Details

analyze167.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
29.7%	29.6%	70.2%	0.1%	0%	0%	0%	9
42.2%	42.1%	57.7%	0.1%	0%	0%	0%	10
47.7%	47.6%	52.1%	0.1%	0.2%	0%	0%	11
54.7%	53.8%	44.6%	0.1%	1.5%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample4.3s (23.4%)

Results

4.0s	8256×	body	256	valid
282.0ms	1984×	body	256	infinite

Bogosity

preprocess2.3s (12.9%)

Algorithm

2×	egg-herbie

Rules

23490×	`rational.json-simplify-41`
3388×	`rational.json-simplify-1`
1304×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	32	76
2	43	76
3	68	76
4	121	76
5	274	76
6	711	76
7	949	76
8	960	76
9	971	76
10	982	76
11	993	76
12	1004	76
13	1015	76
14	1026	76
15	1037	76
16	1048	76
17	1059	76
18	1070	76
19	1081	76
20	1092	76
21	1103	76
22	3181	76
23	3192	76
24	3203	76
25	3214	76
26	3225	76
27	3236	76
28	3247	76
29	3258	76
30	3269	76
31	3280	76
32	3291	76
33	3302	76
34	3313	76
35	3324	76
36	3335	76
37	3346	76
38	4622	76
39	4633	76
40	4644	76
41	4655	76
42	4666	76
43	4677	76
44	4688	76
45	4699	76
46	4710	76
47	4721	76
48	4732	76
49	4743	76
50	4754	76
51	4765	76
52	4776	76
53	4787	76
54	4798	76
55	4809	76
56	4820	76
57	4831	76
58	4842	76
59	4853	76
60	4864	76
61	4875	76
62	4886	76
63	4897	76
64	4908	76
65	4919	76
66	4930	76
67	4941	76
68	4952	76
69	4963	76
70	4974	76
71	4985	76
72	4996	76
73	5007	76
74	5018	76
75	5029	76
76	5040	76
77	5051	76
78	5062	76
79	5073	76
80	5084	76
81	5095	76
82	5106	76
83	5117	76
84	5128	76
85	5139	76
86	5150	76
87	5161	76
88	5172	76
89	5183	76
90	5194	76
91	5205	76
92	5216	76
93	5227	76
94	5238	76
95	5249	76
96	5260	76
97	5271	76
98	5282	76
99	5293	76
100	5304	76
101	5315	76
102	5326	76
103	5337	76
104	5348	76
105	5359	76
106	5370	76
107	5381	76
108	5392	76
109	5403	76
110	5414	76
111	5425	76
112	5436	76
113	5447	76
114	5458	76
115	5469	76
116	5480	76
117	5491	76
118	5502	76
119	5513	76
120	5524	76
121	5535	76
122	5546	76
123	5557	76
124	5568	76
125	5579	76
126	5590	76
127	5601	76
128	5612	76
129	5623	76
130	5634	76
131	5645	76
132	5656	76
133	5667	76
134	5678	76
135	5689	76
136	5700	76
137	5711	76
138	5722	76
139	5733	76
140	5744	76
141	5755	76
142	5766	76
143	5777	76
144	5788	76
145	5799	76
146	5810	76
147	5821	76
148	5832	76
149	5843	76
150	5854	76
151	5865	76
152	5876	76
153	5887	76
154	5898	76
155	5909	76
156	5920	76
157	5931	76
158	5942	76
159	5953	76
160	5964	76
161	5975	76
162	5986	76
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 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify6.3s (34.4%)

