Details

analyze753.0ms (5.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
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)

sample3.9s (30.5%)

Results

3.4s	8256×	body	256	valid
433.0ms	1700×	body	256	infinite

Bogosity

preprocess166.0ms (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)

simplify384.0ms (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)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 x y) (*.f64 z 1/2))
✓	0.2b	(.f64 (-.f64 (-.f64 x y) (.f64 z 1/2)) (/.f64 4 z))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational.json-1`
1568×	`rational.json-2`
1568×	`rational.json-3`
1564×	`rational.json-4`
1144×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	82	50
2	187	50
3	440	50
4	908	50
5	2743	50
6	6791	50

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

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

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

simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational.json-simplify-35`
1206×	`rational.json-simplify-61`
1124×	`rational.json-simplify-41`
876×	`rational.json-simplify-2`
658×	`rational.json-simplify-29`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	4542
1	614	4460
2	1901	4460
3	4413	4424
4	7563	4424

Stop Event

1×	node limit

Counts

172 → 165

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`rational.json-simplify-35`
1284×	`rational.json-1`
1284×	`rational.json-2`
1284×	`rational.json-4`
1284×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	83	31
2	209	31
3	560	31
4	1492	31
5	3988	31

Stop Event

1×	node limit

Counts

1 → 68

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

Outputs

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

simplify806.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-2`
1240×	`rational.json-simplify-49`
1050×	`rational.json-simplify-35`
952×	`rational.json-simplify-1`
890×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	3182
1	336	3180
2	588	3180
3	1233	3176
4	2127	3176
5	4857	3176
6	6187	3176
7	6864	3176
8	7525	3176

Stop Event

1×	node limit

Counts

104 → 85

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

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

eval439.0ms (3.5%)

Compiler: Compiled 4647 to 3171 computations (31.8% saved)

prune167.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	328	10	338
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	330	10	340

Error

Counts

340 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.8b	(/.f64 (.f64 4 (-.f64 x (.f64 1/2 z))) z)
▶	25.1b	(/.f64 (*.f64 4 (-.f64 x y)) z)
	44.2b	(/.f64 (*.f64 4 x) z)
	0.1b	(/.f64 4 (/.f64 z (+.f64 x (-.f64 (/.f64 z -2) y))))
▶	0.0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
	38.3b	(.f64 (.f64 z -1/2) (/.f64 4 z))
▶	43.7b	(*.f64 (neg.f64 y) (/.f64 4 z))
	19.3b	(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
▶	43.6b	(*.f64 -4 (/.f64 y z))
	38.3b	-2

Compiler

Compiled 194 to 146 computations (24.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 13 computations (59.4% saved)

series8.0ms (0.1%)

Counts

3 → 75

Calls

27 calls:

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

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`
1380×	`rational.json-3`
1372×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	72	57
2	160	57
3	382	57
4	936	57
5	3642	57

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

((#(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 -1 (-.f64 1 (/.f64 (-.f64 y x) 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 0 (/.f64 (-.f64 y x) z))))) (#(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 1/2 (*.f64 2 (/.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (*.f64 1/2 (/.f64 2 z)))))) (#(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 4 (/.f64 (-.f64 x y) (*.f64 z 4)))))) (#(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 -4 (/.f64 z (-.f64 y x))) 1/4)))) (#(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 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 (*.f64 (/.f64 (-.f64 x y) z) 8) 1/8)))) (#(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 x y) 4) (/.f64 2 (*.f64 z 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 4) (*.f64 (/.f64 1 z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 4) (*.f64 (/.f64 1/2 z) 1/2))))) (#(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 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 2 (*.f64 z (/.f64 (/.f64 z (-.f64 x y)) (-.f64 x y))))))))) (#(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 x y) -2) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 z (-.f64 x y))) (/.f64 1 (*.f64 2 (*.f64 z (/.f64 (/.f64 z (-.f64 x y)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (+.f64 -2 (*.f64 (/.f64 (-.f64 x y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 2 z)) (+.f64 (*.f64 (-.f64 x y) (/.f64 2 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (/.f64 -4 (/.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x y) z) 3) (+.f64 (/.f64 (-.f64 x y) z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 1/2) (*.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (*.f64 (/.f64 (-.f64 x y) z) 3)) (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 x y) z) -2) (*.f64 (/.f64 (-.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 x y) (/.f64 2 z)) -2) (*.f64 (-.f64 x y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -4 (/.f64 z (-.f64 y x))) -2) 1)))))

simplify190.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational.json-simplify-49`
1254×	`rational.json-simplify-46`
1086×	`rational.json-simplify-50`
962×	`rational.json-simplify-2`
902×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	7658
1	803	7070
2	2430	6728
3	5528	6728

