Details

analyze254.0ms (1.9%)

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
1.6%	1.6%	97.5%	0.1%	0.8%	0%	0%	9
19.1%	18.7%	79.2%	0.1%	2%	0%	0%	10
22.6%	21.8%	74.7%	0.1%	3.3%	0%	0%	11
27.8%	26.5%	68.8%	0.1%	4.5%	0%	0%	12

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample4.5s (33.6%)

Results

3.9s	8256×	body	256	valid
514.0ms	1686×	body	256	infinite

Bogosity

preprocess515.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

7684×	`rational.json-simplify-41`
6638×	`rational.json-simplify-1`
568×	`rational.json-simplify-35`
72×	`rational.json-simplify-51`
64×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	40	100
2	67	100
3	136	100
4	357	100
5	1086	100
6	1472	100
7	1499	100
8	1514	100
9	1525	100
10	1536	100
11	1547	100
12	1558	100
13	1569	100
14	1580	100
15	1591	100
16	1602	100
17	1613	100
18	1624	100
19	1635	100
20	1646	100
21	1657	100
22	1668	100
23	1679	100
24	1690	100
25	1701	100
26	1712	100
27	1723	100
28	1734	100
29	1745	100
30	1756	100
31	1767	100
32	1778	100
33	1789	100
34	1800	100
35	1811	100
36	1822	100
37	1833	100
38	1844	100
39	1855	100
40	1866	100
41	6585	100
42	6616	100
43	6635	100
44	6646	100
45	6657	100
46	6668	100
47	6679	100
48	6690	100
49	6701	100
50	6712	100
51	6723	100
52	6734	100
53	6745	100
54	6756	100
55	6767	100
56	6778	100
57	6789	100
58	6800	100
59	6811	100
60	6822	100
61	6833	100
62	6844	100
63	6855	100
64	6866	100
65	6877	100
66	6888	100
67	6899	100
68	6910	100
69	6921	100
70	6932	100
71	6943	100
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 x (*.f64 y (-.f64 z x))) z)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z)
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x)
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y)

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify1.4s (10.6%)

Algorithm

1×	egg-herbie

Rules

16914×	`rational.json-simplify-41`
1452×	`rational.json-simplify-1`
324×	`rational.json-simplify-35`
16×	`rational.json-simplify-51`
14×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	25
2	21	25
3	40	25
4	97	25
5	284	25
6	386	25
7	393	25
8	396	25
9	399	25
10	402	25
11	1529	25
12	1538	25
13	1543	25
14	1546	25
15	1549	25
16	1552	25
17	2098	25
18	2101	25
19	2104	25
20	2107	25
21	2110	25
22	2113	25
23	2116	25
24	2119	25
25	2122	25
26	2125	25
27	2128	25
28	2131	25
29	2134	25
30	2137	25
31	2140	25
32	2143	25
33	2146	25
34	2149	25
35	2152	25
36	2155	25
37	2158	25
38	2161	25
39	2164	25
40	2167	25
41	2170	25
42	2173	25
43	2176	25
44	2179	25
45	2182	25
46	2185	25
47	2188	25
48	2191	25
49	2194	25
50	2197	25
51	2200	25
52	2203	25
53	2206	25
54	2209	25
55	2212	25
56	2215	25
57	2218	25
58	2221	25
59	2224	25
60	2227	25
61	2230	25
62	2233	25
63	2236	25
64	2239	25
65	2242	25
66	2245	25
67	2248	25
68	2251	25
69	2254	25
70	2257	25
71	2260	25
72	2263	25
73	2266	25
74	2269	25
75	2272	25
76	2275	25
77	2278	25
78	2281	25
79	2284	25
80	2287	25
81	2290	25
82	2293	25
83	2296	25
84	2299	25
85	2302	25
86	2305	25
87	2308	25
88	2311	25
89	2314	25
90	2317	25
91	2320	25
92	2323	25
93	2326	25
94	2329	25
95	2332	25
96	2335	25
97	2338	25
98	2341	25
99	2344	25
100	2347	25
101	2350	25
102	2353	25
103	2356	25
104	2359	25
105	2362	25
106	2365	25
107	2368	25
108	2371	25
109	2374	25
110	2377	25
111	2380	25
112	2383	25
113	2386	25
114	2389	25
115	2392	25
116	2395	25
117	2398	25
118	2401	25
119	2404	25
120	2407	25
121	2410	25
122	2413	25
123	2416	25
124	2419	25
125	2422	25
126	2425	25
127	2428	25
128	2431	25
129	2434	25
130	2437	25
131	2440	25
132	2443	25
133	2446	25
134	2449	25
135	2452	25
136	2455	25
137	2458	25
138	2461	25
139	2464	25
140	2467	25
141	2470	25
142	2473	25
143	2476	25
144	2479	25
145	2482	25
146	2485	25
147	2488	25
148	2491	25
149	2494	25
150	2497	25
151	2500	25
152	2503	25
153	2506	25
154	2509	25
155	2512	25
156	2515	25
157	2518	25
158	2521	25
159	2524	25
160	2527	25
161	2530	25

