Details

analyze311.0ms (3.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
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)

sample1.3s (15.7%)

Results

1.0s	8256×	body	256	valid
283.0ms	1280×	body	256	infinite

Bogosity

preprocess11.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	13	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite95.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`rational.json-simplify-35`
1432×	`bool.json-1`
1432×	`bool.json-2`
1386×	`rational.json-1`
1386×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	106	38
2	296	38
3	590	38
4	1186	38
5	2626	38
6	5489	38

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 x) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 x) (.f64 z 1/2)) (.f64 (-.f64 1 x) (.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 1 x) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 x) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (.f64 (-.f64 1 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 1 x) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (-.f64 1 x) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 x) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 x) z) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 x) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (-.f64 1 x) z) (.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (-.f64 1 x) z) (*.f64 (-.f64 1 x) z))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 x (/.f64 y 2)) (.f64 (-.f64 1 x) (.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (-.f64 1 x) (.f64 z 1/2)) (.f64 x (/.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 x (+.f64 y y)) (.f64 (-.f64 1 x) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (-.f64 1 x) (+.f64 z z)) (.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)) (+.f64 (.f64 (-.f64 1 x) z) (.f64 x y)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (*.f64 z 1/2)) (*.f64 (-.f64 1 x) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 x) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (-.f64 1 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 x) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 x) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 1 x) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 1 x) z) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 1 x) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 1 x) z) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 1 x) z) (*.f64 (-.f64 1 x) z))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x (/.f64 y 2)) (*.f64 (-.f64 1 x) (*.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 1 x) (*.f64 z 1/2)) (*.f64 x (/.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x (+.f64 y y)) (*.f64 (-.f64 1 x) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 1 x) (+.f64 z z)) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)))))))

simplify679.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

3792×	`rational.json-simplify-35`
3288×	`rational.json-simplify-41`
1522×	`rational.json-simplify-2`
526×	`rational.json-simplify-1`
454×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	1881
1	197	1829
2	463	1829
3	1124	1829
4	2132	1829
5	2686	1829
6	3029	1829
7	3214	1829
8	3368	1829
9	3492	1829
10	3615	1829
11	3738	1829
12	4016	1829
13	4036	1829
14	4070	1829
15	4088	1829
16	4106	1829
17	4119	1829
18	4247	1829
19	4371	1829
20	7069	1829
21	7235	1829
22	7410	1829
23	7554	1829
24	7706	1829
25	7844	1829
26	7970	1829

Stop Event

1×	node limit

Counts

93 → 59

Calls

Call 1

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

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

eval12.0ms (0.1%)

Compiler: Compiled 704 to 402 computations (42.9% saved)

prune12.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	6	60

Error

0.0b

Counts

60 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
▶	29.4b	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
▶	10.1b	(+.f64 (*.f64 x y) z)
▶	0.0b	(+.f64 z (*.f64 x (+.f64 (neg.f64 z) y)))
▶	38.9b	(*.f64 y x)
▶	29.4b	(*.f64 x (+.f64 (neg.f64 z) y))

Compiler

Compiled 102 to 66 computations (35.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`bool.json-1`
1690×	`bool.json-2`
1636×	`rational.json-1`
1636×	`rational.json-2`
1084×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	102	40
2	274	40
3	580	40
4	1271	40
5	2960	40
6	6319	40

