Details

analyze170.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
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 (26.2%)

Results

2.8s	8256×	body	256	valid
580.0ms	1996×	body	256	infinite

Bogosity

preprocess2.3s (14.3%)

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)

simplify6.2s (38.4%)

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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	47	13
2	127	13
3	326	13
4	814	13
5	3291	13

Stop Event

1×	node limit

Counts

1 → 79

Calls

Call 1

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

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1582×	`rational.json-simplify-49`
1466×	`rational.json-simplify-51`
1216×	`rational.json-simplify-50`
1022×	`rational.json-simplify-2`
758×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	2623
1	374	2413
2	967	2353
3	3335	2263
4	6039	2263

Stop Event

1×	node limit

Counts

103 → 115

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

eval25.0ms (0.2%)

Compiler: Compiled 1728 to 762 computations (55.9% saved)

prune19.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Error

Counts

116 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
▶	11.9b	(+.f64 x (/.f64 y z))
▶	0.0b	(+.f64 x (+.f64 (neg.f64 (/.f64 x z)) (/.f64 y z)))
▶	0.2b	(+.f64 x (*.f64 (/.f64 1 z) (-.f64 y x)))
▶	22.8b	(+.f64 x (neg.f64 (/.f64 x z)))

Compiler

Compiled 52 to 33 computations (36.5% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`
1380×	`rational.json-3`
1370×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	58	17
2	161	17
3	459	17
4	1447	17
5	4287	13

Stop Event

1×	node limit

Counts

1 → 88

Calls

Call 1

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

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

Outputs

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

simplify201.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1066×	`rational.json-simplify-2`
964×	`rational.json-simplify-41`
922×	`rational.json-simplify-35`
794×	`rational.json-simplify-53`
672×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	230	2168
1	497	2166
2	901	2166
3	2067	2154
4	4720	1554
5	7689	1554

Stop Event

1×	node limit

Counts

112 → 101

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 14 computations (51.7% 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	x	@	inf	(*.f64 (/.f64 1 z) (-.f64 y x))
0.0ms	y	@	inf	(*.f64 (/.f64 1 z) (-.f64 y x))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`rational.json-1`
1558×	`rational.json-2`
1558×	`rational.json-4`
1558×	`rational.json-3`
1540×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	70	13
2	164	13
3	342	13
4	760	13
5	2356	13
6	6054	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 x y) (*.f64 z -2)) (/.f64 (-.f64 x y) (*.f64 z -2)))))) (#(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 y x) (/.f64 (*.f64 z z) 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 (*.f64 (-.f64 x y) -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 4 (*.f64 4 (/.f64 z (-.f64 y x))))))) (#(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 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 (*.f64 (-.f64 x y) -4) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 z) (+.f64 (/.f64 2 (-.f64 y x)) (/.f64 2 (-.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 -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 (/.f64 (*.f64 (-.f64 x y) -4) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 z (/.f64 1/2 (-.f64 y x))))))) (#(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 z (*.f64 (/.f64 2 (-.f64 y x)) (/.f64 z (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 y x) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) -2) (*.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) 8) (*.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 -4 (-.f64 0 (*.f64 4 (/.f64 z (-.f64 y x)))))))) (#(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 z (*.f64 (/.f64 2 (-.f64 y x)) (/.f64 z (-.f64 y x)))) (*.f64 z (*.f64 (/.f64 2 (-.f64 y x)) (/.f64 z (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (*.f64 z -2)) 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 (*.f64 (-.f64 y x) 1/2) (/.f64 (*.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 y x) 8)) (*.f64 2 (*.f64 z 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) 4) (*.f64 (neg.f64 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (*.f64 z (/.f64 1/2 (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 y x) 8)) (neg.f64 (*.f64 z 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 y x) 8) z) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 y x) z) 8)) 16)))) (#(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 x y) -4)) (neg.f64 (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 z (-.f64 y x))) (-.f64 0 (*.f64 (/.f64 z (-.f64 y x)) (/.f64 z (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 y x) -2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 x y) -4)) (neg.f64 (*.f64 (-.f64 x y) -4))) (*.f64 2 (neg.f64 (*.f64 z 4))))))) (#(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 (-.f64 y x) 8) z) (/.f64 (*.f64 (-.f64 y x) 8) z)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 x y) 4) (*.f64 (-.f64 x y) 4)) (*.f64 2 (*.f64 (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 y x) z) 8)) (*.f64 2 (*.f64 (/.f64 (-.f64 y x) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 y x) -2)) (neg.f64 (*.f64 (-.f64 y x) -2))) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 z)) (-.f64 0 (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 z)) (-.f64 0 (/.f64 2 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 y x) 1/2)) (-.f64 0 (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) -4))) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) -4))) (-.f64 0 (neg.f64 (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 x y) 4)) (-.f64 0 (*.f64 (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) -2))) (*.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) z))))))