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

7.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.8b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 12 to 7 computations (41.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 z x))
✓	7.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 30 to 7 computations (76.7% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite150.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`bool.json-1`
2006×	`bool.json-2`
1670×	`bool.json-3`
640×	`rational.json-simplify-35`
552×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	91	38
2	271	38
3	671	38
4	1686	38
5	5593	38

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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

Outputs

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

simplify374.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1244×	`rational.json-simplify-2`
820×	`rational.json-simplify-1`
766×	`rational.json-simplify-51`
698×	`rational.json-simplify-55`
686×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	3742
1	416	3532
2	953	3428
3	3206	3410
4	5893	3410

Stop Event

1×	node limit

Counts

120 → 138

Calls

Call 1

Inputs
y
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y
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y
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(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 z x) (.f64 y 4))) (.f64 2 (.f64 (-.f64 z x) (.f64 y 4)))) 16)

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

eval23.0ms (0.2%)

Compiler: Compiled 2191 to 665 computations (69.6% saved)

prune24.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	130	8	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	8	139

Error

0.0b

Counts

139 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	14.8b	(/.f64 (+.f64 x (*.f64 y z)) z)
▶	37.8b	(/.f64 x z)
▶	2.2b	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
	8.1b	(.f64 (/.f64 1 z) (/.f64 1 (/.f64 1 (+.f64 x (.f64 y (-.f64 z x))))))
▶	29.8b	(*.f64 (-.f64 1 y) (/.f64 x z))
▶	25.0b	(*.f64 y (/.f64 (-.f64 z x) z))
▶	31.0b	(*.f64 x (/.f64 (-.f64 1 y) z))
	33.2b	y

Compiler

Compiled 156 to 105 computations (32.7% saved)

localize68.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
✓	0.0b	(/.f64 (-.f64 1 y) z)
✓	2.1b	(*.f64 x (/.f64 (-.f64 1 y) z))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series7.0ms (0.1%)

Counts

3 → 84

Calls

24 calls:

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

rewrite236.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`rational.json-simplify-49`
694×	`rational.json-simplify-1`
682×	`rational.json-simplify-35`
662×	`rational.json-simplify-44`
624×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	108	57
2	326	57
3	726	57
4	1769	57
5	6327	57

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

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

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

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

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1718×	`rational.json-simplify-35`
956×	`rational.json-simplify-51`
818×	`rational.json-simplify-61`
760×	`rational.json-simplify-44`
706×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	6552
1	1631	6374
2	5712	6328

Stop Event

1×	node limit

Counts

292 → 275

Calls

Call 1

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 y) z)
	2.1b	(*.f64 x (/.f64 (-.f64 1 y) z))

Compiler

Compiled 22 to 13 computations (40.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z x) z)
✓	0.1b	(*.f64 y (/.f64 (-.f64 z x) z))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite157.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`rational.json-simplify-49`
656×	`rational.json-simplify-44`
622×	`rational.json-simplify-47`
612×	`rational.json-simplify-1`
612×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	81	32
2	247	32
3	606	32
4	1522	32
5	5824	32
6	7786	32

Stop Event

1×	node limit

Counts

2 → 199

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1674×	`rational.json-simplify-35`
940×	`rational.json-simplify-51`
850×	`rational.json-simplify-61`
770×	`rational.json-simplify-44`
670×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	5343
1	1542	5159
2	5538	4959

Stop Event

1×	node limit

Counts

259 → 242

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.5b	(*.f64 (-.f64 1 y) (/.f64 x z))

