Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
100%	99.9%	0%	0.1%	0%	0%	0%	3

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample6.7s (25.4%)

Results

6.7s

8256×

body

256

valid

Bogosity

preprocess7.6s (28.7%)

Algorithm

2×	egg-herbie

Rules

41286×	`rational.json-simplify-41`
3752×	`rational.json-simplify-1`
1296×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	16	34
2	21	34
3	32	34
4	55	34
5	122	34
6	311	34
7	880	34
8	1126	34
9	1131	34
10	1136	34
11	1141	34
12	1146	34
13	1151	34
14	1156	34
15	1161	34
16	1166	34
17	1171	34
18	1176	34
19	1181	34
20	1186	34
21	1191	34
22	1196	34
23	1201	34
24	1206	34
25	1211	34
26	1216	34
27	1221	34
28	1226	34
29	1231	34
30	1236	34
31	1241	34
32	1246	34
33	1251	34
34	1256	34
35	1261	34
36	1266	34
37	1271	34
38	1276	34
39	1281	34
40	1286	34
41	1291	34
42	1296	34
43	4203	34
44	4208	34
45	4213	34
46	4218	34
47	4223	34
48	4228	34
49	4233	34
50	4238	34
51	4243	34
52	4248	34
53	4253	34
54	4258	34
55	4263	34
56	4268	34
57	4273	34
58	4278	34
59	5619	34
60	5624	34
61	5629	34
62	5634	34
63	5639	34
64	5644	34
65	5649	34
66	5654	34
67	5659	34
68	5664	34
69	5669	34
70	5674	34
71	5679	34
72	5684	34
73	5689	34
74	5694	34
75	5699	34
76	5704	34
77	5709	34
78	5714	34
79	5719	34
80	5724	34
81	5729	34
82	5734	34
83	5739	34
84	5744	34
85	5749	34
86	5754	34
87	5759	34
88	5764	34
89	5769	34
90	5774	34
91	5779	34
92	5784	34
93	5789	34
94	5794	34
95	5799	34
96	5804	34
97	5809	34
98	5814	34
99	5819	34
100	5824	34
101	5829	34
102	5834	34
103	5839	34
104	5844	34
105	5849	34
106	5854	34
107	5859	34
108	5864	34
109	5869	34
110	5874	34
111	5879	34
112	5884	34
113	5889	34
114	5894	34
115	5899	34
116	5904	34
117	5909	34
118	5914	34
119	5919	34
120	5924	34
121	5929	34
122	5934	34
123	5939	34
124	5944	34
125	5949	34
126	5954	34
127	5959	34
128	5964	34
129	5969	34
130	5974	34
131	5979	34
132	5984	34
133	5989	34
134	5994	34
135	5999	34
136	6004	34
137	6009	34
138	6014	34
139	6019	34
140	6024	34
141	6029	34
142	6034	34
143	6039	34
144	6044	34
145	6049	34
146	6054	34
147	6059	34
148	6064	34
149	6069	34
150	6074	34
151	6079	34
152	6084	34
153	6089	34
154	6094	34
155	6099	34
156	6104	34
157	6109	34
158	6114	34
159	6119	34
160	6124	34
161	6129	34
162	6134	34
163	6139	34
164	6144	34
165	6149	34
166	6154	34
167	6159	34
168	6164	34
169	6169	34
170	6174	34
171	6179	34
172	6184	34
173	6189	34
174	6194	34
175	6199	34
176	6204	34
177	6209	34
178	6214	34
179	6219	34
180	6224	34
181	6229	34
182	6234	34
183	6239	34
184	6244	34
185	6249	34
186	6254	34
187	6259	34
188	6264	34
189	6269	34
190	6274	34
191	6279	34
192	6284	34
193	6289	34
194	6294	34
195	6299	34
196	6304	34
197	6309	34
198	6314	34
199	6319	34
200	6324	34
201	6329	34
202	6334	34
203	6339	34
204	6344	34
205	6349	34
206	6354	34
207	6359	34
208	6364	34
209	6369	34
210	6374	34
211	6379	34
212	6384	34
213	6389	34
214	6394	34
215	6399	34
216	6404	34
217	6409	34
218	6414	34
219	6419	34
220	6424	34
221	6429	34
222	6434	34
223	6439	34
224	6444	34
225	6449	34
226	6454	34
227	6459	34
228	6464	34
229	6469	34
230	6474	34
231	6479	34
232	6484	34
233	6489	34
234	6494	34
235	6499	34
236	6504	34
237	6509	34
238	6514	34
239	6519	34
240	6524	34
241	6529	34
242	6534	34
243	6539	34
244	6544	34
245	6549	34
246	6554	34
247	6559	34
248	6564	34
249	6569	34
250	6574	34
251	6579	34
252	6584	34
253	6589	34
254	6594	34
255	6599	34
256	6604	34
257	6609	34
258	6614	34
259	6619	34
260	6624	34
261	6629	34
262	6634	34
263	6639	34
264	6644	34
265	6649	34
266	6654	34
267	6659	34
268	6664	34
269	6669	34
270	6674	34
271	6679	34
272	6684	34
273	6689	34
274	6694	34
275	6699	34
276	6704	34
277	6709	34
278	6714	34
279	6719	34
280	6724	34
281	6729	34
282	6734	34
283	6739	34
284	6744	34
285	6749	34
286	6754	34
287	6759	34
288	6764	34
289	6769	34
290	6774	34
291	6779	34
292	6784	34
293	6789	34
294	6794	34
295	6799	34
296	6804	34
297	6809	34
298	6814	34
299	6819	34
300	6824	34
301	6829	34
302	6834	34
303	6839	34
304	6844	34
305	6849	34
306	6854	34
307	6859	34
308	6864	34
309	6869	34
310	6874	34
311	6879	34
312	6884	34
313	6889	34
314	6894	34
315	6899	34
316	6904	34
317	6909	34
318	6914	34
319	6919	34
320	6924	34
321	6929	34
322	6934	34
323	6939	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify6.2s (23.3%)

Algorithm

1×	egg-herbie

Rules

20194×	`rational.json-simplify-41`
2374×	`rational.json-simplify-1`
648×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	12	17
2	15	17
3	22	17
4	37	17
5	81	17
6	205	17
7	588	17
8	753	17
9	756	17
10	759	17
11	762	17
12	765	17
13	768	17
14	771	17
15	774	17
16	777	17
17	780	17
18	783	17
19	786	17
20	789	17
21	792	17
22	795	17
23	2664	17
24	2667	17
25	2670	17
26	2673	17
27	2676	17
28	2679	17
29	3497	17
30	3500	17
31	3503	17
32	3506	17
33	3509	17
34	3512	17
35	3515	17
36	3518	17
37	3521	17
38	3524	17
39	3527	17
40	3530	17
41	3533	17
42	3536	17
43	3539	17
44	3542	17
45	3545	17
46	3548	17
47	3551	17
48	3554	17
49	3557	17
50	3560	17
51	3563	17
52	3566	17
53	3569	17
54	3572	17
55	3575	17
56	3578	17
57	3581	17
58	3584	17
59	3587	17
60	3590	17
61	3593	17
62	3596	17
63	3599	17
64	3602	17
65	3605	17
66	3608	17
67	3611	17
68	3614	17
69	3617	17
70	3620	17
71	3623	17
72	3626	17
73	3629	17
74	3632	17
75	3635	17
76	3638	17
77	3641	17
78	3644	17
79	3647	17
80	3650	17
81	3653	17
82	3656	17
83	3659	17
84	3662	17
85	3665	17
86	3668	17
87	3671	17
88	3674	17
89	3677	17
90	3680	17
91	3683	17
92	3686	17
93	3689	17
94	3692	17
95	3695	17
96	3698	17
97	3701	17
98	3704	17
99	3707	17
100	3710	17
101	3713	17
102	3716	17
103	3719	17
104	3722	17
105	3725	17
106	3728	17
107	3731	17
108	3734	17
109	3737	17
110	3740	17
111	3743	17
112	3746	17
113	3749	17
114	3752	17
115	3755	17
116	3758	17
117	3761	17
118	3764	17
119	3767	17
120	3770	17
121	3773	17
122	3776	17
123	3779	17
124	3782	17
125	3785	17
126	3788	17
127	3791	17
128	3794	17
129	3797	17
130	3800	17
131	3803	17
132	3806	17
133	3809	17
134	3812	17
135	3815	17
136	3818	17
137	3821	17
138	3824	17
139	3827	17
140	3830	17
141	3833	17
142	3836	17
143	3839	17
144	3842	17
145	3845	17
146	3848	17
147	3851	17
148	3854	17
149	3857	17
150	3860	17
151	3863	17
152	3866	17
153	3869	17
154	3872	17
155	3875	17
156	3878	17
157	3881	17
158	3884	17
159	3887	17
160	3890	17
161	3893	17
162	3896	17
163	3899	17
164	3902	17
165	3905	17
166	3908	17
167	3911	17
168	3914	17
169	3917	17
170	3920	17
171	3923	17
172	3926	17
173	3929	17
174	3932	17
175	3935	17
176	3938	17
177	3941	17
178	3944	17
179	3947	17
180	3950	17
181	3953	17
182	3956	17
183	3959	17
184	3962	17
185	3965	17
186	3968	17
187	3971	17
188	3974	17
189	3977	17
190	3980	17
191	3983	17
192	3986	17
193	3989	17
194	3992	17
195	3995	17
196	3998	17
197	4001	17
198	4004	17
199	4007	17
200	4010	17
201	4013	17
202	4016	17
203	4019	17
204	4022	17
205	4025	17
206	4028	17
207	4031	17
208	4034	17
209	4037	17
210	4040	17
211	4043	17
212	4046	17
213	4049	17
214	4052	17
215	4055	17
216	4058	17
217	4061	17
218	4064	17
219	4067	17
220	4070	17
221	4073	17
222	4076	17
223	4079	17
224	4082	17
225	4085	17
226	4088	17
227	4091	17
228	4094	17
229	4097	17
230	4100	17
231	4103	17
232	4106	17
233	4109	17
234	4112	17
235	4115	17
236	4118	17
237	4121	17
238	4124	17
239	4127	17
240	4130	17
241	4133	17
242	4136	17
243	4139	17
244	4142	17
245	4145	17
246	4148	17
247	4151	17
248	4154	17
249	4157	17
250	4160	17
251	4163	17
252	4166	17
253	4169	17
254	4172	17
255	4175	17
256	4178	17
257	4181	17
258	4184	17
259	4187	17
260	4190	17
261	4193	17
262	4196	17
263	4199	17
264	4202	17
265	4205	17
266	4208	17
267	4211	17
268	4214	17
269	4217	17
270	4220	17
271	4223	17
272	4226	17
273	4229	17
274	4232	17
275	4235	17
276	4238	17
277	4241	17
278	4244	17
279	4247	17
280	4250	17
281	4253	17
282	4256	17
283	4259	17
284	4262	17
285	4265	17
286	4268	17
287	4271	17
288	4274	17
289	4277	17
290	4280	17
291	4283	17
292	4286	17
293	4289	17
294	4292	17
295	4295	17
296	4298	17
297	4301	17
298	4304	17
299	4307	17
300	4310	17
301	4313	17
302	4316	17
303	4319	17
304	4322	17
305	4325	17
306	4328	17
307	4331	17
308	4334	17
309	4337	17
310	4340	17
311	4343	17
312	4346	17
313	4349	17
314	4352	17
315	4355	17
316	4358	17
317	4361	17
318	4364	17
319	4367	17
320	4370	17
321	4373	17
322	4376	17
323	4379	17

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series29.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
5.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`bool.json-1`
1752×	`bool.json-2`
1714×	`rational.json-1`
1714×	`rational.json-2`
1464×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	89	17
2	258	17
3	593	17
4	1468	17
5	4873	17