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 (neg.f64 z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (+.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 (+.f64 (neg.f64 z) y) 1/2)) (.f64 x (.f64 (+.f64 (neg.f64 z) y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 (neg.f64 z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 (neg.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (neg.f64 z) y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (+.f64 (neg.f64 z) y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (+.f64 (neg.f64 z) y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x (+.f64 (neg.f64 z) y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 x (+.f64 (neg.f64 z) y)) 8)) (.f64 2 (.f64 (.f64 x (+.f64 (neg.f64 z) y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 x (+.f64 (neg.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 x (+.f64 (neg.f64 z) y)) (.f64 x (+.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 x (+.f64 (neg.f64 z) y)) (*.f64 x (+.f64 (neg.f64 z) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 x (.f64 (+.f64 (neg.f64 z) y) 1/2)) (.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 z 1/2) (.f64 x (.f64 (+.f64 (neg.f64 z) y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (+.f64 (neg.f64 z) y) (+.f64 x x)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 z z) (.f64 (+.f64 (neg.f64 z) y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 8)) (.f64 2 (.f64 (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 z (.f64 x (+.f64 (neg.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))) (+.f64 z (.f64 x (+.f64 (neg.f64 z) y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (neg.f64 z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (+.f64 (neg.f64 z) y) 1/2)) (*.f64 x (*.f64 (+.f64 (neg.f64 z) y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 (neg.f64 z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (neg.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 z) y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 (neg.f64 z) y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 (neg.f64 z) y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 (neg.f64 z) y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 (neg.f64 z) y)) 8)) (*.f64 2 (*.f64 (*.f64 x (+.f64 (neg.f64 z) y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (+.f64 (neg.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (+.f64 (neg.f64 z) y)) (*.f64 x (+.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (+.f64 (neg.f64 z) y)) (*.f64 x (+.f64 (neg.f64 z) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x (*.f64 (+.f64 (neg.f64 z) y) 1/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 z 1/2) (*.f64 x (*.f64 (+.f64 (neg.f64 z) y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (neg.f64 z) y) (+.f64 x x)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 z z) (*.f64 (+.f64 (neg.f64 z) y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 8)) (*.f64 2 (*.f64 (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))) (+.f64 z (*.f64 x (+.f64 (neg.f64 z) y))))))))

simplify375.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

5108×	`rational.json-simplify-41`
2334×	`rational.json-simplify-35`
1342×	`rational.json-simplify-2`
698×	`rational.json-simplify-1`
428×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	2401
1	192	2255
2	448	1907
3	1036	1863
4	2034	1863
5	2642	1863
6	2951	1863
7	3258	1863
8	3431	1863
9	3571	1863
10	3697	1863
11	3818	1863
12	3938	1863
13	4018	1863
14	4028	1863
15	4050	1863
16	4067	1863
17	4075	1863
18	4198	1863
19	4319	1863

Stop Event

1×	node limit

Counts

103 → 61

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

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

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`bool.json-1`
1618×	`bool.json-2`
1586×	`rational.json-1`
1586×	`rational.json-2`
1586×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	70	13
2	196	13
3	417	13
4	861	13
5	1885	13
6	3899	13
7	6381	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x y) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x y) z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x (*.f64 y 1/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x y) z) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 z z) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x y) z) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x y) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x y) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x y) z) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x y) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x y) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) z) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 x y) z) (+.f64 (*.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 x y) z) (+.f64 (*.f64 x y) z))))))

simplify991.0ms (11.8%)

Algorithm

1×	egg-herbie

Rules

5902×	`rational.json-simplify-51`
1986×	`rational.json-simplify-35`
1694×	`rational.json-simplify-2`
1294×	`rational.json-simplify-1`
1142×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	650
1	112	650
2	282	650
3	692	650
4	1113	650
5	2521	650
6	3369	650
7	3427	650
8	3457	650
9	3483	650
10	3509	650
11	3535	650
12	3584	650
13	3610	650
14	3636	650
15	3662	650
16	3688	650
17	3714	650
18	3740	650
19	4579	650
20	4945	650
21	4977	650
22	5007	650
23	5036	650
24	5065	650
25	5094	650
26	5123	650
27	5152	650
28	5181	650
29	5210	650
30	5239	650
31	5268	650
32	5297	650
33	5326	650
34	5355	650
35	5384	650
36	5413	650
37	5442	650
38	5471	650
39	5500	650
40	5500	650

Stop Event

1×	node limit

Counts

56 → 24

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`bool.json-1`
1730×	`bool.json-2`
1676×	`rational.json-1`
1142×	`bool.json-3`
1014×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	102	23
2	276	19
3	596	17
4	1303	17
5	3032	17
6	6471	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y (neg.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y (neg.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (+.f64 y (neg.f64 z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 z (*.f64 x -1/2)) (*.f64 y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 y (*.f64 x 1/2)) (*.f64 z (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (+.f64 y (neg.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (*.f64 y 1/2) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (*.f64 y 1/2) (*.f64 (neg.f64 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (*.f64 y 1/2) (/.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 2 (+.f64 y (neg.f64 z)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 x (+.f64 y (neg.f64 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 y (neg.f64 z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 y (neg.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 2 (+.f64 y (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x (*.f64 z -2)) (*.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (*.f64 x y) 2) (*.f64 x (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (+.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 (*.f64 z -2) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 y (neg.f64 z))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y (neg.f64 z)) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 x (+.f64 y (neg.f64 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 y (neg.f64 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 y (neg.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (+.f64 y (neg.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 y (neg.f64 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 y (neg.f64 z))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 y (neg.f64 z))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 y (neg.f64 z))) 8)) (*.f64 2 (*.f64 (*.f64 x (+.f64 y (neg.f64 z))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (+.f64 y (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 x (+.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 x (+.f64 y (neg.f64 z))))))))