Stop Event

1×	node limit

Counts

240 → 248

Calls

Call 1

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

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

localize6.0ms (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)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`rational.json-1`
1264×	`rational.json-2`
1264×	`rational.json-4`
1264×	`rational.json-3`
1256×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	123	13
3	305	13
4	805	13
5	3387	13

Stop Event

1×	node limit

Counts

1 → 10

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

simplify203.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1878×	`rational.json-simplify-35`
1550×	`rational.json-simplify-2`
994×	`rational.json-simplify-49`
802×	`rational.json-simplify-51`
758×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	130
1	78	130
2	168	130
3	402	130
4	1247	130
5	4063	130
6	5446	130
7	6480	130
8	6797	130
9	7547	130

Stop Event

1×	node limit

Counts

10 → 11

Calls

Call 1

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

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 (/.f64 y z) -2) (.f64 (/.f64 y z) -2))
(*.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 -8 (/.f64 (.f64 y 4) z)) 8)
(*.f64 -4 (/.f64 y z))
(/.f64 (.f64 2 (.f64 -8 (/.f64 (*.f64 y 4) z))) 16)
(*.f64 -4 (/.f64 y z))
(pow.f64 (*.f64 -4 (/.f64 y z)) 1)
(*.f64 -4 (/.f64 y z))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (neg.f64 y) (/.f64 4 z))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite149.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`rational.json-1`
1748×	`rational.json-2`
1394×	`rational.json-simplify-35`
870×	`rational.json-simplify-2`
862×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	65	17
2	162	17
3	374	17
4	832	13
5	2734	13
6	7132	13

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational.json-simplify-35`
1478×	`rational.json-simplify-53`
1328×	`rational.json-simplify-2`
1228×	`rational.json-simplify-61`
736×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	1325
1	603	1325
2	1805	1325
3	4769	1325
4	6985	1325

Stop Event

1×	node limit

Counts

101 → 82

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1302×	`rational.json-1`
1302×	`rational.json-2`
1302×	`rational.json-4`
1302×	`rational.json-3`
1294×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	62	19
2	167	19
3	459	19
4	1278	19
5	3771	19

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

Outputs

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

simplify172.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1020×	`rational.json-simplify-2`
990×	`rational.json-simplify-50`
980×	`rational.json-simplify-53`
972×	`rational.json-simplify-49`
872×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	2270
1	267	2270
2	525	2270
3	917	2270
4	1268	2270
5	1814	2270
6	3396	2270
7	5761	2270
8	6284	2270
9	7489	2270

Stop Event

1×	node limit

Counts

110 → 78

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

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite147.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`rational.json-1`
1916×	`rational.json-2`
1420×	`rational.json-simplify-35`
1218×	`rational.json-simplify-2`
1082×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	69	25
2	175	25
3	470	25
4	1305	25
5	3428	25
6	7467	25

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify230.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1486×	`rational.json-simplify-2`
1202×	`rational.json-simplify-43`
918×	`rational.json-simplify-49`
836×	`rational.json-simplify-47`
790×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	2142
1	259	2142
2	485	2134
3	795	2134
4	1944	2134
5	4236	2134
6	6035	2134
7	6845	2134
8	7447	2134

Stop Event

1×	node limit

Counts

94 → 77

Calls

Call 1

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

eval125.0ms (1%)

Compiler: Compiled 7837 to 4008 computations (48.9% saved)

prune102.0ms (0.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	491	5	496
Fresh	2	3	5
Picked	0	1	1
Done	2	2	4
Total	495	11	506

Error

Counts

506 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.8b	(/.f64 (.f64 4 (-.f64 x (.f64 1/2 z))) z)
✓	25.1b	(/.f64 (*.f64 4 (-.f64 x y)) z)
▶	44.2b	(/.f64 (*.f64 4 x) z)
▶	43.7b	(/.f64 -4 (/.f64 z y))
▶	0.1b	(-.f64 (/.f64 4 (/.f64 z (-.f64 x y))) 2)
	19.3b	(-.f64 (*.f64 (/.f64 y z) -4) 2)
▶	19.8b	(-.f64 (*.f64 (/.f64 x z) 4) 2)
▶	43.7b	(*.f64 y (/.f64 -4 z))
	19.3b	(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
✓	43.6b	(*.f64 -4 (/.f64 y z))
	38.3b	-2