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (.f64 (.f64 2 (/.f64 1 (log.f64 10))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 4) (.f64 (/.f64 1 (.f64 (log.f64 10) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 4) (.f64 1/4 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 4) (.f64 1/2 (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan2.f64 im re)) (.f64 (/.f64 -1 (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 1 (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 (atan2.f64 im re) 2) (neg.f64 (.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)) (/.f64 1 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)) (/.f64 1/2 (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 8) (/.f64 1 (.f64 (log.f64 10) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (.f64 (log.f64 10) 2) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (.f64 (log.f64 10) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (neg.f64 (.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (log.f64 10))) (.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (.f64 (log.f64 10) 2) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule 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Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (*.f64 2 (/.f64 1 (log.f64 10))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 2 (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1 (*.f64 (log.f64 10) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (/.f64 -1 (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 1 (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 2 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (atan2.f64 im re) 2) (neg.f64 (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)) (/.f64 1 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)) (/.f64 1/2 (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (log.f64 10) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 10)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (log.f64 10) 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(atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 10)) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 10) 4)) (*.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 10)) (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1/2 (log.f64 10))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))))

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1112×	`rational.json-simplify-57`
1028×	`rational.json-simplify-2`
996×	`rational.json-simplify-55`
666×	`rational.json-simplify-35`
638×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	956
1	297	950
2	785	928
3	3049	928
4	6102	928

Stop Event

1×	node limit

Counts

52 → 58

Calls

Call 1

Inputs
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (atan2.f64 im re) (.f64 (*.f64 2 (/.f64 1 (log.f64 10))) 1/2))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 10)) 1/2))
(.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/2)
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 10) 4)))
(.f64 (.f64 (atan2.f64 im re) 4) (.f64 (/.f64 1 (.f64 (log.f64 10) 4)) 1))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 10))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 (/.f64 -1 (log.f64 10)) 1))
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(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(.f64 -1 (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) 1))
(.f64 -1 (/.f64 (.f64 (atan2.f64 im re) 2) (neg.f64 (*.f64 (log.f64 10) 2))))
(.f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)) (/.f64 1 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)))))
(.f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)) (/.f64 1/2 (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)))
(*.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) 1/4)
(.f64 (.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (log.f64 10) 8)))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) 2))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (.f64 (log.f64 10) 2) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (*.f64 (log.f64 10) -2)))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (neg.f64 (*.f64 (log.f64 10) 2))))
(.f64 (.f64 2 (/.f64 1 (log.f64 10))) (*.f64 (atan2.f64 im re) 1/2))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) -1)
(.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (.f64 (log.f64 10) 2) (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
(.f64 (.f64 (log.f64 10) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (/.f64 2 (log.f64 10)) (.f64 (atan2.f64 im re) 1/2))
(.f64 1/4 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 10)))
(.f64 (/.f64 1 (.f64 (log.f64 10) 4)) (*.f64 (atan2.f64 im re) 4))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 10)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))
(*.f64 (+.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1/2 (log.f64 10))) (atan2.f64 im re))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))

Outputs
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (atan2.f64 im re) (.f64 (*.f64 2 (/.f64 1 (log.f64 10))) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 10)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (.f64 (/.f64 1 (.f64 (log.f64 10) 4)) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 (/.f64 -1 (log.f64 10)) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 1 (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 -1 (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 -1 (/.f64 (.f64 (atan2.f64 im re) 2) (neg.f64 (*.f64 (log.f64 10) 2))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)) (/.f64 1 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)) (/.f64 1/2 (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) 1/4)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (log.f64 10) 8)))
(.f64 (atan2.f64 im re) (.f64 8 (/.f64 1/8 (log.f64 10))))
(.f64 (/.f64 1/8 (log.f64 10)) (.f64 (atan2.f64 im re) 8))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (.f64 (log.f64 10) 2) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (*.f64 (log.f64 10) -2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (neg.f64 (*.f64 (log.f64 10) 2))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 2 (/.f64 1 (log.f64 10))) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) -1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (.f64 (log.f64 10) 2) (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (log.f64 10) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 2 (log.f64 10)) (.f64 (atan2.f64 im re) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 1/4 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1 (.f64 (log.f64 10) 4)) (*.f64 (atan2.f64 im re) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 10)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))) (neg.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) (neg.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10))) (neg.f64 (atan2.f64 im re)))
(.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (+.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1/2 (log.f64 10))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))

eval14.0ms (0.1%)

Compiler: Compiled 761 to 498 computations (34.6% saved)

prune12.0ms (0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Error

0.8b

Counts

59 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	10.2b	(/.f64 (/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))) (neg.f64 (atan2.f64 im re)))
▶	10.6b	(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))
▶	1.2b	(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
▶	0.9b	(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
▶	10.6b	(.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))

Compiler

Compiled 196 to 138 computations (29.6% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10)))
✓	1.0b	(/.f64 1/2 (log.f64 10))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10)))
0.0ms	im	@	inf	(*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10)))
0.0ms	re	@	-inf	(*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10)))
0.0ms	im	@	-inf	(*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10)))
0.0ms	re	@	inf	(*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10)))

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational.json-simplify-35`
1238×	`bool.json-1`
1238×	`bool.json-2`
1198×	`rational.json-1`
1198×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	108	34
2	284	34
3	622	34
4	1402	34
5	3928	34

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(/.f64 1/2 (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (log.f64 10)) (/.f64 1/4 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 10) (/.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) 2) (/.f64 (/.f64 1/4 (log.f64 10)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/4 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 10)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) 4) (/.f64 1/2 (.f64 (log.f64 10) (.f64 (log.f64 10) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (log.f64 10) (.f64 (log.f64 10) (.f64 (log.f64 10) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 1/2 (log.f64 10)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (log.f64 10))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (log.f64 10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (log.f64 10)) (log.f64 10)) (.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 10) (.f64 (log.f64 10) (.f64 (log.f64 10) 8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (log.f64 10) (.f64 (log.f64 10) 4))) (.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 (log.f64 10)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1/2 (log.f64 10)) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1/2 (log.f64 10)) (/.f64 1/2 (log.f64 10)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 im re) (/.f64 1/4 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1/4 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (log.f64 10) (neg.f64 (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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(log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1836×	`rational.json-simplify-35`
1230×	`rational.json-simplify-49`
1174×	`rational.json-simplify-46`
1138×	`rational.json-simplify-44`
938×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	3254
1	683	3242
2	2024	3162
3	7871	3162

Stop Event

1×	node limit

Counts

134 → 120

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 1/2 (/.f64 1 (log.f64 10)))
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(*.f64 4 (/.f64 (/.f64 1/2 (log.f64 10)) 4))
(.f64 (.f64 2 (/.f64 1 (log.f64 10))) 1/4)
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(*.f64 (/.f64 1/4 (log.f64 10)) 2)
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(*.f64 (/.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (/.f64 (log.f64 10) (.f64 (log.f64 10) (*.f64 (log.f64 10) 8))) 4)
(.f64 (/.f64 1/2 (.f64 (log.f64 10) (.f64 (log.f64 10) 4))) (.f64 (log.f64 10) 4))
(*.f64 (/.f64 (/.f64 1/2 (log.f64 10)) 4) 4)
(neg.f64 (/.f64 -1/2 (log.f64 10)))
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(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)))

Outputs
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(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (neg.f64 (atan2.f64 im re)))) (.f64 2 (neg.f64 (neg.f64 (atan2.f64 im re))))) (*.f64 (log.f64 10) 8))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (+.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))) -2)
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (+.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 10)) (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 10))) 4)
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) -2)) (neg.f64 (/.f64 (atan2.f64 im re) -2))) (*.f64 (log.f64 10) 2))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (+.f64 (neg.f64 (neg.f64 (neg.f64 (atan2.f64 im re)))) (neg.f64 (neg.f64 (neg.f64 (atan2.f64 im re))))) (*.f64 2 (/.f64 (log.f64 10) -1/2)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(neg.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) -1/2)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)))
(*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re)))

localize84.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (atan2.f64 im re))
✓	0.4b	(/.f64 1 (/.f64 1 (atan2.f64 im re)))
✓	0.8b	(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
✓	1.0b	(/.f64 1 (log.f64 10))

Compiler

Compiled 39 to 26 computations (33.3% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	re	@	inf	(/.f64 1 (atan2.f64 im re))
0.0ms	im	@	inf	(/.f64 1 (atan2.f64 im re))
0.0ms	re	@	-inf	(/.f64 1 (atan2.f64 im re))
0.0ms	im	@	-inf	(/.f64 1 (atan2.f64 im re))
0.0ms	im	@	0	(/.f64 1 (atan2.f64 im re))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`bool.json-1`
1320×	`bool.json-2`
1286×	`rational.json-1`
1286×	`rational.json-2`
1286×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	139	48
2	384	48
3	906	48
4	3560	48

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

Inputs
(/.f64 1 (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(/.f64 1 (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (atan2.f64 im re))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1 (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (log.f64 10)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 1 (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (log.f64 10)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (/.f64 (.f64 2 (/.f64 (atan2.f64 im re) (atan2.f64 im re))) (.f64 (/.f64 1 (log.f64 10)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (/.f64 (.f64 2 (/.f64 (atan2.f64 im re) (atan2.f64 im re))) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 (atan2.f64 im re) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 10) 2) (.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 2) (.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 im re) 2) (.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 im re) 2) (.f64 (.f64 (log.f64 10) 2) (.f64 (atan2.f64 im re) (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 im re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 im re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (atan2.f64 im re)) 2) (/.f64 1 (.f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 2) (.f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (.f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (atan2.f64 im re)) 2)) (/.f64 (/.f64 1 (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (atan2.f64 im re)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (atan2.f64 im re) 2) (.f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))) (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (atan2.f64 im re)) 2) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (atan2.f64 im re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))) (.f64 (/.f64 1 (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (.f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))) (/.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (/.f64 1 (atan2.f64 im re))) (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 im re)))) (#(struct:change #<rule egg-rr> (2) ((x and (atan2.f64 im re) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x or (atan2.f64 im re) (atan2.f64 im re))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (atan2.f64 im re) (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 2) (/.f64 1 (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (atan2.f64 im re)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (/.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 2) (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (atan2.f64 im re)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 1 (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 1 (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (atan2.f64 im re)) 2)) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 2) (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))) (.f64 (atan2.f64 im re) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))) (.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) 2) (/.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (atan2.f64 im re)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 1 (atan2.f64 im re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (atan2.f64 im re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))))))

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1530×	`rational.json-simplify-57`
1318×	`rational.json-simplify-49`
1270×	`rational.json-simplify-35`
1160×	`rational.json-simplify-46`
732×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	3359
1	1123	3315
2	6046	3303