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1494×	`rational.json-simplify-61`
1492×	`rational.json-simplify-35`
1268×	`rational.json-simplify-49`
914×	`rational.json-simplify-46`
716×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	170	1524
1	562	1482
2	1664	1482
3	6389	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 x y) (.f64 z -2)) (/.f64 (-.f64 x y) (.f64 z -2)))
(-.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 y x) (/.f64 (*.f64 z z) z))
(/.f64 (/.f64 (-.f64 y x) z) 1)
(/.f64 2 (/.f64 z (*.f64 (-.f64 y x) 1/2)))
(/.f64 (*.f64 (-.f64 x y) -2) (+.f64 z z))
(/.f64 (/.f64 2 z) (/.f64 2 (-.f64 y x)))
(/.f64 4 (*.f64 4 (/.f64 z (-.f64 y x))))
(/.f64 (*.f64 (/.f64 (-.f64 y x) z) 2) 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 (.f64 (-.f64 x y) -4) (.f64 z 4))
(/.f64 (/.f64 4 z) (+.f64 (/.f64 2 (-.f64 y x)) (/.f64 2 (-.f64 y x))))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 z (-.f64 y x)))))
(/.f64 8 (/.f64 (*.f64 z 8) (-.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 (/.f64 (*.f64 (-.f64 x y) -4) z) 4)
(/.f64 1/2 (*.f64 z (/.f64 1/2 (-.f64 y x))))
(/.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 z (*.f64 (/.f64 2 (-.f64 y x)) (/.f64 z (-.f64 y x)))))
(/.f64 (*.f64 (/.f64 (-.f64 y x) z) 8) 8)
(/.f64 (.f64 (-.f64 y x) -2) (.f64 z -2))
(/.f64 (.f64 (-.f64 y x) 8) (.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 -4 (-.f64 0 (*.f64 4 (/.f64 z (-.f64 y 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))))
(/.f64 (.f64 4 (/.f64 z (-.f64 y x))) (+.f64 (.f64 z (.f64 (/.f64 2 (-.f64 y x)) (/.f64 z (-.f64 y x)))) (.f64 z (*.f64 (/.f64 2 (-.f64 y x)) (/.f64 z (-.f64 y x))))))
(/.f64 (/.f64 (-.f64 x y) (*.f64 z -2)) 1/2)
(/.f64 (.f64 (-.f64 y x) 1/2) (.f64 z 1/2))
(/.f64 (.f64 (-.f64 y x) 1/2) (/.f64 (.f64 z z) (+.f64 z z)))
(/.f64 (.f64 2 (.f64 (-.f64 y x) 8)) (.f64 2 (.f64 z 8)))
(/.f64 (.f64 (-.f64 x y) 4) (.f64 (neg.f64 z) 4))
(/.f64 -1/2 (-.f64 0 (*.f64 z (/.f64 1/2 (-.f64 y x)))))
(/.f64 (neg.f64 (.f64 (-.f64 y x) 8)) (neg.f64 (.f64 z 8)))
(/.f64 (/.f64 (-.f64 x y) z) -1)
(/.f64 (/.f64 (*.f64 (-.f64 y x) 8) z) 8)
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 y x) z) 8)) 16)
(/.f64 (/.f64 (-.f64 y x) (*.f64 z 4)) 1/4)
(/.f64 (neg.f64 (.f64 (-.f64 x y) -4)) (neg.f64 (.f64 z 4)))
(/.f64 (neg.f64 (/.f64 z (-.f64 y x))) (-.f64 0 (*.f64 (/.f64 z (-.f64 y x)) (/.f64 z (-.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) -2)) (+.f64 z z))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 x y) -4)) (neg.f64 (.f64 (-.f64 x y) -4))) (.f64 2 (neg.f64 (.f64 z 4))))
(/.f64 (+.f64 (/.f64 (-.f64 x y) z) (/.f64 (-.f64 x y) z)) -2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 y x) 8) z) (/.f64 (.f64 (-.f64 y x) 8) z)) 16)
(/.f64 (+.f64 (.f64 (-.f64 x y) 4) (.f64 (-.f64 x y) 4)) (.f64 2 (.f64 (neg.f64 z) 4)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 y x) z) 8)) (.f64 2 (.f64 (/.f64 (-.f64 y x) z) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 y x) -2)) (neg.f64 (.f64 (-.f64 y x) -2))) (*.f64 z 4))
(/.f64 (neg.f64 (/.f64 1 z)) (-.f64 0 (/.f64 1 (-.f64 y x))))
(/.f64 (neg.f64 (/.f64 2 z)) (-.f64 0 (/.f64 2 (-.f64 y x))))
(/.f64 (neg.f64 (.f64 (-.f64 y x) 1/2)) (-.f64 0 (.f64 z 1/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x y) -4))) (.f64 z 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x y) -4))) (-.f64 0 (neg.f64 (.f64 z 4))))
(/.f64 (neg.f64 (.f64 (-.f64 x y) 4)) (-.f64 0 (.f64 (neg.f64 z) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 y x) -2))) (.f64 z -2))
(pow.f64 (/.f64 (-.f64 y x) z) 1)
(neg.f64 (/.f64 (-.f64 x y) 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 x y) (.f64 z -2)) (/.f64 (-.f64 x y) (.f64 z -2)))
(/.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 y x) (/.f64 (*.f64 z z) 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 (*.f64 (-.f64 x y) -2) (+.f64 z z))
(/.f64 (-.f64 y x) z)
(/.f64 (/.f64 2 z) (/.f64 2 (-.f64 y x)))
(/.f64 (-.f64 y x) z)
(/.f64 4 (*.f64 4 (/.f64 z (-.f64 y x))))
(/.f64 (-.f64 y x) z)