Compiler

Compiled 170 to 130 computations (23.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 4 (/.f64 z (-.f64 x y))) 2)
✓	0.0b	(/.f64 z (-.f64 x y))
✓	0.5b	(/.f64 4 (/.f64 z (-.f64 x y)))

Compiler

Compiled 32 to 13 computations (59.4% saved)

series6.0ms (0%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 4 (/.f64 z (-.f64 x y)))
0.0ms	z	@	0	(/.f64 z (-.f64 x y))
0.0ms	x	@	0	(/.f64 z (-.f64 x y))
0.0ms	z	@	-inf	(/.f64 z (-.f64 x y))
0.0ms	x	@	inf	(/.f64 z (-.f64 x y))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`rational.json-1`
1306×	`rational.json-2`
1306×	`rational.json-4`
1306×	`rational.json-3`
1292×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	81	57
2	232	57
3	659	57
4	2091	57
5	4814	57

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) z) (*.f64 3/2 (*.f64 (-.f64 x y) (/.f64 2 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 3/2 (*.f64 (-.f64 x y) (/.f64 2 z))) (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 x y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 2) (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 2) (*.f64 (/.f64 4 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 -4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 x y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 y x)) (/.f64 -2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8 (/.f64 z (-.f64 y x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (/.f64 1 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) (/.f64 2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 4 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (-.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -8 (/.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 z) (*.f64 (-.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 z) 1/2) (*.f64 (-.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (-.f64 x y))) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) 1/4) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 z) (*.f64 2 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 2 z)) (-.f64 (*.f64 (-.f64 x y) (/.f64 2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) 2) (/.f64 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 (*.f64 (-.f64 x y) (/.f64 2 z))) (-.f64 (/.f64 (-.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (/.f64 (/.f64 z (-.f64 y x)) 4)) 1) (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (/.f64 z (*.f64 4 (-.f64 y x)))) 1) (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 1 (-.f64 x y)) (*.f64 z -1/4))) 1) (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 z (/.f64 1/4 (-.f64 x y))))) 1) (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (*.f64 z (/.f64 1/2 (-.f64 x y)))) 1) (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2) 1)))))

simplify194.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational.json-simplify-53`
1146×	`rational.json-simplify-35`
990×	`rational.json-simplify-2`
838×	`rational.json-simplify-1`
756×	`rational.json-simplify-46`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	220	5139
1	474	5049
2	982	4989
3	2352	4887
4	4750	4881
5	6096	4881
6	7855	4881

Stop Event

1×	node limit

Counts

189 → 147

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y (/.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	y	@	0	(*.f64 y (/.f64 -4 z))
0.0ms	z	@	-inf	(*.f64 y (/.f64 -4 z))
0.0ms	y	@	-inf	(*.f64 y (/.f64 -4 z))
0.0ms	y	@	inf	(*.f64 y (/.f64 -4 z))
0.0ms	z	@	inf	(*.f64 y (/.f64 -4 z))

rewrite360.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`rational.json-1`
1240×	`rational.json-2`
1240×	`rational.json-3`
1238×	`rational.json-4`
1224×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	49	13
2	123	13
3	284	13
4	616	13
5	1976	13
6	4962	13

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1592×	`rational.json-simplify-35`
1578×	`rational.json-simplify-51`
1412×	`rational.json-simplify-49`
1122×	`rational.json-simplify-46`
764×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	1388
1	638	1356
2	1802	1350
3	5869	1346

Stop Event

1×	node limit

Counts

98 → 82

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 -4 (/.f64 z y))

Compiler

Compiled 14 to 7 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational.json-1`
1520×	`rational.json-2`
1520×	`rational.json-4`
1520×	`rational.json-3`
1504×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	53	13
2	166	13
3	494	13
4	1572	13
5	4497	13

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational.json-simplify-53`
1150×	`rational.json-simplify-29`
912×	`rational.json-simplify-49`
890×	`rational.json-simplify-2`
846×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1001
1	265	1001
2	556	1001
3	1432	1001
4	4549	1001