Stop Event

1×	node limit

Counts

219 → 180

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(+.f64 (/.f64 1 (log.f64 10)) 0)
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(-.f64 (/.f64 1 (log.f64 10)) 0)
(*.f64 1 (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 1 (log.f64 10)) 1)
(*.f64 2 (/.f64 (/.f64 1 (log.f64 10)) 2))
(.f64 (.f64 (/.f64 1 (log.f64 10)) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 1 (log.f64 10)) 2))
(*.f64 (/.f64 (/.f64 1 (log.f64 10)) 2) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (/.f64 (*.f64 2 (/.f64 (atan2.f64 im re) (atan2.f64 im re))) (/.f64 2 (log.f64 10))))
(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(/.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 1 (atan2.f64 im re))))
(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
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(/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (log.f64 10) (atan2.f64 im re)))
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(/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 2) (/.f64 2 (log.f64 10))))
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(/.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)) (/.f64 (.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))) (/.f64 2 (log.f64 10))))
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(/.f64 (.f64 (/.f64 1 (log.f64 10)) 2) (.f64 (/.f64 1 (atan2.f64 im re)) 2))
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(/.f64 -1 (*.f64 (log.f64 10) (neg.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 1 (atan2.f64 im re))) (/.f64 1 (log.f64 10))))
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Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(*.f64 2 (/.f64 (/.f64 1 (atan2.f64 im re)) 2))
(/.f64 1 (atan2.f64 im re))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 2 (*.f64 (atan2.f64 im re) (atan2.f64 im re)))))
(/.f64 1 (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1 (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))))
(/.f64 1 (atan2.f64 im re))
(.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 2) 1/2)
(/.f64 1 (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (/.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 2) (.f64 2 (*.f64 (atan2.f64 im re) (atan2.f64 im re)))))
(/.f64 1 (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)) (atan2.f64 im re))
(/.f64 1 (atan2.f64 im re))
(.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 4) 1/4)
(/.f64 1 (atan2.f64 im re))
(*.f64 -1 (neg.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(*.f64 (neg.f64 (/.f64 1 (atan2.f64 im re))) -1)
(/.f64 1 (atan2.f64 im re))
(.f64 (/.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) 2))
(/.f64 1 (atan2.f64 im re))
(.f64 1/2 (.f64 (/.f64 1 (atan2.f64 im re)) 2))
(/.f64 1 (atan2.f64 im re))
(.f64 (/.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (atan2.f64 im re)) 2)) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 2 (*.f64 (atan2.f64 im re) (atan2.f64 im re)))))
(/.f64 1 (atan2.f64 im re))
(.f64 (/.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 2) (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))) (*.f64 (atan2.f64 im re) (atan2.f64 im re)))
(/.f64 1 (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))) (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (atan2.f64 im re))
(.f64 (/.f64 1 (.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re)))) (.f64 (atan2.f64 im re) 2))
(/.f64 1 (atan2.f64 im re))
(.f64 (/.f64 (atan2.f64 im re) 2) (/.f64 2 (.f64 (atan2.f64 im re) (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) 2) 2)
(/.f64 1 (atan2.f64 im re))
(.f64 1/4 (.f64 (/.f64 1 (atan2.f64 im re)) 4))
(/.f64 1 (atan2.f64 im re))
(.f64 (/.f64 (atan2.f64 im re) (.f64 2 (*.f64 (atan2.f64 im re) (atan2.f64 im re)))) 2)
(/.f64 1 (atan2.f64 im re))
(.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 2 (*.f64 (atan2.f64 im re) (atan2.f64 im re)))) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (atan2.f64 im re)) 2)))
(/.f64 1 (atan2.f64 im re))
(neg.f64 (neg.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re)))

✓

0.9b

(/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))

✓

9.4b

(/.f64 (/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))) (neg.f64 (atan2.f64 im re)))

Compiler

Compiled 51 to 25 computations (51% saved)

series79.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
71.0ms	im	@	0	(/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re)))
1.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re)))
1.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re)))
1.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re)))
1.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re)))

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`bool.json-1`
1364×	`bool.json-2`
1334×	`rational.json-1`
1334×	`rational.json-2`
1334×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	103
1	141	103
2	474	71
3	1809	71
4	4902	71

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs

(/.f64 (/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))) (neg.f64 (atan2.f64 im re)))

(/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))

(/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 -1 (log.f64 10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 -1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (/.f64 1/2 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (*.f64 (/.f64 1/2 (neg.f64 (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (*.f64 1/2 (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -2)) (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (atan2.f64 im re)) (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (atan2.f64 im re))) (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 10)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))) (/.f64 0 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))) (/.f64 0 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))) (/.f64 0 (*.f64 (atan2.f64 im re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (atan2.f64 im re)) (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (*.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 10)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 10)) (*.f64 (/.f64 -1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (/.f64 (neg.f64 (log.f64 10)) (*.f64 (atan2.f64 im re) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) -2) (/.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) -2) (*.f64 1/2 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) -2) (*.f64 (/.f64 1/2 (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 (neg.f64 (log.f64 10)) (*.f64 (atan2.f64 im re) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (log.f64 10)) (*.f64 (atan2.f64 im re) (atan2.f64 im re))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (atan2.f64 im re)) (*.f64 (log.f64 10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 10)) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 (/.f64 -1 (atan2.f64 im re)) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (*.f64 (/.f64 1/2 (neg.f64 (atan2.f64 im re))) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 10)) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (*.f64 (atan2.f64 im re) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (atan2.f64 im re)) (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -2)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify171.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1598×	`rational.json-simplify-2`
1520×	`rational.json-simplify-35`
1024×	`rational.json-simplify-43`
862×	`rational.json-simplify-53`
808×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	3626
1	318	3578
2	785	3578
3	2985	3578
4	6432	3578

Stop Event

1×	node limit

Counts

158 → 90

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(.f64 (/.f64 -1 (atan2.f64 im re)) (.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))) -1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(.f64 1/2 (.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (*.f64 (atan2.f64 im re) 2))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (atan2.f64 im re)))

localize73.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
✓	0.2b	(.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
✓	0.9b	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	9.8b	(/.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re))))

Compiler

Compiled 86 to 46 computations (46.5% saved)

series15.0ms (0.1%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	im	@	-inf	(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
3.0ms	im	@	0	(/.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re))))
0.0ms	im	@	inf	(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
0.0ms	re	@	-inf	(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
0.0ms	re	@	inf	(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))

rewrite177.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`rational.json-simplify-35`
828×	`bool.json-1`
828×	`bool.json-2`
810×	`rational.json-1`
810×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	180
1	167	174
2	567	168
3	2053	120
4	6565	120

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re))))
(/.f64 (log.f64 10) (atan2.f64 im re))
(.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (.f64 (/.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (atan2.f64 im re)) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 10) (.f64 (/.f64 1 (.f64 (atan2.f64 im re) (atan2.f64 im re))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (atan2.f64 im re)) 2) (.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) 2) (/.f64 1 (.f64 (atan2.f64 im re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) 2) (.f64 (/.f64 1 (.f64 (atan2.f64 im re) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) 2) (.f64 1/2 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) 2) (.f64 (/.f64 1 (.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) 2))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 2) (.f64 1/2 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (.f64 (/.f64 1 (.f64 (atan2.f64 im re) 2)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (atan2.f64 im re) (atan2.f64 im re))) (.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (atan2.f64 im re)))))))
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simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1814×	`rational.json-simplify-35`
1222×	`rational.json-simplify-57`
1128×	`rational.json-simplify-53`
1026×	`rational.json-simplify-2`
670×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	4895
1	657	4685
2	2200	4541
3	4746	4541

Stop Event

1×	node limit

Counts

171 → 132

Calls

Call 1

Inputs
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(+.f64 0 (.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re)))))
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
(-.f64 (.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re)))) 0)
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re)))) 1)
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
(/.f64 (.f64 (log.f64 10) (.f64 (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) (atan2.f64 im re))) 2)) 2)
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
(/.f64 (.f64 (log.f64 10) 2) (.f64 2 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10)))))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (.f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))) (*.f64 (log.f64 10) 4)) 4)
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
(/.f64 (neg.f64 (log.f64 10)) (neg.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10)))))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (.f64 (log.f64 10) (.f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))) (.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re)))))) (.f64 (log.f64 10) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) (atan2.f64 im re)))))
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
(/.f64 (.f64 2 (.f64 (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))) (.f64 (log.f64 10) 4))) 8)
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))
(fabs.f64 (.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re)))))
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))

localize84.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2))))
✓	0.9b	(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
	0.9b	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	9.7b	(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))

Compiler

Compiled 87 to 53 computations (39.1% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2))))
0.0ms	im	@	inf	(/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2))))
0.0ms	re	@	-inf	(/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2))))
0.0ms	re	@	inf	(/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2))))
0.0ms	im	@	-inf	(/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) 1/2))))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1686×	`bool.json-1`
1686×	`bool.json-2`
1648×	`rational.json-1`
1648×	`rational.json-2`
1388×	`bool.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	147
1	164	147
2	489	123
3	1460	79
4	5175	79

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

Inputs

(*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 2 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))

(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))

(/.f64 2 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))))

Outputs

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simplify131.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-2`
758×	`rational.json-simplify-35`
714×	`rational.json-simplify-50`
708×	`rational.json-simplify-53`
532×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	5235
1	863	5159
2	3101	5121
3	6777	5113

Stop Event

1×	node limit

Counts

199 → 158

Calls

Call 1

Inputs
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (atan2.f64 im re))))
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(.f64 1 (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (/.f64 1/2 (log.f64 10)) (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 1 (log.f64 10)) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10)))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (/.f64 1/2 (log.f64 10)) (/.f64 (log.f64 10) (atan2.f64 im re))) 1))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 2 (.f64 4 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (/.f64 1 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 4)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 4 (log.f64 10)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))))
(.f64 (/.f64 4 (log.f64 10)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1/2 (.f64 (log.f64 10) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1/2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (log.f64 10) 2))))
(.f64 (atan2.f64 im re) (.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4)) (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (.f64 4 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1/2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (log.f64 10) 2))))
(.f64 (atan2.f64 im re) (.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4)) (log.f64 10))))
(.f64 (.f64 (/.f64 2 (log.f64 10)) (neg.f64 (atan2.f64 im re))) (/.f64 1 (neg.f64 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))))
(.f64 (.f64 (neg.f64 (atan2.f64 im re)) (/.f64 2 (log.f64 10))) (/.f64 1 (neg.f64 (*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re))))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 10))) (/.f64 1 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 10))) (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))))
(.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (.f64 (neg.f64 (log.f64 10)) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (neg.f64 (log.f64 10)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (log.f64 10))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)) (log.f64 10)))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) 1/2)) (/.f64 1 (.f64 (neg.f64 (log.f64 10)) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1/2))))
(.f64 (.f64 (atan2.f64 im re) -1/2) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) -1/2)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 -1 (/.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (neg.f64 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))))
(.f64 -1 (.f64 (/.f64 2 (log.f64 10)) (/.f64 (atan2.f64 im re) (neg.f64 (*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))))))
(neg.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))
(.f64 (/.f64 2 (log.f64 10)) (neg.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (.f64 (atan2.f64 im re) -1/2)))))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re)))))
(.f64 (.f64 1/2 (.f64 (atan2.f64 im re) 1/2)) (/.f64 2 (.f64 (log.f64 10) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1/2))))
(.f64 (.f64 (atan2.f64 im re) 1/4) (/.f64 2 (.f64 (log.f64 10) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1/2))))
(.f64 (.f64 (atan2.f64 im re) 1/4) (/.f64 (/.f64 2 (log.f64 10)) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1/2)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 4 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/4))
(.f64 (/.f64 2 (log.f64 10)) (.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10)))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (/.f64 2 (log.f64 10)) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/2)
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (/.f64 4 (log.f64 10)) (/.f64 (.f64 (atan2.f64 im re) 1/2) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (/.f64 1 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 4)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 4 (log.f64 10)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))))
(.f64 (/.f64 4 (log.f64 10)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (/.f64 1 (log.f64 10)) (/.f64 (.f64 (atan2.f64 im re) 1/2) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1/2)))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 2 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (/.f64 1/2 (log.f64 10)) (/.f64 (atan2.f64 im re) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1/2)))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (/.f64 (/.f64 1/2 (log.f64 10)) (/.f64 (log.f64 10) (atan2.f64 im re))) (.f64 (atan2.f64 im re) 2))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (/.f64 1 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) (atan2.f64 im re))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (/.f64 2 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) (*.f64 (atan2.f64 im re) 1/2))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 (/.f64 2 (log.f64 10)) (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (/.f64 2 (log.f64 10))))))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (/.f64 2 (log.f64 10)))))
(.f64 1/4 (/.f64 (.f64 (atan2.f64 im re) 2) (.f64 (log.f64 10) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1/2))))
(.f64 1/4 (/.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (log.f64 10)) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1/2)))
(.f64 1/4 (/.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1/2)))
(.f64 1/4 (/.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(fabs.f64 (*.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))

eval265.0ms (1%)

Compiler: Compiled 14730 to 9191 computations (37.6% saved)

prune152.0ms (0.6%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	725	17	742
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	728	20	748

