Details

analyze558.0ms (5.1%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	99.9%	0.1%	0%	0%	0%	8
0%	0%	99.9%	0.1%	0%	0%	0%	9
22%	21.1%	74.5%	0.1%	4.3%	0%	0%	10
26.6%	25.4%	69.8%	0.1%	4.7%	0%	0%	11
32.3%	30.6%	64.2%	0.1%	5.1%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample5.2s (47.5%)

Results

3.0s	8256×	body	256	valid
2.3s	1677×	body	256	infinite

Bogosity

preprocess143.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

4156×	`rational.json-simplify-51`
4150×	`rational.json-simplify-41`
1616×	`rational.json-simplify-35`
1310×	`rational.json-simplify-2`
928×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	124
1	59	124
2	99	124
3	160	124
4	271	124
5	504	124
6	1125	124
7	1695	124
8	1952	124
9	2033	124
10	2114	124
11	2183	124
12	2252	124
13	2321	124
14	2390	124
15	2459	124
16	2528	124
17	2597	124
18	2666	124
19	2735	124
20	2804	124
21	2873	124
22	5754	124
23	6613	124
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 (.f64 4 (-.f64 (-.f64 y x) (.f64 z 1/2))) z)
(/.f64 (.f64 4 (-.f64 (-.f64 z y) (.f64 x 1/2))) x)
(/.f64 (.f64 4 (-.f64 (-.f64 x z) (.f64 y 1/2))) y)

Outputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))
(.f64 4 (/.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) z))
(/.f64 (.f64 4 (-.f64 (-.f64 y x) (.f64 z 1/2))) z)
(.f64 (-.f64 (-.f64 y x) (.f64 z 1/2)) (/.f64 4 z))
(.f64 4 (/.f64 (-.f64 (-.f64 y x) (.f64 z 1/2)) z))
(/.f64 (.f64 4 (-.f64 (-.f64 z y) (.f64 x 1/2))) x)
(.f64 (-.f64 (-.f64 z y) (.f64 x 1/2)) (/.f64 4 x))
(.f64 4 (/.f64 (-.f64 (-.f64 z y) (.f64 x 1/2)) x))
(.f64 (-.f64 (-.f64 z (.f64 x 1/2)) y) (/.f64 4 x))
(/.f64 (.f64 4 (-.f64 (-.f64 x z) (.f64 y 1/2))) y)
(.f64 (-.f64 (-.f64 x z) (.f64 y 1/2)) (/.f64 4 y))
(.f64 4 (/.f64 (-.f64 (-.f64 x z) (.f64 y 1/2)) y))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify332.0ms (3%)

Algorithm

1×	egg-herbie

Rules

6728×	`rational.json-simplify-41`
3124×	`rational.json-simplify-35`
1356×	`rational.json-simplify-1`
1222×	`rational.json-simplify-2`
1118×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	21	31
2	33	31
3	51	31
4	84	31
5	152	31
6	325	31
7	776	31
8	1185	31
9	2163	31
10	2636	31
11	2744	31
12	2848	31
13	2952	31
14	3056	31
15	3489	31
16	3672	31
17	3774	31
18	3876	31
19	3978	31
20	4080	31
21	4182	31
22	4284	31
23	4386	31
24	4488	31
25	4590	31
26	4692	31
27	4794	31
28	4794	31
29	4896	31
30	4998	31
31	5100	31
32	5202	31
33	5304	31
34	5406	31
35	5508	31
36	5610	31
37	5712	31

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Outputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))
(.f64 4 (/.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) z))

eval1.0ms (0%)

Compiler: Compiled 36 to 22 computations (38.9% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
▶	0.2b	(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))
1.0ms	x	@	0	(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))
1.0ms	x	@	inf	(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))
1.0ms	x	@	-inf	(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))
1.0ms	z	@	inf	(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))

rewrite146.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`bool.json-1`
1494×	`bool.json-2`
1440×	`rational.json-1`
1440×	`rational.json-2`
1440×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	121	31
2	335	31
3	771	31
4	1673	31
5	4472	31

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))

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

Outputs

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

simplify205.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1220×	`rational.json-simplify-53`
1174×	`rational.json-simplify-1`
1108×	`rational.json-simplify-2`
894×	`rational.json-simplify-50`
836×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	2432
1	389	2432
2	1072	2432
3	3973	2432
4	6325	2432

Stop Event

1×	node limit

Counts

80 → 60

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Compiler

Compiled 41 to 22 computations (46.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
0.0ms	y	@	0	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
0.0ms	x	@	inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
0.0ms	y	@	inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
0.0ms	x	@	-inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`bool.json-1`
1710×	`bool.json-2`
1654×	`rational.json-1`
1654×	`rational.json-2`
1280×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	122	31
2	360	31
3	915	31
4	2375	31
5	5727	31

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

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

Outputs

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

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational.json-simplify-47`
1202×	`rational.json-simplify-2`
1190×	`rational.json-simplify-35`
1158×	`rational.json-simplify-44`
880×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	2548
1	235	2548
2	399	2548
3	614	2548
4	1299	2518
5	2398	2518
6	4136	2518