(/.f64 (*.f64 (/.f64 (-.f64 y x) z) 2) 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 (.f64 (-.f64 x y) -4) (.f64 z 4))
(/.f64 (-.f64 y x) z)
(/.f64 (/.f64 4 z) (+.f64 (/.f64 2 (-.f64 y x)) (/.f64 2 (-.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 -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 (/.f64 (*.f64 (-.f64 x y) -4) z) 4)
(/.f64 (-.f64 y x) z)
(/.f64 1/2 (*.f64 z (/.f64 1/2 (-.f64 y x))))
(/.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 z (*.f64 (/.f64 2 (-.f64 y x)) (/.f64 z (-.f64 y x)))))
(/.f64 (-.f64 y x) z)
(/.f64 (*.f64 (/.f64 (-.f64 y x) z) 8) 8)
(/.f64 (-.f64 y x) z)
(/.f64 (.f64 (-.f64 y x) -2) (.f64 z -2))
(/.f64 (-.f64 y x) z)
(/.f64 (.f64 (-.f64 y x) 8) (.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 -4 (-.f64 0 (*.f64 4 (/.f64 z (-.f64 y x)))))
(/.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 z (.f64 (/.f64 2 (-.f64 y x)) (/.f64 z (-.f64 y x)))) (.f64 z (*.f64 (/.f64 2 (-.f64 y x)) (/.f64 z (-.f64 y x))))))
(/.f64 (-.f64 y x) z)
(/.f64 (/.f64 (-.f64 x y) (*.f64 z -2)) 1/2)
(/.f64 (-.f64 y x) z)
(/.f64 (.f64 (-.f64 y x) 1/2) (.f64 z 1/2))
(/.f64 (-.f64 y x) z)
(/.f64 (.f64 (-.f64 y x) 1/2) (/.f64 (.f64 z z) (+.f64 z z)))
(/.f64 (-.f64 y x) z)
(/.f64 (.f64 2 (.f64 (-.f64 y x) 8)) (.f64 2 (.f64 z 8)))
(/.f64 (-.f64 y x) z)
(/.f64 (.f64 (-.f64 x y) 4) (.f64 (neg.f64 z) 4))
(/.f64 (-.f64 y x) z)
(/.f64 -1/2 (-.f64 0 (*.f64 z (/.f64 1/2 (-.f64 y x)))))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (.f64 (-.f64 y x) 8)) (neg.f64 (.f64 z 8)))
(/.f64 (-.f64 y x) z)
(/.f64 (/.f64 (-.f64 x y) z) -1)
(/.f64 (-.f64 y x) z)
(/.f64 (/.f64 (*.f64 (-.f64 y x) 8) z) 8)
(/.f64 (-.f64 y x) z)
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 y x) z) 8)) 16)
(/.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 x y) -4)) (neg.f64 (.f64 z 4)))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (/.f64 z (-.f64 y x))) (-.f64 0 (*.f64 (/.f64 z (-.f64 y x)) (/.f64 z (-.f64 y x)))))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (*.f64 (-.f64 y x) -2)) (+.f64 z z))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 x y) -4)) (neg.f64 (.f64 (-.f64 x y) -4))) (.f64 2 (neg.f64 (.f64 z 4))))
(/.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 (-.f64 y x) 8) z) (/.f64 (.f64 (-.f64 y x) 8) z)) 16)
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 (.f64 (-.f64 x y) 4) (.f64 (-.f64 x y) 4)) (.f64 2 (.f64 (neg.f64 z) 4)))
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 y x) z) 8)) (.f64 2 (.f64 (/.f64 (-.f64 y x) z) 8))) 32)
(/.f64 (-.f64 y x) z)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 y x) -2)) (neg.f64 (.f64 (-.f64 y x) -2))) (*.f64 z 4))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (/.f64 1 z)) (-.f64 0 (/.f64 1 (-.f64 y x))))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (/.f64 2 z)) (-.f64 0 (/.f64 2 (-.f64 y x))))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (.f64 (-.f64 y x) 1/2)) (-.f64 0 (.f64 z 1/2)))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x y) -4))) (.f64 z 4))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x y) -4))) (-.f64 0 (neg.f64 (.f64 z 4))))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (.f64 (-.f64 x y) 4)) (-.f64 0 (.f64 (neg.f64 z) 4)))
(/.f64 (-.f64 y x) z)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 y x) -2))) (.f64 z -2))
(/.f64 (-.f64 y x) z)
(pow.f64 (/.f64 (-.f64 y x) z) 1)
(/.f64 (-.f64 y x) z)
(neg.f64 (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 y x) z)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series2.0ms (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	@	0	(+.f64 (neg.f64 (/.f64 x z)) (/.f64 y z))
0.0ms	y	@	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	y	@	0	(+.f64 (neg.f64 (/.f64 x z)) (/.f64 y z))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`rational.json-simplify-35`
1152×	`rational.json-1`
1152×	`rational.json-2`
1152×	`rational.json-4`
1152×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	72	23
2	196	23
3	557	23
4	1800	23
5	4340	17