simplify1.0s (12.5%)

Algorithm

1×	egg-herbie

Rules

12250×	`rational.json-simplify-44`
3970×	`rational.json-simplify-35`
1658×	`rational.json-simplify-2`
1218×	`rational.json-simplify-1`
688×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1183
1	194	1161
2	424	1149
3	1327	1149
4	2454	1149
5	3548	1149
6	4181	1149
7	4328	1149
8	4429	1149
9	4521	1149
10	4613	1149
11	4869	1149
12	4971	1149
13	5083	1149
14	5189	1149
15	5286	1149
16	5381	1149
17	5381	1149
18	5381	1149
19	5476	1149
20	5571	1149
21	5666	1149
22	5761	1149
23	5856	1149
24	5951	1149
25	6046	1149
26	6141	1149
27	6236	1149
28	6331	1149
29	6426	1149
30	6521	1149
31	6616	1149
32	6711	1149
33	6806	1149
34	6806	1149

Stop Event

1×	node limit

Counts

67 → 41

Calls

Call 1

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

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

eval22.0ms (0.3%)

Compiler: Compiled 1435 to 595 computations (58.5% saved)

prune21.0ms (0.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	140	5	145
Fresh	0	0	0
Picked	0	1	1
Done	3	2	5
Total	143	8	151

Error

0.0b

Counts

151 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	29.4b	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
✓	10.1b	(+.f64 (*.f64 x y) z)
▶	29.4b	(*.f64 (-.f64 y z) x)
▶	23.4b	(*.f64 z (-.f64 1 x))
▶	52.6b	(*.f64 z (neg.f64 x))
✓	38.9b	(*.f64 y x)
	33.2b	z

Compiler

Compiled 62 to 41 computations (33.9% saved)

localize5.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite115.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`bool.json-1`
1212×	`bool.json-2`
1192×	`rational.json-simplify-35`
1166×	`rational.json-1`
1166×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	77	13
2	237	13
3	474	13
4	921	13
5	1980	13
6	4310	13
7	7507	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (-.f64 1 x) 1/2)) (*.f64 z (*.f64 (-.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 (+.f64 x -1) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 z (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (-.f64 1 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 z (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 z (-.f64 1 x)) (*.f64 z (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 z (-.f64 1 x)) (*.f64 z (-.f64 1 x)))))))

simplify1.2s (13.8%)

Algorithm

1×	egg-herbie

Rules

5700×	`rational.json-simplify-35`
2296×	`rational.json-simplify-2`
1090×	`rational.json-simplify-53`
710×	`rational.json-simplify-1`
676×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	341
1	101	319
2	213	319
3	454	319
4	1719	319
5	3283	319
6	4225	319
7	4625	319
8	4822	319
9	5024	319
10	5037	319
11	5408	319
12	5412	319
13	5482	319
14	5558	319
15	5764	319
16	5991	319
17	6191	319
18	6381	319
19	6571	319
20	6761	319
21	6951	319
22	6951	319
23	7007	319
24	7010	319
25	7014	319
26	7014	319
27	7205	319
28	7396	319
29	7587	319
30	7778	319
31	7969	319

Stop Event

1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`bool.json-1`
1338×	`bool.json-2`
1296×	`rational.json-1`
1296×	`rational.json-2`
1296×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	69	13
2	197	13
3	429	13
4	883	13
5	1950	13
6	4470	13