Stop Event

1×	node limit

Counts

82 → 69

Calls

Call 1

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

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

eval103.0ms (0.9%)

Compiler: Compiled 1716 to 1104 computations (35.7% saved)

prune458.0ms (4.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	126	5	131

Error

0.0b

Counts

131 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
▶	27.1b	(*.f64 4 (/.f64 (-.f64 x y) z))
▶	43.8b	(*.f64 4 (/.f64 x z))
▶	45.7b	(*.f64 -4 (/.f64 y z))
	36.1b	-2

Compiler

Compiled 42 to 32 computations (23.8% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -4 (/.f64 y z))

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(*.f64 -4 (/.f64 y z))
1.0ms	y	@	inf	(*.f64 -4 (/.f64 y z))
0.0ms	y	@	0	(*.f64 -4 (/.f64 y z))
0.0ms	z	@	0	(*.f64 -4 (/.f64 y z))
0.0ms	y	@	-inf	(*.f64 -4 (/.f64 y z))

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`bool.json-1`
1738×	`bool.json-2`
1696×	`rational.json-1`
1696×	`rational.json-2`
1472×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	72	13
2	223	13
3	538	13
4	1379	13
5	4779	13

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 y z))

Outputs

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

simplify356.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4006×	`rational.json-simplify-35`
2808×	`rational.json-simplify-43`
2194×	`rational.json-simplify-51`
992×	`rational.json-simplify-2`
660×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	59	104
2	123	104
3	301	104
4	766	104
5	2556	104
6	3201	104
7	3491	104
8	3793	104
9	4133	104
10	4461	104
11	4484	104
12	4492	104
13	4492	104
14	4933	104
15	5409	104
16	5891	104
17	5926	104
18	5934	104

Stop Event

1×	node limit

Counts

8 → 9

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 4 (/.f64 x z))
0.0ms	z	@	0	(*.f64 4 (/.f64 x z))
0.0ms	z	@	inf	(*.f64 4 (/.f64 x z))
0.0ms	x	@	inf	(*.f64 4 (/.f64 x z))
0.0ms	x	@	-inf	(*.f64 4 (/.f64 x z))

rewrite152.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`bool.json-1`
1718×	`bool.json-2`
1676×	`rational.json-1`
1676×	`rational.json-2`
1460×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	72	13
2	223	13
3	537	13
4	1367	13
5	4691	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 4 (/.f64 x z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 z 1/2)) (/.f64 x (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) 3) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 4 (/.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 z (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 z 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 16) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (+.f64 z z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x z) 16)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 z (/.f64 1/2 x)) (*.f64 z (/.f64 1/2 x))) (*.f64 (*.f64 z (/.f64 1/2 x)) (*.f64 z (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 x z) 16)) (*.f64 2 (*.f64 (/.f64 x z) 16))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 x) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 4 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 4 (/.f64 x z)) (*.f64 4 (/.f64 x z)))))))

simplify243.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1426×	`rational.json-simplify-2`
1118×	`rational.json-simplify-35`
1080×	`rational.json-simplify-41`
1078×	`rational.json-simplify-53`
1038×	`rational.json-simplify-46`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	600
1	183	600
2	457	600
3	1427	600
4	4089	312

Stop Event

1×	node limit

Counts

24 → 25

Calls

Call 1

Inputs
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(+.f64 0 (*.f64 4 (/.f64 x z)))
(+.f64 (/.f64 x (.f64 z 1/2)) (/.f64 x (.f64 z 1/2)))
(+.f64 (*.f64 (/.f64 x z) 3) (/.f64 x z))
(-.f64 (*.f64 4 (/.f64 x z)) 0)
(/.f64 4 (/.f64 z x))
(/.f64 (/.f64 x z) 1/4)
(/.f64 (*.f64 4 (/.f64 x z)) 1)
(/.f64 1 (/.f64 z (*.f64 4 x)))
(/.f64 (+.f64 x x) (*.f64 z 1/2))
(/.f64 2 (*.f64 z (/.f64 1/2 x)))
(/.f64 (/.f64 x (*.f64 z 1/2)) 1/2)
(/.f64 (*.f64 4 x) z)
(/.f64 (*.f64 (/.f64 x z) 8) 2)
(/.f64 (*.f64 (/.f64 x z) 16) 4)
(/.f64 (*.f64 x 8) (+.f64 z z))
(/.f64 8 (/.f64 (+.f64 z z) x))
(/.f64 (.f64 2 (.f64 (/.f64 x z) 16)) 8)
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))
(/.f64 (+.f64 (.f64 z (/.f64 1/2 x)) (.f64 z (/.f64 1/2 x))) (.f64 (.f64 z (/.f64 1/2 x)) (*.f64 z (/.f64 1/2 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x z) 16)) (.f64 2 (.f64 (/.f64 x z) 16))) 16)
(/.f64 (/.f64 (*.f64 x 8) z) 2)
(/.f64 (/.f64 (*.f64 4 x) 1/2) (+.f64 z z))

