Details

analyze732.0ms (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
10.9%	10.9%	88.9%	0.2%	0%	0%	0%	10
13.4%	13.3%	85.8%	0.2%	0.8%	0%	0%	11
18.4%	17.9%	79.3%	0.2%	2.5%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.0s (7.7%)

Results

1.5s	8256×	body	256	valid
489.0ms	2476×	body	256	infinite

Bogosity

preprocess501.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

13102×	`rational.json-simplify-41`
1788×	`rational.json-simplify-1`
996×	`rational.json-simplify-35`
14×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	175
1	56	175
2	66	175
3	84	175
4	118	175
5	209	175
6	463	175
7	605	175
8	615	175
9	625	175
10	635	175
11	645	175
12	1783	175
13	1793	175
14	1803	175
15	1813	175
16	1823	175
17	1833	175
18	2482	175
19	2492	175
20	2502	175
21	2512	175
22	2522	175
23	2532	175
24	2542	175
25	2552	175
26	2562	175
27	2572	175
28	2582	175
29	2592	175
30	2602	175
31	2612	175
32	2622	175
33	2632	175
34	2642	175
35	2652	175
36	2662	175
37	2672	175
38	2682	175
39	2692	175
40	2702	175
41	2712	175
42	2722	175
43	2732	175
44	2742	175
45	2752	175
46	2762	175
47	2772	175
48	2782	175
49	2792	175
50	2802	175
51	2812	175
52	2822	175
53	2832	175
54	2842	175
55	2852	175
56	2862	175
57	2872	175
58	2882	175
59	2892	175
60	2902	175
61	2912	175
62	2922	175
63	2932	175
64	2942	175
65	2952	175
66	2962	175
67	2972	175
68	2982	175
69	2992	175
70	3002	175
71	3012	175
72	3022	175
73	3032	175
74	3042	175
75	3052	175
76	3062	175
77	3072	175
78	3082	175
79	3092	175
80	3102	175
81	3112	175
82	3122	175
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify6.2s (23.9%)