Error

Counts

748 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))
	9.9b	(/.f64 (/.f64 (atan2.f64 im re) (+.f64 (-.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))) -1)) (neg.f64 (atan2.f64 im re)))
	5.4b	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 1 (atan2.f64 im re))))
▶	0.8b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))
	10.2b	(/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 10)))
	10.3b	(/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))) (atan2.f64 im re))
▶	1.3b	(/.f64 (log.f64 10) (/.f64 (/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
	1.4b	(/.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))
	1.1b	(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
	1.4b	(/.f64 1 (/.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (log.f64 10)))
▶	1.2b	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	5.6b	(.f64 (atan2.f64 im re) (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (/.f64 -1 (atan2.f64 im re))))
	10.5b	(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))))
	1.5b	(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))))
	12.9b	(*.f64 (/.f64 1 (log.f64 10)) (+.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re)))))
✓	0.9b	(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
▶	0.9b	(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
▶	10.6b	(*.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))
✓	10.6b	(.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
	4.5b	(.f64 (log.f64 10) (.f64 (atan2.f64 im re) (/.f64 1 (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))))))

Compiler

Compiled 636 to 466 computations (26.7% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))
✓	0.2b	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))
	1.0b	(/.f64 1 (log.f64 10))

Compiler

Compiled 44 to 31 computations (29.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	re	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
0.0ms	im	@	0	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
0.0ms	re	@	-inf	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))
0.0ms	im	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
0.0ms	im	@	-inf	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`bool.json-1`
1606×	`bool.json-2`
1578×	`rational.json-1`
1578×	`rational.json-2`
1278×	`bool.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	147	64
2	528	44
3	1853	44
4	5288	44

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (*.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (*.f64 (log.f64 10) (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 10) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (/.f64 1/2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (/.f64 1 (/.f64 (log.f64 10) (/.f64 (atan2.f64 im re) 2))) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 10)) (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 1/2 (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 1/2 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 10) (log.f64 10))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (log.f64 10) (log.f64 10))) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (/.f64 1/2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 1/2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (/.f64 1/2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (/.f64 1 (/.f64 (log.f64 10) (/.f64 (atan2.f64 im re) 2))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (/.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (*.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 10)) (*.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (log.f64 10)) (*.f64 (/.f64 1 (log.f64 10)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 10) (log.f64 10))) (*.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) 2) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 10)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))))

simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1236×	`rational.json-simplify-51`
1200×	`rational.json-simplify-2`
990×	`rational.json-simplify-35`
944×	`rational.json-simplify-43`
898×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	2555
1	276	2555
2	637	2555
3	1922	2555
4	5169	2555
5	7834	2555

Stop Event

1×	node limit

Counts

113 → 72

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
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(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
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(.f64 (.f64 (log.f64 10) 2) (/.f64 1/2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))))
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(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (*.f64 1/2 (log.f64 10)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) 2) 1))
(.f64 (/.f64 2 (log.f64 10)) (.f64 1/2 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 1 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)))
(.f64 (.f64 (log.f64 10) (log.f64 10)) (.f64 (/.f64 1 (log.f64 10)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10)))))
(.f64 (.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10))))
(.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 10))) (*.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)
(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(.f64 (/.f64 (log.f64 10) 2) (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) 2))
(.f64 (/.f64 1/2 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) (*.f64 (log.f64 10) 2))
(neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Outputs
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) 0)
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(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(+.f64 0 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) 0)
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
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(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (log.f64 10) (.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (/.f64 1 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (log.f64 10) (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) 1)
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 1 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (*.f64 (log.f64 10) (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 1/2 (.f64 (log.f64 10) (log.f64 10))) 1))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1 (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 1/2 (/.f64 1 (.f64 (log.f64 10) (log.f64 10)))))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (.f64 (log.f64 10) 2) (.f64 (/.f64 1/2 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) (/.f64 1 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (.f64 (log.f64 10) 2) (.f64 (/.f64 1 (/.f64 (log.f64 10) (/.f64 (atan2.f64 im re) 2))) (/.f64 1 (.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) 1/2)
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 1 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (/.f64 2 (log.f64 10)) (.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 1/2 (log.f64 10)))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 1/2 (log.f64 10)) 1))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 1/2 (/.f64 1 (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (.f64 (/.f64 (log.f64 10) 2) (/.f64 1 (.f64 (log.f64 10) (log.f64 10)))))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 10))) (atan2.f64 im re))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (neg.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10)))) -1)
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(.f64 (/.f64 1/2 (.f64 (log.f64 10) (log.f64 10))) (*.f64 (atan2.f64 im re) 2))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 0 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 10)) 1))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 1/2 (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (.f64 (log.f64 10) 2) (/.f64 1/2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (log.f64 10) 2) (.f64 1/2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (log.f64 10) 2) (.f64 (/.f64 1/2 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (log.f64 10) 2) (*.f64 (/.f64 1 (/.f64 (log.f64 10) (/.f64 (atan2.f64 im re) 2))) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (/.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (*.f64 1/2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) 2) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 2 (log.f64 10)) (.f64 1/2 (atan2.f64 im re)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 10)) 1/2))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 10)) 1/2))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 1 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (.f64 (log.f64 10) (log.f64 10)) (.f64 (/.f64 1 (log.f64 10)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 10))) (*.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 10)) 1/2))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 10))))
(.f64 (/.f64 (log.f64 10) 2) (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) 2))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (/.f64 1/2 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) (*.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	0.9b	(/.f64 (log.f64 10) (atan2.f64 im re))

Compiler

Compiled 25 to 15 computations (40% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
0.0ms	im	@	inf	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
0.0ms	im	@	-inf	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
0.0ms	re	@	inf	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
0.0ms	re	@	-inf	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`rational.json-simplify-50`
878×	`rational.json-simplify-35`
812×	`rational.json-simplify-46`
734×	`rational.json-simplify-1`
720×	`bool.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	118	17
2	352	17
3	810	17
4	2029	17
5	6074	17

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))) (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (*.f64 2 (/.f64 1 (log.f64 10))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 2 (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (*.f64 (/.f64 2 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (*.f64 (/.f64 1 (log.f64 10)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (log.f64 10)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (atan2.f64 im re) 2) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))) (*.f64 (*.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1 (*.f64 (log.f64 10) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (/.f64 -1 (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (*.f64 (/.f64 -1 (/.f64 -1 (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (/.f64 -1 (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (atan2.f64 im re))) (*.f64 (/.f64 (log.f64 10) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 10)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 10)) 1/2) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 -1 (atan2.f64 im re))) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 10) 4)) (*.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (atan2.f64 im re))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))))

simplify124.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational.json-simplify-35`
958×	`rational.json-simplify-55`
924×	`rational.json-simplify-2`
820×	`rational.json-simplify-1`
792×	`rational.json-simplify-59`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	109	1347
1	248	1341
2	554	1315
3	1926	1309
4	4164	1285
5	7826	1285

Stop Event

1×	node limit

Counts

69 → 55

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))))
(+.f64 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))) (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(-.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (atan2.f64 im re) (.f64 (*.f64 2 (/.f64 1 (log.f64 10))) 1/2))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 10)) 1/2))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (/.f64 2 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/2))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 10)) 1/2))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (.f64 (/.f64 1 (log.f64 10)) 1/2) 1))
(*.f64 2 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 2 (.f64 (/.f64 1/2 (log.f64 10)) (atan2.f64 im re)))
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))) 1))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) 2) (/.f64 1 (log.f64 10))))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/2))
(.f64 (.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))) (.f64 (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))) 1/2))
(*.f64 (/.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re))) 1/2)
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 10) 4)))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) 4) (.f64 (/.f64 1 (.f64 (log.f64 10) 4)) 1))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 10))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 -1 (/.f64 -1 (atan2.f64 im re))))
(.f64 (/.f64 1 (log.f64 10)) (.f64 (/.f64 -1 (/.f64 -1 (atan2.f64 im re))) 1))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 (/.f64 -1 (log.f64 10)) 1))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (.f64 (/.f64 (log.f64 10) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/2))
(*.f64 1/2 (/.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) 2))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) -1)
(.f64 (.f64 (/.f64 1 (log.f64 10)) 1/2) (*.f64 (atan2.f64 im re) 2))
(*.f64 (/.f64 -1 (/.f64 -1 (atan2.f64 im re))) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
(.f64 (/.f64 1 (.f64 (log.f64 10) 4)) (*.f64 (atan2.f64 im re) 4))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(neg.f64 (/.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re))))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (atan2.f64 im re))) (log.f64 10)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))) (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (atan2.f64 im re) (.f64 (*.f64 2 (/.f64 1 (log.f64 10))) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 10)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (/.f64 2 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/2))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 1/2 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 (log.f64 10) (atan2.f64 im re)))) (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 (log.f64 10) (atan2.f64 im re))) (*.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 1/2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 10)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (.f64 (/.f64 1 (log.f64 10)) 1/2) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 2 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 2 (.f64 (/.f64 1/2 (log.f64 10)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) 2) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))) (.f64 (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))) 1/2))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 1/2 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 (log.f64 10) (atan2.f64 im re)))) (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 (log.f64 10) (atan2.f64 im re))) (*.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 1/2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re))) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (.f64 (/.f64 1 (.f64 (log.f64 10) 4)) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 -1 (/.f64 -1 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1 (log.f64 10)) (.f64 (/.f64 -1 (/.f64 -1 (atan2.f64 im re))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 (/.f64 -1 (log.f64 10)) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (.f64 (/.f64 (log.f64 10) (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/2))
(.f64 (/.f64 (/.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (/.f64 (log.f64 10) (atan2.f64 im re))) (.f64 1/2 (*.f64 2 (/.f64 1 (atan2.f64 im re)))))
(.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (log.f64 10))))) (.f64 (/.f64 1 (atan2.f64 im re)) 1))
(.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))) (atan2.f64 im re))
(*.f64 1/2 (/.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) -1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (/.f64 1 (log.f64 10)) 1/2) (*.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 -1 (/.f64 -1 (atan2.f64 im re))) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1/2 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1 (.f64 (log.f64 10) 4)) (*.f64 (atan2.f64 im re) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (atan2.f64 im re))) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
✓	0.8b	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
✓	1.0b	(pow.f64 (log.f64 10) 2)

Compiler

Compiled 34 to 24 computations (29.4% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
0.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
0.0ms	re	@	-inf	(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational.json-simplify-50`
700×	`rational.json-simplify-44`
698×	`rational.json-simplify-49`
696×	`rational.json-simplify-35`
642×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	117	67
2	311	67
3	681	67
4	1689	67
5	6228	67

Stop Event

1×	node limit

Counts

3 → 273

Calls

Call 1

Inputs
(pow.f64 (log.f64 10) 2)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log.f64 10) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (log.f64 10) 2) 1/2) (*.f64 (pow.f64 (log.f64 10) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (log.f64 10) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 10) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (log.f64 10) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) 2) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (log.f64 10) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 10) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (log.f64 10) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 10) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 10) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 10) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 (log.f64 10) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 10) 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (log.f64 10) 2) (pow.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (log.f64 10) 2) (pow.f64 (log.f64 10) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))) (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 2 (pow.f64 (log.f64 10) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 1/2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1/2 (*.f64 2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1/2 (*.f64 2 (pow.f64 (log.f64 10) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (/.f64 -1 (pow.f64 (log.f64 10) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (/.f64 1 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (/.f64 2 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (atan2.f64 im re) -2) (*.f64 2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re))) (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re))) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) (pow.f64 (log.f64 10) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (pow.f64 (log.f64 10) 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (*.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 -1/2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 1 (*.f64 (pow.f64 (log.f64 10) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 -1 (*.f64 2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2))) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (*.f64 2 (pow.f64 (log.f64 10) 2)) (*.f64 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simplify133.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1590×	`rational.json-simplify-46`
1456×	`rational.json-simplify-49`
1294×	`rational.json-simplify-50`
1172×	`rational.json-simplify-53`
1110×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	558	10427
1	2046	10215
2	5488	10179