Outputs
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(+.f64 0 (*.f64 4 (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(+.f64 (/.f64 x (.f64 z 1/2)) (/.f64 x (.f64 z 1/2)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(+.f64 (*.f64 (/.f64 x z) 3) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(-.f64 (*.f64 4 (/.f64 x z)) 0)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 4 (/.f64 z x))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (/.f64 x z) 1/4)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (*.f64 4 (/.f64 x z)) 1)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 1 (/.f64 z (*.f64 4 x)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (+.f64 x x) (*.f64 z 1/2))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 2 (*.f64 z (/.f64 1/2 x)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (/.f64 x (*.f64 z 1/2)) 1/2)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (*.f64 4 x) z)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (*.f64 (/.f64 x z) 8) 2)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (*.f64 (/.f64 x z) 16) 4)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (*.f64 x 8) (+.f64 z z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 8 (/.f64 (+.f64 z z) x))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (.f64 2 (.f64 (/.f64 x z) 16)) 8)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (+.f64 (.f64 z (/.f64 1/2 x)) (.f64 z (/.f64 1/2 x))) (.f64 (.f64 z (/.f64 1/2 x)) (*.f64 z (/.f64 1/2 x))))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x z) 16)) (.f64 2 (.f64 (/.f64 x z) 16))) 16)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (/.f64 (*.f64 x 8) z) 2)
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))
(/.f64 (/.f64 (*.f64 4 x) 1/2) (+.f64 z z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) 3))
(*.f64 x (/.f64 4 z))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) z)
✓	0.0b	(*.f64 4 (/.f64 (-.f64 x y) z))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 4 (/.f64 (-.f64 x y) z))
0.0ms	z	@	inf	(*.f64 4 (/.f64 (-.f64 x y) z))
0.0ms	z	@	0	(*.f64 4 (/.f64 (-.f64 x y) z))
0.0ms	x	@	-inf	(*.f64 4 (/.f64 (-.f64 x y) z))
0.0ms	y	@	0	(*.f64 4 (/.f64 (-.f64 x y) z))

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`bool.json-1`
1870×	`bool.json-2`
1828×	`rational.json-1`
1572×	`bool.json-3`
572×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	90	32
2	263	32
3	627	32
4	1540	32
5	5044	32

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 x y) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (*.f64 (/.f64 (-.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 y x) -4) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (-.f64 y x) -4) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 2 z)) (*.f64 (-.f64 x y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x y) z) 3) (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 y x) -4) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) z) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 y x) -4) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (-.f64 y x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) 2) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 z (/.f64 1/2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (/.f64 2 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) -4) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 x y) z) 16) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) 8) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 z (*.f64 (-.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 x y) z) 16)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 z (/.f64 1/2 (-.f64 x y))) (*.f64 z (/.f64 1/2 (-.f64 x y)))) (*.f64 (*.f64 z (/.f64 1/2 (-.f64 x y))) (*.f64 z (/.f64 1/2 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 x y) z) 16)) (*.f64 2 (*.f64 (/.f64 (-.f64 x y) z) 16))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x y) 8) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 y x) -4) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (*.f64 (-.f64 y x) -4) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (*.f64 (-.f64 y x) -4) z) (/.f64 (*.f64 (-.f64 y x) -4) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (*.f64 (-.f64 y x) -4) z) (/.f64 (*.f64 (-.f64 y x) -4) z))))))

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

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational.json-simplify-61`
1152×	`rational.json-simplify-44`
1136×	`rational.json-simplify-35`
1042×	`rational.json-simplify-51`
1034×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	3424
1	493	2926
2	1294	2740
3	5772	2740