Algorithm

1×	egg-herbie

Rules

21320×	`rational.json-simplify-41`
2350×	`rational.json-simplify-1`
648×	`rational.json-simplify-35`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	15	25
2	18	25
3	25	25
4	40	25
5	85	25
6	213	25
7	598	25
8	757	25
9	760	25
10	763	25
11	766	25
12	769	25
13	772	25
14	775	25
15	778	25
16	781	25
17	784	25
18	787	25
19	790	25
20	793	25
21	796	25
22	799	25
23	2552	25
24	2555	25
25	2558	25
26	2561	25
27	2564	25
28	2567	25
29	3384	25
30	3387	25
31	3390	25
32	3393	25
33	3396	25
34	3399	25
35	3402	25
36	3405	25
37	3408	25
38	3411	25
39	3414	25
40	3417	25
41	3420	25
42	3423	25
43	3426	25
44	3429	25
45	3432	25
46	3435	25
47	3438	25
48	3441	25
49	3444	25
50	3447	25
51	3450	25
52	3453	25
53	3456	25
54	3459	25
55	3462	25
56	3465	25
57	3468	25
58	3471	25
59	3474	25
60	3477	25
61	3480	25
62	3483	25
63	3486	25
64	3489	25
65	3492	25
66	3495	25
67	3498	25
68	3501	25
69	3504	25
70	3507	25
71	3510	25
72	3513	25
73	3516	25
74	3519	25
75	3522	25
76	3525	25
77	3528	25
78	3531	25
79	3534	25
80	3537	25
81	3540	25
82	3543	25
83	3546	25
84	3549	25
85	3552	25
86	3555	25
87	3558	25
88	3561	25
89	3564	25
90	3567	25
91	3570	25
92	3573	25
93	3576	25
94	3579	25
95	3582	25
96	3585	25
97	3588	25
98	3591	25
99	3594	25
100	3597	25
101	3600	25
102	3603	25
103	3606	25
104	3609	25
105	3612	25
106	3615	25
107	3618	25
108	3621	25
109	3624	25
110	3627	25
111	3630	25
112	3633	25
113	3636	25
114	3639	25
115	3642	25
116	3645	25
117	3648	25
118	3651	25
119	3654	25
120	3657	25
121	3660	25
122	3663	25
123	3666	25
124	3669	25
125	3672	25
126	3675	25
127	3678	25
128	3681	25
129	3684	25
130	3687	25
131	3690	25
132	3693	25
133	3696	25
134	3699	25
135	3702	25
136	3705	25
137	3708	25
138	3711	25
139	3714	25
140	3717	25
141	3720	25
142	3723	25
143	3726	25
144	3729	25
145	3732	25
146	3735	25
147	3738	25
148	3741	25
149	3744	25
150	3747	25
151	3750	25
152	3753	25
153	3756	25
154	3759	25
155	3762	25
156	3765	25
157	3768	25
158	3771	25
159	3774	25
160	3777	25
161	3780	25
162	3783	25
163	3786	25
164	3789	25
165	3792	25
166	3795	25
167	3798	25
168	3801	25
169	3804	25
170	3807	25
171	3810	25
172	3813	25
173	3816	25
174	3819	25
175	3822	25
176	3825	25
177	3828	25
178	3831	25
179	3834	25
180	3837	25
181	3840	25
182	3843	25
183	3846	25
184	3849	25
185	3852	25
186	3855	25
187	3858	25
188	3861	25
189	3864	25
190	3867	25
191	3870	25
192	3873	25
193	3876	25
194	3879	25
195	3882	25
196	3885	25
197	3888	25
198	3891	25
199	3894	25
200	3897	25
201	3900	25
202	3903	25
203	3906	25
204	3909	25
205	3912	25
206	3915	25
207	3918	25
208	3921	25
209	3924	25
210	3927	25
211	3930	25
212	3933	25
213	3936	25
214	3939	25
215	3942	25
216	3945	25
217	3948	25
218	3951	25
219	3954	25
220	3957	25
221	3960	25
222	3963	25
223	3966	25
224	3969	25
225	3972	25
226	3975	25
227	3978	25
228	3981	25
229	3984	25
230	3987	25
231	3990	25
232	3993	25
233	3996	25
234	3999	25
235	4002	25
236	4005	25
237	4008	25
238	4011	25
239	4014	25
240	4017	25
241	4020	25
242	4023	25
243	4026	25
244	4029	25
245	4032	25
246	4035	25
247	4038	25
248	4041	25
249	4044	25
250	4047	25
251	4050	25
252	4053	25
253	4056	25
254	4059	25
255	4062	25
256	4065	25
257	4068	25
258	4071	25
259	4074	25
260	4077	25
261	4080	25
262	4083	25
263	4086	25
264	4089	25
265	4092	25
266	4095	25
267	4098	25
268	4101	25
269	4104	25
270	4107	25
271	4110	25
272	4113	25
273	4116	25
274	4119	25
275	4122	25
276	4125	25
277	4128	25
278	4131	25
279	4134	25
280	4137	25
281	4140	25
282	4143	25
283	4146	25
284	4149	25
285	4152	25
286	4155	25
287	4158	25
288	4161	25
289	4164	25
290	4167	25
291	4170	25
292	4173	25
293	4176	25
294	4179	25
295	4182	25
296	4185	25
297	4188	25
298	4191	25
299	4194	25
300	4197	25
301	4200	25
302	4203	25
303	4206	25
304	4209	25
305	4212	25
306	4215	25
307	4218	25
308	4221	25
309	4224	25
310	4227	25
311	4230	25
312	4233	25
313	4236	25
314	4239	25
315	4242	25
316	4245	25
317	4248	25
318	4251	25
319	4254	25
320	4257	25
321	4260	25
322	4263	25
323	4266	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 22 to 9 computations (59.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.6b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize97.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
✓	5.6b	(*.f64 (/.f64 x y) (-.f64 z t))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series8.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite262.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`rational.json-simplify-1`
718×	`rational.json-simplify-44`
704×	`rational.json-simplify-35`
694×	`rational.json-simplify-49`
652×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	100	44
2	286	44
3	683	44
4	1745	44
5	6447	44

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

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

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

simplify198.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1648×	`rational.json-simplify-35`
970×	`rational.json-simplify-61`
882×	`rational.json-simplify-51`
766×	`rational.json-simplify-44`
730×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	5671
1	1476	5587
2	5516	5397
3	7864	5397

Stop Event

1×	node limit

Counts

247 → 197

Calls

Call 1

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

eval139.0ms (0.5%)

Compiler: Compiled 2674 to 1147 computations (57.1% saved)

prune38.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	188	9	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	10	198

Error

Counts

198 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
▶	5.0b	(+.f64 (/.f64 (*.f64 (-.f64 z t) (/.f64 1/2 y)) (/.f64 1/2 x)) t)
	15.5b	(+.f64 (/.f64 (*.f64 z x) y) t)
	4.8b	(+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t)
✓	1.6b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
▶	12.9b	(+.f64 (*.f64 z (/.f64 x y)) t)
	14.9b	(+.f64 (*.f64 x (/.f64 z y)) t)
▶	20.9b	(+.f64 (neg.f64 (*.f64 x (/.f64 t y))) t)
▶	19.4b	(*.f64 t (-.f64 1 (/.f64 x y)))
	30.4b	t

Compiler

Compiled 216 to 142 computations (34.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
✓	5.9b	(/.f64 (-.f64 z t) (/.f64 y x))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series3.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`rational.json-simplify-35`
1148×	`bool.json-1`
1148×	`bool.json-2`
1122×	`rational.json-1`
1122×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	104	44
2	342	44
3	1002	44
4	3202	44

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify2.0s (7.8%)

Algorithm

1×	egg-herbie

Rules

1646×	`rational.json-simplify-35`
1060×	`rational.json-simplify-2`
838×	`rational.json-simplify-53`
770×	`rational.json-simplify-55`
716×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	3852
1	302	3744
2	656	3582
3	2036	3538
4	4534	3538
5	6073	3538
6	7680	3538

