=.f64 x 6114448780610613/664613997892457936451903530140172288) (neg.f64 z) (*.f64 (+.f64 y z) x)))))
(if (<=.f64 x -35000000000000000035768627845441377059942897466111292589102633030846563181335786978638316639512353528344261785902919762434344652472297305247756620664353374847953102364357179736064) (.f64 y x) (if (<=.f64 x -1) (.f64 z x) (if (<=.f64 x 3266710722441009/21778071482940061661655974875633165533184) (neg.f64 z) (if (<=.f64 x 350000000) (.f64 y x) (if (<=.f64 x 2250000000000000062307227298002679176888320) (.f64 z x) (*.f64 y x))))))
(if (<=.f64 x -5942112188569825/4951760157141521099596496896) (.f64 y x) (if (<=.f64 x -4683156491691431/44601490397061246283071436545296723011960832) (neg.f64 z) (if (<=.f64 x -881772058387211/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (.f64 y x) (if (<=.f64 x 552958846246525/21267647932558653966460912964485513216) (neg.f64 z) (*.f64 y x)))))
(neg.f64 z)

Compiler

Compiled 223 to 118 computations (47.1% saved)

soundness973.0ms (9.2%)

Algorithm

2×	egg-herbie

Rules

2556×	`rational.json-simplify-35`
2452×	`rational.json-simplify-35`
2244×	`rational.json-simplify-2`
2110×	`rational.json-simplify-2`
1638×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1863
1	242	1595
2	564	1595
3	1588	1595
4	3185	1595
5	4034	1595
6	4421	1595
7	4765	1595
8	5030	1595
9	5213	1595
10	5412	1595
11	5931	1595
12	6187	1595
13	6785	1595
14	6949	1595
15	7109	1595
16	7239	1595
17	7590	1595
18	7770	1595
0	109	1968
1	252	1968
2	586	1968
3	1579	1668
4	3401	1668
5	4601	1668
6	5130	1668
7	5511	1668
8	5895	1668
9	6147	1668
10	6350	1668
11	6755	1668
12	6969	1668
13	7214	1668
14	7259	1668
15	7302	1668
16	7476	1668
17	7813	1668

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 460 to 231 computations (49.8% saved)

end65.0ms (0.6%)

Compiler: Compiled 202 to 82 computations (59.4% saved)

Details

analyze831.0ms (7.9%)

sample3.6s (34.6%)

preprocess70.0ms (0.7%)

simplify9.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series4.0ms (0%)

rewrite282.0ms (2.7%)

simplify589.0ms (5.6%)

eval12.0ms (0.1%)

prune12.0ms (0.1%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite154.0ms (1.5%)

simplify477.0ms (4.5%)

localize3.0ms (0%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite183.0ms (1.7%)

simplify568.0ms (5.4%)

localize7.0ms (0.1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite232.0ms (2.2%)

simplify344.0ms (3.3%)

eval20.0ms (0.2%)

prune21.0ms (0.2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite131.0ms (1.2%)

simplify215.0ms (2%)

localize3.0ms (0%)

localize3.0ms (0%)

localize5.0ms (0%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite172.0ms (1.6%)

simplify220.0ms (2.1%)

eval21.0ms (0.2%)

prune20.0ms (0.2%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite110.0ms (1%)

simplify437.0ms (4.1%)

eval8.0ms (0.1%)

prune10.0ms (0.1%)

regimes33.0ms (0.3%)

regimes58.0ms (0.6%)

bsearch26.0ms (0.2%)

regimes49.0ms (0.5%)

bsearch25.0ms (0.2%)

regimes49.0ms (0.5%)

bsearch50.0ms (0.5%)

regimes64.0ms (0.6%)

bsearch57.0ms (0.5%)

regimes41.0ms (0.4%)

bsearch78.0ms (0.7%)

regimes34.0ms (0.3%)

bsearch56.0ms (0.5%)

simplify8.0ms (0.1%)

soundness973.0ms (9.2%)

end65.0ms (0.6%)

Profiling