Stop Event

1×	node limit

Counts

297 → 325

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(neg.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (log.f64 10)))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(.f64 (.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (/.f64 (/.f64 2 (atan2.f64 im re)) (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re))))))
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 (log.f64 10)))) (-.f64 0 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))
(/.f64 (/.f64 (log.f64 10) 1/4) (/.f64 (pow.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) 4)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 4 (/.f64 (log.f64 10) 1/4)))
(/.f64 (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 8) (/.f64 1 (log.f64 10)))) (neg.f64 (.f64 (pow.f64 (log.f64 10) 2) 8)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (log.f64 10)))) (.f64 2 (pow.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (log.f64 10)))) (neg.f64 (.f64 (pow.f64 (log.f64 10) 2) -2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 2 (.f64 (atan2.f64 im re) 8)) (/.f64 1 (log.f64 10)))) (-.f64 0 (.f64 2 (.f64 (pow.f64 (log.f64 10) 2) 8))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 4 (neg.f64 (atan2.f64 im re))) (/.f64 1 (log.f64 10)))) (.f64 (pow.f64 (log.f64 10) 2) 4))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 4 (neg.f64 (atan2.f64 im re))) (/.f64 1 (log.f64 10)))) (-.f64 0 (.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) -2))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 4 (neg.f64 (atan2.f64 im re))) (/.f64 1 (log.f64 10)))) (-.f64 0 (.f64 2 (neg.f64 (*.f64 2 (pow.f64 (log.f64 10) 2))))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 4 (neg.f64 (atan2.f64 im re))) (/.f64 1 (log.f64 10)))) (-.f64 0 (neg.f64 (.f64 (pow.f64 (log.f64 10) 2) 4))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 2 (/.f64 2 (log.f64 10)))) (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 1 (/.f64 2 (log.f64 10)))) (-.f64 0 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 1/2 (atan2.f64 im re)))))
(/.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (/.f64 1/2 (*.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (log.f64 10) (/.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 1/2 (pow.f64 (log.f64 10) 2))))
(/.f64 (neg.f64 (/.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 2 (log.f64 10)))) (neg.f64 (pow.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (/.f64 2 (log.f64 10)))) (neg.f64 (.f64 2 (pow.f64 (log.f64 10) 2))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re))) (/.f64 2 (log.f64 10)))) (neg.f64 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(/.f64 (neg.f64 (.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10))))) (neg.f64 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(/.f64 (.f64 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 (log.f64 10) 2)) (neg.f64 (/.f64 2 (atan2.f64 im re)))) (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (.f64 (atan2.f64 im re) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 10) 2))))
(/.f64 (.f64 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 (log.f64 10) 2)) (neg.f64 (/.f64 2 (atan2.f64 im re)))) (.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (/.f64 (pow.f64 (log.f64 10) 2) (.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(/.f64 (neg.f64 (/.f64 4 (/.f64 2 (log.f64 10)))) (neg.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 2 (log.f64 10)))) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 2 (log.f64 10)))) (-.f64 0 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re))))))
(/.f64 (/.f64 (/.f64 (log.f64 10) 1/2) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (/.f64 (.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))) (/.f64 2 (log.f64 10)))) (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (.f64 (.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (/.f64 2 (log.f64 10)))))))
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))))))
(/.f64 (neg.f64 (/.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 10)) (pow.f64 (log.f64 10) 2))) (-.f64 0 (/.f64 -1 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (/.f64 (log.f64 10) 1/2)) (neg.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 10)))) (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(neg.f64 (/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(neg.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))

localize31.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.2b

(/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10)))

✓

0.7b

(/.f64 (log.f64 10) (/.f64 (/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))

0.8b

(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 61 to 45 computations (26.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10)))
1.0ms	im	@	-inf	(/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10)))
1.0ms	im	@	inf	(/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10)))
1.0ms	re	@	-inf	(/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10)))
1.0ms	im	@	0	(/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10)))

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`bool.json-1`
1422×	`bool.json-2`
1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	154	70
2	556	50
3	2044	50
4	5699	50

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(/.f64 (log.f64 10) (/.f64 (/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (*.f64 (/.f64 2 (log.f64 10)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 10) (*.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 4) (/.f64 1 (*.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 1/2) (/.f64 2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 10)) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (log.f64 10) 2) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 10)) (*.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1/2 (log.f64 10))) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 10) 2) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) (*.f64 (log.f64 10) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (*.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4)) (*.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (+.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 4) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 4) (*.f64 (log.f64 10) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 1/2) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (log.f64 10) 4) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (*.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 10) 4) (/.f64 (atan2.f64 im re) (log.f64 10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) (*.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))))))

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational.json-simplify-2`
1118×	`rational.json-simplify-51`
848×	`rational.json-simplify-43`
748×	`rational.json-simplify-35`
724×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	2485
1	199	2425
2	446	2425
3	1034	2425
4	4214	2425
5	7033	2425

Stop Event

1×	node limit

Counts

101 → 61

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 2)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(.f64 (log.f64 10) (.f64 (/.f64 2 (log.f64 10)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) 2) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1/2 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 2 (atan2.f64 im re)) (/.f64 1/2 (log.f64 10)))
(.f64 4 (/.f64 (log.f64 10) (.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4)))
(.f64 (.f64 (log.f64 10) 4) (/.f64 1 (.f64 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 2)) 2)
(.f64 (.f64 (log.f64 10) 1/2) (/.f64 2 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(.f64 (/.f64 2 (log.f64 10)) (.f64 (atan2.f64 im re) 1/2))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(.f64 1/2 (/.f64 (.f64 (log.f64 10) 2) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 2 (atan2.f64 im re)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1/2 (log.f64 10))) (*.f64 (log.f64 10) 2))
(.f64 (/.f64 (.f64 (log.f64 10) 2) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/2)
(.f64 (/.f64 2 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re)))) (*.f64 (log.f64 10) 1/2))
(.f64 (/.f64 (log.f64 10) (.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4)) 4)
(.f64 (/.f64 1 (.f64 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4)) (.f64 (log.f64 10) 4))
(+.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) 0)
(+.f64 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))
(+.f64 0 (.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))
(-.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) 0)
(.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
(.f64 2 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (.f64 (log.f64 10) 2) (/.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 (.f64 (log.f64 10) 2) (+.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(.f64 (.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) 1)
(.f64 (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
(.f64 1 (.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))
(.f64 (.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4) 1/2)
(.f64 4 (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(.f64 (.f64 (log.f64 10) 4) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))
(.f64 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 4) (*.f64 (log.f64 10) 1/2))
(.f64 (.f64 (log.f64 10) 1/2) (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 4))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (log.f64 10) 2))
(.f64 (.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))) (log.f64 10))
(.f64 1/2 (.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) 4))
(.f64 1/2 (/.f64 (.f64 (log.f64 10) 4) (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) 4)
(.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (.f64 (log.f64 10) 4))
(.f64 (/.f64 (.f64 (log.f64 10) 4) (/.f64 (atan2.f64 im re) (log.f64 10))) 1/2)
(.f64 (+.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) (.f64 (log.f64 10) 2))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
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(.f64 (log.f64 10) (.f64 4 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(.f64 (log.f64 10) (.f64 4 (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 2))))
(.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (.f64 (log.f64 10) 4))
(.f64 (+.f64 (log.f64 10) (log.f64 10)) (.f64 2 (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 2))))
(.f64 4 (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(.f64 (log.f64 10) (.f64 4 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(.f64 (log.f64 10) (.f64 4 (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 2))))
(.f64 (/.f64 (.f64 (log.f64 10) 4) (/.f64 (atan2.f64 im re) (log.f64 10))) 1/2)
(.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
(.f64 (/.f64 2 (atan2.f64 im re)) (.f64 (log.f64 10) (log.f64 10)))
(.f64 (.f64 (log.f64 10) (log.f64 10)) (/.f64 2 (atan2.f64 im re)))
(.f64 (log.f64 10) (.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (+.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) (.f64 (log.f64 10) 2))
(.f64 (+.f64 (log.f64 10) (log.f64 10)) (.f64 2 (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 2))))
(.f64 4 (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(.f64 (log.f64 10) (.f64 4 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(.f64 (log.f64 10) (.f64 4 (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 2))))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))
✓	0.8b	(/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))
	1.0b	(pow.f64 (log.f64 10) 2)
✓	9.8b	(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))
0.0ms	im	@	-inf	(/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))
0.0ms	im	@	-inf	(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))
0.0ms	im	@	-inf	(*.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))
0.0ms	im	@	inf	(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`rational.json-simplify-51`
878×	`rational.json-simplify-61`
772×	`rational.json-simplify-35`
706×	`rational.json-simplify-47`
602×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	133
1	171	121
2	530	121
3	1564	121
4	6200	121

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))

(/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))

(*.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))

Outputs

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(pow.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 10) (/.f64 (pow.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))) (*.f64 (log.f64 10) (/.f64 (pow.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))))))

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-2`
1222×	`rational.json-simplify-35`
1090×	`rational.json-simplify-53`
860×	`rational.json-simplify-50`
624×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	319	7417
1	1141	7411
2	3957	7401
3	5666	7395

Stop Event

1×	node limit

Counts

189 → 178

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)
(+.f64 0 (/.f64 (pow.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))
(-.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)
(.f64 1 (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))
(.f64 (atan2.f64 im re) (/.f64 2 (.f64 2 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)) (.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)))
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(.f64 2 (/.f64 (atan2.f64 im re) (.f64 2 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)) (.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 2 (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 2))
(*.f64 (pow.f64 (atan2.f64 im re) 2) (/.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 1)
(.f64 (.f64 2 (pow.f64 (atan2.f64 im re) 2)) (/.f64 1/2 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 2 (pow.f64 (atan2.f64 im re) 2)) (*.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (/.f64 1 (atan2.f64 im re))))
(.f64 (.f64 2 (pow.f64 (atan2.f64 im re) 2)) (.f64 (/.f64 1/2 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 1))
(*.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) 2))
(.f64 (/.f64 2 (atan2.f64 im re)) (.f64 (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) 2) 1))
(.f64 (/.f64 2 (atan2.f64 im re)) (.f64 1/2 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1 (.f64 2 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (/.f64 1 (atan2.f64 im re)))
(.f64 (.f64 2 (/.f64 (pow.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))) 1/2)
(.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 4) (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)) 4)))
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(/.f64 2 (/.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))) (/.f64 (log.f64 10) (atan2.f64 im re))))
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(/.f64 (pow.f64 (atan2.f64 im re) 2) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (/.f64 (pow.f64 (log.f64 10) 2) (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10)))
(/.f64 (.f64 (log.f64 10) (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))) 1)
(/.f64 (.f64 2 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (.f64 (atan2.f64 im re) (*.f64 2 (pow.f64 (log.f64 10) 2))) (log.f64 10)))
(/.f64 (.f64 2 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (.f64 2 (pow.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) (atan2.f64 im re))))
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(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 4 (/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)) 4) (/.f64 (log.f64 10) (atan2.f64 im re))))
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(/.f64 (*.f64 2 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))) (/.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) 4) (/.f64 (.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) 2) 4)) (log.f64 10)))
(/.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) 4) (/.f64 (.f64 (pow.f64 (log.f64 10) 2) 4) (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) 2)) 2)
(/.f64 (.f64 (log.f64 10) 2) (.f64 (atan2.f64 im re) (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) (pow.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 10) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)))))
(/.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) (pow.f64 (atan2.f64 im re) 2)) (log.f64 10)))
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(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (neg.f64 (pow.f64 (log.f64 10) 2))) (/.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) (atan2.f64 im re)) (log.f64 10)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) (atan2.f64 im re))))
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(/.f64 (.f64 2 (neg.f64 (pow.f64 (atan2.f64 im re) 2))) (/.f64 (.f64 (pow.f64 (log.f64 10) 2) -2) (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) 4)) 4)
(/.f64 (.f64 (log.f64 10) 4) (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)) (*.f64 (atan2.f64 im re) 4)))
(/.f64 (.f64 (log.f64 10) 4) (.f64 4 (*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))))
(/.f64 (*.f64 (log.f64 10) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(/.f64 (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) 1/4) (/.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 10)))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(/.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) (/.f64 2 (atan2.f64 im re))) (/.f64 (.f64 2 (pow.f64 (log.f64 10) 2)) (log.f64 10)))
(/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))
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(/.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (pow.f64 (atan2.f64 im re) 2))) (/.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) (log.f64 10)))
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(/.f64 (neg.f64 (log.f64 10)) (.f64 (neg.f64 (.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))) 1))
(/.f64 (.f64 2 (.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (.f64 (log.f64 10) 4))) 8)
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(/.f64 (/.f64 (.f64 (log.f64 10) 2) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))) (.f64 (atan2.f64 im re) 2))
(/.f64 (/.f64 (.f64 (log.f64 10) 2) (atan2.f64 im re)) (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))
(/.f64 (/.f64 (.f64 (log.f64 10) 4) (.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))) 4)
(/.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) 2)))
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(/.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (*.f64 2 (pow.f64 (log.f64 10) 2))) (/.f64 1/2 (pow.f64 (atan2.f64 im re) 2)))
(/.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2)))) 1/2)
(/.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 1 (pow.f64 (atan2.f64 im re) 2))) (pow.f64 (log.f64 10) 2))
(/.f64 (/.f64 (.f64 (log.f64 10) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))) (.f64 (atan2.f64 im re) 2)) 1/2)
(/.f64 (neg.f64 (.f64 (log.f64 10) 2)) (neg.f64 (.f64 (atan2.f64 im re) (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))))
(/.f64 (neg.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (/.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) (pow.f64 (atan2.f64 im re) 2)))
(/.f64 (neg.f64 (*.f64 (log.f64 10) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)))) (neg.f64 (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))