Stop Event

1×	node limit

Counts

150 → 103

Calls

Call 1

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

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

localize89.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(*.f64 t (-.f64 1 (/.f64 x y)))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`bool.json-1`
1856×	`bool.json-2`
1818×	`rational.json-1`
1538×	`bool.json-3`
632×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	98	19
2	306	19
3	681	19
4	1604	19
5	5217	19

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify183.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2272×	`rational.json-simplify-2`
1624×	`rational.json-simplify-35`
1432×	`rational.json-simplify-50`
802×	`rational.json-simplify-51`
794×	`rational.json-simplify-1`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	33	710
1	78	652
2	155	652
3	379	652
4	1115	652
5	2591	652
6	3792	652
7	4276	548
8	5245	548
9	6022	548
10	6722	548
11	7684	548

Stop Event

1×	node limit

Counts

32 → 23

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 z (/.f64 x y)) t)
✓	3.1b	(*.f64 z (/.f64 x y))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite187.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational.json-simplify-50`
702×	`rational.json-simplify-44`
666×	`rational.json-simplify-49`
666×	`rational.json-simplify-35`
638×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	91	32
2	265	32
3	630	32
4	1616	32
5	6086	32

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

Outputs

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

simplify253.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1830×	`rational.json-simplify-35`
1054×	`rational.json-simplify-51`
908×	`rational.json-simplify-44`
906×	`rational.json-simplify-50`
776×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	4432
1	1780	4348
2	6098	4312

Stop Event

1×	node limit

Counts

280 → 216

Calls

Call 1

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

localize68.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 t y))) t)
✓	4.5b	(*.f64 x (/.f64 t y))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2116×	`bool.json-1`
2116×	`bool.json-2`
1674×	`bool.json-3`
902×	`rational.json-simplify-35`
760×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	104	36
2	308	36
3	772	36
4	2192	36
5	6474	36

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(*.f64 x (/.f64 t y))
(+.f64 (neg.f64 (*.f64 x (/.f64 t y))) t)

Outputs

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

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

simplify236.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational.json-simplify-49`
948×	`rational.json-simplify-53`
792×	`rational.json-simplify-35`
756×	`rational.json-simplify-46`
658×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	217	2576
1	731	2508
2	2168	2508
3	4774	2502
4	7280	2502

Stop Event

1×	node limit

Counts

154 → 106

Calls

Call 1

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

Outputs
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
(*.f64 t (/.f64 x y))
(/.f64 (*.f64 t x) y)
(*.f64 x (/.f64 t y))
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localize77.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 (-.f64 z t) (/.f64 1/2 y)) (/.f64 1/2 x)) t)
✓	0.3b	(*.f64 (-.f64 z t) (/.f64 1/2 y))
✓	5.2b	(/.f64 (*.f64 (-.f64 z t) (/.f64 1/2 y)) (/.f64 1/2 x))

Compiler

Compiled 49 to 26 computations (46.9% saved)

series11.0ms (0%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	t	@	0	(*.f64 (-.f64 z t) (/.f64 1/2 y))
2.0ms	z	@	inf	(*.f64 (-.f64 z t) (/.f64 1/2 y))
0.0ms	y	@	0	(*.f64 (-.f64 z t) (/.f64 1/2 y))
0.0ms	y	@	inf	(*.f64 (-.f64 z t) (/.f64 1/2 y))
0.0ms	z	@	0	(*.f64 (-.f64 z t) (/.f64 1/2 y))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`bool.json-1`
1988×	`bool.json-2`
1710×	`bool.json-3`
808×	`rational.json-simplify-61`
728×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	136	87
2	434	63
3	1408	63
4	5664	63

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

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

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

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

simplify145.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1630×	`rational.json-simplify-35`
1098×	`rational.json-simplify-43`
1090×	`rational.json-simplify-49`
1070×	`rational.json-simplify-1`
892×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	5631
1	722	5523
2	2002	5361
3	5696	5327
4	7856	5327

Stop Event

1×	node limit

Counts

231 → 156

Calls

Call 1

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

eval127.0ms (0.5%)

Compiler: Compiled 7668 to 3556 computations (53.6% saved)

prune113.0ms (0.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	597	7	604
Fresh	2	2	4
Picked	1	0	1
Done	1	4	5
Total	601	13	614

Error

Counts

614 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
	12.9b	(+.f64 (/.f64 z (/.f64 y x)) t)
▶	14.9b	(+.f64 (/.f64 x (/.f64 y z)) t)
✓	1.6b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
▶	4.9b	(+.f64 (*.f64 (/.f64 -1 (/.f64 y (-.f64 z t))) (neg.f64 x)) t)
✓	12.9b	(+.f64 (*.f64 z (/.f64 x y)) t)
	14.9b	(+.f64 (*.f64 x (/.f64 z y)) t)
▶	20.9b	(+.f64 (neg.f64 (/.f64 x (/.f64 y t))) t)
▶	51.8b	(*.f64 (/.f64 t y) (neg.f64 x))
	51.3b	(*.f64 t (/.f64 (neg.f64 x) y))
✓	19.4b	(*.f64 t (-.f64 1 (/.f64 x y)))
▶	52.5b	(neg.f64 (/.f64 (*.f64 t x) y))
	30.4b	t