Algorithm

1×	egg-herbie

Rules

25424×	`rational.json-simplify-41`
2290×	`rational.json-simplify-1`
648×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	12	19
2	15	19
3	22	19
4	37	19
5	81	19
6	206	19
7	608	19
8	768	19
9	771	19
10	774	19
11	777	19
12	780	19
13	783	19
14	786	19
15	789	19
16	792	19
17	795	19
18	798	19
19	801	19
20	804	19
21	807	19
22	810	19
23	2619	19
24	2622	19
25	2625	19
26	2628	19
27	2631	19
28	2634	19
29	3423	19
30	3426	19
31	3429	19
32	3432	19
33	3435	19
34	3438	19
35	3441	19
36	3444	19
37	3447	19
38	3450	19
39	3453	19
40	3456	19
41	3459	19
42	3462	19
43	3465	19
44	3468	19
45	3471	19
46	3474	19
47	3477	19
48	3480	19
49	3483	19
50	3486	19
51	3489	19
52	3492	19
53	3495	19
54	3498	19
55	3501	19
56	3504	19
57	3507	19
58	3510	19
59	3513	19
60	3516	19
61	3519	19
62	3522	19
63	3525	19
64	3528	19
65	3531	19
66	3534	19
67	3537	19
68	3540	19
69	3543	19
70	3546	19
71	3549	19
72	3552	19
73	3555	19
74	3558	19
75	3561	19
76	3564	19
77	3567	19
78	3570	19
79	3573	19
80	3576	19
81	3579	19
82	3582	19
83	3585	19
84	3588	19
85	3591	19
86	3594	19
87	3597	19
88	3600	19
89	3603	19
90	3606	19
91	3609	19
92	3612	19
93	3615	19
94	3618	19
95	3621	19
96	3624	19
97	3627	19
98	3630	19
99	3633	19
100	3636	19
101	3639	19
102	3642	19
103	3645	19
104	3648	19
105	3651	19
106	3654	19
107	3657	19
108	3660	19
109	3663	19
110	3666	19
111	3669	19
112	3672	19
113	3675	19
114	3678	19
115	3681	19
116	3684	19
117	3687	19
118	3690	19
119	3693	19
120	3696	19
121	3699	19
122	3702	19
123	3705	19
124	3708	19
125	3711	19
126	3714	19
127	3717	19
128	3720	19
129	3723	19
130	3726	19
131	3729	19
132	3732	19
133	3735	19
134	3738	19
135	3741	19
136	3744	19
137	3747	19
138	3750	19
139	3753	19
140	3756	19
141	3759	19
142	3762	19
143	3765	19
144	3768	19
145	3771	19
146	3774	19
147	3777	19
148	3780	19
149	3783	19
150	3786	19
151	3789	19
152	3792	19
153	3795	19
154	3798	19
155	3801	19
156	3804	19
157	3807	19
158	3810	19
159	3813	19
160	3816	19
161	3819	19
162	3822	19
163	3825	19
164	3828	19
165	3831	19
166	3834	19
167	3837	19
168	3840	19
169	3843	19
170	3846	19
171	3849	19
172	3852	19
173	3855	19
174	3858	19
175	3861	19
176	3864	19
177	3867	19
178	3870	19
179	3873	19
180	3876	19
181	3879	19
182	3882	19
183	3885	19
184	3888	19
185	3891	19
186	3894	19
187	3897	19
188	3900	19
189	3903	19
190	3906	19
191	3909	19
192	3912	19
193	3915	19
194	3918	19
195	3921	19
196	3924	19
197	3927	19
198	3930	19
199	3933	19
200	3936	19
201	3939	19
202	3942	19
203	3945	19
204	3948	19
205	3951	19
206	3954	19
207	3957	19
208	3960	19
209	3963	19
210	3966	19
211	3969	19
212	3972	19
213	3975	19
214	3978	19
215	3981	19
216	3984	19
217	3987	19
218	3990	19
219	3993	19
220	3996	19
221	3999	19
222	4002	19
223	4005	19
224	4008	19
225	4011	19
226	4014	19
227	4017	19
228	4020	19
229	4023	19
230	4026	19
231	4029	19
232	4032	19
233	4035	19
234	4038	19
235	4041	19
236	4044	19
237	4047	19
238	4050	19
239	4053	19
240	4056	19
241	4059	19
242	4062	19
243	4065	19
244	4068	19
245	4071	19
246	4074	19
247	4077	19
248	4080	19
249	4083	19
250	4086	19
251	4089	19
252	4092	19
253	4095	19
254	4098	19
255	4101	19
256	4104	19
257	4107	19
258	4110	19
259	4113	19
260	4116	19
261	4119	19
262	4122	19
263	4125	19
264	4128	19
265	4131	19
266	4134	19
267	4137	19
268	4140	19
269	4143	19
270	4146	19
271	4149	19
272	4152	19
273	4155	19
274	4158	19
275	4161	19
276	4164	19
277	4167	19
278	4170	19
279	4173	19
280	4176	19
281	4179	19
282	4182	19
283	4185	19
284	4188	19
285	4191	19
286	4194	19
287	4197	19
288	4200	19
289	4203	19
290	4206	19
291	4209	19
292	4212	19
293	4215	19
294	4218	19
295	4221	19
296	4224	19
297	4227	19
298	4230	19
299	4233	19
300	4236	19
301	4239	19
302	4242	19
303	4245	19
304	4248	19
305	4251	19
306	4254	19
307	4257	19
308	4260	19
309	4263	19
310	4266	19
311	4269	19
312	4272	19
313	4275	19
314	4278	19
315	4281	19
316	4284	19
317	4287	19
318	4290	19
319	4293	19
320	4296	19
321	4299	19
322	4302	19
323	4305	19