Outputs
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
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(*.f64 (log.f64 10) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (atan2.f64 im re)) (pow.f64 (log.f64 10) 2)))
(.f64 (log.f64 10) (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))
(/.f64 (neg.f64 (neg.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))
(*.f64 (log.f64 10) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (atan2.f64 im re)) (pow.f64 (log.f64 10) 2)))
(.f64 (log.f64 10) (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))

eval316.0ms (1.2%)

Compiler: Compiled 16849 to 12596 computations (25.2% saved)

prune183.0ms (0.7%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	880	5	885
Fresh	3	9	12
Picked	0	1	1
Done	0	7	7
Total	883	22	905

Error

Counts

905 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.8b	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
	0.8b	(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))
	5.4b	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 1 (atan2.f64 im re))))
✓	0.8b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))
	10.2b	(/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 10)))
▶	1.4b	(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
✓	1.3b	(/.f64 (log.f64 10) (/.f64 (/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
	1.4b	(/.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))
▶	0.7b	(/.f64 4 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10)))
▶	0.7b	(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
▶	1.1b	(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
	1.4b	(/.f64 1 (/.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (log.f64 10)))
✓	1.2b	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	5.6b	(.f64 (atan2.f64 im re) (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (/.f64 -1 (atan2.f64 im re))))
	10.5b	(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))))
	1.5b	(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))))
	12.9b	(*.f64 (/.f64 1 (log.f64 10)) (+.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re)))))
✓	0.9b	(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
✓	0.9b	(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
✓	10.6b	(*.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))
✓	10.6b	(.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))

Compiler

Compiled 582 to 453 computations (22.2% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
	0.8b	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
	1.0b	(/.f64 1 (log.f64 10))
	1.0b	(pow.f64 (log.f64 10) 2)

Compiler

Compiled 71 to 55 computations (22.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
0.0ms	re	@	-inf	(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
0.0ms	im	@	inf	(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
0.0ms	im	@	-inf	(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
0.0ms	re	@	inf	(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2022×	`bool.json-1`
2022×	`bool.json-2`
1636×	`bool.json-3`
890×	`rational.json-simplify-35`
752×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	181	39
2	558	33
3	1705	33
4	5648	33

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

Inputs
(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1/4 (*.f64 (/.f64 1 (log.f64 10)) (*.f64 (pow.f64 (log.f64 10) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1/4 (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (*.f64 2 (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 8 (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 10) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (/.f64 1/2 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (*.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (*.f64 (/.f64 1/2 (/.f64 1 (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 8 (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (/.f64 2 (/.f64 4 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (/.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (/.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 2 (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (*.f64 (/.f64 1 (/.f64 1 (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 2 (/.f64 8 (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/4) (*.f64 (/.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) 1/2)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/4) (/.f64 1 (*.f64 (/.f64 1 (log.f64 10)) (*.f64 (pow.f64 (log.f64 10) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/4) (/.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/4) (/.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/4) (/.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 1 (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (*.f64 (/.f64 1 (log.f64 10)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (/.f64 4 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (log.f64 10)) (/.f64 (*.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (*.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (*.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) 2) 1/4)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 10)) (*.f64 (pow.f64 (log.f64 10) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (neg.f64 (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 -4 (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 10)) (/.f64 1 (/.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (*.f64 (/.f64 1 (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (neg.f64 (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (/.f64 -4 (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1 (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (*.f64 2 (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (/.f64 8 (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (/.f64 1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (log.f64 10))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) 2) 1/4)) (/.f64 1/4 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 10) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1 (log.f64 10))) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 10)) (*.f64 (pow.f64 (log.f64 10) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 4 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (*.f64 (atan2.f64 im re) (/.f64 2 (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) 1/2)) (*.f64 (atan2.f64 im re) (/.f64 1/4 (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))))

simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1572×	`rational.json-simplify-2`
1298×	`rational.json-simplify-61`
1258×	`rational.json-simplify-35`
926×	`rational.json-simplify-51`
880×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	2817
1	554	2817
2	1411	2817
3	4613	2817
4	7539	2817

Stop Event

1×	node limit

Counts

97 → 74

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(*.f64 (atan2.f64 im re) (/.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))))
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(*.f64 (atan2.f64 im re) (/.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10))))
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(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
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(.f64 2 (/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 2))
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(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))
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(.f64 (/.f64 2 (.f64 (pow.f64 (log.f64 10) 2) 1/2)) (*.f64 (atan2.f64 im re) (/.f64 1/4 (/.f64 1 (log.f64 10)))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
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(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
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(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (atan2.f64 im re) 1/4) (/.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 (log.f64 10) 2))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (atan2.f64 im re) 1/4) (/.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 1 (*.f64 4 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (.f64 2 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10))))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 (log.f64 10) 2))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (*.f64 (/.f64 1 (log.f64 10)) 4)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (/.f64 4 (log.f64 10))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 4 (log.f64 10)) (/.f64 (*.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 1))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/4 (.f64 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) 2) 1/4)) (log.f64 10)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/4 (/.f64 (atan2.f64 im re) (.f64 (/.f64 1 (log.f64 10)) (*.f64 (pow.f64 (log.f64 10) 2) 1/4))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/4 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (.f64 4 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/4 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (.f64 4 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/4 (/.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 (log.f64 10) 2))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 -1 (/.f64 (atan2.f64 im re) (.f64 (/.f64 1 (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (neg.f64 (/.f64 1 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 -4 (.f64 4 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (neg.f64 (log.f64 10)) (/.f64 1 (/.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (.f64 (/.f64 1 (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (neg.f64 (/.f64 1 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (/.f64 -4 (.f64 4 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1 (*.f64 4 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (*.f64 2 (/.f64 1 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (/.f64 8 (*.f64 4 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (/.f64 1 (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 1 (/.f64 1 (log.f64 10))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 10) 2) 1/4)) (/.f64 1/4 (/.f64 1 (log.f64 10))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))) 1/2)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/2 (.f64 (log.f64 10) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/2 (/.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/2 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (.f64 (log.f64 10) 2))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 1/2 (/.f64 1 (log.f64 10))) (/.f64 (.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 2 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))) (*.f64 (log.f64 10) 2))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/8 (/.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 1 (log.f64 10)) (.f64 (pow.f64 (log.f64 10) 2) 1/4))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 1/8 (/.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 4 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (.f64 (atan2.f64 im re) (/.f64 2 (/.f64 1 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 2 (.f64 (pow.f64 (log.f64 10) 2) 1/2)) (*.f64 (atan2.f64 im re) (/.f64 1/4 (/.f64 1 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (atan2.f64 im re))
✓	0.4b	(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
✓	0.8b	(*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	re	@	inf	(/.f64 2 (atan2.f64 im re))
0.0ms	re	@	-inf	(/.f64 2 (atan2.f64 im re))
0.0ms	im	@	inf	(/.f64 2 (atan2.f64 im re))
0.0ms	im	@	-inf	(/.f64 2 (atan2.f64 im re))
0.0ms	im	@	0	(/.f64 2 (atan2.f64 im re))

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2204×	`bool.json-1`
1420×	`rational.json-simplify-35`
1030×	`bool.json-2`
992×	`rational.json-1`
992×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	122	65
2	360	53
3	998	53
4	3232	53
5	7811	53

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs
(*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))
(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
(/.f64 2 (atan2.f64 im re))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (atan2.f64 im re))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re)))))))

simplify124.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1582×	`rational.json-simplify-38`
1022×	`rational.json-simplify-43`
820×	`rational.json-simplify-35`
776×	`rational.json-simplify-41`
690×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	4128
1	836	4076
2	2532	4064
3	4431	4064
4	6258	4064