Compiler

Compiled 235 to 157 computations (33.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 -1 (/.f64 y (-.f64 z t))) (neg.f64 x)) t)
✓	0.0b	(/.f64 y (-.f64 z t))
✓	0.5b	(/.f64 -1 (/.f64 y (-.f64 z t)))
✓	5.1b	(*.f64 (/.f64 -1 (/.f64 y (-.f64 z t))) (neg.f64 x))

Compiler

Compiled 48 to 17 computations (64.6% saved)

series8.0ms (0%)

Counts

4 → 156

Calls

42 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`rational.json-simplify-35`
1256×	`bool.json-1`
1256×	`bool.json-2`
1224×	`rational.json-1`
1224×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	96
1	151	90
2	465	70
3	1185	70
4	3599	70

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

Outputs
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simplify174.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational.json-simplify-2`
1112×	`rational.json-simplify-35`
1030×	`rational.json-simplify-43`
972×	`rational.json-simplify-50`
898×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	456	9006
1	1221	8778
2	3650	8064
3	5821	7846
4	7098	7846

Stop Event

1×	node limit

Counts

358 → 292

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.6b	(/.f64 (*.f64 t x) y)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 46

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(*.f64 (/.f64 t y) (neg.f64 x))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational.json-simplify-50`
862×	`rational.json-simplify-61`
802×	`rational.json-simplify-53`
724×	`rational.json-simplify-35`
684×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	94	17
2	286	17
3	692	17
4	1813	17
5	5967	17

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

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

Outputs

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

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1550×	`rational.json-simplify-53`
1046×	`rational.json-simplify-35`
970×	`rational.json-simplify-2`
960×	`rational.json-simplify-50`
636×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	2535
1	1004	2285
2	3363	2279
3	5230	2279

Stop Event

1×	node limit

Counts

131 → 115

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x (/.f64 y z)) t)
✓	5.8b	(/.f64 x (/.f64 y z))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`rational.json-simplify-35`
1142×	`bool.json-1`
1142×	`bool.json-2`
1116×	`rational.json-1`
1116×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	95	32
2	320	32
3	941	32
4	3114	32

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify138.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1496×	`rational.json-simplify-35`
1246×	`rational.json-simplify-2`
902×	`rational.json-simplify-38`
868×	`rational.json-simplify-53`
728×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	2082
1	243	2058
2	554	2058
3	1934	2058
4	4357	2058
5	5759	2058
6	7075	2058

Stop Event

1×	node limit

Counts

138 → 65

Calls

Call 1

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 x (/.f64 y t))) t)
✓	4.6b	(/.f64 x (/.f64 y t))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series1.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`bool.json-1`
1524×	`bool.json-2`
1496×	`rational.json-1`
1496×	`rational.json-2`
1496×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	108	36
2	371	36
3	1197	36
4	4654	36

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify153.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational.json-simplify-35`
1254×	`rational.json-simplify-2`
904×	`rational.json-simplify-55`
704×	`rational.json-simplify-46`
646×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	2182
1	333	2078
2	744	2078
3	2398	1882
4	5334	1882
5	6461	1882
6	7749	1882

Stop Event

1×	node limit

Counts

124 → 63

Calls

Call 1

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

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

eval114.0ms (0.4%)

Compiler: Compiled 7679 to 3616 computations (52.9% saved)

prune372.0ms (1.4%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	576	5	581
Fresh	2	2	4
Picked	0	1	1
Done	1	7	8
Total	579	15	594

Error

Counts

594 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.8b	(/.f64 (neg.f64 x) (/.f64 y t))
▶	51.1b	(/.f64 (neg.f64 t) (/.f64 y x))
✓	1.4b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
▶	12.9b	(+.f64 (/.f64 z (/.f64 y x)) t)
✓	14.9b	(+.f64 (/.f64 x (/.f64 y z)) t)
▶	14.9b	(+.f64 (*.f64 (/.f64 z y) x) t)
✓	1.6b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
	20.9b	(+.f64 (*.f64 (/.f64 -1 (neg.f64 (/.f64 y t))) (neg.f64 x)) t)
✓	12.9b	(+.f64 (*.f64 z (/.f64 x y)) t)
✓	20.9b	(+.f64 (neg.f64 (/.f64 x (/.f64 y t))) t)
▶	51.3b	(*.f64 (/.f64 x y) (neg.f64 t))
✓	51.8b	(*.f64 (/.f64 t y) (neg.f64 x))
✓	19.4b	(*.f64 t (-.f64 1 (/.f64 x y)))
✓	52.5b	(neg.f64 (/.f64 (*.f64 t x) y))
	30.4b	t

Compiler

Compiled 230 to 156 computations (32.2% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 z (/.f64 y x)) t)
✓	3.3b	(/.f64 z (/.f64 y x))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`rational.json-simplify-35`
1142×	`bool.json-1`
1142×	`bool.json-2`
1116×	`rational.json-1`
1116×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	95	32
2	320	32
3	941	32
4	3114	32