Stop Event

1×	node limit

Counts

132 → 126

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (/.f64 (-.f64 x y) z) (*.f64 (/.f64 (-.f64 x y) z) 3))
(+.f64 (/.f64 (*.f64 (-.f64 y x) -4) z) 0)
(+.f64 0 (/.f64 (*.f64 (-.f64 y x) -4) z))
(+.f64 (.f64 (-.f64 x y) (/.f64 2 z)) (.f64 (-.f64 x y) (/.f64 2 z)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) z) 3) (/.f64 (-.f64 x y) z))
(-.f64 (/.f64 (*.f64 (-.f64 y x) -4) z) 0)
(/.f64 4 (/.f64 z (-.f64 x y)))
(/.f64 (/.f64 (-.f64 x y) z) 1/4)
(/.f64 (/.f64 (*.f64 (-.f64 y x) -4) z) 1)
(/.f64 1 (/.f64 z (*.f64 (-.f64 y x) -4)))
(/.f64 (.f64 (-.f64 x y) 2) (.f64 z 1/2))
(/.f64 2 (*.f64 z (/.f64 1/2 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 x y) (/.f64 2 z)) 1/2)
(/.f64 (*.f64 (-.f64 y x) -4) z)
(/.f64 (*.f64 (/.f64 (-.f64 x y) z) 8) 2)
(/.f64 (*.f64 (/.f64 (-.f64 x y) z) 16) 4)
(/.f64 (*.f64 (-.f64 x y) 8) (+.f64 z z))
(/.f64 8 (/.f64 z (*.f64 (-.f64 x y) 1/2)))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 x y) z) 16)) 8)
(/.f64 (*.f64 4 (-.f64 y x)) (neg.f64 z))
(/.f64 (+.f64 (.f64 z (/.f64 1/2 (-.f64 x y))) (.f64 z (/.f64 1/2 (-.f64 x y)))) (.f64 (.f64 z (/.f64 1/2 (-.f64 x y))) (*.f64 z (/.f64 1/2 (-.f64 x y)))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 x y) z) 16)) (.f64 2 (.f64 (/.f64 (-.f64 x y) z) 16))) 16)
(/.f64 (/.f64 (*.f64 (-.f64 x y) 8) z) 2)
(/.f64 (/.f64 (*.f64 (-.f64 y x) -4) 1/2) (+.f64 z z))
(+.f64 (/.f64 (-.f64 x y) z) 0)
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(-.f64 (/.f64 (-.f64 x y) z) 0)
(.f64 4 (/.f64 (-.f64 x y) (.f64 4 z)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x y) z) 4))
(.f64 4 (/.f64 (.f64 (-.f64 x y) (/.f64 2 z)) 8))
(*.f64 (-.f64 x y) (/.f64 1 z))
(.f64 (-.f64 x y) (.f64 (*.f64 2 (/.f64 1 z)) 1/2))
(.f64 (-.f64 x y) (.f64 (/.f64 2 z) 1/2))
(.f64 (-.f64 x y) (/.f64 (.f64 4 (/.f64 1 z)) 4))
(.f64 z (/.f64 (/.f64 1 (-.f64 x y)) (.f64 z (/.f64 (/.f64 z (-.f64 x y)) (-.f64 x y)))))
(*.f64 (/.f64 (-.f64 x y) z) 1)
(.f64 (/.f64 (.f64 (-.f64 y x) -4) z) 1/4)
(*.f64 1 (/.f64 (-.f64 x y) z))
(.f64 (.f64 (-.f64 x y) 2) (/.f64 1/2 z))
(.f64 2 (.f64 (-.f64 x y) (/.f64 1/2 z)))
(.f64 (.f64 (-.f64 x y) (/.f64 2 z)) 1/2)
(.f64 (.f64 (-.f64 y x) -4) (/.f64 2 (*.f64 z 8)))
(.f64 (.f64 (-.f64 y x) -4) (.f64 (/.f64 2 (.f64 z 8)) 1))
(.f64 (.f64 (-.f64 y x) -4) (*.f64 1/4 (/.f64 1 z)))
(.f64 (.f64 (-.f64 y x) -4) (*.f64 1/2 (/.f64 1/2 z)))
(.f64 (.f64 (/.f64 (-.f64 x y) z) 8) 1/8)
(*.f64 (/.f64 1 z) (-.f64 x y))
(*.f64 (/.f64 1 z) (/.f64 1 (/.f64 1 (-.f64 x y))))
(*.f64 (-.f64 y x) (/.f64 -1 z))
(.f64 (-.f64 y x) (.f64 (/.f64 -1 z) 1))
(.f64 (-.f64 y x) (.f64 -1 (/.f64 1 z)))
(.f64 (/.f64 z (-.f64 x y)) (/.f64 1 (.f64 z (/.f64 (/.f64 z (-.f64 x y)) (-.f64 x y)))))
(.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (*.f64 (-.f64 x y) 1/2)))))
(*.f64 -1 (/.f64 (-.f64 y x) z))
(.f64 -1 (.f64 (/.f64 (-.f64 y x) z) 1))
(.f64 -1 (/.f64 (.f64 (-.f64 x y) 2) (neg.f64 (+.f64 z z))))
(.f64 (/.f64 z (.f64 (-.f64 x y) 1/2)) (/.f64 1 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2)))))
(.f64 (/.f64 z (.f64 (-.f64 x y) 1/2)) (/.f64 1/2 (*.f64 z (/.f64 (/.f64 z (-.f64 x y)) (-.f64 x y)))))
(.f64 (.f64 (-.f64 x y) 8) (/.f64 1 (*.f64 z 8)))
(.f64 (.f64 4 (/.f64 1 z)) (/.f64 (-.f64 x y) 4))
(.f64 1/2 (.f64 (-.f64 x y) (/.f64 2 z)))
(.f64 (/.f64 1/2 z) (.f64 (-.f64 x y) 2))
(.f64 (/.f64 1 (-.f64 x y)) (/.f64 z (.f64 z (/.f64 (/.f64 z (-.f64 x y)) (-.f64 x y)))))
(.f64 (/.f64 1 (-.f64 x y)) (/.f64 (+.f64 z z) (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (*.f64 (-.f64 x y) 1/2)))))
(.f64 (.f64 2 (-.f64 y x)) (/.f64 1/2 (neg.f64 z)))
(.f64 (.f64 2 (-.f64 y x)) (/.f64 1 (*.f64 z -2)))
(.f64 (.f64 2 (-.f64 y x)) (/.f64 1 (neg.f64 (+.f64 z z))))
(*.f64 8 (/.f64 (/.f64 (-.f64 x y) z) 8))
(.f64 (.f64 2 (/.f64 1 z)) (*.f64 (-.f64 x y) 1/2))
(.f64 (.f64 2 (*.f64 4 (/.f64 1 z))) (/.f64 (-.f64 x y) 8))
(.f64 (.f64 4 (/.f64 1/2 z)) (*.f64 (-.f64 x y) 1/2))
(*.f64 (/.f64 (-.f64 y x) z) -1)
(.f64 (/.f64 1/2 (-.f64 x y)) (/.f64 (+.f64 z z) (.f64 z (/.f64 (/.f64 z (-.f64 x y)) (-.f64 x y)))))
(.f64 (.f64 (-.f64 x y) (/.f64 1/2 z)) 2)
(.f64 (/.f64 2 z) (.f64 (-.f64 x y) 1/2))
(.f64 (.f64 z (/.f64 1/2 (-.f64 x y))) (/.f64 2 (*.f64 z (/.f64 (/.f64 z (-.f64 x y)) (-.f64 x y)))))
(.f64 (/.f64 2 (-.f64 x y)) (/.f64 z (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (*.f64 (-.f64 x y) 1/2)))))
(.f64 (/.f64 2 (.f64 z 8)) (*.f64 (-.f64 y x) -4))
(*.f64 (/.f64 -1 z) (-.f64 y x))
(.f64 (.f64 (-.f64 x y) 1/2) (/.f64 2 z))
(.f64 1/4 (/.f64 (.f64 (-.f64 y x) -4) z))
(.f64 (/.f64 1 (-.f64 y x)) (/.f64 (neg.f64 z) (.f64 z (/.f64 (/.f64 z (-.f64 x y)) (-.f64 x y)))))
(*.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (-.f64 x y))
(neg.f64 (/.f64 (-.f64 y x) z))