Stop Event

1×	node limit

Counts

186 → 156

Calls

Call 1

Inputs
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))) 0)
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(-.f64 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))) 0)
(-.f64 0 (neg.f64 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (log.f64 10) (+.f64 (.f64 (.f64 (atan2.f64 im re) 1/2) 1/2) (.f64 (.f64 (atan2.f64 im re) 1/2) 1/2)))
(/.f64 (log.f64 10) (+.f64 (.f64 (atan2.f64 im re) 1/4) (.f64 (atan2.f64 im re) 1/4)))
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(/.f64 2 (+.f64 (/.f64 (/.f64 2 (log.f64 10)) (.f64 2 (/.f64 2 (atan2.f64 im re)))) (/.f64 (/.f64 2 (log.f64 10)) (.f64 2 (/.f64 2 (atan2.f64 im re))))))
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Outputs
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(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
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(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
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(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (neg.f64 (/.f64 4 (atan2.f64 im re))) (/.f64 -2 (log.f64 10)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (neg.f64 (/.f64 8 (atan2.f64 im re))) (neg.f64 (/.f64 4 (log.f64 10))))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (neg.f64 (/.f64 -4 (atan2.f64 im re))) (/.f64 2 (log.f64 10)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))) (-.f64 0 (.f64 (.f64 (atan2.f64 im re) 1/2) (*.f64 (atan2.f64 im re) 1/2))))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 2 (atan2.f64 im re))))) (/.f64 2 (log.f64 10)))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(neg.f64 (neg.f64 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(neg.f64 (*.f64 (/.f64 2 (atan2.f64 im re)) (neg.f64 (log.f64 10))))
(*.f64 2 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 2 (atan2.f64 im re)) (/.f64 1/2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 2 (log.f64 10)) (.f64 (atan2.f64 im re) 1/2))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 10))))
(.f64 (/.f64 4 (log.f64 10)) (.f64 (*.f64 (atan2.f64 im re) 1/2) 1/2))
(.f64 (.f64 1/2 (*.f64 (atan2.f64 im re) 1/2)) (/.f64 4 (log.f64 10)))
(.f64 (atan2.f64 im re) (.f64 1/4 (/.f64 4 (log.f64 10))))
(.f64 (/.f64 4 (log.f64 10)) (.f64 (atan2.f64 im re) 1/4))
(.f64 (.f64 1/2 (*.f64 (atan2.f64 im re) 1/2)) (/.f64 4 (log.f64 10)))
(.f64 (atan2.f64 im re) (.f64 1/4 (/.f64 4 (log.f64 10))))
(.f64 (/.f64 4 (log.f64 10)) (/.f64 2 (.f64 (/.f64 2 (atan2.f64 im re)) 4)))
(.f64 (/.f64 2 (.f64 (/.f64 2 (atan2.f64 im re)) 4)) (/.f64 4 (log.f64 10)))
(*.f64 (/.f64 1/2 (/.f64 2 (atan2.f64 im re))) (/.f64 4 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) 4) (/.f64 4 (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 10) 4)))
(.f64 (atan2.f64 im re) (.f64 4 (/.f64 (/.f64 1 (log.f64 10)) 4)))
(.f64 (atan2.f64 im re) (.f64 4 (/.f64 1/4 (log.f64 10))))
(.f64 4 (.f64 (atan2.f64 im re) (/.f64 1/4 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1/4 (log.f64 10)))
(*.f64 (/.f64 -2 (log.f64 10)) (/.f64 -1 (/.f64 2 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 10)))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 10))))
(*.f64 -1 (/.f64 (/.f64 -2 (log.f64 10)) (/.f64 2 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 10))))
(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 10))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 2 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (/.f64 -2 (log.f64 10)) (/.f64 2 (atan2.f64 im re))) -1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 2 (.f64 (/.f64 2 (atan2.f64 im re)) 4)) (/.f64 4 (log.f64 10)))
(*.f64 (/.f64 1/2 (/.f64 2 (atan2.f64 im re))) (/.f64 4 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) 4) (/.f64 4 (log.f64 10)))
(.f64 (/.f64 1 (.f64 (log.f64 10) 4)) (*.f64 (atan2.f64 im re) 4))
(.f64 (atan2.f64 im re) (.f64 4 (/.f64 (/.f64 1 (log.f64 10)) 4)))
(.f64 (atan2.f64 im re) (.f64 4 (/.f64 1/4 (log.f64 10))))
(.f64 4 (.f64 (atan2.f64 im re) (/.f64 1/4 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1/4 (log.f64 10)))
(*.f64 (/.f64 -1 (/.f64 2 (atan2.f64 im re))) (/.f64 -2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (/.f64 -2 (log.f64 10)) (/.f64 2 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 2 (atan2.f64 im re)) 0)
(/.f64 2 (atan2.f64 im re))
(+.f64 0 (/.f64 2 (atan2.f64 im re)))
(/.f64 2 (atan2.f64 im re))
(+.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))
(/.f64 2 (atan2.f64 im re))
(-.f64 (/.f64 2 (atan2.f64 im re)) 0)
(/.f64 2 (atan2.f64 im re))
(-.f64 0 (neg.f64 (/.f64 2 (atan2.f64 im re))))
(/.f64 2 (atan2.f64 im re))
(*.f64 2 (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 2 (atan2.f64 im re)) 1)
(/.f64 2 (atan2.f64 im re))
(*.f64 1 (/.f64 2 (atan2.f64 im re)))
(/.f64 2 (atan2.f64 im re))
(.f64 (.f64 2 (/.f64 2 (atan2.f64 im re))) 1/2)
(/.f64 2 (atan2.f64 im re))
(*.f64 (neg.f64 (/.f64 2 (atan2.f64 im re))) -1)
(/.f64 2 (atan2.f64 im re))
(*.f64 -1 (neg.f64 (/.f64 2 (atan2.f64 im re))))
(/.f64 2 (atan2.f64 im re))
(*.f64 (/.f64 1 (atan2.f64 im re)) 2)
(*.f64 2 (/.f64 1 (atan2.f64 im re)))
(.f64 1/2 (.f64 2 (/.f64 2 (atan2.f64 im re))))
(/.f64 2 (atan2.f64 im re))
(neg.f64 (neg.f64 (/.f64 2 (atan2.f64 im re))))
(/.f64 2 (atan2.f64 im re))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
✓	0.8b	(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
	1.0b	(pow.f64 (log.f64 10) 2)

Compiler

Compiled 34 to 24 computations (29.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
0.0ms	im	@	0	(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
0.0ms	re	@	-inf	(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
0.0ms	im	@	-inf	(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
0.0ms	im	@	inf	(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1732×	`rational.json-simplify-35`
1164×	`bool.json-1`
1164×	`bool.json-2`
1136×	`rational.json-1`
1136×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	121	56
2	366	56
3	992	56
4	3183	56

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) 2) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 10) 2)) (/.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 10) 2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) 2) 4) (/.f64 1 (*.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) (/.f64 -1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 10) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (atan2.f64 im re)) (*.f64 2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 10) 2) (*.f64 2 (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 10) 2) 2) (*.f64 2 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (atan2.f64 im re) 4)) (*.f64 (pow.f64 (log.f64 10) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 10) (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 (/.f64 (log.f64 10) 2) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (/.f64 (*.f64 (pow.f64 (log.f64 10) 2) 4) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 4) (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 10)) (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 2 (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 10) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 2) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (log.f64 10) 2) (pow.f64 (log.f64 10) 2)) (*.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 (log.f64 10))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (/.f64 1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re))) (/.f64 1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (pow.f64 (log.f64 10) 2) 4) (log.f64 10))) (*.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4)) (*.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) (neg.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))))

simplify149.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational.json-simplify-53`
968×	`rational.json-simplify-1`
864×	`rational.json-simplify-2`
768×	`rational.json-simplify-55`
614×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	2509
1	273	2509
2	668	2509
3	2390	2461
4	3896	2461
5	5636	2461
6	7199	2461

Stop Event

1×	node limit

Counts

95 → 74

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 0)
(+.f64 0 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(-.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 0)
(-.f64 0 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))
(.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (.f64 2 (atan2.f64 im re))))
(*.f64 2 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 2))
(*.f64 (pow.f64 (log.f64 10) 2) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(.f64 (.f64 2 (pow.f64 (log.f64 10) 2)) (/.f64 1/2 (atan2.f64 im re)))
(.f64 (.f64 2 (pow.f64 (log.f64 10) 2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 1/2)
(.f64 (.f64 (pow.f64 (log.f64 10) 2) 4) (/.f64 1 (*.f64 (atan2.f64 im re) 4)))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4) 1/4)
(*.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))
(*.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))) -1)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 10) 2) 2))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 2 (pow.f64 (log.f64 10) 2)))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 2 (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (pow.f64 (log.f64 10) 2) (.f64 2 (atan2.f64 im re))) 2)
(.f64 1/4 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4))
(.f64 (/.f64 (pow.f64 (log.f64 10) 2) 2) (.f64 2 (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 2) 2)
(.f64 (/.f64 1 (.f64 (atan2.f64 im re) 4)) (*.f64 (pow.f64 (log.f64 10) 2) 4))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 10) 2)))
(neg.f64 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))
(+.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)
(+.f64 0 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))
(-.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 2 (/.f64 (log.f64 10) (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10)))))
(.f64 2 (/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 2))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 1)
(.f64 1 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 2 (atan2.f64 im re)) (/.f64 (/.f64 (log.f64 10) 2) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) 2) (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 2))
(.f64 (.f64 (log.f64 10) 2) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (/.f64 (*.f64 (pow.f64 (log.f64 10) 2) 4) (log.f64 10))))
(.f64 (.f64 (log.f64 10) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))) 1/2)
(.f64 (.f64 (log.f64 10) 4) (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))))
(*.f64 (neg.f64 (log.f64 10)) (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 2 (/.f64 2 (log.f64 10))))
(*.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (atan2.f64 im re))
(*.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 -1 (/.f64 (neg.f64 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re))))
(.f64 1/2 (.f64 (log.f64 10) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 2) (.f64 (log.f64 10) 2))
(.f64 (/.f64 (/.f64 (log.f64 10) 2) (pow.f64 (log.f64 10) 2)) (.f64 2 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2) (*.f64 (log.f64 10) 2))
(*.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 2 (/.f64 2 (log.f64 10))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (neg.f64 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) -1)
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (/.f64 1 (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re))) (/.f64 1 (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (log.f64 10) (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))) 2)
(.f64 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10)))) 2)
(.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (log.f64 10) 2) 4) (log.f64 10))) (*.f64 (atan2.f64 im re) 4))
(.f64 (/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4)) (*.f64 (log.f64 10) 4))
(*.f64 (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) (neg.f64 (log.f64 10)))
(neg.f64 (/.f64 (neg.f64 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 0)
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(+.f64 0 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(-.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 0)
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(-.f64 0 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (.f64 2 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 2 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 2))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 10) 2) (/.f64 1 (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 1)
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (.f64 2 (pow.f64 (log.f64 10) 2)) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (.f64 2 (pow.f64 (log.f64 10) 2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 1/2)
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 10) 2) 4) (/.f64 1 (*.f64 (atan2.f64 im re) 4)))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4) 1/4)
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 (neg.f64 (pow.f64 (log.f64 10) 2)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))) -1)
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 10) 2) 2))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 2 (pow.f64 (log.f64 10) 2)))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 2 (pow.f64 (log.f64 10) 2)))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (/.f64 (pow.f64 (log.f64 10) 2) (.f64 2 (atan2.f64 im re))) 2)
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 1/4 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (/.f64 (pow.f64 (log.f64 10) 2) 2) (.f64 2 (/.f64 1 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 2) 2)
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(.f64 (/.f64 1 (.f64 (atan2.f64 im re) 4)) (*.f64 (pow.f64 (log.f64 10) 2) 4))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 10) 2)))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(neg.f64 (/.f64 (pow.f64 (log.f64 10) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))
(+.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(+.f64 0 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(-.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 0)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 2 (/.f64 (log.f64 10) (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10)))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 2 (/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 2))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 1)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 1 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 2 (atan2.f64 im re)) (/.f64 (/.f64 (log.f64 10) 2) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) 2) (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 2))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) 2) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (/.f64 (*.f64 (pow.f64 (log.f64 10) 2) 4) (log.f64 10))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))) 1/2)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) 4) (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (neg.f64 (log.f64 10)) (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 2 (/.f64 2 (log.f64 10))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (atan2.f64 im re))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 -1 (/.f64 (neg.f64 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 10)) (pow.f64 (log.f64 10) 2))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 10)) (pow.f64 (log.f64 10) 2))
(.f64 1/2 (.f64 (log.f64 10) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 10) 2))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 2) (.f64 (log.f64 10) 2))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (/.f64 (log.f64 10) 2) (pow.f64 (log.f64 10) 2)) (.f64 2 (atan2.f64 im re)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2) (*.f64 (log.f64 10) 2))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 2 (/.f64 2 (log.f64 10))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (neg.f64 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) -1)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (/.f64 1 (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 10)) (pow.f64 (log.f64 10) 2))
(*.f64 (/.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re))) (/.f64 1 (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 10)) (pow.f64 (log.f64 10) 2))
(.f64 (/.f64 (log.f64 10) (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))) 2)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (log.f64 10)))) 2)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (log.f64 10) 2) 4) (log.f64 10))) (*.f64 (atan2.f64 im re) 4))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) 2) 2)
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 1 (.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) 4)) (*.f64 (log.f64 10) 4))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10))) (neg.f64 (atan2.f64 im re)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 -1 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) (neg.f64 (log.f64 10)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(neg.f64 (/.f64 (neg.f64 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
	0.8b	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
	1.0b	(/.f64 1 (log.f64 10))
	1.0b	(pow.f64 (log.f64 10) 2)

Compiler

Compiled 41 to 31 computations (24.4% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
0.0ms	im	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
0.0ms	im	@	-inf	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
0.0ms	re	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
0.0ms	re	@	-inf	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1976×	`bool.json-1`
1976×	`bool.json-2`
1682×	`bool.json-3`
736×	`rational.json-simplify-35`
712×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	152	33
2	492	33
3	1469	33
4	5683	33

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 10) (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 1 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (/.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (*.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (*.f64 (/.f64 (log.f64 10) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (log.f64 10) (*.f64 2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (log.f64 10) (*.f64 2 (pow.f64 (log.f64 10) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 1 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 4) (/.f64 1 (*.f64 (/.f64 1 (log.f64 10)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (pow.f64 (log.f64 10) 2) (*.f64 (/.f64 1 (log.f64 10)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 4) (/.f64 1 (*.f64 2 (*.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 4) (/.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (/.f64 1/2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (*.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 10) 2))) (/.f64 1 (/.f64 -1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (*.f64 (/.f64 1 (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 -1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 -1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 -1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 10)) (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 10) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) 2) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (*.f64 2 (pow.f64 (log.f64 10) 2))) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (*.f64 2 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))))

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1826×	`rational.json-simplify-35`
1136×	`rational.json-simplify-49`
958×	`rational.json-simplify-2`
902×	`rational.json-simplify-53`
858×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	2157
1	352	2157
2	843	2157
3	2302	2157
4	5493	2157