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-35`
1234×	`rational.json-simplify-2`
902×	`rational.json-simplify-38`
864×	`rational.json-simplify-53`
698×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	2082
1	244	2058
2	549	2058
3	1914	2058
4	4382	2058
5	5776	2058
6	7087	2058

Stop Event

1×	node limit

Counts

138 → 67

Calls

Call 1

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

Outputs
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (*.f64 z (/.f64 x y)))
(+.f64 t (*.f64 x (/.f64 z y)))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (*.f64 z (/.f64 x y)))
(+.f64 t (*.f64 x (/.f64 z y)))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (*.f64 z (/.f64 x y)))
(+.f64 t (*.f64 x (/.f64 z y)))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (*.f64 z (/.f64 x y)))
(+.f64 t (*.f64 x (/.f64 z y)))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (*.f64 z (/.f64 x y)))
(+.f64 t (*.f64 x (/.f64 z y)))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (*.f64 z (/.f64 x y)))
(+.f64 t (*.f64 x (/.f64 z y)))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (*.f64 z (/.f64 x y)))
(+.f64 t (*.f64 x (/.f64 z y)))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (*.f64 z (/.f64 x y)))
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t
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t
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(-.f64 (*.f64 z (/.f64 x y)) 0)
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(*.f64 z (/.f64 x y))
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(/.f64 (*.f64 z x) y)
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(*.f64 x (/.f64 z y))
(.f64 (+.f64 x x) (.f64 (/.f64 z y) 1/2))
(/.f64 (*.f64 z x) y)
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(*.f64 x (/.f64 z y))
(*.f64 (+.f64 z z) (/.f64 (/.f64 x y) 2))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (+.f64 z z) (.f64 (/.f64 x y) 1/2))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 2 (/.f64 z (.f64 y (/.f64 2 x))))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 2 (/.f64 x (.f64 y (/.f64 2 z))))
(/.f64 (*.f64 z x) y)
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(*.f64 x (/.f64 z y))
(.f64 2 (/.f64 (.f64 z (/.f64 x y)) 2))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 (*.f64 y 4) z)))
(.f64 x (.f64 4 (/.f64 z (/.f64 (*.f64 y 4) 1))))
(.f64 x (.f64 4 (/.f64 z (*.f64 y 4))))
(.f64 x (.f64 4 (/.f64 z (/.f64 y 1/4))))
(.f64 (.f64 x (*.f64 2 (/.f64 z y))) 1/2)
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 4 (/.f64 y x))))
(.f64 4 (.f64 z (/.f64 1/4 (/.f64 y x))))
(.f64 4 (.f64 z (/.f64 x (*.f64 y 4))))
(.f64 z (.f64 4 (/.f64 x (*.f64 y 4))))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y z)))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (neg.f64 z) (/.f64 -1 (/.f64 y x)))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z y) x)
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z y) (/.f64 1 (/.f64 1 x)))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x y) z)
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 -1 (/.f64 z (/.f64 y (neg.f64 x))))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 1/2 (.f64 x (*.f64 2 (/.f64 z y))))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (/.f64 x y) 2) (+.f64 z z))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (.f64 (/.f64 z y) 1/2) (+.f64 x x))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (.f64 (/.f64 x y) 1/2) (+.f64 z z))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 z y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 1 (/.f64 1 z)) (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z (/.f64 y (neg.f64 x))) -1)
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x (/.f64 1 z)) (/.f64 1 y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (/.f64 z (.f64 y (/.f64 2 x))) 2)
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (/.f64 x (.f64 y (/.f64 2 z))) 2)
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (/.f64 1 (/.f64 (.f64 y 4) z)) (*.f64 x 4))
(.f64 x (.f64 4 (/.f64 z (/.f64 (*.f64 y 4) 1))))
(.f64 x (.f64 4 (/.f64 z (*.f64 y 4))))
(.f64 x (.f64 4 (/.f64 z (/.f64 y 1/4))))
(.f64 (/.f64 (.f64 z (/.f64 x y)) 2) 2)
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (/.f64 1 (.f64 (/.f64 y x) 4)) (*.f64 z 4))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 4 (/.f64 y x))))
(.f64 4 (.f64 z (/.f64 1/4 (/.f64 y x))))
(.f64 4 (.f64 z (/.f64 x (*.f64 y 4))))
(.f64 z (.f64 4 (/.f64 x (*.f64 y 4))))
(*.f64 (/.f64 -1 (/.f64 y z)) (neg.f64 x))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 z))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(neg.f64 (/.f64 z (/.f64 y (neg.f64 x))))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(-.f64 (+.f64 (*.f64 z (/.f64 x y)) t) 0)
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(.f64 1 (+.f64 (.f64 z (/.f64 x y)) t))
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(.f64 2 (/.f64 (+.f64 (.f64 z (/.f64 x y)) t) 2))
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(.f64 (.f64 (+.f64 (*.f64 z (/.f64 x y)) t) 2) 1/2)
(+.f64 (/.f64 (*.f64 z x) y) t)
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(.f64 1/2 (.f64 (+.f64 (*.f64 z (/.f64 x y)) t) 2))
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(+.f64 t (*.f64 z (/.f64 x y)))
(+.f64 t (*.f64 x (/.f64 z y)))
(.f64 (/.f64 (+.f64 (.f64 z (/.f64 x y)) t) 2) 2)
(+.f64 (/.f64 (*.f64 z x) y) t)
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(/.f64 (+.f64 (*.f64 z (/.f64 x y)) t) 1)
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (*.f64 z (/.f64 x y)))
(+.f64 t (*.f64 x (/.f64 z y)))
(/.f64 (.f64 (+.f64 (.f64 z (/.f64 x y)) t) 2) 2)
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(/.f64 (.f64 (+.f64 (.f64 z (/.f64 x y)) t) 4) 4)
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(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 z (/.f64 x y)) t) 4)) 8)
(+.f64 (/.f64 (*.f64 z x) y) t)
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(+.f64 t (*.f64 x (/.f64 z y)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 z (/.f64 x y)) t) 4)) (.f64 2 (.f64 (+.f64 (.f64 z (/.f64 x y)) t) 4))) 16)
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localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(*.f64 (/.f64 x y) (neg.f64 t))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational.json-simplify-50`
862×	`rational.json-simplify-61`
802×	`rational.json-simplify-53`
724×	`rational.json-simplify-35`
684×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	94	17
2	286	17
3	692	17
4	1813	17
5	5967	17