Stop Event

1×	node limit

Counts

1 → 11

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 (-.f64 y z) 8) x) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 y z) 8) x)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 y z) 8) x))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 y z) 8) x))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 y z) 8) x)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 y z) x) (*.f64 (-.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 y z) x) (*.f64 (-.f64 y z) x))))))

simplify457.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

4338×	`rational.json-simplify-2`
2342×	`rational.json-simplify-53`
2304×	`rational.json-simplify-35`
1122×	`rational.json-simplify-51`
1060×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	653
1	99	611
2	199	503
3	441	503
4	1387	503
5	3375	503
6	3988	503
7	4130	503
8	4235	503
9	4337	503
10	4439	503
11	5651	503
12	5764	503
13	5868	503
14	5971	503
15	5971	503
16	6074	503
17	6987	503
18	7817	503

Stop Event

1×	node limit

Counts

35 → 20

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1440×	`rational.json-simplify-35`
1334×	`bool.json-1`
1334×	`bool.json-2`
1292×	`rational.json-1`
1292×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	79	19
2	217	19
3	470	19
4	991	19
5	2229	19
6	4826	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 z (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 y z) (*.f64 x 1/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 z 1/2) (*.f64 (-.f64 y z) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 y z) (+.f64 x x)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 z z) (*.f64 (-.f64 y z) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 (-.f64 y z) x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 z (*.f64 (-.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 z (*.f64 (-.f64 y z) x)) (+.f64 z (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 z (*.f64 (-.f64 y z) x)) (+.f64 z (*.f64 (-.f64 y z) x)))))))

simplify864.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

5946×	`rational.json-simplify-51`
2248×	`rational.json-simplify-35`
1750×	`rational.json-simplify-2`
1316×	`rational.json-simplify-1`
1130×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1081
1	150	1039
2	335	985
3	756	941
4	1189	941
5	2618	941
6	3486	941
7	3563	941
8	3608	941
9	3648	941
10	3688	941
11	3728	941
12	3794	941
13	3834	941
14	3874	941
15	3914	941
16	3954	941
17	3994	941
18	4034	941
19	4873	941
20	5264	941
21	5313	941
22	5360	941
23	5406	941
24	5452	941
25	5498	941
26	5544	941
27	5590	941
28	5636	941
29	5682	941
30	5728	941
31	5774	941
32	5774	941
33	5820	941
34	5866	941
35	5912	941

Stop Event

1×	node limit

Counts

49 → 47

Calls

Call 1

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

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

eval16.0ms (0.2%)

Compiler: Compiled 1012 to 461 computations (54.4% saved)

prune15.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	109	8	117

Error

0.0b

Counts

117 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	29.4b	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
✓	10.1b	(+.f64 (*.f64 x y) z)
✓	29.4b	(*.f64 (-.f64 y z) x)
✓	23.4b	(*.f64 z (-.f64 1 x))
✓	52.6b	(*.f64 z (neg.f64 x))
✓	38.9b	(*.f64 y x)
	33.2b	z

Compiler

Compiled 62 to 41 computations (33.9% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

0.0b

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	29.4b	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
✓	10.1b	(+.f64 (*.f64 x y) z)
✓	29.4b	(*.f64 (-.f64 y z) x)
✓	23.4b	(*.f64 z (-.f64 1 x))
✓	52.6b	(*.f64 z (neg.f64 x))
✓	38.9b	(*.f64 y x)
	33.2b	z

Compiler

Compiled 62 to 41 computations (33.9% saved)

regimes28.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
7.0ms	y
6.0ms	x
6.0ms	z

Results

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

Compiler

Compiled 88 to 40 computations (54.5% saved)

regimes19.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
6.0ms	x
6.0ms	z

Results

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

Compiler

Compiled 67 to 28 computations (58.2% saved)

regimes45.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	z
14.0ms	x
13.0ms	y

Results

Error	Segments	Branch
0.9b	3	`x`
4.5b	3	`y`
6.7b	3	`z`

Compiler

Compiled 44 to 25 computations (43.2% saved)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.0001811043898030428	1.6029209110674583
12.0ms	-9484.193566313279	-363.13681862622144

Results

23.0ms

240×

body

256

valid

Compiler

Compiled 288 to 193 computations (33% saved)

regimes43.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
15.0ms	y
12.0ms	x

Results

Error	Segments	Branch
11.2b	3	`x`
14.3b	3	`y`
12.7b	3	`z`

Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	42259589.1703386	223138526262.75433
11.0ms	-1.7589876483236396e-41	-1.562504850185607e-42