Stop Event

1×	node limit

Counts

77 → 56

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 0)
(+.f64 0 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(-.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 0)
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))
(*.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 2 (log.f64 10))))
(.f64 2 (/.f64 (log.f64 10) (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))))
(*.f64 2 (/.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 2))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))
(*.f64 1 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(*.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 1)
(.f64 (.f64 (log.f64 10) 2) (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 (log.f64 10) 2) (.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))) 1))
(.f64 (.f64 (log.f64 10) 2) (.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 1 (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 (log.f64 10) 2) (/.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) 4))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) 2))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (*.f64 1/2 (log.f64 10)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)) (*.f64 (/.f64 (log.f64 10) 2) 1))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (log.f64 10) (*.f64 2 (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 (log.f64 10) (.f64 2 (pow.f64 (log.f64 10) 2))) 1))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 1 (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (log.f64 10) (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))
(.f64 (.f64 (log.f64 10) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))) 1/2)
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 4) (/.f64 1 (*.f64 (/.f64 1 (log.f64 10)) 4)))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (.f64 (pow.f64 (log.f64 10) 2) (.f64 (/.f64 1 (log.f64 10)) 4))))
(.f64 (.f64 (log.f64 10) 4) (/.f64 1 (.f64 2 (.f64 2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))
(.f64 (.f64 (log.f64 10) 4) (/.f64 1 (/.f64 (pow.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) 4))))
(.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (/.f64 1/2 (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (atan2.f64 im re))
(.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 10) 2))) (/.f64 1 (/.f64 -1 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 10) 2))))
(.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (.f64 (/.f64 1 (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2)))))
(.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 -1 (log.f64 10)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))))
(*.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 -1 (log.f64 10))))
(.f64 -1 (/.f64 (.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2))))
(.f64 -1 (/.f64 (atan2.f64 im re) (.f64 (/.f64 1 (log.f64 10)) (neg.f64 (pow.f64 (log.f64 10) 2)))))
(.f64 -1 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 10) 2) (/.f64 -1 (log.f64 10)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))))
(*.f64 (neg.f64 (log.f64 10)) (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(.f64 1/2 (.f64 (log.f64 10) (/.f64 (*.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2))))
(.f64 (/.f64 (log.f64 10) 2) (/.f64 (.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) 2)))
(.f64 (/.f64 (log.f64 10) (.f64 2 (pow.f64 (log.f64 10) 2))) (*.f64 (atan2.f64 im re) 2))
(.f64 (/.f64 1/2 (pow.f64 (log.f64 10) 2)) (.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))
(.f64 (.f64 (atan2.f64 im re) 1/2) (*.f64 2 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) 2))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 0)
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(+.f64 0 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(-.f64 (/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) 0)
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10))
✓	0.6b	(/.f64 4 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10)))
	0.8b	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
	1.0b	(pow.f64 (log.f64 10) 2)

Compiler

Compiled 62 to 46 computations (25.8% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	inf	(/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10))
0.0ms	im	@	0	(/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10))
0.0ms	im	@	-inf	(/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10))
0.0ms	re	@	-inf	(/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational.json-simplify-2`
1130×	`rational.json-simplify-35`
796×	`bool.json-1`
796×	`bool.json-2`
766×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	160	72
2	549	72
3	1930	72
4	6253	72

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10)))
(/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (/.f64 1/2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 2) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (log.f64 10) (/.f64 1/2 (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (*.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (/.f64 1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (log.f64 10))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 1/2) (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (/.f64 1/2 (pow.f64 (log.f64 10) 2))) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))) (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))) (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) 2) (/.f64 2 (/.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) 2) (*.f64 (/.f64 4 (log.f64 10)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) 2) (*.f64 (/.f64 4 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re))) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))) (*.f64 (/.f64 4 (log.f64 10)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))) (*.f64 (/.f64 1 (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 10) 2)) (*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (*.f64 (atan2.f64 im re) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (log.f64 10)) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)) (/.f64 4 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (/.f64 4 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re))) (/.f64 4 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)) (pow.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) (pow.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 10)) (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) (*.f64 2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 (log.f64 10)) (/.f64 1 (atan2.f64 im re))) (pow.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 (log.f64 10)) 1/8) (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re))) (/.f64 4 (log.f64 10))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 10)) 1/2) (*.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (*.f64 (atan2.f64 im re) 1/2))) (*.f64 2 (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))) (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))))))))

simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1478×	`rational.json-simplify-2`
1436×	`rational.json-simplify-55`
1072×	`rational.json-simplify-61`
1054×	`rational.json-simplify-43`
802×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	3162
1	243	3162
2	552	3162
3	1374	3162
4	3746	3162
5	6578	3162

Stop Event

1×	node limit

Counts

108 → 64

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (/.f64 (log.f64 10) (atan2.f64 im re)))
(+.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))) 0)
(+.f64 0 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))) 0)
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))) 1)
(.f64 1 (.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 (log.f64 10) 2) (/.f64 1/2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))))
(.f64 (.f64 (log.f64 10) 2) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2))
(.f64 (.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (*.f64 (log.f64 10) 1/2))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (log.f64 10) (/.f64 1/2 (pow.f64 (log.f64 10) 2))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) (.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (/.f64 1 (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 1 (/.f64 1 (log.f64 10))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(*.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 10) 2)) (atan2.f64 im re))
(.f64 (/.f64 1/2 (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re))) (.f64 (log.f64 10) 2))
(.f64 (.f64 (log.f64 10) 1/2) (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))))
(.f64 (.f64 (log.f64 10) (/.f64 1/2 (pow.f64 (log.f64 10) 2))) (*.f64 (atan2.f64 im re) 2))
(.f64 (.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (pow.f64 (log.f64 10) 2)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) 1/2) (*.f64 (log.f64 10) 2))
(+.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))) 0)
(+.f64 0 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10))))
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Outputs
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 4 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (neg.f64 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))) -1)
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (/.f64 1 (log.f64 10)) (.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re))))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)) (pow.f64 (log.f64 10) 2))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 2 (/.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) (pow.f64 (log.f64 10) 2))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 1/2 (.f64 2 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (/.f64 1 (/.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re)))) (.f64 2 (pow.f64 (log.f64 10) 2)))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 4 (log.f64 10)) (/.f64 1 (atan2.f64 im re))) (pow.f64 (log.f64 10) 2))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 4 (log.f64 10)) 1/8) (.f64 2 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re))) (/.f64 4 (log.f64 10))) 1/4)
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 4 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 1 (log.f64 10)) 1/2) (.f64 2 (.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (atan2.f64 im re)))))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (.f64 (atan2.f64 im re) 1/2))) (.f64 2 (pow.f64 (log.f64 10) 2)))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))
(neg.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 10) 2) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 10)))))
(.f64 (pow.f64 (log.f64 10) 2) (/.f64 4 (.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (/.f64 (pow.f64 (log.f64 10) 2) (log.f64 10)) (atan2.f64 im re)))

eval575.0ms (2.2%)

Compiler: Compiled 15098 to 11912 computations (21.1% saved)

prune271.0ms (1%)

Pruning

23 alts after pruning (10 fresh and 13 done)

	Pruned	Kept	Total
New	819	1	820
Fresh	0	9	9
Picked	0	1	1
Done	0	12	12
Total	819	23	842

Error

Counts

842 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.8b	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
	0.8b	(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))
	5.4b	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 1 (atan2.f64 im re))))
✓	0.8b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))
	10.2b	(/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 10)))
✓	1.4b	(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
✓	1.3b	(/.f64 (log.f64 10) (/.f64 (/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
	1.4b	(/.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))
✓	0.7b	(/.f64 4 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10)))
✓	0.7b	(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
✓	1.1b	(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
	1.4b	(/.f64 1 (/.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (log.f64 10)))
✓	1.2b	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	5.6b	(.f64 (atan2.f64 im re) (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (/.f64 -1 (atan2.f64 im re))))
	10.5b	(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))))
	1.5b	(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))))
	12.9b	(*.f64 (/.f64 1 (log.f64 10)) (+.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re)))))
✓	0.9b	(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
✓	0.9b	(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
✓	10.6b	(*.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))
✓	10.6b	(.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
	1.4b	(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))

Compiler

Compiled 371 to 292 computations (21.3% saved)

regimes52.0ms (0.2%)

Counts

29 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (+.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
(/.f64 1 (/.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (log.f64 10)))
(/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10)))
(/.f64 (log.f64 10) (/.f64 (/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 1 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))) (neg.f64 (atan2.f64 im re)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (/.f64 -1 (atan2.f64 im re))))
(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (+.f64 (-.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))) -1)) (neg.f64 (atan2.f64 im re)))
(.f64 (log.f64 10) (/.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))))
(*.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (atan2.f64 im re) 2))))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))))
(/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))) (atan2.f64 im re))
(.f64 (log.f64 10) (.f64 (atan2.f64 im re) (/.f64 1 (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))))))
(.f64 (log.f64 10) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 2 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 1/2)))))

Outputs
(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))

Calls

4 calls:

14.0ms	re
14.0ms	im
7.0ms	(atan2.f64 im re)
6.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))

Results

Error	Segments	Branch
0.7b	1	`re`
0.7b	1	`im`
0.7b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.7b	1	`(atan2.f64 im re)`

Compiler

Compiled 459 to 302 computations (34.2% saved)

regimes38.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (+.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
(/.f64 1 (/.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (log.f64 10)))
(/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10)))
(/.f64 (log.f64 10) (/.f64 (/.f64 (*.f64 (log.f64 10) 2) (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 1 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))) (neg.f64 (atan2.f64 im re)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) (/.f64 -1 (atan2.f64 im re))))

Outputs
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10)))

Calls

4 calls:

10.0ms	re
10.0ms	im
5.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
4.0ms	(atan2.f64 im re)

Results

Error	Segments	Branch
0.7b	1	`re`
0.7b	1	`im`
0.7b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.7b	1	`(atan2.f64 im re)`

Compiler

Compiled 279 to 189 computations (32.3% saved)

regimes31.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (+.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
(/.f64 1 (/.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (log.f64 10)))
(/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))

Outputs
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))

Calls

4 calls:

9.0ms	im
9.0ms	re
5.0ms	(atan2.f64 im re)
4.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))

Results

Error	Segments	Branch
0.8b	1	`re`
0.8b	1	`im`
0.8b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.8b	1	`(atan2.f64 im re)`

Compiler

Compiled 199 to 143 computations (28.1% saved)

regimes32.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (+.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
(/.f64 1 (/.f64 (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))) (log.f64 10)))
(/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 10)))

Outputs
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))

Calls

4 calls:

12.0ms	im
7.0ms	re
5.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
4.0ms	(atan2.f64 im re)

Results

Error	Segments	Branch
0.8b	1	`re`
0.8b	1	`im`
0.8b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.8b	1	`(atan2.f64 im re)`

Compiler

Compiled 185 to 132 computations (28.6% saved)

regimes24.0ms (0.1%)

Accuracy

Total -12.4b remaining (-1470.1%)

Threshold costs -12.4b (-1470.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
(/.f64 2 (*.f64 (log.f64 10) (/.f64 2 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (+.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))))
(*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))
(/.f64 (log.f64 10) (/.f64 (pow.f64 (log.f64 10) 2) (atan2.f64 im re)))
(/.f64 (log.f64 10) (*.f64 (log.f64 10) (/.f64 (log.f64 10) (atan2.f64 im re))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))

Calls

4 calls:

7.0ms	im
7.0ms	re
3.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
3.0ms	(atan2.f64 im re)

Results

Error	Segments	Branch
0.8b	1	`re`
0.8b	1	`im`
0.8b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.8b	1	`(atan2.f64 im re)`

Compiler

Compiled 131 to 96 computations (26.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	195

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
(/.f64 4 (*.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (/.f64 1 (log.f64 10))))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (log.f64 10)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (/.f64 1 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 75 to 65 computations (13.3% saved)

soundness0.0ms (0%)

end51.0ms (0.2%)

Compiler: Compiled 67 to 53 computations (20.9% saved)