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 x y) z)
	0.0b	(*.f64 4 (/.f64 (-.f64 x y) z))

Compiler

Compiled 32 to 13 computations (59.4% saved)

eval100.0ms (0.9%)

Compiler: Compiled 3903 to 2018 computations (48.3% saved)

prune101.0ms (0.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	282	4	286
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	282	9	291

Error

Counts

291 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
▶	17.2b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
▶	19.3b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
▶	43.9b	(*.f64 x (/.f64 4 z))
✓	27.1b	(*.f64 4 (/.f64 (-.f64 x y) z))
✓	43.8b	(*.f64 4 (/.f64 x z))
▶	45.1b	(.f64 4 (.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))))
✓	45.7b	(*.f64 -4 (/.f64 y z))
	36.1b	-2

Compiler

Compiled 96 to 68 computations (29.2% saved)

localize72.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))))
✓	0.3b	(.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2)))
✓	0.6b	(/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))
✓	27.7b	(.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (*.f64 (-.f64 x y) 1/2)))))

Compiler

Compiled 101 to 39 computations (61.4% saved)

series249.0ms (2.3%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
240.0ms	x	@	0	(/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))
1.0ms	z	@	0	(/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))
1.0ms	x	@	inf	(.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2)))
1.0ms	z	@	0	(.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2)))
1.0ms	x	@	-inf	(.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2)))

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2016×	`bool.json-1`
2016×	`bool.json-2`
1648×	`bool.json-3`
924×	`rational.json-simplify-35`
778×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	208
1	170	208
2	545	172
3	1744	100
4	6174	100

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (*.f64 (-.f64 x y) 1/2)))))
(/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))
(.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2)))
(.f64 4 (.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (/.f64 1/2 z)) (.f64 (-.f64 x y) (/.f64 1/2 z)))))) (#(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) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (-.f64 x y)) (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (-.f64 x y)) (/.f64 (.f64 (/.f64 z (-.f64 x y)) (.f64 2 (.f64 z -1/2))) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (-.f64 x y)) (/.f64 (/.f64 (.f64 z 4) (/.f64 (-.f64 x y) z)) (.f64 (-.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (-.f64 x y)) (/.f64 (/.f64 (.f64 z -2) (/.f64 (-.f64 x y) z)) (.f64 2 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 z (/.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (-.f64 0 (neg.f64 (.f64 z (/.f64 2 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (.f64 z -1/2) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x y) 1/2) (.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (/.f64 2 (-.f64 x y))) (.f64 z (.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 x y) z) (/.f64 (-.f64 x y) z)) (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 (/.f64 z (-.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 2 (/.f64 (.f64 z -1/2) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x y) 2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (.f64 z -1/2)) 2)))) 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simplify153.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1336×	`rational.json-simplify-35`
1126×	`rational.json-simplify-50`
976×	`rational.json-simplify-61`
936×	`rational.json-simplify-44`
860×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	10807
1	1456	10511
2	6135	10367

Stop Event

1×	node limit

Counts

289 → 262

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (/.f64 4 z))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x (/.f64 4 z))
0.0ms	x	@	inf	(*.f64 x (/.f64 4 z))
0.0ms	x	@	-inf	(*.f64 x (/.f64 4 z))
0.0ms	z	@	-inf	(*.f64 x (/.f64 4 z))
0.0ms	z	@	inf	(*.f64 x (/.f64 4 z))