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1374×	`rational.json-simplify-35`
1332×	`rational.json-simplify-51`
1158×	`rational.json-simplify-2`
824×	`rational.json-simplify-50`
820×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1448
1	220	1388
2	512	1364
3	1751	1364
4	4392	1364
5	6288	1364
6	7512	1364

Stop Event

1×	node limit

Counts

66 → 47

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`rational.json-1`
1266×	`rational.json-2`
1266×	`rational.json-4`
1266×	`rational.json-3`
1258×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	126	13
3	316	13
4	824	13
5	3377	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify949.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

5008×	`rational.json-simplify-51`
2050×	`rational.json-simplify-35`
1348×	`rational.json-simplify-1`
1232×	`rational.json-simplify-2`
1144×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	524
1	98	524
2	269	524
3	726	524
4	1181	524
5	2633	524
6	3475	524
7	3566	524
8	3617	524
9	3657	524
10	3694	524
11	3728	524
12	3764	524
13	3798	524
14	3832	524
15	3866	524
16	3900	524
17	3934	524
18	3968	524
19	4782	524
20	4915	524
21	4951	524
22	4985	524
23	5018	524
24	5051	524
25	5221	524
26	5254	524
27	5287	524
28	5320	524
29	5353	524
30	5386	524
31	5419	524
32	5452	524
33	5485	524
34	5518	524
35	5551	524
36	5584	524
37	5617	524
38	5617	524
39	5617	524

Stop Event

1×	node limit

Counts

44 → 23

Calls

Call 1

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

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

eval178.0ms (1.1%)