Results

22.0ms	224×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes41.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	z
13.0ms	y
13.0ms	x

Results

Error	Segments	Branch
19.7b	4	`x`
15.1b	3	`y`
14.2b	3	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	4.1040655549638487e-172	3.2855037116788097e-170
11.0ms	-6.246783479415166e-81	-1.457442455814532e-81

Results

20.0ms

208×

body

256

valid

Compiler

Compiled 226 to 169 computations (25.2% saved)

regimes34.0ms (0.4%)

Accuracy

Total -41.8b remaining (-203.2%)

Threshold costs -41.8b (-203.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	z
12.0ms	y
9.0ms	x

Results

Error	Segments	Branch
20.5b	3	`x`
24.1b	3	`y`
22.5b	3	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.7945274796161475e-25	1.9572672763730408e-20
10.0ms	-1.7589876483236396e-41	-1.562504850185607e-42

Results

23.0ms

240×

body

256

valid

Compiler

Compiled 198 to 148 computations (25.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	243

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(+.f64 (*.f64 (-.f64 y z) x) z)
(if (<=.f64 x -370) (.f64 (-.f64 y z) x) (if (<=.f64 x 1) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -1667355148462087/98079714615416886934934209737619787751599303819750539264) (.f64 (-.f64 y z) x) (if (<=.f64 x 43000000) (.f64 z (-.f64 1 x)) (*.f64 (-.f64 y z) x)))
(if (<=.f64 z -7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 z (-.f64 1 x)) (if (<=.f64 z 7614394265021173/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (.f64 y x) (*.f64 z (-.f64 1 x))))
(if (<=.f64 x -5884782876925013/392318858461667547739736838950479151006397215279002157056) (.f64 y x) (if (<=.f64 x 15057660889751/10384593717069655257060992658440192) z (.f64 y x)))
z

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(+.f64 (*.f64 (-.f64 y z) x) z)
(if (<=.f64 x -370) (.f64 (-.f64 y z) x) (if (<=.f64 x 1) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -1667355148462087/98079714615416886934934209737619787751599303819750539264) (.f64 (-.f64 y z) x) (if (<=.f64 x 43000000) (.f64 z (-.f64 1 x)) (*.f64 (-.f64 y z) x)))
(if (<=.f64 z -7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 z (-.f64 1 x)) (if (<=.f64 z 7614394265021173/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (.f64 y x) (*.f64 z (-.f64 1 x))))
(if (<=.f64 x -5884782876925013/392318858461667547739736838950479151006397215279002157056) (.f64 y x) (if (<=.f64 x 15057660889751/10384593717069655257060992658440192) z (.f64 y x)))
z

Compiler

Compiled 120 to 70 computations (41.7% saved)

soundness0.0ms (0%)

end45.0ms (0.5%)

Compiler: Compiled 102 to 46 computations (54.9% saved)

Details

analyze311.0ms (3.7%)

sample1.3s (15.7%)

preprocess11.0ms (0.1%)

simplify7.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series4.0ms (0.1%)

rewrite95.0ms (1.1%)

simplify679.0ms (8.1%)

eval12.0ms (0.1%)

prune12.0ms (0.1%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite93.0ms (1.1%)

simplify375.0ms (4.5%)

localize3.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite93.0ms (1.1%)

simplify991.0ms (11.8%)

localize9.0ms (0.1%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite89.0ms (1.1%)

simplify1.0s (12.5%)

eval22.0ms (0.3%)

prune21.0ms (0.3%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite115.0ms (1.4%)

simplify1.2s (13.8%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite79.0ms (0.9%)

simplify457.0ms (5.4%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite79.0ms (0.9%)

simplify864.0ms (10.3%)

eval16.0ms (0.2%)

prune15.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes28.0ms (0.3%)

regimes19.0ms (0.2%)

regimes45.0ms (0.5%)

bsearch26.0ms (0.3%)

regimes43.0ms (0.5%)

bsearch25.0ms (0.3%)

regimes41.0ms (0.5%)

bsearch23.0ms (0.3%)

regimes34.0ms (0.4%)

bsearch25.0ms (0.3%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end45.0ms (0.5%)

Profiling