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0%)

Counts

2 → 60

Calls

18 calls:

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

rewrite170.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`bool.json-1`
1848×	`bool.json-2`
1812×	`rational.json-1`
1546×	`bool.json-3`
570×	`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	1508	32
5	4979	32

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

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

Outputs

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

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

simplify205.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational.json-simplify-2`
1168×	`rational.json-simplify-54`
960×	`rational.json-simplify-50`
876×	`rational.json-simplify-61`
756×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	3002
1	403	2936
2	1008	2798
3	4035	2798
4	6464	2798

Stop Event

1×	node limit

Counts

128 → 121

Calls

Call 1

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

eval22.0ms (0.1%)

Compiler: Compiled 1670 to 689 computations (58.7% saved)

prune22.0ms (0.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	8	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	8	122

Error

Counts

122 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.8b	(/.f64 (-.f64 y x) z)
▶	0.0b	(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
▶	23.3b	(-.f64 x (/.f64 x z))
▶	13.0b	(+.f64 x (/.f64 y z))
	23.6b	(+.f64 x (.f64 (/.f64 z (-.f64 y x)) (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x))))))
▶	23.4b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	0.2b	(.f64 1/2 (+.f64 x (+.f64 x (.f64 (-.f64 y x) (/.f64 2 z)))))
	35.7b	x

Compiler

Compiled 172 to 103 computations (40.1% saved)

localize79.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts

1 → 30

Calls

9 calls:

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

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`rational.json-simplify-35`
846×	`rational.json-simplify-61`
736×	`bool.json-1`
736×	`bool.json-2`
712×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	94	25
2	300	25
3	776	25
4	2147	25
5	6734	25

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

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

Outputs

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

simplify210.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1648×	`rational.json-simplify-35`
1112×	`rational.json-simplify-2`
926×	`rational.json-simplify-46`
836×	`rational.json-simplify-1`
798×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	1361
1	169	1337
2	343	1337
3	861	1307
4	1966	1307
5	3065	1307
6	4527	1307
7	5834	1307
8	7036	1307
9	7645	1307

Stop Event

1×	node limit

Counts

59 → 44

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`bool.json-1`
1724×	`bool.json-2`
1688×	`rational.json-1`
1688×	`rational.json-2`
1460×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	62	13
2	208	13
3	529	13
4	1364	13
5	4712	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1870×	`rational.json-simplify-35`
1216×	`rational.json-simplify-2`
1132×	`rational.json-simplify-1`
1120×	`rational.json-simplify-45`
788×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1040
1	161	1038
2	314	1038
3	673	726
4	1774	726
5	3251	726
6	4202	726
7	4622	726
8	5814	726