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2120×	`bool.json-1`
1226×	`rational.json-simplify-35`
996×	`bool.json-2`
946×	`rational.json-1`
946×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	73	13
2	223	13
3	517	13
4	1154	13
5	3035	13
6	7655	13

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(*.f64 x (/.f64 4 z))

Outputs

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

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1372×	`rational.json-simplify-2`
1026×	`rational.json-simplify-1`
950×	`rational.json-simplify-44`
930×	`rational.json-simplify-35`
880×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	949
1	405	949
2	1058	949
3	4517	949
4	7152	949

Stop Event

1×	node limit

Counts

73 → 51

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -4 (/.f64 y z))

Compiler

Compiled 22 to 12 computations (45.5% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 22 to 12 computations (45.5% saved)

eval118.0ms (1.1%)

Compiler: Compiled 8090 to 4542 computations (43.9% saved)

prune67.0ms (0.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	347	0	347
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	347	9	356

Error

Counts

356 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
✓	17.2b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	19.3b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
✓	43.9b	(*.f64 x (/.f64 4 z))
✓	27.1b	(*.f64 4 (/.f64 (-.f64 x y) z))
✓	43.8b	(*.f64 4 (/.f64 x z))
✓	45.1b	(.f64 4 (.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))))
✓	45.7b	(*.f64 -4 (/.f64 y z))
	36.1b	-2

Compiler

Compiled 96 to 68 computations (29.2% saved)

eval0.0ms (0%)

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

prune5.0ms (0%)

Pruning

9 alts after pruning (1 fresh and 8 done)

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

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
✓	17.2b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	19.3b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
✓	43.9b	(*.f64 x (/.f64 4 z))
✓	27.1b	(*.f64 4 (/.f64 (-.f64 x y) z))
✓	43.8b	(*.f64 4 (/.f64 x z))
✓	45.1b	(.f64 4 (.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))))
✓	45.7b	(*.f64 -4 (/.f64 y z))
	36.1b	-2

Compiler

Compiled 96 to 68 computations (29.2% saved)

regimes38.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(.f64 4 (.f64 (/.f64 z (-.f64 x y)) (/.f64 2 (.f64 (/.f64 z (-.f64 x y)) (/.f64 z (.f64 (-.f64 x y) 1/2))))))

Outputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)

Calls

5 calls:

8.0ms	x
7.0ms	(-.f64 x y)
7.0ms	z
7.0ms	y
5.0ms	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 126 to 74 computations (41.3% saved)

regimes102.0ms (0.9%)

Counts

7 → 9

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)

Outputs
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)

Calls

4 calls:

44.0ms	z
22.0ms	y
19.0ms	(-.f64 x y)
15.0ms	x

Results

Error	Segments	Branch
8.5b	3	`x`
7.9b	3	`y`
5.3b	9	`z`
10.8b	4	`(-.f64 x y)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch122.0ms (1.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
9.0ms	2.2343332611366406e+190	4.622315001183059e+190
13.0ms	8.449272707807616e+105	7.882283037112149e+107
24.0ms	2.1839116251898457e+29	1.6214370301496883e+50
14.0ms	9.888185195448873e-39	1.6644983217832873e-36
18.0ms	4.214416062774514e-117	2.7052580165590352e-115
16.0ms	-7.533102949041024e+35	-9.721701049663534e+28
16.0ms	-6.726790365251385e+83	-1.4111825285463784e+80
12.0ms	-3.8901176342601494e+136	-5.136361015992801e+135

Results

103.0ms	960×	body	256	valid
4.0ms	47×	body	256	infinite

Compiler

Compiled 1340 to 1061 computations (20.8% saved)

regimes82.0ms (0.7%)

Counts

6 → 3

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)

Outputs
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)

Calls

4 calls:

28.0ms	(-.f64 x y)
21.0ms	y
17.0ms	z
14.0ms	x

Results

Error	Segments	Branch
11.4b	3	`x`
16.8b	5	`y`
10.4b	3	`z`
13.5b	4	`(-.f64 x y)`

Compiler

Compiled 51 to 34 computations (33.3% saved)

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.0540953258422359e-48	1.9631699172896435e-45
14.0ms	-2221638.9582474832	-2241.499261661784

Results

24.0ms	256×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 372 to 287 computations (22.8% saved)

regimes127.0ms (1.1%)

Counts

5 → 5

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))

Outputs
-2
(*.f64 4 (/.f64 (-.f64 x y) z))
-2
(*.f64 4 (/.f64 (-.f64 x y) z))
-2

Calls

4 calls:

46.0ms	x
31.0ms	(-.f64 x y)
28.0ms	y
20.0ms	z

Results

Error	Segments	Branch
17.8b	11	`x`
21.7b	7	`y`
13.2b	5	`z`
17.4b	7	`(-.f64 x y)`

Compiler

Compiled 44 to 30 computations (31.8% saved)

bsearch95.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
49.0ms	3.831090498616194e+159	7.168317461418786e+182
16.0ms	-7.533102949041024e+35	-9.721701049663534e+28
18.0ms	-1.1246207507974726e+110	-4.805214746695143e+91
11.0ms	-3.647944957507433e+137	-3.8901176342601494e+136