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`rational.json-simplify-44`
688×	`rational.json-simplify-49`
680×	`rational.json-simplify-35`
644×	`rational.json-simplify-47`
588×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	98	19
2	306	19
3	684	19
4	1656	19
5	6208	19

Stop Event

1×	node limit

Counts

1 → 136

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1578×	`rational.json-simplify-35`
1402×	`rational.json-simplify-2`
882×	`rational.json-simplify-61`
816×	`rational.json-simplify-51`
716×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	3520
1	1363	3498
2	5120	3486
3	7595	3486

Stop Event

1×	node limit

Counts

172 → 152

Calls

Call 1

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

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

eval206.0ms (1.6%)

Compiler: Compiled 12154 to 7133 computations (41.3% saved)

prune187.0ms (1.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	903	7	910
Fresh	2	1	3
Picked	1	0	1
Done	1	3	4
Total	907	11	918

Error

Counts

918 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(/.f64 (-.f64 z x) (/.f64 z y))
	29.9b	(/.f64 (-.f64 1 y) (/.f64 z x))
▶	25.0b	(/.f64 y (/.f64 z (-.f64 z x)))
✓	37.8b	(/.f64 x z)
▶	8.7b	(+.f64 y (/.f64 x z))
✓	25.0b	(*.f64 y (/.f64 (-.f64 z x) z))
▶	54.5b	(*.f64 y (neg.f64 (/.f64 x z)))
✓	31.0b	(*.f64 x (/.f64 (-.f64 1 y) z))
▶	55.6b	(*.f64 x (/.f64 y (neg.f64 z)))
▶	37.9b	(*.f64 x (/.f64 1 z))
	33.2b	y

Compiler

Compiled 158 to 104 computations (34.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`bool.json-1`
1748×	`bool.json-2`
1712×	`rational.json-1`
1712×	`rational.json-2`
1470×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	72	13
2	226	13
3	552	13
4	1410	13
5	4803	13

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify761.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

4028×	`rational.json-simplify-51`
2190×	`rational.json-simplify-49`
1966×	`rational.json-simplify-35`
1090×	`rational.json-simplify-1`
908×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	246
1	78	246
2	178	246
3	412	246
4	904	246
5	2080	246
6	2769	246
7	2827	246
8	2867	246
9	2900	246
10	2930	246
11	2960	246
12	2990	246
13	3020	246
14	3050	246
15	3080	246
16	3110	246
17	3140	246
18	3170	246
19	3200	246
20	3776	246
21	3812	246
22	3846	246
23	3878	246
24	3909	246
25	3940	246
26	4077	246
27	4108	246
28	4139	246
29	4170	246
30	4201	246
31	4232	246
32	4263	246
33	4294	246
34	4325	246
35	4356	246
36	4387	246
37	4418	246
38	4449	246
39	4480	246
40	4480	246

Stop Event

1×	node limit

Counts

24 → 19

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 1 z))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(*.f64 x (/.f64 1 z))
0.0ms	x	@	-inf	(*.f64 x (/.f64 1 z))
0.0ms	z	@	-inf	(*.f64 x (/.f64 1 z))
0.0ms	x	@	inf	(*.f64 x (/.f64 1 z))
0.0ms	z	@	inf	(*.f64 x (/.f64 1 z))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`rational.json-simplify-35`
1098×	`bool.json-1`
1098×	`bool.json-2`
1062×	`rational.json-1`
1062×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	80	7
2	254	7
3	539	7
4	1199	7
5	3383	7

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1738×	`rational.json-simplify-53`
1422×	`rational.json-simplify-35`
1288×	`rational.json-simplify-51`
978×	`rational.json-simplify-49`
962×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	665
1	519	665
2	1633	665
3	4910	665

Stop Event

1×	node limit

Counts

89 → 69

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.3b	(*.f64 x (/.f64 y (neg.f64 z)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(*.f64 x (/.f64 y (neg.f64 z)))
1.0ms	z	@	0	(*.f64 x (/.f64 y (neg.f64 z)))
1.0ms	x	@	0	(*.f64 x (/.f64 y (neg.f64 z)))
0.0ms	y	@	0	(*.f64 x (/.f64 y (neg.f64 z)))
0.0ms	z	@	inf	(*.f64 x (/.f64 y (neg.f64 z)))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`bool.json-1`
1468×	`bool.json-2`
1430×	`rational.json-1`
1430×	`rational.json-2`
1430×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	94	17
2	289	17
3	730	17
4	2053	17
5	5042	17