Compiler: Compiled 2759 to 1387 computations (49.7% saved)

prune39.0ms (0.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	237	5	242
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	239	8	247

Error

Counts

247 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.9b	(/.f64 y z)
▶	51.0b	(/.f64 x (neg.f64 z))
▶	22.8b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	11.9b	(+.f64 x (/.f64 y z))
▶	0.1b	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
✓	0.2b	(+.f64 x (*.f64 (/.f64 1 z) (-.f64 y x)))
	34.3b	x

Compiler

Compiled 67 to 44 computations (34.3% saved)

localize9.0ms (0.1%)

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 31 to 11 computations (64.5% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

18 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`rational.json-1`
1892×	`rational.json-2`
1892×	`rational.json-3`
1890×	`rational.json-4`
1880×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	76	26
2	214	26
3	509	26
4	1452	26
5	4778	26

Stop Event

1×	node limit

Counts

2 → 116

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

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational.json-simplify-51`
1056×	`rational.json-simplify-2`
892×	`rational.json-simplify-55`
720×	`rational.json-simplify-44`
656×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	4364
1	618	4190
2	1460	3902
3	4634	3836

Stop Event

1×	node limit

Counts

176 → 182

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

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)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`rational.json-1`
1266×	`rational.json-2`
1266×	`rational.json-4`
1266×	`rational.json-3`
1258×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	41	13
2	117	13
3	306	13
4	806	13
5	3375	13

Stop Event

1×	node limit

Counts

1 → 47

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

simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1478×	`rational.json-simplify-35`
1090×	`rational.json-simplify-2`
918×	`rational.json-simplify-1`
826×	`rational.json-simplify-26`
798×	`rational.json-simplify-46`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	109	1343
1	221	1341
2	504	1341
3	1224	1341
4	2457	1341
5	3730	1341
6	5703	1341
7	7120	963

Stop Event

1×	node limit

Counts

71 → 57

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

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

localize7.0ms (0%)

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

localize3.0ms (0%)

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

eval54.0ms (0.3%)

Compiler: Compiled 3371 to 1779 computations (47.2% saved)

prune39.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	239	8	247

Error

Counts

247 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.9b	(/.f64 y z)
✓	51.0b	(/.f64 x (neg.f64 z))
✓	22.8b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	11.9b	(+.f64 x (/.f64 y z))
✓	0.1b	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
✓	0.2b	(+.f64 x (*.f64 (/.f64 1 z) (-.f64 y x)))
	34.3b	x

Compiler

Compiled 67 to 44 computations (34.3% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

8 alts after pruning (1 fresh and 7 done)

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

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.9b	(/.f64 y z)
✓	51.0b	(/.f64 x (neg.f64 z))
✓	22.8b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	11.9b	(+.f64 x (/.f64 y z))
✓	0.1b	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
✓	0.2b	(+.f64 x (*.f64 (/.f64 1 z) (-.f64 y x)))
	34.3b	x

Compiler

Compiled 67 to 44 computations (34.3% saved)

regimes26.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

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 84 to 39 computations (53.6% saved)

regimes57.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	y
14.0ms	x
12.0ms	z

Results

Error	Segments	Branch
9.2b	2	`x`
6.0b	3	`y`
9.6b	3	`z`

Compiler

Compiled 39 to 20 computations (48.7% saved)

bsearch24.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	2.3075971272115566e-104	6.486561981840945e-100
11.0ms	-1.913633662005237e-169	-9.310500453066316e-172

Results

21.0ms

240×

body

256

valid

Compiler

Compiled 286 to 191 computations (33.2% saved)

regimes28.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	y
11.0ms	z
4.0ms	x

Results

Error	Segments	Branch
11.9b	1	`x`
10.7b	3	`y`
9.6b	3	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch115.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	3.054251013791039e-78	7.095059127692636e-78
106.0ms	7.569993949278923e-296	4.1416768008717813e-290

Results

93.0ms	231×	body	256	infinite
19.0ms	224×	body	256	valid

Compiler

Compiled 254 to 179 computations (29.5% saved)

regimes118.0ms (0.7%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

75.0ms	z
26.0ms	y
15.0ms	x

Results

Error	Segments	Branch
22.6b	5	`x`
25.2b	9	`y`
18.9b	5	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch78.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	113719614582597.0	3.465144485514854e+23
11.0ms	3.054251013791039e-78	7.095059127692636e-78
39.0ms	7.569993949278923e-296	4.1416768008717813e-290
13.0ms	-7396521.157834553	-453.8188748850902