Stop Event

1×	node limit

Counts

77 → 53

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational.json-1`
1292×	`rational.json-2`
1292×	`rational.json-4`
1292×	`rational.json-3`
1284×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	60	32
2	138	32
3	327	32
4	845	32
5	3459	32

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

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 (/.f64 x z) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x z) 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 (/.f64 x z) 3) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x z) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 z (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z x) (*.f64 (*.f64 z (/.f64 1/2 x)) (*.f64 z (/.f64 1/2 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 z) 16) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 z (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (-.f64 0 (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 z (/.f64 2 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 -4 (/.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (neg.f64 (*.f64 z (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 x z) 16))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 z (/.f64 1/2 x)) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2))) (*.f64 (*.f64 z (/.f64 1/2 x)) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 z (/.f64 1/2 x)) (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x)))) (*.f64 (*.f64 z (/.f64 1/2 x)) (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 z (/.f64 1/2 x)) (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x))))) (*.f64 (*.f64 z (/.f64 1/2 x)) (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2)) (*.f64 z (/.f64 1/2 x))) (*.f64 (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2)) (*.f64 z (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2)) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2))) (*.f64 (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2)) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2)) (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x)))) (*.f64 (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2)) (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2)) (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x))))) (*.f64 (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2)) (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x))) (*.f64 z (/.f64 1/2 x))) (*.f64 (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x))) (*.f64 z (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x))) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2))) (*.f64 (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x))) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x))) (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x)))) (*.f64 (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x))) (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x))) (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x))))) (*.f64 (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x))) (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x)))) (*.f64 z (/.f64 1/2 x))) (*.f64 (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x)))) (*.f64 z (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x)))) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2))) (*.f64 (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x)))) (*.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 (/.f64 x z) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x)))) (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x)))) (*.f64 (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x)))) (/.f64 (*.f64 (/.f64 z x) (/.f64 z x)) (*.f64 z (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x)))) (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x))))) (*.f64 (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x)))) (/.f64 (/.f64 z x) (*.f64 (/.f64 x z) (*.f64 z (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x 4) 1/2)) (neg.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x z) 4) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (+.f64 -2 (*.f64 (/.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) 4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 (/.f64 x z) 4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 2 z)) (+.f64 (*.f64 x (/.f64 2 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (/.f64 x z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) 3) (+.f64 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x z) 3) (+.f64 -2 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 1/2) (*.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (*.f64 (/.f64 x z) 3)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x z) -2) (*.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (/.f64 2 z)) -2) (*.f64 x (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (/.f64 x z) 4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (+.f64 -2 (*.f64 (/.f64 x z) 8))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (*.f64 (/.f64 x z) 4) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 -2 (+.f64 -2 (*.f64 (/.f64 x z) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 (*.f64 (/.f64 x z) 4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (+.f64 -2 (*.f64 (/.f64 x z) 8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 (/.f64 x z) 4) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (/.f64 x z) 4) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 (/.f64 x z) 4) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (/.f64 x z) 4) -2) 1)))))

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-61`
1414×	`rational.json-simplify-35`
1342×	`rational.json-simplify-44`
1122×	`rational.json-simplify-47`
784×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	3010
1	501	3010
2	1574	2830

Stop Event

1×	node limit

Counts

124 → 99

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

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

eval91.0ms (0.7%)

Compiler: Compiled 5373 to 3163 computations (41.1% saved)

prune63.0ms (0.5%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	381	0	381
Fresh	0	3	3
Picked	0	1	1
Done	0	7	7
Total	381	11	392

Error

Counts

392 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.8b	(/.f64 (.f64 4 (-.f64 x (.f64 1/2 z))) z)
✓	25.1b	(/.f64 (*.f64 4 (-.f64 x y)) z)
✓	44.2b	(/.f64 (*.f64 4 x) z)
✓	43.7b	(/.f64 -4 (/.f64 z y))
✓	0.1b	(-.f64 (/.f64 4 (/.f64 z (-.f64 x y))) 2)
▶	19.3b	(-.f64 (*.f64 (/.f64 y z) -4) 2)
✓	19.8b	(-.f64 (*.f64 (/.f64 x z) 4) 2)
✓	43.7b	(*.f64 y (/.f64 -4 z))
▶	19.3b	(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
✓	43.6b	(*.f64 -4 (/.f64 y z))
	38.3b	-2