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

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

Outputs

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

simplify141.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1046×	`rational.json-simplify-35`
966×	`rational.json-simplify-2`
958×	`rational.json-simplify-50`
954×	`rational.json-simplify-1`
704×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	2285
1	1004	2285
2	3373	2279
3	5487	2279
4	7254	2279

Stop Event

1×	node limit

Counts

131 → 109

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(/.f64 (neg.f64 t) (/.f64 y x))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify128.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

86 → 53

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.6b	(/.f64 (neg.f64 x) (/.f64 y t))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

86 → 51

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 z y) x) t)
✓	5.8b	(*.f64 (/.f64 z y) x)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite107.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational.json-simplify-50`
700×	`rational.json-simplify-44`
666×	`rational.json-simplify-35`
662×	`rational.json-simplify-49`
638×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	91	32
2	265	32
3	630	32
4	1618	32
5	6099	32

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

Outputs

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

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1878×	`rational.json-simplify-35`
1074×	`rational.json-simplify-51`
1006×	`rational.json-simplify-44`
908×	`rational.json-simplify-50`
874×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	4578
1	1800	4442
2	6350	4424

Stop Event

1×	node limit

Counts

280 → 227

Calls

Call 1

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

eval1.4s (5.4%)

Compiler: Compiled 5631 to 2854 computations (49.3% saved)

prune170.0ms (0.7%)

Pruning

15 alts after pruning (2 fresh and 13 done)

	Pruned	Kept	Total
New	507	0	507
Fresh	0	2	2
Picked	0	1	1
Done	0	12	12
Total	507	15	522

Error

Counts

522 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.8b	(/.f64 (neg.f64 x) (/.f64 y t))
✓	51.1b	(/.f64 (neg.f64 t) (/.f64 y x))
✓	1.4b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
✓	12.9b	(+.f64 (/.f64 z (/.f64 y x)) t)
✓	14.9b	(+.f64 (/.f64 x (/.f64 y z)) t)
✓	14.9b	(+.f64 (*.f64 (/.f64 z y) x) t)
✓	1.6b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
	20.9b	(+.f64 (*.f64 (/.f64 -1 (neg.f64 (/.f64 y t))) (neg.f64 x)) t)
✓	12.9b	(+.f64 (*.f64 z (/.f64 x y)) t)
✓	20.9b	(+.f64 (neg.f64 (/.f64 x (/.f64 y t))) t)
✓	51.3b	(*.f64 (/.f64 x y) (neg.f64 t))
✓	51.8b	(*.f64 (/.f64 t y) (neg.f64 x))
✓	19.4b	(*.f64 t (-.f64 1 (/.f64 x y)))
✓	52.5b	(neg.f64 (/.f64 (*.f64 t x) y))
	30.4b	t

Compiler

Compiled 163 to 110 computations (32.5% saved)

regimes125.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

6 calls:

67.0ms	z
12.0ms	y
11.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
11.0ms	(/.f64 x y)
11.0ms	x

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`y`
1.4b	1	`z`
1.4b	1	`t`
1.4b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
1.4b	1	`(/.f64 x y)`

Compiler

Compiled 209 to 96 computations (54.1% saved)

regimes1.6s (6.3%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

6 calls:

1.3s	z
143.0ms	x
82.0ms	t
56.0ms	y
9.0ms	(/.f64 x y)

Results

Error	Segments	Branch
0.6b	3	`x`
1.6b	1	`y`
1.6b	1	`z`
0.6b	3	`t`
1.6b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
1.6b	1	`(/.f64 x y)`

Compiler

Compiled 164 to 78 computations (52.4% saved)

bsearch26.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	5.727391979375329e+244	2.930501711867893e+248
4.0ms	5.190317191599448e-56	1.6171274126908345e-51