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational.json-simplify-2`
1136×	`rational.json-simplify-35`
956×	`rational.json-simplify-61`
924×	`rational.json-simplify-44`
906×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	1564
1	411	1402
2	1151	1402
3	4678	1402
4	7396	1402

Stop Event

1×	node limit

Counts

82 → 53

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.7b	(*.f64 y (neg.f64 (/.f64 x z)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`bool.json-1`
1620×	`bool.json-2`
1582×	`rational.json-1`
1582×	`rational.json-2`
1226×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	94	17
2	294	17
3	781	17
4	2270	17
5	5788	17

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1302×	`rational.json-simplify-2`
1246×	`rational.json-simplify-47`
1198×	`rational.json-simplify-44`
1196×	`rational.json-simplify-41`
850×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	1197
1	290	1071
2	839	1071
3	4206	1071
4	5907	1071

Stop Event

1×	node limit

Counts

63 → 29

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 z x))
✓	0.1b	(/.f64 y (/.f64 z (-.f64 z x)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`rational.json-simplify-35`
1242×	`bool.json-1`
1242×	`bool.json-2`
1216×	`rational.json-1`
1216×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	89	32
2	340	32
3	1051	32
4	3655	32

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify168.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational.json-simplify-41`
948×	`rational.json-simplify-2`
762×	`rational.json-simplify-55`
754×	`rational.json-simplify-1`
646×	`rational.json-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	178	3082
1	370	2950
2	867	2926
3	2885	2908
4	4809	2902
5	6541	2830
6	7734	2830

Stop Event

1×	node limit

Counts

136 → 125

Calls

Call 1

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

eval58.0ms (0.4%)

Compiler: Compiled 3234 to 1651 computations (48.9% saved)

prune52.0ms (0.4%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	291	4	295
Fresh	0	3	3
Picked	0	1	1
Done	1	6	7
Total	292	14	306

Error

Counts

306 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(/.f64 (-.f64 z x) (/.f64 z y))
▶	29.9b	(/.f64 (-.f64 1 y) (/.f64 z x))
▶	54.5b	(/.f64 (neg.f64 y) (/.f64 z x))
▶	55.3b	(/.f64 (neg.f64 x) (/.f64 z y))
✓	25.0b	(/.f64 y (/.f64 z (-.f64 z x)))
✓	37.8b	(/.f64 x z)
▶	37.8b	(/.f64 1 (/.f64 z x))
✓	8.7b	(+.f64 y (/.f64 x z))
✓	25.0b	(*.f64 y (/.f64 (-.f64 z x) z))
✓	54.5b	(*.f64 y (neg.f64 (/.f64 x z)))
✓	31.0b	(*.f64 x (/.f64 (-.f64 1 y) z))
✓	37.9b	(*.f64 x (/.f64 1 z))
▶	56.1b	(neg.f64 (/.f64 (*.f64 y x) z))
	33.2b	y

Compiler

Compiled 175 to 117 computations (33.1% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.8b	(/.f64 (-.f64 1 y) (/.f64 z x))

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`rational.json-simplify-35`
1114×	`bool.json-1`
1114×	`bool.json-2`
1086×	`rational.json-1`
1086×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	102	19
2	362	19
3	1004	19
4	3103	19

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-35`
1346×	`rational.json-simplify-2`
1138×	`rational.json-simplify-51`
798×	`rational.json-simplify-41`
694×	`rational.json-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	98	1578
1	206	1556
2	455	1556
3	1534	1556
4	4189	1502
5	7082	1502

Stop Event

1×	node limit

Counts

78 → 53

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 z x))

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 1 (/.f64 z x))
0.0ms	x	@	0	(/.f64 1 (/.f64 z x))
0.0ms	z	@	inf	(/.f64 1 (/.f64 z x))
0.0ms	z	@	-inf	(/.f64 1 (/.f64 z x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 z x))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2056×	`bool.json-1`
2056×	`bool.json-2`
1696×	`bool.json-3`
818×	`rational.json-simplify-46`
804×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	83	7
2	289	7
3	702	7
4	1808	7
5	5642	7

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(/.f64 1 (/.f64 z x))