Stop Event

1×	node limit

Counts

56 → 42

Calls

Call 1

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

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

localize40.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 1 (/.f64 1 z)) x)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`bool.json-1`
1876×	`bool.json-2`
1006×	`rational.json-simplify-35`
880×	`rational.json-1`
880×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	89	19
2	274	19
3	579	19
4	1197	19
5	2930	19
6	7320	19

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify194.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2212×	`rational.json-simplify-2`
1656×	`rational.json-simplify-35`
1050×	`rational.json-simplify-46`
924×	`rational.json-simplify-61`
820×	`rational.json-simplify-1`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	38	376
1	85	356
2	171	356
3	406	356
4	1567	356
5	2992	356
6	3836	356
7	4329	356
8	4745	356
9	5682	356
10	6896	320
11	7836	320

Stop Event

1×	node limit

Counts

22 → 20

Calls

Call 1

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

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

eval36.0ms (0.2%)

Compiler: Compiled 2165 to 907 computations (58.1% saved)

prune34.0ms (0.2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	189	6	195
Fresh	2	1	3
Picked	0	1	1
Done	1	3	4
Total	192	11	203

Error

Counts

203 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.8b	(/.f64 (-.f64 y x) z)
▶	50.0b	(/.f64 (neg.f64 x) z)
▶	39.3b	(/.f64 y z)
✓	23.3b	(-.f64 x (/.f64 x z))
▶	26.8b	(+.f64 (neg.f64 (/.f64 x z)) (/.f64 y z))
✓	13.0b	(+.f64 x (/.f64 y z))
	46.4b	(.f64 (/.f64 z (-.f64 y x)) (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))))
▶	26.9b	(*.f64 (/.f64 1 z) (-.f64 y x))
✓	23.4b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
▶	23.4b	(.f64 1/2 (+.f64 x (-.f64 x (.f64 x (/.f64 2 z)))))
	35.7b	x

Compiler

Compiled 174 to 108 computations (37.9% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`rational.json-simplify-35`
1180×	`bool.json-1`
1180×	`bool.json-2`
1140×	`rational.json-1`
1140×	`rational.json-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	92	57
2	263	57
3	600	57
4	1371	57
5	3591	51

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1042×	`rational.json-simplify-49`
1016×	`rational.json-simplify-54`
1008×	`rational.json-simplify-44`
952×	`rational.json-simplify-41`
916×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	231	3339
1	575	3327
2	1421	3327
3	5414	3327

Stop Event

1×	node limit

Counts

181 → 143

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize6.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 z) (-.f64 y 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 z) (-.f64 y x))
0.0ms	z	@	-inf	(*.f64 (/.f64 1 z) (-.f64 y x))
0.0ms	z	@	0	(*.f64 (/.f64 1 z) (-.f64 y x))
0.0ms	y	@	0	(*.f64 (/.f64 1 z) (-.f64 y x))
0.0ms	y	@	inf	(*.f64 (/.f64 1 z) (-.f64 y x))

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`rational.json-simplify-35`
1242×	`bool.json-1`
1242×	`bool.json-2`
1206×	`rational.json-1`
1206×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	98	13
2	294	13
3	628	13
4	1399	13
5	3845	13

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational.json-simplify-35`
1346×	`rational.json-simplify-61`
1182×	`rational.json-simplify-2`
1150×	`rational.json-simplify-51`
884×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	165	1524
1	503	1482
2	1491	1482
3	5452	1482

Stop Event

1×	node limit

Counts

102 → 71

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`bool.json-1`
1864×	`bool.json-2`
1386×	`bool.json-3`
1132×	`rational.json-simplify-35`
856×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	105	23
2	329	23
3	880	23
4	2670	23
5	6564	23