Results

16.0ms	160×	body	256	valid
8.0ms	78×	body	256	infinite

Compiler

Compiled 300 to 194 computations (35.3% saved)

regimes57.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Error	Segments	Branch
1.6b	1	`x`
1.6b	1	`y`
1.6b	1	`z`
1.6b	1	`t`
1.6b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
1.6b	1	`(/.f64 x y)`

Compiler

Compiled 155 to 75 computations (51.6% saved)

regimes4.6s (17.6%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

5 calls:

3.8s	y
669.0ms	x
32.0ms	(/.f64 x y)
22.0ms	z
16.0ms	t

Results

Error	Segments	Branch
11.3b	2	`x`
9.4b	5	`y`
5.7b	3	`z`
9.6b	2	`t`
8.5b	5	`(/.f64 x y)`

Compiler

Compiled 133 to 64 computations (51.9% saved)

bsearch84.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	4.7694914273464144e-71	1.3716986170556249e-70
75.0ms	-5.768482605646266e-127	-3.5603532593399383e-128

Results

82.0ms

192×

body

256

valid

Compiler

Compiled 308 to 218 computations (29.2% saved)

regimes644.0ms (2.5%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

5 calls:

542.0ms	(/.f64 x y)
34.0ms	y
26.0ms	t
21.0ms	z
19.0ms	x

Results

Error	Segments	Branch
11.3b	2	`x`
9.7b	5	`y`
5.7b	3	`z`
8.7b	4	`t`
8.5b	5	`(/.f64 x y)`

Compiler

Compiled 103 to 53 computations (48.5% saved)

bsearch22.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	4.7694914273464144e-71	1.3716986170556249e-70
13.0ms	-5.768482605646266e-127	-3.5603532593399383e-128

Results

19.0ms	192×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 308 to 218 computations (29.2% saved)

regimes87.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	t
16.0ms	y
16.0ms	x
16.0ms	z
14.0ms	(/.f64 x y)

Results

Error	Segments	Branch
13.5b	2	`x`
11.8b	3	`y`
8.2b	3	`z`
10.0b	3	`t`
11.5b	3	`(/.f64 x y)`

Compiler

Compiled 82 to 46 computations (43.9% saved)

bsearch30.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.2166343090114548e-125	5.762554334252532e-118
12.0ms	-5.768482605646266e-127	-3.5603532593399383e-128

Results

27.0ms

256×

body

256

valid

Compiler

Compiled 404 to 286 computations (29.2% saved)

regimes29.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f64 t (-.f64 1 (/.f64 x y)))

Calls

5 calls:

6.0ms	x
5.0ms	(/.f64 x y)
5.0ms	z
5.0ms	y
5.0ms	t

Results

Error	Segments	Branch
19.4b	1	`x`
19.4b	1	`y`
19.4b	1	`z`
19.4b	1	`t`
19.4b	1	`(/.f64 x y)`

Compiler

Compiled 75 to 43 computations (42.7% saved)

regimes75.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (*.f64 t x) y))
t
(/.f64 (neg.f64 x) (/.f64 y t))

Calls

5 calls:

19.0ms	x
15.0ms	y
13.0ms	z
13.0ms	t
12.0ms	(/.f64 x y)

Results

Error	Segments	Branch
26.2b	3	`x`
27.4b	3	`y`
28.0b	3	`z`
29.4b	3	`t`
19.5b	3	`(/.f64 x y)`

Compiler

Compiled 68 to 40 computations (41.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	26681.01765027981	3877305431707.072
0.0ms	-2.8387017299762816e+23	-6779506102901882000.0

Compiler

Compiled 20 to 14 computations (30% saved)

regimes70.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (*.f64 t x) y))
t
(*.f64 (/.f64 t y) (neg.f64 x))

Calls

5 calls:

18.0ms	x
14.0ms	t
13.0ms	y
12.0ms	(/.f64 x y)
12.0ms	z

Results

Error	Segments	Branch
26.2b	3	`x`
27.4b	3	`y`
28.0b	3	`z`
29.4b	3	`t`
19.5b	3	`(/.f64 x y)`

Compiler

Compiled 62 to 38 computations (38.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	26681.01765027981	3877305431707.072
0.0ms	-2.8387017299762816e+23	-6779506102901882000.0

Compiler

Compiled 20 to 14 computations (30% saved)

regimes40.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(*.f64 t (/.f64 (neg.f64 x) y))
t
(neg.f64 (/.f64 (*.f64 t x) y))

Calls

4 calls:

11.0ms	t
10.0ms	y
9.0ms	x
9.0ms	z

Results

Error	Segments	Branch
26.2b	3	`x`
27.6b	3	`y`
28.3b	3	`z`
29.4b	3	`t`

Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch32.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.0733909357631062e+129	3.836715059103537e+132
14.0ms	-4.43595536652577e+142	-9.270405785395698e+141

Results

22.0ms	224×	body	256	valid
7.0ms	61×	body	256	infinite

Compiler

Compiled 258 to 196 computations (24% saved)

regimes43.0ms (0.2%)

Accuracy

Total -34.9b remaining (-128.4%)

Threshold costs -34.9b (-128.4%)