Compiler

Compiled 102 to 78 computations (23.5% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y (*.f64 1/2 z)) z)

Compiler

Compiled 31 to 20 computations (35.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational.json-1`
1432×	`rational.json-2`
1432×	`rational.json-4`
1432×	`rational.json-3`
1424×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	55	19
2	138	19
3	350	19
4	911	19
5	3871	19

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

Inputs
(/.f64 (+.f64 y (*.f64 1/2 z)) z)

Outputs

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational.json-simplify-53`
1052×	`rational.json-simplify-2`
860×	`rational.json-simplify-50`
796×	`rational.json-simplify-55`
766×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	1924
1	316	1912
2	792	1912
3	3365	1912
4	6319	1912

Stop Event

1×	node limit

Counts

100 → 84

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`rational.json-1`
1296×	`rational.json-2`
1296×	`rational.json-4`
1296×	`rational.json-3`
1288×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	60	32
2	138	32
3	328	32
4	852	32
5	3500	32

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify435.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3086×	`rational.json-simplify-35`
1130×	`rational.json-simplify-2`
960×	`rational.json-simplify-52`
896×	`rational.json-simplify-1`
592×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1225
1	128	1225
2	344	1225
3	971	1225
4	2875	1225
5	3628	1225
6	3936	1225
7	4202	1225
8	4511	1225
9	4867	1225
10	5007	1225
11	5087	1225
12	5227	1225
13	5442	1225
14	5980	1225
15	6830	1225
16	7988	1225

Stop Event

1×	node limit

Counts

79 → 35

Calls

Call 1

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

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

eval32.0ms (0.2%)

Compiler: Compiled 1774 to 1192 computations (32.8% saved)

prune20.0ms (0.2%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	119	11	130

Error

Counts

130 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.8b	(/.f64 (.f64 4 (-.f64 x (.f64 1/2 z))) z)
✓	25.1b	(/.f64 (*.f64 4 (-.f64 x y)) z)
✓	44.2b	(/.f64 (*.f64 4 x) z)
✓	43.7b	(/.f64 -4 (/.f64 z y))
✓	0.1b	(-.f64 (/.f64 4 (/.f64 z (-.f64 x y))) 2)
✓	19.3b	(-.f64 (*.f64 (/.f64 y z) -4) 2)
✓	19.8b	(-.f64 (*.f64 (/.f64 x z) 4) 2)
✓	43.7b	(*.f64 y (/.f64 -4 z))
✓	19.3b	(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
✓	43.6b	(*.f64 -4 (/.f64 y z))
	38.3b	-2

Compiler

Compiled 102 to 78 computations (23.5% saved)

regimes49.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	y
9.0ms	(-.f64 x y)
9.0ms	x
9.0ms	z
7.0ms	(/.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 159 to 102 computations (35.8% saved)

regimes345.0ms (2.7%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

4 calls:

157.0ms	y
117.0ms	(-.f64 x y)
37.0ms	z
31.0ms	x

Results

Error	Segments	Branch
7.3b	5	`x`
7.2b	5	`y`
8.7b	5	`z`
10.5b	6	`(-.f64 x y)`

Compiler

Compiled 85 to 57 computations (32.9% saved)

bsearch53.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	2.735831046404953e-23	4.725319427105944e-18
13.0ms	-6.955995544895651e-22	-1.828756774004877e-23
11.0ms	-7.484114268621393e+73	-3.01184975148129e+73
12.0ms	-7.99103551779518e+108	-1.728319925013398e+108

Results

46.0ms	432×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 638 to 513 computations (19.6% saved)

regimes225.0ms (1.8%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

4 calls:

90.0ms	z
70.0ms	(-.f64 x y)
34.0ms	y
30.0ms	x

Results

Error	Segments	Branch
7.3b	5	`x`
7.2b	5	`y`
8.7b	5	`z`
10.5b	6	`(-.f64 x y)`

Compiler

Compiled 76 to 51 computations (32.9% saved)

bsearch125.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	2.735831046404953e-23	4.725319427105944e-18
14.0ms	-6.955995544895651e-22	-1.828756774004877e-23
74.0ms	-7.484114268621393e+73	-3.01184975148129e+73
14.0ms	-7.99103551779518e+108	-1.728319925013398e+108

Results

109.0ms	432×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 614 to 501 computations (18.4% saved)

regimes123.0ms (1%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	x
31.0ms	z
26.0ms	y