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1206×	`rational.json-simplify-2`
1180×	`rational.json-simplify-46`
848×	`rational.json-simplify-49`
720×	`rational.json-simplify-1`
600×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1235
1	177	1185
2	399	1089
3	1126	1089
4	3552	1089
5	5488	1089
6	6319	1089
7	7267	1089

Stop Event

1×	node limit

Counts

59 → 39

Calls

Call 1

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

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

eval115.0ms (0.6%)

Compiler: Compiled 3341 to 2034 computations (39.1% saved)

prune77.0ms (0.4%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	251	2	253
Fresh	1	1	2
Picked	1	0	1
Done	1	7	8
Total	254	10	264

Error

Counts

264 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.0b	(/.f64 (/.f64 2 z) (/.f64 2 (-.f64 y x)))
✓	26.8b	(/.f64 (-.f64 y x) z)
✓	50.0b	(/.f64 (neg.f64 x) z)
✓	39.3b	(/.f64 y z)
▶	26.9b	(/.f64 1 (/.f64 z (-.f64 y x)))
✓	23.3b	(-.f64 x (/.f64 x z))
✓	13.0b	(+.f64 x (/.f64 y z))
✓	23.4b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
✓	23.4b	(.f64 1/2 (+.f64 x (-.f64 x (.f64 x (/.f64 2 z)))))
	35.7b	x

Compiler

Compiled 87 to 61 computations (29.9% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 y x))
✓	0.5b	(/.f64 1 (/.f64 z (-.f64 y x)))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

18 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2032×	`bool.json-1`
2032×	`bool.json-2`
1592×	`bool.json-3`
1094×	`rational.json-simplify-46`
932×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	104	26
2	356	26
3	852	26
4	2266	26
5	6187	26

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify199.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational.json-simplify-35`
1144×	`rational.json-simplify-2`
892×	`rational.json-simplify-46`
884×	`rational.json-simplify-41`
740×	`rational.json-simplify-53`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	157	2818
1	327	2698
2	701	2638
3	1961	2584
4	4353	2578
5	6726	2572

Stop Event

1×	node limit

Counts

124 → 103

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (-.f64 y x))
✓	0.4b	(/.f64 (/.f64 2 z) (/.f64 2 (-.f64 y x)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`rational.json-simplify-35`
1078×	`bool.json-1`
1078×	`bool.json-2`
1040×	`rational.json-1`
1040×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	115	26
2	434	26
3	1341	26
4	3584	26

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify189.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1118×	`rational.json-simplify-43`
910×	`rational.json-simplify-35`
858×	`rational.json-simplify-2`
826×	`rational.json-simplify-41`
822×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	2938
1	423	2806
2	887	2752
3	1777	2734
4	5019	2734
5	7493	2734

Stop Event

1×	node limit

Counts

136 → 112

Calls

Call 1

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

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

eval50.0ms (0.3%)

Compiler: Compiled 2971 to 1824 computations (38.6% saved)

prune34.0ms (0.2%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	215	10	225

Error

Counts

225 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.0b	(/.f64 (/.f64 2 z) (/.f64 2 (-.f64 y x)))
✓	26.8b	(/.f64 (-.f64 y x) z)
✓	50.0b	(/.f64 (neg.f64 x) z)
✓	39.3b	(/.f64 y z)
✓	26.9b	(/.f64 1 (/.f64 z (-.f64 y x)))
✓	23.3b	(-.f64 x (/.f64 x z))
✓	13.0b	(+.f64 x (/.f64 y z))
✓	23.4b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
✓	23.4b	(.f64 1/2 (+.f64 x (-.f64 x (.f64 x (/.f64 2 z)))))
	35.7b	x

Compiler

Compiled 87 to 61 computations (29.9% saved)

regimes40.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	y
9.0ms	z
8.0ms	x
8.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

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

Compiler

Compiled 162 to 65 computations (59.9% saved)

regimes52.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
17.0ms	x
15.0ms	z