Outputs

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

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational.json-simplify-19`
962×	`rational.json-simplify-2`
934×	`rational.json-simplify-35`
814×	`rational.json-simplify-1`
770×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	619
1	233	613
2	525	571
3	1712	565
4	4012	565
5	6808	565

Stop Event

1×	node limit

Counts

67 → 54

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`bool.json-1`
1480×	`bool.json-2`
1448×	`rational.json-1`
1448×	`rational.json-2`
1448×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	74	13
2	249	13
3	677	13
4	2036	13
5	5135	13

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1066×	`rational.json-simplify-35`
970×	`rational.json-simplify-53`
962×	`rational.json-simplify-43`
918×	`rational.json-simplify-50`
700×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	598
1	208	598
2	454	598
3	890	598
4	2544	598
5	4646	598
6	5610	598
7	6731	598

Stop Event

1×	node limit

Counts

46 → 46

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.4b	(/.f64 (neg.f64 x) (/.f64 z y))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`bool.json-1`
1482×	`bool.json-2`
1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	98	17
2	349	17
3	1118	17
4	4379	17

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-2`
874×	`rational.json-simplify-1`
858×	`rational.json-simplify-38`
750×	`rational.json-simplify-53`
662×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	1634
1	311	1462
2	705	1462
3	2460	1462
4	3787	1462
5	5586	1462
6	7021	1462

Stop Event

1×	node limit

Counts

86 → 51

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.7b	(/.f64 (neg.f64 y) (/.f64 z x))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`bool.json-1`
1482×	`bool.json-2`
1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	98	17
2	349	17
3	1118	17
4	4379	17

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational.json-simplify-2`
874×	`rational.json-simplify-1`
858×	`rational.json-simplify-38`
750×	`rational.json-simplify-53`
664×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1462
1	310	1462
2	705	1462
3	2463	1462
4	3787	1462
5	5587	1462
6	7028	1462

Stop Event

1×	node limit

Counts

86 → 53

Calls

Call 1

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

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

eval45.0ms (0.3%)

Compiler: Compiled 2315 to 1197 computations (48.3% saved)

prune40.0ms (0.3%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	2	2
Picked	0	1	1
Done	0	11	11
Total	257	14	271

Error

Counts

271 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(/.f64 (-.f64 z x) (/.f64 z y))
✓	29.9b	(/.f64 (-.f64 1 y) (/.f64 z x))
✓	54.5b	(/.f64 (neg.f64 y) (/.f64 z x))
✓	55.3b	(/.f64 (neg.f64 x) (/.f64 z y))
✓	25.0b	(/.f64 y (/.f64 z (-.f64 z x)))
✓	37.8b	(/.f64 x z)
✓	37.8b	(/.f64 1 (/.f64 z x))
✓	8.7b	(+.f64 y (/.f64 x z))
✓	25.0b	(*.f64 y (/.f64 (-.f64 z x) z))
✓	54.5b	(*.f64 y (neg.f64 (/.f64 x z)))
✓	31.0b	(*.f64 x (/.f64 (-.f64 1 y) z))
✓	37.9b	(*.f64 x (/.f64 1 z))
✓	56.1b	(neg.f64 (/.f64 (*.f64 y x) z))
	33.2b	y

Compiler

Compiled 120 to 80 computations (33.3% saved)

regimes104.0ms (0.8%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	z
28.0ms	x
25.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
19.0ms	y

Results

Error	Segments	Branch
1.1b	3	`x`
0.7b	2	`y`
0.1b	3	`z`
0.1b	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 158 to 74 computations (53.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.272754054981483e+302	+inf
0.0ms	-inf	-1.3082698763647642e+307

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes57.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
18.0ms	y
10.0ms	z

Results

Error	Segments	Branch
1.1b	3	`x`
0.7b	2	`y`
2.2b	1	`z`

Compiler

Compiled 122 to 57 computations (53.3% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-1.4512539421481202e+25	-16376857399080.049

Results

16.0ms	160×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 258 to 172 computations (33.3% saved)

regimes100.0ms (0.8%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	x
33.0ms	z
24.0ms	y

Results

Error	Segments	Branch
5.1b	5	`x`
0.7b	3	`y`
6.5b	3	`z`

Compiler

Compiled 113 to 52 computations (54% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.026398783842566102	0.06720536667445366
18.0ms	-1.4512539421481202e+25	-16376857399080.049