Results

Error	Segments	Branch
14.0b	9	`x`
11.9b	5	`y`
15.7b	5	`z`

Compiler

Compiled 56 to 39 computations (30.4% saved)

bsearch59.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	1.3304486247336126e+84	7.572432292334754e+85
11.0ms	-7.99103551779518e+108	-1.728319925013398e+108
16.0ms	-9.600135318211594e+157	-1.192509331392473e+157
18.0ms	-1.2113882213323283e+203	-1.9394089903224942e+200

Results

47.0ms	432×	body	256	valid
6.0ms	60×	body	256	infinite

Compiler

Compiled 560 to 447 computations (20.2% saved)

regimes116.0ms (0.9%)

Counts

7 → 9

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	y
41.0ms	x
27.0ms	z

Results

Error	Segments	Branch
23.1b	9	`x`
24.5b	9	`y`
27.4b	5	`z`

Compiler

Compiled 49 to 34 computations (30.6% saved)

bsearch294.0ms (2.3%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
17.0ms	1.4711387061631635e+90	2.82843008578908e+99
22.0ms	5.068035893459375e-5	0.000832888195109391
18.0ms	3.454948837880368e-219	6.538975155572558e-208
114.0ms	5.1082940390814175e-238	1.808991937287583e-234
16.0ms	1.3303024135950069e-303	8.541440988133833e-296
18.0ms	-2.9322545174325553e-117	-2.5322405987898943e-123
74.0ms	-1.299523688832944e-42	-9.799121523249664e-54
15.0ms	-3.3932483624717904e+100	-1.6427432999525894e+98

Results

277.0ms	1104×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 986 to 843 computations (14.5% saved)

regimes66.0ms (0.5%)

Accuracy

Total -33.4b remaining (-116.2%)

Threshold costs -33.4b (-116.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	x
16.0ms	y
16.0ms	z

Results

Error	Segments	Branch
31.9b	7	`x`
28.7b	3	`y`
29.6b	3	`z`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	4.224620425332765e-10	0.02435504373625125
9.0ms	-1.503698707457852e+104	-5.624574091505027e+103

Results

27.0ms	224×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 216 to 183 computations (15.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	593

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(if (<=.f64 y -1750000000000000124683386740458497801742217788597672737145492348276241745872095837602499421093058128231006208) (-.f64 (.f64 (/.f64 y z) -4) 2) (if (<=.f64 y -71999999999999997523005822159879304691067493091396242296765781344073547776) (-.f64 (.f64 (/.f64 x z) 4) 2) (if (<=.f64 y -2924301590726815/5316911983139663491615228241121378304) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)) (if (<=.f64 y 1295997295890293/166153499473114484112975882535043072) (-.f64 (.f64 (/.f64 x z) 4) 2) (-.f64 (.f64 (/.f64 y z) -4) 2)))))
(if (<=.f64 y -2250000000000000011312580111552800578033681090253919453708230511075259341020707495568467044429875655454228480) (-.f64 (.f64 (/.f64 y z) -4) 2) (if (<=.f64 y -40999999999999997892033678131411185856214608765082147296507687213815824384) (-.f64 (.f64 (/.f64 x z) 4) 2) (if (<=.f64 y -8932412131674635/85070591730234615865843651857942052864) (-.f64 (.f64 (/.f64 y z) -4) 2) (if (<=.f64 y 5451911701461569/1298074214633706907132624082305024) (-.f64 (.f64 (/.f64 x z) 4) 2) (-.f64 (*.f64 (/.f64 y z) -4) 2)))))
(if (<=.f64 y -199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896) (.f64 -4 (/.f64 y z)) (if (<=.f64 y -89999999999999996978034935753274372581137982391627863044222998453311712819643395715756964579545805058243150564521990413193861949710484050343939058676864647168) (-.f64 (.f64 (/.f64 x z) 4) 2) (if (<=.f64 y -5300000000000000258416837570159236065911380449398481037257569105412690964560757671659772477730016780825395200) (.f64 -4 (/.f64 y z)) (if (<=.f64 y 45000000000000000658381285380369286393651934453909477667537485422640836391301669715968) (-.f64 (.f64 (/.f64 x z) 4) 2) (*.f64 -4 (/.f64 y z))))))
(if (<=.f64 x -950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944) (/.f64 (.f64 4 x) z) (if (<=.f64 x -4097911893406897/53919893334301279589334030174039261347274288845081144962207220498432) -2 (if (<=.f64 x -3924929111196277/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 -4 (/.f64 y z)) (if (<=.f64 x 3652222135876439/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) -2 (if (<=.f64 x 8064715343442549/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (.f64 -4 (/.f64 y z)) (if (<=.f64 x 2046776781841755/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) -2 (if (<=.f64 x 7526271582073497/147573952589676412928) (.f64 -4 (/.f64 y z)) (if (<=.f64 x 64999999999999997608880287671018300703174740730920201869315986353022211062237991855095210311680) -2 (/.f64 (*.f64 4 x) z)))))))))
(if (<=.f64 y -57000000000000003292062192909510627758755830393769321278629165435190013098596811206011241151379881852928) (.f64 -4 (/.f64 y z)) (if (<=.f64 y 2132904783522667/1152921504606846976) -2 (.f64 -4 (/.f64 y z))))
-2

Outputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(if (<=.f64 y -1750000000000000124683386740458497801742217788597672737145492348276241745872095837602499421093058128231006208) (-.f64 (.f64 (/.f64 y z) -4) 2) (if (<=.f64 y -71999999999999997523005822159879304691067493091396242296765781344073547776) (-.f64 (.f64 (/.f64 x z) 4) 2) (if (<=.f64 y -2924301590726815/5316911983139663491615228241121378304) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)) (if (<=.f64 y 1295997295890293/166153499473114484112975882535043072) (-.f64 (.f64 (/.f64 x z) 4) 2) (-.f64 (.f64 (/.f64 y z) -4) 2)))))
(if (<=.f64 y -2250000000000000011312580111552800578033681090253919453708230511075259341020707495568467044429875655454228480) (-.f64 (.f64 (/.f64 y z) -4) 2) (if (<=.f64 y -40999999999999997892033678131411185856214608765082147296507687213815824384) (-.f64 (.f64 (/.f64 x z) 4) 2) (if (<=.f64 y -8932412131674635/85070591730234615865843651857942052864) (-.f64 (.f64 (/.f64 y z) -4) 2) (if (<=.f64 y 5451911701461569/1298074214633706907132624082305024) (-.f64 (.f64 (/.f64 x z) 4) 2) (-.f64 (*.f64 (/.f64 y z) -4) 2)))))
(if (<=.f64 y -199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896) (.f64 -4 (/.f64 y z)) (if (<=.f64 y -89999999999999996978034935753274372581137982391627863044222998453311712819643395715756964579545805058243150564521990413193861949710484050343939058676864647168) (-.f64 (.f64 (/.f64 x z) 4) 2) (if (<=.f64 y -5300000000000000258416837570159236065911380449398481037257569105412690964560757671659772477730016780825395200) (.f64 -4 (/.f64 y z)) (if (<=.f64 y 45000000000000000658381285380369286393651934453909477667537485422640836391301669715968) (-.f64 (.f64 (/.f64 x z) 4) 2) (*.f64 -4 (/.f64 y z))))))
(if (<=.f64 x -950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944) (/.f64 (.f64 4 x) z) (if (<=.f64 x -4097911893406897/53919893334301279589334030174039261347274288845081144962207220498432) -2 (if (<=.f64 x -3924929111196277/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 -4 (/.f64 y z)) (if (<=.f64 x 3652222135876439/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) -2 (if (<=.f64 x 8064715343442549/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (.f64 -4 (/.f64 y z)) (if (<=.f64 x 2046776781841755/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744) -2 (if (<=.f64 x 7526271582073497/147573952589676412928) (.f64 -4 (/.f64 y z)) (if (<=.f64 x 64999999999999997608880287671018300703174740730920201869315986353022211062237991855095210311680) -2 (/.f64 (*.f64 4 x) z)))))))))
(if (<=.f64 y -57000000000000003292062192909510627758755830393769321278629165435190013098596811206011241151379881852928) (.f64 -4 (/.f64 y z)) (if (<=.f64 y 2132904783522667/1152921504606846976) -2 (.f64 -4 (/.f64 y z))))
-2

Compiler

Compiled 260 to 179 computations (31.2% saved)

soundness437.0ms (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)

end108.0ms (0.8%)

Compiler: Compiled 242 to 155 computations (36% saved)