Results

Error	Segments	Branch
8.3b	3	`x`
5.5b	3	`y`
0.7b	3	`z`

Compiler

Compiled 52 to 28 computations (46.2% saved)

bsearch26.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	4.9136024663393966e-5	33434.437833417665
12.0ms	-173808314.3210786	-22409128.908371586

Results

22.0ms

240×

body

256

valid

Compiler

Compiled 286 to 191 computations (33.2% saved)

regimes276.0ms (1.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

245.0ms	z
16.0ms	y
13.0ms	x

Results

Error	Segments	Branch
8.3b	3	`x`
5.5b	3	`y`
6.5b	9	`z`

Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	1.3293227447942222e-74	1.474722017229021e-68
8.0ms	-6.48077556178574e-77	-2.22372720243005e-77

Results

66.0ms

224×

body

256

valid

Compiler

Compiled 268 to 179 computations (33.2% saved)

regimes234.0ms (1.3%)

Counts

4 → 9

Calls

Call 1

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

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

Calls

3 calls:

205.0ms	z
18.0ms	x
10.0ms	y

Results

Error	Segments	Branch
10.1b	5	`x`
12.0b	3	`y`
6.5b	9	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch271.0ms (1.5%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
15.0ms	4.507337068922888e-48	4.352248393260974e-46
19.0ms	7.575477103592025e-80	6.054422142121674e-73
23.0ms	2.8809593489186787e-111	1.6062170899048228e-99
24.0ms	-3.947914206423242e-143	-5.034212277641491e-151
18.0ms	-3.048562198206085e-118	-2.0709553664761535e-124
149.0ms	-3.679435870388649e-98	-3.1179584524528774e-99
14.0ms	-1.3216056561213315e-44	-1.2074885520194785e-47
10.0ms	-7.980439068041546e-22	-5.644701360173411e-23

Results

233.0ms	1024×	body	256	valid
27.0ms	236×	body	256	infinite

Compiler

Compiled 1030 to 742 computations (28% saved)

regimes76.0ms (0.4%)

Counts

3 → 9

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	z
24.0ms	x
19.0ms	y

Results

Error	Segments	Branch
21.2b	8	`x`
25.8b	5	`y`
17.5b	9	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch593.0ms (3.3%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
398.0ms	8.4252378419164e+34	1.6516530961935828e+40
12.0ms	4.507337068922888e-48	4.352248393260974e-46
83.0ms	7.575477103592025e-80	6.054422142121674e-73
20.0ms	2.8809593489186787e-111	1.6062170899048228e-99
30.0ms	-3.947914206423242e-143	-5.034212277641491e-151
18.0ms	-3.048562198206085e-118	-2.0709553664761535e-124
18.0ms	-3.679435870388649e-98	-3.1179584524528774e-99
14.0ms	-1.4877216606678014e+44	-6.724312139128076e+37

Results

559.0ms	1088×	body	256	valid
20.0ms	212×	body	256	infinite

Compiler

Compiled 982 to 723 computations (26.4% saved)

regimes37.0ms (0.2%)

Accuracy

Total -39.1b remaining (-171.2%)

Threshold costs -39.1b (-171.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)

Outputs
x
(/.f64 y z)
x

Calls

3 calls:

15.0ms	x
11.0ms	z
10.0ms	y

Results

Error	Segments	Branch
24.6b	5	`x`
26.9b	3	`y`
22.9b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch80.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	8.4252378419164e+34	1.6516530961935828e+40
66.0ms	-1.4877216606678014e+44	-6.724312139128076e+37