Counts

2 → 3

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (*.f64 t x) y))
t
(neg.f64 (/.f64 (*.f64 t x) y))

Calls

4 calls:

11.0ms	y
11.0ms	z
8.0ms	t
8.0ms	x

Results

Error	Segments	Branch
27.2b	3	`x`
27.8b	3	`y`
28.5b	3	`z`
29.4b	3	`t`

Compiler

Compiled 31 to 23 computations (25.8% saved)

bsearch32.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.0733909357631062e+129	3.836715059103537e+132
13.0ms	-4.43595536652577e+142	-9.270405785395698e+141

Results

23.0ms	224×	body	256	valid
5.0ms	57×	body	256	infinite

Compiler

Compiled 258 to 196 computations (24% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	624

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
(if (<=.f64 x 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 x 230000000000000021596734772037530351051304741596366529152211945211956735342436901530855294030471435385025639879067108984725215917989924329530918057652666128317531819646915424408852157050716072793024038878336409032252767326899607382385023166950932480) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t)))
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
(if (<=.f64 z -4511902201628583/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (+.f64 (/.f64 z (/.f64 y x)) t) (if (<=.f64 z 93248106826835/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (.f64 z (/.f64 x y)) t)))
(if (<=.f64 z -8901861100510447/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (+.f64 (.f64 z (/.f64 x y)) t) (if (<=.f64 z 3419097250317283/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (*.f64 z (/.f64 x y)) t)))
(if (<=.f64 z -865797449501701/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (+.f64 (.f64 x (/.f64 z y)) t) (if (<=.f64 z 8559252817305067/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (*.f64 x (/.f64 z y)) t)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(if (<=.f64 (/.f64 x y) -199999999999999983222784) (neg.f64 (/.f64 (*.f64 t x) y)) (if (<=.f64 (/.f64 x y) 50000) t (/.f64 (neg.f64 x) (/.f64 y t))))
(if (<=.f64 (/.f64 x y) -199999999999999983222784) (neg.f64 (/.f64 (.f64 t x) y)) (if (<=.f64 (/.f64 x y) 50000) t (.f64 (/.f64 t y) (neg.f64 x))))
(if (<=.f64 x -43000000000000001237668411275186191273135899032811748392330641026555879405500601855948927685606083447559877149641029530117805122664927556796416) (.f64 t (/.f64 (neg.f64 x) y)) (if (<=.f64 x 2300000000000000152276832289566644630506976795591616039914264911038604387803370141943574542756772302072856703798037779816638920523776) t (neg.f64 (/.f64 (.f64 t x) y))))
(if (<=.f64 x -36999999999999997412743879619072323751102613150806611640971860361028065929955285416745937486963053082817793227777611673065342585531468231999488) (neg.f64 (/.f64 (.f64 t x) y)) (if (<=.f64 x 2649999999999999983578754855536278736225321472482307777773792254364912585503497716781908129363777283762299221892932582382547673022464) t (neg.f64 (/.f64 (.f64 t x) y))))
t

Outputs
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
(if (<=.f64 x 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 x 230000000000000021596734772037530351051304741596366529152211945211956735342436901530855294030471435385025639879067108984725215917989924329530918057652666128317531819646915424408852157050716072793024038878336409032252767326899607382385023166950932480) (+.f64 (/.f64 x (/.f64 y (-.f64 z t))) t) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t)))
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
(if (<=.f64 z -4511902201628583/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (+.f64 (/.f64 z (/.f64 y x)) t) (if (<=.f64 z 93248106826835/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (.f64 z (/.f64 x y)) t)))
(if (<=.f64 z -8901861100510447/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (+.f64 (.f64 z (/.f64 x y)) t) (if (<=.f64 z 3419097250317283/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (*.f64 z (/.f64 x y)) t)))
(if (<=.f64 z -865797449501701/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (+.f64 (.f64 x (/.f64 z y)) t) (if (<=.f64 z 8559252817305067/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (*.f64 x (/.f64 z y)) t)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(if (<=.f64 (/.f64 x y) -199999999999999983222784) (neg.f64 (/.f64 (*.f64 t x) y)) (if (<=.f64 (/.f64 x y) 50000) t (/.f64 (neg.f64 x) (/.f64 y t))))
(if (<=.f64 (/.f64 x y) -199999999999999983222784) (neg.f64 (/.f64 (.f64 t x) y)) (if (<=.f64 (/.f64 x y) 50000) t (.f64 (/.f64 t y) (neg.f64 x))))
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(if (<=.f64 x -36999999999999997412743879619072323751102613150806611640971860361028065929955285416745937486963053082817793227777611673065342585531468231999488) (neg.f64 (/.f64 (.f64 t x) y)) (if (<=.f64 x 2649999999999999983578754855536278736225321472482307777773792254364912585503497716781908129363777283762299221892932582382547673022464) t (neg.f64 (/.f64 (.f64 t x) y))))
t

Compiler

Compiled 288 to 160 computations (44.4% saved)

soundness0.0ms (0%)

end82.0ms (0.3%)

Compiler: Compiled 244 to 91 computations (62.7% saved)