Results

47.0ms	496×	body	256	valid
24.0ms	286×	body	256	infinite

Compiler

Compiled 430 to 318 computations (26% saved)

regimes43.0ms (0.3%)

Accuracy

Total -41.0b remaining (-193.4%)

Threshold costs -41.0b (-193.4%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)

Outputs
x
(/.f64 y z)
x

Calls

3 calls:

19.0ms	y
15.0ms	z
9.0ms	x

Results

Error	Segments	Branch
23.7b	3	`x`
26.4b	7	`y`
21.2b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	113719614582597.0	3.465144485514854e+23
14.0ms	-7396521.157834553	-453.8188748850902

Results

27.0ms

272×

body

256

valid

Compiler

Compiled 220 to 164 computations (25.5% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	222

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 y -6118709677249157/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (+.f64 x (/.f64 y z)) (if (<=.f64 y 5446933336589573/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(if (<=.f64 z 1158669403329227/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (+.f64 x (/.f64 y z)) (if (<=.f64 z 2033776718772351/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (/.f64 x (neg.f64 z)) (+.f64 x (/.f64 y z))))
(if (<=.f64 z -3900000) x (if (<=.f64 z 5752618031559411/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432) (/.f64 y z) (if (<=.f64 z 6987848213217821/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (/.f64 x (neg.f64 z)) (if (<=.f64 z 72000000000000000) (/.f64 y z) x))))
(if (<=.f64 z -7200000) x (if (<=.f64 z 21000000000000000000) (/.f64 y z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 y -6118709677249157/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (+.f64 x (/.f64 y z)) (if (<=.f64 y 5446933336589573/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(if (<=.f64 z 1158669403329227/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (+.f64 x (/.f64 y z)) (if (<=.f64 z 2033776718772351/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (/.f64 x (neg.f64 z)) (+.f64 x (/.f64 y z))))
(if (<=.f64 z -3900000) x (if (<=.f64 z 5752618031559411/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432) (/.f64 y z) (if (<=.f64 z 6987848213217821/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (/.f64 x (neg.f64 z)) (if (<=.f64 z 72000000000000000) (/.f64 y z) x))))
(if (<=.f64 z -7200000) x (if (<=.f64 z 21000000000000000000) (/.f64 y z) x))
x

Compiler

Compiled 112 to 63 computations (43.8% saved)

soundness0.0ms (0%)

end41.0ms (0.3%)

Compiler: Compiled 97 to 42 computations (56.7% saved)

Details

analyze170.0ms (1%)

sample4.3s (26.2%)

preprocess2.3s (14.3%)

simplify6.2s (38.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite73.0ms (0.4%)

simplify104.0ms (0.6%)

eval25.0ms (0.2%)

prune19.0ms (0.1%)

localize7.0ms (0%)

series2.0ms (0%)

rewrite72.0ms (0.4%)

simplify201.0ms (1.2%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite81.0ms (0.5%)

simplify95.0ms (0.6%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite67.0ms (0.4%)

simplify117.0ms (0.7%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite72.0ms (0.4%)

simplify949.0ms (5.8%)

eval178.0ms (1.1%)

prune39.0ms (0.2%)

localize9.0ms (0.1%)

series5.0ms (0%)

rewrite95.0ms (0.6%)

simplify142.0ms (0.9%)

localize5.0ms (0%)

series0.0ms (0%)

rewrite78.0ms (0.5%)

simplify125.0ms (0.8%)

localize7.0ms (0%)

localize3.0ms (0%)

eval54.0ms (0.3%)

prune39.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes26.0ms (0.2%)

regimes57.0ms (0.4%)

bsearch24.0ms (0.1%)

regimes28.0ms (0.2%)

bsearch115.0ms (0.7%)

regimes118.0ms (0.7%)

bsearch78.0ms (0.5%)

regimes43.0ms (0.3%)

bsearch29.0ms (0.2%)

simplify5.0ms (0%)

soundness0.0ms (0%)

end41.0ms (0.3%)

Profiling