Results

77.0ms

288×

body

256

valid

Compiler

Compiled 232 to 173 computations (25.4% saved)

simplify449.0ms (2.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	465

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z -23000000) (+.f64 x (/.f64 y z)) (if (<=.f64 z 1) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 y -1303703024854071/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (+.f64 x (/.f64 y z)) (if (<=.f64 y 8249995704154669/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(if (<=.f64 z -1754580954436089/5316911983139663491615228241121378304) (+.f64 x (/.f64 y z)) (if (<=.f64 z -822752278660603/12855504354071922204335696738729300820177623950262342682411008) (/.f64 (neg.f64 x) z) (if (<=.f64 z -2154797213865323/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (+.f64 x (/.f64 y z)) (if (<=.f64 z -2530561702507585/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (/.f64 (neg.f64 x) z) (if (<=.f64 z -1087225503244487/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312) (/.f64 y z) (if (<=.f64 z 2369224592144251/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (neg.f64 x) z) (if (<=.f64 z 4422160660305009/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (/.f64 y z) (if (<=.f64 z 6170642089954523/102844034832575377634685573909834406561420991602098741459288064) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))))))))
(if (<=.f64 z -1150000000000000059113909661398005186560) x (if (<=.f64 z -7141613623096499/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (/.f64 y z) (if (<=.f64 z -526958075114315/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (/.f64 (neg.f64 x) z) (if (<=.f64 z -686479766013061/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) (/.f64 y z) (if (<=.f64 z 8884592220540941/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 (neg.f64 x) z) (if (<=.f64 z 8020829156817039/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (/.f64 y z) (if (<=.f64 z 8021834716940879/205688069665150755269371147819668813122841983204197482918576128) (/.f64 (neg.f64 x) z) (if (<=.f64 z 44999999999999996153544530833428185088) (/.f64 y z) x))))))))
(if (<=.f64 z -2599999999999999900063346088055835535081472) x (if (<=.f64 z 145000000000000003347087320028752642048) (/.f64 y z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z -23000000) (+.f64 x (/.f64 y z)) (if (<=.f64 z 1) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
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x

Compiler

Compiled 215 to 106 computations (50.7% saved)

soundness0.0ms (0%)

end59.0ms (0.3%)

Compiler: Compiled 197 to 78 computations (60.4% saved)

Details

analyze167.0ms (0.9%)

sample4.3s (23.4%)

preprocess2.3s (12.9%)

simplify6.3s (34.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0%)

series7.0ms (0%)

rewrite170.0ms (0.9%)

simplify205.0ms (1.1%)

eval22.0ms (0.1%)

prune22.0ms (0.1%)

localize79.0ms (0.4%)

series1.0ms (0%)

rewrite118.0ms (0.6%)

simplify210.0ms (1.2%)

localize5.0ms (0%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite78.0ms (0.4%)

simplify119.0ms (0.7%)

localize40.0ms (0.2%)

localize8.0ms (0%)

series3.0ms (0%)

rewrite89.0ms (0.5%)

simplify194.0ms (1.1%)

eval36.0ms (0.2%)

prune34.0ms (0.2%)

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simplify86.0ms (0.5%)

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localize6.0ms (0%)

localize7.0ms (0%)

series1.0ms (0%)

rewrite68.0ms (0.4%)

simplify68.0ms (0.4%)

localize8.0ms (0%)

series1.0ms (0%)

rewrite113.0ms (0.6%)

simplify135.0ms (0.7%)

eval115.0ms (0.6%)

prune77.0ms (0.4%)

localize7.0ms (0%)

series4.0ms (0%)

rewrite91.0ms (0.5%)

simplify199.0ms (1.1%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite60.0ms (0.3%)

simplify189.0ms (1%)

eval50.0ms (0.3%)

prune34.0ms (0.2%)

regimes40.0ms (0.2%)

regimes52.0ms (0.3%)

bsearch26.0ms (0.1%)

regimes276.0ms (1.5%)

bsearch68.0ms (0.4%)

regimes234.0ms (1.3%)

bsearch271.0ms (1.5%)

regimes76.0ms (0.4%)

bsearch593.0ms (3.3%)

regimes37.0ms (0.2%)

bsearch80.0ms (0.4%)

simplify449.0ms (2.5%)

soundness0.0ms (0%)

end59.0ms (0.3%)

Profiling