Results

23.0ms	240×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 318 to 207 computations (34.9% saved)

regimes85.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	x
29.0ms	z
21.0ms	y

Results

Error	Segments	Branch
5.1b	5	`x`
0.7b	3	`y`
6.5b	3	`z`

Compiler

Compiled 85 to 43 computations (49.4% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.026398783842566102	0.06720536667445366
18.0ms	-1.4512539421481202e+25	-16376857399080.049

Results

24.0ms	240×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 318 to 207 computations (34.9% saved)

regimes56.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
18.0ms	z
18.0ms	x

Results

Error	Segments	Branch
6.2b	3	`x`
7.4b	3	`y`
7.5b	3	`z`

Compiler

Compiled 71 to 37 computations (47.9% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.5120004067692556e+127	1.1369776770474366e+137
18.0ms	-1.16993244427057e+140	-8.543165389433283e+135

Results

27.0ms	288×	body	256	valid
6.0ms	69×	body	256	infinite

Compiler

Compiled 378 to 264 computations (30.2% saved)

regimes32.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	y
6.0ms	z
6.0ms	x

Results

Error	Segments	Branch
8.7b	1	`x`
7.4b	3	`y`
8.7b	1	`z`

Compiler

Compiled 64 to 33 computations (48.4% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3.012162297019236e+39	8.990656932885306e+41
14.0ms	313869128207795460.0	1.490304861890106e+22

Results

24.0ms	256×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 290 to 204 computations (29.7% saved)

regimes28.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	y
6.0ms	z
6.0ms	x

Results

Error	Segments	Branch
8.7b	1	`x`
7.4b	3	`y`
8.7b	1	`z`

Compiler

Compiled 52 to 28 computations (46.2% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3.012162297019236e+39	8.990656932885306e+41
14.0ms	313869128207795460.0	1.490304861890106e+22

Results

24.0ms	256×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 290 to 204 computations (29.7% saved)

regimes16.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f64 y (/.f64 x z))

Calls

3 calls:

5.0ms	z
5.0ms	x
5.0ms	y

Results

Error	Segments	Branch
8.7b	1	`x`
8.7b	1	`y`
8.7b	1	`z`

Compiler

Compiled 40 to 23 computations (42.5% saved)

regimes178.0ms (1.3%)

Accuracy

Total -45.2b remaining (-270%)

Threshold costs -45.2b (-270%)

Counts

3 → 5

Calls

Call 1

Inputs
y
(/.f64 x z)
(*.f64 x (/.f64 1 z))

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

Calls

3 calls:

147.0ms	x
16.0ms	y
13.0ms	z

Results

Error	Segments	Branch
21.3b	3	`x`
16.8b	5	`y`
24.0b	3	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch650.0ms (4.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
133.0ms	7.1268873656488785e-25	7.056116651035754e-22
10.0ms	4.566877989755976e-159	6.201622788465068e-158
120.0ms	4.4822753371763704e-213	1.206083803199054e-212
387.0ms	-7.621963288772947e-76	-1.3468562887676238e-83

Results

645.0ms

448×

body

256

valid

Compiler

Compiled 354 to 264 computations (25.4% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	554