Results

88.0ms

576×

body

256

valid

Compiler

Compiled 596 to 483 computations (19% saved)

regimes132.0ms (1.2%)

Counts

4 → 8

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))

Outputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
-2

Calls

3 calls:

65.0ms	x
35.0ms	z
31.0ms	y

Results

Error	Segments	Branch
25.4b	7	`x`
26.0b	9	`y`
22.7b	8	`z`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch135.0ms (1.2%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
19.0ms	1.0540953258422359e-48	1.9631699172896435e-45
15.0ms	4.232376042003618e-127	1.2086693960608943e-125
25.0ms	3.1014314772404185e-219	8.784550996469642e-217
24.0ms	-1.1580423926081047e-162	-6.722262404268929e-168
20.0ms	-8.569548209772002e-108	-1.2332290673651702e-112
16.0ms	-1.1019987778968913e-23	-6.978617872434804e-28
16.0ms	-7.533102949041024e+35	-9.721701049663534e+28

Results

99.0ms	928×	body	256	valid
24.0ms	242×	body	256	infinite

Compiler

Compiled 996 to 793 computations (20.4% saved)

regimes44.0ms (0.4%)

Accuracy

Total -35.0b remaining (-129.4%)

Threshold costs -35.0b (-129.4%)

Counts

2 → 5

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))

Outputs
-2
(*.f64 -4 (/.f64 y z))
-2
(*.f64 -4 (/.f64 y z))
-2

Calls

3 calls:

15.0ms	z
14.0ms	x
14.0ms	y

Results

Error	Segments	Branch
33.5b	5	`x`
28.6b	5	`y`
27.0b	5	`z`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch60.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	1.7941360734177536e+55	1.2404834320777555e+57
14.0ms	9.888185195448873e-39	1.6644983217832873e-36
15.0ms	4.214416062774514e-117	2.7052580165590352e-115
17.0ms	-7.533102949041024e+35	-9.721701049663534e+28

Results

50.0ms	480×	body	256	valid
3.0ms	33×	body	256	infinite

Compiler

Compiled 440 to 375 computations (14.8% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	629

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(if (<=.f64 z -10999999999999999741517216640396125351436536949232878811506057409832573996528422381228585187863114828408559765394467246748372123516928000) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 z -1199999999999999947663172542221813969489814972339193549730036029167321479840268288) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z -269999999999999999739349172224) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 z 4658085086122969/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 z 6944120419548559/47890485652059026823698344598447161988085597568237568) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 z 225000000000000011510915006464) (.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 z 470000000000000008157307955986900988352836674773049943987673804296606175267125066126764368607731767838769152) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z 28999999999999998938386837466506536495447661383168948741566929058007544102262880326826516363447501879997881749008183724517676531167964956239849621635698545612825825798700258397762628383408128) (-.f64 (.f64 4 (/.f64 x z)) 2) (-.f64 (*.f64 -4 (/.f64 y z)) 2)))))))))
(if (<=.f64 z -6200) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (.f64 4 (/.f64 (-.f64 x y) z)) (-.f64 (*.f64 -4 (/.f64 y z)) 2)))
(if (<=.f64 z -40000000000000002346562450802960479021848171455589217552374854182039285408215262438019101431845574359216121503428029997507208414467457024) -2 (if (<=.f64 z -34000000000000000634484508300467598143373044237437724393080735526008079075736873297231602217530740378374766592) (.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 z -749999999999999994921989883094368256) -2 (if (<=.f64 z 21499999999999999437967342697868618911322403916643055511230433673250591379041773540688584412028799599936263121616734427205503250627878438790002251758578111086592) (.f64 4 (/.f64 (-.f64 x y) z)) -2))))
(if (<=.f64 z -137999999999999999084903530496) -2 (if (<=.f64 z -6751202159711419/10889035741470030830827987437816582766592) (.f64 -4 (/.f64 y z)) (if (<=.f64 z -4603064921880259/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 4 (/.f64 x z)) (if (<=.f64 z -8428703499289517/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 6831079606123119/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 4 (/.f64 x z)) (if (<=.f64 z 7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 2468256835981809/411376139330301510538742295639337626245683966408394965837152256) (.f64 4 (/.f64 x z)) -2)))))))
(if (<=.f64 z -130000000000000001177626345472) -2 (if (<=.f64 z 187155204353155/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 8428725474762389/766247770432944429179173513575154591809369561091801088) -2 (if (<=.f64 z 23500000000000000308580548363788644708990233604366794752) (.f64 -4 (/.f64 y z)) -2))))
-2

Outputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(if (<=.f64 z -10999999999999999741517216640396125351436536949232878811506057409832573996528422381228585187863114828408559765394467246748372123516928000) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 z -1199999999999999947663172542221813969489814972339193549730036029167321479840268288) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z -269999999999999999739349172224) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 z 4658085086122969/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 z 6944120419548559/47890485652059026823698344598447161988085597568237568) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 z 225000000000000011510915006464) (.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 z 470000000000000008157307955986900988352836674773049943987673804296606175267125066126764368607731767838769152) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z 28999999999999998938386837466506536495447661383168948741566929058007544102262880326826516363447501879997881749008183724517676531167964956239849621635698545612825825798700258397762628383408128) (-.f64 (.f64 4 (/.f64 x z)) 2) (-.f64 (*.f64 -4 (/.f64 y z)) 2)))))))))
(if (<=.f64 z -6200) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (.f64 4 (/.f64 (-.f64 x y) z)) (-.f64 (*.f64 -4 (/.f64 y z)) 2)))
(if (<=.f64 z -40000000000000002346562450802960479021848171455589217552374854182039285408215262438019101431845574359216121503428029997507208414467457024) -2 (if (<=.f64 z -34000000000000000634484508300467598143373044237437724393080735526008079075736873297231602217530740378374766592) (.f64 4 (/.f64 (-.f64 x y) z)) (if (<=.f64 z -749999999999999994921989883094368256) -2 (if (<=.f64 z 21499999999999999437967342697868618911322403916643055511230433673250591379041773540688584412028799599936263121616734427205503250627878438790002251758578111086592) (.f64 4 (/.f64 (-.f64 x y) z)) -2))))
(if (<=.f64 z -137999999999999999084903530496) -2 (if (<=.f64 z -6751202159711419/10889035741470030830827987437816582766592) (.f64 -4 (/.f64 y z)) (if (<=.f64 z -4603064921880259/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 4 (/.f64 x z)) (if (<=.f64 z -8428703499289517/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 6831079606123119/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 4 (/.f64 x z)) (if (<=.f64 z 7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 2468256835981809/411376139330301510538742295639337626245683966408394965837152256) (.f64 4 (/.f64 x z)) -2)))))))
(if (<=.f64 z -130000000000000001177626345472) -2 (if (<=.f64 z 187155204353155/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 8428725474762389/766247770432944429179173513575154591809369561091801088) -2 (if (<=.f64 z 23500000000000000308580548363788644708990233604366794752) (.f64 -4 (/.f64 y z)) -2))))
-2

Compiler

Compiled 277 to 185 computations (33.2% saved)

soundness380.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

6728×	`rational.json-simplify-41`
3124×	`rational.json-simplify-35`
1356×	`rational.json-simplify-1`
1222×	`rational.json-simplify-2`
1118×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	21	31
2	33	31
3	51	31
4	84	31
5	152	31
6	325	31
7	776	31
8	1185	31
9	2163	31
10	2636	31
11	2744	31
12	2848	31
13	2952	31
14	3056	31
15	3489	31
16	3672	31
17	3774	31
18	3876	31
19	3978	31
20	4080	31
21	4182	31
22	4284	31
23	4386	31
24	4488	31
25	4590	31
26	4692	31
27	4794	31
28	4794	31
29	4896	31
30	4998	31
31	5100	31
32	5202	31
33	5304	31
34	5406	31
35	5508	31
36	5610	31
37	5712	31

Stop Event

1×	node limit

Compiler

Compiled 25 to 16 computations (36% saved)

end99.0ms (0.9%)

Compiler: Compiled 259 to 157 computations (39.4% saved)

Details

analyze558.0ms (5.1%)

sample5.2s (47.5%)

preprocess143.0ms (1.3%)

simplify332.0ms (3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.1%)

series5.0ms (0%)

rewrite146.0ms (1.3%)

simplify205.0ms (1.9%)

localize14.0ms (0.1%)

series1.0ms (0%)

rewrite73.0ms (0.7%)

simplify83.0ms (0.7%)

eval103.0ms (0.9%)

prune458.0ms (4.2%)

localize5.0ms (0%)

series3.0ms (0%)

rewrite76.0ms (0.7%)

simplify356.0ms (3.2%)

localize5.0ms (0%)

series2.0ms (0%)

rewrite152.0ms (1.4%)

simplify243.0ms (2.2%)

localize7.0ms (0.1%)

series5.0ms (0%)

rewrite87.0ms (0.8%)

simplify86.0ms (0.8%)

localize11.0ms (0.1%)

eval100.0ms (0.9%)

prune101.0ms (0.9%)

localize72.0ms (0.7%)

series249.0ms (2.3%)

rewrite96.0ms (0.9%)

simplify153.0ms (1.4%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite88.0ms (0.8%)

simplify97.0ms (0.9%)

localize7.0ms (0.1%)

localize8.0ms (0.1%)

eval118.0ms (1.1%)

prune67.0ms (0.6%)

eval0.0ms (0%)

prune5.0ms (0%)

regimes38.0ms (0.3%)

regimes102.0ms (0.9%)

bsearch122.0ms (1.1%)

regimes82.0ms (0.7%)

bsearch30.0ms (0.3%)

regimes127.0ms (1.1%)

bsearch95.0ms (0.9%)

regimes132.0ms (1.2%)

bsearch135.0ms (1.2%)

regimes44.0ms (0.4%)

bsearch60.0ms (0.5%)

simplify9.0ms (0.1%)

soundness380.0ms (3.4%)

end99.0ms (0.9%)

Profiling