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) -inf.0) (.f64 y (/.f64 (-.f64 z x) z)) (if (<=.f64 (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) 400000000000000030518812316339579701389387420602627246806406936824845521152503177936568755858767136306558990308554195045488841551379199753167262445402079323000670599425955926506145472381658429256940604233493835947563300622636254470863452821130489562037136733759434468412334942695399596818281992630042624) (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) (/.f64 y (/.f64 z (-.f64 z x)))))
(if (<=.f64 y -8200000000000000) (.f64 y (/.f64 (-.f64 z x) z)) (+.f64 y (.f64 x (/.f64 (-.f64 1 y) z))))
(if (<=.f64 y -16500000000000) (*.f64 y (/.f64 (-.f64 z x) z)) (if (<=.f64 y 1170935903116329/18014398509481984) (+.f64 y (/.f64 x z)) (/.f64 y (/.f64 z (-.f64 z x)))))
(if (<=.f64 y -16500000000000) (.f64 y (/.f64 (-.f64 z x) z)) (if (<=.f64 y 1170935903116329/18014398509481984) (+.f64 y (/.f64 x z)) (.f64 y (/.f64 (-.f64 z x) z))))
(if (<=.f64 x -35999999999999998538072374450382943035871220257861861724824551488190015109761186741960882417352803555865340413374468290466497562738180489216) (.f64 x (/.f64 (-.f64 1 y) z)) (if (<=.f64 x 3899999999999999716002673831923759561019821884026924184735602279486595683421590134436020282115085272531571381610768395545702563840) (+.f64 y (/.f64 x z)) (.f64 x (/.f64 (-.f64 1 y) z))))
(if (<=.f64 y 13500000000000001048576) (+.f64 y (/.f64 x z)) (if (<=.f64 y 7599999999999999602235955404915615989760) (/.f64 (neg.f64 x) (/.f64 z y)) y))
(if (<=.f64 y 260000000000000000000) (+.f64 y (/.f64 x z)) (if (<=.f64 y 3050000000000000110788625964455556022272) (*.f64 x (/.f64 y (neg.f64 z))) y))
(+.f64 y (/.f64 x z))
(if (<=.f64 y -1067993517960455/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) y (if (<=.f64 y 4548392848537233/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 x z) (if (<=.f64 y 4550879387105123/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) y (if (<=.f64 y 3998317811321027/170141183460469231731687303715884105728) (/.f64 x z) y))))
y

Outputs
(if (<=.f64 (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) -inf.0) (.f64 y (/.f64 (-.f64 z x) z)) (if (<=.f64 (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) 400000000000000030518812316339579701389387420602627246806406936824845521152503177936568755858767136306558990308554195045488841551379199753167262445402079323000670599425955926506145472381658429256940604233493835947563300622636254470863452821130489562037136733759434468412334942695399596818281992630042624) (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) (/.f64 y (/.f64 z (-.f64 z x)))))
(if (<=.f64 y -8200000000000000) (.f64 y (/.f64 (-.f64 z x) z)) (+.f64 y (.f64 x (/.f64 (-.f64 1 y) z))))
(if (<=.f64 y -16500000000000) (*.f64 y (/.f64 (-.f64 z x) z)) (if (<=.f64 y 1170935903116329/18014398509481984) (+.f64 y (/.f64 x z)) (/.f64 y (/.f64 z (-.f64 z x)))))
(if (<=.f64 y -16500000000000) (.f64 y (/.f64 (-.f64 z x) z)) (if (<=.f64 y 1170935903116329/18014398509481984) (+.f64 y (/.f64 x z)) (.f64 y (/.f64 (-.f64 z x) z))))
(if (<=.f64 x -35999999999999998538072374450382943035871220257861861724824551488190015109761186741960882417352803555865340413374468290466497562738180489216) (.f64 x (/.f64 (-.f64 1 y) z)) (if (<=.f64 x 3899999999999999716002673831923759561019821884026924184735602279486595683421590134436020282115085272531571381610768395545702563840) (+.f64 y (/.f64 x z)) (.f64 x (/.f64 (-.f64 1 y) z))))
(if (<=.f64 y 13500000000000001048576) (+.f64 y (/.f64 x z)) (if (<=.f64 y 7599999999999999602235955404915615989760) (/.f64 (neg.f64 x) (/.f64 z y)) y))
(if (<=.f64 y 260000000000000000000) (+.f64 y (/.f64 x z)) (if (<=.f64 y 3050000000000000110788625964455556022272) (*.f64 x (/.f64 y (neg.f64 z))) y))
(+.f64 y (/.f64 x z))
(if (<=.f64 y -1067993517960455/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) y (if (<=.f64 y 4548392848537233/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 x z) (if (<=.f64 y 4550879387105123/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) y (if (<=.f64 y 3998317811321027/170141183460469231731687303715884105728) (/.f64 x z) y))))
y

Compiler

Compiled 249 to 132 computations (47% saved)

soundness205.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1244×	`rational.json-simplify-2`
1244×	`rational.json-simplify-2`
820×	`rational.json-simplify-1`
820×	`rational.json-simplify-1`
766×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	3742
1	416	3532
2	953	3428
3	3206	3410
4	5893	3410
0	176	3742
1	416	3532
2	953	3428
3	3206	3410
4	5893	3410

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 48 to 20 computations (58.3% saved)

end244.0ms (1.8%)

Compiler: Compiled 222 to 83 computations (62.6% saved)